diff --git "a/data/dm_maths/full_data_1/1540_11255.jsonl" "b/data/dm_maths/full_data_1/1540_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1540_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Expand (2*g - 1 + 1)*(-74 + 37 - 117) + 10 - 5*g - 6 + 4*g - 5 - 1.\nAnswer: -309*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/((-10)\/(-15) + 974\/(-1470)). Solve -1228 = -3*w - g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*sqrt(112) + 1).\nAnswer: -16*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 267287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 9*a**2 - 443*a - 4892. Determine g(-11).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.623666 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -3. Let g(f) be the second derivative of -f**5\/20 - f**3\/6 - f**2 - 3*f. Let w be g(-2). Solve -l = -4*v - 5, 0 = v - r*l + w*l - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4 + (-1284)\/(-24). Suppose -29*b + o = -26*b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -141, -0.25, -87\/49, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0004 * -2921.\nAnswer: 1.1684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160692 divided by -6.\nAnswer: -26782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -834*l = -829*l - 5. Is l greater than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24174770 and 1?\nAnswer: 24174770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*l + 14*l - 21*l + 40 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (258\/430)\/((-99)\/30).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 65 = -a + 60, -2*f = 4*a + 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*y = -0 + 6, 4*y = 4*h + 8. Put -5, -1, h, 17 in descending order.\nAnswer: 17, -1, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.16 + 0.14. What is the biggest value in n, 0.1, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 432 and 176?\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 157225, 314409, 471593, 628777, 785961?\n\"Answer: 157184*j + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/112 and -51\/280?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 15308*a - 15307.\nAnswer: -(a - 15307)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.3 (b) 0.35 (c) 11\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**3 - 180395292*g**2 + 360790572*g - 180395284 = 0?\nAnswer: 1, 45098821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 2:19 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 7) to base 8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1777.007824 + 1777. What is k rounded to 4 dps?\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-49 - -40)*(-942)\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3434 = 5*p - 18*h + 20*h, 4*p + 3*h - 2743 = 0. Let z(y) = -348*y + p*y - 341*y. Let x(g) = 18*g. Give x(z(c)).\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*t + 12, -7*f + 9*f - 12 = -3*t. Solve -s + c + 2 = f, s - 21 = -2*s - 2*c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382308290?\nAnswer: 2, 5, 7, 13, 60017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of q + 8*q - 13 + 25 wrt q?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 18. Let i(a) = 64*a - 6366. Calculate w(i(r)).\nAnswer: 64*r - 6348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 + -46. Suppose -4*y = -y - h. Let o(w) = -2*w - 8. Let p(b) = b + 5. Let c(k) = 5*o(k) + 8*p(k). Let d(l) = -1. Determine y*d(q) - c(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 l when four letters picked without replacement from lncnnnlnlc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 2*p**3\/3 - 7*p - 139. Let k(c) = c**3 + 9*c**2 - c - 27. Give 2*k(h) - 9*v(h).\nAnswer: 2*h**3 - 2*h + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -54*h - 42. Determine a(-2).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17380.3 - 17380. What is the fourth biggest value in -0.1, -9, 293, c?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3831074251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1196350883?\nAnswer: 7, 13, 1669, 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-38)\/(-57))\/(2 - 71\/36). Suppose 13255 = -h*r - 737. What is r rounded to the nearest 10?\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8\/357 + 4379\/1071. What is the common denominator of -131\/8940 and q?\nAnswer: 26820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (8 - (8 - -1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7621740 divided by -110460\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3385, -236 in decreasing order.\nAnswer: 3385, 4, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7333, -7349, -7337, -7279, -7157?\n\"Answer: 3*b**3 - 4*b**2 - 25*b - 7307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1838153?\nAnswer: 41, 107, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 651*a = 122*a + 1051 + 2652 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-77)\/(-66))\/(5\/120*4).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (30\/12)\/(14\/8). Let o = -41 + 297\/7. Solve 4\/7*v**4 + o*v**3 - 4\/7 - x*v + 0*v**2 = 0 for v.\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 660 + -660.1. Let s = -3\/62 - -37\/124. Which is the closest to z? (a) s (b) 0.5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27f0eac7 + 5?\nAnswer: -27f0eac2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1482 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -63 + 4?\nAnswer: -5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 0.15158\nAnswer: -0.45474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4684340 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 706 in increasing order.\nAnswer: 0, 4, 706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -458, 2 in decreasing order.\nAnswer: 4, 2, -5, -458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120 + 118. Which is the closest to h? (a) -1 (b) -1\/26 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 5 = -k, -3*j = -2*k + 2 + 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -334 (base 5) to base 13\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 995*c**2 - 3*c - 9. Let i(g) = -2986*g**2 + 10*g + 30. Give 3*i(h) + 10*s(h).\nAnswer: 992*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -3*u - 171 + 183, 5*u = 3*f + 34 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b. Let s(a) be the second derivative of -a**5\/60 - a**4\/24 + 3*a**3\/2 - 26*a**2 + a. Let t(u) be the first derivative of s(u). What is t(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, t: 7, e: 2, d: 3}. Give prob of picking 1 n and 1 e.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3397 - 1a1?\nAnswer: 31b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 15 + 3. Suppose -t*o = -o. Solve o = j + 1 - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/44 and 43\/104?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t - 15748910 + 15748910 + 15*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 8 (b) -0.4 (c) 1 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zctrctpzpxrz. What is prob of picking 1 z and 1 c?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4441*k**2*m**4 - 11090627*k**2 + 1614*k*m**2 + 3*m wrt m.\nAnswer: -53292*k**2*m**2 + 3228*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 3:10 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b1 + -5?\nAnswer: -1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**6\/60 - a**5\/10 + 9*a**4\/8 - 2*a**2 - 4*a. What is the second derivative of j(x) wrt x?\nAnswer: -12*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -365 - 41005623?\nAnswer: -41006321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 x, and 2 y when four letters picked without replacement from {x: 4, t: 1, l: 1, y: 9, c: 1, b: 1}?\nAnswer: 36\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 366 + -368. Let j be (-5)\/(90\/(-12))*a\/(-6). What is the third smallest value in 3, 1\/3, j, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 4 + (8 + 15 + 1)*(-2 - 1 + 1))*(411*f + 3676 - 3676) as j*f + r and give j.\nAnswer: -20550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*q - 1650 = -192*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4405*f - 1149705. Determine v(-261).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -10. Let l = h - 4. What is the greatest common divisor of 4 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -463\/2 - -222. Let p be (-5 + 0)\/(0 - -1). Calculate the common denominator of l and (-6)\/p*(1 + 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*r + 12*r + 8 - 7*r to a*r + d and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - q - q - 347996 = 0, 695989 = 2*l - 5*q. Suppose -t + l = v, 725122 = 3*v - 5*t - 318868. What is v rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -3*v**4\/4 - 3*v**2\/2 + 11*v. What is the derivative of s(c) wrt c?\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552 a factor of 1573355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 2 + (6 - (19 + -6)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.1 - 2. Let y = s + -0.100048. What is y rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-2))\/((-14)\/12). Let q = 1.39 + 3.35. Let c = q + 0.26. What is the biggest value in c, k, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -1946*r + 9719. Calculate s(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -51, -86, -139, -216?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/16*(-14 - (2 + 0)). Solve -2*s = -4*u + f, -3*u + 12 = -2*s - u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -289350 by -2.\nAnswer: 144675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t + 8. Let q(d) = 5*d - 9. Let u(p) = -2*n(p) - 3*q(p). Let w = 62 - 58. Let h be u(w). Which is the closest to h? (a) 4 (b) -1\/6 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 5. Suppose 4320 = -4*p - z*p. Let m = 2099\/2 + p. Calculate the common denominator of m and -121\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3103286*z**5 - 4408*z**2 + 457*z wrt z?\nAnswer: -186197160*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**3\/6 - z. Let p be o(0). Suppose -2*w + 4*d - 4 = 0, d = -w - 3*d + 10. Solve 2*t + w + 2 = p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 15*t - 39. Let c be p(18). Suppose -12 = -c*l + 9*l. Does 12 divide (-1)\/(-1)*l*(1 - -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1648)\/4*3\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -114 + 117. Solve 15 = -0*a + d*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26 - -3a2?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*k + 6892 + 3650, 0 = -4*r + 2*k + 10548. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-18)*-3)\/(4\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102229393?\nAnswer: 7, 2089, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15414 at least as big as 0.368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + ((-18)\/15)\/((-33)\/550). What is the highest common factor of 45 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 - 10)\/(2\/113). Let w = 3725\/22 + j. Which is the smallest value? (a) 9\/2 (b) -1\/4 (c) -0.5 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opepdxpeepqq. Give prob of sequence xdq.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 13*m - 975. What is l(75)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 w, and 1 f when three letters picked without replacement from {y: 2, w: 1, e: 1, a: 2, f: 2, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-63.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, z: 2}. What is prob of sequence jz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 5. Let g(l) be the second derivative of l**4\/12 + 2*l**3 - l**2 - 6*l. Let j(f) = -f**2 - 11*f + 2. Let c(y) = 6*g(y) + 7*j(y). Give c(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 593*a. Let n(x) = -1003*x**2. Determine l(n(o)).\nAnswer: -594779*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3 + (3 - 5 + 3)*(-2 + 0 + 3) - 2 - 3 + 3)*(5*b - 19 + 22 - 13).\nAnswer: -15*b + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -19*u**2 + 579*u + 593. Give w(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*p**2 + 58 - 58)*(14*p**2 - 6*p**2 - 43*p + 53*p) as g + q*p**3 + v*p**4 + n*p**2 + d*p and give q.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3)\/y)\/(((y**4\/y)\/y)\/y*y))**(-13\/2)*((y**4\/y*y)\/y*y\/y**10)**43 assuming y is positive.\nAnswer: y**(-1405\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88168 (base 12) to base 5.\nAnswer: 21224221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -214.5 to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4526.\nAnswer: 2, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f, -3*k - 3*f - 15 = -7*f. Is (-2)\/k - 3704\/(-40) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314145883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5, -245, -901, -2183, -4301, -7465, -11885, -17771?\n\"Answer: -35*j**3 + 2*j**2 - j + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 9:05 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = k + 16. Let h = k - -18. Suppose -2*z - j + 11 = -2*j, -29 = -h*z - 5*j. Solve 3*l + 2 + z = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 313*y**4 - y - 548 with respect to y.\nAnswer: 1252*y**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 110111111010010000110?\nAnswer: -110111111010010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*n + 56 = -457 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 + 351 = 2*d + o, 3*d + 4*o - 817 = 0. Let g = -181 + d. Suppose w - 3*x + 14 = g, 3*w = -4*x + 188. Is w a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/53 - 21\/424. Let t = 1091\/5 - 219. Let v be ((-6)\/(-8))\/(78\/(-16)). Which is the closest to y? (a) -0.3 (b) v (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**4 + 1038*x**3 - 1055*x**2 - 2176*x + 7569?\nAnswer: -24*x**2 + 6228*x - 2110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128\/56 - 4\/14 - -566?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 5 + 167*s**3 + 4.\nAnswer: 167*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2717.\nAnswer: 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2295 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(336) + sqrt(336))\/(sqrt(108)\/sqrt(4)).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**4 + 284*s**3 + 3*s**2 - 105035*s?\nAnswer: 12*s**2 + 1704*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10*-3*(3330\/36)\/37.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -2)\/((-3)\/1). Suppose -3*y + 126 - 33 = p. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 623*n**3\/3 + 103*n**2\/2 - 564. What is the second derivative of f(j) wrt j?\nAnswer: 1246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 301\/(-12) - (-679)\/8148?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 11:34 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 50\/(-17))\/(485\/140553) - -17\nAnswer: -4\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**2 - 11*p - 5 - 15*p**2 + 6*p**2 + 4*p**4 + 7*p**2 + 4 + 2*p**3 to u*p**3 + s + v*p**2 + l*p + t*p**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -764, -481, 18, 697, 1520, 2451, 3454?\nAnswer: 4493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.99 + -115.11. Let f = 13.9 - g. Let p = -138.5 + f. What is the second biggest value in 0.4, 0.3, p, -7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -27 (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 13268, -0.1, 7\/12?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(76) + 1*sqrt(76)))\/(sqrt(100)*-1) - (sqrt(76) - (sqrt(76) - sqrt(76)*2*2 - sqrt(76)))\/(sqrt(144)*-1)) + 1.\nAnswer: 1 + 17*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 233999 by -5.\nAnswer: -233999\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160923 and 582.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -126*y**2 + 1459*y + 1454. What is f(-1)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1056 divided by 264\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 520815\/109 and 4778 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -11\/360, -1, 4, -0.2, 0.236?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*n**3 + 44*n + 1941*n**2 - 42*n - 1974*n**2 as c*n**3 + t*n**2 + p*n + w and give t.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/195*-3*(-15)\/(-3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-396)*11*(-240)\/315.\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (2 - -28) - (9\/27 + (-22)\/3).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 778 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 199505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23372, -23331, -23288, -23249, -23220, -23207?\nAnswer: -23216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 70 in 0, -2\/11, -771?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-89)\/356 - 1\/((-8)\/42). Let g = 115 - v. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*l + 3 - 3 = 0. Let f be 2\/5 - (-17)\/(-5). Let i be f\/(2 - (-5)\/(-4)). Put i, l, 5 in decreasing order.\nAnswer: 5, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 7*h - 4*h + h - 5*h. Let w = 1 + -2. Let o(t) = -2*t + 4. Let j(p) = p - 5. Let y(f) = 2*j(f) + 3*o(f). What is w*y(r) + 5*q(r)?\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, p: 4, x: 4, l: 3}. What is prob of sequence lc?\nAnswer: 27\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2107*n - 796*n + 76066 = -2329 - 26113 for n.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16160*k**3*v**5 - 348*k**3*v**2 - k**3 - 6*k**2*v - 102673*k*v - v wrt v.\nAnswer: 323200*k**3*v**3 - 696*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrllllrllrlrrllrrrrl. Give prob of sequence rrr.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhr when three letters picked without replacement from {d: 1, r: 7, h: 2, y: 4, l: 3}?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 14. Let d(k) = k**2 - k - 2. Let c be d(-3). Calculate the greatest common factor of c and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 1032311?\nAnswer: 1032320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 93, 1, -989 in decreasing order.\nAnswer: 93, 1, -1, -989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 1. Let b(d) be the third derivative of d**4 - 8*d**3\/3 - 8*d**2. Let x(k) = -b(k) - 16*p(k). Determine x(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 40 = -2*n + 26, 0 = 5*d + 20 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-51586)\/((162\/(-108))\/(3\/4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22042*p**6 + 92*p**4 - 88332754*p**2?\nAnswer: -2645040*p**3 + 2208*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31529.41369764 - 36.48647836. Let q = v - -31565. Let w = -0.9 - q. Round w to five decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21500 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 211534 + -4?\nAnswer: 211530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1940, 3907, 5874, 7841?\nAnswer: 9808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - 27. Let s = -12 + d. Suppose 4*u - s*u = 21. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 130 = -0*i. What is the remainder when i is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 327 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)*1*-1 + sqrt(50) + sqrt(600)\/(sqrt(96)\/sqrt(8)) + 2 + sqrt(200)\/(sqrt(4) + -5*sqrt(8)\/sqrt(2) + sqrt(4)))**2 + -2.\nAnswer: 40*sqrt(2)\/3 + 218\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19100 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14018 + -7150. What are the prime factors of u?\nAnswer: 2, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70*c**3 - 310002*c**2 + 7703729.\nAnswer: -210*c**2 - 620004*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(13) + 3 + -1)*-6)**2.\nAnswer: -288*sqrt(13) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(209)*2)\/(6*sqrt(99)\/sqrt(9)) + -2)**2.\nAnswer: -8*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**3 + 6*k**2 + 3 - 2*k**3 - 8*k + 3 + 34*k - 15*k = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/5348336 and -6\/901.\nAnswer: 5348336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2255921303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (8 - 3) + -4 + 3 + -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/5 - 18\/(-45).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/(-154)*10)\/((-24)\/(-140))*(3 - 5).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2) - 4\/(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = 9*y - 4*y. Let l be (-120)\/(-16) + y\/6. Factor 0 - w**2 + l*w + 1\/2*w**3.\nAnswer: w*(w - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/21 + (-12)\/(-28). Suppose 21 = h - l, f*h - 3*l - 97 = -3*h. Suppose q + 65 = 2*k, 0 = -k - 3*q + h - 2. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.0508903 millennia?\nAnswer: 610.6836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.7571532nm?\nAnswer: 0.0000007571532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 65*y**9\/504 + 11*y**6\/120 - 493*y**5\/30 + 4*y**2 + 26. What is the third derivative of h(d) wrt d?\nAnswer: 7800*d**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 54 - 170 - (-1 - 27)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (q + q - 4*q)*(-16*q - 39 + 52*q - 94 - 81*q - q**2) in the form u*q + h + p*q**3 + a*q**2 and give a.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a factor of 19262378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10, i: 9}. Give prob of picking 3 u.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/481 or 15046?\nAnswer: 15046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 496 + -499. Let a = -4 - -4. Let h(j) = j**2 + 0*j**2 + 4 + 6*j + a*j**2. Calculate h(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 5\/7*h**3 - 9\/7*h**2 + 1\/70*h**5 - 34*h - 1\/6*h**4 + 0. Let t(f) = 0. What is f?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2. Let f(k) = k**2 + 4*k - 8. Calculate -3*b(p) - f(p).\nAnswer: -p**2 - 4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 0 + 0 - 56*u. Suppose -5*v = 3*h + 6, -7*h + 4*h = 2*v - 3. Is z(v) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (195\/(-12))\/(80*3\/384)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 6*m**2 + 2*m - 2. Let y be w(5). Let j = -7 - y. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = l + l. Let y = 37 - 26. Let b(d) = 15*d - 13. Let x(r) = -8*r + 7. Let v(t) = y*x(t) + 6*b(t). What is v(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 3) + 39908\/23436. Let b = m - 40\/217. Let a = -3697\/174 - -7\/87. What is the common denominator of a and b?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -86378, -86868, -87358?\n\"Answer: -490*r - 85888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.357484 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8*(w*(w**(2\/15)*w)\/w)\/w*w)**(-2\/27)*w*w\/((w*w**(2\/35)*w*w*w)\/w)*w\/w**4*w\/(w**5*w)*w**5 assuming w is positive.\nAnswer: w**(-2684\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -1. Let d = -79 - -166. Let y = d + -263\/3. Sort 2, q, y in increasing order.\nAnswer: y, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 2*o + 4. Let a(b) = 9*b**2 + 15*b - 33. Let x(i) = 4*a(i) + 33*v(i). What is the second derivative of x(g) wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 10*g + 7. Let t be k(11). Let w be 1 + t\/6*-6. Solve 1 = -w*b - 14 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36719 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - u + 12 = 4*f, 2*u = 4*f - 16. Suppose 0 = -f*c + 5*a + 60, -2*c - a = -19 - 2. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 12 = -3*j, -3*j = -6*j + 2*i + 12. Let f = j + 1. Suppose 3*k = 4*k + 1, f*k + 22 = u. What is the remainder when 50 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-7396)\/(-3870))\/((-6)\/5) and 70\/117.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k = 16*k + 14*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (55 - 88) + (10 - 7) + -6?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2569 - -2573. Solve -5*v - 15 = -4*o - 48, w*o - 3*v = -23 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 2)**2*-2 + -2.\nAnswer: -14 - 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 622747837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93089.\nAnswer: 93089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.23, -5, -0.1 in decreasing order.\nAnswer: 0.23, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*q - 828 = -236*q - 233*q + 709*q for q.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 13*z**2 + 11*z - 16. Let a be b(-12). Let d be (10\/a + 3)*4. Suppose d*t = -2*t. Solve 0 = -l - t*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*l + 2*l - 14*l + 24*l as x*l + g and give x.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -32. Let j = 0.3 + -0.3. Let l = 0.7 + 2.3. What is the third smallest value in l, j, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000912269155 to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 162110 rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -2381?\nAnswer: -2383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.6 and 0.034.\nAnswer: -0.3264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven eighths of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3069, 3359, 3639, 3909, 4169?\nAnswer: 4419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 211835600 rounded to the nearest one million?\nAnswer: 212000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7ad17 - -4?\nAnswer: 7ad1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-2 + -1 + -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 245010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 79021 (base 11) to base 8\nAnswer: 337471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526462*v = -526458*v - 4*j - 72, -v + 20 = j for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -3. Let p = 1 + d. Let c = -473\/6 - -79. Which is greater: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11257\/2574 + 34\/143. What is the common denominator of j and 85\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1580921, -1580923, -1580925, -1580927, -1580929?\n\"Answer: -2*q - 1580919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -3 - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 y when three letters picked without replacement from affaaffafyaaaaypfa?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1560 = -74*m + 77*m. Suppose 165*q + m = 169*q. What is the highest common divisor of 39 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -239a9 (base 14) to base 16.\nAnswer: -153c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from {x: 3, s: 2, j: 2, y: 1, n: 6}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 11 - 15 + 50 + 14*v + 19*v.\nAnswer: 33*v + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u = 57*u - 1330. Let k be (4 + 51)\/(-2*2\/(-4)). What is the highest common divisor of k and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 322 and 31358108?\nAnswer: 219506756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -178093, -178006, -177903, -177778, -177625, -177438, -177211?\n\"Answer: f**3 + 2*f**2 + 74*f - 178170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-6))\/((-16)\/(-984)). Suppose -4*t = 4*r - 31 - y, t + 4*r - 27 = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9635681 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q - 92468*q**2 + 3 + 92467*q**2 + 0*q - 4 + 21*q**3 - 8*q**4 to y*q + h*q**4 + a*q**3 + d + i*q**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17852*c - 17857*c + 35702*c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 7\/(84\/66). What is the closest to 2\/5 in s, 2\/5, -4\/11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7109.5*6.722.\nAnswer: -47790.059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9*f - 1. Let l = -19 + 24. Suppose 5*o + 0*g = 4*g - l, -5*o + g - 20 = 0. Let a(h) = 0*h - 5 + 3 - 14*h. Give o*a(z) + 8*r(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.075 + 0.025. What is the smallest value in -4, b, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271694 rounded to the nearest 1000?\nAnswer: 272000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k. Let x(q) be the first derivative of -3*q**2\/2 + 13*q - 9. Calculate x(t(f)).\nAnswer: 6*f + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/b**1)**(-1)*(b\/((b**3\/b)\/b))\/(b**(-4\/7)*b) assuming b is positive.\nAnswer: b**(-17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**6\/80 + 13*a**4\/6 + 35*a. Let h(x) be the third derivative of r(x). Let b(l) = 3*l - 3*l - l**2. What is h(b(w))?\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = z + 145*v - 141*v, 0 = 2*z - 2*v - 58. Calculate the remainder when z is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63503649 and 711747.\nAnswer: 571532841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**3 + 72*s**2 + 434*s - 4. Give v(-12).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 - 3)*(2*x + 0*x - 3*x) + (832 + 535 - 792)*(-2*x + 3*x - 9*x) to the form c*x + m and give c.\nAnswer: -4598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n + 46. Suppose v + 0 = 2, k + 5*v = -12. Let w be u(k). Let t be ((-33)\/(-12) + -4)*(-1550 - w). Round t to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*j**6 - 11*j**3 + 4*j**6 + 27*j**6 + 925*j**2 + 20*j**6 wrt j?\nAnswer: 960*j**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5964 rounded to two decimal places?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 - 4*k. Let l be i(4). Let p = -32 + 36. Calculate the highest common factor of p and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1054.43603 rounded to the nearest integer?\nAnswer: -1054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 0. Is 2 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 1, -5, -2.\nAnswer: -5, -2, 1, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13276, 27482, 41688?\n\"Answer: 14206*i - 930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10006 divided by -73?\nAnswer: 10006\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, i: 19}. What is prob of picking 1 i and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15.9 and -2?\nAnswer: -31.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*-1)\/sqrt(6))\/(1*sqrt(1296)).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/172, 0.1, -0.2, -0.1, 0.5.\nAnswer: -0.2, -0.1, 3\/172, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 306*h + 305*h = -11, 6*t + 3*h = 15 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/36)\/(-1)*(-105)\/(-10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25664 - -25666. Factor 2*l**3 - 54\/7*l + 20\/7 - 60\/7*l**w.\nAnswer: 2*(l - 5)*(l + 1)*(7*l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00163 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6529890 and 614?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 315853 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 228\/32 - 4 - 3. What is the nearest to 4 in o, 4, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 409104.\nAnswer: 409104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.863 and 3292.\nAnswer: 3292.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 0.39651108\nAnswer: 0.19825554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-468)*6)\/((-6)\/18)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117135438 by -39045146.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - -2.9. Let o = 28\/1629 - -4775\/6516. Which is the third smallest value? (a) 5 (b) s (c) o (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7662 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2609543 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 k when four letters picked without replacement from {a: 16, k: 4}.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m**2 - 15*m + 1. Let h(a) = a. Give o(h(u)).\nAnswer: -5*u**2 - 15*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1159*n - 12138 = -1176*n. Calculate the highest common divisor of n and 294.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/33930 and -1\/78.\nAnswer: 33930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -45 (b) 6 (c) 5 (d) -1\/6 (e) -0.1 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*h**3*m**2 - h**3*m + 3*h**3 - 2*h**2*m**5 - 10*h*m + 29*m wrt m.\nAnswer: 82*h**3 - 40*h**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6*l + 1. Let s(r) = -19*r + 3. Let j(t) = 7*k(t) - 2*s(t). What is the remainder when 37 is divided by j(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2150?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 588, 578, 568?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4765.2 - 828?\nAnswer: 3937.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.047 - 9.753. Let u = -3.8 - d. Let r be (5 - (-18)\/(-3))\/(0 + -1). What is the nearest to r in 4, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*j**3 + 2*a**3*j**2 - 17*a**3*j + a**2 - 44*a*j**3 wrt j?\nAnswer: -6*a**3*j + 4*a**3 - 264*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, n: 4, f: 2, q: 1, v: 3}. What is prob of picking 2 n?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -425774 at most as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 1\/3, 6, 1, -713.\nAnswer: -713, 0.08, 1\/3, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 235, 921, 2053, 3619, 5607, 8005, 10801?\n\"Answer: -2*m**3 + 235*m**2 - 5*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -14*3\/(-12)*2. Suppose 12*r = -1955 - 481. Let t = r - -205. Solve -x + t - j = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -131*y**3 - 2*y**2 + 1. Let c be q(1). Let k be 4\/(-3)*153\/34. Let i be (-2*(-1)\/k)\/(2\/c). Is i < 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 406*v**2 - 116417*v - 10188. Calculate s(-600).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*h - 9, 0*w = -3*w - 9. Let m = -8 - h. Let b be (-2)\/8*(m - -9). Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, -26 in ascending order.\nAnswer: -26, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5997 * 0.5\nAnswer: 2998.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (105\/(-10))\/(-3) - (-9)\/(-18). Suppose -2*g - 13*p + 2407 = -16*p, -f*g + p + 3600 = 0. What are the prime factors of g?\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 124722 - 124721.99999936833. Round i to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbb. Give prob of sequence bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*x - 2*x + 1960 = 0, -c = -3*x - 411. Suppose -c = -5*a + 4*u, -5*u + 3*u - 236 = -3*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 310992 divided by -4\nAnswer: -77748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*u - 11*u + 9*u.\nAnswer: -32*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 + -76. Which is the fourth biggest value? (a) -1\/3 (b) 7 (c) o (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 - 69.72. Let t = u + 0.86. Let j = t - 3.14. Which is the closest to -0.8? (a) j (b) 1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 759367 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 8*f**2 - 6*f - 7. Let q be x(7). Let t be 7 + -1 + (-22)\/(44\/14). Put t, q, -11, -5 in descending order.\nAnswer: q, t, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 - 6884*b - 14*b**3 + 6884*b.\nAnswer: -14*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(-7) + 22\/77.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -8*k + 8 + 0 + 2*k**2 + 17*k - 2. Let p be n(-3). Is -15\/4 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 36*j**2 - 97*j - 1417. Determine y(-38).\nAnswer: -619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -4*r + 4*u + 2, -480 = -27*u + 123*u for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/24 and 91\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**3\/2 + 93*m**2\/2 - 42*m - 90 = 0 for m.\nAnswer: -1, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/3)*o*o)**(3\/7)\/(o*o**(-6)*o*o\/o**0))\/(o**4\/(o**3*o)*o\/o**4*o\/o**(1\/3)*o) assuming o is positive.\nAnswer: o**(115\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 3*x - 15, 5*u = u - 3*x + 12. Let z be ((-4)\/(-1) - u)*5. Suppose 0 = z*l - 195 + 20. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = -13*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106249 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*10\/35\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 3:58 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 408591221 to the power of 1\/3, to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 26 + -52 + 9\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45290 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15552*v + 15558*v - 90 = 0 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1574676 and 155124?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 5*g + 0*g + (4 + 0 - 3)*(-2*g - 1 + 1) + 19 - 7*g - 19)*(-633*g - 19*g**3 + 633*g).\nAnswer: 247*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, r: 2}. Give prob of sequence ppp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 + 2*n**3 + 2*n**3 + (91 + 33*n - 91 + (3 - 4 + 2)*(1 - 1 + n) + 2*n - 8*n - 3*n)*(4 - 5*n - 2*n**2 + n - 3).\nAnswer: -48*n**3 - 100*n**2 + 25*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201 + -3103?\nAnswer: -3304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/154? (a) -67.5 (b) -6\/7 (c) -1 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**2 - 10*t - 7. Suppose -6*n + 4*n = 8. What is the tens digit of i(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 325890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 1443?\nAnswer: -1445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 5 + q)*((-1 + 1 + 1)*(-q - 3*q + 3*q) + (2 + 3 + 2)*(-3*q + 3*q - q)).\nAnswer: -8*q**2 + 48*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106050 = -103*o - 47*o. What is the greatest common factor of o and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 148, 309, 470, 631, 792, 953?\n\"Answer: 161*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3\/p**(-7)*(p\/p**(2\/5))**(-3\/43))**(-23) assuming p is positive.\nAnswer: p**(-49243\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/(-6) - 8\/24. Suppose -t*l + 5*l - 7 = 0. Let a be (-24)\/(-2)*l\/(28\/(-8)). Let i(z) = 8*z - 5. Let n(o) = -39*o + 24. Determine a*i(y) - 5*n(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 132\/(-18)*(-53466)\/5159\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/(q\/(q**23*q))*q))*q**(2\/5)*q)\/(q\/q**(-1\/22))**39)**27 assuming q is positive.\nAnswer: q**(-42687\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 221583?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -136011443 - -136034763.9998. Let j = k + -23319. Let u = j - 2. What is u rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*g**3 + 4*g - 1871 + 1871 as o + d*g**3 + b*g + n*g**2 and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2903 or -2901?\nAnswer: -2901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**4 + 3*l**4 + 2*l**4 + (14*l + 9 - 9)*(-3*l**3 - 2*l**3 + 16*l**3) + l**4 - l**4 - 2*l**4.\nAnswer: 153*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13300152, -26600300, -39900448?\n\"Answer: -13300148*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/9 - (-5)\/45. Suppose -5*z + 0*v - 93 = 3*v, t = 5*z + 2*v + 92. Which is bigger: -17 or z?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11195 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -486 (base 9) in base 5?\nAnswer: -3102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 13080.\nAnswer: 13080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 227 - 231. Let f be i + (-22)\/(-5) + (-72)\/(-20). Solve 3*m + 5*j + 37 = 0, -f*m + 5 = -5*j - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 74, 321, 892, 1937, 3606?\n\"Answer: 25*p**3 + 12*p**2 + 36*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**4 - 11*q**4 + q**4)*(-5*q - 48*q - 122*q).\nAnswer: 1575*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6202 is divided by 2992?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 c when two letters picked without replacement from {c: 2, v: 3, h: 1, r: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h = 162 - 171 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/(3\/((2\/(-12))\/(58\/(-1044))))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39996 + 145014 = 5*v. Suppose v = h - 6*h - p, 3*h = 3*p - 22194. Round h to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 11 = -5*c, 69 = 2*h - c. Suppose 4*l - h - 58 = 0. What is the derivative of -2*r**2 - 18 + 42*r**2 - l + 0*r**2 wrt r?\nAnswer: 80*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j = 8. Let g(c) = 2204*c**2 + 4*c. Let d be g(j). Suppose -d + 137280 = -2*w. Round w to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*o = -3*k + 27, 5*o + 37 = 3*k. Suppose -v - 3*c = -252, -k*c + 856 + 393 = 5*v. List the prime factors of v.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.311264 from 0.09.\nAnswer: -0.221264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 664*a - 623*a = -246 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + 158 - 29*m**2 - 158 - 2*m.\nAnswer: -27*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhbhbbhb. What is prob of picking 2 b?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*p + 15*p + 23*p - 4*p.\nAnswer: -25*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 at most as big as 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a + 9. Let s be n(-4). Suppose 10 + 0 = s*b. Let d = b - 2. Solve d = -3*k + 9, -k - k - 6 = -4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2076, -2082, -2088, -2094, -2100?\nAnswer: -2106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -505 - -707. Suppose -f = -8*m + 2126. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -2*v + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/(11\/(-26))*32. Suppose 3*p + 4*o - 673 = -84, -4*p + j = -4*o. Is p less than 203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.092339 and -3.\nAnswer: -2.907661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 3*p**2 - 2*p**3 + 5 + 3*p**2 - 7*p. Let d be a(4). What is the first derivative of -1 - d*j - 7 - 1 + j wrt j?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, 89409, -4 in decreasing order.\nAnswer: 89409, 9, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -5*b**5 - 500*b**4 - 4625*b**3 - 11250*b**2 = 0.\nAnswer: -90, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -2*u**4 + 10*u**3 - 19*u**2\/2 + 3*u + 224. Find t such that d(t) = 0.\nAnswer: 1\/4, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -482650198, -482650196, -482650194, -482650192, -482650190, -482650188?\nAnswer: -482650186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2350 in -3, -0.032, -1\/4, -1, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-164)\/8)\/((-3)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 4. Suppose 0 = w + 4*w + 4*z - 528, q*w = 2*z + 330. Is 11 a factor of (-6)\/(-15) - w\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**4\/7 - 11152*n**3\/7 - 55726*n**2\/7 - 89144*n\/7 - 44568\/7 = 0.\nAnswer: -5571, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -208164 (base 10) to base 12.\nAnswer: -a0570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**6\/120 + 44*w**2. Factor q(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7468.4 to the nearest 100.\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**5 + 64752*f**4 - 712506*f**3 + 2785548*f**2 - 4470057*f + 2332260 = 0 for f.\nAnswer: -21595, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425 - 12437 + 3736 = 117*z for z.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 8:19 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**4\/30 + 82*y**3\/15 + 248*y**2 - 7688*y\/15 + 480. Factor n(a).\nAnswer: 2*(a - 1)*(a + 62)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312763.\nAnswer: 11, 28433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3 = a, -3*a + 2*t = -5*a + 2. Let u(y) = -5 - 2 + a + 4*y - 2*y. Let p(f) = -2*f**2 - 16*f - 8. Let n be p(-7). What is u(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 6)*(0 + 1 + 5)*(-2*p + p + 0*p).\nAnswer: 54*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/344 - -3259\/1032. Find the common denominator of k and 17\/195.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13992 and 11289?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 2*x + 2. Let h(z) = 5*z + 1 + 0*z**2 + z**2 + 2. Let c be h(-5). Give v(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 5:07 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(5) + sqrt(5)*1 - (sqrt(5)*2 + -4)**2.\nAnswer: -37 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(7) - sqrt(63)\/sqrt(9)*5))\/((-5*sqrt(180))\/sqrt(5)).\nAnswer: sqrt(2)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -316 - -318. Let r(u) = -21*u**p + 10*u**2 - 2 - 5 + 7. Give r(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/14*(-161)\/184*-8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -312125 divided by -146\nAnswer: 312125\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - 5*a = -13*c + 2, -2*c - 1 = -5*a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 149881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1987299688 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 139 + -138.9. Which is smaller: i or 0.065?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m + 6. Suppose -5*s = 7*h - 3*h - 22, 0 = -2*s - 3*h + 13. Let q be x(s). Let o be -4597 + 1 + q*-2. Round o to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.573 + -78.127. Let k = o + 79.3. Which is the smallest value? (a) k (b) 1 (c) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4550 and 1950?\nAnswer: 13650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20273191?\nAnswer: 20273191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 23 = 4*l - 4*z, -4*z + 16 = -2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**6\/60 - i**5\/10 - 11*i**4\/24 - i**3\/2 - 152*i + 10. Suppose g(w) = 0. Calculate w.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 4:52 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4071252108 rounded to 5 decimal places?\nAnswer: -0.40713","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8581254 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 4*i - 1\/3*i**3 - 39 + 3\/2*i**2. Give g(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 5 + -4)*(2 - -1). Let o(l) = l**2 - l + 1. Let y(n) = n**2 - 5*n + 5. Give s*o(m) - y(m).\nAnswer: 2*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 11. Let r(o) = o**2 - 5*o. Let c be r(1). Sort c, 14, t.\nAnswer: c, t, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*o**5 + 6*o**4 - 22*o**5 + 9*o**5 - 3*o**3 = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 44 = -4*x, 0 = 5*a + 3*x + 46 + 3. Let h = 146 + a. List the prime factors of h.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5427 = -3*h - m, h - 1809 = 8*m. Calculate the greatest common factor of 1407 and h.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxtx when four letters picked without replacement from {e: 1, v: 1, t: 2, x: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 100111111000101111010 (base 2) to base 8\nAnswer: 4770572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 323.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/29)\/((t*t\/(t*t*t**(10\/3))*t)\/t*t))\/(t*t**(-18)\/t*t*t**(13\/2)\/t))**(-7) assuming t is positive.\nAnswer: t**(-16807\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 535 less than 41\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1521 divided by 58013\nAnswer: 1521\/58013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 = -4*x + 11, 4*r = -2*x - 2. Suppose -x = -15*l + 12*l. Put -5, l, -1 in ascending order.\nAnswer: -5, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 958\/5, 20, 5, -3, 0.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 125*q - 843. What is u(9)?\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(539) + -4 + sqrt(539) + -1 + sqrt(539) + sqrt(539)))**2 - (-3*(sqrt(1100) - (sqrt(1100) + -3))*-3)**2.\nAnswer: -280*sqrt(11) + 7920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*b**2*p**5 + 36*b**2*p - 11*b**2 + 2*p**4 + 30*p**2 + 4*p + 1 wrt p?\nAnswer: 440*b**2*p**3 + 24*p**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*g + 4 - 4)*(3 + 4 + 23) - 13*g - 19*g + 37*g)*(-g + 2*g**3 + 4*g - 4*g).\nAnswer: -110*g**4 + 55*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jduiddrjjgiu. Give prob of picking 2 i and 1 j.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - r**4 + 1 + (r**2 - r**2 - r**2)*(0*r**2 - r**2 + 2*r**2) - r**4 - r**4 + 3*r**4)*(3*r - r - 17*r).\nAnswer: 15*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 18*g**3 + 5*g**2 + g + 6. Let d(x) = 55*x**3 + 12*x**2 + 2*x + 16. Determine 3*d(y) - 8*h(y).\nAnswer: 21*y**3 - 4*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/88*0)\/(0 + -1). What is the third biggest value in 2\/17, -3\/11, s?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 58 = 3*s, -s + 436161*r + 30 = 436167*r for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) - ((sqrt(1900) - (sqrt(1900) + -1)) + sqrt(1900) + sqrt(1900) + 1)**2) + 2.\nAnswer: -7602 - 70*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -9*i + 20. Let g = -18 + i. What is the second derivative of -6*n - 19*n**5 + g - 2 + 14*n**5 wrt n?\nAnswer: -100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 - -28. Let r be (4\/2)\/(-2) + -9. Let q = -6 - r. Which is the biggest value? (a) q (b) d (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 3:41 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*s - 2*m, 3*s - 4*m = -1315 + 1286 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-69660)\/42 + 30\/(-21) + 2. Let b = k - -26549\/16. Calculate the common denominator of 1\/20 and b.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**5\/2 + 422529*n**4 - 29755971018*n**3 + 119018391255*n**2 - 178525685529*n\/2 = 0 for n.\nAnswer: 0, 1, 3, 140841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 20, 0*x = 4*t + 4*x + 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11636 + -1040615?\nAnswer: -1052554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 7:37 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 10, -5*z + 5*b - 10 = -0. Let v be (-84)\/9 + z\/(-12). Let p = -1 - v. Calculate the remainder when p is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84*u**2*x**2*y + 278*u**2*x*y**2 - 37*u*y + 37*x**2 - 21*y**2 wrt u?\nAnswer: -168*x**2*y + 556*x*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-4))\/6*(-30)\/3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 10*o**2 - 2*o - 4. Let t be w(-10). Let d be (-2 + t\/6)*3. Let s be d - 0 - (0 + -2). Which is the nearest to 2\/5? (a) 0.4 (b) s (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57130984 to the nearest integer?\nAnswer: 7559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2) + 13\/(-14)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-506)\/(-23))\/(4\/(-2))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 900 plus -19564.97?\nAnswer: -18664.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*0\/(-2))\/((-14)\/(-14)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1324763 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, y: 7}. What is prob of picking 2 y?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 45*w - 52 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34077 + 23927 = 182*r - 2784. Solve 331 = -3*i + r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111220222 (base 3) in base 8?\nAnswer: 23647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3028.55593 rounded to 0 dps?\nAnswer: -3029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1496 - 672\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 2:37 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - y + 196. Give d(-15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j - 107. Let v(b) = 3*b - 71. Give -5*m(g) + 8*v(g).\nAnswer: -g - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-124)\/(-16) - (-2)\/8. Calculate the greatest common divisor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19105 by 5.\nAnswer: 3821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/15)\/(((-52976)\/(-129))\/28)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rew when three letters picked without replacement from wreqeegqew?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -66. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -80? (a) 3 (b) -2 (c) 4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -322 - -348. Solve 17*s + 8 + p = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*z**4 - 615*z**3 - 4345*z**2 - 5100*z.\nAnswer: 5*z*(z - 68)*(z + 5)*(2*z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + p - 724 - 306 = 0, 5*u + 1730 = -p. Is u bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -18 + 7 - (5 + -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 1. Let u be q(5). Let f(s) be the second derivative of -1\/6*s**u + 0 - s**2 + 0*s**3 + 2*s. Find the first derivative of f(v) wrt v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/4 + (-1602)\/(-24). Suppose 3*h = n + h - c, -5*n + 305 = -4*h. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(4\/25)\/k)\/k*k**(-46) assuming k is positive.\nAnswer: k**(-1171\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*q = 94*q - 2760 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 1)\/(2 - 1 - 0). Is 0 + w + (513 - 1) a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-150)\/35 - 4\/(-14). Let t be -30*(2\/s + (-175)\/(-6)). Let d be (-2 + 0 + -498)*t. Round d to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 188 + -8. Suppose b = 9*w - 4*w. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-1*sqrt(270))\/sqrt(9) + (-1*sqrt(1920) - sqrt(1920)))\/(sqrt(30)\/(sqrt(80)*-3)).\nAnswer: 1 + 204*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -6*v - 4. Calculate the highest common factor of v and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1*3\/(-12)*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5 = -15. Let q be 3\/3*(-16)\/t. Solve -6*x = -q*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/9*(-18)\/8. Which is bigger: q or -9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*g + 3 = 0. Let a be (23\/(-5) + 4)\/(1\/(-5)). Suppose -3*l + a*l + g*l = 0. Solve 18 = 2*h - 2*p, l*h + 5*h = -5*p + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -242*g + 77*g - 747*g - 347*g + 177*g to v + c*g and give c.\nAnswer: -1082","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 8*c + 1. Let o be u(-5). Let n = o - -30. Suppose 3*k = -3*r + 171, -5*r + 83 = 2*k - n. What is the highest common factor of k and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((0 - 3)\/(-3)). Suppose 2*n - 4 = -u*n. Let v be 7 - (-2 + 16\/4). Solve -n*x = -3*x - v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, -5, -0.71478, 1?\nAnswer: -0.71478","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.03 - -1.03. Let s = 3 + -8. What is the third biggest value in a, s, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 2*b - 3*b)*(0 + 0 - 2 - 1 - 1 + 1 + 0 + 2 + 0 + 1 - 6 + 4 + (-1 + 1 - 2)*(-2 + 4 + 0) + 4 - 4 + 2 - 1 - 2 + 5 + 3 - 3 - 1)*(0*b - 4*b + 2*b).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 37*v**7\/10 - 241*v**4\/6 + 514*v**2 - 2. Find the second derivative of d(p) wrt p.\nAnswer: 9324*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 15*u + 41. Let l be c(-17). Suppose -l*w + 4 = -17. Suppose -5*y = 3*h - 5279, -w*h + 4*y + 2161 = -3136. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138081 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240270 = -128*g - 488553 + 243931 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 3:05 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -582*f = -583*f + 3*h + 6, -7*f + 4*h = 26 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrrfpxrrxrrrarrrarrr. What is prob of picking 1 f and 1 p?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 6 (c) 2 (d) 0.3 (e) -1\/7 (f) 0.0147\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-333)\/222)\/(1*(-18)\/16). Let 8*d**2 + 4\/3*d**3 - a*d**4 - 16\/3*d - 32\/3 = 0. Calculate d.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventy-one fifths of a gram?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 166, 1\/8, 0.05, 5, 58 in increasing order.\nAnswer: 0.05, 1\/8, 0.2, 5, 58, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*v + 18 = 46*v. What is the second derivative of 6*n - 54*n - 22*n**v + 47*n + 4 wrt n?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 - -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - o + 0*o)*(2 - 1 - 2) - 4*o + o + 0*o + (9*o + 10*o - 7*o)*(-2 - 1 + 2)*(0 - 2 + 4)*(-1 - 7 + 5)*(-2 - 2 + 5).\nAnswer: 70*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 150799?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + o + 114. Calculate the remainder when (-2)\/(-5) - (-4)\/(-35) - (-24432)\/336 is divided by o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 91?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/39 and 151\/36.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 11*x - 58. Let l be b(21). What is the greatest common factor of l and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -9*p**3 + 1424*p**2 - 323*p + 1096. Calculate k(158).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 3*d + 5*g + 198, 0 = 4*d - 3*g - 253. Suppose -7*b + 51 = -d. Does 22 divide (-63)\/(-168) - (-346)\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + g + 798*g**2 - g - 803*g**2 - g - g.\nAnswer: -5*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**2 + 2*g. Suppose -6*m + 5*m = -2. Let i(d) = 2*d**m - d**2 - 2*d**2 + 2*d**2 - d. Calculate 2*f(j) + 5*i(j).\nAnswer: -j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*j**3 - 8 + 8 + ((4*j + 3*j - 3*j)*(-3*j + 2*j + 3*j) + 4*j**2 + 4*j**2 - 4*j**2)*(-j + 5*j - 2*j).\nAnswer: 31*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 422 - 60 - 8. Let t(k) = -2*k**2. What is t(c(g))?\nAnswer: -2*g**2 - 1416*g - 250632","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 0. Suppose 1273 = 3*v - 1121. Let r be (v\/(-270) - -3)\/(2\/10). Which is the nearest to q? (a) -2\/5 (b) r (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/132*(-2)\/2.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 4*f**2 + f - 3. Let c be y(4). Suppose -x + 18 = -c. Let w(i) = -i + 12. What is the remainder when x is divided by w(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2584 and 32096.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 36*v**3 - 15*v**2 + 2*v. Let s be n(6). Suppose -2*z + s = -5188. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/4 + (-2)\/4. Let o = 9 + k. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 5*k**4\/12 + 340*k**3\/3 + 11560*k**2 + 2*k + 7. Factor u(q).\nAnswer: 5*(q + 68)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 253 (base 6) to base 13.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -0.2, 0.2, 531, 0.11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138288?\nAnswer: 2, 3, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - m - 30 = 0, -4*m + 2 = -5*k + 45. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 - 2*u**5 + u**5 + (2*u**3 - 5*u**3 + u**3)*(-7*u**2 + 8*u**2 + 33*u**2) + 4 - 2*u**5 - 4 + (-2*u**4 + 0*u + 0*u)*(0*u - u - u).\nAnswer: -68*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/23244 and -71\/117.\nAnswer: 69732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 119 = 122 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 30\/161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203796 is divided by 10726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*p + 154 = 5*w - 128*p, 0 = w + 3*p - 36. What is the greatest common factor of w and 5010?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3448 = 15*o - 12*o + 4*q, 1140 = o - q. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398412100 rounded to the nearest 1000000?\nAnswer: 398000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*x = -53*x + 64. Let a be (1 - 2) + x - (-12 - -16). Solve -39 = -7*b - a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 7*t**6\/30 - t**5\/5 - t**4\/12 + t**3 - 2*t - 18. Find the third derivative of f(j) wrt j.\nAnswer: 168*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/13 or -1.35?\nAnswer: -1.35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + 39*a + 27. Let t be l(20). Differentiate t - 62*u + 13 - 16 with respect to u.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3707477927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, -4, 3\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**2 - 6*p - 7. Let l(v) be the second derivative of 0 + 3\/2*v**2 + 1\/2*v**3 - 1\/12*v**4 + 3*v. Calculate -7*l(d) - 3*q(d).\nAnswer: -2*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 4*k**2 - 4*k - 1. Let j be n(4). Let u = j - -25. Solve 3 = -5*c + 3*w - u, -5*c = 3*w - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 19550912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -66, -125, -198, -291, -410?\n\"Answer: -f**3 - f**2 - 49*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/38 + 1 + -1. Let h = 106 + -103. Suppose 7 = -3*g - d, h*g - 6*d = -d + 17. Is w less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 180*l - 10644. Let u(q) = 106*q - 6386. Determine -10*g(j) + 17*u(j).\nAnswer: 2*j - 2122","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -146.06 + 144. Let o = j + 0.06. Suppose -3*y + 1 = -x - 15, -5*x = -3*y + 20. What is the second smallest value in o, -4, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/1410 - -313\/470. Let v = -10 + 14. Let r = -6 + v. What is the closest to u in 5, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 50\/9, 3, 0.3, 520?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2298 - 137*c + 2298)*(-1 + 1 - 1)*(1 + 1 - 3)*(2*c + 3*c - 4*c).\nAnswer: -137*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 244 + -1704\/7. Let p = -0.08 - 0.22. What is the biggest value in p, s, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*c - 3. Let n(p) = -p + 20. Let u be n(-5). Let r = u - 19. Solve -i - c = -r for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.85 - 3.75. Which is the biggest value? (a) 5\/4 (b) j (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 + 5*u - 52. Let h(v) = -v**2 + 1. Let n(w) = -a(w) + 3*h(w). Let g(m) be the first derivative of n(m). Give g(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 2003.\nAnswer: 1\/2003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 15.12, 0.71, 2\/9, 1 in decreasing order.\nAnswer: 15.12, 4, 1, 0.71, 2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2 (b) 5 (c) 446649\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 105437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14631017 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -26201, -51990, -77779, -103568?\n\"Answer: -25789*c - 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 3*y - 8 = 0. Suppose a = -7*d + y*d - 23, 2*a + 16 = -4*d. Let 2\/9*l**a + 2\/9*l**3 + 0 + 0*l = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -12*a + 5. Let d(n) = 11*n - 4. Determine -4*d(t) - 3*f(t).\nAnswer: -8*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.1 (c) 0 (d) -434 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 4*y + 5. Let w be s(5). Let i = w - 28. What is the remainder when i is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*c - 8*c - 14357. List the prime factors of c.\nAnswer: 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a + 3*a - 4*a)*(-4 + 8 + 4)*(0 + 4 - 3) + (-4135 + 4135 + 43*a)*(3 + 0 - 1) to the form k + s*a and give s.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**0*b*b)\/b))**(1\/26)*(b**(-5)\/b)\/(b\/(b\/(b\/b**(-1\/6)))) assuming b is positive.\nAnswer: b**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2480 and 620.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 1:34 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125 + -79. Suppose 3*t = -4*y - 3, 3*y - 5*t + 12 - r = 0. Put 2, 4, y in descending order.\nAnswer: 4, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1\/6)*p**(2\/5))**(15\/4) assuming p is positive.\nAnswer: p**(47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -42. Suppose -4*l - 19 = p*f, -8 = 2*f - 10. Let y(t) = 10*t**3 + 6*t**2 - 2*t - 5. Let k(s) = s**3 + s**2 - 1. Calculate l*k(q) + y(q).\nAnswer: 4*q**3 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10084627.\nAnswer: 7, 71, 103, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -13. Let k be (c\/4)\/((-7)\/14). Suppose -n - 1031 = -k*n + 3*m, -4*m = 2*n - 1038. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 36 = -8*h. Calculate the remainder when h is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.21 + 0.26. Let j = 1 - 1.06. Let k = -3.94 + j. What is the closest to 2\/7 in k, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16540, 16549, 16558, 16567, 16576, 16585?\n\"Answer: 9*c + 16531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.3 + -3.34. Let q be 3\/14*(-8)\/12. What is the second smallest value in w, 0.2, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 4 - 7 + 5 + 2*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 22*y**2 - y. Let m = 6 - 7. Is n(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (15 + -20) - -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0784 rounded to 3 dps?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**3 + 4*q + q**2 + 0 + 2 - 2*q**3 + 2. Let h be d(7). Is (h\/(-24))\/(2\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.828 rounded to one decimal place?\nAnswer: -10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -536410\nAnswer: 9\/536410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 896.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 5222510066241 and -4.\nAnswer: 5222510066237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -109\/120*f**6 + 0*f**3 + 44*f**2 - 3\/20*f**5 + 0*f - 1\/8*f**4 + 0. Find the third derivative of j(b) wrt b.\nAnswer: -654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (4 + -8) - (-4 - -4) - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13028 + 13028 + 23*t.\nAnswer: 23*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3 - (5\/1 - 62)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 0*w - 2*w + 16, 5*w - 22 = k. Let q(c) = -165 + 316 - 150. Let y(u) = -u - 1. Determine k*q(a) + y(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*v + 4, 2*g = 3*v - g - 6. Suppose -w = 2*d + 1, -4*w = 5*d - v*w. Calculate the remainder when d is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -493, -1907, -4267, -7567, -11801, -16963?\n\"Answer: g**3 - 479*g**2 + 16*g - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 2*y - 32, 23*y = 5*s + 19*y + 52 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0051926 rounded to 4 dps?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5114, 10316, 15522, 20732?\nAnswer: 25946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 - 2*u + 2. Give c(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47023 to the power of 1\/2, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*5*(-5)\/(-50)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94cd (base 15) to base 10.\nAnswer: -31468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 332230?\nAnswer: -332231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -12) + (-2 - (-1 - 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaataatttaaatatt. What is prob of sequence aat?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 13*h**3 - 2*h**2 + 5. Let p = 5 - 2. Let g(y) = -7*y**3 + y**2 - 3. Let a(q) = p*v(q) + 5*g(q). What is the third derivative of a(z) wrt z?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4021 and 240?\nAnswer: 965040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 610 and 270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*8 - (5 + -3). Solve 0 = 5*c - 1 - m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2094 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -26, -50, -66, -68, -50, -6, 70, 184?\n\"Answer: r**3 - 2*r**2 - 25*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (34 - -269) + (-5 - -2 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-seven quarters of a millisecond?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -2*i + 7, -3*y = -6*y - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*-2 + -1)**2 + 5.\nAnswer: 28*sqrt(13) + 2554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 34, 1, 0 in decreasing order.\nAnswer: 34, 2, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*x + 391*x**3 - 1 + 2*x**4 + 382*x**3 - 773*x**3 - 49*x**2 to c*x + d*x**2 + a*x**3 + y + h*x**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1233.11988 to the nearest ten.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-332)\/560 + (-344)\/(-301) and -2*2*327\/(-168).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -3 + 6 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - (1 - 2)*3. Calculate the greatest common factor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68364*a**3*h + a**3 - 327*a**2 - 21*a with respect to h.\nAnswer: -68364*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v - 138772 + 138052 = 0 for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 0*r + 1\/4*r**4 + 0 + r**2 + 1\/60*r**5 + r**3. What is the units digit of k(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6257 > -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3071 and 1702.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2913 - -7333. Round b to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 202790 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*p - 26 = 0, j + j - 2*p + 8 = 0. Let x(h) = -4*h**2 - 5*h - 4. Let g(s) = -5*s**2 - 6*s - 4. Let f(z) = j*x(z) + 5*g(z). What is f(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 89*y - 362*y - 85*y = 30438 for y.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.09 (b) 1.8 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5671922?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/6 + -1 - 15\/63. Let w = -154.06 + 150. Let b = -0.06 - w. What is the smallest value in 0.11, n, b?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 673671.2 millilitres in litres?\nAnswer: 673.6712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15626224 divided by 1953278\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = w - 158 + 137, -11*r + 53 = 4*w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 4*m**2 + 5. Let c be k(-4). Let v be (c\/(-50)*-12)\/((-62)\/10). Is v < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60 (base 7) to base 5\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.16? (a) 0 (b) 0.1 (c) -4807\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1510*g = 5*c + 1514*g + 2, -4*g = -4*c + 20 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**4 - 144*y**3 + 2872*y**2 - 9456*y + 6732 = 0. Calculate y.\nAnswer: -51, 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/3 - 368416*l + 54161954\/3 = 0.\nAnswer: -552673, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80593?\nAnswer: 83, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czzzzczzzzczzz. Give prob of picking 2 c.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/3 and -53\/124.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, t: 3, o: 1, z: 1, h: 5, e: 1}. Give prob of picking 2 h, 1 o, and 1 t.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -628 - -610. Let y(j) = -j**2 - 20*j - 41. Determine y(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24.7 + 36.8. Let t = a - 18.4. What is t rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1735 and 176155.\nAnswer: 177890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, g: 9}. Give prob of sequence dg.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8295\/(-17775) - (-2)\/4?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o - 2355*o**3 + 1 - 12*o.\nAnswer: -2355*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -5. Suppose 9 = p - d*y - 3*y, y - 11 = -3*p. Suppose -3*c = -5*c - p. Is c smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**3\/5 - 4764*u**2\/5 + 275700*u - 18012500 = 0. Calculate u.\nAnswer: -1441, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 6*a**2 + 2*a + 5. Let z be f(-6). Let h = 49 + z. Calculate the greatest common divisor of 28 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 96564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -26*j - 77*j**2 + 79*j**2 - 105*j - 33*j + 3362 = 0?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4690, -4694, -4700, -4708, -4718, -4730?\n\"Answer: -z**2 - z - 4688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**3 + 3*i**2 + 4*i + 2. Let u be f(-2). Let a = -4 - u. Suppose -j + 2 = -a. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67*q + 85*q + 12*q + 1504 - 458 + 104*q wrt q.\nAnswer: 268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19053539 and 11387.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 66752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 364089\/68 + 4 - 6\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3346564?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-30)\/(-5))*(-2)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8254360?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 91825278 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -774024024 + 5?\nAnswer: -774024018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.5 - -19. Let y = s + -6. Which is the nearest to 1\/4? (a) 2 (b) 2\/11 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lt when two letters picked without replacement from {r: 3, q: 3, g: 2, t: 2, d: 2, l: 6}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92278?\nAnswer: 2, 29, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -300*b**2 + 280*b - 2*b**3 - 560*b + 49*b**2 + 279*b to q + i*b**2 + p*b + d*b**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 - 7*f + 3. What is y(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + (sqrt(200) + -1 + -3 - (0 + -5*sqrt(200) - sqrt(200) - sqrt(200))))**2.\nAnswer: -480*sqrt(2) + 12812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3503, 6970, 10451, 13952, 17479, 21038?\n\"Answer: d**3 + d**2 + 3457*d + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/5 - 28*l**2\/5 - 7*l\/5 + 18\/5.\nAnswer: -(l + 1)*(l + 9)*(3*l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 2:18 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128206067 by 4.\nAnswer: 128206067\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2215777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -9)\/(21 - 7). Put 0, -0.08, -0.3, r in decreasing order.\nAnswer: r, 0, -0.08, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-14))\/(148\/(-259))*160\/(-24).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2. Let l(w) = -1. Let q(r) = 4*r + 9. Let h(k) = 18*l(k) + 2*q(k). Determine m(h(g)).\nAnswer: -128*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6484 divide 457656103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011012112200 (base 3) in base 2?\nAnswer: 10010101111101000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -400.51348 + 0.07.\nAnswer: -400.44348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 673363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eohdhoodddkkod. What is prob of picking 2 o?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -126199873, -126199872, -126199871?\n\"Answer: t - 126199874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (5 + -2 + 13 + (-31 - -12)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 5 - (-1 + 1)) + -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*r + 62*r - 28*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4456068, -4456066, -4456064, -4456062, -4456060?\nAnswer: -4456058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11464 - 15574?\nAnswer: -27260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*n - 2*o, -6*n + 23 = -10*n + 17*n + 4*o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8 - -10)*(-1)\/(-1). Solve 0 = -5*p + 4*d + y, p - 4*d - 1 = -3*d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 40, -5\/771, 4?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 13 - 0) + (5 - 2 - -11).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -622438 * 0.9\nAnswer: -560194.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4394460968?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -9695525050.\nAnswer: -9695525050.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20024.\nAnswer: 2, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 293 = 739. Suppose 3*m - i = 127. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32001098 minus -126628?\nAnswer: -31874470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 490207796 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/9 - 452068*g\/9 + 25545684578\/9 = 0. Calculate g.\nAnswer: 113017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 74, 0.1, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (113\/(148369\/202))\/((-636)\/(-78))?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**7\/2520 + a**5\/10 + 4*a**2. Let k(o) be the third derivative of b(o). Let y(g) = 2*g. Determine y(k(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -18 (c) -2 (d) -0.1 (e) -0.032\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s - 23*s - 4*f = -23, -2*s = 4*f - 18 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1807828 and -390.\nAnswer: 1807438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, -110, -375, -736, -1187, -1722, -2335, -3020?\nAnswer: -3771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**(-2\/5)*v)**(3\/2)*(v*v**(1\/4)*v)**(15\/7))**(-13\/4))**(-36) assuming v is positive.\nAnswer: v**(142857\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -343923*g**2*x**2 + 22*g**2 - 2*g*x**2 + 65*x**2 + 660646 wrt x?\nAnswer: -687846*g**2*x - 4*g*x + 130*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(-4)\/(-4) + 2. Let r(c) = -6*c**2. Let p be r(g). Is 8 a factor of (-1)\/(-3) + (-142)\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l - 4*l - 5*l**4 + 6*l**4 - 2*l**2 + 0 + 7 to i*l**3 + g*l**2 + h + s*l**4 + w*l and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(343)) - (-2 + (sqrt(343) - -2*sqrt(343)) + sqrt(343) + sqrt(343) - sqrt(343)))**2.\nAnswer: -224*sqrt(7) + 21956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 427352 times 71?\nAnswer: 30341992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.2253 + -844.\nAnswer: -849.2253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9977618 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -1 (c) -2\/9 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 881499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from fffssfs?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, q: 3, m: 2, k: 2, x: 2, l: 3}. What is prob of sequence xxmm?\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - t + 4*t + t + 2*t - 2*t - 2*t + 0*t + t - t + 3*t - t - 1 - 2*t + 1 + (0*t + 4*t - 2*t)*(0 + 1 - 3) - 4*t + 2*t + 0*t)*(1 - 2*t - 1).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229 + 12*i + 501 - 198 - 35*i - 181.\nAnswer: -23*i - 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s - 4. Let o(r) = -4*r - 5. What is -5*o(j) + 6*w(j)?\nAnswer: -4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -8 + -34 + 35.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f - 5 - 2*f - f + 6*f. Let i(a) = -15*a + 9. Let t(x) = -4*i(x) - 7*y(x). Suppose 0*m + 5 = 5*m. Determine t(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a millennium in decades?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -0.046 (b) 16 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + (sqrt(1573) - (-1*sqrt(1573) + 2)) + sqrt(1573) + -3)*-6)**2.\nAnswer: -190080*sqrt(13) + 8168832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 6*t + 5. Let i be x(20). Let y = i - -471. Is 41 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.59 - -0.49. Let c = -0.2 - -0.1. What is the closest to g in -2\/3, 2\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/11 (b) -1 (c) 2\/7 (d) 2\/13 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**4\/24 - y**2\/2 + y. Let p(x) be the first derivative of s(x). Let j(r) = -r. Calculate j(p(b)).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 8. Let u = -1 + 4. Suppose u*d = -d. Let c(y) = y. Let o be c(d). What is l(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 5544072\nAnswer: 33264432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -528.41824?\nAnswer: -528.71824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608755339?\nAnswer: 31, 37, 269, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2490 = -5*t + c, -5*t = -3*t - 4*c - 996. Suppose 2*b - 5*b + t = 0. List the prime factors of b.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**6\/120 + 5*w**4\/24 - 3*w**3 - 12*w**2. Let d(q) be the first derivative of h(q). What is the derivative of d(x) wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 8*a**2 + 4*a + 2. Suppose 1348 = -4*p + 292. Let n be (-19)\/(-2) - (-12)\/p*11. Give j(n).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + -4 + 0)*-229. Suppose 0 = -4*b + f - 49. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -58*i - 245. Determine z(-7).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*u + 48, -u = -5*v - 0*u - 154. Find the common denominator of -65\/4 and (2\/(-4))\/(v\/9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -2, -2\/7, 1\/2, 12, -636?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 1 + 0)*(-d - d + 3*d) + d - 1091 - 721 + 225)*(4*d - d - 5*d) as v*d**2 + s*d + x and give s.\nAnswer: 3174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, a: 13, h: 4}. What is prob of sequence ah?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-6)*c)\/c)\/c**(-1)*(c\/(c*c\/(c*c**0)*c))**(-40))**22 assuming c is positive.\nAnswer: c**770","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17229 + 29198. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4727060 - 2675800. Suppose 1848740 = m - s. Round m to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*b + 34. Suppose -2*f = -4*f. Suppose f = 2*x - 34 - 10. What is the remainder when x is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5116930 and 15925.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2 + n + 5*n - 4*n. Suppose -c + 29 = 6. Let f = 26 - c. What is d(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 620 and 812560995.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 161 - 29. Calculate the smallest common multiple of 18\/(-81) - 148\/(-18) and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46649 is divided by 933?\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 1815?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -354\/12605?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/(-280)*8*1\/(-3).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*p**2 + 34*p**2 + 116*p**2)*(p**3 - p + p) + 2*p**4 - 2*p**4 - p**5 + (2*p**4 - 4*p**4 + 0*p**4)*(2*p + 3 - 3).\nAnswer: 157*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/((4675\/(-102))\/(-55)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/(-240) + (-4)\/(-10))*12. Let q(z) = 2*z - 1. Let w(d) = -2*d. Determine p*w(y) + 5*q(y).\nAnswer: 2*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 27. What is the common denominator of -77\/2 and 1\/(-3) + t\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ackcza. Give prob of picking 2 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 78. Suppose -8*h + i = -45. 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 ((-30)\/20)\/(1*3)*-3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 11) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-2\/93)*u**(-1\/46)*((u*u**17)\/u)**(-2\/139) assuming u is positive.\nAnswer: u**(449051\/594642)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-6) + (-28)\/12. Suppose 5*h = 6*s, -s - 4*h = -6*s. Suppose 0 + 1 = p. What is the third smallest value in i, s, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/9)\/p*p**0 assuming p is positive.\nAnswer: p**(-11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 32*d**2 - 52*d + 55. Let w be q(1). Solve -2*p = 5*p + w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**2 + 15*i. Let y(v) = -12*v + v**2 + 5*v + v**2. Let t(z) = 4*c(z) + 10*y(z). What is the second derivative of t(l) wrt l?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = l + 567. Factor 2*j**5 - 49 - 2*j**4 - 32 + l.\nAnswer: 2*j**4*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-480)\/960 - (3 + 1418\/(-220) - -3)?\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-485)\/550 - 6\/(-33). Let s = g + 8\/15. Let u = -0.039 + 0.119. Which is the second smallest value? (a) -0.5 (b) u (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) - 4*sqrt(162) - (2 + sqrt(18))**2.\nAnswer: -39*sqrt(2) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - w**2 + w. Let s = 64 - 38. Let l(r) = 7*r**3 - 6*r**2 + s*r**2 - 7*r - 12*r**2. What is -6*f(c) - l(c)?\nAnswer: -c**3 - 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s - 64 = 15*s. Suppose -z - 3 = -s. Let f = 8 + -2. Which is greater: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a day in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 105291590 to the power of 1\/3, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7526*j**5 + 5738*j**2 wrt j.\nAnswer: -451560*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + 25 + 12 + -37 + -37.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p - 4*p + p)*(8*p + 6*p - 3*p) + p**2 + p**2 - 3*p**2 to the form s*p**2 + l*p + i and give s.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, -0.05, 3\/2, -2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5473 divided by -284?\nAnswer: 5473\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*((sqrt(209) - -2*sqrt(209)) + sqrt(209)))\/(sqrt(396)*-1 + sqrt(396) + sqrt(396) - (sqrt(11)*2*-3 + sqrt(11))).\nAnswer: -96*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n. Let l(d) = 170*d**2 - 3. Determine l(h(x)).\nAnswer: 170*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 7*v**2 + v - 38*v**2. Let z(r) = -r**2. Determine g(z(x)).\nAnswer: -31*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 4*i**2 - 4*i. Suppose -9*s + 11*s = 44. Let h be (-1)\/(s\/(-8) - -3). Does 5 divide p(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5135 + -5132. Sort -1, -10, 4, -31, h in decreasing order.\nAnswer: 4, h, -1, -10, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242617 is divided by 720?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + 1. Let n(h) = -h**3 + 3. Let u be n(0). Suppose -u*j - 1 = -j + s, -1 = -4*j - 3*s. What is the biggest value in -4, l, j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 8 + 2*b - b - 3*b - 2. Suppose 2*o = -0*o + 10. Suppose 5*a - 6 = -5*c - 1, 5*c - 55 = o*a. Determine w(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*g**2 - 101*g**2 + 29*g**2 + 4 as z*g + k + f*g**2 and give f.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300 (base 4) to base 5.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -34136673 (base 8) to base 16\nAnswer: -70bdbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21270480 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 14\/6 + 40\/24. What is the remainder when 127 is divided by t\/(-2)*836\/(-55)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/379 - 6452\/3411. Calculate the common denominator of 7\/5 and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 58600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t - 4*t + 3*t)*(3 - 2 - 3)*(3 - 3 + 1)*(-5 + 1 + 2 + (1 - 2 - 3)*(3 + 1 - 5)) to the form d + r*t and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 38 + 18 - 4 + y**2.\nAnswer: y**2 - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 i when three letters picked without replacement from {v: 2, p: 1, i: 1, a: 2, x: 5, y: 5}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9b8 + 13d3d?\nAnswer: 13385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 31 = 2*d - 52, -4*d - 4*v = -48. Solve 36 = -9*c - d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a meter in millimeters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.8 + -4.1. Which is the nearest to -0.3? (a) p (b) -11 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - q. Let w(u) = -4*u**3 + 17*u - 2. Determine -2*v(h) - w(h).\nAnswer: 2*h**3 - 15*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -358, -356, -354, -352?\n\"Answer: 2*k - 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (137431434\/(-710) - (-2)\/5)\/(2\/8). What is m rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1856 and 12734.97.\nAnswer: 14590.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, s: 2, e: 2}. What is prob of sequence se?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000044416 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*z - 50, -3*q - z - 3*z = -29. Suppose 0 = -2*f - u + 6*u - 16, 3*f = -4*u + 22. Solve f*h = 5*h - q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32100, -31809, -31518, -31227?\n\"Answer: 291*o - 32391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84150*o**2 - 84150*o**2 + 229062*o**3 - 229063*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 136 - 431. Let m = i + 518. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**5\/12 + 7*h**4\/12 + 55*h**3\/6 + 89*h**2. What are the prime factors of j(-4)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 6:17 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204751 + 102259 + 102492 + u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*m + 98 = 0, 3*m + 51 = -i + 2*i. Suppose 0 = h + h - i. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 56316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1208 - -532)*102\/10. Is y > 17747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + -21711?\nAnswer: -21719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 105*y**2 + 91*y - 186. Determine j(2).\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 3956?\nAnswer: 59340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 403 + 48?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2. Let r(f) be the second derivative of -2*f + 2\/3*f**3 + 0 + 0*f**2. What is s(r(n))?\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3 = 0, 2*t = 6*t - 2*d - 38. Let h(u) = 3*u**2 + 5*u + 13. Let x(o) = 5*o**2 + 10*o + 26. Let n(z) = 7*h(z) - 4*x(z). Is n(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 - 45 - (-14 + 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 6 - 2. Suppose l*j = 3*k - 28 + 5, -k + 3*j + 11 = 0. Let s(y) = -y**2 + 4*y + 2. Let b be s(4). Sort b, 0, k.\nAnswer: 0, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8758879*j**2 + 17576429*j?\nAnswer: 17517758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, -70, -216, -492, -940, -1602, -2520, -3736?\n\"Answer: -7*p**3 - 2*p**2 - 3*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*k - 124 = 17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(4\/31)\/(b**3*b**(-1\/13))*(b*b**(-9))\/(((b\/b**(3\/7))\/b*b)\/b)*b\/(b**4\/b)*b**(2\/13) assuming b is positive.\nAnswer: b**(-34449\/2821)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/5754 and 35\/2212002?\nAnswer: 15484014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2111 - 2?\nAnswer: 2104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2861 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1899380597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9708 + 9707.9. What is the second smallest value in -6\/5, -0.3, p, -0.5, 108?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/2)\/((-201)\/201).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -190717.64 - -190734.640038. Let w = n + -17. Round w to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 4*p**2 + p - 1. Let h be (0 - 1)*(0 - 2). Suppose d = -4*m + 15, 0 = -2*m + 3*m + h*d - 9. What is g(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 - 28*v - 100. Let y be x(-3). Let r(m) be the second derivative of -1\/3*m**4 - 1\/2*m**y + 0 - 4*m + 1\/6*m**3. What is r(2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -7022.2125.\nAnswer: 2808.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1132081 is divided by 257?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12, 49, 110, 195?\n\"Answer: 12*i**2 + i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/5*(-5)\/10. Let u = 1.3026 + -0.3026. What is the closest to 1 in -1, c, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-6)*(-5)\/(-10) + 2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 - 53. Let n be ((-8)\/5)\/(1\/5). Let j = n + l. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggbbgb. Give prob of sequence bbgg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - i - 409 = -5*q, 5*i - 3*q - 659 = 0. Suppose 0 = -2*y + i + 3. What are the prime factors of y?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26243 - -28417. What is the remainder when n is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 f when three letters picked without replacement from rfffrmfffffmfffmff.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 271884566 divided by -2892389\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(99) + 4))**2*3.\nAnswer: 1152*sqrt(11) + 5520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 425 and -0.6264.\nAnswer: -266.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26040 - -26054. Sort 5, y, 34, 3 in increasing order.\nAnswer: 3, 5, y, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91337833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367854 is divided by 183695?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w - 36. Let k(j) = -j + 35. Let l(u) = 2*d(u) + 3*k(u). What is the tens digit of l(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 125\/11 (b) -4 (c) 1 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 5) to base 8\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 12*l**3 - 3*l**2 + 1. Let b be t(1). Let q = 4651 - 4648. Solve -3*k + q*m = 18, 5*k - 2*m + b = -8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6880, -13763, -20646?\nAnswer: -27529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbgn when four letters picked without replacement from {g: 2, b: 3, n: 10}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.97 + -0.03. Let u = -425 + 412.88. Let z = -12 - u. Which is greater: y or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 11 + -11 + (-10 - -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - 3*f**2 + 2*f**2)*((0 - 2*f + 0)*(4 + 1 - 3) + 0*f - 2*f + 4*f + (2 - 3 + 0)*(-3*f - 2*f + 6*f))*(-46 + 20 - 43).\nAnswer: -414*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 (base 7) in base 12?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10001100010 (base 2) to base 7\nAnswer: 3162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.0597, 7, 1, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -220196*m**2 + 220172*m + 24.\nAnswer: -4*(m - 1)*(55049*m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -14. Suppose -3*j + t = j - 93, j = 4*t + 42. Let a(d) = -d**2 + 25*d - 51. What is the remainder when a(j) is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*p - 0. Let f = -1\/742 + 187\/1113. Which is the third smallest value? (a) 3\/4 (b) f (c) p (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*x + 13. Let w = 15 - 14.895. Let p = 0.005 - w. Which is the smallest value? (a) 2\/11 (b) p (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3350 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q + 29. Suppose -5*l - 5 = -4*r, -3*r - 4*l = 2 + 2. Calculate the remainder when v(r) is divided by ((-32)\/(-20))\/(2\/20).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 125 + 2*k**4 - 3*k + 0*k**4 - 128 + (-2*k - k**2 + 2*k)*(2 + 3*k**2 - 2) as l*k**3 + o*k**4 + v*k**2 + n + t*k and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9146 + -795692\/87. Let y = z + -331\/609. Let c be (-9)\/(-6) - (1 - -3). Put y, c, 1\/4 in ascending order.\nAnswer: c, y, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43740959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -239, -490, -839, -1286, -1831?\nAnswer: -2474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 326, 649, 972, 1295?\n\"Answer: 323*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thotqtqoot. Give prob of picking 1 o and 2 q.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -155 (b) 132.6 (c) -29 (d) 0 (e) -4 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6416097*i**2 + 2191213*i.\nAnswer: -12832194","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*o + 40, 4*a - 24 = -0*o - 5*o. Let v(x) = x**3 - 8*x**2 - 3*x + 4. What is v(o)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.7 + -7.4. Let w = -3.6 - v. Which is the nearest to w? (a) -4 (b) 4 (c) -2.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**5\/60 - 7*y**4\/24 + 7*y**3\/6 - 3*y**2. Let u be o(6). Let d be u*(1 + 0)*1. Solve -2*n + 2*f - f = d, 2*n = 2*f - 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2725*u = 2727*u - 8. Solve -y - 12*q = -9*q + 10, 5*y + u*q + 6 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/20)\/(-3))\/(13\/234)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 40*j + 16920 = -382*j - 12*j for j.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -269 - -479. Suppose -3*y + 4*s + 652 = 0, h = 3*y - 2*y - 5*s. Suppose 0*f - 4*f = -y. What are the prime factors of f?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1105 + -1103.7. What is the second smallest value in b, 0.5, 5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 21324 = -j - 4*j, -42583 = -2*z - 3*j. Suppose -32*v + z = -13*v. List the prime factors of v.\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.014, -4, -58.1?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - 6)\/(5 - (-138)\/(-27)). Solve -9*u - s = 18*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 464*i. Let c(a) = -38*a - 31*a - 40*a + 155*a - 30*a. Determine c(b(p)).\nAnswer: 7424*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24268, -48527, -72784, -97039, -121292, -145543?\n\"Answer: z**2 - 24262*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 19*y**2 + 20*y + 15. Suppose 155*n - 235 = 1116 + 1749. Give h(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17.7003 and -2?\nAnswer: 35.4006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/3)*l)\/l)\/l*l*l*l*l**(-18) assuming l is positive.\nAnswer: l**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 21\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 + 5*r**2 + 4*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 9*t**3 - 4*t**2 + 12*t - 3. What is the lowest common multiple of c(2) and 121?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**4\/q)\/q)\/q*q**(-2\/19))**(-1\/3)*((q\/q**10)\/((q*q*q**(2\/13)\/q)\/q))**(2\/7) assuming q is positive.\nAnswer: q**(-802\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 736 - 432. Let h be (3120\/25)\/8 - 4\/(-10). What is the highest common divisor of h and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -2. Let a be b - (1 - 0\/(-1)). What is the second derivative of 2*p**2 + 2*p + 0*p + 0*p**a wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/(-70))\/(-12 - (-496)\/(-32))?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22515693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3118\/7 - -1324\/3. Let v = 91\/114 - 12\/19. What is the common denominator of v and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 32*x + 416. Is 0 - 12\/(-32) - 165706\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 758 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-8)\/r*r*r**6)\/((r**1*r*r)\/r*r*r*r*r**(-16)*r*r*r) assuming r is positive.\nAnswer: r**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 2*z**2 - 2*z + 3. Let d be x(0). Let f(a) = -17*a**3 + d*a**3 + 2*a**3 + 13*a**3. Let t(i) = 2*i**2 + i. Determine -2*f(g) - t(g).\nAnswer: -2*g**3 - 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -301*r + 20208 + 5076 for r.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 474 and 969115278.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1111521, 1111810, 1112099, 1112388, 1112677, 1112966?\n\"Answer: 289*u + 1111232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 558, 1106, 1654?\n\"Answer: 548*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 = 115158\/2255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114 + -11?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/56 and 3336\/480 - (2 + -1).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 71*r + 563. What is p(-71)?\nAnswer: 563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -7 + 3*h - 5\/3*h**3 - 1\/4*h**4 - 1\/2*h**2. Calculate y(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 - 20*y + 41*y - 19*y + (25*y - 9*y + 12*y)*(-5 + 5 - 1).\nAnswer: -26*y - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 71, 148, 227, 308?\n\"Answer: t**2 + 74*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-4))\/(9\/6). Let f be 5*m - (-36)\/(-12). Is 2 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1314 + 260 + 594)*(-2*p - p + 5*p).\nAnswer: 4336*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 304 divided by -4\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1630538 * -4\nAnswer: -0.6522152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11862071801.0686 - -4\nAnswer: 11862071805.0686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082 divided by 3305?\nAnswer: 1082\/3305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 4, u: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5.36 + -20000\nAnswer: -19994.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-18648)\/(-592)*(-4)\/9\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18ea (base 16) to base 12\nAnswer: -3836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8517271\/3 greater than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**16)**(-9)*(b*b**(-21))**41 assuming b is positive.\nAnswer: b**(-685)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - f - 1. Let y(v) = 10*v + 9 + 0*v**3 - 7*v**3 - 9*v**2 + 0*v + 8*v**3. Suppose -2*g + b = 1, 0 = 3*g + b - 15 + 4. Give g*y(w) + 18*h(w).\nAnswer: 2*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 + 4620*p + 26*p**3 + 3002*p**2 - 9*p**3 + 517 - 2*p**4 + 168*p**3 + 1283.\nAnswer: (p + 1)*(p + 30)**2*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4070474*n**2 + 4070493*n**2 - 6*n**3 - 8140967*n**2.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008370713134 rounded to six dps?\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 2*z**2 - 2*z + 2. Suppose 4*r + k = 9, -2*r + 15 = 2*r - k. Let d be b(r). Solve 2*j - 4 = -4*g, d*g + 8 = 5*j - 17 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6918*l + 72. Let r(b) = 4612*b + 45. Let n(s) = -8*r(s) + 5*y(s). Let j(p) = p**2. What is n(j(q))?\nAnswer: -2306*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 828, 1644, 2460, 3276, 4092, 4908?\nAnswer: 5724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-36)\/80*(-705)\/(-604) - 33\/(-66) and 93\/3020?\nAnswer: 12080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 16 = -2*c + 4, 5*c = 0. Solve 0 = 2*k - 3*r + 10, 0*k - h*r - 20 = 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3))**6\/(y**(-1\/3)\/y)**(1\/6)*(y**(-2\/3))**(3\/2)*y\/(y\/(y\/(y**(-4\/7)*y*y*y)))*y*y\/y**(-2\/9)*y assuming y is positive.\nAnswer: y**(190\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.532 + 6.242. Is 0 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(20))**2*1.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppkpppx. What is prob of sequence xk?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/64998 and 23\/157.\nAnswer: 64998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 42 = 33. Let z = -0.44 + -0.06. Which is the second biggest value? (a) 4 (b) o (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**3\/11 + 4*k**2 - 42*k\/11 = 0.\nAnswer: 0, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1014 is divided by 203?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 - 22 = -31*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15 + -12 + (-2)\/2. Let g = 2 - m. Suppose -3*u - 2*z + 305 = g, -u + z = -27 - 68. Calculate the greatest common divisor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 55*r**3 + 45*r + 45. Let y(o) = -5*o**3 - 4*o - 4. Determine 4*f(j) + 45*y(j).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/(-40))\/((-2)\/(-10)). Solve q*t - 6*t = 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Calculate (-11 + 2)*(-10)\/(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -4.\nAnswer: -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109556643 is divided by 245?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 9*j**3 + 5*j**2 + 1. Let l(i) = 4*i**3 + 2*i**2 + 1. Suppose -62*m = -66*m + 8. What is m*u(s) - 5*l(s)?\nAnswer: -2*s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/43))**47*l**(-36)*l\/l**(-2\/15)*l assuming l is positive.\nAnswer: l**(-21139\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**3 + 547*u**2 + 16161*u - 11455. What is d(-145)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3332 is divided by 101.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(((-56)\/(-12))\/14). Solve v*t = -q + 15, 25 = -3*t + 8*t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8\/2 + -7 + 1023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (62 + (-15 - 33))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*y + 4 - 19 = 0, 0 = -y. Suppose -2*t + d = 1. Let 0 - j**t - 8 - 1 + 6*j = 0. Calculate j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2\/7, 529, 15\/13, -16, 6 in ascending order.\nAnswer: -16, -0.5, -2\/7, 15\/13, 6, 529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/100*(2\/21)\/(225\/420).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -1\/78, -0.3, 1\/6, 6\/19, -0.2?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*g + 2*j - 16, 4*g = 4*j + 36. Suppose 0 = -r - g - 2. Let z = r + 19. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*y + 0 + 5*y + 3*y - 5*y + (-2*y + 4*y - 4*y)*(-2 - 3 + 4) + 20*y + 18*y - 8*y.\nAnswer: 37*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -2*t - 115, 3*c - 8425*t + 8430*t = 38 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4483 is divided by 1535.\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3171 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**4 - 3*x**4 + 2*x**4)*(-35 + 4*x + 35) + (x**3 + x**3 + 0*x**3)*(-3*x**2 + 0*x**2 + 9*x**2) + 2*x**5 - 3*x**3 + 3*x**3.\nAnswer: 18*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9654 - 0.2654. Which is the third biggest value? (a) -4 (b) y (c) -1.6 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b. Let n(l) = 83*l - 81*l + 30 + 2. Determine n(g(i)).\nAnswer: -6*i + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 3*r**2 + 2*r - 3. Give z(-5).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l = -13*l + 114 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - v = -2*y - 6, -3*y = -v - 9. What is the third derivative of 0*n**y - 53*n**2 + 54*n**2 + 2*n**3 wrt n?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2362 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 55419495 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: Factor 5*q**2\/3 - 25480*q\/3 + 101680.\nAnswer: 5*(q - 5084)*(q - 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 7 + d**2 - d - 3 - 3. Let l(q) = 0*q**2 - 7 + 5*q - 5*q**2 - 2*q**3 - 2*q**3. Determine l(i) + 5*w(i).\nAnswer: i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-519)\/1211 - (-316)\/875 and -67\/45?\nAnswer: 7875","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.2, 4, -0.1107169, 1\/6.\nAnswer: -0.2, -0.1107169, 1\/6, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*h - 12, -5*h = b - 6*h. Sort b, 38, -5 in descending order.\nAnswer: 38, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*180\/(-10)*4\/150*(-315)\/84.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 + 0.3. Let b = 63 - 65. What is the second biggest value in b, d, 1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1531, -1, 1, -3, -4.\nAnswer: -1531, -4, -3, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 5)\/((-2)\/8). What is the second derivative of -g + 14*g + 12*g**4 - 4*g**z wrt g?\nAnswer: 96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 q, and 1 o when three letters picked without replacement from woqke.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 15 = -2*d. Let a be (-3)\/d*2\/2. Let r(u) = 11*u**2 + 2*u + 1. What is the units digit of r(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 + -2 - (-24 + 44 - 9)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 0*y + y**5 + 5\/2*y**2 - 5\/3*y**3 + 47 - 5\/4*y**4. Factor w(m).\nAnswer: 5*m*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 2 = 37 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 10*j**2 - 8*j - 30. Give n(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -21 in descending order.\nAnswer: 4, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -354588.\nAnswer: 70917.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5959.207 decades?\nAnswer: 715104.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110101001110000100 (base 2) to base 13.\nAnswer: 1ccb22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2619061084?\nAnswer: 2, 8053, 81307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 76*v**2 - 124*v + 245. Is 101 a factor of n(80)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7190705 * 5\nAnswer: -35953525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1396850534.\nAnswer: 2, 641, 673, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 33\/5 of a decade?\nAnswer: 792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2.8. Let k = 38306\/3 - 12590. Let y = k - 178. Sort 0, y, l, 4.\nAnswer: 0, l, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -5, 5182, 0, -3 in decreasing order.\nAnswer: 5182, 0, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10036, -9867, -9696, -9523, -9348, -9171, -8992?\n\"Answer: z**2 + 166*z - 10203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81840 divided by 240.\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3331 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -8728*g**2 - 5128*g**2 - 9869*g**2 - 1596*g**2 + 7395*g**2 as q*g**2 + r*g + f and give q.\nAnswer: -17926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 160266 = 3*j, -18562 = 5*q + 5*j + 382078. What is q rounded to the nearest one thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-24)*-3)\/((-3840)\/(-89088)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.272 - 0.028. Let f = -1.97 - y. Let p = f - -0.670029. What is p rounded to six decimal places?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19124, -19364, -19844, -20630, -21788, -23384?\nAnswer: -25484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71*b - 87*b - 42*b**3 - 333*b - 101*b**3 wrt b.\nAnswer: -858*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 1\/180*q**5 - 2*q**2 + 11\/9*q**3 + 0*q - 3 - 13\/72*q**4. Let z(r) = 0. Calculate r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -13 + -1 + (-2)\/(-2). Let m = 10 + w. Is 2 a factor of (m + 3 - -4) + 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.5 or 3\/61?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/5)\/((-1)\/(-9)). Suppose -18 = -c - c + 3*u, -3*u = -5*c + s. Calculate the smallest common multiple of 10 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 232 - 231.99. What is the smallest value in y, -2, -0.04?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2707607\/65 - -41657. Let d(m) be the first derivative of -63\/13*m**4 + 218\/39*m**3 + 7 + x*m**5 + 8\/13*m - 36\/13*m**2. Factor d(z).\nAnswer: 2*(z - 1)**2*(7*z - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 135623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -102*c + 106*c - 20. Let w(g) = -g**3 + 3*g - 2. Let n(r) = r**3 - 3*r + 3. Give c*w(m) + 4*n(m).\nAnswer: -m**3 + 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -111, -448, -1007, -1788?\n\"Answer: -111*l**2 - 4*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/32202 and -7\/554590.\nAnswer: 4991310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12248 is divided by 193?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 400, 444, 152, -470, -1416, -2680, -4256?\nAnswer: -6138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*d - 2*z + 34, 0 = -3*z + 3. Suppose -1929 - 1519 = -d*m. List the prime factors of m.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.28 - 0.31. Let a = o + 7.2. Round a to one dp.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1814 - -1803. Let w = -0.17 - -0.14. Which is bigger: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/3 (b) -4 (c) 2\/17 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 15*h + 1169. Let v be p(-78). Put v, -29, -6 in descending order.\nAnswer: v, -6, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0692 + -0.1092. Let j = 1.9 + 0.1. What is the nearest to q in -4, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 151.4 + -369.6. Let d = 190 + k. Round d to 0 decimal places.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, g: 4, u: 6}. What is prob of sequence uggx?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 24 = c - 2*y, 4*c + 3*y - 33 = 0. Let z be c\/8*32\/84. Let t be ((-1)\/3)\/1*9\/9. What is the nearest to 1 in -4, t, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6536553 and 6567.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1770 divided by 6\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42010 + -42010. Which is the fifth smallest value? (a) -3 (b) 8 (c) 7 (d) i (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**7\/14 - 13*v**4\/24 - 7*v**2 + 2. Let r(f) be the second derivative of y(f). What is the second derivative of r(b) wrt b?\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-223)\/((1 - -7) + (-306)\/36). Which is greater: 1339\/3 or l?\nAnswer: 1339\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 11 = -u, u = -2*a + 3 - 1. Calculate the greatest common factor of 784 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*l + 147*l - 80*l + 293*l + 196*l.\nAnswer: 798*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*s**3 - 117192*s**2 - 50575140*s - 71166816 = 0. Calculate s.\nAnswer: -861, -24\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 650 and 95?\nAnswer: 12350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 7 + 60)*(-375 - 287*t + 375).\nAnswer: -18081*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 911450 and 325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**8\/112 - l**7\/35 + 9*l**6\/10 - 22*l**5\/5 + 8*l**4 - 21*l**2 + 4. Factor f(b).\nAnswer: -3*b*(b - 2)**3*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 5*g + 8. Let v be j(-6). Suppose v*p - p + k - 21 = 0, -12 = -4*k. Is 80\/60*p*2 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(10\/4)\/((-3)\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-4 - 1 - (0 - (0 - 0))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-8) + (-1)\/2. Let f(s) be the second derivative of b*s**2 + 1\/6*s**4 + 1\/3*s**3 + 0 - s. Find the second derivative of f(q) wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-18))\/(7\/735*-7))\/((-2255)\/43296)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/13))\/h**(4\/9)*h**(-5\/2)\/h**(3\/2)*h*h*h**7\/h*h*h*h**(-2\/9)*(h**(1\/4))**(-38) assuming h is positive.\nAnswer: h**(-259\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101102201211 (base 3) to base 7.\nAnswer: 6156115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 13*b + 27. Let a be v(-11). Suppose -a*w = -6 - 364. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 886 * -6.5.\nAnswer: -5759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -191*c**3*u**2 + 2*c**2*u**2 + c**2*u + 48*u wrt c?\nAnswer: -1146*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (160\/28)\/(310\/(-868)) + 26906\/1683?\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 4*t - 9500 = -9508, h + 10 = 5*t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11816020 a multiple of 1184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2\/5*o + 2\/5*o**2 - 4\/5 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 116\/5. Which is the fourth smallest value? (a) 0 (b) -0.1 (c) w (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 11. Let y be p\/(-2)*(-3)\/(-5). Suppose -y*h = -8*h + 25. What is the remainder when h is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 43 + 35 = 0. Differentiate -13*q + 5 - 11*q + 17*q - i*q wrt q.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -11*q**2 + 3*q + 70. Let l(c) = -34*c**2 + 8*c + 210. Determine 8*h(s) - 3*l(s).\nAnswer: 14*s**2 - 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.08388 - -0.11612. Which is the second biggest value? (a) 0.1 (b) 2 (c) -1 (d) k (e) 4\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56 - -53?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 31*u. Give k(-26).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 42769332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {v: 1, g: 4, x: 1, s: 2, d: 3, p: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 12 (b) -6 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2979139.951 rounded to the nearest 1000?\nAnswer: 2979000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 66 or 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -38468, -76940, -115412, -153884, -192356, -230828?\n\"Answer: -38472*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 26*p**3 - 11*p - 9. Determine c(-2).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (45\/297)\/(26\/(-663)). Which is greater: g or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-777)\/756*-8)\/((-4)\/18).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 71*a**2 - 68*a + 309. Let x(w) = 24*w**2 - 23*w + 102. Let j(u) = -4*n(u) + 11*x(u). Let l be j(26). What is l rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -418.11 and 0.02092?\nAnswer: -8.7468612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbnbbbnbnnbnnb. Give prob of sequence bbb.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r**3 - r**2. Let m be u(1). Let j be ((3 - -6) + -2 + -10)*(-5)\/(-25). Which is the third smallest value? (a) m (b) j (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 235.30391 to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15498 and 179334?\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364124.\nAnswer: 2, 29, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - 23. Let x = t - -47. Solve 5*i + 0*i + 25 = x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66558, 132858, 199158?\nAnswer: 265458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61 and 2196.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**4\/12 + n**3\/3 - 41*n**2\/2 - 272*n + 3. Let g(a) = -a**2 - 7*a + 6. Let k be g(-9). Is 38 a factor of z(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyooyecdedcoooyeo. What is prob of picking 2 d, 1 e, and 1 c?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + u + 2 + 3*u - 3*u + u + 0*u + u - 2*u + (2 + 4 - 4)*(3*u - 3*u + u) + 4*u + 4*u - 6*u + (-u + 6*u - 4*u)*(2 - 4 + 4).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15729 divided by 147?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + o - 4, 9*o - 16 = -5*l + 5*o. What are the prime factors of -138*(-3)\/(3 + l)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 6*p + 7. Let h be g(7). Let c = -211 + 2749\/13. Let n = -25\/26 + c. Is h less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -18*t**3 + 1602*t**2 + 7*t - 631. What is x(89)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12521 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 - 2208*t**2 - 406272*t.\nAnswer: -3*t*(t + 368)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + 2*sqrt(2299)*3)**2 + 1)*6*-1.\nAnswer: -1489758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -58, -130, -216, -322, -454, -618?\n\"Answer: -d**3 - d**2 - 62*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007663 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 23*h + 9. What is q(23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {y: 5, e: 5, g: 2, m: 1, d: 2, o: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*((-9)\/(-12))\/(-1))\/((38\/(-285))\/1).\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 7*p**2 + 10*p + 6. Let j be h(5). Suppose j*i - 266 = 364. What are the prime factors of i?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**6\/15 + d**5\/6 + d**4\/6 - 286*d**2 - 3. Let m(o) = -23*o**3 - 29*o**2 - 11*o. What is -17*a(z) - 6*m(z)?\nAnswer: 2*z**3 + 4*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 11*l + 4)*(-5 + 11 - 5) - 90 - l + 90.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 30 = -0*c. Solve 0 = -3*i + c*i - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41031 + -16894. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -0.04, 0.5 in descending order.\nAnswer: 0.5, -0.04, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from dusxddddoo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6311?\nAnswer: 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -141*j**8\/56 + 8*j**7\/21 + 41*j**4\/4 - 5*j**3\/3 + 351*j. What is the third derivative of m(u) wrt u?\nAnswer: -16920*u**3 + 960*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8*d + 22. Let l be f(3). Let r(s) = -s**3 + 4*s + 5. Let w be r(l). Solve 0 = 4*c - w*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10524410*l**2 - 3217133*l + 6 wrt l?\nAnswer: 21048820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27284*i**3 - 3*i - 328535 wrt i.\nAnswer: -81852*i**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 12*m + 47821 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4 + (-3)\/12. Suppose -2*r + 2*x + 4 = g, r - 2*x + 0*x - 2 = 0. What are the prime factors of r\/(0 + 2) - -70?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 356713\/8155334 - 2\/39589. Calculate the common denominator of u and -25\/22.\nAnswer: 2266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -227566512 to the nearest one million.\nAnswer: -228000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 27*q**2 - 1. Let d be b(-27). Let y be -4 - (d + 1 + -4). Determine a so that y + 9\/4*a - 3*a**2 + 3\/4*a**3 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-1 - -3)*2. Let d be (-122)\/y - 2\/2. Calculate the highest common factor of 24 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + d**2 - d - 1. Let v(g) be the first derivative of g**4\/2 - g**3 + g**2 + 4*g - 4. Give -3*j(k) - v(k).\nAnswer: k**3 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -570\/91 (b) -32 (c) 4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -5, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 y, and 2 b when four letters picked without replacement from {f: 2, b: 1, a: 1, y: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**2 + 248216*r + 70815968 = 0.\nAnswer: -284, 62338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 678902537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 4*v - v - 15, 20 = -q + 4*v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1060*l - 5965 - 48943 = 500*l - 1042*l for l.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 334025012 (base 6) to base 2\nAnswer: 10111001001101011100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-100))\/(6\/8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-684)\/(-891) - (-78)\/(-143). Which is the second biggest value? (a) 8 (b) q (c) -0.4 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*i = v + 87, 0 = 3*i - 4*v - 87. Suppose -9 + 47 = 5*j - 3*c, c = 4*j - i. Is 866\/j + 2\/7 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9000655061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 398, 1342, 3184, 6224, 10762, 17098, 25532?\nAnswer: 36364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/13)\/(o\/((((o\/(o*o**(-1\/22)))\/o)\/o)\/o)))\/(((o\/(o*o**11))\/o)\/((((o*o*o*o**(2\/21)*o)\/o)\/o)\/o)))**22 assuming o is positive.\nAnswer: o**(55823\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4751 = -4*d + 4*l + 1042587, 0 = 4*d + 5*l - 1037845. Let c = 172489 + -791949. Let s = c + d. Round s to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 604 divide 185273980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 3*o + 5*o)*(o - 16*o - 23*o) + (-2*o + 2*o - 2*o)*(1 - 1 - o) + (-5*o + o + 3*o)*(0 + 0 + o).\nAnswer: -37*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8031, 14198, 20365, 26532, 32699, 38866?\n\"Answer: 6167*l + 1864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 157339819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -148*m + 451. Calculate t(0).\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -270045*j**3 + 3*j**2 - 23065*j wrt j.\nAnswer: -1620270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 183332063701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 2*i + 307 = 3*d, -4*d + 4262*i - 128 = 4260*i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + j - 5, 2*t - 37885*j = -37886*j + 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (1 + (-13 - -5) - -27)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - l + 4*l = -31, -4*c - 2*l + 6 = 0. Suppose -7*b - 7 + 28 = 0. Suppose 4*y + b*p - 17 = 0, -y - 4*y = -c*p - 60. Solve t - 4 = -y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -8, -76 in increasing order.\nAnswer: -76, -8, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 + -52.30811\nAnswer: -50.50811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -45. Let k = d + 9.7. Let u = 5 - 9. Sort u, k, 3 in ascending order.\nAnswer: u, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8*2)\/((-22)\/(-44))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6195639 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1082.\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1992, -1989, -1984, -1977?\nAnswer: -1968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -9*y + 4*y. Let w = -710 - -4972\/7. Which is the nearest to w? (a) -1 (b) 0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.8 - 7.2. Let f = -8.39 - 2.61. Let v = f - j. Sort -1, 3, v in decreasing order.\nAnswer: 3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35436420?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 + 13*n + 6. Determine v(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((-2*sqrt(99)*6)\/(sqrt(45)\/(sqrt(20)\/sqrt(4))) - (-4 + (sqrt(1100)*1 - sqrt(176)*6))))**2.\nAnswer: 36*sqrt(11) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274832473.\nAnswer: 19, 14464867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1069156 rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4154 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17\/4 + -53\/12. Sort 0.9, 0.4, j, -2.\nAnswer: -2, j, 0.4, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46332 divided by -18\nAnswer: 2574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1572604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0758 - -30.9758. Let p = -33.9 + w. Which is the third biggest value? (a) -31 (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 185 = -2. Let g = -2429\/13 + r. Sort -0.5, -0.4, g.\nAnswer: -0.5, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - (48 - (50 - 28))) + (-1 - -132).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40.08 + 40. Let l = j + 0.58. Put -4, -1, l, 1\/4 in ascending order.\nAnswer: -4, -1, 1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452*o - 989*o - 3059*o + 516230 = 4886*o for o.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -15*d**5\/2 - 21*d**4\/2 + 9*d**3\/2 + 21*d**2\/2 + 3*d = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 255?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - m + 6 = -0, l - 5*m - 30 = 0. Suppose -1507 = -60*f + 1433. What is the remainder when f is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 269.325081 nanoseconds?\nAnswer: 0.0000000000031171884375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4246802 is divided by 4246759.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -10*g + 4. Suppose -k - 3 = -0*k. Let r(x) = 2*x - 1. Let d = 152 - 111. Suppose 2*l + 33 = 5*a, a = l - 4*l - d. Determine k*t(w) + l*r(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/17881*(-944)\/(-9440). Is x <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*p - k, p - 4*k + 19 = 2*p. Let d be ((-1)\/2 - 1)*(3 - 5). Suppose d*u = 2*w - 7*w + 51, -4*w = 4*u - 36. Solve 0*x + w = -p*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from gyqygyqnyqygqqyyq?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + a = 3*g + 453, g = -4*a - 240. Let c be 3569\/15 - (-4)\/(-30). Let n = g + c. What is the common denominator of 25\/7 and n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*g = 36*g - 45 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 - 65. Let h be (-62368)\/(-38880) - p*1\/(-5). Let w = h + -1\/243. Which is smaller: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1040 (b) -0.5 (c) 2\/11 (d) -7035 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*r**2 + 19*r**2 - 95*r**2 - 33*r**2 + 20*r**2 + 19*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 204*c**2*l - 2*c*l + 84*c wrt c.\nAnswer: 408*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8359 - 64*j**2 + 64*j**2 + 8359 - 4*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k - 33. Let w be s(-6). Suppose w*h + 4 = -17. Calculate the remainder when 25 is divided by ((-1)\/(-3)*1)\/(h\/(-273)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -2 - 3) + 47. Let i = -5 + b. Suppose 0*n = -2*n + 8. What is the highest common divisor of n and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w + 650 - 726 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 34 = -5*w + 5*z, 2*w + z = 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 208 - 211.3. Let d = -0.3 - k. What is the biggest value in d, 22, 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*2 - (3 + sqrt(19) + 1))**2.\nAnswer: -72*sqrt(19) + 1555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**2 + 5*g + 3. Let r be i(-1). Suppose 187*t - 195*t = -32. Put -10, t, r in descending order.\nAnswer: t, r, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 350 - 347. Solve 4*s - 3*s - r = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 540311 and 1887.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1469 + 151 = 9*o. Is o a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-26)\/1))\/(8196\/(-2732))\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(221\/(-13))*((-3)\/2)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqc when three letters picked without replacement from {c: 3, q: 17}?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/516 and 18\/2774575?\nAnswer: 33294900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most as big as -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12580 is divided by 3134?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47194293.\nAnswer: 3, 15731431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*f - 214*f = -450*f + 1225 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40872?\nAnswer: 2, 3, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t + 153 = 193 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s + 2. Let i be g(8). Suppose 2*o + 18 = v, -2*o = -v + 5*v - i. Suppose 5*m = -2*j + m + 6, 4*j + 2*m - v = 0. Is 4 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -99, -27, -16 in increasing order.\nAnswer: -99, -27, -16, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 5. Let o(c) = -c + 3 - h. Let b(u) be the third derivative of -u**4\/24 + u**2. Determine b(o(t)).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**27)**10 assuming c is positive.\nAnswer: c**290","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 4. Let n(s) = -s**2 - 7*s - 4. Suppose 6 = -2*l, -5*l - 53 = 5*y - 8. Let p be n(y). Solve -p*a + k*a - 2*h - 5 = 0, 0 = 2*a + h + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 243146782 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6196386 rounded to two decimal places?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 350675795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61209*l**2 + 61209*l**2 - 183*l**3)*(3 - 5 + 4*l**2 - 2*l**2 - 16 - 7*l**2).\nAnswer: 915*l**5 + 3294*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -457917.01075 + 457838. Let h = n + 79. Let v = -0.01 - h. What is v rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -9*t**2 - 4*t + 4. Let s(w) = 10*w**2 + 5*w - 5. Let q(a) = -5*m(a) - 4*s(a). Let f(v) = 2*v**2. Determine q(f(j)).\nAnswer: 20*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1338, 1348, 1372, 1416, 1486, 1588, 1728?\n\"Answer: p**3 + p**2 + 1336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -35*x**3 + x**2 - x - 1. Let s = 1732 + -1563. Calculate the remainder when s is divided by p(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 13*r**2 - 54*r - 721. Let s be m(-13). Let n(l) = 18*l**2 - 8 + l**3 - 11*l - 26 - 11*l. What is the remainder when 43 is divided by n(s)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434043159?\nAnswer: 3, 11, 3119, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10755486719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4963 - 5288. Put g, -2\/7, -4, 1\/5, -5 in ascending order.\nAnswer: g, -5, -4, -2\/7, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 33 = -3*n. Let b be (-11)\/(-3) + (-2)\/3. Suppose -2*r - 10 = -4*z, -5*z = -4*r - 17 + b. Solve j = -3*m + 2*m, 2*j - n = z*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 7*t**2\/2 + 489. Let l(q) = 2*q**2 - 44*q. What is l(z(p))?\nAnswer: 98*p**2 - 308*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(152)*1 + (2*sqrt(152) + sqrt(152) - sqrt(152))*3)\/((sqrt(72) - (sqrt(72) + -1*sqrt(72)))*-4) + 1)**2.\nAnswer: -sqrt(19)\/2 + 35\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 570\/31, 4, 3, 1\/8, 2\/9, 8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31797?\nAnswer: 3, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**6\/24 + r**3\/3 - 57*r**2 + 134*r. Let d(u) be the second derivative of y(u). Let j(x) = 12*x. What is d(j(w))?\nAnswer: -2160*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*w + 12*w + 4*w)*(-w - 3*w + 3*w) - w + w - w**2 + (-8*w + 32*w - 7*w)*(-w + 3 - 3) - 5*w**2 + 0*w**2 + 3*w**2 to p*w + x*w**2 + c and give x.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 20 - 11. Let x be (-1)\/(-1)*v\/(-5). What is the third biggest value in 1, 4, 8, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-525)\/22 + ((-406)\/84)\/29. Let r = 114\/11 + j. Which is smaller: -15 or r?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 936 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 14. Suppose -4*g + 20 = 0, 0 = r - 4*r + 2*g + 14. Let k(d) = d**3 - 10*d**2 + 18*d - 8. Calculate the least common multiple of y and k(r).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688 is divided by 271.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 948517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 9 + (57 - 30).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*d = 2*d + 26*d + 42 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h - 1410*h**2 - 1 + 0*h - 2*h + 1416*h**2 + h**4 in the form t*h**2 + x*h**3 + z + p*h + u*h**4 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 23*s - 7. Let y(n) = 22*n - 6. Let t = -3343 - -3349. Determine t*v(b) - 7*y(b).\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: 0.7+0.429\nAnswer: 1.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1842226.6 rounded to the nearest 10000?\nAnswer: 1840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -16*v**3 + v**2 - 1. Let f(c) = c**3 + c**2 - 1. Calculate -3*f(l) + 3*k(l).\nAnswer: -51*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - -4)*16\/(-2) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/6*36\/150?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -9514?\nAnswer: 9515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2415 - -1015?\nAnswer: 3434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/8 - 525065*h\/8 + 262533\/4.\nAnswer: -(h - 1)*(h + 525066)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*o - 2*o. Let t be 3 + (-3)\/(3\/(-1)). Suppose 0 = 2*y + n - 1, t = -o*y + n + 17. Which is greater: 6 or y?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -144, -231, -334, -459, -612, -799?\nAnswer: -1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.4824153 microseconds in days?\nAnswer: 0.00000000021391684375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*i + 0*i + 0*i)*(-3*i + 0*i + i)*(-2 - 3 + 2) to the form b + h*i + g*i**2 and give g.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 23*q + 8. Let u(x) = 20*x + 7. Let m(s) = -7*j(s) + 8*u(s). Let t(v) = -3 + 1 + 2 + 52*v**2. What is m(t(c))?\nAnswer: -52*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2722386\/143 + 242682\/13. Let r = q + 30623\/66. Let h = r - 94. Sort -0.3, -0.05, h, 2\/11 in decreasing order.\nAnswer: 2\/11, h, -0.05, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j**2 - 1051*j - 3154. Let n be i(-3). Which is the nearest to n? (a) -1 (b) -0.5 (c) -3 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*x**2 + 11367316 - 179*x**2 + 365*x**2 - 3*x - 11367316.\nAnswer: 5*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 24271*t + 11046448.\nAnswer: (t + 464)*(t + 23807)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 + 44 - 90 = -10*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-25))\/(20\/(-50)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245 + 136 - 125 - 100*m.\nAnswer: -100*m - 234","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06182926026 rounded to 3 decimal places?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 6\/35, -36.6?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, w: 2, h: 1}. What is prob of picking 1 d and 2 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 + 7 = -150*k + 114*k - 67 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/15, -0.06, -0.6, -0.3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g. Let a(r) = -2*r - 19121. What is a(u(m))?\nAnswer: -2*m - 19121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 3*b + 6, -3*g + 19743*b - 19740*b + 6 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*5\/(-5))\/(-1) + 36. Calculate the highest common factor of 185 and r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/297 and 7\/165231.\nAnswer: 495693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49 and 63?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -111, -702, -2309, -5442, -10611, -18326?\n\"Answer: -85*h**3 + 2*h**2 - 2*h - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 364722.3 meters?\nAnswer: 364722300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23706849 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-12) - (4 + 231\/(-28)). Solve p = 2*z - 3*h, 2*z - 2 = -0*z + 2*h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(-30) + (-54)\/(-15). Let b(r) = 4*r - 2*r - h*r + 10 - r**3 + 38*r**2 - 31*r**2. Is b(7) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + -1. Let p(m) = -m**2 - 4*m - 3. Let r be p(b). Suppose 4*u - 2 + 6 = r. Sort 3, -4, u in descending order.\nAnswer: 3, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f - 596*f = 230*f - 123*f + 48090 for f.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -24*q - 1582. Let m be r(-66). Suppose -f + 55 = 4*f. Let l be -4 + m - (f - 15). Solve -j + 2*w + 5 = 0, 0 = 2*w - 0*w + l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + v - 53 + 104 = 2*n + 26, -2*n - 2*v = 26 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120002 (base 3) to base 6.\nAnswer: -5132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8173 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.167 - 0.153. Let s = 0.48 - i. What is s rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4938376, -9876745, -14815110, -19753471, -24691828, -29630181?\n\"Answer: 2*n**2 - 4938375*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 10 = -w. Suppose -w = 5*o - 18. Let c = 0.7 + -5.7. Sort o, c, 1\/5.\nAnswer: c, 1\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2247645 is divided by 2585?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32.3 - -64.3. Let z = 31.8 - x. Let q = 3 + -8. Which is the biggest value? (a) z (b) -0.1 (c) q (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 divided by 390205\nAnswer: 57\/390205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 11, 23, 0.2, -2 in ascending order.\nAnswer: -11, -2, 0.2, 11, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -65, -132, -215, -320, -453?\n\"Answer: -b**3 - 2*b**2 - 54*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1100010100 (base 2) to base 12\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 3*t - 4. Let i be o(-2). Let q be ((-18)\/6 - 5\/i)*-14. Let k(w) = 0*w - 18 + q - 11*w + 9. Calculate k(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 13. Let b(h) = 2*h + 66. Let l(p) = 4*b(p) - 22*y(p). What are the prime factors of l(8)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5 or 1627?\nAnswer: 1627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6951*u = 3*r + 6949*u + 9, -148 = -118*r - 8*u + 3*u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**6\/1080 - p**5\/36 - 25*p**4\/72 + 11*p**3\/6 + p. Let d(w) be the second derivative of k(w). Find i such that d(i) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -7 (b) 1 (c) 5 (d) -60 (e) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 - -5.06. Let i = -5.7 + k. Let y = i - -1. Which is the third biggest value? (a) 3 (b) y (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 355311079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g - 2. Let l be r(2). Let a(h) = -h**2 - h + 9. Let u be a(-3). Suppose 7 = 5*b - u. Put l, -0.2, b in decreasing order.\nAnswer: l, b, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210227677.\nAnswer: 11, 337, 56711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6*j**3 - 31*j**2 + 3*j + 2. Let m be f(-6). Which is greater: m or 167?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -31. What is the least common multiple of 9\/r*(-176)\/33 and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -227*r + 18621. Give h(82).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1310 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssqqqcqqdclsqsqc. Give prob of sequence qqsd.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 3. Let k be z(-4). Let c = 5 - k. List the prime factors of ((-16)\/24)\/(c\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 4. Suppose 1 - 7 = 3*k. Let l be (16\/q)\/(k\/(-5)). Calculate the highest common factor of l and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*h**2 - 795 + 795 as w*h**2 + k*h + s and give w.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -1, -1.1, 83\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28680022*h**2 + 11049970 wrt h.\nAnswer: -57360044*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 35069 divided by -1\nAnswer: -35069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*o = 322526 + 164620. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/36 and -5\/5519596?\nAnswer: 49676364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101 - -11100011011?\nAnswer: 11101010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -119 * 10.\nAnswer: -1190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111705560 and 1030?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 79, 133, 163, 157, 103, -11, -197?\n\"Answer: -2*s**3 + 68*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -6488 + 6508 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*n - r - 12, 0 = 2*n - 3*r - 3. Let q be 25 - 3*1\/n. Suppose 4*g - q = -0*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 690 minutes after 12:41 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001234574 to 7 dps.\nAnswer: 0.0000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 5*z. Let o(r) = -r**2. Let h(g) = 2*o(g) + t(g). Find the second derivative of h(c) wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqgjgqghgxgjqh. Give prob of sequence ggj.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - ((-4332)\/33)\/4) + (-1372)\/(-7546)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-23)\/4)\/(3\/(-12)). Suppose q*m - 378 = 21*m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*k**5*t*y + 2*k**3*t + 4*k**3 + 2*k*t*y - k*t - k*y + 12*y wrt k.\nAnswer: 220*k**3*t*y + 12*k*t + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22.315 - -13.4478. What is t rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**9\/15120 + g**7\/840 - g**6\/360 - g**4\/6 + 4*g. Let b(z) be the third derivative of s(z). Factor b(n).\nAnswer: -n*(n - 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*m - 83619 + 88551 = 0 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -10. Let x(y) be the second derivative of 0*y**5 + 0 - y + 0*y**2 + 1\/6*y**g - 1\/3*y**3 + 0*y**4. Find the second derivative of x(f) wrt f.\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-117 - 42*c + 117)*(2 + c - 2).\nAnswer: -42*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*g**2*p**2 + g**2*p - 2*g*p**2 + 27*p**2 wrt g?\nAnswer: 54*g*p**2 + 2*g*p - 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*w + 0*w - 12 = 0, -w - 4 = -5*r. Suppose r = 4*i - 2*b - 20, -5*b + 0*b + 10 = 5*i. Suppose 30 = x + i*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -172 - -297. What is the tens digit of b\/(((-1)\/(-2))\/(10\/20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -97*n + 47*n - 6 - 23*n**2 + 38*n. Let v(i) = -8*i**2 - 4*i - 2. Give 6*f(t) - 17*v(t).\nAnswer: -2*t**2 - 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1078 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11906*g**2*l**3 + 11*g**2*u + 4*g**2 + 2*g*l**3*u - 3*g*l**2*u - 2*g*u + 14*l**2 - 140008*u wrt g?\nAnswer: 23812*l**3 + 22*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*m**2 + 7*m**3 + 2295*m - 2295*m wrt m?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4548*7\/35 + 15\/(-25)?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(-9)))\/j*j*j)\/j*j*j*j*j**(2\/3)*(j**1*j)**(-2\/29) assuming j is positive.\nAnswer: j**(-476\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 6*g**2 + 5*g - 1. Let q be b(6). Suppose -2 = 3*u - q. Calculate the remainder when 17 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 163*n - 1080. Calculate the remainder when 228 is divided by m(7).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 25 = -5*x - 5*n, x + 5*n - 5 = 0. Let f(g) = 3*g - 26. Let k be f(x). Let h be (-2)\/(-10) - ((-415)\/50 - k). Is 12 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 914848 divided by -32\nAnswer: -28589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = 6*g - 319. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-400)\/68 + (-943)\/(-161) + 1\/7\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + k**2 - 3*k + 1. Let r be h(-5). Let u be 4\/6*r\/8. What are the prime factors of 3\/u + (-48)\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((-2)\/(-4)*-2). Suppose b = -2*k + k. Suppose -2*h + 6 = -k*q + 4*q, 2*h - 3*q + 15 = 0. Sort h, -10, -5 in descending order.\nAnswer: h, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.776 - 0.2.\nAnswer: -1.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 243 and 12042?\nAnswer: 108378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-2 - 2) - -15?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -2, 26, 13, -15, -13 in ascending order.\nAnswer: -15, -13, -4, -3, -2, 13, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100001001101 + 11001110?\nAnswer: -111011101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -158 + 633\/4. What is the second smallest value in -1\/4, -4, 0.3, j?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1276121 is divided by 298.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(-4)\/(-4))\/(5 + (7 - (-45)\/(-6))).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5995, 5986, 5977, 5968, 5959, 5950?\n\"Answer: -9*r + 6004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -796 + 842. Let c(z) = 0*z + 231 + s*z - 231 + 0*z. Let f(q) = -q**2. Give c(f(r)).\nAnswer: -46*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3586*q - 2. Let h(i) = 2*i. What is h(a(x))?\nAnswer: 7172*x - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 823314472 to the nearest integer?\nAnswer: 28693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -160.7 - -143. Let g = 17.7000361 + c. Round g to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 981822600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*d + 0*d + 11*d)*(4 - 1 - 2 + (1 - 4 + 4)*(-3 - 1 + 3) - 4 + 1 + 4 + 0 + 1 + 1 + 2 + 0 + 0 + (-3 + 3 + 2)*(2 + 19 - 9)) as l + j*d and give j.\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.36912 + 0.16912. Let q = 4 + -3. Which is the closest to h? (a) q (b) 1\/8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z - 3*z**2 + 0*z)*(-99*z - 62 + 62)*(1 - 1 - 2*z) + (-1 - 1 + 4)*(z**3 + 2*z**4 - z**3) to the form k + n*z**4 + q*z**2 + d*z**3 + c*z and give n.\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (-42)\/((-126)\/75)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**5\/2 + 195*s**4\/2 + 1488*s**3 + 3696*s**2 - 35712*s - 38016 = 0.\nAnswer: -44, -12, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 208379, 1, -5 in descending order.\nAnswer: 208379, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -702445, -1404890, -2107339, -2809798, -3512273?\nAnswer: -4214770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 64.2069 centimeters?\nAnswer: 642069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q - 128. Calculate u(36).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c925a (base 15) in base 11?\nAnswer: -1243785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 399 and 456?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 m when two letters picked without replacement from wwwwmmwwwwwwwwwwwwww?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 450*s - 271*s + 2506 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 517 in 2, -1, -11, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 39 = -5*h, -3*h - 24 = -0*h + 2*u. Let i be (72\/10)\/(h\/(-20)). Let q = i - 14. Calculate the remainder when 18 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 410921\/22 + -18674. Let h = 2444 + -19607\/8. What is the common denominator of v and h?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -3*x + 13*x. Let t(s) = 9 - 15 + s + s**3 + 4*s**2 - 5*s. Give t(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 1)*(-1 + -1). Let w be (4\/(-3))\/(r\/(-6)). Sort -3, 0, w in descending order.\nAnswer: w, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**3 + 204*x**2 - 3779*x - 287. Determine t(-118).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/625 - -131\/1875. Let h(k) be the second derivative of 1\/30*k**4 + 0*k**2 - k - f*k**3 + 0. Factor h(g).\nAnswer: 2*g*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 - f - 2 + f**2 - f + (3*f - 3*f + f)*(-f - 1 + 1) - 23*f**2 - 6*f**2 - 12*f**2 as j + b*f**2 + x*f and give b.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2267*q + 145310 + 125102 = -1231*q - 538*q for q.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*u + 7. Suppose 23*t = 24*t - 32. Let a = t - u. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32\/(-14) - 8\/(-28). Let a = r - -5. What is the third derivative of -2*h**2 + 3*h**4 - 2*h**2 + a*h**2 - 2*h**2 wrt h?\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, 1, -44, 19.\nAnswer: -44, -5, 1, 8, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 282\/(-235)*(-3)\/(-3)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 22, 59, 52, 4, -1, -17 in decreasing order.\nAnswer: 59, 52, 22, 13, 4, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5942, -5943, -5944, -5945, -5946?\nAnswer: -5947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50987314 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -4. Let u = 28 + -28. Let z be (-1)\/(-6) + ((-2612)\/(-456) - 6). Which is the third biggest value? (a) z (b) 0.5 (c) u (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 2. Let k be n(-5). Let v = k - -6. Let g(t) = -t - 3 + 5 - 1. What is g(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*y**2 + 39*y**2 + 13*y**2 - 21*y**2 as v*y + q + u*y**2 and give u.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 10:17 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1 (b) 19 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 21928*v**5 + 120772*v**4 - 262212*v**3 - 210332*v**2 + 151900*v + 1176 = 0?\nAnswer: -7, -1, -21\/2741, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, h: 10, n: 1, c: 1}. Give prob of sequence lllh.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00084423 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4136)\/231 - -27 - 8\/84.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and (-63)\/(-6) + (-2)\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 13*w**2 - 5*w**2 - 8*w**2 - w**4 + 2*w - w**3 to v*w**3 + g + b*w**4 + j*w**2 + x*w and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 5, 3, -1, -3.\nAnswer: -3, -1, 3, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 456\/19*1*(-84)\/(-504)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/9207330 and -143\/12.\nAnswer: 18414660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3777146 + -77121. Suppose -2*u + u = -5*g - x, 5*u - 18500015 = 3*g. Round u to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-4) + (-1 - -1). Let q = 59482.5 - 59482. Which is the nearest to 2\/19? (a) i (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527387 equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1793 (base 11) to base 16.\nAnswer: -8e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from {z: 4, a: 14}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0.19353.\nAnswer: 4.19353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -15*w + 20*w - 24, d + 10 = 2*w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v - 10. Let b(q) = -1. Let m(a) = -2*b(a) + r(a). Let g(z) = 2*z + 4. Let i(c) = -5*g(c) - 3*m(c). What is i(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 12. Let m be s(-5). Let r(v) = 8*v - 8 + 0*v**2 + 7 + 11 - v**2. What is the units digit of r(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/129236370 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-28)*d)\/d**(-6\/31)*(d\/(d**6\/d*d))**6)**(2\/3) assuming d is positive.\nAnswer: d**(-1174\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 h when two letters picked without replacement from jhjmgww.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b - 2*b + 0*b - 1. Let o be 2\/3 - 7\/(-3). Let c be w(o). Calculate the highest common factor of c and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 534.4516m?\nAnswer: 534451.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 20*d**3 - 17*d + 17. Let q = 3955 + -3949. Let l = -33 + 50. Let z(w) = -2 - 2 - 7*w**3 + 6*w - 2. Calculate l*z(x) + q*j(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 3*t - 2 + 4, -23 = -3*l - 2*t. Let k = 1 - -4. Suppose 0*d = d - k. Solve 8*p = 3*p + 3*g, d*p - l = 4*g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 9*i = -58, 0 = -3*d - 5*i + 6*i + 18. Let h = -3.5 + 6.5. Let v = 1 + 0. Sort -0.4, h, v, d in ascending order.\nAnswer: -0.4, v, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -40*d**2 - 8*d + 22. Let c(m) = 13*m**2 + 3*m - 7. Let q(p) = 10*c(p) + 3*y(p). Solve q(l) = 0 for l.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25095953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 11:44 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0\/433)\/(-1*1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10801, -14619, -20981, -29887?\n\"Answer: -1272*c**2 - 2*c - 9527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 203\/4 + -51. Which is the biggest value? (a) 5 (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -306510, -5, -215 in decreasing order.\nAnswer: -5, -215, -306510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -247733 > -247692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 121.34 and -0.4.\nAnswer: 120.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13758663 times -0.25\nAnswer: -3439665.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 0.3, 0.44, 2\/11?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -377194656 divided by -3642\nAnswer: 103568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3643 + -3588?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322 = -7750*f + 7720*f + 218 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d**3 + d**2 - d - 1. Let k be i(-1). Let t(n) = n**2 - 4. Let j be t(-4). Calculate the greatest common factor of j and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a + 0 - 5 - 2*a. Let z be g(7). Find the third derivative of -2*c**2 - c**4 + 2*c**2 + c**z wrt c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 6*b**2 + 3*b - 2. Let h be 2*1 - (-4 - 1). Let d(n) = -28*n + 0 + 29*n - 12. Let f be d(h). Calculate w(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(6\/13)*i\/i**(-2\/17))**(19\/5) assuming i is positive.\nAnswer: i**(2166\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -34 + 14. Let g(o) = -4436 + o + 4436. Let h(x) = -x**2 + 5*x. Determine r*g(l) - h(l).\nAnswer: l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54189 and 7857.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2544 and 44726064.\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**4 + 380*z**2 - 6007*z. Let h(c) = 5*c**4 - 1139*c**2 + 18010*c. Let p(y) = -4*h(y) - 11*i(y). What is the second derivative of p(g) wrt g?\nAnswer: 24*g**2 + 752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -71 + 31*t + 37*t - 131*t + 34*t + 32*t in the form o*t + v and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387 + 147 = -10*n. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3150 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33126629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -231139629.4871 and 5.\nAnswer: -231139624.4871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13106028 and 1566?\nAnswer: 117954252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -1\/12*d**4 - 1\/2*d**2 + d + 0 + 1\/6*d**3. Let p(b) = 5*b**2 - 7*b + 6. Let h(n) = p(n) + 6*x(n). Factor h(a).\nAnswer: -a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 5) in base 4?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2, 1\/2, 4\/5, -0.218?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 3220*k**2 + 505300*k + 4251040.\nAnswer: 5*(k - 326)**2*(k + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 1043?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - 2.7. Let u = 394 + -393.8. What is the nearest to -2\/7 in 1, u, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1053912 by -23.\nAnswer: -1053912\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173537 is divided by 1057?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14, -141, -476, -1121, -2178, -3749, -5936?\n\"Answer: -17*z**3 - 2*z**2 - 2*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.68 + 1.18. Let i = 30 + -30.1. Which is the nearest to i? (a) z (b) -5\/4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, w: 3, p: 1, c: 7, f: 2}. Give prob of picking 1 c and 1 p.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 763223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*b + 10*b - 23*b + 274 - 23*b in the form y*b + z and give z.\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -4, -9 in ascending order.\nAnswer: -9, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 63*a + 122.\nAnswer: (a + 2)*(a + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25220*r = -22512*r + 54160 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35717 and 2607532.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6540603 and 183.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -14*t - 329. Let a be f(-25). Which is smaller: a or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1610*z + 1621*z - 227 - 3251*z)*(3*z - 1 + 1) to the form t*z**2 + w*z + g and give t.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(468))**2 + -5.\nAnswer: 12*sqrt(13) + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1218 divide 83723442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 8:18 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1802896?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 386177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -515 - w**2 + 515.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 19 + -9*(-7)\/21. What is the common denominator of (17\/4)\/(o\/28) and -61\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55013 and 406.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -829.1 - -829. Which is the nearest to 0.1? (a) 1 (b) -3 (c) -15 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -69, -3, 2, 199 in descending order.\nAnswer: 199, 2, -3, -5, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2644*n**2 + 200326 with respect to n.\nAnswer: 5288*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.1 - 8.4. Let w = 13.3 + h. Let p = w - 16.9953. Round p to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5))**(1\/33)*m*m*m*m*m\/(m*m**(2\/7)\/m)*m**5*(m**2)**(-41)*(m**(2\/9)\/m*m)**26 assuming m is positive.\nAnswer: m**(-230408\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/12)\/(36\/40) - (15 + (-1589)\/42)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 14*g**2 - 2*g + 2. Calculate t(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1576291569 to the nearest 1000000.\nAnswer: -1576000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 12*w**5 + 219*w**4 + 150*w**3 - 7680*w**2 + 13518*w + 3861 = 0.\nAnswer: -13, -11, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*l = 124*l - 18. What is the units digit of -4*l\/96 + (-15588)\/(-32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-5)\/30)\/((-1)\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15086325 is divided by 541?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, d: 2}. Give prob of sequence md.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c\/((c\/(c*c*c**(-2)*c))\/c))))\/c)\/(c\/(c**(-4)\/c))*c**7*(c\/(c*c**(-4\/5)))\/c)**7 assuming c is positive.\nAnswer: c**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 i when two letters picked without replacement from spwxaaix.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 13*q + 41. Let m be p(19). Suppose -2*l - 6*l + m = 0. Suppose 31*w - l*w = -295. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3 = 2*l + 5*x, 3*l - 3*x = 51. Sort 2, l, 1 in increasing order.\nAnswer: 1, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74554 is divided by 275?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 616. Let r be n(0). Suppose 0 = 2*i + 2*i + r. Let y = -98 - i. Does 28 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b - 83*b**2 + 0*b + 154*b**2 - 40 - 78*b**2 wrt b?\nAnswer: -14*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2727251311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l - 12*l + 32 + 28 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -10, -66, -176, -358, -630?\nAnswer: -1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 12\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-50)\/6 + (2 - 8\/12). Let b(l) = -l**2 + 7*l - 7. Let i(h) = -3*h + 3. Calculate j*i(s) - 3*b(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 10*p - 48.\nAnswer: 2*(p - 3)*(p + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 + -55. Let y be (-10)\/(-4) - o*2\/4. Let l = -0.44 + 0.04. Which is the closest to 4\/3? (a) l (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/199, 1\/6, 6 in descending order.\nAnswer: 6, 1, 1\/6, -2\/199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 208352 and 399024?\nAnswer: 305652384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41454045?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*j + 303*j + 368 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1354417431.40000214 - 1354417420. Let s = i + -11.4. What is s rounded to 7 decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -3*z**2\/2 - 7*z - 3. Let v be f(-14). Suppose 3*k + v - 410 = 0. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 18*v**2 - 33*v**2 + 17*v**2. Let u(b) = -4*b. What is u(x(i))?\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -2*g - 174. Suppose -1 = -n - 8. Is n greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/10 + (-4)\/(-10). Let g be 3\/(((-3)\/(-4))\/b). Suppose 0 = g*v - 2*h + 18, -4*h = -3*v - 11. Put -2, 3, v in increasing order.\nAnswer: v, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149637.4992 microseconds in weeks?\nAnswer: 0.0000002474165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 5*r - 19 = -3, 0 = 2*o + r - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 14, 50, 4, 2 in increasing order.\nAnswer: 1, 2, 4, 14, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r - 2*r + 5*r + (12 + 14 + 47)*(6*r - r + 5*r).\nAnswer: 729*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191852 divided by 2.\nAnswer: -95926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*a**3 - 3*a**2 + 5*a**2 - 3*a + 21*a**3 + 9 to o*a**3 + k*a + u*a**2 + c and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times -9700866?\nAnswer: 97008.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1828, -1838, -1864, -1912, -1988, -2098, -2248?\n\"Answer: -d**3 - 2*d**2 + 3*d - 1828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3315*g + 1575*g + 1341*g + 2)*(-g + 0*g + 3*g)*(-5*g - 5 + 5).\nAnswer: 3990*g**3 - 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 10:01 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/4)\/((-207)\/(-276)) - 300\/(-51). Which is the smallest value? (a) -2 (b) 0.3 (c) u (d) -2\/27 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 348, 348, 346, 342, 336, 328, 318?\n\"Answer: -i**2 + 3*i + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-32 - -2)\/1. Let v = b + -21. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of (1*-1731)\/(93\/(-12) + 7)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 518*j + 5 - 7 + 2 - 1500*j in the form w + m*j and give m.\nAnswer: -982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*x + 48, -3*x + 6*x = -6. Solve -l*j + 3 = -7*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(17) + 1)**2 - 5*sqrt(17)*3.\nAnswer: -7*sqrt(17) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3078*o**5 + 951*o + 1 wrt o?\nAnswer: 61560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1484 and 1484.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -12*h + 2*h + 9*h. Let x(r) = r + 1. Let p be x(4). Let c(n) = -p*n - n + 3*n. Determine y(c(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*x + 345, -4*x = 3*d - 9*x - 197. Let m = 80 - d. Calculate the highest common factor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1741514099.9999829 - -1741514439. Let s = -0.0834 - 338.9166. Let o = d + s. Round o to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 3*l + 145 - 139, -v = l + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 873590897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 10:04 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1, 89, 185, 295, 425, 581, 769, 995?\n\"Answer: p**3 - 2*p**2 + 87*p - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 73 = 22. Let x(l) = -l**3 + 18*l**2 + 18*l + 11. Let v be x(h). List the prime factors of 11 - -2*4\/v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1) - (-41)\/4. Let j = 23\/2 - d. Determine u so that 0*u + 0 + 0*u**2 + j*u**3 + 1\/4*u**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-510)\/(-115))\/(360\/(-8280))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 1258*v**2 - 20145*v - 33. Calculate g(16).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*d**2 - 13*d**2 + 37*d**2 - 7*d**2 as i + r*d + n*d**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 285.968 millilitres?\nAnswer: 0.285968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3029 - -72?\nAnswer: -2a67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 328 and 164?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from umajmji. Give prob of sequence um.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjjhjhhhhjhjjj. What is prob of picking 2 h and 2 j?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -120 - 200. Let c be t\/((-3)\/12*-2). Round c to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 44 = j, -2*k = -k - 4*j - 24. Let n be (-1)\/k + (-226)\/(-16). What is the greatest common divisor of n and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 0*m. Suppose 0 = n - j + 3, 0 = j - 0*j - 2. Which is the closest to n? (a) 4 (b) m (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4*(178\/(-8) + 2) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117992 is divided by 58877.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -204306077380 - 8?\nAnswer: -204306077388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5)\/f)**6*(f\/f**1)**(4\/15))\/((f**(-1\/3))**(-7))**(-2\/33) assuming f is positive.\nAnswer: f**(-4088\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/17710 and 34\/1213135?\nAnswer: 2426270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-13 + -14 + 11 + -3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19182 is divided by 6389?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 687331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55862 by 357.\nAnswer: 3286\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -432, -850, -1238, -1584, -1876, -2102, -2250?\nAnswer: -2308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 - 12*k - 9. Let t(b) = 246 - b**2 - 18*b + 0*b**2 + 246 - 506 - 2*b**2. Calculate -8*o(d) + 5*t(d).\nAnswer: d**2 + 6*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 0 + (0 - 0). Suppose 0 = k - 2*i + 3, -y*k - k + 3 = -4*i. Calculate the remainder when 4 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q + 60. Let p be m(-29). Let a = -3 + 4. Solve 3*w + p = 4*c + w, 0 = c - 2*w + a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**6\/60 - t**4\/24 + t**3\/6 - 2*t**2. Let z be h(1). Factor -z + u**2 - u + 2.\nAnswer: u*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17943\/3814 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/11)\/m*m)\/m*m\/(m\/(m*m**(-3\/13)))*m)**(-2\/21)\/((m*(m\/(m\/m**(2\/5))*m*m)\/m*m*m)**(-47)*((m**(-2)\/m)\/m)**(-32)) assuming m is positive.\nAnswer: m**(1181692\/15015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271861 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002792277428 to four decimal places.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - 0)*1 - 0. Let t be (-7)\/w + 8\/(-20). Let x(f) be the third derivative of 5*f**4\/24 + 3*f**2. Give x(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 2256*q - 2261*q + 204, a - 5*q + 198 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -9, -20, -31?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/9*(-18)\/(-4). Suppose y = -2*l - 6, -2 = -3*y - 0*l - l. What is the least common multiple of (-3 + 5)\/(-1 + (-9)\/m) and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 1)*5 - -21. Suppose 12*c + r - 74 = 0. Solve 10 = 3*v + 2*v + 2*g, -3*v + 32 = -c*g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-five quarters of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9208?\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1365 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8866 is divided by 522.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6500 - 6499.6. Let q be 33\/(-4) - (-4)\/16. Which is the third biggest value? (a) 0.3 (b) r (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -9. Let f = -5039325\/77 - -65444. Let t = f + 18\/11. Which is the second smallest value? (a) -2\/11 (b) t (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 108074\nAnswer: 32422.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 375809.9 rounded to the nearest one hundred?\nAnswer: 375800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/7, -2\/23, 5, 2, 0.4, 0.037766?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218431 is divided by 1530.\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 484, 963, 1434, 1891, 2328, 2739, 3118, 3459?\n\"Answer: -k**3 + 2*k**2 + 480*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2*b + 0*b)*(0 - 3*b**2 + 0)*(-3*b + 6*b**2 + 3*b).\nAnswer: 18*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*r + 100 = 285*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -1 + 1 + 2*n. Let l(k) be the first derivative of -k**6\/360 + 4*k**3\/3 + 1. Let i(y) be the third derivative of l(y). Determine g(i(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20543.\nAnswer: 20543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 22. Let x = -31 + 28. Let s = x - f. Which is the closest to -1\/2? (a) -0.5 (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*m - 404, -m - 4*q = 138 - 22. Suppose -4*v - 77 = -473. Let s = v + m. Solve -2*f = -5*f + s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 150*u + 152*u = -13, -5*w + 31 = 4*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, f: 7, z: 5, p: 1, m: 2, c: 2}. What is prob of picking 1 z, 2 m, and 1 f?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 125869 and 1528?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) - (sqrt(1377)*-1 + sqrt(1377))**2*-2) + 1 + sqrt(1377) + 5 + -1.\nAnswer: 5 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92)\/48 + 80\/(-960)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (216\/1782)\/((-8)\/(-6))*-2.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-6)*a*a**(1\/2))\/(a**0\/a)**(1\/31))**(2\/17) assuming a is positive.\nAnswer: a**(-277\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -227. Let g = k - -587. Does 22 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -700*f + 1188 = -694*f. Calculate the remainder when f is divided by 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s = -24, -227*u + 3*s = -223*u - 2*s + 27 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 23 = -0*v + 4*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 2*r**2 + 2*r**2. Let w(l) = l**2 - l - 1. Let s(c) = 32*c**2 - 28*c - 28. Let i(u) = 2*s(u) - 56*w(u). Calculate i(o(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 11. Let k be t(-11). Let y(j) be the second derivative of 0*j**2 + 1\/10*j**6 - 1\/6*j**3 + k - j + 1\/12*j**4 + 1\/4*j**5. Factor y(a).\nAnswer: a*(a + 1)**2*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q - 23. Let d be w(-45). Suppose 0*j + 2*j - 2*g = 228, j - 2*g = d. Calculate the remainder when j is divided by 37.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3116*m**2. Let j(b) = -281*b. Calculate j(i(o)).\nAnswer: -875596*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 94*q**2 + 251*q - 1066. Let p be m(-91). Calculate the greatest common factor of 384 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 5, -0.5, 1\/6, -1.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, i: 7}. Give prob of picking 4 i.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b - 3*b + 2*b)*(0*b - 3*b + b) + 4*b**2 - 5*b**2 + 0*b**2 + (-932*b + 1271*b - 676*b)*(4*b + 0*b + 2*b) in the form q*b**2 + c + j*b and give q.\nAnswer: -2027","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i, -3*h = -7*h + 3*i + 52. Put -5, -3, h, -4 in descending order.\nAnswer: h, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100011011 (base 2) in base 10?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92019583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7642*d**2 + 45854*d + 6. Determine p(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 5:40 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z - 4. Give g(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -31, -35, -57, -103, -179?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 419141249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 1550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15333*x + 15317*x = -120240. Does 62 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.400007 minutes to seconds.\nAnswer: 324.00042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*g - 50 = 0, 4*f + 48*g = 50*g - 8. Let w(x) = -6*x + 3*x**2 + 3*x**2 - 4 - 7*x**2. Calculate w(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 16. Suppose 2*v - 3 = 5*s + 7, 3*v = -15. Sort s, z, 4 in decreasing order.\nAnswer: 4, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*x - x. Let c be 2\/x + 1\/(-4). Suppose 6*y = -4*h + 46, -28 = -4*y + 2241*h - 2243*h. Solve n = a + 4, 5 = y*n - c*a - 2*a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -2*p**3\/3 + 17*p**2 + 14*p - 11313. Calculate l(17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**3 - 6*z**2 + z + 1. What is the hundreds digit of l(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 17 = 5*l - 14, 0 = 4*l - 3*b for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -z - s + 5*s, 5*s + 25 = 0. Suppose z*g - 83 - 218 = 0. Solve g - 33 = 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3645503639?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 43, 98, 163, 244, 347, 478, 643?\n\"Answer: l**3 - l**2 + 51*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 786, -5, 2, 1, 2759, -4 in decreasing order.\nAnswer: 2759, 786, 2, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 109\/55 - 24\/11. Which is the nearest to 0? (a) z (b) 0.1 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109928 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2308*s**2 - 2146*s - 122. Calculate y(1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 78 = -4*q - 154, -25*q = 100 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 r when four letters picked without replacement from {b: 3, l: 1, r: 13}?\nAnswer: 429\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-32)\/n*n**(3\/8)\/n assuming n is positive.\nAnswer: n**(-261\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l**2*m**2 + 3*l**2*m - 6*l**2 + 66*m**2 wrt m.\nAnswer: 6*l**2 + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1987*z**4 + 4*z**3 + 64*z**2 - 1667. Let w(s) = s**3 + 16*s**2 + 1. Let c(g) = t(g) - 4*w(g). Find the first derivative of c(p) wrt p.\nAnswer: 7948*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*j - 22, 3*t = 2*t + 4. Let g be (2 - -1)\/(1*-1). Put j, g, 1 in increasing order.\nAnswer: g, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 3, -2*m + 10 = 3*r + 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -80 divided by 297\nAnswer: -80\/297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 616116448 = -4*h - 3*z - 735803564, 4*h - 6*z + 1351919976 = 0. Round h to the nearest one million.\nAnswer: -338000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 1, -1, -345, -0.08 in decreasing order.\nAnswer: 1, -0.08, -3\/4, -1, -345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*j + 1071 = 20*j + 63*j for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 80 + 18 + 49 + 18 - d. Does 11 divide g(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 1266*w**5 - 11390*w**4 - 122838*w**3 + 132542*w**2 + 420*w = 0.\nAnswer: -7, -2\/633, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**3 + 28425*v**2 - 28425*v**2.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 345032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 425612?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**2 - 1. Suppose 3*c + 4 = 1. Let h be u(c). Solve -h*d - 2*s = 2, -4*d = -3*d - 2*s + 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 747574*q**2 + 623793 wrt q.\nAnswer: 1495148*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-243100)\/40755 - (-1)\/((-1)\/(-6))\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*q + 11*q - 126 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 + 3*c**3 - 5*c**3 + (-87 + 16*c + 87)*(-13*c**2 - 20*c**2 + 8*c**2) in the form s*c**3 + d + g*c + u*c**2 and give s.\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 6*a**2 - 2*a + 2. What is r(-5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, 3.1, 10, 3, 0?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 44328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 3*j. Suppose j*o + n + 5 = -2*o, 5*n + 25 = 0. Suppose 5 = a + 3*b, -4*b + 5 = 1. Solve -5*w + a*d + o + 3 = 0, 2*d = -5*w + 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6165?\nAnswer: 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-254538)\/553)\/(6\/(-28)). Calculate the highest common divisor of 24 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 4*r - 2*k + 12, 2*r - 15 = -3*k. Let b(q) be the first derivative of -6*q - 9 - 2*q**r + 1\/4*q**4 + 3*q**2. Give b(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -15*t**2 + 24*t - 24. Let f(n) = 32*n - 5*n - 5 - 3*n**2 - 4*n - 13*n - 5*n. Suppose l - 44 = 3*l + c, -3*l = 5*c + 52. What is l*f(p) + 5*d(p)?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 11:38 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -6*y + 11*y - 1535, 1185 = 3*n - 3*y. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -10 + 2. Suppose m = -a*m. Suppose -3*y - 3*x + 105 = m, -2*y + 2*x = -0*y - 78. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 512 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 25, 0*b + b + 4*i = -19. List the prime factors of (-1650)\/132*32\/(-10)*b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5*(-4 + (sqrt(252) - (sqrt(252) + -4))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + (-44)\/(-12) - 4)*-21 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 4:34 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -164 + 163.9. What is the closest to -0.1 in 4, s, -0.06?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65 - (99 - 20)) + -76.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 2, 21, -1, 0, -41.\nAnswer: -41, -3, -1, 0, 2, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 408 and 680?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g - 3. Let x be a(2). Suppose -5*n + x = -10. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 5*z**5\/2 + 47*z**4\/2 - 1259*z**3\/2 + 865*z**2\/2 + 3531*z = 0?\nAnswer: -107\/5, -2, 0, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -131960.6158 from -0.03.\nAnswer: 131960.5858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 31. Suppose 5*o + 11 + 24 = 2*f, -2*f = 4*o - 44. Is g > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04831 rounded to three dps?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -33?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*y + 773 - 456 = -1255 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {m: 7, l: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 3*v + 1. Let z be ((-3)\/(-3))\/(3\/9). Suppose 4 = -2*f - r - 2, 5*f - z = 2*r. What is k(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 226 = 5*y. List the prime factors of y.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j*p*s**2 - 42*j*p - p + 5*s**2 + 3 wrt j.\nAnswer: p*s**2 - 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p**3\/p)\/p)*p)**(-11))**(5\/6)\/((p**(-3\/8)\/(p\/p**(1\/8)*p*p))\/((p*p\/(p*p**(-8)\/p)*p)\/(p*p*p**(1\/8)*p))) assuming p is positive.\nAnswer: p**(47\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + -1*(0 + -1*(sqrt(19) - (sqrt(19) + sqrt(171) + sqrt(19)))*6)).\nAnswer: 3 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 16*r**2 - 40*r + 75. What is h(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13, 3, -0.5, 8, 2\/15?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbx when three letters picked without replacement from {s: 4, x: 3, b: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0303713 to 3 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/306)\/(-4*(-3)\/48*1)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98121?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 5*t - 25, -j + 5*t = -3 - 14. Let a be (16\/(-12))\/(j\/(-12)). Solve v + v = -a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s - s - 25486 + 24933 + s as f*s + v and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85210 and 51126?\nAnswer: 255630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 11 = -3*q, -2*d + 16 = q + 5. Solve -3*v + 2*v = -2, g + 7 = d*v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, s: 2, p: 2, k: 2}. What is prob of picking 2 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*j, 2*k + 3*j = -k - 12. Let f = 0.5 - 0.8. Let l = -0.5 + 0.54. Sort l, k, f in ascending order.\nAnswer: k, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129\/(-9)*-3 - 3 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319533?\nAnswer: 3, 43, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177699*b + 354025*b - 178597*b.\nAnswer: -2271*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -9.908?\nAnswer: 3.9632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i. Let t(x) be the third derivative of -x**7\/1260 - x**4\/12 + 3*x**2. Let z(p) be the second derivative of t(p). Calculate z(r(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16228578 and 5409526?\nAnswer: 16228578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 8*g - 6. Let x be t(-5). Let n(j) = j**2 - 9*j + 4. Does 4 divide n(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102\/35 - -16\/5. Do h and -35\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzzzghdhhzghzhhhhdgh. What is prob of sequence hzzz?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4860, -4855, -4838, -4803, -4744, -4655?\nAnswer: -4530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -864138, -1728280, -2592424, -3456570, -4320718, -5184868?\n\"Answer: -a**2 - 864139*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 9212?\nAnswer: 27636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -14. Suppose 14 + 1 = 3*j. Let y be ((-5)\/(-40))\/(1\/2). What is the nearest to y in u, j, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 1\/7 (c) 2\/9 (d) -304 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 18 = -2*h. Suppose -16 = -10*t + 4. Find the third derivative of 5*u**h + 22*u**2 + 18*u**6 - 19*u**t + 13*u**2 wrt u.\nAnswer: 2760*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -14\/11, -2, -0.4, -70 in decreasing order.\nAnswer: 1\/2, -0.4, -14\/11, -2, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -24, -16, -6, 6, 20?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - -22 - ((-1 - -1) + 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 49*y + 1 + y.\nAnswer: 50*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15631 is divided by 11109?\nAnswer: 4522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 226.\nAnswer: 225.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -222 by -1.\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0684105774 to 5 dps.\nAnswer: 0.06841","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from yyb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 247, 1, -5, -9, 26, -4 in increasing order.\nAnswer: -9, -5, -4, 1, 2, 26, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7244 is divided by 1809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -6.9. Which is the nearest to u? (a) -1\/6 (b) -2\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8 + y**3 - 3*y**2 + 10*y**2 - 7*y**2 wrt y?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7009678 and 663.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1)*(-40 + 5750*d - 36 + 2460*d + 76) as g + x*d and give x.\nAnswer: 16420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u - 3*m - 6 = -10*u, m + 13 = -5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.49 and 33013.\nAnswer: -16176.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.2 + 3. Let k = 201 + -199.9. Let i = h - k. What is the biggest value in -1\/4, 4, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*c - 17112 = -0*c - 259*c for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1512*h - 1504*h - 32 = 0. What is the smallest value in 0.8, h, 37, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.3, 13\/188, 0.8 in decreasing order.\nAnswer: 0.8, 0.3, 13\/188, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yycyzyzcczfczzz. What is prob of picking 1 y and 3 c?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -36, -0.1, 0.3?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j**3 - 13*j**3 - 10*j**3 + 55*j**2 + 54*j**2 + 42*j**3 - 117*j**2 - 10*j**3.\nAnswer: -5*j**3 - 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49130 is divided by 6141.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*g = 141*g. Suppose g = 3*a - 3, -3*a - 1 = 3*b - 4*a. Solve b = -f - f - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 804*p**2. Let m(x) = 41*x**2. Calculate v(m(l)).\nAnswer: 1351524*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-238*(-1)\/(-4))\/(28\/(-16))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*k**6 + 14*k**2 + 6*k.\nAnswer: -600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -291915428051484?\nAnswer: -291915428051484.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1206\/(-12)*(-2)\/(-3). Let n = -21 - s. What are the prime factors of n?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2461\/1070*-10)\/(((-6)\/(-2))\/(-6)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a week in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 13*x + 407. Let g(a) = 7*a**3 - 6*a**2 + 8*a - 4. Let l be g(2). What is the tens digit of i(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130336.315 rounded to the nearest ten?\nAnswer: 130340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4245 (base 15) to base 7.\nAnswer: -55601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96228 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -13. Which is smaller: g or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1180\/53707 or -1?\nAnswer: -1180\/53707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106626835 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 1)*(-6 + 1 + 0)*(-5*k + 2*k + k)*(5 - 1 - 2)*(-2 + 5 - 2) in the form t*k + d and give t.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2284.\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 23. Let k be ((-36)\/45)\/(1\/u). Suppose -k*i + i - 118 = -5*m, i + 1 = 0. Calculate the remainder when m is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4315 - -4352. Calculate the highest common divisor of 2257 and m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1628 + 74 = 5181738*t - 5181696*t for t.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212648?\nAnswer: 2, 19, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/4))**(-11\/2)\/(m**(1\/4))**(-25\/4))\/((m*m*m**(2\/5)*m)**20*(m*m\/(m**7*m*m))\/(m*m**1*m)) assuming m is positive.\nAnswer: m**(-925\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 - 5*y**3 + 5*y**3 - 3*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (141\/(-1))\/((-37)\/(-37)). Let c = r + 153. Which is smaller: c or 74\/7?\nAnswer: 74\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-10)*64170\/5704.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 1428*j**2 - 216*j + 1049. Is o(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 16*m**2 + 536*m**3 + 299*m**4 - 298*m**4 - 535*m**3 to g*m**4 + n*m**2 + z*m**3 + i + x*m and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*3*4\/((-108)\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**3*t**5 - 6*n**3*t + 2*n**2*t - 13*n*t + 284*t**5 wrt t.\nAnswer: -40*n**3*t**3 + 5680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 > 10.688635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**4\/24 + 11*p**3\/6 + 3*p**2. List the prime factors of h(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -27*y**2 - 7*y + 23. What is o(2)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 222636005\/531 + -419277. Let l = q + -4\/59. Which is smaller: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + p**2 - p - 79. Let y be f(0). Let z = -54 - y. Suppose -3*u + 0*s + 13 = -2*s, 5*s = -4*u + z. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.1 (c) 0.2 (d) 1\/583\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.01, 2\/13, -2\/7, 1\/2, -0.4, 0.11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -65f (base 16) in base 4?\nAnswer: -121133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2 - 45649*z = 0.\nAnswer: 0, 45649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18657 > 18655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = x + 1, 0 = -3*u - x - 3*x - 6. Solve -7*d + 2*d = -5*c + 30, -2*d - 4 = u*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316, 581, 848, 1117, 1388?\nAnswer: 1661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 4, -2\/13, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + 3*sqrt(63) + -2 + sqrt(63) + 2 + -5).\nAnswer: -21 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*2*1\/(-2). Suppose 0*r - 20 = -r + 4*m, 3*r + 2*m - 4 = 0. Let c be (-4)\/(-8) + r\/(-16). Put 1, z, c, 0.2 in decreasing order.\nAnswer: z, 1, c, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 + 0*r + r + 5*r**4 - 2*r**3 + 35*r**4 + 3*r**3 - 2*r**4 wrt r.\nAnswer: 456*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 400 and 1025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from rggrr.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/36 and -27\/8680.\nAnswer: 78120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 348*k**3 + 22*k**2 + 23*k. Determine s(-1).\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8722852 by 75197.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*p + 3 = 15, p - 8 = -2*b. Suppose -f = v + 1, -6 = 2*f + b*v + v. Let k be 6 + -1 + 0\/f. Solve -4*d + k*d = 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2205630278 to the power of 1\/3, to the nearest integer?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) - (sqrt(176) - (sqrt(176)*1 - sqrt(176)))*6)\/sqrt(8))\/(sqrt(297)\/sqrt(3) - sqrt(528)\/sqrt(3)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*x - 7. Suppose -2*f + x*f = 12. Solve -2*m - 2*k = -f, -m - 7*k - 10 = -2*k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h. Let j be y(4). Suppose s + j = 45. Suppose 2 = n - 1. Solve -n*i + s = -5*o, -2*o = -i - 3*i + 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n - 137514496 + 3*n + 137514496.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**4 - 45*z**3 - 105*z**2 + 405*z - 284. Let n(u) = u**4 - 15*u**3 - 35*u**2 + 135*u - 94. Let m(r) = -7*n(r) + 2*v(r). Let m(s) = 0. What is s?\nAnswer: -3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -110, 0.\nAnswer: -110, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 969 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 8:08 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, a: 5, m: 2, g: 2}. Give prob of picking 2 a.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 135 + 145 = -4*p, -5*p = j + 9. Let m(x) = 2*x**3 - 7*x - 7. Let c = 6 + -13. Let b(v) = -2*v**3 + 2 + 0*v**3 + v**3 + 2*v. Give c*b(q) + p*m(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0.2. Let w = 1.9 - 2. What is the nearest to w in r, 0.1, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1, 1\/2, -0.118, 2, -0.3 in increasing order.\nAnswer: -0.3, -1\/4, -0.118, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 90 = -5*r - 8*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12, 143, 396, 801, 1388, 2187, 3228?\n\"Answer: 5*i**3 + 31*i**2 + 3*i - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 10 = -3*p, 0*u + 5*p + 42 = -2*u. Let w(q) = 9*q + 10. Let n be w(u). Let i = 177 + n. List the prime factors of i.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 4 - f**2 + 3*f**2.\nAnswer: 2*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 201255 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a + 1. Let s(p) = -p. Let f(u) = -6*s(u) - 2*v(u). Suppose w + 20 = -4*w. What is f(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23218 - 7679. Suppose -z - 12426 = -4*p, 7*z - 5*z = -5*p + s. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 706.31 - 711. Let f = -4.89 - r. Which is the closest to -1? (a) 0.16 (b) 2 (c) -2 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 41*p - 412. Let v be h(-24). Sort 5, 3, 14, v in decreasing order.\nAnswer: 14, 5, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1634 = -8*x + 2046. Suppose -3*g + x = -0*u + 4*u, -5*u + 574 = 4*g. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -623, -901, -1179, -1457?\n\"Answer: -278*q - 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -1\/40*f**6 + 0*f + 0 - 1\/8*f**4 + 0*f**5 + 3*f**2 + 0*f**3. Find the second derivative of n(z) wrt z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 8*n**2 - 6*n + 12. Let m be j(-7). What is the greatest common divisor of m and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 4:15 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3318*u + 234825. Determine l(-71).\nAnswer: -753","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**2 - 2. Suppose -2*b + 9 = -3*y, 3*b = -y - 3*y + 5. Let n(c) = 29 - 54 + 25 + b*c. Calculate w(n(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l + l + (2 + 0 - 1)*(l - 2*l + 2*l) - 6*l + 3*l + 0*l)*(2*l + 0*l + 2*l).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 7*u**2 + 3*u - 2. Suppose -2*t = -x - 9, -3*t - 2*x = 2*t - 36. What is the remainder when r(t) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -21*k**3 + k**2 - 4*k + 3. Calculate u(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224832?\nAnswer: 2, 3, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4976*p - 4996*p + 311820 = 0. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -23. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -25768\/15121?\nAnswer: -25768\/15121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h**2 - 2*h**2 - 3*h**3 + 7*h + 7*h**3. Let k(i) be the first derivative of -i**4\/4 + 2*i**3\/3 - i**2 - 12. Calculate -2*c(d) - 7*k(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c + 1. Let v(h) = h**2 + 6*h + 6. Let g(m) = 6*p(m) - v(m). Let y(k) = -3*k. What is g(y(l))?\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) 2 (c) 3 (d) 1.89 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/5)\/y)**31 assuming y is positive.\nAnswer: y**(-279\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(19) - sqrt(19)*1*-6) + (-2 + sqrt(2736))**2 + -3.\nAnswer: -90*sqrt(19) + 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -19*x**4\/4 + x**3\/3 - x + 4. Is h(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 3*z**2 + z**2)*(576 + 105 - 7*z - 4878).\nAnswer: -14*z**3 - 8394*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.31 + 0.31. Which is the closest to f? (a) -0.3 (b) 2\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 902*r**3 - r**2 + 517.\nAnswer: 5412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1466 - 1461. Solve -5*n + 4 = -q, 3*n - r*n = -3*q - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33080387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(sqrt(390)*2 + sqrt(390) + sqrt(390)) + sqrt(390))\/sqrt(10))\/(2*sqrt(243)*-2) + 0)**2.\nAnswer: 4693\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*a + a - 2*a)*(-3 + 3 - 2*a) - 8*a**2 + a**2 - 3*a**2 - 2 - a**2 + 2 + (7*a + 16*a + 39*a)*(-4*a - 3*a + 5*a))*(-a - 2 + 2).\nAnswer: 139*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - 3) + 4 + 1. Is 24 - (1 - r - 6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*h + 216 = 64, -5*h = 4*d - 132. What is the remainder when 80 is divided by d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 922 at least -262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (45*i**2 - 95*i**2 + 42*i**2)*(0 + 0 + 2) in the form o + j*i + y*i**2 and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -2\/5, -489?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5044 divided by -4?\nAnswer: -1261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2\/5))**(6\/11)\/(s**(1\/3)*s\/s**(-1)))**(27\/5))**(-2\/11) assuming s is positive.\nAnswer: s**(7578\/3025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5572370 - -18560266.\nAnswer: 12987896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4539*k**2 + 4113*k - 4114*k - 1126*k**2 to p*k**2 + o*k + a and give p.\nAnswer: -5665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 293?\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -118, -242 in descending order.\nAnswer: 4, 0, -118, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2450616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence htd when three letters picked without replacement from dzbtthh?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -g - 4. Let c = -86 - -87. Put g, 1\/7, c in ascending order.\nAnswer: g, 1\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, g: 3, y: 7}. What is prob of picking 3 y?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -316 divided by -4?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*j**5 + 0 + 0*j**2 + 0*j - 9\/2*j**3 - 4*j**4.\nAnswer: j**3*(j - 9)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 - 9370950*b**3 + 4391259936965*b**2 - 491732954554800*b + 13767699932329280.\nAnswer: 5*(b - 937039)**2*(b - 56)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3700236?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-4) - (-592)\/(-64). Let h = -12 - z. Let b(t) = -2*t + 3. List the prime factors of b(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 49 = -41. Suppose 7*o - o = v. Is 6 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1868*l + 1921 with respect to l.\nAnswer: -1868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261161 is divided by 130563?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 q, and 1 j when four letters picked without replacement from qqkjq.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-2))\/(2\/100). Find the second derivative of 13*q**2 - 3 + 3 + 42*q - n*q wrt q.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.36 * 0.6\nAnswer: 0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4501294 to the power of 1\/2, to the nearest integer?\nAnswer: 2122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96924984.\nAnswer: 2, 3, 13, 41, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 + -17*(-6592)\/4896)\/((-4)\/126).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.5, 1, 2045055?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(2\/7))\/u)\/u**(4\/9))\/(u**(-2\/23)\/u*u**(-6))*(u\/(u**(1\/4)\/u))**(2\/3)\/(u\/u**(-6)*u\/(u\/u**(2\/7))) assuming u is positive.\nAnswer: u**(335\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1002483 and 783?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1286 = 260*h - 1054 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -187 + 195. Suppose 4*t = -p + c*t - 368, -t = 3*p + 1039. Is p < -349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a662 (base 11) to base 13.\nAnswer: 20548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 16. Calculate t(14).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*h - 317 - 14*h + 38*h - 7*h in the form v*h + w and give w.\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 126\/15 + (-14)\/35. Suppose -s = -28 + m. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 915, 1826, 2737, 3648?\n\"Answer: 911*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70 - -73. Suppose -j = 3*z - 102 - 228, -435 = -4*z - c*j. Let s = 210 - z. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 2517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -175*y - 789. Let j be t(-5). Which is greater: 88 or j?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -22*c - 4. Let q(g) = -65*g - 10. Let o(w) = -3*q(w) + 8*u(w). Determine o(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-12))\/(((-476)\/51)\/28).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*1\/3*-3 - -1703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of h**3 + 9*h**2\/2 + 5*h - 3648. Give t(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1908 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c - 5*c**3 + 11*c - 5*c**3.\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/((-21)\/(-6))*-2. Let z be (-1 - -3) + (-4)\/(-2). Solve -5*g - z*d = -3*d, -p*g = -d + 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*b + 3*q + 13, -b + 3*q = 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + sqrt(1331) + 2 + (1 + sqrt(11) + 1)**2.\nAnswer: 17 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**4 - 174*f**3 + 3447*f**2 - 7926*f - 11544 = 0. What is f?\nAnswer: -74, -1, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o - 11*o + 36*o = 0. What is the fourth smallest value in -2, -4, -23\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -814*f + 4306 = 322*f - 1949 - 13057 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 12 = -4*i, 2*i + 4*k - 6*k = 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -21*s**2. Let u(i) = -12*i - 3. Let t(z) = -18*z - 18. Let w(g) = 2*t(g) - 12*u(g). Calculate w(y(o)).\nAnswer: -2268*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6466 and 98209.\nAnswer: 11981498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -21850*u + 436953. Determine v(20).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*3\/6 + 21 - 289\/(25143\/1044)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1144365.\nAnswer: 3, 5, 23, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 5:53 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 535, 1060, 1575, 2080, 2575?\nAnswer: 3060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 1:03 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**2\/3 - 103*f\/3 - 104\/3 = 0.\nAnswer: -1, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1\/3))**(-3\/19)*(x*x**(2\/9)*x)\/x**9 assuming x is positive.\nAnswer: x**(-1195\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**2\/5 - 66*q\/5 - 144\/5 = 0 for q.\nAnswer: -2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**5\/20 - 5*o**3\/6 - o**2. Let f(p) = p**2 - 1. Let j(l) = -4*f(l) + n(l). What is the derivative of j(h) wrt h?\nAnswer: -14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5448703*j - 1633964.\nAnswer: -5448703","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 81 = -4*t + t, -5*x + 125 = -5*t. Let q = -13 - -2. Let w = q - t. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 4*s - 8. Suppose 9 = -i - 3*n, -2*n - 14 = 4*i + s. What is the units digit of -1 - (-13 - i)*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 78189*s + 1094641. What is t(-14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 771 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -79620?\nAnswer: -79621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 3*a - 16616, 13*s - 20793 = 8*s + 2*a. List the prime factors of s.\nAnswer: 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - ((-2366)\/18)\/13\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -25. Suppose -12 = 4*x + 5*q, -4*x - 6 = x + u*q. Solve 3*p + 2*b - x = p, 11 = 5*p - b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + (-2 - -1))*4. Let p = y + 6. Suppose -p*h = -h + 350. What is h rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-3*5*sqrt(84) + sqrt(84)))\/(sqrt(12)*-1*-1 - sqrt(84)\/(1*sqrt(7) + sqrt(7))))**2.\nAnswer: 137200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one halves of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a meter in centimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -219*j**3 - j**2 - 4*j - 2. Let t be n(-1). Suppose -t = -155*b + 154*b. Calculate the smallest common multiple of 8 and b.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*o + 2*o = -16, 3 = -o. Let d be (15\/(-6))\/((-50)\/40). Suppose -5 = w - d*y + 3, -2*w + y = z. Which is smaller: w or 12\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 5*i**2 + i + 3. Let g be b(-5). Is (g + -1)\/(6\/(-76)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 0*s**2 + 0 + 19*s + 0*s**3 - 1\/12*s**4. Let b(l) be the first derivative of -17*l**2\/2 - 10. Give m(b(t)).\nAnswer: -289*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 194 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - t - 1 - 2*t**2 + 0*t**3 - 2*t**2 + 3. What is the units digit of w(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2239703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 + 13*r**2 - 13*r**2 + (3 - 3 - r**3)*(1 - 1 + 2*r).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**5 - 3 + 3 + 0*u**5 - u**5 - u**5 + (5*u**3 + u**3 - 4*u**3)*(2 - 2 + 2*u**2) - 2*u**5 + u**5 + 2*u**5.\nAnswer: 6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89333, 1\/5, -0.1, 1 in increasing order.\nAnswer: -0.1, 1\/5, 1, 89333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74805 - 74865 = -5*n + 5*f, 26 = 3*n + 2*f for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*c**5 - c**4 - 12604*c**3 - 4265304*c?\nAnswer: 220*c**3 - 12*c**2 - 75624*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -45516.\nAnswer: -136548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqggqqgtqtt. Give prob of sequence qqg.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1309483.09000028 - 1309483. Let o = u - 0.09. Round o to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-15)*(-1125)\/900?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -20 - 43. Suppose 4*h = -4*x + 44, 2*h + 3 = 3*x - 0. Calculate the least common multiple of h and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35127767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -13*d**3 - 1 - 10*d**3 - d - d**2 - 20*d**3. Let b be (-4)\/(-10) + 14\/(-10). Does 21 divide h(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1897*a**3 - 6054*a**2 wrt a.\nAnswer: 11382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -104, -253, -462?\nAnswer: -731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.649 rounded to 1 dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 17*x - 11. Let v be r(16). Let s(y) be the first derivative of 0*y**v - 1\/3*y**6 + 0*y - y**2 + 0*y**3 + y**4 + 3. Factor s(k).\nAnswer: -2*k*(k - 1)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t + 0 + 0 - 3 + t + 3 + (-2 - 4 + 4)*(0*t + 2*t + 0*t) + 5*t - 5*t - 4*t to the form h + p*t and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 o when three letters picked without replacement from ssssosssssososssso.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -151, -608, -1363, -2410, -3743?\n\"Answer: a**3 - 155*a**2 + a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 2 - (6 + -4 - (-9 + 4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) - (sqrt(1512)*-1 + sqrt(1512) - sqrt(1512))) + (sqrt(3402) - sqrt(3402)*1))\/(((sqrt(300) + sqrt(300)*-2)\/sqrt(5))\/sqrt(10)).\nAnswer: -7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 8 = -2*r, z - 4*r - 4 = -2. Let l be z\/8 - 405\/(-108). Which is the smallest value? (a) -1\/2 (b) -0.3 (c) 2\/7 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + y + 3. Let r be t(0). Let o = r - 2. Calculate the remainder when 118 is divided by 12\/(8\/20*o).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u**2 - 5*u**2 + 2*u**2)*(5*u - 3*u - 5*u)*(1 - 7 + 4) + (u + 3*u - 2*u)*(u**2 + 7*u**2 - 2*u**2) in the form v + r*u**2 + x*u + j*u**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1+-23053.508830142\nAnswer: -23054.508830142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8282158.\nAnswer: 2, 4141079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 323565352 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-21)\/20)*((-6)\/(-95))\/((-912)\/1368).\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 1. Let t(s) = s**3 + 8*s**2 + 5*s - 3. Let n be t(-7). Let p = -1 + n. Let f be r(p). Which is the biggest value? (a) f (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d + 69. Let z(s) = -6*s - 277. Determine -9*n(w) - 2*z(w).\nAnswer: -6*w - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -351, -1352 in decreasing order.\nAnswer: -3, -5, -351, -1352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 2*s**3\/9 - 125*s**2\/3 + 747. Determine i so that y(i) = 0.\nAnswer: 0, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, x: 3, w: 3}. What is prob of picking 1 x and 2 w?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256 + 265 - 125*z + 27*z**2 + 275 - 796.\nAnswer: 27*z**2 - 125*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 16*w. Let l(b) = -10202*b**2 + 104. Determine q(l(z)).\nAnswer: -163232*z**2 + 1664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 6. Let v be (-2)\/(-72) - w\/9. Factor -1\/2*r**3 + 0*r - v*r**4 + 0 - 1\/4*r**2.\nAnswer: -r**2*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -9. Let g(y) be the third derivative of -y**7\/2520 - y**5\/20 + 4*y**2. Let w(c) be the third derivative of g(c). Give w(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 + -229cdd?\nAnswer: -229d11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184000 + 184000 + 2*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -14*o - 3. Give d(-8).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 19*l**6\/60 + l**4\/12 - l**3\/6 - 2*l**2 - 1090*l. Calculate g(1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -25*z**3 + z**2 + z. Let k be 1 - (12\/(-3) - -7). Is g(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 744 and 3055368?\nAnswer: 94716408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -b + 3*b. Let p = -1 + b. Suppose 0 = -5*t - 4*i + 112, 0*i = p*t - i - 57. What is the remainder when t is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 2*j - 22 = 11*s, 19 = 2*s - 5*j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-21)*114\/15 - 2. Let y = -37\/84 - f. Is y less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/8938 - -40247\/232388. Let p = g + 1\/13. Which is the smallest value? (a) -5 (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, 107, 601, 1605, 3281?\nAnswer: 5791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/63)\/((-5 - (-555)\/108)\/(-411 + 406)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -137, -162, -205, -272, -369, -502?\nAnswer: -677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(2 + -3) + -2. Let d = 6 - k. Solve -2*l + d - 1 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -14*g - 1. Suppose -2*t + 0 = 2. What is the tens digit of b(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 y, and 1 x when four letters picked without replacement from yixrwxwixyxwwxxxixy?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 97 in 0.2, -74, 3, -2, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*n = -5*v + 332, -n + 2*n = 4*v - 281 + 253 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*p - 179 = 0, 3*p = -0*b + 3*b - 165. Is 60 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x + 17. Let u be n(-11). Let w = u - -86. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 992 + -983. Solve -8*z = -j*z + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/9 and -43\/73?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/7 - 34\/35. Let p = 0.1 - 1.4. Let g = 0.3 + p. Which is the second smallest value? (a) g (b) f (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (14\/42)\/(1\/15). Solve t*o + 4 = 29 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(5\/12)*42\/28. Calculate the highest common factor of m and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4ccb3 (base 16) in base 6?\nAnswer: -10424123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -579.9 and -1869.\nAnswer: -2448.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 g when four letters picked without replacement from {g: 2, o: 7}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10598 divided by 7?\nAnswer: 1514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-8)\/(-12) - -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.902121km to millimeters.\nAnswer: 9902121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-four fifths of a millennium?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3725 is divided by 1862.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-10 + -1 + (-22 - 0) + 34 + 60)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 217.9 and 607.\nAnswer: 132265.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*w = 3*r - 953, -2*r + 572 = -3*w. Let z = 406 + w. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 5 = z, 13*z + 4*o = 18*z + 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1230?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-2)\/(-1))*(-3)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -683378*k - 26740080.\nAnswer: -683378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1258, -1262, -1268, -1276, -1286?\n\"Answer: -p**2 - p - 1256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/3 - 12*x**3 + 299*x**2\/3 + 112*x.\nAnswer: x*(x - 21)*(x - 16)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 0 + 7\/30*n**5 + 0*n**3 + 0*n + 0*n**4 + 15*n**2. Let x be h(1). Solve 2*v - x = -2*v + 2*f, -v + 5 = -2*f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-22) - (-469208)\/367125)*-3.\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -40, 5, -1\/8917, -0.4 in descending order.\nAnswer: 5, 4, -1\/8917, -0.4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -12. Let g be (-12)\/(-16) - (-14)\/k. Is 10 a factor of (-26)\/g - (-8 + 7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -172567*l**2 - 4*l. Let u(x) = -3*x**2. Calculate i(u(c)).\nAnswer: -1553103*c**4 + 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 7:27 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1552 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 the thousands digit of 10723?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*l = -53737714 + 53784006 for l.\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**2 + 2540. Let g(m) = -21054*m**2. Determine o(g(s)).\nAnswer: 42108*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y - 3090 - 738 = 0. List the prime factors of y.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 + 109. Suppose -3*w + 3*t - d = 0, 4*w + 5*t - 3 + 30 = 0. Let n(z) = -1 + 5*z - 3 + 4*z. Let i(q) = 4*q - 2. Calculate w*i(a) + 6*n(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -a54131?\nAnswer: a54134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1283*g*m**2*n - 4*g*m*n + 1092*g + 168*m**2*n + 3*m - 4*n wrt m?\nAnswer: 2566*g*n + 336*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 0*y**6 + 0 + 0*y**2 + 11\/42*y**7 + 0*y**5 - 9\/4*y**4 + 26*y + 0*y**3. Find the third derivative of f(u) wrt u.\nAnswer: 660*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b + 4. Let t be 32\/12 + (0 - 3\/(-9)). Let q be z(t). Differentiate -4 + 3 + q*j**2 - 14 with respect to j.\nAnswer: 20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 8*q**4 + 426*q**3 + 6306*q**2 + 16550*q + 3750 = 0.\nAnswer: -25, -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/7 + 52*n\/7 + 667\/7.\nAnswer: (n + 23)*(n + 29)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven eighths of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -741 divided by -108.\nAnswer: 247\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-147)*14*(-624)\/(-40)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**2 + 5*s**2 - 4*s**2)*(-1 + 2 + 1) - 2*s + 2*s + 2*s**2 - s**2 + 5*s - 5*s as f + j*s + r*s**2 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 8, x + 1445 = -3*f + 3*x. Let t = f + 802. What is the remainder when t is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -18*i**2 + 3 + 6*i - 10 - i**3 - 2*i. Let y = 3487 - 3507. Is b(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 9. Suppose -3*r + 3*n = -342, 0 = -z*r - 3*r + 4*n + 568. What is the greatest common divisor of 28 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 18. Suppose -6*z + z + 5*h = -10, 8 = 3*z - h. Calculate the remainder when z is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1419750*k**3*y**2 - 146*k**3*y + k**3 + 21*k**2*y - 2 wrt y.\nAnswer: -2839500*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 182 + 42 = -13*m. Solve -3*x + 25 = -2*h, h = 9*x - m*x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*p - 9 = 36*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/40 - -1*(-3 - -2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 9*a = -5500. Let z = a + 154. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 2*d**2 + 2*d - 1. Let q be g(-7). Let o = 493 + q. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2258, 0.6, -0.06.\nAnswer: -2258, -0.06, 0.6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -251*f + 1512. Let r be g(6). Let n(a) = -4*a**2 + 17*a + 2. Let d(s) = -s**2. Give r*d(m) - n(m).\nAnswer: -2*m**2 - 17*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 79 = 22*t. Suppose 0 = 2*y + 2 - 4. Calculate the remainder when 21 is divided by (-8)\/(y\/((t - 7) + 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**4 + 0*x**4 + 6*x**5 + 0*x**5 + (-2*x + 2 - 2)*(-4*x + 4*x - 11*x**4).\nAnswer: 28*x**5 - 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -2\/55, -3?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.0101014 and -2.24.\nAnswer: -4.2501014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/2043427 and -25\/106831?\nAnswer: 96041069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + n + 1. Let o be x(-1). Let d = -2 + 1. Let q be (d + (-1)\/(-1))\/o. Solve 2*v = -q*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2361 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 4*o - 5. Let b be t(6). Let d = 39 + -34. Let v(s) = -3 - d + 18*s - s**2 - 21*s + 11*s. Determine v(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/4 of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 1)*(2*o - 2*o + 2*o**2) + 7*o**2 - 6 + 6 + 3 - 3*o**2 + 5*o**2 - 1 to x + t*o**2 + y*o and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 940 = 4*c - x, -2*c - c + 704 = -x. Let d = -88 + c. List the prime factors of d.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*sqrt(288) + 1 - ((sqrt(10) - (sqrt(10)*4 + sqrt(10)))\/sqrt(5) + 6*(sqrt(2) - -2*sqrt(2)))**2.\nAnswer: -393 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 8:05 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2139\/483 - (-2)\/((-42)\/9). Solve w*j + 0*j = 3*q - 7, -5*q + 31 = 3*j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0, -16, -3 in ascending order.\nAnswer: -16, -3, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35688*w**3 + 20274*w**2?\nAnswer: -214128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53104, 106208, 159312, 212416?\nAnswer: 265520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2 and (144\/330624)\/(1\/(-6802)) + 1 + 2.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 544?\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-10))\/(1 + (-54)\/60). What is the remainder when 63\/18 - c - 933\/(-6) is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -7*y - 4 + 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*c + 37*c + 5*c**2)*((-3*c**2 + 0*c**2 + 2*c**2)*(-2 + 2*c + 2) - 5*c**3 - 3*c**3 - 2*c**3).\nAnswer: -60*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 946, 1880, 2804, 3718?\n\"Answer: -5*p**2 + 949*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 105, 206, 299, 384, 461?\n\"Answer: -4*b**2 + 113*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m + 5. Let o(c) = 6*c - 9. Let u(a) = 4*o(a) + 7*w(a). Let k be 1 + (0 + -3 - -11). Suppose -3*x - 13 = -0*j - 4*j, 2*j = -x + k. Calculate u(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 11:32 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (385\/(-112) - -4)\/((-6)\/72).\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -q - 3, 5*q + 3*b = -b + 13. Let p(o) = 8*o - 4. Let j be p(q). What is the third derivative of -9 + j*l**2 + 9 + 11*l**2 + 19*l**4 wrt l?\nAnswer: 456*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**6\/120 + t**5\/12 + t**3 + t**2. Calculate the remainder when 5 + (-64)\/(-12) - (-2)\/(-6) is divided by l(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 524 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -122254?\nAnswer: -122264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/89952 and -79\/9597?\nAnswer: 287756448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(8 + -1)\/(-1). Let f(y) = -12*y + 0 + 19*y - 111*y**3 + 6*y**2 + 0 + 60*y**3 + 50*y**3 - 3. What is f(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -380 + 546. List the prime factors of d.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12477 divided by 3?\nAnswer: -4159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p + 5. Let h(c) = 20*c + 14. Let v be (3\/(-1)*1)\/(162\/378). Let x(w) = 2*w + 18. Let f be x(v). Calculate f*h(a) - 11*k(a).\nAnswer: 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*c*c\/c**(-29\/4))\/c))**(-3) assuming c is positive.\nAnswer: c**(99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17686706, 35373423, 53060142, 70746863, 88433586, 106120311, 123807038?\n\"Answer: y**2 + 17686714*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-210)\/(-7))\/(-5)*-6*(-4)\/(-72)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(4\/(-10)) + -2. Suppose -q = -f*c + 166, -8 = -q - 3. Calculate the remainder when c is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*m - 5*k, -2*m + 5*k + 31 = 2*m. Let q = m + -12. Solve -o - 2*x + 8 = 0, 4*o + q*x = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 2. Suppose -7*m - 20 = -111. Suppose n*l - x = x + m, 5*x = 5. Calculate the greatest common divisor of l and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 98*h**2 - 1446*h - 331. Let d be w(-111). Factor 4\/11*g**d + 0 + 1\/11*g**3 + 0*g.\nAnswer: g**2*(g + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in 5, 15.9, 2, -3\/73, -2\/5?\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 43 divided by -6\nAnswer: -43\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 451*w**2 - 768*w**2 - 350*w**2 - 490*w**2.\nAnswer: -1157*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 + 0*s**2 - 8*s**4 + 13*s**4 + 45*s**3 - 4*s**4 to d*s**2 + w*s + v*s**4 + j + u*s**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*q + 0 + 1\/2*q**2 - 1\/4*q**3.\nAnswer: -q*(q - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7866904740 to the power of 1\/3, to the nearest integer?\nAnswer: 1989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjnnjnjjpjppj. Give prob of picking 2 p and 1 n.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127822499*y + 63911256*y + 63911256*y.\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5711 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 22*d**2 - 24*d + 20. Let b be t(23). What is the closest to b in -0.4, 2, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 57*a**2 - 12*a + 102. Give n(-6).\nAnswer: 2226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.957379 to 2 dps.\nAnswer: 0.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163079276?\nAnswer: 2, 37, 661, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3*(-2316)\/20072.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -317? (a) 5 (b) -4396 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 3*m**2 - m - 3. Let b be q(-3). Suppose 5*u + 5 = b, 2*z = 3*z - 4*u - 14. Suppose z*k = -46 + 246. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 104*b + 2. Let q(v) = -105*v - 1. Let r(n) = -3*q(n) - 2*s(n). Let y be r(-2). Calculate the remainder when 121 is divided by (-28)\/(-98) - y\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5736065925.\nAnswer: 3, 5, 76480879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -111.5 or -8154?\nAnswer: -111.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 11 - 4)*(-5*w + 2*w**2 + 5*w) + 2*w**2 - 5*w**2 + 2*w**2)*(-w**2 - 3*w**2 + 3*w**2).\nAnswer: -13*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 398*g - 14. Let l be n(3). Suppose 39*p - l = 19*p. What is the remainder when p is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9551240 is divided by 1403?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, q: 2, z: 2, y: 1, c: 1}. Give prob of sequence qq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + q**2 + 5*q + 2. Is 9 a factor of r(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + h**2 + 0)*(0 + 0 + h).\nAnswer: h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 3*v - 288. Let w = v - 42. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**3 - 3*j**2 - 7*j - 7. List the prime factors of a(-3).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c + 146 - 88 - 94 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -913.7 - -920. What is the second biggest value in 0.4, -0.5, -1, q, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(19) + 3)**2 + (sqrt(19) - 4*(1 + sqrt(19))))*-1.\nAnswer: -31 - 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14750794 is divided by 14075?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -7\/566, 2678, -3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6256139831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1035 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000115614609 to seven decimal places.\nAnswer: -0.0000116","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 24241100 (base 5) in base 9?\nAnswer: 376244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41442?\nAnswer: 2, 3, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 2*q + 16. Let m be t(3). Which is the nearest to -2? (a) m (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 33940, 33946, 33954, 33964, 33976, 33990?\n\"Answer: j**2 + 3*j + 33936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1978*-143.\nAnswer: -282854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15148287, -15148286, -15148285, -15148284, -15148283?\n\"Answer: d - 15148288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 261550368 a multiple of 568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 9*f**2 - 3*f + 8. What is the units digit of b(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/310, -1\/3, -3 in descending order.\nAnswer: -1\/310, -1\/3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -10, -3, -44, -0.2 in descending order.\nAnswer: -0.2, -0.5, -3, -10, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345 = -247*m + 96*m + 174*m for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 1:21 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -34 (b) -758 (c) 1\/3 (d) 0 (e) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1056)\/(-12) - (2 - -2). Let i be q\/39 - 4\/26. Solve -2*f = i + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4*u**(-3))\/((u\/((u**2*u)\/u))\/(u**(1\/9)\/u)) assuming u is positive.\nAnswer: u**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 31.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 242 - 1208\/5. Factor 0 - 4\/5*a**2 + 2\/5*a + p*a**3.\nAnswer: 2*a*(a - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*q**3 + 342*q**3 - 71*q**3 - 90*q**3 - 71*q**3 - 63*q**3.\nAnswer: -22*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33370.000029398 - 33370. What is p rounded to seven dps?\nAnswer: 0.0000294","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841872?\nAnswer: 2, 3, 17539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 - -132. Let t = 60 - w. Solve -8*a + 5*a + 9 = t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 - 25. Calculate the lowest common multiple of (-11)\/6*(-72)\/12 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 - 6. Let g(i) = 8*i - 154. What is g(u(c))?\nAnswer: 24*c**2 - 202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 391765700?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + p - 27 - 3*p.\nAnswer: -2*p - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17740 + -319?\nAnswer: -18059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/a**(2\/13)*a)\/a**(6\/5)*a\/a**0*a\/(a*a**(6\/11)\/a)*a)\/(a**(1\/9)*a*((((a**4\/a*a)\/a)\/a*a)\/a)\/a*((a*a**(2\/11)*a*a)\/a)**(-20)) assuming a is positive.\nAnswer: a**(300038\/6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/78)\/(9\/12)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 11810.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 2:01 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3311184710 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 207*m - m**2 - 100*m + 1 - 107*m. What is k(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u**3 + 6*u**2 - 5*u + 4. Let p(w) = -15*w**3 + 17*w**2 - 14*w + 11. Give -6*p(h) + 17*v(h).\nAnswer: 5*h**3 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 7 - (-14 - -10)) + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28.378 - -871072.9178.\nAnswer: 871044.5398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c. Let y(w) = -12*w**2. What is g(y(o))?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 65127 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*p**2 - 27*p + p**2 - 4*p**2 - 2*p**3 - p**4 + 6*p**2 as o*p**4 + j + d*p**2 + q*p + z*p**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -649243.659487 - -649243. Let m = j + 0.659. What is m rounded to 5 decimal places?\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 368 = 5*b. Let y = b - 65. Suppose 11*x + 336 = y*x. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (2 + -3))*47 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31842505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2513, 2575, 2637?\n\"Answer: 62*x + 2451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4\/3 + 2*r**3 + 28*r**2\/3 - 8*r - 80\/3 = 0. What is r?\nAnswer: -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 218 and 10?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11555, -12316, -13571, -15314, -17539, -20240, -23411?\n\"Answer: a**3 - 253*a**2 - 9*a - 11294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11846, 14912, 17980, 21050, 24122?\n\"Answer: d**2 + 3063*d + 8782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 63, 310, -13 in ascending order.\nAnswer: -13, -4, -1, 63, 310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nb when two letters picked without replacement from qnb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**2*p*t + h**2*s + 31*h**2 + 45*h*p*t - 2*h*s - 2*p - 2*s*t - t wrt h.\nAnswer: 2*p*t + 2*s + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 342 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58695 smaller than 58701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mmmmmmmwmwmmmmmmmmm?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 9*s**2 - 29*s + 21. What are the prime factors of g(-9)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3512 divided by -878\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -0.3 in ascending order.\nAnswer: -0.3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.8, -13, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*f**3 + 54*f**2 - 53*f**2 + f**4 - 1 - 5*f**3 to the form p*f + v*f**2 + h*f**4 + a + t*f**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 times -11?\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00754548 to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**5\/30 - w**4\/12 + w**3\/6 - w**2. What is d(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-733)\/(-15) - (-34)\/255?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/7, -3\/80, 0, 0.417?\nAnswer: 0.417","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**3 - 40*s + 8 + 40*s - 9 - 15*s**2 + 3 as w*s**2 + y*s**3 + l*s + p and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -64?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8832 and 889272.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 10 = 4*i + 10, 0 = 2*i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 5)*(518 - 6*r + 722 - 275).\nAnswer: -18*r + 2895","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 2*y - 12.\nAnswer: 2*(y - 3)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 345338.193 to the nearest 1000.\nAnswer: 345000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -203, -5, 4, 0 in decreasing order.\nAnswer: 4, 0, -5, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 7*d**2 - 2*d. Calculate t(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3, 15, 69, 177, 357, 627?\n\"Answer: 3*i**3 - 3*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -404 or 223?\nAnswer: 223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/25802 and 65\/2.\nAnswer: 25802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 16*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccicciic. What is prob of picking 2 i?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h. Let p = -7 + 6. Let n(m) = 3*m**3 - m**2 + 5*m. Let f(r) = p*n(r) + 5*b(r). Find the third derivative of f(k) wrt k.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 14\/4)\/((-8)\/(-96)*3). Solve -2*p = 3*o + 10, -l*p - 10 = -5*o - 4*p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4688\/(-3223))\/((-11)\/121)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -q**4\/4 + 2*q**3\/3 + q. Find the second derivative of l(j) wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -129 - -133. Suppose -48 = -g*s + 4*h, -5*s + 3*h + 57 = h. What is the greatest common divisor of 77 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 20 = -4*a - 4*l, -4*l + 4 = 3*a. Solve -a*p - 3*b - 3 = 1, -4*p - 2*b = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 37*j - 7. Let z be a(3). Let c = 73 - z. Does 6 divide (c\/2)\/((4\/2)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**7\/420 - i**6\/240 + 2*i**2. Solve c(k) = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1381442, -1381370, -1381298?\n\"Answer: 72*l - 1381514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 1. Let t(z) = -2*z**2 - 10*z + 12. Give -10*r(m) + t(m).\nAnswer: -2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4 - 5 - 7*o - o**2 + 7*o**3 + 5. Let z(u) = -8*u**3 + 2*u**2 + 8*u - 4. Let k(s) = 2*v(s) + 3*z(s). Factor k(j).\nAnswer: -2*(j - 1)*(j + 1)*(5*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2994725, -5989439, -8984153, -11978867, -14973581?\nAnswer: -17968295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*g - 340 - 70. Which is smaller: 144\/13 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191595403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 194401 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 17*g + 2. Let v be f(-17). What is the third derivative of -4*y**3 - 19*y**v + 6*y**5 - 4*y**5 + 8*y**2 - 6*y**5 wrt y?\nAnswer: -240*y**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 6, 0*g - 25 = -3*j - 4*g - 16 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 1, -6 in decreasing order.\nAnswer: 1, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 3*u - 3. Let j(g) = -3*g - 2. Let n be j(-3). Let w = 11 - n. Let d(k) = -2 + 5*k - k - 2*k - w*k. Give 3*d(m) - 2*s(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)\/d)**49*(d**(2\/3))**1*((d\/(d*d**(-3)))**(6\/7))**(18\/11) assuming d is positive.\nAnswer: d**(-32831\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436 is divided by 87.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138053329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, 3, 5\/68?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1839570 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**4\/4 + 10*v**3\/3 + 9*v**2\/2 + 2*v - 2. Suppose -3*h - 2*r - 17 = 0, -5*h + 4*r = -34 + 99. Determine j(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28245 divided by -99\nAnswer: 9415\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2339, -2338, -2337, -2336, -2335, -2334?\nAnswer: -2333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2.2 (b) 1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.400001 - 0.4. Round h to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**7\/210 + 7*m**6\/60 + 6*m**5\/5 + 27*m**4\/4 + 45*m**3\/2 + 14*m**2. Factor s(y).\nAnswer: (y + 3)**3*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 65, 90, 115, 140?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 483.4563 millilitres to litres.\nAnswer: 0.4834563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o + 10, -10 = v + 4*o. What is the highest common factor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -5*k**4\/2 - 5*k**3\/3 + k**2\/2 - 4*k - 113. What is the hundreds digit of z(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4*c - 4*c + 6*c)*(4 - 3 + 1)*(0 - 5 + 3).\nAnswer: 8*c + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -342 + 346. What is the second smallest value in -0.1, w, 15?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45 or -1019?\nAnswer: -1019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98926 - 99015.0484. Let z = v + 89. Let j = z - -0.065. What is j rounded to 3 decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6723, 13429, 20135?\nAnswer: 26841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1549093790?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 34, 80, 140, 220, 326, 464?\n\"Answer: o**3 + o**2 + 36*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 11266948508.\nAnswer: 11266948508.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -25833 less than 31?\nAnswer: 25864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 21bc92b (base 13) to base 5\nAnswer: 10123221004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 2*s**2 - 9*s + 1. Let r be y(9). Let g = r - -320. Let n = g + 503. Calculate the highest common factor of 22 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-3))\/((g*g**4)\/g)*g**6\/g*g**7*g*g*(g*g\/g**(-4)*g*(g\/(g\/(g\/(g**2\/g)*g))*g)\/g)\/(g\/g**(4\/3)*g*g*g**(-2\/15)) assuming g is positive.\nAnswer: g**(217\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31873 + 44052.\nAnswer: 12179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - (1 - -2)*(-16)\/24. What is the greatest common factor of 64 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 42, 66, 100, 138, 174, 202, 216?\n\"Answer: -u**3 + 11*u**2 - 2*u + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, j: 1, c: 4, y: 5, t: 1}. Give prob of sequence jt.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 k when four letters picked without replacement from {k: 2, u: 6}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 966.54957 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0 = 3*a + 10, 5*a = -j - 24. Let v(q) = q**3 + 6*q**2 + 4*q - 2. Let p be v(a). Suppose 0 = -o, -x = -3*x + 3*o. Solve x = p*t + t + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/11, 4, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.113022478 rounded to three decimal places?\nAnswer: 0.113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9342949593 - -9342950572.9999086. Let z = -18.93 + -961.07. Let o = p + z. What is o rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72516684 to the power of 1\/2, to the nearest integer?\nAnswer: 8516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -12*u + 6. Let c(r) = -13*r + 7. Determine -5*c(g) + 6*p(g).\nAnswer: -7*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -7. Solve 0 = -2*f + 3 + d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-1)\/4 + 10\/8. Suppose -a*m - 122 = -4*n, -3*n - 122 = -m + 3*m. Let p = m - -74. Calculate the highest common divisor of p and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 50 = 3*x, -4*j = -2*x - 7*j - 33. Let m(r) = -r**2 - 3*r + 1. Let l be m(-3). Calculate the lowest common multiple of (-234)\/x + l\/1 and 3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.42 + 0.08. Let v = y - -5.5. Let q = v + -7.1. Which is the third smallest value? (a) 0.4 (b) 2\/9 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -67 - 132*b**2 + 138*b + 11 + 131*b**2 wrt b?\nAnswer: -2*b + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 20*w**3 + 24*w**2 + 24*w - 24. Let t(x) = -x**3 - x**2 - x + 1. What is -g(d) - 24*t(d)?\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmyy when four letters picked without replacement from {m: 2, f: 1, b: 6, y: 4}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 9:22 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 0.5081.\nAnswer: 2.5081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 780 and 137280.\nAnswer: 137280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*w - 15. Let g = 96 - 79. Let c be (-3)\/(-6) - 83\/(-2). Solve -w*n - g = -c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-42))\/(24\/84)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**3 - 71*f**2 - 35*f - 81. What is n(-35)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3*k + 316. Let y = k + 425. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.1 times 47.9977\nAnswer: -196.79057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000022311755754 rounded to six dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 112*m - 12253 = -107*m, 0 = 5*g - 2*m - 20390. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - ((-13)\/6 - 9\/(-54)). Solve 2*b + 5*z - 49 = -37, 0 = -v*b + 2*z - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r = 2*m - 11, -4 = 4*r. Suppose -12 = m*w + 23. Which is the closest to 0.4? (a) 1\/4 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1758.285549195793 and -0.2.\nAnswer: 1758.085549195793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = i + 65. Let f = i + 97. Suppose f = -3*t + 7*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 3*f - 2. Let w be j(2). Let p(q) = -q - q + q + w. Let d(z) be the third derivative of -z**5\/3 + 1413*z**2. Determine d(p(t)).\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-327)\/2289)\/((-13)\/7 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 348784, 695505, 1042226, 1388947, 1735668?\n\"Answer: 346721*y + 2063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -7) + -10 + 26 + -24.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35829 is divided by 1884.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 10, 3*z = -h - 38*z - 42*z + 419 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**11)**41\/(t**(1\/30)\/(t**(-6)*t)) assuming t is positive.\nAnswer: t**(14609\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2746 + 451662 = -206*d + 214*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -113.\nAnswer: 4\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tumhhihhhmhhtthmhmu. What is prob of picking 1 h and 1 t?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*(3*sqrt(2057) + sqrt(2057)) + (2*(-2 + sqrt(2057)) - sqrt(2057)) + (sqrt(2057) + -4)*-4*5)**2.\nAnswer: -65208*sqrt(17) + 3134473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + t. Suppose -72 = 16*i - 25*i. Suppose -i + 9 = y. Let u(f) = -3*f**3 + f**2 - f + 1. Give y*d(a) + u(a).\nAnswer: -2*a**3 + a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 0, 0 = 2*p + 3*p - 4*o. Let z(l) = -l + 5. Let g be z(p). Solve 2*n = -2*t - 3*t - g, -t - 3*n = -12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, 2, 3, -153 in increasing order.\nAnswer: -153, -6\/5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1256300 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/5)\/(25\/250). Calculate the lowest common multiple of 2\/t - (-16965)\/360 and 8*1*(3 - 2).\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112)\/(-392) - (130\/7)\/2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-700)\/(-180) + (-3)\/(-54)*2. Suppose 0 = -a + 3*w - 6197 - 11578, -g*a = -w + 71045. What is a rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**19*(o*o\/o**5*o)\/(o*o\/(((o\/((o**(-4\/3)*o*o)\/o))\/o)\/o)*o)*o**(1\/4)*o**(1\/4)*(o**(2\/7))**(3\/11) assuming o is positive.\nAnswer: o**(-2351\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-201666)\/(-6954) + 31*3\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**0)**(-1)*(c**(-2\/7))**(10\/7) assuming c is positive.\nAnswer: c**(-69\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -7*a - 78. Give r(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(3\/10))\/c*(c*c**(-9))\/c*(c*(c*c\/((c\/((c**12\/c)\/c))\/c))\/c)\/(c*c\/((c\/(c*c\/((c**(-1\/3)\/c)\/c)*c))\/c)*c*c) assuming c is positive.\nAnswer: c**(-199\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-322)\/18 - (-3780)\/(-5250)*-25?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2.9034 - 1099254\nAnswer: -1099251.0966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9308812007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3130041 - -14?\nAnswer: 3130055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 335.55 - 339. Let j = d + 3.17. Round j to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9697804477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 20*s - 81. Determine j(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1950 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hssgiisggig. What is prob of sequence gsg?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 5250000. Let h be z(0). Suppose -2*r = r - h. Round r to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 5) in base 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(2*q - 3*q - 2*q) - q - 14*q + 11*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 12:39 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9484056?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 178.7706 centuries?\nAnswer: 17877.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - v - 1. Let n(x) = x**3 + 7*x**2 - x + 3. Let y(l) = -n(l) + 2*z(l). Let s be y(-9). What is the greatest common divisor of s and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 462 and 792?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 231 + -202. What is the remainder when 143 is divided by k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/10)\/(2\/(-20)). Suppose 3*s + d - a*d + 6 = 0, 10 = s + 5*d. Let k = -1619\/34125 + -2\/11375. Do k and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/13*824\/2472.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 64\/5 of a meter?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or -0.032?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-45)\/144*4*(-4 + 0). Suppose -9 = g*r - 3*y, 2*r - 2*y + 4 = -2. Solve -5*h + 3*q + 11 = 0, 5*h + r*q - 5 = 5*q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -59. Let t = y - 56. What are the prime factors of 3 - (-80 + t\/2)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*o**3 - 5*o**2 + 5*o**2 + (0 + 5 - 4)*(o**3 + 4*o - 4*o).\nAnswer: -28*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 21 - 29. Let b = -8 + s. Let t(q) = 3*q**2 - 6 + 5 - 4*q**b + q. What is t(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9624 - a29?\nAnswer: -a24d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 5:55 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - 2 - (-5 - (6 - (5 - -7))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 132*t**2 + 926*t + 74*t**2 - 2 - 1 - 950*t. Is g(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 1 = -w - z, 3*z - 9 = 3*w. Let k = w - -4. Let n(a) = -3*a**k + 6*a + 2*a - 9 + 3*a**2 - a**2. What is n(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x + 13. Let d be o(-5). Let i = 1 + d. Solve 3*w = i*w - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*b - 169*b + 4500 = -187*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 0 + 0 + 1 + 10 - 6 - 4*r. Let i(o) = -1. Calculate -h(x) - 6*i(x).\nAnswer: 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = -13*p + 22. Factor 22 + 4*m**2 - 110*m + p + 1 + 82*m.\nAnswer: 4*(m - 5)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 4, 0.5, 6028.632?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 7:49 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -153 + 151. Let x(k) = -18*k**3 - 9*k**2 - 12*k + 2. Let a be x(u). What is the greatest common factor of 67 and a?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -77 or -305\/4?\nAnswer: -305\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v + 24*v - 2130 = 0. List the prime factors of v.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000012954 rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43 - 0) + (-446 - -501).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*o - 17. Let i be 4*(-1)\/2 - 101. Let k = 175 + i. What is the highest common divisor of o and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144522 and 558.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -347525 + 347525 + 8945*t**2 in the form z + j*t**2 + f*t and give j.\nAnswer: 8945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 + 2*l**2 + l - 2. Give p(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*w - 14*w + 13. What is the remainder when w is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 16*n + 52. Let g(o) = -5*o - 17. Let l(m) = 7*g(m) + 2*v(m). Calculate the remainder when 14 is divided by l(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5880 is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 - d - 1. Let s be -4 + (-3 - -4) - 50. Suppose -4*n + 140 = 3*c, 13 = 4*n + 29. Let j = c + s. Give l(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -12*c**3 + 4*c**2 - 15*c + 22. Calculate w(2).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 + -1 + 3 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 15, 29, 1\/5 in descending order.\nAnswer: 29, 15, 5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -5*m**3 + 5\/4*m**4 - 3 + 6*m + 1\/4*m**5 - 20*m**2. Factor w(z).\nAnswer: 5*(z - 2)*(z + 1)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192277 is divided by 331.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5898117 by -3.\nAnswer: -1966039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.62*0.6.\nAnswer: -4.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 4 + 24, -3*q - 5 = -2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q + 7 = 4*r, 4*r - 2*q - 14 = 0. Suppose -274 = -5*b + 3*i, 76 = r*b + 4*i - 71. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 27 = -3*k, 0 = -v + 5*k - 4 + 33. Solve -5*j + v = 19 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, f: 6}. What is prob of sequence lf?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (-4 - -3) - (-192 + 116 + 79).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*n**3 + 570*n**3 - 146*n**3 + 2 - 5 - 141*n**3 - 145*n**3.\nAnswer: -5*n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51170 + -51163. Suppose 2*c = -x - 6, -16 = -x + 4*x + 5*c. What is the least common multiple of 3\/((-3)\/(-7)) + x and g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 k, and 1 f when three letters picked without replacement from {k: 6, v: 4, b: 3, f: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/276*2*2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4240.111 + 4240. Let i = -42 - -41.915. Let r = h - i. Round r to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2. Let k(i) = i**2 + i + 2. Let l = 0 + 0. Let h be k(l). Let n(j) = 0*j**2 - 4*j**h - 2*j**2. Give s(n(g)).\nAnswer: 36*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8337432 divided by 74.\nAnswer: 112668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -4*d + 64 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times 11169?\nAnswer: -335.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012144424296 rounded to five decimal places?\nAnswer: -0.01214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/((-588)\/(-6)))\/((-245)\/70)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ef when two letters picked without replacement from {e: 1, w: 4, f: 1, b: 3, x: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17628*37.4.\nAnswer: 659287.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -3. Let g = -7 + 4. Let w = -26\/27 + 8\/27. Which is the nearest to i? (a) 1\/3 (b) g (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*z = 4*z + 1459404 - 1452375 for z.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**5\/4 - 9*n**4\/4 + 231*n**3\/4 + 1765*n**2\/4 + 1275*n\/2 = 0.\nAnswer: -17, -5, -2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1338 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2)*((-84)\/(-8))\/(-3). Let j = -4.774 - 0.226. Which is the closest to h? (a) 4\/7 (b) j (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + c)*(-1 + 1 - 2*c**2) - 50 - 7*c**3 + 50 to m*c**3 + s*c**2 + a + p*c and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -201100132?\nAnswer: 201100210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/2068 and -101\/1034.\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -128 + 245. Let a(p) = 2*p + 5. Let f be a(4). What is the highest common factor of d and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25465586273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6, 5, 4, 3, 2?\n\"Answer: -k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (8 - 8) + (-7 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 10. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*(sqrt(19) - (-1 + sqrt(19))*-6 - sqrt(19))**2.\nAnswer: -576*sqrt(19) + 5760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o - 28. Let q be s(4). Suppose q = -3*t + 11 - 5. Solve 0 = 2*h - p, 3*h + 14 = -0*h - t*p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 4074380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -12.331, -5 in decreasing order.\nAnswer: -0.5, -5, -12.331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 12, 51, 116, 213, 348, 527, 756?\nAnswer: 1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 + 138*x**2 + 396*x.\nAnswer: 2*x*(x + 3)*(x + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j**4 - 4*j**3 + 3*j**4 + 273*j - 62*j**2 - 275*j + 59*j**2 to b*j + i*j**3 + s + y*j**4 + w*j**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50587?\nAnswer: 50587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, 539, 1203, 1867, 2531, 3195?\nAnswer: 3859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 8, 4*k = 3*k - 2*b + 14. Is 18 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11011212 - 1100?\nAnswer: 11010112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 4*q = 15, -3*a - q - 20 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64065311533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25450124 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llnlnnnlnl?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {o: 1, d: 2, h: 3, c: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1326 - 1326 + 5*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/((-12)\/36) + 1. What is the third smallest value in -3\/11, -4, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 304592\/481 or 634?\nAnswer: 634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-12)\/(y\/y**(6\/11))*(y*y**(-1))**(-3\/23))**(-31) assuming y is positive.\nAnswer: y**(4247\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(147) + 1 + 2 + -1))**2.\nAnswer: 252*sqrt(3) + 1359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 4*c - 6. Let z be w(7). What is the tens digit of (-2032)\/(-60) + 2\/z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/3)*t)**(2\/9))**23*t*t**7*t*t**(-4)*t**(-1)*t\/(t*t**4*t)*t*t assuming t is positive.\nAnswer: t**(257\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**5 + 3*b**5 - 5*b**5 + (-13*b + 4*b + 0*b)*(-3*b**2 + 2*b**4 + 3*b**2) + 31*b**5 + 16*b**4 - 33*b**5 + 2*b**4.\nAnswer: -21*b**5 + 18*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26595 divided by -9.\nAnswer: 2955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbq when three letters picked without replacement from jggbcjcjccjqqq.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1196*f - 295414. Determine c(-247).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 962, 1254, 2280, 4406, 7998, 13422, 21044?\n\"Answer: 61*r**3 + r**2 - 138*r + 1038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.4 + 2.1. Let y = 74 - 1260\/17. What is the closest to 3 in y, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-13) + 378\/91. What is the smallest common multiple of 6 and 81\/15 + v\/(-10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 844, 2091, 3330, 4561, 5784, 6999, 8206?\n\"Answer: -4*j**2 + 1259*j - 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 349 in 1, -6.2, 10\/3?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -45.5 and -13.95701?\nAnswer: 31.54299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 630117045, 630117033, 630117005, 630116955, 630116877, 630116765, 630116613?\n\"Answer: -l**3 - 2*l**2 + l + 630117047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o - 6. Let g be w(2). Let f(b) = 8*b - 138. Let y be f(25). Calculate the highest common divisor of g and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - (42 + (-61 - 49) + 5).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/1227 (b) -0.1 (c) -1\/1764\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03053428573 to five decimal places.\nAnswer: -0.03053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11359 - 2720 = 636*n + 15629 + 8452 for n.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 7*h**2 - 5*h - 2. Let z be b(6). Suppose 0 = z*s - y + 11, -y + 0*y = 4*s + 13. Put s, 5, -5 in decreasing order.\nAnswer: 5, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22764 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1813548.9 to the nearest 100.\nAnswer: -1813500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2201496 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-2))\/(2*(-3)\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*v + 2, -5*v - 7 = 2*c - 4*v. Let d be c*(17\/(-9))\/((-3)\/(-18)). Calculate the greatest common divisor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-41)\/((-1107)\/(-73638))*-6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 11*p**2. Let s be t(1). Suppose 0 = 2*r + 2, -h - 4*r = 2*h - s. Solve q + 2*q = h*g - 20, -5*q = -g + 26 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -s**6\/20 - s**5\/20 - s**2\/2 + 4. Let v(m) be the second derivative of q(m). What is the third derivative of v(g) wrt g?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*459306\nAnswer: -1377918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**4\/2 - 327*x**3 - 10038*x**2 - 72324*x = 0?\nAnswer: -14, 0, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/3 + 3)\/(4\/18). Let u(q) = -5*q + 152. Calculate the remainder when u(w) is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4\/15 - 496*c**3\/15 + 13068*c**2\/5 - 317952*c\/5 - 1075986\/5 = 0.\nAnswer: -3, 69, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dn when two letters picked without replacement from {m: 2, n: 1, b: 1, d: 1, f: 4}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*j = -85*j - 96. What is the units digit of 2054\/j + ((-280)\/21)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88060 a multiple of 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82 + 123. Suppose 13 = -4*h + 5*h - 2*l, 2*l = -4*h + 62. What is the remainder when y is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -1490 + 1490 - 28*p**2. Let f(t) = -2*t + 7. Let a = -7 - -10. Let h(n) = n - 3. Let u(s) = a*f(s) + 7*h(s). Give u(i(g)).\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 40268?\nAnswer: -5\/20134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 17*d - 8. Let g(x) = -16*x + 9. Let h(p) = p + 1. Let m(v) = -g(v) + h(v). Let r(o) = -6*b(o) + 5*m(o). Is r(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*y - 4*n, 5*y + 9 = n - 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*(l*l**(-1\/2))\/l)*l\/(l*l\/(l\/(l*l**3)))*(l\/((((l**(-1)\/l)\/l*l)\/l)\/l))**(-8\/7) assuming l is positive.\nAnswer: l**(-129\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/14 + -6\/7. Suppose 4*h = -h - 5. Is h smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 3*y - 1 = 0, 4*y - 8 - 16 = 5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4 - n**2 - 10*n + 0 + 2. Let m(a) = a**3 + 7*a**2 - 10. Let c be m(-7). Let x be w(c). Solve 14 + x = 5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) -4972\/5 (c) 0.01 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/(-35) - 107\/(-5). Suppose 4*k = 9 + 7. Suppose -k*l + 3 = -y. Calculate the smallest common multiple of 2 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 - 20. Suppose -1 = 4*q - g. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101111100 - 100000?\nAnswer: -1000110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114912.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q + 4*q**2 + 20 + 2*q**2 - 2 - 5*q**2. Is 20 a factor of p(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/3)*x)\/x)**(-25)\/(x**(-6)*(x**(1\/15)*x)\/x) assuming x is positive.\nAnswer: x**(113\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 242544800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/8228 and -113\/198.\nAnswer: 74052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 12*d - 11. Let o be u(-11). Is -3\/26 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37.25959 + 0.25959. Sort -0.02, 1, 3\/5, b in descending order.\nAnswer: 1, 3\/5, -0.02, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(x + 0*x + x)*(2 + 2 + 27).\nAnswer: 62*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtinnxnxtt. What is prob of sequence xn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -28911, -21293, -619, 39639, 106009?\n\"Answer: 1088*o**3 + 2*o - 30001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 5)*(-1 + 1 + 2*w) + w + w - 3*w - 961*w - 111 - 960*w + 1915*w + (2*w - w - 2*w)*(-1 + 1 + 1).\nAnswer: -4*w - 111","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*x + 79, 4*c - 3*x + 68 - 4 = 0. Let q = 29 + c. Solve -4*j = s + q, 0*j + 14 = -2*j - 5*s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 8*j**2 + 193*j - 3476. Determine y(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5400315 to the nearest integer?\nAnswer: 2324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2022\/6313 - -20\/59. Is 40 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37\/51 - -803\/510. Find the common denominator of n and 47\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 11:41 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4715664*s + 4715562*s = -1530 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -82 divided by 82\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 35*j + 3. Let h be g(-2). Let l = h + 74. Suppose -l*c + 65 = 16. What is the remainder when 16 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = t + 739, 3*b - 3*t + 6*t - 429 = 0. Let n be (1*(-1 - b))\/((-2)\/1). Suppose -n = -x - 2. Calculate the highest common factor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 677*p - 255*p + 4669*p + 2064*p.\nAnswer: 7155*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -433953 - -187813. Round g to the nearest 1000.\nAnswer: -246000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*4\/(-6) - -9. Suppose f + 0*f - 10 = b, -4*f - 5*b - 5 = 0. Solve -i - 2 - f = a, 3*i = 4*a - h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017724 to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m - 13. Let h(k) = -9*k + 38. Let i(v) = -17*f(v) - 6*h(v). Calculate the remainder when 20 is divided by i(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 75\/4 of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113014 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287386?\nAnswer: 2, 11, 13063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-487)\/8 - 143\/(-1144)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -39 + 5 + 2 + -6 + 13\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44821 and 399?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 223\/300 - -1\/150. Let h = -17.78 + -0.22. Let u = h - -13. Which is the closest to 1\/4? (a) 5 (b) j (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 23*q**2 - 48*q + 105. Calculate the remainder when 6929 is divided by u(-25).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -115, 2, 2.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12222 + -2102021?\nAnswer: -2012022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g. Let s(r) be the first derivative of -r**2\/2 + r + 9. Let c(a) = 4*a**2 + 4*a - 4. Let z(k) = c(k) + 4*s(k). Determine t(z(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.4372 less than 0.2911?\nAnswer: 10.7283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 721049261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -22*w - 33. Let p be g(-2). What is the second derivative of 2*i**3 + 12*i + 0*i**3 - 22*i + p*i + 42*i**2 + 28*i**2 + 22 wrt i?\nAnswer: 12*i + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -3*s + a, 0 = 4*a - 3*a - 3 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -1\/7*j**2 + 962\/7*j + 963\/7 = 0?\nAnswer: -1, 963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*a + 25 = 0, 2*w = 8*a - 12*a + 6. Suppose -3*c + 36 = k, 4*k + 3*c - w - 137 = 0. What is the greatest common factor of 144 and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (-5 + 4) - (-1 - -8). What is the common denominator of 47\/14 and (-4 - m - 292\/(-16))\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*x + 6*x - 5*x)*(2 + 1 - 5) + 94*x + 52*x - 53*x - 2 + 0*x + x + 2*x)*(-5 + 3 + 0) in the form a*x + f and give a.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxtxbbtuxutbyutmuubb. What is prob of picking 2 t?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 211808*x + 46760724. Determine m(-221).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1635571 - -3?\nAnswer: -1635566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 20. Suppose -7*u = -3*u + r. Suppose 2*c + 11 = 5*d, 5*d + 0 + 4 = -3*c. Which is bigger: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/7 + 1296*c**2\/7 + 150282*c\/7 + 4856220\/7.\nAnswer: 2*(c + 69)**2*(c + 510)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1794826?\nAnswer: 2, 11, 17, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1.1. Let s = 0.11 - 1.01. Let a = 0.1 - s. Sort a, 0.1, u in descending order.\nAnswer: a, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/11, 0.4, -22.25, 1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000897278199 to six dps.\nAnswer: 0.000897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2507584, -2507581, -2507578, -2507575, -2507572, -2507569?\n\"Answer: 3*f - 2507587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 467.0352555 to 1 decimal place.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 465 - 387. Suppose -17*u + p - 30 = -18*u, -w = -3*u + 3*p. What is the highest common factor of u and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 40477 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 5.2. Let i = -3 + u. Let w = 5 + i. Is 0 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*x + 13, 0 = 3*x + s + 9 + 3. Let v = x - -6. What are the prime factors of v - 71*(4 - 5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1564 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -780, -1556, -2324, -3078, -3812, -4520, -5196, -5834?\nAnswer: -6428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j + j - 4*j + 3*j + 4*j + (3 + 0 - 2)*(-j + 0*j + 0*j) + 0*j + 5*j - 4*j)*(0*j + 2*j + 0*j + (0*j + 3*j - 2*j)*(-3 + 2 + 2)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*r + 9*r - 410918. Suppose 4*h - r = -2*p, p + 5*h - 5849 = 3099. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2195 = -22*p + 139070 + 77327. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4, -5*r - 8 = 4*d - 34. Solve l + 5 = d*c, 3*c = -0*l + l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.4147749 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**6\/180 - m**5\/60 - m**3\/2 - 2*m. Let u(o) be the second derivative of t(o). Find the second derivative of u(v) wrt v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, 5, -714?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 18. Let a(n) = -n**2 - 8*n - 6. Does 5 divide a(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-435))\/((-146)\/1095)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**3\/2 + 103435*q**2 - 15287845*q\/2 + 141349250 = 0 for q.\nAnswer: 37, 41300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -57. Let z be u\/(46\/22 - 2). List the prime factors of 4\/(-10) - z\/(-55).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -18*z**2 + 7*z - 6. Let f(s) = 8*s**2 - 4*s + 3. Determine 5*f(a) + 3*o(a).\nAnswer: -14*a**2 + a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.1, -4, 2\/9, -7904, 4\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 775284.6ms?\nAnswer: 12.92141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11680 divided by -4.\nAnswer: 2920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*g)*(-4*g + 3*g + 3*g) + (-2*g - 2*g + 7*g)*(-56*g + 278*g + 82*g).\nAnswer: 908*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d - 4. What is the remainder when f(16) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -257.3 + 297. Let c = 37 - h. Let y = 2.8 - c. Round y to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 0 - -9) + 3. Solve 2*p - 2*k = t, -7*p + 31 = -3*p - 5*k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 3*g - 2. Let b be t(4). Suppose 6*k = 24 + 6. Solve -b*c - k*h + 25 = -2*h, 5*h - 40 = -3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 22 = 2*f, 154 = 33769*f - 33774*f - 29*l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**5 + 310*f**4 - 4475*f**3 - 10550*f**2 + 4480*f + 10240 = 0. Calculate f.\nAnswer: -2, -1, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 757007860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, b: 7, o: 5}. What is prob of picking 1 o and 2 b?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, 0, -32 in ascending order.\nAnswer: -32, -6, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 15*w**2 + 37*w + 75. Let i be g(17). Calculate the greatest common factor of 72 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - -0.4. Let a = -0.272 - y. Let o = -0.962 - a. What is o rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -85b + c?\nAnswer: -84e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18655513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -2) + (-2)\/(-2). Suppose 5*s = -2*i + 20, s - 3*i + 4 = 2*s. What is the third derivative of -2*f**2 + a*f**2 - s*f**2 + 6*f**2 - 4*f**3 wrt f?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-9)\/2*2. Let r(c) = -24*c**2 - 6*c + 12. Let t be r(q). Let o = -18689\/10 - t. What is the common denominator of o and -26\/11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8, 78, 244, 548, 1032, 1738, 2708?\n\"Answer: 7*h**3 + 6*h**2 + 3*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 18. Let x be j(-16). Let z be 0\/3 - (-48)\/x. Suppose 20*t - z*t = -48. What is the remainder when 33 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24.662 - -2.338. Let l = 89\/147 + 3\/49. What is the fourth biggest value in l, 4\/7, 1\/4, q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -313, -558, -973, -1564, -2337?\n\"Answer: -p**3 - 79*p**2 - p - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-2))\/(3\/18)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -21. What is the remainder when -31*2\/(-4)*(-6 - (-5 + -3)) is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3887108101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6, -19, -32, -45, -58, -71?\n\"Answer: -13*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-215)\/10) + -15?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 120374, 480700, 1081242, 1922000, 3002974?\n\"Answer: 120108*h**2 + 2*h + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 - (-33 - (73 + -164))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 + -1)\/(2\/(-25)) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 204407 + -204407.0689844. Let o = s + 0.069. Round o to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*g**4 + 6*g**3 - 3*g - 231 + 231 + 7*g**2 in the form k*g**3 + v*g**2 + t + o*g**4 + i*g and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 0*a + 0*a - 3 + 2*a - 1. Determine g(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -98 greater than or equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 40060351273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2146*b + 4813*b**2 + 5809*b - 1774*b wrt b.\nAnswer: 9626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-26)\/6 - 44\/66)\/(-1). Solve -5*g + 15 = -d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -25874584?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -19*k - 39. Let y be v(-3). Solve -11 = 3*g - 2*g + 2*h, -3*h - y = 2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**8\/56 + r**4\/8 + 9*r**2. What is the second derivative of d(i) wrt i?\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -247*a - 1008, -3*o - a - 9*a + 6*a + 44 = 0 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjy when three letters picked without replacement from yvkkgvkkygvjj.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - (-1)\/(-4))\/((-3)\/(-8)). Suppose 0 = -5*r - d + 36, 3*r - 21 = u*d + 11. Solve 2*b - r = -2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + 0 + 0)*(3*i**2 - i**2 + 0*i**2) - 534*i + 534*i + 36*i**3 to the form o + x*i**3 + y*i + n*i**2 and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/2 (b) -53 (c) 26778\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3104 divided by -776.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 + -9. Suppose -5*c = -2*c - d. Calculate the greatest common divisor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, f: 2}. What is prob of sequence fz?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + -37?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirty-one fifths of a millisecond?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 21. Calculate the highest common factor of 49 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 + (-1 + 0 - -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n - 4. Let f be h(-2). Suppose 3 = 5*c - f*c. Let l = -5 - -9. Solve -l = 3*g - c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.900097 + -12.9. What is f rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12243 and 903.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -87\/428435 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - -1) + 34\/(-6) + (-501)\/(-9). Solve -j*p = -6*p + 98 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -45. Let d be 123\/18 - 3\/k. Suppose 3 = 2*g - d. Is 22\/5 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 842253295?\nAnswer: 5, 13, 2293, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 17 + 7. Let g be (n - -7)\/((4 + -1)\/(-54)). Solve -k - g = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77*k**2*s*v*y + 2*k**2*s*y**3 - 1063963*k**2*s*y - 5098*k**2*v*y**3 with respect to v.\nAnswer: 77*k**2*s*y - 5098*k**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/5*((-1400)\/42)\/20\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4200.25t to kilograms.\nAnswer: 4200250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2372744711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-5) + (-1 - 36\/(-20)). What is the second biggest value in 5\/7, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1794, -7547, -17272, -30969?\n\"Answer: -1986*y**2 + 205*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**3 - 2*w**2 + 2*w. Let g(n) = -6*n + 55. Let s be g(9). Let c be i(s). Solve -3 = -5*o + c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a4b904 (base 13) to base 11\nAnswer: -21a1796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 5630280.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654348.\nAnswer: 2, 3, 31, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 3 + 4 + (-23 - (-15 + 61)) - 1?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14685 - -16037. Calculate the remainder when g is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + l = 9, 2*l = 4*q + 5 + 9 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -710*q + 1815*q - 13435 - 74556 = -696 for q.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5 - 9 + 16*v - 13 - 8. List the prime factors of g(7).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133172 and 2704?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.47 - 0.03. What is the closest to 0.1 in g, 6, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 23306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 824 divide 32960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 8*f. Let g(p) = -122438*p**2 - 5*p - 10*p - 1 + 122439*p**2. Give -6*g(b) + 11*i(b).\nAnswer: 5*b**2 + 2*b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 110111111000100101110 (base 2) to base 13\nAnswer: 4c1678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-1 + (-12)\/(-15)). Let p be ((-4)\/b)\/(45\/25). What is the closest to 1\/4 in -0.3, p, -3\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l + 362039 = -2*l + 2192219. Round l to the nearest 1000.\nAnswer: 83000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5673 (base 11) to base 2.\nAnswer: 1110100100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1448998881?\nAnswer: 3, 11, 19, 449, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 639*k - 74. Give o(1).\nAnswer: 565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 10*d + 2*m = -26, d = -17*m - 92 - 1 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33436 + -18800. What are the prime factors of f?\nAnswer: 2, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -5*g**4\/24 + 16*g**3\/3 + 41*g**2. Determine p(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, d: 1, r: 5, b: 5, m: 3}. What is prob of sequence bb?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d. Let c(p) = -p. Let r(h) = 28*h. Let x(q) = 4*c(q) + r(q). Determine x(t(y)).\nAnswer: 48*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84 + -49. List the prime factors of j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 less than 113575976?\nAnswer: 113575987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -5*s**3\/3 - 2*s**2 + 2*s - 1. Let i(f) = 4*f**2 + 3*f - 2. Let a = 810 - 813. Determine a*g(q) - 4*i(q).\nAnswer: -q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146983577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 62 and -21.331?\nAnswer: -1322.522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 166962235741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -2 - (-13)\/91. Suppose 1\/7*d**3 - 1\/7*d**2 + k - 1\/7*d = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59 and 1711?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2102 (base 5) to base 8\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 795 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 816606 to the power of 1\/2, to the nearest integer?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 12*p + 1. What is the remainder when 19 is divided by z(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -126 - -130. Factor -3\/8*x**3 + 1\/8*x**g + 0 - 1\/8*x + 3\/8*x**2.\nAnswer: x*(x - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -8*i**3 - 4*i**2 + 34*i + 23. Let f(z) = -3*z**3 - z**2 + 12*z + 8. Let j(y) = -11*f(y) + 4*p(y). Let g = 5 - 1. Suppose 4*b - g = 3*b. What is j(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 6*o - 31. Is g(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 - -47. Let n be ((-4)\/j)\/(1\/(-3)*1). Suppose 10*d = 2*q + 12*d + 8, 4*q + 3*d + n = 0. Solve 4*p + 5*z = q, -p + 5 = -4*p - 5*z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 880, 3536, 7948, 14104, 21992, 31600?\nAnswer: 42916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 - 17*t - 18. Let x be d(-6). Find the third derivative of -18*c**4 + x*c**2 + 11*c**2 - 156 + 156 wrt c.\nAnswer: -432*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 165 - 32. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 5. Let r(b) = -b + 1. Let s be (-6)\/(-4)*(-2 - 0) - -18. Let w(d) = -4*d + 6. Let p(v) = s*r(v) - 3*w(v). Determine p(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/10 + (-12)\/(-20) - -161. Let l = z - 129. Calculate the remainder when 38 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 173.308 + -178. Let s = o - -4.73. Round s to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 434557 * -0.5\nAnswer: -217278.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3711?\nAnswer: 3, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147 by -2134.\nAnswer: 147\/2134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1365)\/(-140))\/(3\/4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3225.784 decades?\nAnswer: 322.5784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-60)*(-24)\/16.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f + 1. Let c be 2\/(-4)*0\/f. Let g(a) = a + 39. Let k be g(c). What is the highest common factor of k and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*t + 6314 = -64*t - 2806 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -15 + (-5 - -12) + 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2559 - 2559.00005282. Round d to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2789 (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -238\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1493592521?\nAnswer: 1493592521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 20 + 160*i**2 + 32 as w*i + d*i**2 + g and give d.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 0.4, -16?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 5. Let d be g(5). Let f be (-3)\/(-2)*(-8)\/6. Calculate the remainder when f - (-51 + d + 0) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1, -0.4, 7\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from catocli. What is prob of picking 1 t, 1 o, and 2 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**3\/6 + 18*h. Let u(n) = -6*n**2 - 4*n**2 + 4*n**2. Give k(u(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.22 + 0.22. Let z = t + -1. Let w = 80 - 85. Which is the fourth biggest value? (a) -0.2 (b) z (c) w (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h + h - 5*h)*(-13*h - 4*h + h)*(-15*h + 5*h + 7*h) as a*h + f*h**2 + m + y*h**3 and give y.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 860162352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 0*f**2 - 6*f + 19*f**3 + 2*f**2 + 5*f. Let x be q(1). Solve 2*o - 6 - 2 = 0, y = 5*o - x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -129, -293, -523, -819?\nAnswer: -1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 11*n**2 - 7*n - 10. Let y be s(10). Let a be 30\/y*(-1 - 3). Let c(k) = -14*k + 25. What is the units digit of c(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*y + 2*m, -m + 217 = 24*y + 149 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -10, -16*r = 5*f - 11*r - 160. Is f at most as big as 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -3*j**2\/2 - j - 3. Let c(t) = 615 + 31 - 9*t - 650. Give -2*c(n) + 7*f(n).\nAnswer: -3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 142062*r**4 + 4*r**3 + r**2 + 56048466*r wrt r?\nAnswer: 1704744*r**2 + 24*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2. Let k(r) = 5*r - 1. Calculate a(b) - k(b).\nAnswer: b**2 - 5*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5*d + 22, -3*w - 2 = -d + 2. Sort w, -9, -4, -2 in decreasing order.\nAnswer: -2, w, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11318, -11312, -11304, -11294?\n\"Answer: u**2 + 3*u - 11322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 671 a factor of 86275838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13 - (9 - 7) - -5. Suppose -a - 3 = 0, -2*f = -15*a + p*a - 7. Solve s - 3*c = -3, -3*s - s = -f*c + 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15207997 is divided by 144.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 39 - 15. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2391 divide 113142188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) 4860 (c) 3 (d) 4 (e) -0.4 (f) 460\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*p**3 + 340*p**2 + 8708*p wrt p.\nAnswer: 198*p + 680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 65611*h*k**2*r + 2842*k**2*r - k**2 - k*r + r wrt h?\nAnswer: 65611*k**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -979, -985, -991, -997, -1003, -1009?\n\"Answer: -6*n - 973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -43. Suppose -3 = -6*a + g. Suppose t + 6 = -a*t. Let r(u) = -5*u - 1. What is r(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/35)\/((-60)\/69*(-529)\/46)\nAnswer: -3\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 382427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*o + 3*s + 542, 3*s - 8180 + 8161 = 2*o - 0*s for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 126 - 3364410?\nAnswer: -3364251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15978 + -255567\/16. What is the common denominator of (-6)\/(-2)*7*5\/(-10) and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (37 - 30) - 30.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/6, -0.4, 0.1, 5, -47 in descending order.\nAnswer: 5, 0.1, -0.4, -5\/6, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 0, -9, -20, -33, -48?\n\"Answer: -d**2 - 6*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 - -23. Let c = 193 - 385\/2. What is the nearest to c in x, 0, 1\/4, -1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 54 = -2*m, -h = -4*m - 131 + 95 for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -30.2, 5, 387, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*y - 3 = 0, -y = -u - u - 26. Let g = 9 + u. Let t = 11 - g. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366164 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 1\/60*t**6 - 15*t + 0*t**2 + 2 + 1\/8*t**5 - 1\/3*t**4 - t**3. Factor l(q).\nAnswer: q*(q - 2)*(q + 1)*(q + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 39.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6288423047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 + 2 + 6*a - 8*a - a**4 - 4 to the form n*a**4 + q*a**3 + z*a + m*a**2 + h and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**3\/3 - 17*p**2\/2 - 14*p - 5. Suppose -5*y + i = 46, 3*y + 26 = 6*i - 5*i. What is the tens digit of s(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aal when three letters picked without replacement from {a: 13, l: 3}?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 2*z - z)*(34043 + 34381 - 68801).\nAnswer: -377*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1484000 to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*b**3 + 122880*b**2 - 163792*b + 54592.\nAnswer: -4*(b - 3412)*(3*b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 13*g - 211*g**2 + 29*g + 195*g**2 - 2*g in the form n*g + h*g**2 + f and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 at least as big as 230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/9 and 137\/156?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*a - 169*a + 887478 = 0. Is 138 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*h - 14*c - 9*c - 174, -3*h + 11 = -2*c - 13 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11676655 and 631?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 + 7*z**2 - 5*z**2 + 9*z**2.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 3*t**2. Let b be n(3). Let y(d) = -d. Let o(k) = -4*k + 5. Let j(z) = o(z) - 5*y(z). What are the prime factors of j(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1370 + 3656 = 223*u - 772 for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*x - 1561*x**2 - 288*x - 3425*x**2.\nAnswer: -4986*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000278 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 11:52 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/216*-27*(-1)\/(-8)*-16*-6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*j + 3*j. Let v be (-1)\/(-6) - 95\/30. Let x(f) = f**2 - f - 7. Let s be x(v). Sort 4, j, s in increasing order.\nAnswer: j, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75946 (base 13) to base 10.\nAnswer: -212491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1392\/(-3)*59\/(-944)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvvggvgvvgmmgvvgvvvg. What is prob of sequence vmmd?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r + 2*r + 2*r)*(4*r - 6*r - r) + (7*r - 3*r - 2*r)*(12*r - 39*r + 7*r) in the form o + b*r + q*r**2 and give q.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-3310)\/(-331) + (2 - 11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 8*k**3 - 1. Let s be q(-1). Let a = 16 + s. Let c(f) = -f**3 + 4*f**2 + 5*f + 4. Let l be c(5). Solve a = -l*x + t, t = -0*x + x + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-140)\/(-10) + (-18)\/3. Suppose 0 = -5*z + i*z + 1338000. What is z rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4789 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - ((10 - 5) + -1). Are q and -7\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 6:48 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 5145\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 19*a**3 - 4*a**2 + 22*a + 4. Let w(m) = -19*m**3 + 3*m**2 - 21*m - 3. Let c(j) = -4*w(j) - 3*z(j). What is the second derivative of c(f) wrt f?\nAnswer: 114*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -947*o + 139635. Calculate x(150).\nAnswer: -2415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 10:12 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.3322.\nAnswer: 0.1661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15298 + 15434. Solve -5*m - 106 = -h for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 9) to base 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*l - 6, 0 = -3*j - 4*l + 11 - 0. Suppose -j = 4*r + 15. Let v(k) = -14*k - 9. List the prime factors of v(r).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n = -3 - 381 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 231, 1, 0, 5, -1897, 3, 4 in descending order.\nAnswer: 231, 5, 4, 3, 1, 0, -1897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4 + 6. What is the third derivative of -7*n**2 - 2*n**4 + 12*n**5 + 2*n**4 - n**x wrt n?\nAnswer: 660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-99792)\/(-1496))\/378)\/(14\/(-17))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -91, -5, -1, 19 in ascending order.\nAnswer: -91, -5, -1, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 2, 5, 16822 in increasing order.\nAnswer: -16, 2, 5, 16822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -195, -470, -865, -1386?\nAnswer: -2039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -377116 or -377115?\nAnswer: -377116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33051.4 + 33051. Let y be ((-6)\/2)\/(0 + 1). Let j be ((-81)\/12)\/y - 3. Which is the third biggest value? (a) 9 (b) j (c) 4 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1367 and -188.557.\nAnswer: 25.7757419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 = 2*h - 3*h - 3*r, 4*r + 8 = 0. Let m(u) = 34*u**2 + 9*u + 17. Let v be m(-3). Are v and h unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 - -2) - (-24 + 21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 13*h = -6. Suppose -h*v + 8*v = 0. Solve v = -0*x + x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14058, 14057, 14056, 14055, 14054?\nAnswer: 14053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + cb?\nAnswer: cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3892 equal to -4064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**7\/1260 + r**5\/30 + 5*r**4\/12 + r. Let d(q) be the third derivative of o(q). Differentiate d(h) wrt h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10021 (base 3) in base 15?\nAnswer: 5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506235 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 233396 + 233388 = 0, 3*m + 1 = 2*n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + (114 - 29) + -13.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/20 and 37\/18083580.\nAnswer: 18083580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -37*u - 2*u. Solve 0 = 3*i - 6*i - 4*v - 10, 2*v = -u*i - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 48\/11, -15, 0, 0.5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5977601 (base 10) to base 5.\nAnswer: 3012240401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 11*z**2 + 25*z + 14. Let b be d(13). Solve c - 6 = -b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -27. Let m = -2.15 - 2.93. Let i = m - -0.08. Sort i, p, 4\/7 in ascending order.\nAnswer: i, p, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*z)*(0*z**2 + 4*z**2 - 6*z**2) + 0*z**3 - 2*z**3 + z**3 - 3*z + 3*z**3 + 3*z - 328*z + 2*z**2 + 4*z**3 + 321*z - 5*z**3.\nAnswer: -3*z**3 + 2*z**2 - 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.971196 rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 829\/5 - 167. Which is the second smallest value? (a) 1\/6 (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -15*w - 402. Calculate i(-27).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 3*c**2 + 6*c + 10. Let j be z(-4). What is the third derivative of -60*l**3 + j*l + 11*l + 4*l**2 + 62*l**3 - 3*l**4 wrt l?\nAnswer: -72*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**5\/3 - 2*v**4 + 88*v**3\/3 + 46*v**2\/3 - 68*v + 80\/3 = 0.\nAnswer: -5, -2, 1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 2 + 3 - -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50654211?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 370 + 0?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-8)*(2 - 0). Let n = -4.043 - -0.043. What is the closest to 2\/5 in 4\/3, i, n?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u**2 + 2*u + 5. Let g(h) = -3*h**2 + 2*h - 2. Let c(y) = 14*y**2 - 10*y + 12. Let z(f) = 3*c(f) + 16*g(f). Calculate -4*w(s) + 5*z(s).\nAnswer: -2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 <= -1329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p + 1. Let z(r) = -20*r - 4. Let w(f) = -5*c(f) - z(f). Give w(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111820 > 111685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -35, 5, -2.5, -0.39, -10?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*((sqrt(1300) + (sqrt(1300) - 1*sqrt(1300)) + sqrt(1300))*6)**2 - (5 + sqrt(1300) + (sqrt(1300) - (-6*(1 + sqrt(1300)) - sqrt(1300)))**2)).\nAnswer: 4850*sqrt(13) + 5096205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 3*l - 3, -13891*l - 4 = -4*t - 13887*l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10099889.\nAnswer: 191, 52879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1622*y - 1337. Is 3 a factor of h(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115814222979 - 4321.\nAnswer: 115814218658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5569 by -6.\nAnswer: -5569\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 0. Let u = i + 90. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 239, 480, 707, 914, 1095, 1244, 1355, 1422?\n\"Answer: -w**3 - w**2 + 251*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50536300?\nAnswer: 2, 5, 79, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(-k**3 - k**3 + 0*k**3) - 2*k + 2*k - k**3 + 0*k - k + k**3 + k**3.\nAnswer: 3*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*((-10)\/2)\/(-25))\/(-3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 - -42. Find f such that -1\/3*f - 1\/3*f**3 + 0 - 2\/3*f**a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, 11, -5, 4, 0 in ascending order.\nAnswer: -5, 0, 4, 11, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -63, -125, -185, -243, -299?\n\"Answer: t**2 - 65*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 1)*(y + 3*y - 2*y) + 4 - 4 + 5*y in the form h*y + b and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 815, 1951, 3087, 4223, 5359?\nAnswer: 6495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*q - 4207*q**2 - 5969*q**2 - 45*q + 2184*q**2.\nAnswer: -7992*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**19))\/z**(5\/13)*(z*z**12\/z*z)\/z**(1\/10) assuming z is positive.\nAnswer: z**(4097\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 7 (b) 1\/704 (c) 2 (d) 0.4 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -90 + 97. Suppose -u = 21*u - 44. Solve -5*x - 2*o - 33 = 0, -x + u*o - v = 2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18780 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 21 = 4*m, 2*m + 0*m - 2*s = -12. Let h = -31 - -33. Put h, -2, m in decreasing order.\nAnswer: h, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5+7.554635\nAnswer: 12.554635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -194 + 283. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -j + 7*y, 445*j - 442*j - 15 = 2*y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 17\/4 of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -42066, -42067, -42068, -42069?\n\"Answer: -z - 42065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, w: 3, e: 5, k: 2}. What is prob of sequence evkw?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-seven fifths of a day?\nAnswer: 10656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 884.\nAnswer: 5\/884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 5*p = 8*r + 51, p = -r + 69. Calculate the least common multiple of 6 and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f - 4. Let h be k(-6). Suppose 0 = -3*t + z + h*z - 9, -3*t + 4*z = 8. Let o = 0.02 + 1.98. Which is the closest to 1\/3? (a) -2 (b) t (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/10 + 1030\/(-50). Let p = 61 + -85. Let f = y - p. Solve 2*k + 1 = f*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 2*n = -4*z - 91500, -3*n = -z + 45746. Suppose 0 = -10*j + z - 16729. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 874404298?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*r = 26*r - 4344 - 4758. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(95)*-5*2)\/((sqrt(10) + sqrt(50)\/sqrt(20))\/(sqrt(8)*6)).\nAnswer: 320*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 1440707465 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/13, 0.14, -10.\nAnswer: -10, -0.3, -1\/13, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -16 + 13*g - 4*g + 3*g + 15. What is x(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine fourteenths of a week in minutes?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j - 12*j**3 + 7*j**3 - 2*j + 2*j**3 + 2*j**3 - 5*j**3 + (2*j**2 - 3*j**2 - j**2)*(-2*j - 2 + 2) + j**3 + 2*j**3 - j**3 + j**3 + 0*j + 0*j.\nAnswer: j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(60\/(-18))*4. Let f(t) = -m*t**2 + 15*t**3 + 5*t**3 - 21*t**3 + 5 + 1. Calculate f(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/13 - 790303356*q\/13 + 78072424313107842\/13.\nAnswer: 2*(q - 197575839)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*r**3 - 2*r - 14*r**3 + 2*r - 2 in the form a + d*r**2 + t*r + c*r**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10266050, -10266048, -10266046, -10266044?\n\"Answer: 2*v - 10266052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522743.\nAnswer: 13, 79, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1958*u + 8560*u - 2536*u + 8527*u to w + a*u and give a.\nAnswer: 12593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.524752kg to grams.\nAnswer: 5524.752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/66 at most -3\/114095?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/325? (a) -1\/4 (b) 0.12 (c) 4 (d) 0 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -420586062620918 and -3.\nAnswer: -420586062620921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, r: 3}. What is prob of picking 2 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(11) - 1*sqrt(11))*1 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 - (1 + (-39)\/(-42)) and -131\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-4))\/(2\/(-8)). Let i be 12\/o*(-8)\/12. Suppose -118 = -i*g - 2. What is the remainder when g is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 242\/4 - (4 + (-88)\/16). Suppose 7*y - 3*y + 5*f = 81, -4*y = -4*f - 36. Let b = l - y. Calculate the smallest common multiple of 10 and b.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 + -55. Suppose q*k - 11 = 21. Solve k*l - 18 = 4*d, -5*l = -2*d + 4 - 17 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7727?\nAnswer: 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 252595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or -806?\nAnswer: -806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3961429, -3961428, -3961427?\nAnswer: -3961426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 5. Let b be u(5). Suppose 2*i = 4*i. Suppose -w = -i + b. What is w rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 194404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 552*u**2 + 879*u + 24927. What is c(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mprr when four letters picked without replacement from rimmrtmmiqpq?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbttttbt. What is prob of sequence bb?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75363079 is divided by 1480?\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v - 50. Let y(m) = -7*m - 29. Suppose -5*o - 39 = 3*z, 27 + 1 = -2*z - 4*o. What is the remainder when y(z) is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u - 190. What is the tens digit of o(-42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + 1)**2 + (3*sqrt(19)*4)**2.\nAnswer: 12*sqrt(19) + 3421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6368 and 0.4.\nAnswer: 2547.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 3*k = 9, 3*k + 7 = g - 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = d, d = -q - 2 + 1. Let h = 0.01 + -0.41. Let f = 0 + h. Which is the nearest to q? (a) f (b) 2\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 2, -94, -236, -424?\nAnswer: -658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xssg when four letters picked without replacement from sgssssgxdv.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-2)*308\/198 + 24\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -33, -3\/2, 0.03, -3?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 11390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 64.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 293899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(11\/7))**17*(t\/t**(-2))\/(t**(-1\/3)*t*t))**(1\/9) assuming t is positive.\nAnswer: t**(946\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-3\/4)*c)*c\/c**(-1\/3)*c)\/((c*c**(-1\/3)\/c)\/c**(-6))*((c*c**(-13))\/(c\/(c\/c**14)))**(-8\/11) assuming c is positive.\nAnswer: c**(2155\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6613, 14429, 22243, 30055?\nAnswer: 37865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 360671 to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/20 - (-231)\/(-12). Let l = a + 37. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2382, -22, 6, -2\/11 in decreasing order.\nAnswer: 6, 0, -2\/11, -22, -2382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 15.05759 millilitres?\nAnswer: 0.01505759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -11*l - l + 11*l. Let i(a) = -12*a. Calculate i(f(w)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(8)\/(sqrt(12)\/sqrt(3)) + sqrt(10)\/sqrt(5)*-4).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12404 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2 + 0.2. Let p be ((-3)\/84 + 0)\/(1906\/(-26684)). What is the nearest to p in q, -6\/35, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 + -1. Let f be (-12)\/7 - (-28)\/(-98). Suppose 0*l - 9 = -3*l. Which is the closest to w? (a) l (b) -1\/2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1020)\/(-306))\/((-5)\/(-18))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8844659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107624 is divided by 498?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -52884 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 - 35 = -20*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxaaxxaaxagaaa. What is prob of sequence ax?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 150, 203, 234, 243?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.9922382 - -0.9?\nAnswer: -55.0922382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 45*s**2 + 3*s - 4. Suppose -2*l + 2*d = l + 3, 2*l - d + 1 = 0. Does 11 divide u(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3555 bigger than -3550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 14*b**2 + 16*b - 2. Determine o(-15).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 1 + 14. Put -3, n, 1\/7 in decreasing order.\nAnswer: n, 1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4939.3599 from -26.\nAnswer: -4965.3599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*z**2 - 4 + 4 - 99*z**2 + 54*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-132))\/(9*26\/2808)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/((-48)\/(-4))*1*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 11:49 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 61.59154 years?\nAnswer: 739.09848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.96 minus -13.14?\nAnswer: 70.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 563029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-284561)\/(-17) + (-146)\/(-1241) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3841843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 22*t**2 - 55*t + 1240. Let o be b(22). Solve -33*h - o = -39*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-1) - (-4 - (0 + -1)). Let l = 3 + m. Let c(r) = -2*r - 34. Let o(n) = n + 17. Let k(f) = l*c(f) - 11*o(f). Let q(b) = -b**2. Determine q(k(t)).\nAnswer: -t**2 - 34*t - 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1949343 and 1254.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 2\/31 (c) 3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 145*a + 405. Let k be g(-3). Put k, 2, -5 in descending order.\nAnswer: 2, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 303 divide 725464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -285.7 - -374. Let n = v - 93. What is n rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 70, 75, 90, 121, 174, 255?\n\"Answer: q**3 - q**2 + q + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -247376 or 1\/3?\nAnswer: -247376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**3\/3 + s**2 + 3*s - 168. What is b(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**5*h))\/(h**(-17)\/h))\/(h**(4\/21)\/h**(-2)) assuming h is positive.\nAnswer: h**(227\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16784729, 33569460, 50354191, 67138922, 83923653?\nAnswer: 100708384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -20841404880 to the nearest 1000000.\nAnswer: -20841000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 12364 = 1844. Suppose 2*v = -v - 4281. Let d = v + p. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s - 9*s + 2*s + (-4*s + 0*s + s)*(-1 + 3 - 1) + 5*s - 3*s - s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 378*p**3 + 10*p**2 + 1151*p?\nAnswer: 2268*p + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wuwwuwryrurrweew. Give prob of sequence rrrw.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15\/83, 1\/3, -11914, -8\/5 in ascending order.\nAnswer: -11914, -8\/5, 15\/83, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.183542609 rounded to 2 dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 4*w + 4, -4*w = 48*p - 51*p + 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*l**2 + 30*l**2 + 26*l**2 + 321333*l**3 - 321342*l**3.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.2 in -2, 3, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - h**2 - 3*h - 2. Suppose 0 = -6*v + 2 + 4. Suppose -2*b = -4*w - 3*b + v, 5*b = 5. Let q be f(w). What is the smallest value in -6, -5, q, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*t + 41*t + 39*t - 44*t + t**2 - 700 in the form o*t**2 + f*t + x and give x.\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.384 - -370883757?\nAnswer: 370883774.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 2. Suppose 3*f + 15 - 3 = 0. Let d = f + 53. Let m = 53 - d. Calculate n(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 142*b**2*q**2 + 527*b**2*q*t - 3*b**2*t + 4*b*q**2 - 18*b*q + b - 593*t wrt b?\nAnswer: 284*q**2 + 1054*q*t - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*v**3 + 3*v**2 + 2*v**4 - v - v - 3*v**3 as d + w*v + n*v**4 + a*v**3 + q*v**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 775 + -694. What is the remainder when 233 is divided by s?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 986163.\nAnswer: 2958489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = w - 6, -a - 4*w = -41 + 11 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38321 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 14 = -3*t, 11*t - 24 = -2*l + 6*t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122 + -100122?\nAnswer: -102021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1744397, 1744396, 1744395?\nAnswer: 1744394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -1, -283, -104, 2 in decreasing order.\nAnswer: 5, 3, 2, -1, -104, -283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437*k + 164*k = -9555 for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 1:27 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 8.73 and 65.\nAnswer: 73.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 86\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 12, -13*l - 1852 = -18*l - 2*w. Let b = 339 + l. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 673*x**2 + 5\/3*x**3 + 67872*x - 40804\/3.\nAnswer: (x + 202)**2*(5*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30274 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (44\/33)\/((-5)\/(15\/58))\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6) - 42\/(-9). Suppose -v - 5*s = -13, z*s = -4*v + s + 18. Suppose -5*l + v*l = -58. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2579*w + 2584*w + 11 = 2*t, 25 = 7*t - 4*w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 14 = -4*u + 30, -2*c - 3*u = 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*1\/6)\/(20\/(-12))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6694?\nAnswer: 2, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y = -48*y + 108. Find the second derivative of -2*m**5 - 7 + y - 7 + 7*m**2 + 2 - 17 - 3*m wrt m.\nAnswer: -40*m**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3470 = -5*n, 43 = 3*n - f - 2047. Is n a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 333 + -219. Suppose -7*s + 786 = t. Let j = 100 - 67. What is the remainder when s is divided by j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.27 or -5.349723?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 8 + 24 = 0. Let l be (1\/2)\/(s - (-286)\/(-144)). Let x = l + -33. Solve -3*r - 5*w = -0*r + 12, x*w - 16 = 4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 649 + -649.07. Let c be 6\/5 - (-1)\/(-5). Which is smaller: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103 - 222331?\nAnswer: -222434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -14.8, 2, 0.3, 64\/55?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + (59 - 50) + 23?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -70723, -282674, -635927, -1130482, -1766339, -2543498?\n\"Answer: -70651*x**2 + 2*x - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32\/15 - 386\/195. Which is the fourth smallest value? (a) -2 (b) 1\/2 (c) y (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -57 (b) 0.1008 (c) 2\/15 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 119442, 119443, 119444, 119445, 119446, 119447?\n\"Answer: c + 119441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -26\/7, 54\/11, -33.6, -4\/7 in decreasing order.\nAnswer: 54\/11, -4\/7, -26\/7, -18, -33.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 698*v**2 - 137*v + 4. Let a(p) = -2096*p**2 + 384*p - 12. Let s(y) = -5*a(y) - 14*d(y). Let m(w) = -w**2. What is s(m(i))?\nAnswer: 708*i**4 + 2*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c**2 - 2*c. Let y(b) = 135*b**2 - 55*b. Let w(u) = 55*o(u) - 2*y(u). Let m(d) = 3*d. Determine m(w(h)).\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, p: 1, y: 3, q: 1, g: 1}. Give prob of sequence yg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2486*v**2 + 8*v - 21. Let a(z) = -4968*z**2 - 15*z + 46. Let h(k) = -4*a(k) - 7*m(k). What is the second derivative of h(g) wrt g?\nAnswer: 4940","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 3. Let j = i + -3. Suppose -40 = -j*v + 828. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 - l**4 - 3*l**4 + (-122 + 122 + 11*l)*(-3*l**3 - 31*l**3 - 31*l**3).\nAnswer: -716*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 27*o**3 + 60*o**2 - 93*o + 3. Let g(f) = f**4 + 28*f**3 + 59*f**2 - 92*f + 2. Let w(z) = -3*g(z) + 2*l(z). Find y such that w(y) = 0.\nAnswer: -6, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**4\/24 + f**2. Let a(z) = 4*z - 2. Let o(t) = 5*t - 186. Let x be o(37). Determine x*a(w) + 5*g(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 5*j + 17, 6 = 4*w + 4*j + 18 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3036494616 to the power of 1\/5, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 107697711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 11346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/27)\/((-4008)\/(-9018))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*y = y - 22, 25 = 5*y. Suppose 265 = a + 67. Suppose -2*t = -0*t - a. Calculate the greatest common divisor of t and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**4 - 59600*k**3 + 185656595*k**2 - 47405005800*k - 47590722000 = 0.\nAnswer: -1, 281, 5820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 18 = 3*i, 3*a + 3324 = 3315 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 142435849 to the power of 1\/2, to the nearest integer?\nAnswer: 11935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 462 and 126.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 236 and 14514?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274586 - 272626 = 70*n for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v. Let p(o) = 92*o + 3. Calculate k(p(l)).\nAnswer: -276*l - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x + x)*(-2*x + 6*x - 5*x) + 605*x**2 + 3 + 608*x**2 - 1210*x**2.\nAnswer: 2*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25358753\/432 + 58701. Find the common denominator of o and 29\/576.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 20 = 3*b. Round b to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -162 (b) -7 (c) -15\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 18*b**2 - 8*b**2 - 8*b**2 + 0*b**2. Let p(a) = -20*a**2 + 5*a. Let l(w) = 19*w**2 - 4*w. Let h(j) = -5*l(j) - 4*p(j). Determine h(k(z)).\nAnswer: -60*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8214?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 2\/5, 1\/2, 56.9 in ascending order.\nAnswer: -18, 2\/5, 1\/2, 56.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2. Let p(u) = -2 + 37*u**2 + 2 - 72*u**2. What is p(n(m))?\nAnswer: -140*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 32850, 32840, 32830, 32820, 32810?\n\"Answer: -10*n + 32860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*s + 105 - 18, n = 3*s + 33. What is the highest common factor of n and 564?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**4\/10 + 32114*l**3\/5 - 1700637*l**2\/5 - 32114*l\/5 + 680255\/2 = 0?\nAnswer: -1, 1, 53, 64175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4817.036mg in grams?\nAnswer: 4.817036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 37. Suppose 5*s - 8 = z, -4*d = -3*s - 503. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 1456*o + 25. Let g(u) = -2185*u - 40. Calculate -5*g(d) - 8*t(d).\nAnswer: -723*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2915, -24122, -81687, -193790, -378611, -654330, -1039127?\nAnswer: -1551182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -3 = 5296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-20)\/35 + 1436\/14. Suppose 85 = -s + 4*o, -3*o - 295 + l = 2*s. Let k = -92 - s. Let r(v) = v**3 + v**2 - v. Give r(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*a**4*h**3 + a**4 + 4*a*h**3 + 93*h**3 wrt a.\nAnswer: 52*a**3*h**3 + 4*a**3 + 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 6*m**2 + 4*m - 9. What is the smallest common multiple of 18 and u(-7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**3 + 101300*y**2 - 506305*y - 1417850 = 0. Calculate y.\nAnswer: -2, 7, 20255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.87831ms to nanoseconds.\nAnswer: 8878310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 666 is divided by 664.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462*n = -464*n + 4. Let r be (217\/n + -2)\/(81\/216). Calculate the greatest common factor of r and 213.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 80 = -3*f + 40, f - 24 = 5*o. Suppose -4*k - 26 = -5*u + 6, -5*u - 2*k = -f. Solve -l + u = y + y, 2*y - 6 = -2*l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (2 - 5\/(-5)*-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from {l: 2, j: 1, t: 1, x: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36720 and 906525.\nAnswer: 14504400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(220)*2 - sqrt(165)\/sqrt(3)*2)\/(1*sqrt(5)*-4*1) + 3)**2.\nAnswer: -47 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 6, -1, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 14*o**2 + 13*o - 16. Let f be r(13). Let a(h) = h + 80. What is the units digit of a(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**9\/21 + q**5\/4 - 3*q**2. What is the third derivative of f(k) wrt k?\nAnswer: 2880*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 147322641?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 0. Let z be 2\/r + 203\/(-21). What is the units digit of (-61)\/z + 10\/45?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1361749 to the power of 1\/2, to the nearest integer?\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4297200 is divided by 1432234.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*i + 189*i = -130*i + 10757 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 3 + -6 - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9, x: 5}. Give prob of picking 4 x.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 + j**2 + 5*j - 1.\nAnswer: -(j - 1)*(j + 1)*(5*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 11 = 46. Let l = u + -10. Suppose z + l + 72 = 2*r, 0 = -3*r - 2*z + 156. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13020)\/227850 - (-6864)\/70.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrjmaaarnnrrarrrn. Give prob of sequence jnaa.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, -2, -11\/4, 4, -0.4, -32, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 924*o**2*u**3 - 178*o*u**3 - o*u**2 - 2*o*u wrt o?\nAnswer: 1848*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 202 - 2?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/35 - 4\/(-14). Solve -3*t + 0*t + 3 = b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1482, 2528, 3574, 4620, 5666?\nAnswer: 6712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/3 + 46*o\/3 - 529\/3.\nAnswer: -(o - 23)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -12, -35, -4 in increasing order.\nAnswer: -35, -12, -4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/((o*o**7\/o*o)\/o)*o*o\/(o*o*o**2)*o*(o**(1\/3))**(19\/4)*((o**(-2\/3))**24)**(-4) assuming o is positive.\nAnswer: o**(703\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14898 by -382.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.5 - -23. Which is the third smallest value? (a) -2\/29 (b) r (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4074 - 19*i - 4077 + 76*i)*(2*i**3 + 0*i**3 - 3*i**3) - 1 + 1 + i**4 to the form s + v*i + m*i**4 + c*i**3 + h*i**2 and give m.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -94 - (-66 - (79 - 40))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3 = 3*u, u = -4*j + 5 - 1. Suppose g - 9 + 7 = u. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 + -62. Suppose 132 = g*m - 2*c, -4*m - c + 4*c + 134 = 0. What is the greatest common factor of m and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 16*b - 10 - 6*b**2 + 7*b**2 - 2. Let v be w(-17). Find the second derivative of 18*o + 1529*o**3 - 1529*o**3 + 25*o**v wrt o.\nAnswer: 500*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 0 - -4 - 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*y - 42 = 7*y + 318 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4830*a + 15265*a - 8653*a)*(-2*a**2 - 3*a**2 + 6*a**2) + (a - 2*a + 0*a)*(a**2 + 4*a - 4*a).\nAnswer: 11441*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -329*j + 48. What is p(-1)?\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**3 + 57*r**2 + 2636*r - 44478. What is z(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 96 - 309*f**4 - 162*f**2 - 12490*f**3 - 11772*f**3 - 36*f**5 + 23539*f**3 + 384*f = 0.\nAnswer: -4, -1, -1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {f: 3, k: 2, v: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*b + 51015 + 4875. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 535.4 and 9.\nAnswer: 544.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08668 equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 290330 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**6\/30 - s**4\/6 + s**3\/6 - 7*s**2. Let d(u) = -21*u**3 - 21*u + 5. Determine 2*d(w) - 11*x(w).\nAnswer: 2*w**3 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l - 28. Let i be p(-10). Let d = i - -57. Is (1006\/d)\/((-8)\/(-4) - 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vypyevoyoyyyoyyoyy. What is prob of picking 4 y?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(99) + 2 + sqrt(99) + 3 + (1*sqrt(99) + -1 - -4*(sqrt(99) + 2 - sqrt(99))) + 2)**2.\nAnswer: 270*sqrt(11) + 1116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, v: 17}. Give prob of picking 1 i and 1 v.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 78819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k = 4*k + 36. Suppose -k*g + 15 = -8*g. Calculate the common denominator of 75\/14 and ((75\/(-10))\/g)\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2337 is divided by 1166.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -493 = 732*v - 239*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48392 a multiple of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-135)\/24) - (-6)\/27.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2239*b**3*v**3 - 14*b**3*v - 10*b**3 - v**2 wrt v?\nAnswer: -13434*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4*i**(1\/3))\/((i*i\/(i*i\/(((i\/(i\/i**(-2\/19)))\/i)\/i)*i))\/(i\/((i**3*i)\/i))) assuming i is positive.\nAnswer: i**(310\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/25727 + 7914\/25727. Is 205 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2310)\/(-24) + 1\/(-4). Suppose 2*n - 5*n = 0, -3*s + 3*n = -u. 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 the third derivative of 110*a**4 + 38257*a**3 + 2*a**2 + 12532504*a?\nAnswer: 2640*a + 229542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 211765 by -4.\nAnswer: -211765\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112 - 4 - 74)*(-4 + 1 + 5)*(z**2 + 0 + 0).\nAnswer: -380*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 7. Suppose 217 = -4*h + 11*h. Let f = 33 - h. Solve -y = 2*j + f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/1*18\/27. Suppose -4*n - 3*b + 4*b + 172 = 0, k*b - 140 = -3*n. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 248*v**3 - v**2 + 16*v - 29. Let d be z(2). Let q = d - 1981. Suppose 0 + 16\/3*k - 8\/3*k**q + 1\/3*k**3 = 0. What is k?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 800 and 2511730.\nAnswer: 200938400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 + 1 - 1 - 56*j**2.\nAnswer: -53*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*q = 22*q + 150. Let r(k) = -2*k**2 + 33*k + 14. Let m be r(q). What is the greatest common divisor of m and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.9 (b) 5 (c) -2\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*s + 6 = 28*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 1 = -4*o, -s - 4*o + 9*o + 17 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158760 (base 9) to base 7.\nAnswer: 556416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36312 (base 7) in base 4?\nAnswer: 2103021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 9*i**2 - 7*i + 12. Let v be n(10). Let c = 257 - 953\/4. Calculate the common denominator of (-10)\/(-25) - v\/(-40) and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8676605, 8676613, 8676627, 8676647?\n\"Answer: 3*q**2 - q + 8676603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1081 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 540, 4326, 14594, 34584, 67536, 116690, 185286, 276564?\nAnswer: 393764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137 - -40. Calculate the remainder when m is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1215843 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235 = 25*r - 140. Let d be -1 - (-1 - (-93)\/r). Which is the smallest value? (a) -3 (b) 0 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3240*r = 24732 - 51952 + 66924 + 89896 for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b. Let l be (1*-1)\/(2\/(-4)). Let k(n) = -133*n**l + 78*n**2 + 83*n**2. Calculate s(k(t)).\nAnswer: -84*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52528 and 616?\nAnswer: 577808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/(-7))\/((-451)\/574) + 2\/11. Sort -0.09, -4.7, o in decreasing order.\nAnswer: o, -0.09, -4.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -16. Suppose g + 85*f + 55 = 79*f, g = f + 8. Put 5, g, d, -3 in descending order.\nAnswer: 5, g, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**3 - 2*n**2. Let b(r) = -r**3. Suppose -2*l - 15 = l. Suppose -42*z + 7 = -49*z. Calculate l*b(q) + z*g(q).\nAnswer: 2*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 9*j + 12. Determine d(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - k - 2 - 6 + 16.\nAnswer: -k + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h + 2*h - 16*h - 39 + 14*h. Calculate y(-20).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1350*c + 1300*c + 19750. Solve 399 - c = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from bbebmqbw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 16*s - 42. What is the least common multiple of 3 and c(-34)?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -3*u**4\/4 - 36*u**3 - 855*u**2\/2 + 2166*u - 111. Factor k(s).\nAnswer: -3*(s - 2)*(s + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106510000 rounded to the nearest one million?\nAnswer: 107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 5*c**2 + 7*c + 5. Determine y(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0399 - 104.7399. Is 1\/2 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -82.7 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4441575 divided by 10\nAnswer: -888315\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -186 + 186.1. Which is the closest to s? (a) -3\/7 (b) 0.5 (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008940861 to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 11:04 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-12 - 33\/(-22))*(-104)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9322289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 20924042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d*h*o**3 + 4647*d*h*o - 26010*d*o - 10*h*o + 5*o**3 wrt h?\nAnswer: -2*d*o**3 + 4647*d*o - 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-110) - 6\/44. Suppose -v + 6*v + 5 = 0. Which is smaller: v or d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/2266 and -19\/154.\nAnswer: 15862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(1\/7))**(-31)*(k*k\/(k\/k**(2\/9)*k))\/k**(-4\/15))**41 assuming k is positive.\nAnswer: k**(-336856\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*w + w + 30*w**3 - 18*w.\nAnswer: 30*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 37778210 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 22 + 2. Suppose -2*t - 8 = -4*a + j, 0 = 5*a - 25. Let s = t + 0. Solve -5 = -s*d - d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.708579 * 0.91.\nAnswer: 4.28480689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-5)*9*4\/(-36)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttttttt. What is prob of sequence ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -19634.38, -0.4, -60, 2, -0.1 in decreasing order.\nAnswer: 2, -0.1, -0.4, -60, -19634.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 989723474?\nAnswer: 2, 4789, 103333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -13\/8 (b) 1\/6 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*h**3 + 12521*h**2 - 12521*h**2.\nAnswer: -218*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 636 + -1341?\nAnswer: -b09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5 + 23. Suppose 0 = -i + 2*r - c, 3*i - 4*i = r - 3. Solve i*q = -q + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3724, -0.5, 1\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 11*d**4\/4 - 34*d - 1. What is the derivative of x(m) wrt m?\nAnswer: 33*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141668.41 less than -641.9?\nAnswer: -142310.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20 - 4?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 4*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -17*x**2. Let c(y) = 0*y + 2*y + 0*y. Calculate u(c(r)).\nAnswer: -68*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4066940?\nAnswer: 2, 5, 43, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 12249*c - 48448. Give o(4).\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**11*m*m**(-14)*m)**(-6\/11) assuming m is positive.\nAnswer: m**(6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27.6 - 1.6. Let w = 109 - 83.5. Let c = m - w. Put -1, 3, c in ascending order.\nAnswer: -1, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 152452709?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 15*q**2 - 40*q - 122. What is y(-17)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -16 - 29. Suppose 0 = c - 5*t - 32, -3*c - d*t + 2*t = -24. Solve 6*q - 2*q = -c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 + 0*d**2 + 715*d + 192*d.\nAnswer: 4*d**2 + 907*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 223*t**2 + 121 - 117 - 495*t**2 - 670*t**2 + 2*t. Let m be f(14). What is m rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q - 6*q**2 + 0*q**3 + 3*q**2 + 0*q**2 + 2 + q**3. Let x(u) = u**3 - 4*u**2 + 3*u - 4. Let n be x(3). Let p = 8 + n. What is g(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -v - 3*j - 27, -2*v = 3*j + 29. Let u be (-1)\/(2\/6) - v. What is the units digit of (-51)\/(-9) + u\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*u - 2 + 16*u - 31*u.\nAnswer: -48*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*j*l**2*u**2 - 13*j*u**2 - 7*l**2 - 16*l*u**2 wrt j.\nAnswer: -5*l**2*u**2 - 13*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*j - 164, 5*d = -5*j + 2*j + 116. Suppose 0 = -2*g - 2*g + j. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 878516, 878516, 878522, 878534, 878552?\n\"Answer: 3*d**2 - 9*d + 878522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -59423 - -2913.054?\nAnswer: -56509.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/7)\/l)\/(((l\/(l*l**(1\/3)))\/l*l)\/l*l)*l**(-7)\/(l\/(l**4*l)))**3 assuming l is positive.\nAnswer: l**(-71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 260*n**3*o*x**3 + 16*n**3*o + 38*n**2*o*x**3 - 14*n**2*o*x**2 - 12*n**2*o*x - 2*n**2*x - x**3 wrt n.\nAnswer: 1560*o*x**3 + 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 4*d**2 + d - 1. Let g be y(4). Let c be 190\/(-45) + 4 + 112\/18. Calculate the greatest common factor of c and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200234 (base 10) to base 13.\nAnswer: -701a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 77, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -650 + 652. Suppose -12 = -h*y - 5*c + 3, 3*y - 4*c = 11. Solve -4 = y*a - 4*v, -3*a - 5*v = 2*a - 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 20. Let o be c(-15). Suppose o*q + 2*f = 7*f + 15, -2*f = 5*q - 22. Suppose 0 = 5*h - 4*h - y - q, 2 = 2*h - 4*y. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-12915)\/1230)\/(1\/(-1202))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 22*s. Let w be z(22). Let f(l) = 2 - 4 + 2*l + w. Let a(j) = -2*j + 3. Let c(o) = 2*a(o) + 3*f(o). Let d(n) = -2*n. Give d(c(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_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: Calculate prob of sequence zn when two letters picked without replacement from {t: 2, z: 1, n: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 688 > -73.66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 2. Let l be w(-6). Suppose -3*o + f + 229 = 0, -l*o + 4*f + 300 = -0*o. What is o rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.2 - 3. Let a = 0.4 + -0.2. Let i = 146.2 + -144.2. What is the closest to y in -3\/2, a, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(8\/8)*44\/44.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axaxaaxaxxxxaaxx. What is prob of sequence xa?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 19*x**2 - 21*x - 15. Let o be t(-20). What is the highest common factor of o and 250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**3\/3 - 2*n**2 - 144*n. Let h(z) = 0 + 23*z - 6 - 20*z + 1. Give -4*b(d) + 3*h(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -29*w + 27*w - 2530, 3777 = -3*w - 3*l. Let u be (10\/8)\/((-1)\/4). Is w*(u + 27\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.993 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.108807 decades in months?\nAnswer: 373.05684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 6:25 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 60*m**2 - 93*m**3 - 60*m**2 + (-2*m**3 - 2*m + 2*m)*(-2 - 1 + 5).\nAnswer: -97*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-154)\/(-38)) + 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 - 82 = 2*w. Let c be (-4)\/(-26) - 222\/w. Suppose -c*j - 3*s + 6 = 0, -5*j + 1 = -3*j + 5*s. What is the greatest common divisor of 21 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 290167888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h - 79. Suppose 7*j - 2*j - 805 = 0. What is the remainder when j is divided by z(-20)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 100649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.2 (b) 69 (c) -1\/8 (d) 539\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 15) to base 4.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)*m)**(1\/12)\/(m**(-1\/4))**(-4\/7)*m**(-2)*m**0*m*m*(m**(2\/3)*m)**(-30) assuming m is positive.\nAnswer: m**(-351\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98 + -49. Let x = 147.4 + i. Put 3, x, -3 in descending order.\nAnswer: 3, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43246106 (base 7) to base 6.\nAnswer: 211050402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 5:16 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d - 380*d = -334 - 13771 for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127 - -3. Let m = n - -124.269. Round m to 2 decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 11:04 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 15087 = 4*n, -3*n + 13229 = -4*a - 6862. Let v = -3257 - a. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5980)\/(-100464)*8\/(-55).\nAnswer: -2\/231","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2079 + 0.2921. Sort s, -4, 4\/9, 7 in ascending order.\nAnswer: -4, 4\/9, s, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*o**2 - 838*o + 53621.\nAnswer: 38*o - 838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**7\/2520 + q**6\/720 + q**5\/120 + q**4\/3 + 3*q. Let s(z) be the third derivative of k(z). What is s(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 688153 and 566890?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008659 to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 687063.5t in kilograms?\nAnswer: 687063500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -737272*q**5 - 1897052*q**2.\nAnswer: -44236320*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 538 divided by -164290\nAnswer: -269\/82145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 - -1.88?\nAnswer: 3.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wooaawwwaowwawoww. What is prob of sequence awa?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (1574997\/9)\/(1\/(-3)*(-8)\/8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -12. Let l(p) = 4*p**2 - 2*p**2 + 1 + c*p - 3*p**2. What is the least common multiple of 20 and l(5)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85895111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/12 (b) 2 (c) 3 (d) 0.076 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**14*f)**(-3\/5)\/((f\/(f**(-13)*f))\/f**(-1\/9)) assuming f is positive.\nAnswer: f**(-1022\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-4)*(-13 - -9). Let q(r) = -r**2 - 7*r - 11. Let t be q(a). Sort -3, 3, t.\nAnswer: -3, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3182*a + 3050*a - 105543 = 1419*a + 159172 for a.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j + j**2 + 14*j + 0*j**2 + 3*j - j**3 + 936 - 929 to the form l*j**3 + z*j + m + x*j**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 30. Put u, 5, -1, 1 in decreasing order.\nAnswer: 5, u, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 i when three letters picked without replacement from {e: 2, t: 1, f: 7, p: 8, i: 1, v: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*y**2 + 0*y**2 - 7*y**4 + 11*y**2 wrt y?\nAnswer: -168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19134029201+-1.05\nAnswer: 19134029199.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -476*v - 3*c = 496*v - 971*v + 15, 0 = -20*v + 5*c + 25 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2. Let r(w) = -2. Let p(h) = h - 3. Let d(m) = -2*p(m) + 3*r(m). Let f be d(-1). Let z(o) = 9*o**2 + 3*o**f - 7*o**2. Calculate z(c(n)).\nAnswer: 5*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -132\/5, 0, -0.142?\nAnswer: -0.142","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -31 (b) 1.6442 (c) 4\/5 (d) -1 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (-7760)\/630 - (-8)\/14)\/1.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**3 + 8*f - 3. Let b(i) = -6*i**3 + 16*i - 7. Calculate -7*a(r) + 3*b(r).\nAnswer: 3*r**3 - 8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**5 + 15*i**4 - 45*i**3 + 25*i**2.\nAnswer: 5*i**2*(i - 1)**2*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 3\/(-7) - (-3042)\/91?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 11*y**3 - y**2. Let x be w(1). Find the second derivative of -3*k**2 - 82*k**5 + 141*k**5 - 57*k**5 + x - 16*k wrt k.\nAnswer: 40*k**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -3, 42 in descending order.\nAnswer: 42, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + y = 10, -4*k + 20 - 8 = 4*y. What are the prime factors of k + (-5 + 2 - -611)?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2817271.04 to the nearest one hundred thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-3\/5)*k\/(k**(-2\/5)\/k)*(k\/k**1)**49 assuming k is positive.\nAnswer: k**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379426 a multiple of 621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/60)\/(60\/50)*40\/105?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6557286 is divided by 84?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 24 + 12 + 15 + 13*d.\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 4*c**2 - 4*c + 11. Let n be o(-5). Solve 5*f + 2*z = 7, 4*z + z = -f + n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3860*c**2*f + 2*c**2 - 202*c*f + 2769*c - 2*f + 1020 wrt f?\nAnswer: -3860*c**2 - 202*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 565.4386 millimeters in centimeters?\nAnswer: 56.54386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 381324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 497240?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1049708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/10 or 97.2838?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjiijjiinj. What is prob of picking 2 i?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + g = -11, 12*z - 9*g = -67*z + 84*z + 99 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + 8. Let w be -4 - -1*(34 + -4). Let m = w + a. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (308 - 308 + 21*g)*(-1 + 4 - 4)*(1 + 2 + 2)*(46 - 100 - 78) in the form r + k*g and give k.\nAnswer: 13860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 775\/2, -33, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7611 - -7268.7. What is l rounded to the nearest 10?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1875*r - 190952 = -24077 for r.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -17 + 0*a - a + 23. Let q be t(3). Solve 0 = -q*d - 0*d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 324992, 324938, 324848, 324722, 324560, 324362?\nAnswer: 324128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**3\/3 + 4216*o**2\/3 - 573194*o\/3 + 189660 = 0.\nAnswer: 1, 145, 1962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 - 28*h**3\/3 + 27*h**2 - 24*h + 16\/3.\nAnswer: (h - 4)**2*(h - 1)*(3*h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 9:41 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -51 * -218.16\nAnswer: 11126.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 4*k**2 - 2*k + 2. Determine s(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-383 - -379) + 21\/(-114)*-22?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3462932 and 40?\nAnswer: 34629320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + w**2 + w + 1. Let j = 20 + -21. Give k(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1629 or -3?\nAnswer: 1629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 5*j - 1. Determine r(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -83*g - 115*g + 336*g. Let p(x) = -x. What is -69*p(r) - z(r)?\nAnswer: -69*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125 + 119. Let l be 2 + -4*18\/24 - d. Let j(g) = -g**2 + 7*g - 5. What is j(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -42, -51, -64, -81, -102?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149775?\nAnswer: 3, 5, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -1\/5, -3\/2, -31, -2\/11, -96\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/3*(4 + 59\/(-14))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -8728*f - 1588496. What is t(-182)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 2*o + 6, -1 + 4 = -3*l - 3*o. Sort 0, 3\/2, 2, l in ascending order.\nAnswer: 0, 3\/2, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39198*u + 7000 = -39323*u for u.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = -11749 + 64035. What is the thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -158*f - 164*f + 81*f - 65*f + 8874 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3515, -3501, -3469, -3413, -3327, -3205, -3041?\nAnswer: -2829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.35643 and -137.\nAnswer: -136.64357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 7*p + 9. Let y be v(-6). Suppose -73 = 4*t - j, -6*t = -y*t + j + 53. Is t equal to -86\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41209 divided by 5228?\nAnswer: 41209\/5228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 162*l - 183*l**2 + 30*l**2 + 37*l**2 as p + c*l**2 + g*l and give g.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 5, 3, 8264 in descending order.\nAnswer: 8264, 5, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 18*f**2 - 2*f - 33. Let z be r(-18). Suppose 0 = z*u + u - o - 443, -u + 127 = 3*o. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1032916381 to 5 decimal places.\nAnswer: -0.10329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-20)\/128))\/((-484)\/(-1210))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**3*s - 2*n**2*s - 11*n*s + 59*n + 129545*s + 1 wrt n.\nAnswer: -6*n**2*s - 4*n*s - 11*s + 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*o - 6309 = -8658 for o.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 29 + (-25 - -11) + -18\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 3*t + 459. Let g = 28 + -28. List the prime factors of s(g).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 199\/203 - 16\/29. What is the third biggest value in t, 3, -231?\nAnswer: -231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nineteen quarters of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 258185 + -258214.4502. Let b = -29.5 - t. Round b to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -6, -31, -74, -141, -238?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127.8 + -122.8. Which is the smallest value? (a) 21 (b) 0.5 (c) z (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2071*q + 2074. Let r be p(1). Let l be (4\/(-15))\/(2\/3). Put l, 0.1, -3, r in decreasing order.\nAnswer: r, 0.1, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*8\/(-1077)*21356916\/(-24). Let b = o - 6610. Let v = b + -14366\/3231. Is v < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32301137.95 to the nearest 100000.\nAnswer: 32300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 51 (b) 0.3 (c) -0.1 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 11\/6*n**4 + 0*n**3 + 0 + 41*n - 29\/20*n**5 + 0*n**2. Find the third derivative of v(u) wrt u.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -13. Let h be 7 - (28 + -13) - (-1 - 4). Sort -9, h, l in ascending order.\nAnswer: -9, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 4*r**2 - 5*r - 1. Calculate l(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 48 - 40 = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 1 (c) 23 (d) 1287\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 7*h + 1404. Let p be h\/24 - (-2 - (-5)\/2). Solve -3*v + o = 2, p = -0*v + 5*v - 4*o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31319\/690 at most 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**5\/3 + 4*g**4\/3 + 8*g**3\/3 - 14*g**2\/3 - 7*g\/3 + 10\/3 = 0.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176)*-3 + 2.\nAnswer: -12*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69)\/180 - (5*(-6)\/120 - 0)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*z**5 + 0*z**2 - 8*z**2 + 6*z**2 wrt z.\nAnswer: 480*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -336, -2223, -5380, -9813, -15528, -22531?\n\"Answer: -l**3 - 629*l**2 + 7*l + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 - 10*j + 45. Determine m(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*o + 31142 = 0, 5*o - 4550 = -3*h + 18839. Is 104 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/8, 2\/7, 2.72?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -530 (base 6) in base 14?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -417176, 0.5, 0.016?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b + -129?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14083682 to 4 decimal places.\nAnswer: 0.1408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2*v + 24, 2*a + 4*v - v = 28. Let h(f) = -f**3 - 7 - a*f**2 - 8*f + 0*f + 2*f**2. What is the units digit of h(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (-9 + 27 - 3) - 32?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/6 - -3)*3. Suppose 0*u + 8 = -q*u. Let w(o) = -o**2 - 7*o. Let i be w(-7). Sort u, -2, i in ascending order.\nAnswer: u, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f - 3*d + 41 = 0, 5*f - 5*d - 14173 + 14348 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39379 and 1961?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.44929 milligrams in micrograms?\nAnswer: 90449.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18705113?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 5*w**2 + w - 527*w**3 + 28 - 14.\nAnswer: -527*w**3 - 5*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 a when two letters picked without replacement from {u: 4, a: 5, z: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.23, 1\/28, -3, 3, 9?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*w - 28, -2*w - 3*l - 8 = -3*w. Let s be (16 + w - 2)\/(-2). Let m(u) be the third derivative of -u**4\/24 - 2*u**3\/3 + 7*u**2. Calculate m(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.171 - 16.571. What is the second biggest value in z, -4, -0.01, -12\/119?\nAnswer: -12\/119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -29*p - 1. Let o(d) = -14*d - 1. Calculate -3*b(r) + 5*o(r).\nAnswer: 17*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**2*m**4 + 174*j**2*m - 999*j*m**3 - 3*j*m**2 + 342*m wrt m?\nAnswer: 12*j**2*m**2 - 5994*j*m - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 4*t**2 - t + 4*t**2. Let c(i) = i - 6. Let j be c(9). Let k = 4 - j. Calculate s(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.1, 0.64, -3040?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -7*w + 273. Let n be d(38). Let s(q) = 3*q**3 - 20*q**2 - 6*q - 4. Let j be s(n). Solve -3*h + 24 = 5*x, -j*x + 4*h = 4 - 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9447, -9452, -9455, -9456, -9455, -9452?\n\"Answer: c**2 - 8*c - 9440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3 + (-2)\/(-12). Let n = 125691 + -125687. What is the nearest to -20 in n, 0.3, f, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99*i**4 + 8*i + 3?\nAnswer: 1188*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 826 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**4\/12 - 5*p**3\/6 + p**2. Suppose -4 + 14 = 5*c. Let q = c - 7. What is r(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*g = -7, -5*s + 4*s = -2*g - 11. What is the common denominator of 81\/16 and (73\/(-16))\/(4 - s)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z\/(((z\/z**(-1\/2))\/z)\/z)*z)))**(19\/3)\/(z**(-1\/3)\/(z*z**(-1\/10))) assuming z is positive.\nAnswer: z**(117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 17*h**2 + 13*h + 8. Let y be o(16). Let z = y + 61. Find the second derivative of 6*a**4 - z*a + 9*a + 11*a wrt a.\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = -41*d - 5*r - 357, r = 13*d - 18*d - 61 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 430181 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + b - 3*b)*(1 + 0 - 2) + 8*b - 3*b - 27*b + (4 - 2 - 1)*(-4*b + 2*b + 4*b) + b + b - b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 279 by -279.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 0, 3*c - 3*q = c - 42. Let b be 192\/32 - (-87)\/c. Is b at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -301, -5, -0.17 in decreasing order.\nAnswer: 0.5, -0.17, -5, -301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 190, 2, 4?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 9*w**2\/2 - 7*w + 1. What is the tens digit of b(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 166 + -101. Calculate the greatest common factor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117649239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*18\/(-45))\/((-22878)\/(-615)).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14226 and 8.\nAnswer: 56904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + ((-1 + sqrt(192))*2 + -3)**2.\nAnswer: -160*sqrt(3) + 795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 10, -1, 327, -5, 331 in descending order.\nAnswer: 331, 327, 10, 3, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 1)*(-13880*b + 13858*b + 72*b**2 + 22*b**2) to the form w*b**2 + r + z*b and give w.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*z - 42. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1115 + 5?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/12)\/((-17)\/102) - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 101221102 (base 3) to base 8\nAnswer: 17450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + (-2*sqrt(21)*1)\/(sqrt(15)\/sqrt(5)*-3) + 0.\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -8 - (1 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9\/20 (b) -0.4 (c) 4\/9 (d) 3 (e) 0 (f) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3\/15 + 16546*a**2\/15 - 14064362*a\/5 + 11400725514\/5 = 0.\nAnswer: 2001, 4271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 24*z - 6. Let k be (-21)\/(-12)*-2*6 + 4. Let s(o) = 71*o - 17. Determine k*w(l) + 6*s(l).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39447, 39442, 39435, 39426, 39415?\nAnswer: 39402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35*2\/(-322))\/((-50)\/(-20))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2565, -2579, -2593, -2607, -2621?\nAnswer: -2635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 + 3 + 7*((-70)\/(-28))\/((-20)\/8)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14 + 11140979 - (3 + -10). What is u rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 2. Let u be q(0). Let s be u\/6*(-1 + 7). Factor 158*b - 8*b**4 - 158*b + 4*b**s - 4*b**3.\nAnswer: -4*b**2*(b + 1)*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2. Let o(p) = -293117*p**2. What is f(o(m))?\nAnswer: -85917575689*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -786*g - 1891*g + 87*g.\nAnswer: -2590*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + p = 13, j - 4 - 15 = 5*p. Which is the closest to 1? (a) 2\/15 (b) j (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 6. Let r be q(-5). Let g be 190\/6 - r\/(-3). Suppose -3*t + 96 = t - 4*d, t = -3*d + g. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34352437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + o + 0*o)*(-14 - 62 + 15) to the form m + c*o and give c.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*x**2 - 45*x**2 - 2*x**3)*(-523*x**2 + 850*x**2 - 498*x**2) - 2*x**5 + x**3 - x**3.\nAnswer: 340*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 52*z**2 - 47*z + 318. Determine x(-53).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 - 37. Let q(n) be the first derivative of -k - 2*n**3 + 1\/2*n**4 + 0*n + 0*n**2. What is the third derivative of q(a) wrt a?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - d + 1. Let w(o) = -7*o**2 + 5. Determine w(j) - 2*x(j).\nAnswer: -5*j**2 + 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 171969, 171914, 171855, 171792, 171725?\n\"Answer: -2*f**2 - 49*f + 172020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/((-20)\/114)*(-16)\/12. Let p = m - -58. Calculate the remainder when 98 is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 27*v**2 + 434*v + 132. Give y(-16).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(-2*q - q - q) + 3*q - 3*q - q - 387 - 137*q + 387 + q - 2*q + 3*q - q + 0*q + 3*q + (0*q + 3*q + 0*q)*(3 - 6 + 1).\nAnswer: -148*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 9*c + 10. Suppose x - 2*k + 8 = 0, -c*x = x + 4*k + 4. What is the smallest common multiple of 6 and 0 + (-4*2)\/x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 617349043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + (-5 - (6 - -4)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 + -0.79. Let r = 0.4 + g. Let t = 7.7 - 8.7. Which is the closest to t? (a) 0.4 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 + 371 = 6*d. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 4, -1, 5 in ascending order.\nAnswer: -8, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 23*y**2 + 74*y - 290. Determine q(20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 4440.\nAnswer: 1\/888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 46519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 92*n**2 - 422*n + 492.\nAnswer: -2*(n - 41)*(n - 3)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 982368 divided by 3?\nAnswer: 327456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 22.2. Let u = 1.9 - 1.9. What is the second smallest value in u, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/3 (b) 32 (c) 5 (d) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q**2 - 58*q - 164. Give g(-9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -29. Suppose -11 = -3*m + 2*k, m + 0*k = 3*k + x. Let w(l) = l**3 + l + 1. Let s(f) = -7*f**3 - 5*f - 6. Give m*s(c) + 6*w(c).\nAnswer: -c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -166*b + 325*b - 161*b. Let l(s) = -282*s. Give l(g(j)).\nAnswer: 564*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -259, 425, 1559, 3137, 5153, 7601, 10475, 13769?\n\"Answer: -j**3 + 231*j**2 - 2*j - 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1470) - sqrt(1470)*-1)\/(sqrt(6) - -2*sqrt(294)).\nAnswer: 14*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*w = -4, 0*j + 4*w = 5*j - 12. Let z = -0.41 - 0.09. What is the second biggest value in j, 1\/5, z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppllffplppffflfpflp. Give prob of sequence pp.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 244417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01051675 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 + 182 - 43)*(-2*q**3 + 0*q**3 - q**3).\nAnswer: -558*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -147 - -240. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-35) + (-1980672)\/(-180530)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -12. What is the third derivative of -8*l**2 + l**4 - 6*l**4 - 4*l**2 + 3*l**v wrt l?\nAnswer: -120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*z + 108 = -45*z. Let v = 94 + -134. Let b = z - v. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 45495*a - 46880808.\nAnswer: -3*(a + 1112)*(a + 14053)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in -2\/9, -7, -207?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -45*z + 66*z. Is z > -7\/52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, k: 4, l: 3, e: 2}. What is prob of picking 1 k, 1 e, and 1 l?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 22 = -4*h + j, -5*j - 2 = 2*h. What is the remainder when 74 is divided by (-1302)\/(-49) + h\/(-7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 63, 96?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**2 + 6*a - 7 = 0?\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*f + 167*f + 165*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -14*s - 1. Suppose -4*n - v = -0 - 17, v - 14 = -3*n. Suppose -4*j = 2*c + 6, 4*c = n*j + 5 + 5. Calculate g(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1820 divided by -1130\nAnswer: -182\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15300 (base 6) in base 9?\nAnswer: -3360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - y - 4, 0 = 317*l - 321*l - 9*y + 5 - 54 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/5)\/((-11)\/((-220)\/8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 5:50 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2198 is divided by 2180.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*a + 5616 = 908 + 492 for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 3. Suppose 24 + c = 4*i. Let x be (2 + i\/3)*3. Solve 2*g - 10 = u - 1, u - 4*g = -x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 12. Let t = -4 + 0. Which is the second biggest value? (a) m (b) -2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1098 and 111\/14.\nAnswer: 7686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*j. Suppose j = 5*d - m - 66, -2*d - 3*m + 82 = 3*d. Let p be 18\/(-22) - d\/77. Is 2\/179 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81 - 76. Solve z + j*y = 29, -3*y - y = -20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -468 + 4512. Sort 0, l, -4 in decreasing order.\nAnswer: l, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 + 71. Suppose -37*d = -16*d - 210. Are d and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -34*p - 1. Calculate c(1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s + 171. Let w be u(-11). Put -1, w, 4 in decreasing order.\nAnswer: w, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -11998917.\nAnswer: -11998916.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2 - 3*m - 3. Let k = 10 - 12. What is the units digit of i(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.13 + 5.13. Let o = 5 - q. Let v = o + 1. Which is the closest to 0? (a) 2\/7 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*o - 15 + 2, j - 2*o - 18 = 0. What is the remainder when 47 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25113, -27251, -30801, -35751, -42089?\nAnswer: -49803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 - 12?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 382, 365, 336, 295, 242, 177, 100?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1503 is divided by 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 50*s**5\/9 - 275*s**4\/18 + 140*s**3\/9 - 68*s**2\/9 + 16*s\/9 - 3. Factor b(g).\nAnswer: 2*(g - 1)*(5*g - 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24409897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**2*p**2 + 62*m**2*p - 2*m**2 + 8*m*p**2 - 4*m*p + m + 4*p**2 wrt p?\nAnswer: -2*m**2 + 16*m + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 378316831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 + -51606?\nAnswer: -51556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196 (base 12) to base 13.\nAnswer: 16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 16402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2548 and 441?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.92 - 3.89. Let r = y + -0.03. Let w = r - 2.99968. Round w to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*x - 18. Suppose -g + 4*g - x = 0. Is (0 + -1)\/(g\/(-106)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 35*u**2 + u - 2. Give k(1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1380*v**5 + 2452753*v**4 - 1 - 2452753*v**4 - 40*v wrt v?\nAnswer: 27600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 509*b*k**3 - 2*b*k + 14930*b - 6*k**2 wrt k?\nAnswer: 1527*b*k**2 - 2*b - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 12 = 2*o + 4*f, 12 = -o + 2*f. Let j = o + 6. Let g be (-1*(2 - j))\/1. Solve b + 3*b = g for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-1) - (6 - 0). Let x(m) = -m - 3. Let u be x(l). Suppose 0 = c - 4*c - 5*w + 16, -u*w = -c + 20. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1686*l + 903*l - 35523 - 12610 = -291499 for l.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 91581, 183125, 274669, 366213, 457757, 549301?\n\"Answer: 91544*t + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.9 and -98?\nAnswer: -970.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 798 and 12?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 9 = 3*b. Suppose 2*w + b*w - 95 = 0. Calculate the remainder when 9\/4*(-16)\/(-1) is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11087.884 + 11448.88364. Let y = -361 + k. Round y to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*l + 6. Suppose 5*d - l*i = -10, 4*d - 14 = -3*i + 6. What is the highest common factor of d and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -98?\nAnswer: -9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105 - 103. Suppose 24 = 5*n - o, 0 = 4*n + o - 19 - g. Solve -n*i - i = -30 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 - (577 + -578 - (8 + -4 + 10))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hcxcf. What is prob of sequence hx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/4 - (-7)\/3150. Let g = t - -18\/25. Find w, given that 2\/3*w**2 + 2\/9 + 2\/3*w + g*w**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uupup. Give prob of sequence upup.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 107, -2\/7, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7605 and 85345.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21121 + -5?\nAnswer: 21113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 93 divided by 93\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*u - 1)*(-1 - 2*u + 1)*(1 + 0 - 7).\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 95271353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - -2 - (-2)\/14*-7. Suppose -5*g + x*g = -5*m - 83590, 0 = -g - 4*m + 16723. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8512 and 175889?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 135 and 18.\nAnswer: 2430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80239, -160403, -240567, -320731, -400895?\nAnswer: -481059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.29 - -2.71. Which is the closest to -0.3? (a) x (b) -1\/5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 2, h: 1, m: 2, n: 2}. Give prob of sequence mq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (6 + -1 - 14) - 7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/sqrt(4)*2 - (sqrt(143) + sqrt(143)*-3)\/sqrt(11).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -96, -178, -262, -348, -436?\n\"Answer: -k**2 - 79*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8*u - 16. Let r be i(2). Solve r*y + 3*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (2*2)\/2. Let i be 8\/5*10\/4. Let m = k + i. Is m at most as big as -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -52*a + 1034. Give j(21).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 789 + -564. Let f = -83 + x. What are the prime factors of f?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p. Let r(h) = 1361*h**2 + 194*h**2 + 848*h**2 - 338*h**2. Determine r(g(m)).\nAnswer: 18585*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 + 1221840*u**3 - 93302146008*u**2 - 559845866160*u - 839785294404.\nAnswer: -4*(u - 152733)**2*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/8 + 5\/8. Which is the nearest to -2? (a) 1\/6 (b) j (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 11*u**2 - 14. Let w(d) = -175635*d. Determine w(a(m)).\nAnswer: -1931985*m**2 + 2458890","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (12 - 6)) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 1344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.2 + -1. Let t = 75146 - 75145.6. What is the nearest to 3 in u, t, -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 30\/50*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4 + 0 - 4 - 6*v - 5 - v**2. Let i be z(-4). Find the first derivative of 4 - 10*j**i + 15*j**3 - 8 wrt j.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1365, -2730, -4095, -5460, -6825, -8190?\n\"Answer: -1365*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 78b9 (base 12) in base 5?\nAnswer: 412024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7208328 + -100720477\/14. Let v = d + -14001. Find the common denominator of v and -59\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586437?\nAnswer: 3, 195479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -13. Let p be d\/(-2 - -7 - 2). Solve 3*x = 5*q + 4*x - 3, p = -x + 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 3*h**2 - 2*h. Let r(w) = -15*w**2 - 14*w**2 + 1 + w**3 + 30*w**2 - w. Give l(a) - 2*r(a).\nAnswer: -3*a**3 + a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381 = -169*y - 71*y + 819 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 3. Solve -5*d - h*o = 1 + 2, -d + 5*o = -11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from cccccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from {r: 3, i: 2, m: 3, h: 4, w: 3, a: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y. Let q(c) = 71913*c**2. Determine v(q(i)).\nAnswer: -359565*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 6. Calculate the smallest common multiple of 1 and (-150)\/l + (-14)\/(-77).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2\/5*t**2 + 0 + 0*t - 1\/5*t**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6188*-0.5\nAnswer: 3094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(85) + -4*1*sqrt(85) - -4*-2*sqrt(85))\/((sqrt(360)*3)\/sqrt(8)))**2*-6.\nAnswer: -8164\/27 - 220*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -10. Suppose 0*q = p*q. Suppose q = -4*r + 3*r + 259. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 + 28*l + 9. Let d be (-2 - -1) + 410\/41. Let a be z(d). Calculate the highest common factor of a and 891.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 4. Let m be r(0). Let d be 2\/m + (-2)\/(-4). What is the units digit of 19\/5 + d\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 2*v**2 + v + 4. Calculate q(6).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*r + 1863 - 303. Suppose 4*a - 156 = -4*u, -3*a + 2*u + r - 34 = 0. Suppose -36*q = -a*q - 334400. What is q rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*q - 2*x + 424, 5*x = q - 60. Suppose -2*d = l - 40, -2*l + 5*d + 8 + 36 = 0. Calculate the greatest common divisor of l and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4 = -6*z. Let a(l) = -4*l + 20. Let h be a(z). Solve 16 = 2*y - h*s - 4, 16 = 2*y - 3*s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5545 + 3653 = 172*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3.3. Let l = 79\/20 - 15\/4. Suppose 22 = -3*j + 7. What is the second smallest value in z, j, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 10:43 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28028167 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 12 = -2*t, 0*t = 2*t + c - 2. Factor 11*g**2 - 1 - 5*g**t - 5 - 3*g**3 + 3*g.\nAnswer: -3*(g - 2)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15575 and 226381624?\nAnswer: 226397199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 109, 80, -203, -866, -2035, -3836?\n\"Answer: -21*z**3 - z**2 + 121*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 23206*d + 7611*d - 24432*d.\nAnswer: -40027*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, p: 3, h: 7, j: 2, v: 5}. Give prob of sequence hfhh.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399*y + 443*y = 880. What is the highest common divisor of y and 175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-1)\/(-16))\/((-3)\/20)*504\/(-19530)?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 - 2623*h**3 + 853*h**3 + 1775*h**3 + 0*h**2.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -296 - -109. Let w = -186.93 - q. Is w bigger than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1055 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**2. Suppose 4*u - 28 = -4*w, 5*w + 5*u = w + 33. Let n(i) = -4*i + 0*i + 2*i**w + 4*i. Calculate n(v(s)).\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1797410415 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5453551 millennia to centuries.\nAnswer: 5.453551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*f**2*n*p*z - 82944*f**2*p**3*z + 3*f**2*p**3 - 1361*f*n*p**3 + 7*f*p**2 + 2*n - 2*p**2 wrt z.\nAnswer: 14*f**2*n*p - 82944*f**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from niwll. What is prob of sequence wn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*g - 30 = 0, 5*g + 15 = -f - 9. Let w = f - 10. Let h = 47 - w. What is the greatest common divisor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**3 - 27*h**2 + 8*h + 8. Let y(k) = 2*k**3 + 18*k**2 - 5*k - 5. Calculate -5*t(l) - 8*y(l).\nAnswer: -l**3 - 9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - -0.2. Let q = -13 + 8. Let l = -0.45 + -0.05. Which is the closest to 0.1? (a) u (b) l (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.203 - 65.203. Let t = -63 - r. Let m = 1 - 0.8. Which is the second smallest value? (a) -0.6 (b) m (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.1 (c) 1\/3 (d) 3\/7 (e) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-24))\/(60\/16)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 388 + 4?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - (-19 + -18) - (3 + 18)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**7\/336 - w**6\/80 - w**5\/80 - 23*w. Factor v(c).\nAnswer: -c**3*(c + 1)*(c + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 912 and 226404?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 397700, 3181582, 10737830, 25452626, 49712152, 85902590, 136410122?\nAnswer: 203620930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 15, 11, 3, 0.16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - g**2 - g. Let d(o) = 128*o**3 - 4*o**2 - 3*o. What is -d(f) + 3*s(f)?\nAnswer: -131*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/120*6*4\/(-2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-112)\/448)\/(6\/8). Which is the second smallest value? (a) s (b) 1\/113 (c) -1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 3)*(4 + -3). Let y(r) = r**3 + r**2 - 6. Let g(d) = 2*d**2 + d - 3. Let k(n) = -2*g(n) + y(n). What is k(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**3\/5 + 9*i**2 - 297*i\/5 + 459\/5 = 0.\nAnswer: -51, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-8) - (-331)\/(-4). Let a be x\/34 - (-12 + 9). Let i = 446 - 446. Which is bigger: i or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4441 and 13324\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**5 - 44*x**4 + 10604*x**3 + 170412*x**2 + 795960*x + 1143072 = 0.\nAnswer: -49, -9, -4, -3, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i - 3. Let o = -30 + 50. Suppose -5*j = -o, -3*j - 32 = -5*k - 6*j. Let n be f(k). Solve -4 = -3*y + n*p, -5 = -2*y - 2*p + 3*p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-seven fifths of a litre?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 40 from 2318248676.\nAnswer: 2318248636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.184.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 6*b - 5. Let w be z(-5). Suppose 0 = -8*t + 3*t + w. What is the units digit of t\/(-1 + 5 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*o - p - 83, -35*p + 39*p - 5 - 7 = 3*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*c**5\/11 + 40*c**4\/11 - 14*c**3\/11.\nAnswer: -2*c**3*(c - 1)*(13*c - 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - 22 - (-13 + -4) - -13 - (3 + 8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 14 - 1. Let m(b) = 2*b - 29. Let o be m(-9). What is the common denominator of (o\/2)\/((-10)\/c) and 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -554253, -2217191, -4988757, -8868951, -13857773?\n\"Answer: -554314*n**2 + 4*n + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49720 and 6872.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4 + (3 + -1 + sqrt(3) - (sqrt(243) + (sqrt(243)*-2 - sqrt(243)))**2).\nAnswer: -971 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 9 = y, -5*y + 30 = 5*f. Suppose 0 = -3*j - 0 + 6. Factor 1\/2*w**2 - j - 15\/2*w**f + 6*w.\nAnswer: -(w + 1)*(3*w - 2)*(5*w - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-3 - -7 - 12) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5 + 0*r + 3 - 104*r**2 - 4*r + 3*r wrt r?\nAnswer: -208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2800709 or 81220594\/29?\nAnswer: 2800709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 646046877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j**3 + 3*j + 24. Let o(f) = 16*f**3 - 8*f - 73. Let n(v) = -8*i(v) - 3*o(v). Differentiate n(k) with respect to k.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*x - 331*x + 64*x + 182*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 - f**3 + 0*f**3)*(0*f + 4*f - f) + f**4 - f**4 + 2*f**4 + (-2*f**3 - 2*f**3 + 3*f**3)*(-5 + 5 - f) - 2*f**2 - 2*f**4 + 4*f**3 + 2*f**2.\nAnswer: -5*f**4 + 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -6 - -24 - 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 + 19 = 80*g - 390. Which is smaller: 41 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3\/((-78)\/22)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*13\/(130\/(-30))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-853317)\/(-90) + 1 + 13\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**3 + 79 - 148 + 69.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7485 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1100)*1)**2.\nAnswer: 60*sqrt(11) + 1109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -13284757\/15 smaller than -885650?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1446*x**2 + 559*x**2 + 0*x**4 - 251*x**2 - 373*x**6 + 0*x**4 wrt x.\nAnswer: -44760*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9193951 to the power of 1\/2, to the nearest integer?\nAnswer: 3032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 + 53.7. What is the nearest to l in -5, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y - 5*y + 6*y. Let o(b) = -9*b. What is o(t(r))?\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/2*a**3 + 81\/2 + 27\/2*a**2 - 81\/2*a = 0. What is a?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194, 193, 192?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 270226931 to the power of 1\/2, to the nearest integer?\nAnswer: 16439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3440 + 3453. Let x(h) be the second derivative of -1\/2*h**2 + d*h - 1\/20*h**5 + 0 - 1\/12*h**4 + 1\/3*h**3. Give x(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 5\/4*x**4 + 0*x**3 + 0*x**5 + 18*x + 0 + 0*x**2 - 1\/15*x**6. What is the third derivative of l(s) wrt s?\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 16 + 14 = 0. Let u(i) be the second derivative of -i**4\/12 + 7*i**3\/6 - i**2 + 2*i + 3. Calculate u(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + c**2 + 4*c**2)*(0*c + 0*c - 2*c) - 374*c + 1624 + 6*c**3 - 805 - 819 + 2*c**3.\nAnswer: 4*c**3 - 374*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3*k = -35, -4*h + 79*k + 94 = 73*k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - 5.5. Let m = -830 + 829.7. Which is the nearest to 1? (a) m (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 + 1 + 3 - l**2. Let t(n) = 3*n**2 + 11. Let j(f) = -4*t(f) + 11*z(f). Let s(h) = -h**2 - 2 + 2. What is j(s(m))?\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u**2 + 2. Suppose -4*w + 7 + 5 = 0. Suppose -28*v - 74*v + 176 = -14*v. Let z(j) = 5*j**2 - j - 3. Determine v*z(a) + w*o(a).\nAnswer: -2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4323*f + 4432*f = -654 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-1 + -8 + 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -25327 and 0.9.\nAnswer: -25326.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 49*x + 68. Let o be z(6). Suppose 3*a + 2*n = 202, -o = -2*a - 3*a + 3*n. What is the greatest common factor of a and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 37*l - 71. Let v be f(6). Is v at most as big as 152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4*72\nAnswer: -100.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, -13, -59, -105, -151?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v - 2*v + 2*v)*(-4 - 2 + 4)*(6 - 1 - 6) to the form y*v + i and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 322 + -321. Let f(x) = -10*x**3 - 3 + 2 - x**3. Give f(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 805202 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*((1 + sqrt(76))**2 + 3) + 5.\nAnswer: -2875 - 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147, 172, 213, 276, 367, 492, 657, 868?\nAnswer: 1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004688 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -1\/4, -2\/263, -4\/13, -0.1?\nAnswer: -2\/263","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/192 and -29\/3968.\nAnswer: 11904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (702510\/120)\/(2\/8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -457990.\nAnswer: 457990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14623 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/3))**(-8\/15) assuming r is positive.\nAnswer: r**(-16\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.7668 - -28.7668. Which is the fourth smallest value? (a) -1\/3 (b) 2\/21 (c) k (d) -10 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 24483433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200110101211 + -2?\nAnswer: 2200110101202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1431 = -25*i - 4556. Suppose 11 = -q - 5. Let n = q - i. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 1 + 14, 4*p + 10 = -o. Let h = o - -32. Solve -h*m - 8 - 2 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -2177\/34283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50 + 49*n**2 + 29*n**2 + 3*n**3 + 20 + 61 - 79*n**2 to l + y*n**3 + g*n + w*n**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2*1)\/(2\/(-21)*270\/18)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 146543148 to the power of 1\/2, to the nearest integer?\nAnswer: 12106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*z + 4530 = 186*z. What is the remainder when z is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-3\/2)*t)\/((t*t**(-1\/3))\/t))**(-9)*(t**(-2\/33)\/t*t**(-3))**(1\/22) assuming t is positive.\nAnswer: t**(-5579\/726)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 274 + -348.5. What is q rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -315 + 313. What is the nearest to -2\/7 in 0, v, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 229 - 224. Suppose -c*r + 8*r + 2*t - 19 = 0, -5*r + 33 = 4*t. Solve -2*h + h - r*m = 0, -5*h = 3*m - 22 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.07, -2\/7, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, s: 3, g: 1}. What is prob of sequence ssps?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 63.25 and 0.16?\nAnswer: 10.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23688420 is divided by 2961051.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 5*l + 3. Let g be k(-5). Let s(p) = -2*p + 4. Give s(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(-2)\/(-16) - (-7)\/2. Let h be (-6)\/3*-1*20\/8. Solve m = -0*m + 5*o, h*m - 28 = -b*o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*x + 906 = -118*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 959*f - 29735. Give x(31).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5 = -r. Let g(i) be the first derivative of -i**5\/60 - i**4\/6 + 5*i**3\/6 - 3*i**2\/2 - 2. Let p(z) be the second derivative of g(z). What is p(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 - -44050?\nAnswer: 44064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4 + 9 + 2*j**2 - 2 + 47*j**2 to the form h*j**2 + o*j + d and give h.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**4 + 308*n**3 - 47393*n**2?\nAnswer: 48*n + 1848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -3*l + x + 28, 0 = 5*x - 20. Suppose 0 = 5*r + l - 35. What is the tens digit of r + 55 + (-4)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k - 2. Let g(q) = -8*q - 10 + 0 - q + 6. Calculate 2*g(o) - 5*y(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2672 + 5323. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -28*v + 631, -3166*b + 50 = 2*v - 3164*b for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 78 = 6*f - f, -3*c = f - 134. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1930900 is divided by 4972.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -254334 (base 7) to base 6.\nAnswer: -1002203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 1776\/42 - (6 + (-280)\/49).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1566038 to the power of 1\/2, to the nearest integer?\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from xxxxxxxxxxxxxpxxxx?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3105315 (base 6) to base 15.\nAnswer: 2e1e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 110 + 66 - 3*b)*(-2*b + 21*b - 4*b).\nAnswer: -45*b**2 - 555*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -12801?\nAnswer: 12800.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 44.0103ns?\nAnswer: 0.0440103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuuuuuuujvuuuuj. Give prob of picking 2 j.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -36211, -144994, -326283, -580072, -906355, -1305126, -1776379?\n\"Answer: o**3 - 36259*o**2 - 13*o + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**4 - 3*f**4 + 2*f**4 + (-105*f**2 + 250*f - 250*f)*(6*f + 5*f - 3*f)*(-f + 0*f + 3*f).\nAnswer: -1678*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 21 = -4*v + 17, -v = -5*m + 7. Suppose 5*y + 4*r = v, 4*y - 7 = -6*r + 3*r. Is y a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 146646*c*i**2 - 3*c*i - 16521615*c + 7*i**2 wrt i.\nAnswer: 293292*c*i - 3*c + 14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 14*v**2 - 14*v - 13. Let u be n(15). Suppose 0*d + u = d. Solve 3*c = -d*y + 1, 5*y + 3*c = 2*c + 9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 divided by 94.\nAnswer: 32\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 greater than -4549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -5 + (-57 - -22) + 25.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(704) - (sqrt(704)*-1 + sqrt(704)))*-5 + sqrt(704)))**2 + ((4 + -1 + sqrt(396))*6)**2.\nAnswer: 1296*sqrt(11) + 194804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (27 + 24\/(-4))*(-62)\/(-6). Let y = -863\/4 + r. Calculate the common denominator of y and 55\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/18296384 and 31\/11957?\nAnswer: 201260224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 211 - 158. Calculate the remainder when 104 is divided by o.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1683 + -802. What are the prime factors of w?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-4 + -2) - 12. Let y(g) = g**3 + 6*g**2 - g. What is y(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37997*q**5 - 3939*q**3 + 177335540*q**2?\nAnswer: 2279820*q**2 - 23634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 109\/18 (b) 0.03 (c) -4\/3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l - 2 + 2)*(7*l - 11*l - 9*l) to b + f*l + p*l**2 and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*(a\/(a*a**(6\/5)))\/a*a*a)\/a**(4\/9))\/(a**8*a**(-3)))\/(a**(-13)*a**(-1)*a)**26 assuming a is positive.\nAnswer: a**(15046\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5 + 3. Suppose i = -b, 4*i - 3 - z = -5*b. Is 1500\/6 - (-2 - i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(504))\/sqrt(8).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1, -0.06, 2\/3, 3\/4, -1\/16?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20476, 40950, 61424?\nAnswer: 81898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 82544 and 283008?\nAnswer: 1981056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7664617 is divided by 55.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-4))\/((-3)\/(-66)). Let x = -74 + 88. Let b = q + x. Solve b*n = -c, 0*c - 5*c = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*s**5 + 7*s**4 + 13*s**3 - 52555*s**2.\nAnswer: -2640*s**2 + 168*s + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.1999960532 - 10.2. What is x rounded to 7 dps?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = 678 - 3226. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, t: 2, z: 4, c: 2, q: 1, e: 1}. What is prob of picking 1 e, 1 t, and 1 z?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u + 320. Determine k(51).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 4*m**2 + m - 1. Let k be t(-2). Suppose 0 = -k*i - j + 22, -10 = -i - 5*j + 4. Put 5, i, -5 in decreasing order.\nAnswer: 5, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -174 (c) -18 (d) -10 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dlc when three letters picked without replacement from {l: 3, y: 5, w: 6, d: 1, x: 1, c: 1}?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70677890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.3 - 4. Let t = 3.5 + -0.5. Let u = 2.9 - t. Which is the nearest to -1? (a) 2 (b) u (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/4)*z**(1\/3))\/(z**(1\/3))**7 assuming z is positive.\nAnswer: z**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/27 + (-36623)\/(-2385) + 19. Suppose -j*t - 1\/5*t**2 - 7569\/5 = 0. What is t?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16391 by 7166.\nAnswer: 16391\/7166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 3, 667, 2\/11, -667?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1 + 0 = 0. Suppose 3*c = 87 - 27. Find the common denominator of -1 - (h + 110\/(-6)) and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7935131 is divided by 24875?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1466 divided by 32516?\nAnswer: 733\/16258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-771*g + 3242 - 3242)*(4 + 1 + 5 + (-2 + 1 - 1)*(0 + 0 - 2)) as a + f*g and give f.\nAnswer: -10794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 104?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 119*s**2 - 33*s**2 + 4 + 69*s**2 + 33*s**2 + 109*s**2 as c*s + k + z*s**2 and give z.\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m. Let x be f(-1). Suppose 2 - x = w. What is the first derivative of 0 - w - 3 - 5*s + 10*s wrt s?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**2 - 2706*x = 0.\nAnswer: -1353, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2169 + 23875\/11. Let q = -323 - -324. Are q and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z + 3. Let o be u(2). Let g = -42.896 + -0.104. Let f = -45 - g. Which is the smallest value? (a) -0.5 (b) f (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3 + 9580*v**2 - 191000*v + 954000 = 0. What is v?\nAnswer: 10, 4770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.7 + -4.7. Which is bigger: b or -17?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 + d**4 - d**2 + (-2*d - d + 0*d)*(23*d**2 - 10*d**3 + 9*d**3 - 21*d**2 - 39) to the form q*d**3 + n*d**4 + k*d + l + c*d**2 and give k.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14335.69108 - 0.94108. Let l = r + -14282.750062. Let x = -52 + l. What is x rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1176156 = -3*o. Suppose 0*w + 4*w = 152312. Let k = w - o. Round k to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d**3 - 57*d**2 + 39*d + 18. Determine x(-12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 370, 1214, 2620, 4588, 7118, 10210, 13864?\n\"Answer: 281*k**2 + k + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 43 = 4*d, -201 = 4*d - 173 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 4 - 10) + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 3\/47 (b) 0.07 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006062 rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 6*v + 8. Give a(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 4)*(-4*u + 3*u + 3*u) + 1 - 1 + 2*u - 1 + 1 - 2*u + (17*u - 10*u + 11*u)*(6 - 1 + 0) - 3*u + 4*u - 2*u + (u + 0 + 0)*(4 - 6 + 1) - u + 0 + 0.\nAnswer: 83*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*a - 51 = 0, 5*h - 3*h = a + 81. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 6.2. What is t rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116 and 754?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 - 9*i + 24. Let s be v(2). Let m be 6076\/(-29667) - s\/11. Which is smaller: 4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 609783439.\nAnswer: 21757, 28027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (152\/3)\/(2\/3). Calculate the greatest common factor of y and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 6*f - 5. Suppose 3*m = m + 10. Let o be s(m). Suppose 3*x - 2*h = -x + 64, o = 5*x - 3*h - 81. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 82? (a) -4 (b) -6 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r**5 + 9467*r**4 + 288*r**3 - 540*r**2 + 4868*r - 3 wrt r?\nAnswer: -60*r**2 + 227208*r + 1728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1. Let l(i) = i + 9. Let t(r) = l(r) + 2*s(r). Calculate t(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2\/9 - 1022968*x\/3 + 130807941128 = 0.\nAnswer: 767226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - (3 - 18)\/(-15))*(-2)\/(-32). Find t, given that 11\/2 - 5\/2*t - v*t**2 = 0.\nAnswer: -22, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3677 is divided by 368?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -39*q + 4. Let v be y(-6). Suppose -5*b = 93 - v. Let x = 142 - b. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 - 53*i + 123. Let c be b(4). Suppose -4*a - 3*u + 180 = -6*u, 64 = a + 4*u. Let l = a + c. What is the remainder when l is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (880\/308)\/(4\/(-14))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 6 - d - 22\/9*d**3 + 1\/9*d**6 - 7\/3*d**2 - d**4 + 1\/15*d**5. Factor k(w).\nAnswer: (w - 3)*(w + 1)**3*(2*w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8826 = 4*y - 2*y. Let n be (-1727460)\/392 + (-2)\/2. Let b = n - y. What is the common denominator of 79\/10 and b?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -8*r**2 + 0*r - 6*r + r. Suppose -i - i = 2*u - 10, 0 = -3*u - 2*i + 14. Let h(o) = 4*o**2 + 3*o. Let f(j) = u*m(j) + 7*h(j). Give f(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -220*g - 2217. Determine o(-10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 4*q + 2. Let b(f) = f**3 - 12*f**2 + 13*f - 15. Let h be b(11). Suppose -h*m + 3*m + 15 = x, 0 = -3*m + 3*x + 15. Determine t(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 3*v - 4, 39 = v + 5*g + 15 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/228 and 125\/684?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*x - 18 = 0, 4*u + 2*x - 12 = 8. Let w(l) = -3*l - 3. Let r be w(-2). Solve -2*s + 2 = -2*n, 0 = -2*n + u*s + r - 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -1 + 2*t**2 + t - 2*t**2 + 2*t - t**3. Let c(p) = -4*p**3 + 10*p - 2. Let a(f) = 3*c(f) - 10*k(f). Differentiate a(n) with respect to n.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 822, 109, 8 in descending order.\nAnswer: 822, 109, 8, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -i - 38*i - 201, -2*i + 27 = 37 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -40010, -40533, -41056?\n\"Answer: -523*g - 39487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y - 5*y - 9*y + 440. Calculate the greatest common factor of y and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 3*k - 12 - 8, 0 = 2*k - 8. What is the second derivative of -m*c**5 + 6*c**5 - c + 2*c wrt c?\nAnswer: 80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 3*d. Let q = 808 - 481. Let f = q - 319. Which is the closest to d? (a) -1\/3 (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -22*l - 1. Let z(w) = -62*w - 4. Let b(p) = 17*h(p) - 6*z(p). Suppose 0 = 3*k + k - 20. Let i be b(k). Let a(u) = -u - 4. Give a(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 16 (b) -1\/7 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 196275 and 125?\nAnswer: 981375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 137537064 in increasing order.\nAnswer: -1, 0, 137537064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12089 by -2406.\nAnswer: -12089\/2406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74972.5 litres to millilitres.\nAnswer: 74972500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -132*y - 2. Let v be 2*1*16\/(-32). What are the prime factors of t(v)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(-5*(-12)\/(-80))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 6*d**2 + 183*d - 1223. Determine v(7).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4725375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a**4 + a**2 - a**2)*(-44 - 22 + 3) - 5*a - a + 6*a + 42*a**4 to the form m*a**3 + v*a + q + c*a**4 + y*a**2 and give c.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23659.9 and -2.9.\nAnswer: 68613.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -2\/1399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (-1 + 5 + -31 + 32 - 3)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 403 and 68107?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001 (base 2) in base 4?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 2*s + 2*s**2 + (0 - s + 0)*(-s - s + 0*s) + 2*s**2 + 2*s - 2*s - 2 + s**2 + 2 - 689*s**2 + 2*s - 7*s + 261*s**2.\nAnswer: -421*s**2 - 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, r: 2, z: 1}. Give prob of sequence zjj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.069 + -79.069. Let u = h - -78.9999804. Round u to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 67*g - 6. Let t(w) = -w + 1. Let k be (-70)\/22 + 8\/44. Let c(u) = k*m(u) - 15*t(u). Let y be c(-1). What is the highest common factor of 21 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) -4\/5 (c) -3\/2 (d) -0.3 (e) 0.2 (f) -2\/781\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1254248 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11902, 30, -2 in decreasing order.\nAnswer: 11902, 30, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.845787 millilitres to litres.\nAnswer: 0.006845787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -13. Let m = -5 + 4. Sort q, 4, m in increasing order.\nAnswer: m, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 5*h - h**2 + 7*h**2 - 4 - h**3. Let d be t(4). Suppose -d = v - 5*v. Solve g - 5*w = -v, 5*w = 5*g - 3 - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9005*g**3 - 12614*g**3 - g**2 - 2 + g**2.\nAnswer: -3609*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -11*o + 26. Let k(h) = -32*h + 85. Determine 4*k(a) - 13*s(a).\nAnswer: 15*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3) - 49\/(-21). What is the biggest value in 0.4, k, -2\/13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/36)\/((3\/(-40))\/((-24)\/(-20))). Which is the nearest to 1\/5? (a) -5 (b) -74 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5096820.\nAnswer: 2, 3, 5, 84947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 10*v**2 + 5*v - 7. Let q = -12 + -8. Let f be q\/8*(-5 - -3). What is the tens digit of x(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -137 + 134. Let u = -2 - -1.9. Let o = -5.6 + 6. Which is the biggest value? (a) o (b) z (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 3. Suppose 8*t = n*t + 81. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(1056\/(-33))*(-1)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 741515447?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**2 - 9. Let r(p) = p**2 - 2. Let t(c) = -9*r(c) + 2*u(c). Let l(g) = 2*g**2 + 19*g. Determine t(l(k)).\nAnswer: 4*k**4 + 76*k**3 + 361*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 342*r**2 + 9365*r + 3719162. Determine u(-346).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 10 + (0 - (23 + -11) - -36)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (76 - (60 + -58)) + -75?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4286565?\nAnswer: 3, 5, 95257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3928862278 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-22 - -1) - -8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - (-18)\/(-3))\/(1\/58). Let l = 144 + f. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*z + 10 = 0, -3*z = -m + 10 + 6. Let r be 235694\/24024 + m\/(-35). Let l = 56\/143 + r. What is the common denominator of -85\/16 and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(-26) + (-105)\/(-98).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 450141 or 450156?\nAnswer: 450156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + -172030?\nAnswer: -172040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -3609.\nAnswer: -3609.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*w + 6. Put -4, -1, 1, w in ascending order.\nAnswer: -4, -1, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 149 + -d?\nAnswer: 13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31.7 - 29.7. Suppose r + 10 = 6*r. Which is the closest to t? (a) 4 (b) r (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2392 and 2553?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14056 + 7*(-160)\/70 a multiple of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 2154660.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**4 + 26515*p**3 + 2*p**2 + 32*p + 28108?\nAnswer: 24*p**2 + 159090*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m - 4. Let j be r(3). Suppose 42 = 2*y + 4*i, -3*y + i + 21 = -j*y. Let v = 0 - -21. Calculate the highest common divisor of y and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 65 = 4*s. Suppose 0 = -3*h - 14 - 4. Let m = s + h. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**7\/5040 - g**6\/720 - g**5\/60 - 2*g**2. Let w(l) be the third derivative of q(l). Give w(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 585 - 603. What is the third biggest value in -5, -7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115 + 118. What is the fourth biggest value in -0.05, u, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.5 - 9.8. Let o = -0.37 + 0.07. Let t = m - o. Which is the closest to 1? (a) t (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49281571 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 606 minutes before 6:29 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4004 = -3*f - 4*p, 0 = -28*f + 23*f + p + 6635. Let h = f - 11980\/9. Which is the smallest value? (a) 2\/7 (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5475 divided by -22\nAnswer: 5475\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*c = -60*c. Let q be (3\/4*2)\/(60\/160). Solve c = -6*o + q*o - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 82. Let j = -24 - -46. Calculate the remainder when m is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19050 divided by -278\nAnswer: -9525\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (6 - 6) - -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (-2)\/4*-6. Let o be (3\/9)\/(k\/(-9)). What is the remainder when 13*(-55)\/(-5) + o is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 divided by -13?\nAnswer: -255\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b**2 - 103*b + 325. Let l be f(3). Solve 44 = -l*v + 460 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5432, 5473, 5512, 5549, 5584?\n\"Answer: -i**2 + 44*i + 5389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*o - 72*o + 20. Suppose c = -4*f + 2*f + 14, -7 = c - 5*f. Suppose c*b = 10*b + 4. Is o < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -257*n**3\/3 + 3205. Let r(i) = 22*i**2. What is r(a(h))?\nAnswer: 1453078*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**3 + 59*b**2 + 747*b - 22. Determine k(-9).\nAnswer: 950","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -2, -0.2, -2847?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 306*s**2 + 4982*s + 1524501. What is r(-306)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35a0 - 121?\nAnswer: -3701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 63*r**2 + r. Let s(p) = p**2 - p. Let x(d) = 6*d**2 - 5*d. Let g(t) = 5*s(t) - x(t). Determine g(m(q)).\nAnswer: -3969*q**4 - 126*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4125 from -0.1.\nAnswer: -4125.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -59. Let j = -29 - x. Let u = 0 - -0.2. Which is the closest to j? (a) 2 (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.4 (b) 0.3 (c) 125 (d) 0.6 (e) -1\/4 (f) 6 (g) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 178.3616ns in microseconds?\nAnswer: 0.1783616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 2\/(-2))*5. Let x(o) be the second derivative of -o**5\/20 + o**4\/2 - 2*o**3\/3 - o**2\/2 + 2*o. Let g be x(q). Solve g*m - 3 = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + 221?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1036 and 448?\nAnswer: 16576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11100 and 862100?\nAnswer: 2586300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57617 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92744884.\nAnswer: 2, 67, 401, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1332560 divided by -10.\nAnswer: 133256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16153794.\nAnswer: 2, 3, 897433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 - -229\/4. Suppose 0*s = 5*s - 45. Let h = s + -5. Which is the closest to l? (a) 1 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 263 by 6.\nAnswer: 263\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 7242270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 3*c**5\/40 - 29*c**4\/24 - 8*c**3\/3 - 30*c. Let q(v) be the second derivative of g(v). Is 5 a factor of q(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 + -63. Let s = -31.05 - -28.05. What is the second smallest value in w, s, -19?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*u - 170 = 0, 4*u - 5*u + 78 = d. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -12. Let s = j - -11. What is the remainder when 10 - (-2)\/(s\/9) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 125 + 161 - 378 + 119 - 111*m to b*m + g and give g.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l - 343 - 252 = 0. What is the remainder when l is divided by 33?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 27*f - 12. Suppose 0 = -526*z - 5447 - 865. Suppose -m = 4*m - 30. Let q(p) = -m*p - 8*p + 5 + 3*p. Determine z*q(l) - 5*v(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 322b12?\nAnswer: 322b11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 332895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, -0.08, -2.3118, 1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1179.\nAnswer: 4\/1179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1113964?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 25*u + 351. What is i(-28)?\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -28*a**5\/65 + 79*a**4\/26 - 20*a**3\/13 - 83*a**2\/13 + 80*a\/13 + 2934. What is x in d(x) = 0?\nAnswer: -1, 1\/2, 8\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g + 12 + 1456*g**2 - 1457*g**2 + 10 to q*g**2 + f*g + n and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 + 23*a - 4. Is p(17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8443753.56 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128)\/(-576) - (-2 + (-3 - (-124)\/(-9))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**2*o + 295*j**2 + 23*j*o - 5*o**2 wrt o.\nAnswer: -j**2 + 23*j - 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -17\/2*o**3 + 0 + 3*o + 0*o**2. Is a(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 233*k**3 - 8*k + k - 970*k**2 + 5*k + 2*k wrt k.\nAnswer: 1398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.1 - -44.1. Let x = y - 73. Let q = 49.5 + x. What is q rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((-11 - -6) + (-1 - 3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 4*h + 5. Let l be m(-4). Suppose l = -2*u + 27. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p - 114 = 21*p. Let u = 161 - p. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**8\/112 - v**7\/10 + 7*v**6\/40 + 23*v**5\/20 - v**4 - 8*v**3 + 21*v**2. Suppose d(h) = 0. What is h?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 830\nAnswer: 7470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 36 + 8 + -33?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -10. Find the first derivative of 6 + 12*f**z - 2*f**4 - 12*f**2 wrt f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3752976 is divided by 124?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1308043, -1308044, -1308045?\n\"Answer: -n - 1308042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 1)*(-18)\/3. Let w be 32998\/z + (1\/3)\/(-1). Round w to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5 + 1342*l**4 - 2687*l**3 + 1344*l**2.\nAnswer: l**2*(l - 1)**2*(l + 1344)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 3*c**4\/4 + 15*c**3 + 225*c**2\/2 + 375*c - 7. Factor d(o).\nAnswer: 3*(o + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 1. Suppose 3*g = 5*z - 6 - 7, -w*g + 33 = 5*z. Suppose -5*x = 5*m - 285, 4*m + 321 = z*x - 0*m. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*-25254.\nAnswer: 757.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115623.\nAnswer: 3, 29, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -157307.\nAnswer: 47192.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2711 to the nearest 100.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31307601989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3 + 4*q + 3*q - 4*q - 4*q. Is f(-3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 15*w + 4. Let l(y) = 44*y + 11. Let m(d) = -3*l(d) + 8*x(d). List the prime factors of m(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52\/4297739 or 0?\nAnswer: -52\/4297739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n - 129 + 197 - 151 to j + q*n and give j.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 91 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -31 + 35 - (0 - -5). Let i = 5 + -9. Which is the nearest to -2? (a) 4 (b) i (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*374\/1056*-2*(-3)\/(-3)*-12?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 5*s + 90. Let x be n(25). What is the greatest common divisor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 966500 divided by -193300\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 6*s + 3. Let w be n(-7). Sort -3, 4, w in ascending order.\nAnswer: w, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3993 - 3992.8119. Round x to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81)\/(-6) - (405\/(-30))\/27?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.532 plus -2?\nAnswer: -2.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389887116?\nAnswer: 2, 3, 32490593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16673 or 4341?\nAnswer: 16673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**3\/3 - h**2 + h - 1. Let l be 0 - -2 - (-1)\/(-1). Let o(g) = g + 2 - l - g**2 - 2. Calculate 4*o(v) + 2*z(v).\nAnswer: -2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016\/1709 at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168618 divided by -6.\nAnswer: 28103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*j + 18 = 41*j - 8 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a**2. Suppose 0 = -2*u - 3*j + 17, -17 = 2*u + u - 4*j. Let h(o) be the first derivative of 2*o**2 + u - 4 - o**2 + 0*o**2. Give n(h(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - -6. Let j(h) = -h**2 + 20*h + 6. Let p be j(16). Calculate the remainder when (-2)\/(-5) - (-2002)\/p is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 3\/4, -0.1, 14 in decreasing order.\nAnswer: 14, 3\/4, -0.1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 84?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -141274?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 988688679?\nAnswer: 3, 11, 29960263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-2) + (-3 - 13). Let j = -13 - a. Find the second derivative of -4*f + j*f - 4*f**4 - f + 9*f**4 wrt f.\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ktk when three letters picked without replacement from ttuzskkskkt?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 185 divided by 29778\nAnswer: 185\/29778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3690 divided by -5?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 - x - 6. Let n(z) = -z**3 + 9*z**2 + 8*z + 14. Let c be n(10). Let u(m) = 4 - 3 + 0. Give c*u(t) - b(t).\nAnswer: 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10692021 to the power of 1\/2, to the nearest integer?\nAnswer: 3270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6399 and 648?\nAnswer: 51192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/4, 6, -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + 27. What is the greatest common divisor of y and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 5, -12, 7.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.17766 litres in millilitres?\nAnswer: 88177.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3066681 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 4 = 9*j. Let t(a) = 15*a + 5. Is t(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-28)*1\/(-21)*-4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15, 28, 57, 108, 187, 300?\n\"Answer: d**3 + 2*d**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12463.\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 8. Suppose -43*z + 40*z + 123 = b, -257 = -2*b + 5*z. Suppose b + 252 = q*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 818.71347 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-3*sqrt(108) + sqrt(108))*6 - sqrt(108)) + (sqrt(2916) + -2*sqrt(2916) + sqrt(2916))\/(-2*(sqrt(12) + sqrt(300) + sqrt(12))))**2*1.\nAnswer: 164268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 2*z + 55 = 0. Solve 0 = -4*o - z - 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + -3 + 2)\/((-826)\/(-1180)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 28*p**3 - 50*p**2 + 22. Let s(j) = -4*j**3 + 7*j**2 - 3. Let g(b) = 44*s(b) + 6*t(b). Find the third derivative of g(d) wrt d.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 55109 and -334175?\nAnswer: 389284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - -2 - 2)\/((-1)\/6). Let p = -2 - -5. Suppose 0 = 4*j + 4*m - d, -6 = 2*j - p*j - 5*m. Calculate the highest common factor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 59*v**2 + v - 4 - 54.\nAnswer: -59*v**2 + v - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 177, 3034, -4.\nAnswer: -4, 2, 177, 3034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.06 (b) 0.042 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - o + 135, -2*p - p + 3*o = -63. Suppose 0 = -p*i + 25*i + 132. Does 33 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23159*m**3*u**3 + 1310678*m**3*u + 42*m**3 + 197*m*u**3 wrt u?\nAnswer: -138954*m**3*u + 1182*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 12) to base 7\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2512 by -2.\nAnswer: -1256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14036)\/(-6292))\/((28\/546)\/(4\/6))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2219 + 0.1519. Which is the third biggest value? (a) 4 (b) 1 (c) f (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 14 = -4*y - 0*y, 0 = v - 4*y + 23. Which is the second smallest value? (a) -0.2 (b) v (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1660 and 7802?\nAnswer: 78020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5762552 litres to millilitres.\nAnswer: 576.2552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3088752 to the nearest one thousand.\nAnswer: 3089000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgq when three letters picked without replacement from {o: 2, g: 1, q: 1, t: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t + 3 + t - 4. Let v be c(1). Let r be v\/(-6)*(8 - -1). Solve 0 = -k + 2*z - 3*z + 2, r*k - z = -6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35601040 divided by 2140?\nAnswer: -16636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (11 + 1 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 50 - 7?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*t + 9 = 0. Suppose -3 = l, 4*v - 3 = -0*l - 3*l. Let b = v + -1. Solve -h = b + t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -128*s - 1404. Let v be t(-11). Let f(h) be the first derivative of 0*h + 0*h**3 + 27\/2*h**2 - 2*h**v + 5. Find the second derivative of f(l) wrt l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205035 - 748*z**3 - 205027 + 410062.\nAnswer: -748*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k**4\/11 - 7266*k**3\/11 + 9726*k**2\/11 + 2418*k\/11 - 4860\/11 = 0. Calculate k.\nAnswer: -405, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**(-1\/3))**23)**(-6))**(-1\/80))**(-5\/14) assuming r is positive.\nAnswer: r**(-23\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1025 and 63\/100.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -9086, -4, 5 in decreasing order.\nAnswer: 5, -4, -9086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -278.92 - -86.91. Let o = j + 192. What is the closest to -1 in -3\/5, o, 3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 936 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shskxhnexhx. Give prob of picking 2 h.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1120 = -5*s, -17*s + 22*s - 1102 = 4*x. Calculate the greatest common divisor of 12 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.3 (b) -1\/8 (c) -2\/13 (d) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1012 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4255, -7991, -11209, -13909, -16091, -17755?\n\"Answer: 259*x**2 - 4513*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6337 + 6342. Sort t, 3\/8, 271 in decreasing order.\nAnswer: 271, t, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - -34?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 21. What is the tens digit of (i\/4)\/(4\/32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-23)\/6)\/(9\/(-27)). Let o = d - 85\/8. Calculate the common denominator of 27\/8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97733*y**2 - 542 - 97729*y**2 + 3*y**3 + 542.\nAnswer: 3*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297 divided by 3.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 15*w**2 - 5*w - 42. Let z(i) = 7*i**2 - 3*i - 21. Let g(v) = 3*m(v) - 5*z(v). Find the first derivative of g(k) wrt k.\nAnswer: 20*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*v - 7. Suppose 4*n = k + v*k + 355, -k - 470 = -5*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214635330 + 214635330 + 6*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/1833 - 188899\/91650. Find the common denominator of f and -167\/30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**5\/15 + f**4\/2 + f**3\/6 + 4*f**2. Let j(u) = 5*u**2 - 79*u - 24. Let q be j(16). What is the tens digit of c(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 3289596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*l + 2108 = 286*l for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5666 is divided by 105?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 less than or equal to -9726\/383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1.22, 0.1, 3\/5, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 370224617 to the power of 1\/2, to the nearest integer?\nAnswer: 19241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 20*f**2 - f - 8. Let i = -14 - 6. What is the remainder when 45 is divided by v(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -124 - -128. Find the second derivative of 27*b**4 - 18*b**s + 39 - 39 - 20*b wrt b.\nAnswer: 108*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 25*q**2 - 85*q - 14. Let c(k) = -4*k**2 + 23*k + 356. Let j be c(13). Calculate l(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*y - y + 63 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*87\nAnswer: 69.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21090 = -29*j - j. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68973 and 146533.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 10. Let l be r(10). Suppose 4*s - 56 - 4 = l. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q. Let u(b) = -3*b + 9*b - 2*b. Suppose -3*f + 10 = -8*k + 3*k, 3*k = 3. Let t(z) = f*o(z) - u(z). Give t(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 10*j + 4. Let p(m) = 2*m**2 - 19*m + 8. Let o(y) = 11*g(y) - 6*p(y). Let n be o(3). Let d = 26.5 + -26.3. Is d less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20 (b) -5365 (c) -3\/4 (d) 5 (e) -12 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2710121?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 845.2584 weeks?\nAnswer: 5916.8088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 1. Suppose -2*k + 12 = -v*l, 32 = 5*k - 4*l - 4. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - w = -14, -g + 14*w - 18*w + 21 = 0. Let j(h) be the third derivative of -1\/80*h**g + 1\/16*h**3 + 0*h + 0 + 1\/64*h**4 - 36*h**2. Factor j(z).\nAnswer: -3*(z - 1)*(2*z + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86935 is divided by 42758?\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22100011012222 + -12221?\nAnswer: -22100011102220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2093695 to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*(sqrt(44) - sqrt(11) - sqrt(11)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8453 or -1?\nAnswer: -8453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/24 and 97\/80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((1 - -3) + (3 - 8) + 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.2 in -0.4, 1, -384.7, -1, 3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1335, 5428, 12279, 21894, 34279, 49440?\n\"Answer: b**3 + 1373*b**2 - 33*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 + -11 + -14)\/(44950\/372 + (-2)\/(-12))?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from {l: 3, e: 3, q: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**5 + 20*h**4 - 180*h**3 - 1490*h**2 - 2941*h - 1650 = 0.\nAnswer: -25, -3, -2, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2569716074 rounded to two dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12539 from -15.02.\nAnswer: -12554.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -108*c - 4. Let v(u) = -215*u - 9. Let k(d) = 7*s(d) - 3*v(d). Suppose -3*g = -5*n - 16, 3*n - n - 4*g + 12 = 0. Is k(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**4\/24 + 5*h**3\/3 + 4*h**2. Suppose 3*l - 13 - 5 = 0. Let m be z(l). Solve 0 = -m*p - p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/56 and ((-3)\/(-40))\/((-7)\/(-1092)).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/50 in 2\/3, -1, 0.1, -216\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 5915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -12670*a**2 + 49*a**3 + 19 + 12674*a**2 - 21 in the form l + r*a + v*a**3 + i*a**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5384 and 264.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*o = 3*x - 27, -2*o - 1 = -3*x. Calculate the remainder when x - 0\/(-3)*1 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 = -6*b + 28. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*4\/(-80) - (-5)\/75?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-10500)\/56)\/(-5)*(-1)\/((-6)\/(-4)))?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from ldwwdddlvwv?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o. Suppose 3*p - 9 = -5*y, 20 = -4*p + 4*y - 0. Let x(n) = 5*n + 34. Let z(u) = -u - 7. Let m(t) = p*x(t) - 11*z(t). Determine m(d(c)).\nAnswer: -2*c + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d\/(d*d\/(d\/(d*d*d**(-2\/37)*d)))*d**(2\/9)*d**(-4\/7)\/d**13 assuming d is positive.\nAnswer: d**(-33322\/2331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -8*a - 12, 4*j - 5*a + 41 = 0. Suppose 5*x - 9 = -5*z + 21, x - 8 = -3*z. Put -5, x, j in increasing order.\nAnswer: j, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2. Let p(x) = -168*x + 5. Let v(q) = -82*q + 2. Let t(s) = 2*p(s) - 5*v(s). Calculate t(m(j)).\nAnswer: -74*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 28413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305*y**3 - 302*y**3 + 8*y**2 - 8*y**2.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -0*b - 5*b + 7, -9 = 3*s - 3*b. Let y = 1 + s. Let v(g) = g**3 + g**2 + g + 11. Is v(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27950?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20420, -40840, -61260, -81680, -102100, -122520?\nAnswer: -142940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.5759 and 34270.\nAnswer: 54006.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 27*z**2 - 5*z - 139. Is c(23) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**4 - 2*y**4 + 6*y**4 + (-10*y**2 - 13*y + 13*y)*(0*y**2 + y**2 - 3*y**2) + (5*y - 4*y + y)*(y**3 - y**2 + y**2).\nAnswer: 24*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-5))\/(1\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78220085?\nAnswer: 5, 271, 57727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npnp when four letters picked without replacement from nnnpppnnpppnn.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m + 15*m + m - 29*m + 2*m**4 + 20*m - m**2 - 3*m**3 - 13 to the form n*m**4 + d + k*m + g*m**3 + b*m**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -8036*m - 938. Let l(h) = -4012*h - 469. Let z(i) = 6*j(i) - 13*l(i). What is the first derivative of z(k) wrt k?\nAnswer: 3940","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -573 - -613. What is the greatest common divisor of 60 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010362 rounded to five decimal places?\nAnswer: -0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 13. Let v(p) = p**2 + 11*p - 16. Let o be v(-11). What is the remainder when 10 is divided by s(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3364*k + 99466. Give b(-28).\nAnswer: 5274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802063.\nAnswer: 31, 25873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by -69\nAnswer: -35\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 + -49 - (-4 - -10).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25.92 + -28.92. Which is the third smallest value? (a) 14 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 0*c**4 + 2*c**4 + c**3 + c + 0*c**4 + (5*c**3 - 2*c**3 - c**3)*(-2*c + c + 2*c).\nAnswer: 4*c**4 + c**3 + c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -6*o**2 + 17*o**2 - 9*o**2 - o**2. Let p(l) = -20*l - 24. Let h(k) = k + 1. Let a(u) = -24*h(u) - p(u). Determine a(c(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 27*y + 28. Give x(26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/2 + 3 + -2. Let v be (2 + -10)*g\/(-4). Suppose 8*k = 17 + 15. Solve -2*f = -4*u - k, -5*f = -v*f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*n**2 - 9*n + 9*n)*(n + 0*n - 2*n)*(-2*n + 2*n - 2*n) + (2 - 2 + n**3)*(0 + n + 0).\nAnswer: 21*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in -1\/6, 14, 4, 87?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**2 + 1. Suppose 9*c + 9 + 0 = 0. Let x be k(c). Let h(r) = -2*r**2 - 2*r - 1. Determine h(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.032088102 to five decimal places.\nAnswer: -0.03209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + 0. Let c = 40.1 - d. What is c rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*z = -317*z + 1116 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 24*v - 71. List the prime factors of d(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * -9350.52.\nAnswer: 177659.88","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-10) + 368004\/520. Let k = -88 + i. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -119 + 474. Suppose -5*l + z = 10. Does 23 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 4378101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-26)\/1)\/(2*-1). Let v = -99 + 190. Calculate the highest common divisor of j and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 76 + 10750*s**3 - 202926*s**3.\nAnswer: -192176*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 698761.53 minutes to days.\nAnswer: 485.2510625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, -8, 3 in descending order.\nAnswer: 6, 4, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -1631034*q + 1631122*q + 5 - 13. Let j(z) = 59*z - 5. What is 5*f(m) - 8*j(m)?\nAnswer: -32*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4263839715?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -80*p - 2. Is m(-1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 3 (c) -7 (d) 28\/5 (e) -2999\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 118 (b) -2496 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -5. Let y = -6 + r. Let t = -1436 + 1433. What is the second biggest value in -0.4, y, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1558.000000851 + -1558. Round k to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 2017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -500864, -500862, -500860, -500858, -500856?\n\"Answer: 2*r - 500866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 128 and -75.8.\nAnswer: 52.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -85, -322, -709, -1246?\n\"Answer: -75*k**2 - 12*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 = -o + 3, -z + 1 = -2*o. Let m be z\/2 - 14\/(-4). Solve -19 = -3*s + a + m*a, 2*s = -a + 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -175*l + 19. What is the hundreds digit of s(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1123025 (base 6) to base 11\nAnswer: 3a385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 407576736 divided by 1722\nAnswer: 236688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.42 and 173433.\nAnswer: 593140.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 8*s**2 - s - 5. Let f be ((-6)\/(-1))\/(30\/(-40)). Let t be j(f). Solve -t*r + 0*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-10)\/(-40)*-4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28594 divided by 14297?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10706 (b) -5.6 (c) -3\/5 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 3, 38, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212550 divided by -7085.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + p = 68 - 9669, 5758 = 3*o + 2*p. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2. Let u(b) be the third derivative of b**7\/1260 + b**4\/8 + 3*b**2. Let z(h) be the second derivative of u(h). Give z(n(o)).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-15))\/((-132)\/440)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 13*x - 18. Let d be m(-2). Solve -d*z = 5*h - 0*h - 23, z + 1 = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 7*g**2 - 226*g + 21*g**2 - 5 + 229*g. What is the tens digit of x(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (271*r**3 + 149*r - 149*r)*(9*r**2 + 7*r**2 - 12*r**2).\nAnswer: 1084*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*c + 8, 8 = -3*k + 5*k. Calculate the greatest common divisor of c and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28992.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) -35 (c) -7\/74 (d) 58 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4069, -8142, -12215?\n\"Answer: -4073*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 25 = 5*q, -7*r - 20 = 17*q - 15*q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**2 + 3*p**2 + 5*p**2 + (3 - 4 + 0)*(-5*p**2 + 2*p**2 + 2*p**2).\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2261560 or -2261557?\nAnswer: -2261560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 746628693 to the power of 1\/3, to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 28*w**2 + w + 40. Determine y(-28).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -242*f**3\/7 + 31966*f**2\/7 - 275600*f\/7 + 615000\/7 = 0. What is f?\nAnswer: 50\/11, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4088 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 69 - 50 - z)*(-2*z - 3 + 2 + 3).\nAnswer: 2*z**2 + 50*z - 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -892284696 divided by 111535587.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 601538939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 5*a - 6, -a - 1 - 17 = -5*x. Solve x*h = 5*d - 5, -2*d + 28 = 4*h - 0*d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -265, -259, -241, -205, -145, -55, 71, 239?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-18)\/(d*d\/d**(-15)) assuming d is positive.\nAnswer: d**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r - 619 + 616 - 2*r in the form w + y*r and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -263, -390, -515, -638, -759, -878?\nAnswer: -995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 + 5*j**2 + 5*j + 5. Let m(t) = 5*t**3 + 1 + 6*t + 5 + 6*t**2 - 2*t**3. Give -6*b(w) + 5*m(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -843117, -843103, -843081, -843051, -843013, -842967, -842913?\n\"Answer: 4*n**2 + 2*n - 843123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40868 - 1634599\/40. What is the common denominator of 7\/4 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -73, 4, 1, -22 in increasing order.\nAnswer: -73, -22, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 56*f**2 - 4469*f - 59550. Let j(g) = -9*g**2 + 744*g + 9925. Let p(o) = 13*j(o) + 2*x(o). Differentiate p(d) wrt d.\nAnswer: -10*d + 734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gigcgig. What is prob of picking 1 c, 1 i, and 2 g?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34 - (-4 + (1 - -3))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 1, -4, 3.\nAnswer: -4, 1, 3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 0\/3 + -1. Let a be 0*3\/(-9) - j. Solve 0 = a*p - 4*u + 5 + 7, -4*p + u = 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 31 + 0 - (-1693 + 1696).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 839 is divided by 84.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 - 2.05. Let z = -9.4 - -9. What is the biggest value in z, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/4 - (-3)\/(-2). Let y = n + 11. Suppose -105 = -y*d + 5. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 6*w = 4. Suppose w = s - 0, 22 = -4*h + s. Let v = 154 + -1384\/9. Which is the third smallest value? (a) -4 (b) v (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + m - 24. Let g(z) = 193*z - 193. Let h be g(1). Is h less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 5*r**2 - 2*r - 7. Suppose -m + 3 = -3. What is the units digit of k(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -8 - (3 - -2)) + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 2*d - 31. Let w be o(-5). Suppose -2*r = 4*g - 8 - w, 5*g - 13 = -3*r. Which is greater: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12255 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -213 divided by 1157013\nAnswer: -71\/385671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 59523, 59678, 60027, 60666, 61691, 63198?\n\"Answer: 16*b**3 + b**2 + 40*b + 59466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5339265?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.080551 or 2.7?\nAnswer: 0.080551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 7. Let i be (-4)\/6*p - -4. Is (0 - i)\/((-3)\/471) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 10, h: 2}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 14*l**2 - 2*l + 94. Calculate the smallest common multiple of 16 and d(0).\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 996 and 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 1083*t**5\/2 + 2128*t**4 - 130414*t**3\/3 + 321032*t**2\/3 - 22048*t\/3 + 128 = 0?\nAnswer: -12, 2\/57, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74461 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 316 minutes before 1:26 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**2 + 634050*d + 33501616875 = 0.\nAnswer: -105675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-7 - (7 - -29 - 90))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.71 - -0.04. Let n = 11.0959 + -0.0459. Let i = l + n. Round i to zero decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 2. Let b = -63481\/3 - -21160. What is the nearest to 2 in -11, j, b, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*p - p**3 + p**2 + 45*p + (6 + 2 + 5)*(2*p**3 + 3*p - 3*p) to the form b*p**3 + y + a*p + j*p**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 - 10203?\nAnswer: -10310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017824794 rounded to four dps?\nAnswer: -0.0178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l\/(l**4\/l))\/l))\/(l*l\/(l*l*l\/(l**(3\/10)*l)*l*l)))\/(l**(-1)\/l)**(-3\/28))**(-25) assuming l is positive.\nAnswer: l**(-960\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01 + 0.1. Let n be (-12)\/(-33)*(1*4 + (-729)\/162). What is the third biggest value in t, 2, 3, n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 2*o - 4*o)*(-34*o - 15 - 94*o + 7*o**3 + 127*o).\nAnswer: -14*o**4 + 2*o**2 + 30*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 235\/2 + -120. Suppose 0 = 4*b + 5*l - 23, 2*b - 5*b + 15 = 3*l. Suppose -13*d + b*d + 11 = 0. Sort u, 0, d, -3.\nAnswer: -3, u, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((-1 - (-3 + 5))*1). Suppose -2*a - 6 = -0. Sort a, q, 3 in descending order.\nAnswer: 3, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2187000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 9*j**2 + 10*j + 4. Let c be y(-8). Let u = c + 16. Suppose 5*d + 2*k - 24 = 0, u*d - 3*k = 6*d - 14. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**23\/((l*l\/l**1*l)\/l*l*l*l**1\/l))**(-4\/13) assuming l is positive.\nAnswer: l**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/29)\/v)\/v)\/v**(9\/2) assuming v is positive.\nAnswer: v**(-373\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26.5 - -26.3. Which is the smallest value? (a) -21 (b) -5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6104 is divided by 1881?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 180 + -52. Suppose 0*s + r = 5*s - 2*l, 100 = 4*s - l. What is the first derivative of 23 - s*n - 57 + 18 wrt n?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/48 and 101\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**5\/2 + 4401*c**4\/2 - 147981*c**3\/2 + 777591*c**2\/2 - 681507*c + 364500 = 0 for c.\nAnswer: -1500, 1, 2, 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(13) + -1 + sqrt(468) - (5*sqrt(91))\/sqrt(7))*-3.\nAnswer: -9*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(1*sqrt(75) + sqrt(75)))**2 - -6*(sqrt(75) + (sqrt(75) + -1 - sqrt(75)) + sqrt(75)))*2*-2.\nAnswer: -1176 - 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 106\/11676973 or 0?\nAnswer: 106\/11676973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 814, 5, 68 in increasing order.\nAnswer: 5, 68, 814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 + 5*j**2 - j**2)*(1 - 4 - 1) + (j + 3*j - 3*j)*(16 - 16 - 9*j).\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 33*y**2 - 10*y + 13. Is w(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 9) in base 5?\nAnswer: -413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000442045158 rounded to 7 dps?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-98)*924\/(-1155).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -340, -670, -998, -1324, -1648?\n\"Answer: d**2 - 333*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*sqrt(216)*5)\/sqrt(8).\nAnswer: 1 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 1\/24*w**4 + 1\/20*w**5 + 6*w**2 + 0 + 0*w - 1\/3*w**3. Solve b(f) = 0 for f.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/3 + 290587\/(-30). Let v = k - -9696. Find the common denominator of v and -59\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 162493460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-22.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9732 - -9732.4227. What is d rounded to two dps?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1396 + 2372. Calculate the greatest common divisor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3) - (-2)\/(-6). Suppose j + 35 = 2*a, a - 90 = -3*a - 2*j. Suppose -5*f = -a*f + 60. Solve z = -0*g - g - f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14000*i**2 - 218*i**3 - 14000*i**2 + (0*i + 0*i + i)*(2 - 2 + 2*i**2) to z*i**3 + r*i + u + n*i**2 and give z.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15613 = 366*l + 479*l + 356*l for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/4 of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 21. Let p = 0.4 + -0.6. Do p and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 4*y - 1172 = -1174, 5*m + y - 28 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -3. Let g be 2*b\/(-4) + -4. Let s(n) = n**3 + 6*n**2 + 6*n + 7. Determine s(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11 + -245)\/(436\/448 - 1). Suppose 3*z - j = -18*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -325 (b) 4\/7 (c) 99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 22. Let t = -14 - v. What are the prime factors of t\/5 - (-792)\/30?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 7364.\nAnswer: 3682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 580569 and 88756685?\nAnswer: 17593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t. Let q(d) = -14*d - 67. Let s be q(-5). Suppose -4*y + s*y = 4*g + 18, 5*g = -2*y - 21. What is b(g)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108981411 to the power of 1\/3, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5895*a + 2226*a + 1487*a - 2*a + 5*a - a + 0*a - 4*a + 2*a + (-1 - 2 + 1)*(a + 3 - 3) to the form v*a + f and give v.\nAnswer: -2184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/34 in 4, -4, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 38. Suppose 0 = -0*m + m - 4*g - r, -g - 42 = -3*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/5 and 173\/2244?\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 8*m = -1305. Let l = m + -258. Factor 6\/5 + 3\/5*t - 6\/5*t**2 - 3\/5*t**l.\nAnswer: -3*(t - 1)*(t + 1)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18589613, 37179230, 55768847, 74358464?\nAnswer: 92948081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f - 13. Let t(q) be the third derivative of q**4\/24 - 2*q**3\/3 - 41*q**2. Determine -8*t(n) + 3*y(n).\nAnswer: n - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/23)\/(f*(f\/f**29)\/f) assuming f is positive.\nAnswer: f**(641\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-9 - -8) + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**7\/5040 + v**6\/72 - v**5\/15 - v**2. Let m(s) be the third derivative of c(s). Let a be m(0). Solve 2*t - a = -3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -38 + i + 59*i**2 - i - 125*i**2 + 68*i**2. Calculate s(0).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 2 + 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -81948, -18, 3?\nAnswer: -81948","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 z when two letters picked without replacement from {k: 4, z: 2, h: 3, d: 2, o: 8}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 15 + 132. Let f(s) = 146*s**3 - 4*s**2 - 18*s + 36. Let y be f(u). Round y to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -85123122629703.\nAnswer: -85123122629708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k - 10. Let z = 12 + -20. Let g be l(z). Let q = g - 9. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -52*s + 2084. Let y be r(40). Solve 202*o - 204*o = y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 5*t + 2. Let q be l(4). Suppose -q*h + h = 0. Solve 0 = -a - 0*a - 4*b + 16, h = 4*b - 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 438488890 divided by 6264127\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(684) + -2 + sqrt(684) + 4)**2 - ((sqrt(684) - ((sqrt(684) - (-2*sqrt(684) + sqrt(684))) + 2 + sqrt(684))) + sqrt(684))**2).\nAnswer: -6156 - 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0578? (a) 1608 (b) -1\/3 (c) 0.1 (d) 2 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -3*h - 1. Let y = -28 - -147. Let c = y + -79. What is the remainder when c is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from aaxadajddaaaadaaxw.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**2 + 33*x**2 + 38*x**2 + (2*x - 2*x + 3*x)*(x - 3*x + 4*x).\nAnswer: 80*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2)*(0*u - u + 2*u)*(-16 - 41 + 8) + 2*u + 3*u - 4*u in the form h + y*u and give y.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -44*m**2 + 7926. Let l(t) = 10*t**2 - 1981. Determine 9*l(h) + 2*z(h).\nAnswer: 2*h**2 - 1977","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -18*s - 3. Solve s*i + 32 = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -391242 divided by -662.\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7\/3 - -2)\/(5\/(-15)). Is d at least -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -98400 to the nearest one thousand.\nAnswer: -98000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*m + 7. Let u(q) = 11*q**2 - 2*q. Let w be u(m). Let p = 133 - 81. What is the highest common divisor of w and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -22*z - 2. Is f(-5) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**2 - 12*g**2 + 5*g**3 - 2*g**3 + 0*g**3.\nAnswer: 3*g**3 - 18*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 12*k - 15.\nAnswer: 3*(k - 1)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22627 - 22632. Let d = -1.57 + 0.07. Which is the biggest value? (a) d (b) -0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16482 and 521806385?\nAnswer: 3130838310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 2. Let k = -3 + i. Which is the second smallest value? (a) k (b) -9 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.194 - -0.177. Let r = 42.217 + -41.5. Let j = p + r. Is j bigger than 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121690 is divided by 1603.\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -19*v**3 - 4*v - 13. Let m(q) = -9*q**3 - 2*q - 6. What is -6*k(n) + 13*m(n)?\nAnswer: -3*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -4754?\nAnswer: -4754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-746)\/(-4849) - (-60)\/(-1066). Let w be 3\/5 + (-4)\/15. Put 5, w, n in descending order.\nAnswer: 5, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 8. Let n be j(10). Suppose n*p = 5*l + 71, -p = -l + 4*l - 8. Calculate the greatest common divisor of 207 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98375.86 litres in millilitres?\nAnswer: 98375860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1290 - 9b8?\nAnswer: 8d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13691 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5158 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.62 + 16.18. Let v = x - 15.8. Sort v, -0.3, -0.4, -2.\nAnswer: -2, -0.4, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a9667a (base 12) in base 6?\nAnswer: 321324234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*u + 60*u - 92*u to the form r + x*u and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 15*r + 16. Determine l(12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*k**4 + 404*k**3 - 14916*k**2.\nAnswer: -336*k + 2424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 2*c - 16. Suppose -64 = -3*u - 5*q, -u + 23 = c*q - 10. What is the remainder when 24 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2858550\/2907*6\/20*2\/10?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*j**2 - 21 - 19528*j**2 + 14 + 7 as w*j**2 + g*j + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -113c + -8d9e?\nAnswer: -9eda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*r = -7, 4*v - 2*r + 0 = -2. Let l be v*8*7549*-2. Let g = l - 78784. What is g rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -6728*n**4 + 11368*n**3 - 2714*n**2 - 1764*n - 162 = 0.\nAnswer: -9\/58, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 8. Let t(v) = 8. Let q(s) = -4*p(s) - 5*t(s). Suppose 17 + 2 = -3*c - 5*j, 29 = 2*c - 5*j. Let i(f) = -f - 2. Determine c*q(z) - 9*i(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-640)\/(-96)*12\/16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41464 + -3814769\/92. Calculate the common denominator of 101\/6 and a.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 7 = -10. Let s be v\/((-10)\/(-310)*2\/2). Suppose -s*q + 28*q = -447. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 69, 277, 621, 1101?\n\"Answer: 68*c**2 + 4*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 2*w + 4. Let z be y(7). Suppose 5*m - 2*m - z = 0. Let n = m - 8. Solve -2*h - c = -n, c = 2*h + 3*c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 + 373372554683*l**2 - 373372554683*l**2.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37780207 to the nearest integer?\nAnswer: 6147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + s + 9. Let b be y(0). Suppose 0*t = -4*t - g - b, 6 = t + 3*g. Let z be (-1)\/12 + (-3)\/12. What is the closest to 0 in t, 7\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**(-8\/5)\/(h**(2\/3))**(-29)*(h*h**(-2\/9)*h*h**8*h*h)\/(h**(-2\/9))**(19\/3) assuming h is positive.\nAnswer: h**(4606\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66026 - 20166. What are the prime factors of j?\nAnswer: 2, 5, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -20 in increasing order.\nAnswer: -20, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5185*z + 212042 + 432904 - 33973 - 9513 for z.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -0.2. Let z = -3 - -3.4. What is the nearest to c in -5, z, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -7*i + 15. Let t be (4 - i)\/(2\/(-6)). Let m be 54*(3 - t\/(-2)). Calculate the greatest common divisor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -4, 2856, -3, 3, 4 in descending order.\nAnswer: 2856, 4, 3, -3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 1)*(-3*b - 3*b + 2*b) - 1769*b - 2 - 1574*b + 4679*b + 2 in the form r*b + s and give r.\nAnswer: 1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-4\/3)\/o*o*o\/(o\/o**(-7\/2)))**12 assuming o is positive.\nAnswer: o**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5192034?\nAnswer: 2, 3, 865339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 289*a*s**3 + 355*s**3 with respect to a.\nAnswer: 289*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 4.5\nAnswer: -13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1*24\/(-9)*-3 and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316313?\nAnswer: 37, 83, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 44*v**2 + 253*v - 48. What is u(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 < 337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -764 - 172 - 775 = -55*c + 489 for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1419 = -9*o + 201. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98570, -98569, -98588, -98627, -98686, -98765?\nAnswer: -98864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1195119, -1195232, -1195345?\n\"Answer: -113*z - 1195006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 428 + 408e?\nAnswer: 44b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -20. Let f(b) = b + 265. Is f(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*w = 5*i - 2347, -5*i + 2339 = -3*w. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**6\/120 - t**5\/60 + t**4\/12 + 5*t**2. Factor g(b).\nAnswer: -b*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -200032, -400143, -600254, -800365, -1000476, -1200587?\n\"Answer: -200111*d + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29650, 29657, 29668, 29683, 29702?\nAnswer: 29725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 y when four letters picked without replacement from ceyeyycyze?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -140 or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -6?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5)*(168*b - 32 - 301*b + 211*b).\nAnswer: 78*b - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 w when two letters picked without replacement from {w: 2, e: 1, j: 1, c: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2.1847 times -0.05015\nAnswer: -0.109562705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/50*(-2100)\/252*(-546)\/(-45)*3\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31100782 - -612.\nAnswer: -31100170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -25*s**2 - 32*s + 8. Let v(u) = -47*u**2 - 60*u + 15. Let x(r) = -15*h(r) + 8*v(r). Let m(d) = -7*d - 69. Give m(x(i)).\nAnswer: 7*i**2 - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 346203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/4? (a) 8 (b) 82 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**2 - 9*x + 4. Is g(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1156 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93 + 87. Let s = w + 418. What are the prime factors of s?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4139*t - 1075*t - 4637*t + 2591*t - 421*t**4 wrt t.\nAnswer: -5052*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*(b*b**(1\/6)\/b)\/b)*b*b\/b**(4\/21))\/(b**(-24)\/(b**(2\/33)\/b)) assuming b is positive.\nAnswer: b**(12337\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 2*w + 1. Suppose 3*c - 22 = -2*u, -2*u + 3 = u - 3*c. Let j(s) = u + 1570*s**3 + 2 + 17*s - 1579*s**3 + 2. Calculate 6*j(i) - 51*k(i).\nAnswer: -3*i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102201 (base 3) in base 7?\nAnswer: 3022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 213600 and 1424.\nAnswer: 213600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 105.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 77, -3, -5, 4 in decreasing order.\nAnswer: 77, 4, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of f**6\/3 + 88*f**5\/35 + 48*f**4\/7 + 188*f**3\/21 + 41*f**2\/7 + 12*f\/7 - 8. What is j in g(j) = 0?\nAnswer: -3, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3516*v + 1750*v = 258034 for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 11*g**2 + 6. Let f be z(-11). Let p = f + -3. Suppose p*w = -w. Is 2 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406501?\nAnswer: 406501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*((sqrt(475) - (sqrt(475) - 2*sqrt(475)))**2 + -2 - (sqrt(475) + 0)*1).\nAnswer: -9493 + 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2 - 43*y - 26. Let t be (100 - 99) + (-28)\/(-2). Let q be f(t). Solve 0*z - 2*z + 9 = 3*i, -13 = -q*z - 5*i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826876581?\nAnswer: 3, 3361, 82007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*i - 115 = -5*d, i = -4*d + 92. Calculate the remainder when d is divided by (9 - 16 - -5)*(-1 + -3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -72 + 168?\nAnswer: b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1 - -2) + 14 + -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-35)\/15*(-21)\/98. Which is the nearest to w? (a) 5 (b) -7 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32096 by 7.\nAnswer: 32096\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 67, 122, 189, 262, 335, 402?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 108 in -1, 1, -19.78?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41386 - 15351. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 711*y**2 + 2390*y + 177070. Determine q(-714).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -110*u**5\/7 - 536694*u**4\/7 - 554336*u**3\/7 + 1223376*u**2 - 10419488*u\/7 - 390240\/7 = 0. What is u?\nAnswer: -4878, -5, -2\/55, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 92, 335, 730, 1277, 1976, 2827?\n\"Answer: 76*f**2 + 15*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -122, -78, 36, 220, 474, 798?\nAnswer: 1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m + 196*m**3 - 197*m**3 + 6*m - 2*m**2 as i*m**3 + d + j*m + k*m**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 10*c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4543953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 288.5 - 288. Let y = 102 - 93. Let x = -0.4 + -0.6. Which is the nearest to -2? (a) x (b) y (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -587.\nAnswer: 4\/587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n - 1. Let u be o(1). Let d be (10\/(-15))\/(6\/9). Sort d, u, -3 in descending order.\nAnswer: u, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 868704 and 99539?\nAnswer: 9555744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000001100010111101 (base 2) in base 13?\nAnswer: 95281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**4\/4 - d**2\/2 + 2*d + 5. Give a(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2240 and 54432?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 468415*i - 6. Determine k(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 0*a**2 + 0*a**2)*(-4*a**2 + 3*a**2 + 0*a**2 + (-a + 5*a - 2*a)*(2*a - a + 0*a) + (0*a + 0*a - 2*a)*(-a + a + a) - 717*a**2 + 511 - 511).\nAnswer: -718*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 3:51 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8a + 6793?\nAnswer: 6705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3684 - 1204 + 39*s - 1213 - 1265 - 27*s + 173*s.\nAnswer: 185*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 2*p + 0*p)*(3 - 2 - 3*p + 2*p).\nAnswer: -p**2 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 6:13 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-314)\/(-7) - ((-128)\/784)\/((-10)\/(-70)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*w - 61*w - 2052 = 18*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a factor of 1187076749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2087.4 times 5\nAnswer: 10437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1117 + -1122. Suppose 129 = 2*c + 145. Let i(j) = 3*j + 1. Let m(a) = -4*a - 2. What is c*i(k) + z*m(k)?\nAnswer: -4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 250235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 5*v**2 - 5*v - 7. Let y be k(-5). Suppose 9*d - 141 - 30 = 0. Let b = d - y. Solve -b = h + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -884 + 884.3. What is the closest to -2\/3 in 2, -1\/7, q, 0.4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -623 + 4371\/7. Calculate the common denominator of s and -23\/165.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, -4, 2\/33, -14, 2\/9, -9\/4?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 2*i = -10. Let h be i - (0 - 5) - 0. Let y(v) = h + 1 - 5 - 3*v. Calculate y(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/8)\/((-2691)\/552)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4635970 - -11625970. What is c rounded to the nearest 100000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12824 + -12820. Solve -2*p + 12 = -5*z, 9*z - 7*z = -l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1212 and 12777.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 1)\/(3 - 4). Suppose -4*i - 12 = -n*i + 4*q, -5*i + 3*q = -25. Sort i, -3, -4.\nAnswer: -4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*c + 21*c - 28*c - 24*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -3*z + 8, b + 2*b - 24 = -5*z. Let h = 101727\/10 + -10163. Calculate the common denominator of h and 26\/(-50)*105\/z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 1\/5, 22\/5, -0.1, 2\/9, 2\/77?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/543 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 104 = 3*c, -5 = -u + 2*c + 21. Let r = u + -5. Solve -2*d + 4*d = -3*z - r, d + z + 7 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-132)\/(-36)*(0 - (0 - 6)). Let f = m + -4. Let o(v) = 21*v**2 + 2*v - 1. What is the remainder when o(2) is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgc when three letters picked without replacement from {c: 1, g: 1, q: 2, e: 1, h: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -174*f**3 - 6*f**2 + 11. List the prime factors of n(-2).\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**17)**(-21)*(i**(-1\/3))**(-2\/29) assuming i is positive.\nAnswer: i**(-31057\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 2:23 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 24*v - 235. Calculate the remainder when 130 is divided by a(12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.29 and -26768098.5.\nAnswer: -26768098.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1489*t**2 + 59 + 138 - 2989*t**2 + 1496*t**2 to the form a*t + g + r*t**2 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9946 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: List the prime factors of 4944814326.\nAnswer: 2, 3, 43, 107, 59707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**(-7\/3)*l\/l**11*l**(-5\/3)\/l assuming l is positive.\nAnswer: l**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c. Let s(d) = 52*d + 5. Calculate u(s(v)).\nAnswer: -104*v - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6)**0\/(o**(-3))**(2\/77) assuming o is positive.\nAnswer: o**(6\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + 34422?\nAnswer: 40003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/1053 + 4\/18.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1275907\/135492 - 2\/11291. Find the common denominator of 10\/(-45) + 286\/(-36) and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/16*(-7 - -5)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-2\/9)*n)\/(n\/(n**(-1)*n)))\/(n**(-7)*n*n**3))\/(n**(-4)\/(n**7*n)*(n*(n**(-1)*n)\/n*n)**(1\/48)) assuming n is positive.\nAnswer: n**(2269\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/818 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/68?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*w - 3*l, -3*l + 6*l = -w - 5. Is w greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 77?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1434 = 164211. Let h = -122259 - f. What is h rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 14*h**2 + 10*h - 59. Let o be p(-15). Suppose o*g - 2698 = -826. Calculate the greatest common divisor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 12:41 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.24, -5, -121 in descending order.\nAnswer: -0.24, -5, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106.854 + -209.35. Let q = -4.064 + n. Let j = q - -105. Round j to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -437464*s**3*v**2 - 171*s**2 - 48*s*v**2 + 11*s*v wrt s?\nAnswer: -2624784*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -896 = -4*o + 12*o. Let s = 116 + o. Let m(i) = 17*i**2 - 9*i + 11. Let q(d) = 6*d**2 - 3*d + 4. What is s*m(t) - 11*q(t)?\nAnswer: 2*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*n**2 + 41*n**2 + 45*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -164 + 166. Suppose 0 = -4*f - z - 2, 5*f + 5 = 4*l. Solve -3*g - 21 = 4*x, 4*g = -x - l*x - 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*g**3*p**2 - g**3*p*x**2 - 25284578*g**2*p**2*x**2 + g**2*p*x**2 - 7*g*p*x**2 + 6*g*p - 3*p*x**2 + 5*p - 148*x**2 wrt p?\nAnswer: -16*g**3 - 50569156*g**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 12:58 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-2) + 84607\/2. Suppose s = -4*w + 14110, -2*s + 5*s = w + z. Suppose -5*l + s - 3102 = 0. What is l rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1491564, -2983120, -4474676, -5966232, -7457788, -8949344?\nAnswer: -10440900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)\/sqrt(2) + sqrt(52))*1)\/(sqrt(144)*1) - ((sqrt(1053) - -5*-2*sqrt(1053))*4)**2.\nAnswer: -1364688 + sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)*w*w**(-9)*w)**(-50)\/((w**(-2\/3))**(5\/2)*((w\/w**(-2\/7))\/w)\/(((((w\/w**(1\/5))\/w*w)\/w)\/w)\/w)) assuming w is positive.\nAnswer: w**(73414\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 4*n**5\/35 - 39*n**4\/7 + 76*n**3 - 722*n**2\/7 - 362. What is w in i(w) = 0?\nAnswer: 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.5 - 3. Let b = -6 + 4. Sort 5, p, b.\nAnswer: b, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + g + 9 = 0, 4*w - 3*w + 2*g = -8. Let k = -8 - w. Solve -5*j = -k*j - 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**4\/12 + m**3\/3 - m**2 - 3*m. Let h be j(-4). What is the greatest common divisor of 30 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/3 - 2552*i**2\/3 - 2*i\/3 + 2552\/3.\nAnswer: 2*(i - 1276)*(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 303, 49, -375, -969?\nAnswer: -1733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d. Let s(g) = 12*g**2 + 4. Let z(h) = -3 - 3 - 5 + 12. Let t(n) = -s(n) + 4*z(n). Calculate v(t(o)).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/12*(-15 - -3). What are the prime factors of -3 - 20\/t - -30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c - 2. Let w be 2\/8 + (-27)\/12. Let h(i) = 8*i + 3. Determine w*h(n) - 3*f(n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n**3 + 9*n**2 - 9*n + 13. Let a(f) be the third derivative of f**6\/40 - f**5\/15 + f**4\/6 - f**3 - 2*f**2 + 42*f. Calculate 9*a(j) + 4*q(j).\nAnswer: -j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 761.2 and -0.61.\nAnswer: 760.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54648 and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1161922?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 150 - 193 = h, -4*h - 147 = -o. What is the remainder when 484 is divided by o?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/28 - 3\/14. Sort v, -3\/2, 0.\nAnswer: -3\/2, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -186*s**5 + 2*s**4 + 15*s**3 - 2648*s**2?\nAnswer: -11160*s**2 + 48*s + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 0*u**3 - 12*u**2 + 2*u - 18*u + 2*u**3 - 3*u - 27. Is l(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 1. Let t(v) = v - 9. Let w be t(5). Let g be j(w). Solve 3 + 12 = -g*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2274446403 or 0?\nAnswer: 0.2274446403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3192 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/18 and -91\/82.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -94*b**2 + 5*b - 5. Let s be p(5). Let v be -4 + s\/(-548) - 2\/8. Let g = -961\/1096 + v. Is 0 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10684759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 3, -29958, 0 in ascending order.\nAnswer: -29958, -3, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65 and 59732090?\nAnswer: 776517170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14\/5, 4\/3, 0.6, 0, -5\/4, -3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 9*z**2 + 115*z + 230. Let g be x(-2). Calculate the greatest common factor of g and 2124.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 1:22 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/5*k**3 - 12\/5*k - 2\/5*k**4 - 2\/5*k**2 + 0.\nAnswer: -2*k*(k - 3)*(k - 2)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2 + 2*a - 1. Let b be d(1). Let z(r) = r**3 - 7*r**2 + 6*r + 2. Let j be z(6). Let g be 34\/8 + (10\/j)\/(-20). Sort b, g, -4\/7.\nAnswer: b, -4\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/64 and 17\/12.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**16*l\/((((l\/((l*l**(-1\/3))\/l*l))\/l)\/l)\/l*l*l))\/(l**(2\/17))**(-21) assuming l is positive.\nAnswer: l**(1027\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41)\/((-2993)\/876) + (-834)\/69 - 204\/(-2875).\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-8)\/90*9\/(-12)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377934.\nAnswer: 2, 3, 62989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/28)\/(1234\/4319).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1210))\/((sqrt(42)\/sqrt(7))\/sqrt(3)) + 3.\nAnswer: 3 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 375 - 46?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5547 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**2. Let s(q) = -64729*q - 3. Give s(v(d)).\nAnswer: 194187*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2 - 2594*p - 2595 = 0.\nAnswer: -1, 2595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1267, -10182, -34383, -81514, -159219?\n\"Answer: -1274*d**3 + d**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2025*q - 283. Is l(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4425 = -3968*j + 4043*j for j.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5\/7 + 36*g**4\/7 + 202*g**3\/7 + 264*g**2\/7 - 792*g\/7 - 1728\/7 = 0. What is g?\nAnswer: -8, -6, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22831329589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 90 = -n. Let l be 21\/n*12\/63. Determine s so that -2\/9*s + 0 - 2\/9*s**2 + l*s**3 + 2\/9*s**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -11*n**2 + n + 9. Let f(u) be the third derivative of -7*u**5\/60 + u**4\/24 + u**3 - 54*u**2. Calculate 8*f(k) - 5*s(k).\nAnswer: -k**2 + 3*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3592*d**2*m*v + 5*d**2*v - m*u - 83*u*v with respect to m.\nAnswer: 3592*d**2*v - u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -25 in increasing order.\nAnswer: -25, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 25*u - 101. Let m be k(5). Solve 0 = 12*b - 20*b + m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*u + 18. Let n(k) be the first derivative of -2\/3*k**3 - 3\/2*k**2 + 0*k + 5. Give n(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -125 - -65. Let s = k + 69. Solve d + 2*d = -s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 373701602?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 13498710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 6, -2\/3, 4.8, -5, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 + 5*r - 11*r + 72 - 52 + 15*r.\nAnswer: 9*r + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 0, -20, 707 in descending order.\nAnswer: 707, 0, -20, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4530 is divided by 751.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -38937, -0.1, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 2 - b - 5*b + 0. Suppose 5*h - 7*x - 14 = -3*x, -4*h + 3*x = -11. Calculate the remainder when h is divided by j(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -79, -5 in decreasing order.\nAnswer: -5, -7, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025993 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 + a**2 - a**2 + (1 + 2*a - 1)*(-2 - 4*a**2 + 2) + (4 - 4 - 1)*(-3*a**2 + 3*a**2 + a**3) in the form g*a**3 + r + o*a**2 + x*a and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - p + 9 = -3*p, -4 = 4*p. Suppose 272 = -f*t + 1021. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 275*m**2*p**2*u**2 + 146*m**2*p**2*u + 2*m**2*u + 6*m**2 + 3*m*p**2*u + 2*m*p*u + 97831*m*u**2 - 25*p**2 - 3 wrt u.\nAnswer: 550*m**2*p**2 + 195662*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -31493941.\nAnswer: -3\/31493941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*c**5 - c**3 - 7*c**2 + 15 wrt c.\nAnswer: 2040*c**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*t**3 - 181*t**3 + 360*t**3.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 1710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 2:45 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**3 + i**3 + 2*i**3 - 2*i**3 - i**3 + 2*i**3 + (-i - 1 + 1)*(-2 - i**2 + 2) + i**2 - i**2 + 2*i**3 in the form x + u*i**2 + g*i**3 + z*i and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-12)*6\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 8*y + 20. Let s be v(-10). Solve s = -c - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t + 18*t + 28*t)*(8*t**2 + 73*t - 6*t**2 - 26*t).\nAnswer: 102*t**3 + 2397*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 1\/11 (c) -73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -63*f + 1306. List the prime factors of m(0).\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52281 is divided by 211?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*(-3*(4 + sqrt(68) + sqrt(68) + -2*sqrt(68) + -2))**2*4.\nAnswer: -863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 145292 and -9.\nAnswer: -1307628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 - 4 - (-23 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 - (32 + (77 - 18))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) 0.2 (c) 0 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15199984 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j - 6298. Let h(u) = 3*u. Give q(h(s)).\nAnswer: -6*s - 6298","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 less than -12\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40 in 8740, -0.4, -0.03, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -541, -2253, -5137, -9193, -14421, -20821, -28393?\nAnswer: -37137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 311*t**2 - 45*t + 918. Let n(z) = 156*z**2 - 18*z + 459. Let j(v) = 5*n(v) - 2*s(v). What is the derivative of j(p) wrt p?\nAnswer: 316*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1463 (base 8) in base 7?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 812 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b + 30. Let p be d(-9). Solve -p = k - 0*k, -4*x = -4*k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -928, -2112, -3292, -4468, -5640, -6808, -7972?\n\"Answer: 2*z**2 - 1190*z + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - k = 31, -3*m - 5*k - 7 = -60. What is the least common multiple of 2 + 1*20 + -2 and m?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 253\/79, -2 in decreasing order.\nAnswer: 253\/79, 2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 13 = 1, 26 = 4*u + 2*i. Let m(x) be the third derivative of 1\/24*x**4 + 0 - u*x**2 + 2\/3*x**3 + 0*x. Calculate m(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v. Let p(h) = -3*h + 43. Let g(u) = 2*k(u) + p(u). Let m be g(17). Suppose -20 = -m*f + 24*f. Solve -4*i - i = f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ojmm when four letters picked without replacement from {j: 1, b: 6, m: 3, t: 2, o: 1}.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 13, c: 6}. Give prob of picking 2 c and 1 i.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 7338717.\nAnswer: 7338712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9491 = 230*n + 765*n + 7424 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4301227 milligrams in tonnes?\nAnswer: 0.0000000004301227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-45))\/((-10026)\/(-225585))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5760 and 23580?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -d5298 (base 14) in base 3?\nAnswer: -222002121020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -193*w**2 - 20*w + 21. Let r(x) = -290*x**2 - 30*x + 33. Let k(l) = -8*o(l) + 5*r(l). Find the second derivative of k(q) wrt q.\nAnswer: 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-7))\/(1323\/(-12348))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*i*k**3*m - 2*i*k**3*y + 26*k**3*m*y - 76*k**3 + k**2*m*y - 4*k**2*y wrt m?\nAnswer: 4*i*k**3 + 26*k**3*y + k**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - a - 12 = 0. Suppose 2*p = j + 3 + 7, 0 = -4*p - 4*j + 20. Which is greater: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + m**2 - 573*m**3.\nAnswer: -573*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29581\/5 - 5915. Let z = -1.3 - 0.1. Let t = -0.9 - z. What is the second smallest value in 5\/6, t, b?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15320928 - 7260928. What is n rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5522 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: Convert 0.1755326 micrograms to tonnes.\nAnswer: 0.0000000000001755326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406004 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 4. Suppose -3*r = 0, 0*p - 2*p - 4*r = -j. Suppose 3*u - p*s = 39, -5*s = -2*u - 2*u + 57. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376312457 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 7*p**2 - p - 5. Let a be d(-7). Suppose 0 = -3*b - a*b. Suppose -3*m - 5*x - 16 = b, 4*x = -m + 2 - 19. Solve 0*n = m*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10602705*m**6*n - m**3*n**3 + m**2 + 2*m*n - 35*n**3 + 1880*n wrt m?\nAnswer: -1272324600*m**3*n - 6*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13304.1973 rounded to the nearest 10?\nAnswer: -13300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*u - 647 = 0, -5*w - 458 = 2*u - 1308. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/96678852 and -83\/1855964?\nAnswer: 1063467372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 705383180 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-5 - -4)) + 1 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 5*p - 3. Let y be a(3). Let z(v) = v + 1. Let k be z(1). Let g be 1 + 24 + k*1. What is the highest common factor of y and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 1:32 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 282\/(-273) + 2404\/4207.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 4*k - 20, -2*k = -4*z - 3*k + 8. Suppose -4*g - z + 33 = 0. Solve -b = 2*f - 6, 9 = 4*b - 3*f + g*f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 - 25*c. Let x(w) = 13*w**2 + 125*w - 84. Let y(s) = -5*a(s) - x(s). Let v(d) = 15*d**2. Give v(y(b)).\nAnswer: 135*b**4 - 7560*b**2 + 105840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69.72 - 39.736. Let y = 0.684 - p. What is y rounded to zero dps?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4de (base 15) to base 9.\nAnswer: -1462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - -2)*(-2)\/(-3). Suppose w*c - 15 = a, 2*c + 0*c = -4*a - 6. What is the greatest common factor of 9 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 6 = -2*i, 5*i - 2*z + z - 35 = 0. Find the second derivative of 3*f + 2*f**5 + 3 - i + f**5 + 23*f**2 - 4*f wrt f.\nAnswer: 60*f**3 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4\/5 (b) 0.3 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*a - 5*a - 285 = 58*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/2 - 85454279*z**2 + 3651216985159198*z - 7302433628501284.\nAnswer: (z - 85454278)**2*(z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - 42. Suppose a = 5*w - 17, -4*a - y*w = w - 52. Solve a + 4 = 5*p + 4*z, 3*p - 4 = -4*z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 131036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 454616?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 968 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 10:14 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -33, -40, -47, -54?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1704 and 9528?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -582*o + 580*o - 2*f, -5*o - 2*f = -6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 3:00 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 60589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 54, 67, 82, 99, 118, 139?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b**2 + b**2 - 17*b**2 + 7*b + 7. Let p(d) = 9*d**2 - 5*d - 5. Suppose -20*i = -5*i + 105. Calculate i*p(g) - 5*o(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7313 - -36299\/5. Let m = u - -2916\/55. Suppose -3*l - 5*v = 2*l, -4*v = 2*l. Which is the nearest to l? (a) m (b) 3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98321333 and 22990.\nAnswer: 2299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 - 3*l**2 + 3*l - 2. Let x(y) = -4*y**3 + 6*y**2 - 6*y + 4. Calculate 9*s(u) + 4*x(u).\nAnswer: 2*u**3 - 3*u**2 + 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0259 - -1.9841. Let f = 1.01 - w. What is the third smallest value in f, 1\/3, -0.5, -0.6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(1\/13)\/((i*i**(-1\/9))\/(i\/(i*((i\/i**(1\/7))\/i)\/i*i)*i*i)) assuming i is positive.\nAnswer: i**(79\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -134, -161, -204, -251, -290, -309, -296?\n\"Answer: 2*k**3 - 20*k**2 + 19*k - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7 + 8 + 4*s + 4*s**2 + s - 11*s**2. Let g be m(-4). Let c = 23 - g. Does 29 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*u + 2 = 64*u. Let n be 1\/(-40)*(u + 8 - 9). Which is the smallest value? (a) 9 (b) -0.1 (c) n (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 17098.\nAnswer: 9\/17098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -146*u + 807. Determine a(6).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -472.7 != 91\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 23. Let q(i) = 105*i**2 + 13*i - 3. Let x(d) = 70*d**2 + 9*d - 2. Let w(u) = 5*q(u) - 7*x(u). Is 13 a factor of w(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6292038.685 - -4?\nAnswer: 6292042.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 1307*y**2 - 18118*y + 20685. Determine m(1293).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 3:25 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5411.6+339791\nAnswer: 345202.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l + l - 8*l + (17*l - 49*l - 17*l)*(3 - 3 + 1) to z + f*l and give f.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1194 + -1162. Calculate the remainder when 46 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 9:13 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2 - 22*c**3 + 43*c**3 - 2*c - 16*c**3. Let t(i) = -i. Let u(p) = -o(p) - 3*t(p). What is the second derivative of u(a) wrt a?\nAnswer: -30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 4*v. Let o be m(-4). Let n be (-40)\/(-18 - -10) - (0 - o). Solve 0 = p + 3*u - 5 + 3, -16 = n*p + 2*u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-4 - 7) - -13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32173563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2502588?\nAnswer: 2, 3, 11, 18959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 575488235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 917.0366 tonnes to milligrams.\nAnswer: 917036600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48310 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 2*n**2 - 2*n**2)*(103033 - 195*n**2 - 103033 - 249*n**2).\nAnswer: -888*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*w = u - 3, 15 = -3*u - 2*w. Let z be u + (-12)\/(-20)*5. Solve z*a = 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 25.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 303479945*l**3*q + 207*l**3 + 18*l**2 + 6*l + 4 wrt q?\nAnswer: 303479945*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72820 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3846.\nAnswer: 2, 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of -10 - (-2 - (-12 + 770))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4121 + 225?\nAnswer: 4346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 5:21 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 232*h - 2 + h**2 - 231*h + 1. Let x be (8\/10)\/((-4)\/(-10)). Let a(p) = -4*p**2 + 0*p**x - 2*p**2 + 2 - 3*p. Determine a(l) + 4*g(l).\nAnswer: -2*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 170 = -5*x, 2*x + 824 - 904 = -2*s for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 32\/4 - 2. Let b = d + 1. What is the third derivative of -9*z**2 - 2*z**b + z**2 + 0*z**4 - 2*z**4 wrt z?\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2. Let h(t) = 4*t. What is h(o(d))?\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - -5 - 2*13\/(-2). Let t = 24 - h. What is the least common multiple of 7 and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 0 + 1)\/(10\/(-40))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.98 + -20.48. Sort -2\/15, l, -37 in descending order.\nAnswer: l, -2\/15, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569 is divided by 270.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(6) + sqrt(24)))\/(-3*sqrt(175) - sqrt(7)).\nAnswer: -sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 4*v**2 - 7*v + 3. Determine c(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 63 + -4614?\nAnswer: -4531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 696 = l + 7*l. List the prime factors of l.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4\/3 - 274*q**3\/3 + 1180*q**2\/3 + 50632*q\/3 + 31440 = 0. Calculate q.\nAnswer: -10, -2, 18, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4, -5, -4 in increasing order.\nAnswer: -10, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 2. Let i = v + 4. Suppose -f + 5*x - 5 = 0, 3*x - 23 = -i*f - 2. Solve 1 = g + f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/28*(-16)\/2. Suppose -l*i + 5 = -c + 1, 2 = 2*i. Suppose c = -5*q + 209 + 341. What are the prime factors of q?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**2 + 371*d - 32325. Give z(59).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 0.5 (b) -545 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiet. Give prob of sequence ieti.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -3, 5, -54, -2 in descending order.\nAnswer: 5, 3, 0, -2, -3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*f**2*u**3 + f**2*u + 1158219*f**2 - 3*f*u**3 - 960*f*u + 645*u**3 wrt f.\nAnswer: 12*u**3 + 2*u + 2316438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25141 + 3?\nAnswer: 25144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 55.67737 grams?\nAnswer: 55677370000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*f - 4 = 0, m - 5*f + 16 = -3. Suppose -t + 10 = 13. Let i be ((-1)\/(-2))\/(14\/4). What is the second smallest value in i, m, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(j\/(j\/j**(4\/21)))*j*j**(-5)\/j*j assuming j is positive.\nAnswer: j**(-46\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*c + 354 + 49 + 113 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 2. Let v(o) = 2*o + 2. Determine 5*k(h) - 4*v(h).\nAnswer: -3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6674*s - 3337*s - 4 - 3339*s + 4.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*-2)\/sqrt(12)*4 + sqrt(468) + (sqrt(468) - -1*sqrt(468)*-2))**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45809633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2686, 3581, 5116, 7297, 10130, 13621, 17776, 22601?\n\"Answer: k**3 + 314*k**2 - 54*k + 2425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 12*g. Let r be ((-2)\/3)\/(2\/(-6)). Let i(c) = -10*c - r + 12*c + 2. Determine b(i(x)).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1458598 to the nearest integer?\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, a: 1, s: 1, g: 1, q: 1}. Give prob of sequence qea.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 - 86. Let z = -47 - j. What is the nearest to z in -3, 0.3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 11) to base 6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 3)*615525\/(-50). Calculate the greatest common divisor of 87 and t.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004895 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -250363567 and 23.579.\nAnswer: -250363543.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adadcaakkccz. Give prob of sequence aaz.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -7*g - 4. Suppose 3*l = -5*k + 3 + 2, -2*l + 2 = 4*k. Determine a(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*q + 91 = 61*q. What is the highest common factor of 112 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-43)\/133 + 27\/63. Which is the nearest to 0? (a) x (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2980 - 2944. Suppose 4*x - 201 = x. What is the remainder when x is divided by n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15422320 - 4?\nAnswer: 15422313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -53*k - 1512. Let p be h(-29). Let m(u) = u - 33. What is m(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -3*f + 7*f. Let w(n) = 14 - 22*n + 6*n + 10*n. Let r be w(-9). Calculate the highest common factor of f and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 313\/9 - 18\/(-81). Let q = f + 5. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 r when two letters picked without replacement from hviiiiiriiiviivr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-167*w + 469*w + 215*w)*(-77*w + 77*w + 54*w**2) to x*w**2 + j*w + u*w**3 + r and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/5 - 788\/180 and -143\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 756 and 10836?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 23*r**2 - 26*r + 45. Calculate x(24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/24069054 and -35\/24?\nAnswer: 96276216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -920 - -923. Let b(x) be the third derivative of 1\/24*x**6 + 0*x**5 + 0*x**w + 0*x + 8*x**2 + 0 - 1\/4*x**4. Find the second derivative of b(v) wrt v.\nAnswer: 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 - 1)*(-2*j + 4*j + 0*j) + 5*j - j - 6*j + (-5 - 2 + 5)*(1 - 1 + j))*(2*j - 6*j + 3*j)*(1 + 5 - 5).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273806 is divided by 468?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-w + w + 2*w)*(7 - 2 - 4) - 2*w - w + 4*w + 3*w - 3*w - w)*(66 - 4 - 122 - 2*w**3).\nAnswer: -4*w**4 - 120*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o - 115 = -5*z - 27*o, -2*z + 52 = -2*o. Solve -15*a + z = 51 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 12, -159.\nAnswer: -159, 1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svuussu. Give prob of picking 2 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41992252*h**3 + 325739*h**2 - 12*h + 1 wrt h?\nAnswer: 251953512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4945 is divided by 496.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4 = -2*a + 7, 2 = -2*b + 2*a. Let p(r) = 7 - 9 - b - 2*r + 6. Determine p(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1312, 313, -676, -1649, -2600, -3523, -4412?\nAnswer: -5261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 723598661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 0, 0.67, 17\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h**2 + h**2 + 3*h**2 + (417*h + 104*h + 231*h)*(2*h - 2*h - 2*h).\nAnswer: -1505*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(1*(sqrt(35)\/sqrt(5) + sqrt(7))).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from xxxxxxxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*y + 4 = 0, -5 = -3*a + y - 6*y. Factor 1\/2*k + a + 1\/2*k**3 + k**2.\nAnswer: k*(k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5368.3 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27 - -11edd?\nAnswer: 11eb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-5))\/(336\/560)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 24 = -8*k. Let n be (4\/10)\/((-24)\/(-15)). Let l = -26\/231 - 1\/33. What is the closest to n in l, 1\/6, k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 118 - 77?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of n**3 - 12*n**2 + 17*n - 37431?\nAnswer: 3*n**2 - 24*n + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.0364 and 0.00755?\nAnswer: 0.00782482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -3 - (-8 - 1) - 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134877?\nAnswer: 3, 44959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tl when two letters picked without replacement from aatlattttaatatllaa?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5328, 10599, 15870, 21141, 26412?\nAnswer: 31683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, f: 4, v: 1, w: 3, x: 4}. Give prob of sequence fv.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x - 36. Let t be w(13). Solve -4 = -t*k + 11 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 1:24 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 324293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p**(-2\/5)\/p)\/p)\/p*p)\/p)**36\/((p**(-5)\/p)\/p*p*p*p**6*p*p))\/((p*(p\/p**(2\/7))\/p)**(2\/17))**(-11\/4) assuming p is positive.\nAnswer: p**(-148951\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -10*p. Let k(n) be the third derivative of -n**4\/8 - 20*n**2. Calculate k(g(b)).\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*w - 58. List the prime factors of w.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2093 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -566435 or 8?\nAnswer: -566435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92925402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -386166*c**3 + 825714*c**2 + 2*c.\nAnswer: -2316996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - -18 - 7 - -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 362\/(-6) + 1\/3. Let k be 6\/u*15\/2. Is k greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*z**2 + 2 + 42*z**2 - 2*z + 0 in the form k*z**2 + t + h*z and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 191167*i**2 + 2533*i. Let p(j) = 151*j**2 + 2*j. Determine 6*b(x) - 7599*p(x).\nAnswer: -447*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -6) + 6 + -10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q. Suppose 0 = 5*z - 2*p - 19, 8*p = -2*z + 3*p + 25. Suppose -6 = -z*g + 4. Let n(j) = -3*j**g + 3*j**2 + j**2. What is v(n(a))?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**4\/5 - 146*z**3\/5 + 474*z**2\/5 + 1378*z\/5 + 152 = 0?\nAnswer: -76, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -13*j**2 + 102*j - 22. What is c(8)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 9)*1\/2. Let o be 128\/10 - 15\/(-75). Let v = o + -11. Solve v*d + s = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 3:03 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*2*776\/(-9312).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0385377 * 0.5\nAnswer: -0.01926885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 504 = -1694. Let k = 244 + n. What are the prime factors of k?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1068 and 1104?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65358793131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 3*r - 21, -5*u = -9*r + 8*r - 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/(-30))\/((-12)\/(-15)))\/((-3)\/(-24)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/22 + (-7460)\/55. Is -138 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -333 in decreasing order.\nAnswer: 5, -4, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4 = l. Solve -8 = 4*u, -5*b + l + 10 = 3*u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 + 0.13. Let x = j - 0.195. What is x rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.3 + -3.3. Which is the nearest to 1? (a) 1\/5 (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11802 * 0.1\nAnswer: 1180.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1287 and 6039.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83024.95 tonnes to kilograms.\nAnswer: 83024950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18555*b**3 + 55652*b**3 - 18587*b**3 - 18530*b**3.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56650370 and 2940.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 16) to base 12.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-4)\/(-24))\/((-14)\/8)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 h when two letters picked without replacement from hehwshddde?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 take away -45.132?\nAnswer: 135.132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(77) + (sqrt(77) - 4*sqrt(77)*6) + sqrt(77))\/(sqrt(891) + 5*sqrt(891)*2 - 2*sqrt(891)*4).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 636451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 4*z - 7, -j - z - 355 = -356 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -565*m**3 - 566*m**3 - 567*m**3 + 2756*m**3 - 497*m**3 - 562*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 165, -397, -959, -1521?\n\"Answer: -562*n + 727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -23*r**3 - 2*r + 1. Let p(b) = -25*b**3 + 122*b**2 - 1760*b + 1639. Let t(a) = p(a) - w(a). Factor t(l).\nAnswer: -2*(l - 39)*(l - 21)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64015, 63920, 63751, 63508, 63191, 62800, 62335?\nAnswer: 61796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 858*r**2 - 1805*r**2 - 1 + 716*r**2 + 1 as x*r**2 + y + p*r and give x.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 310713 by -10.\nAnswer: -310713\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 6:59 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9058283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2 - 9*g**3 - 1 + 2 - 2*g**3 - 2*g. Suppose 6*s - 247 = 383. Calculate the remainder when s is divided by l(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/65*15\/(-39).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 != 21683098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -219, -339, -477, -639, -831, -1059?\nAnswer: -1329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -16 (b) 1\/2 (c) -3 (d) -1\/6 (e) -227 (f) 2\/1021\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 204 (base 5) to base 6\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - w - 5*w + 3*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90977 or -91923?\nAnswer: -91923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.32 times -7390.8\nAnswer: -2365.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 0 - (58 + -52)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21\/((-693)\/159) + (-10)\/(-275)*-5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 110*1046290\nAnswer: 115091900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7778, 15559, 23340, 31121?\nAnswer: 38902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -2*q**3\/3 + 3*q**2\/2 - 7. Determine a(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8 - 3*p + 4 - 5*p**3 - 14*p**2 + 3*p. Let r(u) = -11*u**3 - 29*u**2 - 7. Let s(i) = -9*h(i) + 4*r(i). Does 8 divide s(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003163 to 6 dps.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(((n**(-26\/5)*n)\/n*n*n)\/n))**(-1\/34) assuming n is positive.\nAnswer: n**(-13\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.00281317 to two dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 2, 84016*y = 84008*y + 5*w - 82 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(32\/6))\/(-3). Let o = 0.03 + 0.07. Which is the third smallest value? (a) 1 (b) o (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 34*v**2 + 64*v - 69. What is the remainder when k(-36) is divided by 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (960\/50 - (-1)\/(-5)). Find the second derivative of b*z - 23*z**4 - 4*z + 2*z**4 - z**4 wrt z.\nAnswer: -264*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42802*y - 42897*y + 85803*y.\nAnswer: 104*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.16162 micrograms in tonnes?\nAnswer: 0.00000000007216162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 2 - 2)*(2*h + 2 - 2)*(3*h + 3*h - 7*h + 3 - 3 - h + (2 - 3 + 3)*(0*h + 2*h - h) + 0*h - 3*h + h - h - 4*h + 3*h).\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -5 (b) -4 (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g**3 - 2*g**3 + 2*g**3)*(-516*g + 14797 - 14797).\nAnswer: -3096*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 2*a**6 + 11*a**5\/5 - 13*a**4\/3 - 22*a**3\/3 - 4*a**2 + 72*a. Determine v so that s(v) = 0.\nAnswer: -1, -2\/5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, r: 5, d: 7, i: 3}. What is prob of picking 1 r and 2 i?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 12092783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(1 - 0) + 19. What is the greatest common divisor of u and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17432\/(-12)*(-3)\/(-10). Let z = 437 + b. Let x = 0.3 - -0.7. Sort -0.5, x, 0.3, z in decreasing order.\nAnswer: z, x, 0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 464371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 5*b + 9. Let z be j(6). Solve -z*i - 25 = -8*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 2. Let v be x(0). Let t be (v + 0)\/((-12)\/46). Let z = 22\/3 + t. Which is smaller: 4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11976120 divided by 2994030?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 12*y**2 + 19*y - 3. Let c be v(-7). Let q(l) = 1 - 4 - 108*l**2 + c*l**2. Suppose -3*o - 4*r = -o, -3*o + 2*r = 0. Calculate q(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64066, -129086, -194106?\nAnswer: -259126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(-24)*((-33)\/78)\/11?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a centimeter in micrometers?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 199 + -19?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 1080270\/217 and 4979 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*((sqrt(847) + -2)*2 + -1)*-6)**2*1.\nAnswer: -10264320*sqrt(7) + 159236928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**3 - 2*v**2 - 8*v + 4. Let t(a) = a**2 + 12*a - 10. Let f = 19 + -32. Let b be t(f). What is the units digit of l(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-4)\/(1 - 0). Calculate the highest common divisor of j and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8680.\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w**0*w))*w*w**(-2\/9)*w)\/(w*w*w**(1\/5))**(-2\/93) assuming w is positive.\nAnswer: w**(5336\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.07976618 to 3 dps.\nAnswer: -2.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 38 - 3*l**2 + 0*l**3 + 8*l + 1\/2*l**4. Let v(b) = 2*b**3 - 5*b + 7. Give -6*q(j) + 7*v(j).\nAnswer: 2*j**3 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/50, -0.2, 1, -363?\nAnswer: -363","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 i when two letters picked without replacement from ooduiqqiiiqiididk.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = g, -3*q - 3 + 1 - 14 - 11 = 3*g for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -393, -360, -327, -294?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 148*p**4 - 292*p**4 + 145*p**4 + 2*p**2 - 5*p**3 to f*p**3 + x*p**2 + b + k*p + w*p**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*o - 57, 18*z - 20*z + 29 = -3*o. Let k(r) = 14*r - 6. Let q be k(5). Let m = 103 - q. Calculate the greatest common divisor of m and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -178 or -52094\/291?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**2 + 8*h**2 - 3*h**2 in the form y*h + o*h**2 + l and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and 369?\nAnswer: 11.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0681 + 6.94882117435?\nAnswer: 7.01692117435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 5*p - 745 + 750, -5*o - 59 = -13*p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -259*w + 1556. Let t be d(6). Factor 5\/3*q**4 - 5\/3*q**t + 0 - 5\/3*q**3 + 5\/3*q.\nAnswer: 5*q*(q - 1)**2*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l + 23 + 1 - 47.\nAnswer: 4*l - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 7*l = -3*m + 12, 4*m = -2*l + 8. Suppose m = -7*p + p + 6. Suppose -5*i = -p - 4. Solve -4*y - i = 15 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/41 + -89\/287. Which is greater: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 11:44 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 19495*f - 156030. Calculate u(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225582444?\nAnswer: 2, 3, 827, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 3*b - 15. Let x = -5 + b. Suppose n + 4*n + 2*r = 29, -n - 2*r + 9 = x. Solve -4*k + 22 = 4*h - 2*k, -3*k = n*h - 28 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 16*y = 42. Suppose -4*o + 31 = 3*r, 4*o - y*r = 2 - 1. Calculate the remainder when o is divided by ((-4)\/10)\/(1\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -1*(sqrt(192) - sqrt(3)) + -5)**2*-5 + 4.\nAnswer: -661 - 300*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 2, -89, -1 in decreasing order.\nAnswer: 2, 1, -1, -2, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 267*s + 154. Let f(q) = 1. Let j(c) = 4*f(c) + n(c). Differentiate j(z) with respect to z.\nAnswer: 267","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.0943, 2\/9, 283?\nAnswer: 0.0943","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/5)*f**5*f*f*f*(f**22\/f)\/f*f*f**(-5)*f assuming f is positive.\nAnswer: f**(127\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**4*s - 23770618*a**4 + 39428*a**2*s + 45*a**2 + 9 wrt a.\nAnswer: -24*a*s - 570494832*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6 - 62\/(-3). Let m(v) = -300*v**2 - 15*v + 13 - 13*v + 299*v**2. Let w be m(-27). What is the greatest common factor of k and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**2 - 6924*g - 55584 = 0. What is g?\nAnswer: -8, 2316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 13 = 183254*m - 183252*m, n = 7*m - 68 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 11:47 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 326*l**2 + 7*l + 326*l**2 - 654*l**2. What is k(-3)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27550474*m**3*q - 833*m**2 + 373*m*q - 3*m - 1 wrt m?\nAnswer: 165302844*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -5. Let j = g - -2.6. Let r = 344\/9 + -38. Sort r, j, 1 in descending order.\nAnswer: 1, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1265\/50 + -25 + (-1332)\/40.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 109 = -51*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25483?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x + 23*r + 145 = 21*r, -76*x + 102 = -85*x - 3*r for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l - 37. Let s be v(-6). Let w be (-6)\/(3\/3 + s\/(-2)). Suppose 3*t + w*z = 622, 3*t + 5*z - 541 = 79. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*r - 6039*r**2 - 51*r + 17*r.\nAnswer: -6039*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 1. Let t(x) = 5*x + 4. Let y(n) = -n**3 + 5*n**2 - 3*n + 2. Let a be y(3). Let o(z) = a*m(z) - 2*t(z). Give o(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*j**2*z - 50206*j**2 + j - 11219*z + 2 wrt z.\nAnswer: -16*j**2 - 11219","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4c + 2a38cd?\nAnswer: 2a392a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 23*m - 107. Let h be 1*(10 - 3)*(5 - -4)\/9. Calculate g(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -7*u**2\/2 + 11*u + 5. Is p(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -9*((-30)\/9 + 3). Let u(k) = -k**3 - 6*k**2 + 6*k - 3. Let n be u(-7). Solve -w*c = -c - n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*h - 7469 - 1001 = 0 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -2, -1\/7, 5, 3, 37?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264 and 759?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4635 (base 8) to base 4\nAnswer: 212131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 5 = -3*g, 2*g - 5*z + 2*z = 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 1\/3, -14\/367, 4?\nAnswer: -14\/367","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 271037 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 + 2*d**4 + 3 + 4*d**3 - 2*d + 4*d**3 + d**2 - 11*d**3 - 4 to l + y*d**2 + a*d + c*d**3 + m*d**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 3*u**2. Let k(s) = 24*s**3 - 18*s**2 - 2*s + 9. Determine -5*i(y) - k(y).\nAnswer: -19*y**3 + 3*y**2 + 2*y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-6))\/(3\/810*-5). What is the closest to k in 2\/7, -2\/5, -1\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 76 = -2*x, 0*x - 164 = 4*x - 5*k. Let l = 49 + x. Determine c so that 2*c**4 + 0*c**l - 3*c**3 + 0*c**3 - c**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 681 = 4*k + 3*u, -20*u + 24*u = -4*k + 684. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 3 + 0*a**3 - 2*a**2 + 0*a + 1\/12*a**4. Let x(o) be the second derivative of m(o). Let h(p) = -4*p. Give x(h(i)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -765*g + 1674 + 4217 = -2829 - 460 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*((-3*w + w + 3*w)*(-4 + 2 + 1) - 9*w - 4*w + 6*w - 6*w + 13*w - 8*w).\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n. Let d(b) = 10*b**2 - 7*b - 4. Let t(a) = 7*a**2 - 5*a - 3. Let s(f) = -5*d(f) + 7*t(f). Calculate g(s(j)).\nAnswer: -j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 40\/60 - (-5)\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20966513081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -26095 divided by -5?\nAnswer: 5219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**2 + 54*j + 120 = 0. Calculate j.\nAnswer: -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**4 + 2*q**4 - q**4)*(-4 + 5 + 1) - 7906*q**4 + 10745*q**4 - 8910*q**4.\nAnswer: -6075*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p - 1. Let h be z(-20). Let w = h - -126. Let o = w + -41. Solve -o*t + t = -15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -8.95. Let d = 2.391 - 2.291. Which is the smallest value? (a) d (b) g (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 784 - 791. Which is the nearest to p? (a) 4 (b) 0.4 (c) 5\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25052077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3609 + -3620. What is the second smallest value in 0.06, 0, -1\/6, i?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (122 - -1) + (5 - (-2)\/(-2))?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2348, 3916, 6536, 10208, 14932, 20708, 27536?\n\"Answer: 526*l**2 - 10*l + 1832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 633.88 rounded to the nearest ten?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 47*i**2 + i. Let c(w) = -w**2 - w. Give c(y) + x(y).\nAnswer: 46*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5ea1 (base 16) to base 9.\nAnswer: 36206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6*(-2 - -2))\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/45 and 101\/6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -14*k**3 - 12 - 1\/2*k**2 - 35*k. Find the second derivative of b(l) wrt l.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 2:31 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 + -2)\/((-3)\/(-8)). What is the units digit of (2 + 2)*4\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 29*n - 12 + 9*n.\nAnswer: -20*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(12) + sqrt(48))**2 - sqrt(300)*-1) - (((3 + sqrt(3))*3 + sqrt(3))**2 + sqrt(12)\/sqrt(4)*-3)) + 2.\nAnswer: -59*sqrt(3) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -19*j + 13. Suppose 0*l + 2*l - 3*c - 6 = 0, 0 = -4*l + c + 22. Let m be g(l). Let o = m - -178. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*k + 41*k - 109*k + 60*k.\nAnswer: 23*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8702*g**4 + 15989 wrt g?\nAnswer: 34808*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y + 5*y**3 + 7*y)*(-4 - 2*y + 4) - y**4 - 1 + 1 + 3*y**4 - 3*y**4 + y**4 + (1 + y**2 - 1)*(y**2 + y**2 + 0*y**2).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/498683 + 56349595\/263304624. Calculate the common denominator of 23\/968 and q.\nAnswer: 5808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 2*t + 24. Let q = 554 + -554. Which is the biggest value? (a) t (b) 1 (c) 2 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 729 - 731. Which is the biggest value? (a) -9 (b) -54 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 0.725993776.\nAnswer: -2.274006224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*i - 135*i = -6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-688)\/(-129))\/(10\/15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**4\/12 + 5*v**3\/3 + v**2 - 2*v. List the prime factors of q(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -1, 1, 3, 5, 15, 27 in increasing order.\nAnswer: -18, -1, 1, 3, 5, 15, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -4, -3\/8, -1088, -42?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 43011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 10 = s, -5*s - 2*l + 58 = -3*l. Calculate the smallest common multiple of s and 1*15 + (-1 - -2).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 131?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 0*v**4 - 4\/225*v**6 + 0*v**3 + 4*v + 1\/50*v**5 + 1\/315*v**7 + 1 + 0*v**2. Factor p(r).\nAnswer: 2*r**3*(r - 3)*(r - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6.7 (b) -14 (c) 1\/9 (d) -0.1 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/14243, 1\/23, -2\/5, -2\/3, 0.1?\nAnswer: 1\/14243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204 + 635616*y**2 + 207 - 411.\nAnswer: 635616*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9969*k**3 - 29888*k**3 + 9969*k**3 + 9936*k**3 + 4*k**2.\nAnswer: -14*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*y + 219*y - 5 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 4:42 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 67, -0.03, 9\/44 in ascending order.\nAnswer: -3, -0.03, 9\/44, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 11 = 9*p. Suppose 0 = 5*a - p - 94. Solve 0 = 3*m + a - 9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12318329, -24636642, -36954955, -49273268?\nAnswer: -61591581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9*104\/351*6. Solve -3*z - y - 16 + 24 = 0, 4*z - m = -4*y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 2*g - 3. Let r be g*((-15)\/(-5) - 4). Let x = 1 + 1. Put r, x, 4 in descending order.\nAnswer: 4, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -10*w - 3. Let f(l) = 5*l + 2. Let r(c) = 7*f(c) + 4*o(c). Let m be r(-1). Calculate the highest common divisor of 63 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2855 - -2838. Let b(z) = -4*z - 42. Calculate b(p).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 30*c**2 - 35*c - 415. Let x be z(31). Is x less than -539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 7217\/28)\/(1\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -11*o**3 - 1091*o**2 + 897*o - 288. Determine m(-100).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 482761308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11 + 23.89. Let w = -28 + l. Which is the closest to 0? (a) 3 (b) 0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-10))\/(2\/50). Suppose 0 = -2*y - 3*y - u. Is y*(-10)\/(-16)*-6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3159*b**3 - 12*b**2 - 9*b - 5. Let a(v) = 789*v**3 - 3*v**2 - 2*v - 1. Give 9*a(z) - 2*q(z).\nAnswer: 783*z**3 - 3*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q. Suppose 4*j = -j + 5. Suppose 3*g - j = -10. List the prime factors of z(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(0 + 11) + (13 - 12). Are 13 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 99 + -98. Solve -5*z + v + 4 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8243, -7984, -7555, -6956, -6187, -5248?\n\"Answer: 85*q**2 + 4*q - 8332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 143440\/(-4890)*6\/(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 31. Solve 0*n - t*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19490 divided by 6.\nAnswer: -9745\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1287 - 0.0912645343?\nAnswer: -1287.0912645343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -6. Let c = 13369921 + -13369912.000061. Let v = s - c. What is v rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 365443 + 137218. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1526 - -2413. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-3\/5))\/(x*x**(3\/10)))\/(x*x**(-3\/4)*x**(1\/5)*x) assuming x is positive.\nAnswer: x**(-47\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 2*s - 4 - 42061 + 42061 - 338*s + (0 - 3 + 1)*(0*s + s - 2*s) - 3*s + 4*s - 2*s + 2*s - s - 3*s + (-2*s + 0*s + 4*s)*(2 - 5 + 1).\nAnswer: -341*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2791532.\nAnswer: 2, 373, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 98*z**3 - 2*z**2 + 9*z + 5. Let o be u(7). Let y = o - 5327. Suppose y = q - 11743. What is q rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 7668.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 18 + 53 = 0. Suppose -5*k + u + 10 = 0. What are the prime factors of 30\/((-6)\/k*-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.01788 (b) -1\/29 (c) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-4*-1*sqrt(68)*4)\/(-4*(sqrt(144) + -2*sqrt(144))))**2.\nAnswer: 8*sqrt(17)\/3 + 104\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 198\/3 + (13 - 23). What is the highest common factor of 236 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*x - 228 = 0, 0 = -x - 2*x - 9. Let f be 10\/4*b\/30. Suppose 5*v = -f - 1. Put 1, v, -4 in decreasing order.\nAnswer: 1, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -16 - (550 - 539)) + 29 + 1?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**6 - 70*q**5 - q**3 + 170*q**2 - 29*q?\nAnswer: 240*q**3 - 4200*q**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36 + 36 - q + (2 - 5 + 1)*(q - 4*q + 5*q) + 3*q - q - q)*(6*q**2 - 2*q**2 - 2*q**2) to g*q**2 + y*q + l*q**3 + v and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5100, -41729, -141416, -335691, -656084, -1134125?\nAnswer: -1801344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 5:35 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.31366 less than -421134?\nAnswer: -421131.68634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -11\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 4:51 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2605*i**2 + 4940*i + 538. What is v(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 10*w - 36. Let g = 16595 + -16580. What is l(g)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 6:38 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*t**2 - 401*t**2 + 2 - 2)*(-3*t**2 + 5*t**2 - t**2 + (58 + 72 - 163)*(t**2 + 2*t**2 + 0*t**2)).\nAnswer: 34104*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a factor of 2549834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4776 is divided by 1265?\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 38 + h**2 + 0*h - 5*h. Let d be (7 - 5) + (6 - 2)*(-29 + 31). Calculate o(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((-108)\/(-30) - 4) + 13. Calculate the greatest common factor of 624 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12\/16 + (-3444)\/(-16).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -153 - -20949?\nAnswer: 207a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3863, -3868, -3873, -3878?\n\"Answer: -5*t - 3858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k + 623 - 623.\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*a - 4 = 0. What is the greatest common divisor of 8 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22987 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -2\/3*d**3 - 45\/2*d**2 + 1\/2*d**4 + 10 + 0*d. What is the second derivative of f(x) wrt x?\nAnswer: 12*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -16*s**2 + 194*s - 23. Let l be a(12). Which is smaller: l or 3\/1898?\nAnswer: 3\/1898","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57.02 - -56. Let t = u - -1.4. Let w = t - -0.02. What is the smallest value in -2\/7, 1, w?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3, -2 = 5*i - 2*g + g. Let l be (1\/(-7) + 0)\/(0 - i). Is 1 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 9*u = 57. Let a = -29 - u. Let q = 56 - a. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 10:25 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 580 and -93.\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23454 is divided by 141?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -667\/90 - -73\/9. Let n = -2887\/10 + 288. Calculate the common denominator of l and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -1c52?\nAnswer: 1c57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28045 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -9*w**5\/20 + 4*w**4\/3 - 775*w**3\/6 - 2651*w**2. Differentiate f(t) with respect to t.\nAnswer: -54*t + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -26. Let g = -16 - r. What is the smallest value in 0, -0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301217572.\nAnswer: 2, 75304393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*a = 4*c - 104, 4*a + 2*c + 8 = 9*a - 3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*w - 3*w**3 - 135*w + 266*w.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 + 197*q**3 - 967*q**2 + 1347*q - 576.\nAnswer: -(q - 192)*(q - 3)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 + 102*i - 1389. Determine a(13).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 1:48 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -287, -87, 133, 379, 657, 973, 1333, 1743?\n\"Answer: y**3 + 4*y**2 + 181*y - 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*s + 12 = 2*s, 3*k + 38 = -2*s. Let p be (4\/4084)\/((-1)\/k). Let q = p - 121599\/10210. Find the common denominator of 52\/5 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 462 + 973. Suppose -5*n = -33 - 42. What is the third derivative of n*f**2 + 5*f**2 + h*f**5 - 168*f**5 wrt f?\nAnswer: 2220*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2 and -89\/1519028?\nAnswer: 1519028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423*k + 1417 = -1544 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y - 4. Let z(m) = -6*m - 5. Let a(o) = 3*u(o) - 2*z(o). Let t = 1 + -4. Let i(f) = -2*f - 2. Let w(q) = t*a(q) + 4*i(q). Calculate w(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 91, 0.44, -5, -580 in decreasing order.\nAnswer: 91, 0.44, -1\/4, -5, -580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -561*j - j**3 - j**2 + 561*j + j**2.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14 (b) 40 (c) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 9:53 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 5*x**2 + 5*x + 1. Let f be k(-1). What is o in f*o**5 + 153*o**3 + 27*o**2 + 15*o**2 + o**5 + 126*o**4 + 14*o**5 = 0?\nAnswer: -7, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3874*a + 10153 = -1753*a - 1978*a for a.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -59, -145, -269?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-30) - (6745431\/(-210) - -20). Calculate the greatest common divisor of q and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 19*l**2 - 24*l - 54. Let o = 14 - -62. What is the remainder when o is divided by a(-20)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 11:35 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 g when three letters picked without replacement from {g: 3, u: 5}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32 + (1 - -1 - 6). Let z be (-1872)\/(-42) - (-12)\/c. Let k(a) = -a + 3. Let f be k(-6). What is the highest common divisor of f and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -506 - -1681. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2698*t. Let o(d) = d**2 - d - 3597. Calculate q(o(u)).\nAnswer: 2698*u**2 - 2698*u - 9704706","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 + 2*l - 1. Suppose -k - 2*k = a - 19, -a + 29 = 5*k. Let f = k - 3. Let s be u(f). Which is smaller: s or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9094 + 672923\/74. Calculate the common denominator of 25\/16 and a.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123803?\nAnswer: 123803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*i + 87 = 0, o + 0 = 4*i + 41. Suppose -60 = 2*f - 0*f. Let n be 0*((-4)\/(-8) + 0) - f. What is the greatest common divisor of o and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*t - 33*t + 75. Let d = 39 - t. Calculate the greatest common divisor of 96 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 9 = 7*v. What is the first derivative of 0 - v - 19*r - 9 wrt r?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 7:13 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -7*d**2 - 11*d**4 + 16*d**4 + 403*d**2 - 14*d**4 - 48*d**3 + 11*d**4 + 882 - 1232*d = 0.\nAnswer: 1, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20938 and 327294?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 3:39 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**4 + 99431*j**3 - 233830*j**2.\nAnswer: -72*j + 596586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1443 or -1?\nAnswer: -1443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(-12)\/(-27)*42\/28. Let y(z) = z**3 + 7*z**2 - 10*z - 14. Let w be y(-8). Which is smaller: a or w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2304, -3, 562 in increasing order.\nAnswer: -3, 562, 2304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 6. Suppose -4*w = -l*m + m - 16, 2*m = w - 4. Solve 4*a + 2*j = -10, 2*a + 0 - 10 = -w*j for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 65*x - 90 = -64*x, -3*u = -5*x - 282. Calculate the lowest common multiple of 123 and u.\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000387341 rounded to five dps?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 8*n - 7*n + l, 3*l = n - 17 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*(-3)\/(-25) + 1157\/(-13350)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 5333\nAnswer: -4\/5333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1 + sqrt(1573) + 0)*3)**2 - (-2*(sqrt(1053) + 2 + sqrt(1053) + sqrt(1053))*4*6)**2.\nAnswer: -21915054 - 247842*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence atb when three letters picked without replacement from {y: 1, f: 2, b: 3, i: 1, a: 2, t: 3}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 210093552?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 10:23 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 54108 divided by -9018?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4 - 87396*q**3 - 636242799*q**2 + 3820603698*q.\nAnswer: -3*q*(q - 6)*(q + 14569)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence plpp when four letters picked without replacement from {l: 7, p: 6}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 v when three letters picked without replacement from ovov.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -758 divided by -16.\nAnswer: 379\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69987691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 + 2\/(2 + 0). Let p = s + 8. Let l(n) = 2*n**3 + 5*n**2 + 5. Let m(r) = 7*r + 1 + r**2 - 7*r. Determine p*l(u) - 5*m(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 3:33 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/288876 and 137\/7602.\nAnswer: 288876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 13*k - 8. Let r(z) = -z**3 - 3*z**2 - 7*z - 15. Let i be r(-5). Let q = i + -55. Is b(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2332*m - 3334. List the prime factors of c(18).\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 17 (b) -5 (c) -33 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -3 + 6 - -14 - (-1 + -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 20, 0*a - a - 4*z - 38 = 0. Let q = a + 21. Let r be q\/((-1)\/(40 - -4)). Calculate the greatest common divisor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 2:09 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 6:18 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/259120 and -21\/400.\nAnswer: 1295600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/3662 and -7\/13354.\nAnswer: 24451174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 64 in -50, 0.3, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 3*w**2 - 6*w - 6. Let r(v) = v + 1. Let h(f) = -5*r(f) + x(f). Give h(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**3 - 24210*o**2 - 461405*o - 1895790 = 0. What is o?\nAnswer: -13, -6, 4861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 570 and 21180?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a - 56. Calculate h(-7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*n**3 + 19605*n**2 - 1964478*n wrt n?\nAnswer: -90*n + 39210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n - 27. Calculate l(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 99*v**5\/5 + 5*v**2\/2 + 15*v + 997. Find the second derivative of r(q) wrt q.\nAnswer: 1188*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511078\/29 smaller than 17623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 231, 362, 513, 690?\nAnswer: 899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -39*i**3 - 19*i**2 - 36*i + 4. Let u be p(-3). Calculate the highest common factor of 355 and u.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6, 0.5, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 61 (b) 14.09 (c) -315\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.00668 in 1, -2\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -538493 + 791208. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5610060?\nAnswer: 2, 3, 5, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 4, k: 5}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95172 and 639012?\nAnswer: 4473084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7681356 by -3840678.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 46. Suppose o*u = -6, -4*g - 5*u = -460 - 193. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 501\/((-9)\/(-24) - 0). Suppose -q = -23*s + 19*s. Suppose 17 = -3*x + 5*t + s, -5*x - t = -575. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 557?\nAnswer: 4456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3183 - 1422. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-71 + 54 - -77 - (-6 - -3))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmi when three letters picked without replacement from {i: 4, r: 6, m: 2, c: 1, u: 4}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*u + 156 = -131*u. Let g(y) = -y**3 - 4 - 12*y**2 + 5*y - 3 + 7*y. What is the units digit of g(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014365 to five dps.\nAnswer: -0.00144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -4\/5, -9\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/13 - 4*a**2 + 280*a\/13 + 784\/13.\nAnswer: 2*(a - 14)**2*(a + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -1, -74, -2, 2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6939 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14028793 * -3.\nAnswer: 42086379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.59807 + -0.595. What is m rounded to 4 decimal places?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -224497534 times -0.4?\nAnswer: 89799013.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.01 + 0.01. Let b = i - -5.0031. Round b to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1505 divided by -267\nAnswer: -1505\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100101011001001000 - -10011010?\nAnswer: 100100101011011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1148 divided by 287\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1549 - 1549. What is the nearest to 0 in -4, 4\/21, 1\/11, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 346 and 4671.\nAnswer: 9342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*t = 5*t + 21, -5*c - 2*t + 156 = 0. Let p = -17 + c. What is the highest common divisor of p and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 2*i + 448 - 2*i.\nAnswer: i + 448","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 2*n + 8, 4*h + 598 - 576 = 3*n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35218 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - -7 - (-50 - -44)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 11340\/4*(7 - (-1 + 7)*1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 2\/5 (c) 0 (d) -2.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3831775, -7663366, -11494957?\n\"Answer: -3831591*t - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 15, 0 = -3*r - 5*t + 472 - 442 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pddddddddddddddddddp. What is prob of picking 2 p and 2 d?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410*o**3 - 1018*o**3 + 605*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/8 (b) -26 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 31359 divided by 60\nAnswer: 10453\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -16)*(-89)\/(-356)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5)*l*l**(-2\/5)\/l)**41 assuming l is positive.\nAnswer: l**(-1107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + -8 + -38 - ((16 - -1) + 4).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 157803, 315414, 473023, 630630, 788235?\n\"Answer: -h**2 + 157614*h + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3118265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*o - 6 = -2*y - 222*o, -4*y + 3*o = -12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 2. Let o(w) = w**2 - w + 1. Let s(n) be the first derivative of -4*n**3\/3 + 5*n**2\/2 - 7*n - 1. Determine p*s(r) - 6*o(r).\nAnswer: -2*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(50) - (sqrt(128) + -2 + sqrt(128))))**2.\nAnswer: -1584*sqrt(2) + 8856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 - 63. Suppose 3*t - 178 = -5*n, 5*t + q*n - n - 286 = 0. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019501 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*t = -z - 109, 5*t = 5*z + 265 - 290 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3360, -3, -56, -5, -4.\nAnswer: -3360, -56, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 + (1 - (-8 + 16)) - 0) + -6 - 84.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 12363.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 12, m: 1, f: 2, q: 3, z: 2}. What is prob of sequence zf?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 286\/5434 - 1764\/(-57)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u = 5*u + 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 2. Let i be f(-2). Let x be i\/(-1654)*(-2)\/(-6). Let a = 62033\/6616 - x. Find the common denominator of a and 57\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38948 and 35.\nAnswer: 194740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2208*t + 1423*t + 19565 = -1344*t for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 8:14 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2) - ((sqrt(2) - (sqrt(8)\/sqrt(4) - sqrt(2) - sqrt(2))) + 2))**2) + 5.\nAnswer: -3*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aappopppaao. Give prob of sequence oo.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(-2*sqrt(4)*1) + 1.\nAnswer: -sqrt(5)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 8:06 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4) - (-8)\/32. Let p be (-15*(-2)\/70)\/(-5). Which is smaller: o or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16 + 14)\/(-18) - (-4 - (-6794)\/(-9)). Calculate the highest common factor of 4191 and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(((((w\/w**2*w)\/w)\/w)\/w)\/w)*w\/w**(5\/7))**(1\/18) assuming w is positive.\nAnswer: w**(37\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/25? (a) 0.1 (b) -2 (c) 82 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 930973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*x + 1, -3*f + 8*f = 4*x + 35. Sort f, -2, 5, 4 in decreasing order.\nAnswer: 5, 4, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0177 + 1.1777. Which is smaller: -0.1 or g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*m + 8 = 0. Solve 0 = -3*o + 2 - m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/2 and 39\/342554?\nAnswer: 342554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 = -3*k - 14*k. Let j be 27\/(-36) + (-55)\/k. Solve 2*s + 4*l + 1 = 25, -4 = -j*s + l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a meter in millimeters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29078.04649 - -29078. What is j rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 99*p. Let f(z) = -59*z - 13223. Determine f(u(j)).\nAnswer: -5841*j - 13223","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 39, 36, 23, -6, -57, -136, -249?\n\"Answer: -j**3 + j**2 + j + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h - 2*h - 2*h)*(2 + 2 - 6)*(6*h**2 - 2*h**2 - 2*h**2) to the form u*h + o*h**3 + x + i*h**2 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*t + 17 = 105, -t = 0. Let y = -26 - -18. Let o be (i + 2)*(-7)\/y*-6. What is the greatest common factor of 21 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -1. Suppose 2*n + 4 = 2*j + j, 4*j = -n + m. What is the second derivative of 4*i**4 - 11*i - j*i**4 + 6*i wrt i?\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 1. Let n be u(-2). Suppose 5 = -n*k + 2*k. What is the remainder when -1*k\/(10\/66) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.21 times 10.895?\nAnswer: -13.18295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.18252 to 1 dp.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4326 + -4319. Let q = 6 + -6. Suppose 2*s = -2*y + 2 - 0, q = 4*s + y - 1. Solve s = -3*i + t*i - 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.53899826 - -1.539. Round y to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + b + 10 = 0, -5*b - 28 = -8*c + 4*c. Let f be 5\/((-20)\/(-8)) - c. Solve 4*w + f*r = -r + 19, 5 = 2*w + 5*r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19419 + h + h + 19369)*(-4 + 2*h + 0*h - 2).\nAnswer: 4*h**2 - 112*h + 300","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 9*c**2 + 9*c - 10. Let l be s(-10). Suppose 0*n - 32 = -4*i - 2*n, -4*i - n + 32 = l. Solve -2*p + 5*w = 14, -p - i = -5*w + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 991 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*k**3 - 2*k - 3*k**2 + 12*k**3 - 2*k**4 + 3*k**2 to the form v*k + j + s*k**4 + m*k**2 + i*k**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/5)\/d)\/d*d\/d**2*d)\/((((d\/d**(2\/3))\/d)\/d*d*d)\/(d**1\/d)) assuming d is positive.\nAnswer: d**(-29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125740 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -145*q + 3629. What is y(25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28671 - 67788 + 337335 = -267*v - 6216*v for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**3 + z**3 + 6*z**2 - 5*z**2)*(-3 + 1 + 0).\nAnswer: 6*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -5. Let m = -99 + 103. Let z = 4.1 - -0.9. Which is the nearest to 0? (a) p (b) z (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -728631, -1457304, -2185977, -2914650, -3643323, -4371996?\nAnswer: -5100669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5816948989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**2 + 3*m**2 - 183 + 364 - 181.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/30 and -17\/303180?\nAnswer: 303180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 - 166 - (-120)\/(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 0*p**3 + 1\/30*p**5 - 1\/8*p**4 - 7*p**2 + 0 + 0*p. Is 20 a factor of n(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgvbvgbv. Give prob of picking 2 v.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2332712848?\nAnswer: 2, 43, 3390571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*r + 10. Let f(k) = -5 + 3*k**3 - k**r + 3 + k**2. What is the tens digit of f(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -1 + -2 + -48 + 42.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1040, -2054, -3070, -4088, -5108, -6130, -7154?\n\"Answer: -l**2 - 1011*l - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -q + 17, -5*b - 15 = 5*q - 20. Solve d - 28 = -q*n, -5*d + n = -10 - 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -955.1 + 955. What is the fourth smallest value in -745, l, 5, -1\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1199 = -16*h + 3039. Solve 0 = h*a - 119*a - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -9 - 530*v + 4 - v**2 - 3 - 15 + 540*v. What is y(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(850)*1 + sqrt(34))\/(-4*sqrt(32)).\nAnswer: -3*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -12*b + 63. Let o(l) = -21*l + 142. Let z(p) = -4*o(p) + 9*r(p). Let d(j) = 22*j - 1. Calculate z(d(h)).\nAnswer: -528*h + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506 - 642 = 574*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-258)\/(-387) + (-3)\/45 + 212\/(-20)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - 2\/(-4)*4. Let m = h + 3. Solve -s + m*v - 2 = v, 0 = -s + 2*v - 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 59*b + 62. Let h be d(-7). Let g = h + 3163\/9. What is v in g*v**2 + 2\/9*v**5 + 0 - 4\/9*v**4 - 2\/9*v + 0*v**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.6329 - 0.2?\nAnswer: 136.4329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 11:33 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 35 + 21. Calculate the lowest common multiple of f and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 145716.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = 52*j + 81 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -5, -13 in decreasing order.\nAnswer: 5, 0, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 48 * -270\nAnswer: -12960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -136.4 take away -239388974529?\nAnswer: 239388974392.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 114*f - 63*f**2 - 78*f**4 - 115*f - 3488*f**4 - 1861*f**2 - 2520*f**2 wrt f?\nAnswer: -85584*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 5*a = 1 - 25, 3*a = 9*l + 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.08, -6, 0.97, -11.18?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -796735, -6373717, -21511183, -50989375, -99588535?\n\"Answer: -796707*z**3 - 33*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 39 - 3 = 0. Let v = -10 + i. Suppose 4*g = 5*l - 59 - 24, 0 = -v*l + 5*g + 70. What is the remainder when 43 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1003871 is divided by 167034?\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/20*(-2)\/5*638\/2233?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001669619396 rounded to 7 dps?\nAnswer: 0.0016696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-108)*-307 - -4. Let s = -19\/4 - u. Let x = -0.3 - -0.1. What is the nearest to 0.1 in s, x, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + -76 + (165 - 168).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 14\/3*h**3 - 179\/2*h**2 + 69 + h. What is the first derivative of l(w) wrt w?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*z - 27 = 3*y, y - 3 = 0. Suppose -f - z = -c + 2*f, 3 = -f. Let w be (0\/(-4) - 4) + c. Let h(t) = -6*t. Give h(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0\/i)\/i*i)**9*i**(1\/6)*i*i**(-1\/3)*(i**(2\/3)*i*i**(-5))\/(i**0)**4 assuming i is positive.\nAnswer: i**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**5\/20 + l**3\/2 - 5*l**2. Factor t(v).\nAnswer: -3*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-5)\/(t*t**0)*t\/t**(-4)*t*t**(-2\/7)*t*t*t)**33)**(-8) assuming t is positive.\nAnswer: t**(-5016\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 0.033 (b) 0.8 (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 734 and 83548.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -7312*x - 109644. What is n(-15)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 94*k - 379. Let v be h(4). Put 3, v, -50, 2 in decreasing order.\nAnswer: 3, 2, v, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 912250.3us?\nAnswer: 912.2503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-1\/4))**37*(l*l*((l\/l**(2\/25))\/l*l)\/l*l)\/l**(-3\/2))**(-23\/5))**(-3\/5) assuming l is positive.\nAnswer: l**(349623\/2500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16621 - -33685. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 + 124. Let a = f - 38. Let n(o) = o**3 - 8*o**2 + 7*o + 8. Let u be n(7). Calculate the greatest common divisor of a and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-72)*(-6)\/(-3)*-1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -3\/155 (b) -5 (c) 0.2 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -46*l - 7 - 6 + 2. Let q be k(-8). Suppose 3*z - q = 111. Calculate the greatest common factor of z and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -387 + 393. Let m be 3 - (133\/(-56))\/(-1). Put m, j, -1\/4 in increasing order.\nAnswer: -1\/4, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 656506.\nAnswer: 2, 17, 19309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -60362, -120501, -180408, -240077, -299502, -358677?\n\"Answer: m**3 + 110*m**2 - 60476*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4620.8 - 4621. Let o = -13 - -12. What is the nearest to o in -5, -30, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.55, 0.4, 2\/9, -1, 3 in ascending order.\nAnswer: -1, -0.55, 2\/9, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82 - -84. What is the third derivative of 3*f**2 - 10*f**3 + 3*f**v - f**2 wrt f?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Suppose 7*l - f*l - 25 = 0. Suppose -5*s = -0*r + 3*r - 32, r - l*s - 24 = 0. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2457.1305 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n - 66. Let r be m(22). Suppose 2685*l - 2682*l - 879 = r. Calculate the remainder when l is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3592915*i**3 + 2368764*i**2 wrt i.\nAnswer: 21557490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 10 + 2)*(26*g + 345 - 345)*(3*g + 2*g - 3*g) to q*g**2 + b + x*g and give q.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 0*q + 5*q)*(2 + 2 - 5)*(-73 + 39 + 108) in the form j + f*q and give f.\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*d**2 - 7005335*d - 2802130.\nAnswer: -5*(d + 280213)*(5*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**2\/5 + 165*m = 0.\nAnswer: 0, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z - 30*z + 172 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11826 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: Which is the second smallest value? (a) 0 (b) 21.2 (c) 738\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(1\/12)*y)\/y**6)\/(y\/(y**2*y))**(-4\/19))**(-9))**(10\/13) assuming y is positive.\nAnswer: y**(18255\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 0 + 21\/2*s**2 + 2*s - 1\/3*s**3. What is the derivative of a(k) wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/19, 3\/5, -3?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8298*l**3 + 5403 wrt l.\nAnswer: 24894*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from goooooooogooooooooo.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8029019380?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*b - 8*b + 18 = 0, 13*o - 4*b = 146. What is the smallest common multiple of o and (-124)\/(-6) - 2\/3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 6. Let k be u(-3). Suppose -5*y = f - 244, -f + 144 = k*y + 2*f. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240500 is divided by 57?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -q, -2*q = 2*u - 4*u - 12. Let f = 1 - u. Let y(s) = 5*s**2 - s - 1. Does 6 divide y(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 566115?\nAnswer: 3, 5, 11, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-6) + 37\/(-3). Let t(j) = j**3 - 9*j**2 + 16*j - 7. Let q(p) = 2*p**3 + p**2 - p. Let z(v) = -q(v) + t(v). What is the tens digit of z(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + -45. Round f to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - l + 0)*(-2 + 2 + 2*l) + (-5*l - 3*l + 0*l)*(4*l - 2*l + 0*l) - l + l - 4*l**2)*((0 + 0 + 2*l)*(4*l - 5 + 5) + l**2 - l**2 - 2*l**2).\nAnswer: -132*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7543012*a**2 + 7734823?\nAnswer: 15086024*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 9 = -20. Does 29 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3424 = 3*v. What is v rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1035.95 to the nearest ten.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 4, x: 5, d: 10}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.77091871 to 3 dps.\nAnswer: -1.771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 13*d - 6. Let g = 13 + -4. Is p(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 - 0.7. What is the second biggest value in 0.05, -3, d?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 9:35 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1369158 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7*w**2 - 5*w + 5. Let k(o) be the first derivative of -o**3 - o**2 + 2*o + 25. Let r(z) = -5*k(z) + 2*s(z). Calculate r(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25598364 divided by 2.\nAnswer: -12799182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 10*o**2 + 2*o + 3. Calculate the remainder when 272 is divided by k(-2).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x + 17. Calculate c(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9\/7, -7\/17, 4, 4\/3, 0?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o + 39. Let k be y(-18). Suppose -4 = -k*w + 11, -4*u + 43 = -w. Solve -3 - u = -3*x, v = -x + 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) - (sqrt(4) - (sqrt(32)\/sqrt(2))\/sqrt(4)) - sqrt(4))\/(sqrt(100)\/sqrt(2)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8*-21345\nAnswer: 170760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*z + 8836 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + 13)*50\/(-250).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r + 25 - 51 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77397 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + (0 - -1))*1. Let z = 1972 - 35545\/18. What is the common denominator of 218\/(-20) + (q - -1) and z?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((0 - 3) + 1)*2\/(-2). Suppose -756 = -2*d + x*j, 15*j - 17*j - 1881 = -5*d. Calculate the greatest common divisor of d and 225.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 0.3, 0.059?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (3 + (-9 - -6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/4 and -88\/1029.\nAnswer: 4116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 228\/(-16)*1*56\/42\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1830427569?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thdnonlt. What is prob of sequence nh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(2\/3)*g*g**(9\/5) assuming g is positive.\nAnswer: g**(67\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 6 = -w, -3 = -2*w - 2*x + 9. Suppose 19*q - w = 18*q. Solve q*g + 10 + 2 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 845123 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70414 - -17469. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96 - -142. Let m be i\/8 - 2\/(-8). Suppose 3*h - m = h. Put 0.5, h, -0.4 in decreasing order.\nAnswer: h, 0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138386 to the power of 1\/2, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*g = -84 + 945 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 384 divide 53252352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 3. Let r = 2 - f. Suppose 24 = r*p + 2*p. 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: Let n = -148 - -163. Solve -4*v + f + 20 = -0*v, -3*v + 3*f = -n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 822*d**2 + 555*d + 5512. What is the units digit of v(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38572426 and 3.\nAnswer: -115717278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 50 = -y - 17, 3*y - 69 = -3*o. What is the least common multiple of 18 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80169 (base 11) to base 13.\nAnswer: -4152c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 12:37 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25609, -51216, -76823, -102430?\n\"Answer: -25607*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3179 by 691.\nAnswer: 3179\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + 0*v**2 - 6*v**2 - 3*v**2.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39694282.\nAnswer: 2, 19847141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42273728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 37*k**6\/3 - 2*k**2 + k + 61. Find the second derivative of v(o) wrt o.\nAnswer: 1480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156.428855 - -2.89.\nAnswer: 159.318855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*-2*sqrt(833))**2.\nAnswer: 3333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 4. Sort -1\/8, 2\/7, g in descending order.\nAnswer: g, 2\/7, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 112 - 76. Suppose 10*s - r = 6*s. Solve 6 = 3*g - s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.480049715843 and -135.\nAnswer: -136.480049715843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/1458? (a) -5 (b) -0.8 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*c - 5*j, c + j + 2*j + 8 = 0. Let z = 39 - 35. Solve c + z = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l + 1 = -7*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -6*x + 2. Let n(f) = -f**3 - 6*f**2 - f + 1. Let i be n(-6). Let w(m) = -2 + 1 - m - 4*m + i*m. What is -3*c(o) - 8*w(o)?\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + o**2 + 4. Let h be v(0). Let y = 7 - 3. Let k be 3\/y + (-27)\/(-12). Solve -h*t = 3*q + 13, k*q = 4*q - 5*t - 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w - 15. Let q be l(8). Let n(s) = -4 + 16 - q*s - 16 - 4. Let p(i) = 10*i + 9. Let a = 6 + 0. Calculate a*p(g) + 7*n(g).\nAnswer: -3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -15, 6257, 2 in ascending order.\nAnswer: -15, -2, 2, 6257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzoo when four letters picked without replacement from {o: 7, z: 11, t: 1}?\nAnswer: 77\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sshtk. Give prob of picking 2 s and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3157843 - 4610648\nAnswer: -1452805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 285\/104 + -3843\/520. Calculate the common denominator of -157\/42 and u.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475*q - 7832 + 29222 = -524*q + 286*q for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = u + 4*w - 29, 0 = w + 2. Solve 0 = -u*s - 18 + 54 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 15*r**2 + 8*r + 69. What is m(15)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -53. Let r = 69 - o. Calculate the remainder when r is divided by (-162)\/(-14) - 6\/(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - 47446?\nAnswer: -47454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 212?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by 29.\nAnswer: -64\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.48 + 1.52. Let k = 4 + f. Let t = 0.04002 - k. Round t to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 + -1)*(-116)\/(-928) and 45\/146.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1882*g**2 + 1251*g**2 + 2*g + 9 - 2*g as v*g**2 + k + x*g and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 387 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, x: 9, q: 3}. What is prob of sequence xqxx?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, o: 1, r: 1, j: 1, c: 1}. What is prob of sequence wwoc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10878593 is divided by 50?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*j - 4*j. Let o(v) = 0*v + j*v - 6*v + v. Let k(n) = -5*n. Calculate o(k(c)).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36262296 and 34713?\nAnswer: 688983624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4243*x + 8380*x - 4735*x as h + b*x and give b.\nAnswer: -598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10772 - 8472. Is f a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c**2 - 3*c - 5. Let u be w(8). Suppose 0 = 4*a - u - 149. Calculate the highest common factor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -10 - -6 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, b: 1, s: 5, t: 1, o: 1}. Give prob of sequence bmo.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*h**3 + 22*h**3 + 245*h + 144*h**3 - 245*h.\nAnswer: 268*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**2 + 27 - 2*o**2 + 97*o - 92*o. Let u be y(-17). Suppose 0*m - 4*m = -84. What is the highest common factor of u and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 360450469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 1849*z**6\/280 - 473*z**5\/2 - 773*z**4\/14 - 36*z**3\/7 + 1553*z**2 - 2*z. What is d in h(d) = 0?\nAnswer: -2\/43, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1733944 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -6.4. Let i = -145\/6 - -24. Let w = i + 5\/6. Put w, 0.2, j in ascending order.\nAnswer: 0.2, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c + 2. Calculate p(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/60 and -35\/32.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from hpqhmpmhppppq?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1604 is divided by 414?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65040238.\nAnswer: 2, 32520119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 493*g - 46*g**2 - 2*g**3 + 4*g**3 - 12*g**2 - 495*g in the form d*g**2 + u*g + l + t*g**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 5*o**2 - 4*o - 3. Calculate the remainder when s(6) is divided by (2 + 0 + -1)*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*l = 46*l - 5370. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 less than or equal to -485?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 2*x + 4. Let g be (-1 - (-1)\/(-2))*-2. Give v(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93260058 and 39.\nAnswer: 1212380754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from fttffffff.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-12)\/(-10))\/((-36)\/(-450)) and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -100000000110011?\nAnswer: 100000000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3) + (-152)\/(-12). Suppose -12*n + 67 = -77. Let o = n - i. Solve o = -2*u - 2*u + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-1)*98049\/13524\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j + 3. Let k be b(-2). Let f be (2 + 0)*(-2)\/k. Solve -a - f*a**2 - 3*a**2 + 4*a**2 + 2*a**2 = 0 for a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of m**3\/3 - 3*m**2 - 8*m + 1. Let d be j(6). Let v = -6 - d. What is the remainder when 5 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50840 and 1312.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a + 18. Let i be z(-5). Calculate the highest common factor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12.7 in 3, 15, 0.5, 0.2, 7\/6, -1\/4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven eighths of a hour?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 5 - 2*d**2 + d**2 - 3*d**2. Let o = -95 + 94. Let n be 3\/o + 11 + -2. Let q(t) = -7*t**2 + 2*t + 9. Give n*q(k) - 11*l(k).\nAnswer: 2*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + 27. Let a = r - -48. Suppose -q = 3*b - 42, 2*q - 4*b = -q + a. What is the highest common divisor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -58*(-5 + (-6)\/(-4))?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 465915205?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6\/11 (b) 1\/3 (c) 2 (d) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -2254.\nAnswer: 3\/2254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 2*y)*(y**2 + 4*y - 4*y) - 8*y**3 - 118*y**3 + 9*y**3 to p*y + j*y**2 + m + v*y**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -139*n + 3. Calculate o(1).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 7510 = -3*r + 7487, 0 = 5*b + 20 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j**3 - 156*j + 157*j - 9*j**3 + 17*j**3 + j**2 + 18. Determine z(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13065.\nAnswer: 3, 5, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8106 and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 - 94. Let o(m) = -3*m - 37. Let f be o(n). Solve l - 4 = -f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0.1, 0.3, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12578)\/(-627) - 7 - 182\/14.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*2\/24)\/((-18)\/(-36)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/750960 and 41\/15939?\nAnswer: 189992880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 7:59 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3 + 144780*k**2 = 0. What is k?\nAnswer: 0, 72390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a**(10\/7)\/a)\/a)*a)\/a*a*a**(13\/2)*a*a)\/(a\/(a**(-15)\/a)*a**(-18)) assuming a is positive.\nAnswer: a**(169\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/352 and 19\/462.\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 11:35 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*i - 217*i - 219*i + 643*i - 158 + 67 + 91.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5\/13)\/c)**(-35) assuming c is positive.\nAnswer: c**(630\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 - (7 - -10) - (9 - -3).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -247341, -989379, -2226107, -3957525, -6183633, -8904431, -12119919?\nAnswer: -15830097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4131 + -2304?\nAnswer: -11440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2026353*f**3 - 3618925 wrt f.\nAnswer: 6079059*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one eighths of a decade?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p + 47. Let z = 36 - 43. What is the remainder when ((-3)\/(-2))\/((-2)\/(-172)) is divided by x(z)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n - 6. Let v be (-86)\/(-18) + 10\/45. Determine z(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7343\/48 - 153. Is 1 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167062 is divided by 189?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.068 - -0.068. Sort p, 0, -0.1 in decreasing order.\nAnswer: 0, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/1602 and 113\/180?\nAnswer: 16020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x. Let r(z) = 9*z**2 + 8*z**2 + 3*z**2 - 8*z**2. Determine m(r(s)).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4418302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f = -6*f - 682. Suppose -k - 2*l + 16 = -4*l, -l + f = 3*k. Solve -k = -13*y + 9*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 8*d**2 + 10*d - 10. Let k be w(-6). Solve -2*i - 8 = 2*y, 0 = -k*y + 5*i + 15 - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x - 5 + 3 + 3*x - 6*x + 152*x**2 as s*x + m*x**2 + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 289.2105 centuries?\nAnswer: 347052.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 75553.9 to the nearest 100.\nAnswer: 75600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 7 = -4*a + 16, 6 = -3*a - 4*w. Let b be (3 + a)\/((-3)\/(-114)). Round b to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**5 + 181044*c**4 + 3441048*c**3 - 7787286*c**2 - 3441045*c + 7606242 = 0. Calculate c.\nAnswer: -21, -1, 1, 2, 60367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: be2637 (base 15) to base 8\nAnswer: 42462713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32029, 32030, 32031, 32032?\nAnswer: 32033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/22 + 25\/66. Which is the third biggest value? (a) 0.04 (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1303\/9 + 145. Do 0.07 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 303570918 by -18.\nAnswer: -16865051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6*(-237)\/4)\/((-593)\/1186).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67800631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30.9*-956512.\nAnswer: 29556220.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**3 + 5*d. Let r(l) = -l. Let g(w) = w**2 - 6*w. Let s(o) = -7*g(o) + 42*r(o). Determine x(s(j)).\nAnswer: -42*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/37 or 1?\nAnswer: -12\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74336937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/9 + (-28)\/(-6) + 0. Let y be 0*(-8 + 3)\/x. Suppose -c + 1 = y, s + 5*c - 57 = 154. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -19. Suppose -2*m + 12 = b*k, -k + 0*m + 10 = 4*m. Let y be 1\/(k\/4*2). Solve 2*v = v - y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 229*v**2 - 25*v - 22. Is q(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - 141. Let s = -221 - b. Let o = -49 - s. What is the greatest common factor of 48 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 28 (b) -5\/23 (c) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j. Let v be (-9)\/((-2)\/(3\/(27\/12))). Let l(f) = 7 - 18 - v*f + 10. Calculate -l(y) - 4*n(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*r = -0*r - 24, 2*r - 68 = -5*w. Suppose 21*h - 3 = f + 19*h, -4*h + w = 0. Solve 3*v + t + 9 = 2*v, -f*v - 4*t = 32 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67609815 and 7098.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -178 (base 12) to base 13\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305 = 3*n - 138*n - 1520. Sort -23, n, -11 in decreasing order.\nAnswer: n, -11, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(((-5)\/8)\/(-5)). Let h = k + -13. What are the prime factors of h?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**16*n\/(n\/n**(-3))*(n**(-1\/16))**37 assuming n is positive.\nAnswer: n**(171\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ncccnccicc?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 175062 and -4?\nAnswer: -700248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-220)\/(-16))\/((-2610)\/(-6264))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**(2\/3)*x)**3)**(1\/9))**14)**(-12) assuming x is positive.\nAnswer: x**(-448\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 158 - 148. Suppose -3*j - f = 9, -3*j + 4*j - 4*f = q. Which is the biggest value? (a) j (b) 2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2\/125 of a gram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 226931?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48765614 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 - (76 + -80).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 190*l - 175*l - 180 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -0.1. Let t = -4\/6037 - -12102\/42259. Which is the fourth smallest value? (a) -2\/7 (b) v (c) -0.5 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8, 75, 254, 599, 1164, 2003, 3170?\n\"Answer: 9*m**3 + 2*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - -0.3. Let m = -0.01 - 0.99. Suppose y + 2 = -3*a, a = -4*y + 8 + 6. What is the nearest to a in m, p, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(11)*2*2).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 11:21 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 125261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 148 + -149. Suppose 0 = -0*k - 4*k. Which is smaller: v or k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -r + 3*v, -5*r - 9*v - 36 = -5*v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 100113?\nAnswer: 100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-7) + 3)\/(1299\/3031)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-45)\/(-54))\/(-5))\/(5\/5).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/2124408 and -7\/193128.\nAnswer: 2124408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 + -19.3. Let b = 2190927 - 2190947.00022. Let q = b - l. What is q rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 31*c**2 - 9*c - 5. Calculate the remainder when p(-2) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 3*q**2 - q + 2. Let h = 63 + -153. What is the smallest common multiple of (-1)\/(-5) + h\/(-50) and f(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**2 + 70. Let g(j) = 17*j**2 - 1. Give s(g(m)).\nAnswer: -34*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-396)\/(-154))\/(255\/238)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -49*o**4 + 6814*o**2 + 1200208 wrt o?\nAnswer: -196*o**3 + 13628*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 + 10289634 - 10289634.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1276957373 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*s**3 - 67*s**3 + 2*s - 2*s.\nAnswer: -50*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 139.23 rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/2 - (-4)\/4. Let g = -9 - l. Suppose 20 = k + 8*u - 3*u, -3*u = k - 12. Solve k = -0*r + g*r - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2086388.\nAnswer: 2, 223, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + j - 2. Let p be u(2). What is the common denominator of 34\/5 and p\/(-24) + 0 + -4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 33*c**2. Let d(v) = v + 7*v + 0*v - 9*v + 6*v. Give d(i(g)).\nAnswer: 165*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - h = -5*h + 5, 10 = -5*o + 5*h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8032 + -15498. Let x = 7466.050015 + v. Let q = -0.05 + x. Round q to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*12*3\/6. Let v be -3*1\/(w\/20). Let c = v - 6. Solve 0 = 3*g + c - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 137953 - 26174. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 - z**5 - 2*z**5 + (-2*z**4 + 0*z**2 + 0*z**2)*(0*z + z - 2*z) + z**5 - 2*z**5 + 7*z**5.\nAnswer: 7*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/251 - -249\/502. What is the nearest to 0.6 in -0.2, -2, 1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7307\/3 + 2435. Let u = -143 + 142.6. Which is the third biggest value? (a) u (b) v (c) -3\/5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(216\/(-6)))\/(1\/26)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r + 12. Calculate m(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 118157 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13652 and 68.\nAnswer: 232084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/3917160 and 49\/13206.\nAnswer: 278118360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 u, and 1 o when three letters picked without replacement from {o: 1, u: 2, j: 4, k: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 33 = -w, -y = -62*w + 60*w + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1890910.\nAnswer: 2, 5, 7, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -85, 6607, 5 in decreasing order.\nAnswer: 6607, 5, -1, -5, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from {f: 2, n: 3, o: 3, z: 4, j: 2, s: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31.3 - 32.93. Let f = c + -0.37. What is the closest to -2\/17 in 3\/5, 1, f?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -16*d + 4. Let i(a) = -7*a**3 - a. Let l be i(1). Let h be o(l). Calculate the greatest common divisor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 10*q + 884. Let y be s(-25). Put y, 1, -74 in increasing order.\nAnswer: -74, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**4\/12 + 3*o**2. Let y(k) be the first derivative of 2 - 2*k**2 - k**2 + 1 + 5*k**2. Determine t(y(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77008399?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/1069 + 1065\/2138. Find n such that 1\/6*n**2 + d*n + 1\/3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89.157 - 0.157. Let i = 1452690191.9999827 - 1452690281. Let o = h + i. What is o rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.22 - 0.22. Let k = 213 - 210. What is the smallest value in -5, 1\/5, k, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -447 (base 12) in base 10?\nAnswer: -631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23834021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (21 + 10) - 4.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 688706318?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1205 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/929 and -17\/4.\nAnswer: 3716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -o**2\/2 - 8*o - 21. Calculate p(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/15 and 21\/840*-31*1.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 802 - 9617\/12. What is the common denominator of w and ((-93)\/60 + -3)*2?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -279 by 5869.\nAnswer: -279\/5869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16, -0.4, -1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52576642 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -63*k + 1453. Let z be t(23). Let v(x) = 2*x**2 - 3*x. Let w = -9 + 11. Let g be v(w). Solve -g*p + 0*p + z = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -859, 258, 1365, 2462, 3549?\nAnswer: 4626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 208049911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14428.2691 and 1357.\nAnswer: 15785.2691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 8*b**2 + 10*b - 3. Suppose 2*g = 8 - 24. Let d be i(g). Let y = 62 - d. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 5 - 4 + 7 + 651*o + 5 in the form q*o + f and give q.\nAnswer: 651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - s + 144 = -0*a, 3*s + 32 = a. Let l = 236 + a. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1857651148 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 124 - 126.3. Let z = r - -2.058. What is z rounded to 2 dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 519 + 568. What is the second biggest value in s, -1\/7, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1012*p*x**4 + 7*p*x + 73*x wrt x?\nAnswer: 12144*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(4)\/sqrt(2))**2 + sqrt(12)\/sqrt(150).\nAnswer: sqrt(2)\/5 + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -18, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**5 - 17420*t**4\/3 + 46390*t**3\/3 + 243800*t**2\/3 - 185713*t\/3 - 29020 = 0.\nAnswer: -3, -1\/3, 1, 5, 5804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 357 (b) -0.5 (c) 5 (d) 6\/11 (e) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86 + -45 + 0 + -29?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 5 = -z. Suppose -y = z*y - 6. Calculate the common denominator of -35\/12 and (1\/16)\/(y - 585\/291).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 166 and 10970359?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**2 - 2*z - 2*z**2 + z**3 - 5*z. Let a(x) be the first derivative of -x**2\/2 - 3*x + 8. Let o be a(-9). Give s(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**4 - 2592*p**3 + 15687*p**2 + 23448*p - 36540 = 0. What is p?\nAnswer: -870, -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 17\/16 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8282 and 41779?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1022.665168 to the nearest integer.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b**2 + 13*b + 9. Let r = 61 + -36. Calculate the remainder when o(-8) is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -13*f**2 + 18*f + 5. Let w(v) = 37*v**2 - 53*v - 13. Determine 8*j(a) + 3*w(a).\nAnswer: 7*a**2 - 15*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 763*p*u*v**2*w**3 - 2*p*u*w**2 - p*v**2 - 18*p*v*w**3 - 5*p*w**2 + 5*u*v**2*w**2 + u*w**3 - 101*u*w - v**2*w wrt w?\nAnswer: 4578*p*u*v**2 - 108*p*v + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + y + 17 = -y + 7, -345 = -o + 69*y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -227*m + 234*m. Let s(g) = 4*g. Let x be s(-1). Calculate the remainder when m is divided by -4*2*2\/x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -58*q - 35. Let v be z(-6). Let s = 310 - v. Is s > -33\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - b + 4*b - 58 - b.\nAnswer: b - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 223 in 0.0794, 3, -0.3, -22?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 388*d. Let g(s) = -2*s**2 - 21*s + 479. Give j(g(o)).\nAnswer: -776*o**2 - 8148*o + 185852","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/j**(2\/9)*j))**(-50)\/((j**(2\/33)*j)\/j**2))**26)**(2\/69) assuming j is positive.\nAnswer: j**(205036\/6831)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 1174?\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r - 11. Let j(m) be the second derivative of m**3\/6 + 754*m. Determine j(u(h)).\nAnswer: -2*h - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -2.310509229372.\nAnswer: 2.110509229372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 34*z - 183. What is i(-18)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27480 is divided by 52?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51 - 107. Let t = y + 62. Calculate the remainder when 18 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 3*d**2 + 12*d - 12. Let g(h) = -h**3 + 3*h**2 + 14*h - 14. Let t(i) = -6*g(i) + 7*p(i). Solve t(m) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -23, 31\/4 in descending order.\nAnswer: 31\/4, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(2) + (-1 + sqrt(2) - sqrt(2)) - sqrt(2)) + 5*sqrt(8)\/sqrt(4))**2.\nAnswer: -40*sqrt(2) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h**3 - 36*h**2 - 12*h - 29. Determine s(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -10*s. Let m(f) = -5*f. Let t(k) = -6 + 2 - 9*k + 4. Let i(l) = -11*m(l) + 6*t(l). Give w(i(x)).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77648 is divided by 232.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**5 + 360*q**4 + 6820*q**3 + 11890*q**2 - 6825*q - 12250 = 0.\nAnswer: -35, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -347*l**3 - 2*l + 2. Let f(k) = 1737*k**3 - k**2 + 11*k - 10. Give -2*f(g) - 11*w(g).\nAnswer: 343*g**3 + 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16458 and 2509194909.\nAnswer: 8229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**3 + 5\/2*q**2 + 0 - 1\/20*q**5 + q - 1\/4*q**4. What is d(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/77 + (-1153)\/(-7). Let h be (-4)\/(-22) - 4320\/p. Let i = h + 46. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 3.7. Which is the nearest to -4? (a) 1\/5 (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 5*j - 912. Let y = -32 - -58. Calculate the highest common divisor of j and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(2*u**3 - 2*u**3 + 2*u**3).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -1 - 1\/1. Let p = d + 1. Let i = p + 1. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -57803, 0, -3 in increasing order.\nAnswer: -57803, -4, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 = -78*n - 252 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxxrrxxx. What is prob of picking 2 r and 1 x?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -28*a**2 - 14*a + 18. Let g(b) = -29*b**2 - 15*b + 19. Let w(n) = 5*g(n) - 6*k(n). Is w(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 75 = 7*w. Let m = -23 - w. What is m rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*i - 0*i. Let z be -78 - i\/((-3)\/9). Let y = 140 + z. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2783 + 11386. What are the prime factors of b?\nAnswer: 3, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1385.94 - 1413. Let g = -27 - r. What is the second biggest value in g, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3948*z**2 - 2*z**3 - 1321*z**2 - 1322*z**2 - 1305*z**2.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6 = 3. Suppose -r - m*q = -17, 5*r - 5*q - 3 = 2. Suppose 0 = -k + 18 + r. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9, 14, 27, 54, 101?\n\"Answer: x**3 - 2*x**2 + 4*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1053 and 351.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w + 59. Let u be k(-11). Suppose 2*p + 0*p = 790. Suppose 8*n = u*n + 3*x + p, -4*x - 495 = -5*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -122 + 121.55. Round w to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771705 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qbkyrkq. What is prob of picking 1 y, 1 q, and 2 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**4 + 208689*s**3 + 10887879024*s**2 + 10887670336*s = 0. What is s?\nAnswer: -104344, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**4 - s**3 - s**2 + 2*s**3 - 3*s**4 to the form r + m*s**2 + p*s**3 + f*s + b*s**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnn when three letters picked without replacement from {n: 2, g: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**3\/6 + 70*j + 1. Let c(h) = 0 - 11*h + 0. Calculate x(c(l)).\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2905902 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 - 4*a**2 + 3*a. Let g be -8 + 11\/(88\/80). Determine l(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -679 or -683?\nAnswer: -679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -27*j**5\/20 - 4*j**3 - 17*j. What is the second derivative of b(k) wrt k?\nAnswer: -162*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 528.1 and 0.4.\nAnswer: 211.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z = -2*z - 65 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 121*m - 39081. Give f(323).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/(-2))\/(1*(3 - 4)). Let m be 0\/a - (-2)\/(4\/10). Suppose -m*y = 5, 5*y + 3238 = f + 2*y. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b57 + 4?\nAnswer: -b53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*u**2 - 66*u - 17*u - 1141*u**3 - 1117*u**3 + 18*u + 15 + 2238*u**3 = 0. Calculate u.\nAnswer: 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.5 (b) 52 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7528 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -3)*(2 + -424). Do c and 2525\/6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wweleerwwrww. Give prob of picking 1 l and 3 e.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 6277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8125 + -7173. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 1752786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.61 - -5. Let q = -0.01 - c. What is the second biggest value in 0.4, q, -3\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.413963882 to 3 dps.\nAnswer: -0.414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -31, -2, 33, 4 in decreasing order.\nAnswer: 33, 4, 2, -2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 5 - (-5 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 260472959?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2782*f - 1611 = 21*f + 72702 + 8517 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1521257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130176 and 117?\nAnswer: 1692288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12294 and 16392.\nAnswer: 49176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10112200010 (base 3) in base 4?\nAnswer: 101001300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (22\/121)\/(392\/154). Sort -1\/6, w, -2 in descending order.\nAnswer: w, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 292004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 287.898219 minutes?\nAnswer: 0.02856133125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = m - 4*i, m - 3*i + 1 = 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 7. Let b = 18373 + -18373. What is the third smallest value in b, 0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/6 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, 12, -2, -25 in descending order.\nAnswer: 12, -2, -4, -7, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-five halves of a day?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*p - 3709160 = -189*p. Is 67 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 2*r - 12 - 7 + 5, -3*x = 27*r - 39 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5232191 or 5232100?\nAnswer: 5232191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -283 (c) -634\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**27)**(5\/3)*(k\/(k**(2\/59)*k))**(-3\/2) assuming k is positive.\nAnswer: k**(8269\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0576 + -0.0827. Round n to three decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 4*h**2 + h + 2. Let y(i) = -i. Let n(l) = -2*l - 4. Let a(w) = n(w) - 3*y(w). Suppose -z - 21 = -4*z. Let p be a(z). Determine s(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*j + 8 = 0, 3*l = -l + 4*j - 8. Suppose 4*z + 0*a - l*a = 396, -4*z + 3*a = -396. Does 27 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11086 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*d**4 - 121 + 121)*(-19 + 19*d + 19).\nAnswer: 1026*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 + 2*x**2 - 2*x**2 - 7*x + 2*x**2 - x**2 + 0*x**2 + (0*x + 2*x - 4*x)*(x + 2 - 2) + 1 - 1 - 2*x**2.\nAnswer: -x**2 - 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) 0.02 (c) 4 (d) -9 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1247 by -2.\nAnswer: 1247\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 22. Let i be w\/3 + 3518\/6. Suppose -z + i = -0*u + 3*u, 0 = -4*u + z + 772. Is u 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 146385?\nAnswer: 3, 5, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27926)\/46 + 0\/1. Let d = -607 - v. Let y be 1\/(-2 - (-1 - 0)). Which is the second biggest value? (a) y (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-34)\/(-459) - (10 - 2667\/81). Solve 4*i = -2*x + 12, -5*x - g = -i + 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 35*t**2 + 35*t - 30. Give y(-36).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -15*z - 63. Let w(d) = 9*d + 31. Let v(a) = -5*n(a) - 9*w(a). Let k = -4 + 10. Let u be v(k). Solve u*r = 3*r - 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.9 + -86.1. Let g = 104.7 + m. What is g rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 19 - 1 = 0. Solve 5*j = -p - 0*p - 3, -c*j - 15 = 5*p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12747 - 12751. Which is the smallest value? (a) i (b) 1\/11 (c) 0.041 (d) -7 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d*d**0))**(-12))**(2\/9)*((d\/d**1*d)\/d**5)\/(d\/d**(-4)*d*d\/((d**(2\/15)\/d)\/d)) assuming d is positive.\nAnswer: d**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 145*v**2 - 4*v + 3. Let g be r(1). Suppose 5*h - g = 3*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2601071885?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 89, 32, -111, -382, -823, -1476?\n\"Answer: -7*j**3 - j**2 - 5*j + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13166181*g**2 + 13166055*g**2 - 6*g**3 + 7*g**3.\nAnswer: g**3 - 126*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55917139 is divided by 520.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 12*x**2 + 2*x + 23. What is the tens digit of m(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -15866, 4 in descending order.\nAnswer: 4, -6, -15866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 6. Let v(i) = i + 7. Determine 5*c(t) + 4*v(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -16*z + 165. Let h = 61 - z. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -42 + 0*s**3 + 0*s**4 + 1\/60*s**5 + 0*s - s**2. Let x(i) = 95*i**2. Give x(t(b)).\nAnswer: 95*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -3. Let n = 4 - 9.4. Let j = -5 - n. Sort o, j, 0 in decreasing order.\nAnswer: o, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 527*n**4\/12 - 5*n**3\/2 - n**2. Suppose 5*o = -6*m + 44, 0 = 33*o - 29*o + 2*m - 24. Is d(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + -31 - 7 - (-10 - -1)) + (5 - 7).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*(((sqrt(425) + (sqrt(425)*2 - sqrt(425))*-5 - sqrt(425) - sqrt(425)) + 0)*-3 + 5))**2.\nAnswer: 31320*sqrt(17) + 4958041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9925, -10147, -10365, -10579, -10789, -10995?\nAnswer: -11197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8)\/((((-2)\/(-294))\/1)\/(28668\/(-129006))).\nAnswer: -49\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 14. Suppose l*t - 882 - 789 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 6*a. Solve -9 = 3*u - a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1275 times -224?\nAnswer: 285600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 13. Let r be 2 - d*(42 + 1). Let b be -1 + (32 - 2) + 1. Calculate the highest common factor of r and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*d - 93. Suppose -61 = -4*r + d. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -13. Suppose 5*m - 4*u - 220 = i, u - 4*u = -3*m + 129. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 14*b**2. Let m(p) be the second derivative of p**4\/12 + 34*p. What is m(u(z))?\nAnswer: 196*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 0. Let i be 3\/(-2)*(-12)\/9. Suppose -p*j = -9, -x - i*j + 8 = -2. Solve 0 = 3*o - 6*w + w - 16, x = -3*o + w for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -21*d**2 - 7*d - 7. Let x(c) = -14*c**2 - 5*c - 5. Let n(l) = -7*x(l) + 5*y(l). Let q(k) = k. Determine n(q(w)).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -30 (c) 0.076\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(200) - (-2 + sqrt(200) + -1 - sqrt(200) - sqrt(200))) + 2 + 5)**2.\nAnswer: 200*sqrt(2) + 825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -11 + (-1212)\/(-66) + -2\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, p: 5, i: 3, k: 3}. Give prob of picking 2 i, 1 x, and 1 k.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1120*t - 18514*t**3 - 2 - 2 - 1122*t.\nAnswer: -18514*t**3 - 2*t - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -332090 or 0.1?\nAnswer: -332090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16485100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/15 and -19\/114035.\nAnswer: 342105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = p - 2*p - 15, -38 = 4*p + 2*c. Let f = p + 13. Let t be (-10)\/4*7\/(-35). What is the second biggest value in 1.1, f, t?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.96 - -18. Which is the closest to -1? (a) u (b) 11.5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000705793073 to 6 dps.\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 55 - 3*x**2 + 4*x**2 + 0*x**2 - x**2 + 75.\nAnswer: x**2 + 130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -394*h + 650*h**3 - 2 + 360*h + 28*h to the form t*h**2 + q + z*h**3 + v*h and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 7:57 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 3381.0397 to 0 decimal places.\nAnswer: 3381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/261 or 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/1315 and 107\/40.\nAnswer: 10520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2365 + -501. Let x = 2611 - k. Does 12 divide (-1)\/(-2) - x\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 1) + 13 + -11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002794702 to seven decimal places.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + z + 2. Let v(t) = -t**2 + 1. Let g(a) = a**3 + a**2 - a. Let q be g(1). Let l be v(q). Let r be d(l). Do r and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-34)\/(-119) - (-1478)\/168 and 30\/11.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235716 greater than or equal to 1650010\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -5 (c) -1260.6 (d) 5 (e) 1 (f) -0.06\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -6 + 15. Suppose w - 3*o + 10 = -u, w + 18 = 4*o. Suppose -3 = -w*k + 1. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -889*v - 931*v + 3598*v - 940*v - 938*v. Let b(p) = -36*p. Calculate b(a(m)).\nAnswer: 3600*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-56))\/((-129)\/(-301)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5273737991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a micrometer in nanometers?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 163.7979?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 12139888?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*z - 17*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2481 - -9692. Suppose -5*s - 2081 + x = 0. Suppose -q + 3 = 0, -3*f = -q + 2*q - s. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -80\/3. Let t(l) = l**2 + 4*l + 3. Let m be t(-2). Let k = -264 - -262. Which is the closest to o? (a) k (b) m (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2739*s - 5273 = -2740*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -3) + -28 + (15 - 2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g + g - 2*g. Let k(s) = 9*s**2. What is k(a(r))?\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5101868483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 562604 - 110?\nAnswer: 562464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/246*17*30\/(-20)*16*-1?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 51 (base 10) to base 13\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjrr when four letters picked without replacement from jjrqqjrrrjrjrr?\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 61380*r + 188375220.\nAnswer: 5*(r - 6138)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -6 + -7 - -29?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (-65*(-36)\/(-4212))\/(1 - 34\/24). Find j, given that g*j**2 - 2\/3*j**3 + 2\/3*j - 4\/3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -296768186 by -89.\nAnswer: 3334474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 1 - 70 = 50*y, -3*b + 5*b = y - 56 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156810 and 4?\nAnswer: 313620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -12*s - 273. What is z(-44)?\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**12)\/(i*i**(-9)) assuming i is positive.\nAnswer: i**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/2572172 and 145\/119605998.\nAnswer: 239211996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 128 - 40 = 0. Does t = 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1247839, 1248006, 1248181, 1248370, 1248579, 1248814, 1249081, 1249386?\nAnswer: 1249735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -728*r + 3676*r = -38324 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jffwfjf. What is prob of sequence ff?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 228, 1293, 4184, 9813, 19092, 32933, 52248, 77949?\nAnswer: 110948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 179*l + 4717. Is 35 a factor of z(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -6*z - 2. Let p(k) = 8*k + 3. Let s(n) = -2*p(n) - 3*t(n). Let c(a) = -11*a**2 - 2. What is c(s(m))?\nAnswer: -44*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2131430 (base 5) in base 9?\nAnswer: 55044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -13*g + 300. Let c(w) = 14*w - 174. Does 12 divide c(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/(-10))\/(-1) - -1)*2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 m when two letters picked without replacement from uluulmxulexm.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.16 - -2.16. What is the nearest to -1 in -0.2, c, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(5\/4))\/(i**(-23)\/i)*(i**(-3)*i)**(-22) assuming i is positive.\nAnswer: i**(271\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 (base 9) in base 2?\nAnswer: -1010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5 = f. Suppose 4*g + 2*c + 0*c - 98 = 0, g - f*c = -3. What is the remainder when g is divided by ((-535)\/(-214))\/(5\/24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51564.\nAnswer: 2, 3, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x = -x + 42. Suppose -2*z + 391 + 301 = -5*c, -x*c - 411 = 3*z. Let f = -125 - c. What is the highest common divisor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*v - 666 + 1. Solve 4*i = 39 - v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1777480 minus -1?\nAnswer: -1777479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 = -15*x + 36*x - 32*x for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -6 - 2*g**2 + g**2 - 13*g + 2. What is the units digit of f(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 - 3*x**2 - 2*x - 3. Let o be f(-2). Suppose -2*b + 158 = -4*d, -3*b + o*b + 4*d = 158. What are the prime factors of b?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 10) in base 14?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 278404873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/390*5 - (-4)\/26.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 - 7511?\nAnswer: -74a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 14)*(5*x**2 + 2*x**3 - 5*x**2)*(2*x**2 + 2*x**2 - 2*x**2).\nAnswer: -44*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14775\/90 + (-1)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -72361.\nAnswer: 3\/72361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -183367 divided by -6323\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 0*d - 2\/3*d**3 - 15\/2*d**4 + 0*d**2 + 10. Find the third derivative of l(w) wrt w.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 89218, 356805, 802758, 1427077, 2229762, 3210813?\n\"Answer: 89183*n**2 + 38*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -284, -1907, -6256, -14675, -28508?\nAnswer: -49099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f. Let j(r) be the first derivative of 12*r**2 - 9*r**2 + r + 198 + 3*r - 4*r. What is o(j(m))?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(6\/(-2 - 4)). Suppose -4*z + c = -2, -3*z = -4*u + 423. What is the remainder when u is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2518, 2, 31 in decreasing order.\nAnswer: 31, 2, -2518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 18*h + 83*h + 2 + (-3*h - h + h)*(-4 + 0 + 3).\nAnswer: 68*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 427 + -283. Calculate the remainder when r is divided by 52.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**3 + 390*m**2 - 1156*m + 1656. What is t(127)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 277 - 464. Let p = q - -106. Let v = p + 80.961. Round v to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -257 - -19?\nAnswer: -23e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2160 and 5680.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 108 - 80. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -6, -0.5, -1, 1 in ascending order.\nAnswer: -6, -1, -0.5, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -588699 divided by 1282?\nAnswer: -588699\/1282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*v + 8*v - 10737 = 0, v + 16148 = 3*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11551 - -2550404?\nAnswer: 2534413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9529 a factor of 288728700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q + 9. Let s(l) = -2*l**2 - 6*l - 3. Let t be s(-3). Let h be (t + 2)*0\/4. Let f be a(h). What is the highest common divisor of 81 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 321*m**2 - 18*m + 2. Let b(q) = -3*q. What is s(b(l))?\nAnswer: 2889*l**2 + 54*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41 by 330443.\nAnswer: -41\/330443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 40 = -5*s, 5*f + 8 = s - 24. What is the greatest common factor of 8 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1875, 1889, 1909, 1935, 1967, 2005?\nAnswer: 2049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1412 and 1.2.\nAnswer: -1694.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -242*x**2 + 221*x**2 - 192*x**2 + (-x**2 - 3 + 3)*(26 + 35 - 14).\nAnswer: -260*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 4*t**2 - t - 19. Let v be u(0). Which is the second smallest value? (a) v (b) -1\/2 (c) -2\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6634 - -1?\nAnswer: 6635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 30040?\nAnswer: 60080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + g**2 + 7*g**3 + 4 - 8 + (-7*g**2 + 10*g**2 + 4*g**2)*(0*g - 2*g + 0*g))*(-2 + 1 - 1).\nAnswer: 14*g**3 - 2*g**2 - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4761940 is divided by 340138.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**2 - 7*g**2 + 4*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-685*z**2 - 6287*z + 6287*z - 2 + 2)*(18 - 10 - 13)*(-3*z**2 + 0*z**2 + 5*z**2) to the form j*z**3 + g*z + v*z**4 + w + p*z**2 and give v.\nAnswer: 6850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubuqtfqn. What is prob of picking 1 u and 1 n?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 261252 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*p - 4*u, u + 50 = 4*p - 0*u. Solve 3*z = -z + p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11138307?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 44 - 2?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87*r**2 - 153*r + 1 - 105963*r**5 - 4 + 105960*r**5 wrt r.\nAnswer: -60*r**3 - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d - 16. Let b be j(9). Suppose 7*p = b*p + 5. Solve -g + 0 = p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -331*-57\nAnswer: 18867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -412, 151, 690, 1193, 1648?\n\"Answer: -2*j**3 + 577*j - 987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2934 and 978?\nAnswer: 2934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 6) to base 14.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8871121\/8 - 1107492. Let z = -1400 + l. Calculate the common denominator of z and 75\/28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -25. Let g(m) be the first derivative of -2 + 0*m**2 + 0*m**4 - 3*m + 3\/5*m**5 + 0*m**l. Differentiate g(u) with respect to u.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2146.94936 - 0.05064. Let q = v + 2147.000919. Round q to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*r**5 + 6*r**4 + 2699*r**2.\nAnswer: -2520*r**2 + 144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1194.8112 seconds in hours?\nAnswer: 0.331892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 1 + 5 - 1)*(-4*c**2 + 17*c**2 + c**2) - 44*c**3 - 57*c**3 + 69*c**3.\nAnswer: -46*c**3 + 42*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/13 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 240.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -51135, -51137, -51139?\n\"Answer: -2*u - 51133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1bf8b - -8?\nAnswer: -1bf83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - r - 8. Let n = -8 - -5. Let a be o(n). Let c = a + 53. What is the greatest common divisor of 312 and c?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 393 - 389. Suppose 0 + 0*c**2 + 4\/5*c**w + 0*c + 2\/5*c**5 + 2\/5*c**3 = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-350)\/(-250))\/(16\/(-5) + 2).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 1951?\nAnswer: 1951.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -539, -222, 91, 400, 705?\n\"Answer: -2*t**2 + 323*t - 860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 162.67537846 - 164.01538. Let t = z - -1.34. What is t rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3141 by -91.\nAnswer: 3141\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 + 6\/(-3) + 0. Let r be (-81)\/12 + 2\/a. What is the units digit of (r + 2)*(-24)\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 10, 150 in decreasing order.\nAnswer: 150, 10, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + -5 - 1*(sqrt(2) - sqrt(50)))*-6)**2*2.\nAnswer: -5040*sqrt(2) + 8856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1162 to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.67 - -0.07. Let f = -0.2 - t. Let q be (-4)\/(-6)*(-2)\/(-4). Which is the nearest to 2? (a) q (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2080 + -1243. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5897300 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156026 - 156025 = 5*s - 4*h, s = 2*h - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + a**2 + a. Let k be y(0). Suppose 2*m + 2 = -k*m, 17 = h + 4*m. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*f - 275*f = 1256 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.96795 centuries to decades.\nAnswer: 679.6795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 5) in base 14?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 8 - (20 - (-4 + -21 + 161))?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17275818 divided by 3?\nAnswer: -5758606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.032239 to three dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*w - 12 = 166*w. Solve w = 3*m - 4*f + 8, m + f = 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 97 + 11 = 0. Does 8 divide (12\/10)\/(o\/(-400))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -534\/5 equal to -107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m - 5*m + 11*m + (-m - 4 + 4)*(-12 - 2 + 0) - m + 0*m + 0*m.\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * -0.12.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.3, -1\/5, -5, -29?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**4 + 452*d**3\/3 + 1387*d**2\/3 + 1132*d\/3 + 188\/3 = 0. Calculate d.\nAnswer: -47, -2, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dryddyyycyd. What is prob of picking 3 d and 1 y?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 divided by 148?\nAnswer: 121\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-12))\/((-1)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25410 and 389550.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 71*z - 87*z. Let r(h) be the first derivative of 0*h**3 + 11\/5*h**5 - z - h + 0*h**4 + 0*h**2. Differentiate r(n) wrt n.\nAnswer: 44*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2. Let l(f) = -2*f**2 + 49. Let b(h) = l(h) - 6*o(h). Let s(x) = 36*x - 2. Determine b(s(d)).\nAnswer: -2592*d**2 + 288*d + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2263 a factor of 142768184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 24. Let u(m) = 2*m**2 + 15*m + 27. Let p be u(-5). Put 14, -1, p, g in decreasing order.\nAnswer: 14, p, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1219, 1208, 1181, 1132, 1055, 944?\nAnswer: 793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2890 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*2\/(-6) + 1. Suppose -140 = -t*v - 2*v. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.2, -0.2, -12\/47, -0.07, 1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -100100011101?\nAnswer: -100100011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**2 - 67254*f - 18782816 = 0.\nAnswer: -277, 33904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*3*5\/(-90). Let p = 1.4 + 0.6. Let i = -3 + p. Which is the closest to 1? (a) i (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35\/52 + -51\/13. Find the common denominator of -95\/596 and u.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 143*o + 1314 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 645 a factor of 99468484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -109.4802 to zero decimal places.\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + 95. Let f = -121.024 + b. Which is smaller: 1\/4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 2. Suppose -4*q - 4*a + 8 = 0, 2*q + q - 2*a = -4. Solve q = -o + n*o - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 232\/663 - 10\/51. Let c = 140 + -129.9. Let y = c + -10. What is the smallest value in r, -0.1, -2\/17, y?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57.1 + 11.9. Let v = 6 + u. Let c = v + -75.083. Round c to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(1\/2))**(18\/5))**(-2\/91) assuming l is positive.\nAnswer: l**(-18\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 4*r**2 + 56*r + 103. What is q(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-36)*(-12)\/(-40)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 56\/224 - (1 - 3\/4). Solve 14*u + 26*u**4 + 6*u**5 + c + 2 + 97*u**3 + 36*u**2 - 53*u**3 = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -541 - -554?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -5*p + s, 3*s = 2*p - 2 + 18. Let a be p\/(-20) - 14526\/(-8). Let g = a + -2606. Round g to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43102 or -0.46?\nAnswer: 43102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2\/9 (b) -0.1 (c) -5 (d) 3 (e) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 350310, 350253, 350160, 350031?\n\"Answer: -18*t**2 - 3*t + 350331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/7 (b) 23\/2 (c) 1\/23 (d) -8 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 140 = j, -j + 3*b + 33 + 122 = 0. What is the second derivative of 148*w + 33 - 93*w**2 - 17 - j*w wrt w?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 4. Let u be p(4). Calculate the common denominator of (91\/(-3276))\/((-1)\/159) and (u + (-2)\/32)*-142.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u*u**5)\/u*u)*u**(-5))\/(u**3)**(-5\/3))**(4\/19))**36 assuming u is positive.\nAnswer: u**(-720\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 - 4 - 9*w**3 - w + 9*w + 4*w**4.\nAnswer: 4*(w - 1)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 + 0*y**4 - y**4 + (y**3 + 3*y**3 - y**3)*(4*y - 2*y - 3*y).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a day?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -2, 0.2165, 0.1, -6?\nAnswer: 0.2165","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - d + 4 + 3 + (-15 - 9 - 6)*(3*d + d - 3*d) + (3 - 5 + 0)*(0*d + 6*d - 4*d) - 3*d + 3*d + 2*d as k + z*d and give z.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15, -1, 14162, -4, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 6:49 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 21 + (-21 - -13 - -13) + 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68662790.\nAnswer: 2, 5, 7, 980897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*b + 26. Let p(g) = -2*g - 9*g**2 + 3*g + 4*g + g**3 + g**b. Let m be (2*-3)\/(-2) + 4. Give p(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*t + 10 = -12, -z - t - 6 = 0. Let v be -1 + (z\/4 - 9998). What is v rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 0*i - 3\/20*i**5 + 0*i**2 - 4 + 0*i**3 + 3\/16*i**4. Solve a(x) = 0 for x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 9 + 5 + 25*d + 11 + 3 to t*d + w and give t.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 668253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 710*t**2 + 6*t + 4. List the prime factors of g(-1).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.19 and -0.282.\nAnswer: 0.05358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5294 and -0.2.\nAnswer: 0.3294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**2 - 69*t - 223. Let m be l(-13). Let r(b) = 2*b + 14. Give r(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 139 (c) 0.2 (d) -0.5 (e) 2\/2833\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**2 + 1\/2*q**3 - q + 0. Let f(j) be the third derivative of 7*j**4\/24 + 2*j**3\/3 - 2*j**2. Calculate 2*f(h) - 5*i(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*t + 6 + 20, -2*t + 46 = 5*w. Let z be ((-3)\/(-3))\/(1\/w). What is the highest common factor of z and 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 29 = a. Is -76\/7 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(425)*-3 - (-5*3*sqrt(119) - sqrt(119))\/sqrt(7))*6.\nAnswer: 24 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 6 - 3*f - 2*f + 2*f**2 - 3*f**2. Let j be r(-5). Let x(z) = z**3 - 2*z**2 + 2*z + 2. Let t be x(2). What is the greatest common divisor of j and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 988*a - 55335. Give p(56).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9190*0.51\nAnswer: 4686.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20019577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1*(-2 - 1) + 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*u = -6, 7*v + u = 2*v + 13. Suppose -4*p = 5*c - 191, 2*c - 138 = -p - 2*p. Suppose 0 = v*n - p - 18. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -691*v - v - 5464 = -24840. Let f be (3\/(-6))\/(1\/(-1792)). Calculate the highest common divisor of v and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -1.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 80262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 346*z**3 + 8 + 15*z**2 + 2*z - 9*z**2 + 6 - 7*z**2 in the form f*z**2 + p*z**3 + k*z + u and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1224*a + 6132. Determine q(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 15) to base 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7972 is divided by 796.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvcvyuthuhyv. What is prob of sequence chu?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 8\/79, 19, 3\/2, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 6347209*a + 6347207*a = -58, -4*n + 4*a - 96 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 15 = -2*g, 1082 - 1079 = 2*g - y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.34 - -0.245. What is o rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10004, -20021, -30036, -40049, -50060, -60069?\nAnswer: -70076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by (20\/(-30) - -2)*75?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -141*d**6*z + 102*d**2*z + 6*d*z wrt d.\nAnswer: -16920*d**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 - -1. Let w(j) = 2*j + 4. Let d be w(-3). Which is the third smallest value? (a) 2\/5 (b) u (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 6 + -3 + -1. Suppose x = -2*r + 11. Suppose -2*b + b = -r. Solve b*d - 10 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = d + d - 2. Let p(o) = o**3 + 8*o**2 + 8. Let s be p(-8). What is the highest common factor of s and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*b + f, 2*f = -0*b + 2*b + 4. Suppose 6*q - 3*q = 9. Suppose 269 = 3*i + i + b*p, 0 = -q*i + 2*p + 189. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -0.24182614.\nAnswer: 0.96730456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l - 70. Does 4 divide c(30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 97 + -39. What are the prime factors of (-6 + 4)\/((-4)\/k)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*p - 2*y - 35 = 0, -2*p = 5*y - 7. Let r be 20\/6 - (-3)\/p. What is the units digit of ((-18)\/r)\/((-2)\/3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5968 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m - 21. Let r be s(12). Suppose 5*z + r*z = -32. Let t be (-1)\/(-2)*(4 + 8\/z). Which is smaller: t or 1\/64?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3146556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**5\/20 + 11*j**4\/12 + 2*j**3 - j**2\/2 + 22*j. Let g = 13 + -22. Is z(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7\/2)\/(10\/120) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -538844 divided by -134711\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 43\/(2\/(-8)*2). Do -86 and x have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6 = 5. Solve 0 = 5*i + 9 + c for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -h + 5*w - w, -4*h + 3*w = 17. Which is the second biggest value? (a) 0.5 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 44 + (-1 + 1 - -1). Let g be 2\/(-2) - 12\/(-3). Let x be -2 - ((-2 - 21) + g). Calculate the highest common factor of b and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 186*g**2 + 10*g - 17. Calculate the remainder when l(2) is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 1 (c) -35\/6 (d) -0.06248 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 8 = -7*x. Find the third derivative of -3*q**6 + x*q**2 + 2*q**2 - q**2 wrt q.\nAnswer: -360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 35. Let p be (-3)\/(-3) + -2 - l. Is 326\/22 - 4\/p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5125126 - 76?\nAnswer: 5125050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(68) - -2*sqrt(68)*2 - (sqrt(68) - (2*sqrt(68)*6 + sqrt(68)))))\/((sqrt(400) + 1*sqrt(400))*-4*1).\nAnswer: -17*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*x = -364*x + 8166 + 12624. Calculate the remainder when 1169 is divided by x.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 + 3*w**2 + 9385*w + 21*w**2 + 64*w**2.\nAnswer: 2*w**3 + 88*w**2 + 9385*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91813 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 711*m**4 - 14*m**3 + 3715*m**2 wrt m.\nAnswer: 17064*m - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 13*g - 34. Let u be c(3). Let o = 0.04 + 2.96. Let i = 4 + -2. Put o, i, u in increasing order.\nAnswer: i, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71896*v**5 + 1239*v**2 wrt v?\nAnswer: -4313760*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/3)*b*b*b)\/b)**(-9)\/(b*b\/(b\/(b*b**(4\/3))*b)*b*b**(-6)\/b))**(-1\/26) assuming b is positive.\nAnswer: b**(17\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3755*s**3 + 8*s**2 - 10*s - 12. Determine t(-1).\nAnswer: 3761","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -24, -87, -226, -471, -852, -1399?\nAnswer: -2142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10161, 10091, 10021, 9951, 9881, 9811?\nAnswer: 9741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/21 (b) 0.4 (c) 0 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btxtuuububtbxbbuubuu. Give prob of sequence ut.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -98441*f + 98439*f - 32 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 4*c**2)*(-1 - 2 - 1)*(-2 - 2*c + 2).\nAnswer: 32*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 + 2*o - 2. Let m be g(-2). Let i be (32 - 17) + 0\/m. Let l be 3\/(-1)*-1*1. Solve i = 3*t + l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + 0. Suppose -m = -u + 4*t + 13, -4*u = -2*t - 24. Solve 4*s + 3*c = 4, 3*c = 4*c + u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 65? (a) 254 (b) -3\/4 (c) -464\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2410.979 + 2410. Round f to two dps.\nAnswer: -0.98","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119844019?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5232 divided by 6\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2497 + 2501 + 100*u + 129*u. Let a be k(-3). Let b = -130 - a. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times -0.1288\nAnswer: 0.007728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -38270 - -34\nAnswer: -38236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 11*r + 10. Let d be p(21). Let o = 31 + d. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -867 divided by 5?\nAnswer: -867\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + -4 - -3) + -4 - 9 - -1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02085483 - 2.13076183. Let w = 2.11 + z. What is w rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 67\/194 or 0?\nAnswer: 67\/194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(0 + 2)*22. Let d be (-2)\/n + (-255)\/495. Are 4 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 36, -1.3, -0.09?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 100 and 22306\/225 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1646 - 50?\nAnswer: 1586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - x - 1. Let y be s(0). Let a(p) = -p**3. Let q(i) = 9*i**3 - 2*i + 2. Determine y*q(k) - 6*a(k).\nAnswer: -3*k**3 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -7. Let r(o) = 0*o**2 - 4*o**2 + 7*o + 5*o**2 - 8. Let i be r(-8). Solve 0 = -i*d + w*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 126219, 126052, 125767, 125358, 124819, 124144?\n\"Answer: -t**3 - 53*t**2 - t + 126274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -11*f**5\/20 + f**4\/12 - f**3\/6 - 198*f**2 + 1. Determine g(1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297351413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 1368, 0.1092?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 2 + 3 + -38 + (13 - (-32 - -2))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(45)\/sqrt(36) + sqrt(5))*4)**2 + 1 + ((sqrt(1800) - 3*sqrt(1800))\/(1*sqrt(810)))**2.\nAnswer: 192*sqrt(5) + 4013\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 1291824.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 7209?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(((-44)\/72)\/11). Let q = -13 - l. Suppose 4*i = 5*t - 51 - 33, -5*t + 5*i + 80 = 0. What is the greatest common factor of q and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 - -76. Solve 15 = -o*w - 0*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2 + 0*i**2 + 10*i**2 - 3*i - 8*i**2. Calculate the remainder when 152 is divided by x(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -45?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 415 and 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 4*l + 6. Suppose -7*m = 3 - l. Let y be ((-1)\/17)\/((-3)\/9). Is m less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 3, 4, -445, -4 in decreasing order.\nAnswer: 4, 3, -1, -3, -4, -445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14309 less than -1807.6?\nAnswer: 12501.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5802, 11750, 17698, 23646, 29594, 35542?\nAnswer: 41490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**3 - 2*s**2 - 2. Let a(v) = -1 - v**2 - 101419*v**3 - v**2 + 50710*v**3 + 50707*v**3. Give 5*a(t) - 6*x(t).\nAnswer: 2*t**3 + 2*t**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/9 + 350*w**2\/9 - 2*w\/9 - 350\/9.\nAnswer: 2*(w - 1)*(w + 1)*(w + 175)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.03 (b) -0.068 (c) 4\/5 (d) 8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -135.9\nAnswer: -67.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2769 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 6484*i + 19488.\nAnswer: -4*(i - 3)*(i + 1624)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2928368257?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2\/3 (c) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242124 divided by -6.\nAnswer: 40354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 23 = x, 3*k = x - 0*k + 25. Let q be (-209)\/(-4) + (-2)\/8. Let m = q + x. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -8*y. Let u = -285 + 285. Let i(k) be the third derivative of 0*k**3 + u - 4*k**2 + 0*k + 1\/60*k**5 + 0*k**4. Give h(i(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 31*b - 3. Let g(x) = -16*x + 2. Suppose -243 - 281 = -131*w. Determine w*r(k) + 7*g(k).\nAnswer: 12*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2075408*x**2 - 2440874*x.\nAnswer: -4150816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -491, -995, -1499, -2003, -2507, -3011?\nAnswer: -3515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 875937 and -7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 + -145\/3. Which is the nearest to -0.1? (a) h (b) 0.5 (c) 4 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 0 + -1 + (-66 - -108)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 33. Which is the second smallest value? (a) -0.3 (b) i (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4)*p\/p**(-4)*p assuming p is positive.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 - 6*l**2 + 2168786*l**3 + 5*l**2.\nAnswer: 2168786*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1366935423992 from -0.4.\nAnswer: -1366935423992.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 33*a**3 + 1622*a**2 + 118*a - 8. Let b be v(-49). What is the greatest common factor of b and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1.7. Let h = 0.5 + o. Is 1\/4 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3161327*y + 3161327*y + 4*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 12*k + 8 = 0. Suppose -2*b = -5*v + 12, v - 5*b + k = -8. Suppose 3*y + 142 = 2*p, p - 179 = -2*p - v*y. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19946 or 0.215?\nAnswer: -19946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48268 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*l*x**2 + 4243249*l*x - 5*l - 2*x**3 + 4556754 wrt x?\nAnswer: -24*l*x + 4243249*l - 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1558*c**6*p - 575*c**4*p - 3*c**2*p - 188*c**2 + 6*c*p + 8 wrt c.\nAnswer: 186960*c**3*p - 13800*c*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-33)*h**(-3\/19)\/h assuming h is positive.\nAnswer: h**(-649\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10778*x**2 + 2*x - 27961.\nAnswer: 21556*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-6)*(-7 - -1). Suppose -26 = o*w - 8*w - 4*a, -3*a + 4 = -4*w. Let t(h) = h**2 + 26*h - 72. Let x be t(-29). Solve -5*n = -w*n + x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-26))\/((-534)\/13884)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by (-6 + 7)*-6 + 34?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96662174 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (40\/(-14))\/((-12)\/210). Let j be 46\/10 + 20\/r. Suppose l + 3*y + 96 = 4*l, j*l - 172 = -y. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12194705 is divided by 1354938?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3303.077 tonnes?\nAnswer: 3303077000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1698*t + 7089 = -2115*t for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 - 112*r**2 - 2*r - 104. Let i be u(-56). Suppose -46975 - 110745 = -i*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2454 = b - 6*x + 2486, -3*b - 4*x + 14 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 11*g**3\/6 + 2*g**2 + g. Let y(j) = 61*j + 3. Let u(m) = 29*m + 2. Let n(b) = -9*u(b) + 4*y(b). Calculate -5*n(s) - 8*r(s).\nAnswer: -3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-134)\/130 + 1)*-40*(-18)\/144. Which is the nearest to -1\/4? (a) y (b) 6\/11 (c) -1 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/78329 + -13237489\/4386424. Let a = 22\/7 + n. Find the common denominator of a and (-34)\/(-168) - (-10)\/(-35).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k - 5. Let j(g) = 2*g**3 + 4*g**2 - 124*g - 9. Let t be j(7). Let c(l) be the first derivative of 2*l**2 + 8*l + 1. What is t*c(m) + 8*u(m)?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*h**3\/7 + 477*h**2\/7 + 792*h\/7 - 228\/7.\nAnswer: 3*(h + 2)*(h + 38)*(4*h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -255\/16?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + 0 + 0 + 0. Suppose s*c - 80 = -3*h, -5*c + 48 = -2*c - 4*h. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535523 to the power of 1\/2, to the nearest integer?\nAnswer: 1239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 + t - t + (5 + 3 + 35*t - 6)*(-2*t + 3*t + 0*t).\nAnswer: 37*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w**2 + 47*w + 24. What is v(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 194.3807 rounded to 1 decimal place?\nAnswer: 194.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(468)*3)**2 + 4 - (5 + 5*((sqrt(468)*1 + -3)**2 + sqrt(468))).\nAnswer: 150*sqrt(13) + 1826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.109*-0.21\nAnswer: -0.02289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/35 + 2\/(-7). Suppose -3*s - 9 = 0, 4*i + p*i + s - 13 = 0. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-540)\/(-450))\/(((-3)\/(-7))\/((-10)\/(-7))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79095\/2 - 39543. Let b(c) be the second derivative of -1\/4*c**4 + 2*c**3 + 0 - p*c**2 - 30*c. Determine v, given that b(v) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3502 is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5 = -3*r, x = -2*r + 5*r - 8. Is 788 - 3 - -3 - x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 145, 233, 305, 355, 377, 365, 313, 215?\n\"Answer: -v**3 - 2*v**2 + 101*v + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -128? (a) 5 (b) 3\/2 (c) -0.5 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 11:22 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwallwwlwawlw. What is prob of sequence llll?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 44916.\nAnswer: 2245.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -310\/473 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*d - 32, 6*t = d + 3*t - 14. Suppose d*l - 26 = -3*y, -2*l = 3*l + 4*y - 28. Let p(g) = g - 1. Let k(h) = 4. Give l*p(q) + k(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23336 and 296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8840659 months in millennia?\nAnswer: 0.000240338825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2013805219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 420 and 3000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -105*(-2)\/(-27) - -8. Sort -4\/9, -2, -8, i in ascending order.\nAnswer: -8, -2, -4\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*1*sqrt(384))\/(sqrt(32)*3*-5).\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -96*g + 1259. Determine w(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**6\/40 - s**5\/5 - 5*s**4\/8 - s**3 - 10*s**2. Determine v, given that u(v) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -104 and -13063.63?\nAnswer: 1358617.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1919231 is divided by 2856.\nAnswer: 2855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from meeummeeuummmmue. What is prob of picking 3 u?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -15*l + 4. Let h(y) = 4*y. What is -4*h(r) + k(r)?\nAnswer: -31*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 250 + 18 = -2*n, 0 = n + 2*q - 117. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, b: 1, l: 2, h: 1, s: 6, t: 2}. What is prob of picking 1 g, 1 s, and 2 t?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 8*h + 3 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 10:26 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417332169.\nAnswer: 3, 19, 373, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 1635*s**2 - 1640*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1989 or -32\/23?\nAnswer: -32\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i + 0*i + 426 + 7 + 0*i - 46 to the form v + u*i and give v.\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x - 47 - 25 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 624\/(-1976) - ((-26117)\/2261 + 11)\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 4*v - 27 + 31, -22 = -3*p - 5*v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 2*w - 2*w - 0*d - 2*d - 7, -17*w + 36 = -4*d + 7*d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-32))\/((-48)\/5120).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/9108438 and 79\/6072292?\nAnswer: 18216876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 4:31 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - -7) + -11 + 0 + 4. What are the prime factors of 14\/56 + (-2415)\/w?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*j = 17*j - 126 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(0 - l**2 + 0) - l**2 + 2 - 2 + (361*l**2 + 643*l**2 - 354*l**2)*(1 + 1 - 1).\nAnswer: 647*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (8 + (-2 - 3))) + 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7327 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.0161872 - -0.0161872. Let t = -0.2 + 0.1. Let n = -0.2 + 1.2. Which is the nearest to 0.1? (a) n (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -12203333303011?\nAnswer: -12203333303021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.604 + 0.404. Let q = -0.013 - -0.113. Which is the closest to q? (a) 3 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from savvtsvkktvsasta. What is prob of picking 1 v, 1 a, and 2 k?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 461 - 6*p**3 + p + 190*p**3 - 156 - 156 - 9*p**2 - 156.\nAnswer: 184*p**3 - 9*p**2 + p - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.4 - 2.7. Let z = -2 + 0. Let g = z - -2.5. Put g, u, -0.1 in increasing order.\nAnswer: u, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 3:02 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11042213 (base 5) in base 16?\nAnswer: 1792e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**6*m))\/(m**(-1\/4)\/m*m))\/(m*m\/(m**(2\/9)\/m)*m)**(-1\/11)*(m**(2\/5)*m*m*m**(-8)\/m)\/((m*m**3\/m*m*m)\/m*m*m\/(m**(-2\/7)\/m*m)) assuming m is positive.\nAnswer: m**(-253531\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 divided by -87.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 406.417 - -0.583. Let j = -385.3 + v. Round j to 0 decimal places.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, 3, 1.\nAnswer: 1, 3, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -97930560 to the nearest one million.\nAnswer: -98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/9 - 1652*r**2\/3 - 3305*r\/3 - 4958\/9.\nAnswer: (r - 4958)*(r + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -1 + 5*q - 2*q - 2*q. Let l = 14 + -12. Let y be -1 - ((-8 - -10) + l*-1). Determine v(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 2*u**6\/15 + u**4\/4 - 27*u**2. Find the second derivative of z(r) wrt r.\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + -1)*(2 - 3)\/4 + 12192 + -12183.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 4 = 20*j. Suppose j = 4*k + 5*v - 614, 5*k + v = 5*v + 788. Let w = k - 33. List the prime factors of w.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21335680?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84 + -78 - -19 - (29 + 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 522117 greater than 2610579\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 987752162 to the power of 1\/3, to the nearest integer?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -20, -1\/2, -0.13, -2, -194 in decreasing order.\nAnswer: 4, -0.13, -1\/2, -2, -20, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*b**4 + 3*b**2 - b - 274 + 133 + 141 to the form t*b**3 + j*b + r + p*b**4 + n*b**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 0.51 (c) -3\/7 (d) 1.2 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -94, -115, -156, -223, -322?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 29 - 6 = 0. Suppose -1 + l = 3*d. Suppose -d*q - q = -45. What is the remainder when q is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 plus -0.3?\nAnswer: 182.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c - 1. Let x be a(-4). Suppose 3*b = 4*t - x, 2*b + 2*t + 15 = -13. Let r be (-60)\/b*3\/1. Solve 8 = 3*w + r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -1. Suppose -2*g = -s + 5*s - 6, 0 = k*s + 5*g + 17. What is the smallest common multiple of 26 and s?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -225, -449, -673?\n\"Answer: -224*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40 + 255?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1746862979 less than -317910?\nAnswer: 1746545069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 20*o + 5*u = -85, 4*u = -2*o + 36. What is the fourth biggest value in -0.5, o, 3\/8, 0.2, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2044.441 + -2055.9. Let g = r + 11.4. What is g rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + (sqrt(192) - (sqrt(192) + sqrt(192)*1 + -3)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -33358124 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6 + -1 + 5). Let u(w) = -16*w**2 - 9*w. Let k(m) = -8*m**2 - 5*m. Let o(t) = s*u(t) - 5*k(t). Find the second derivative of o(h) wrt h.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3, -111, -291, -543, -867?\n\"Answer: -36*t**2 + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 - -9.06. Let t = r + -9. Let z be 6 - (-17)\/((-17)\/5). What is the closest to z in t, -3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(sqrt(3)*-5*-5))\/(sqrt(56)\/((sqrt(128) - sqrt(8))*5)).\nAnswer: 3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(-11)\/(-44) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 - r + 2. Let p(c) = -4*c**2 - 2*c - 16. What is -p(i) + 3*w(i)?\nAnswer: 10*i**2 - i + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 21*v - 101. Let q be n(10). Solve -4*h - q = -17 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -321*p**2 + 2*p. Let m(k) = 2*k - 38. Calculate v(m(t)).\nAnswer: -1284*t**2 + 48796*t - 463600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27.98 - -0.02. Let p = 28.00011 - b. Round p to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 10*i**2 + 18*i - 8. Let m be x(-4). Let v(u) = u**3 - 16*u**2 + 24. Let o be v(m). Suppose 19*a + 495 = o*a. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 3:30 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.6 (b) 2 (c) 3\/11 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2058 + -5?\nAnswer: -2064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112 minus 76.32?\nAnswer: -1188.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o - 19 - 21 - 14 + 49. Let u(j) = j**2 + 8*j + 7. Let w be u(-7). Let m be t(w). What is the closest to 2\/3 in 1, 0.3, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1449a6 (base 11) in base 3?\nAnswer: -102111012201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*k + 4. Let i(z) = -z**3 - 2*z**2 + 5*z - 1. List the prime factors of i(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (6 + -4) - -13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140 (base 5) to base 14.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, 5, -3, 4 in increasing order.\nAnswer: -84, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qggq when four letters picked without replacement from {q: 3, g: 8}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*f + 8*f. Suppose -32 = -4*k + f*u, -3*k + 2*u = -0*k - 17. Let h(m) = -3*m**2 - m**2 + k*m**3 + 2*m + 2*m**2 - 25 + 24. What is h(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -28*l. Let n(k) = -7154*k**2. What is z(n(m))?\nAnswer: 200312*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17314 by -165.\nAnswer: -1574\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/6*19\/(-57)*(-2 + -4). Let g(u) be the first derivative of 1\/2*u**2 + 17 - c*u. Determine g(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 10*s**3 - 5*s**3 - 7*s**3.\nAnswer: -2*s**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-615)\/(-20) + (-1)\/(-4). Let q = 32 - x. Let -1\/4*o**2 + 2*o - q - 5\/4*o**3 + 1\/4*o**4 + 1\/4*o**5 = 0. What is o?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164340 to the power of 1\/2, to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16082?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 - -0.845. Let s = t + 5.155. Let z = s + -5. Which is the biggest value? (a) z (b) 2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64192639?\nAnswer: 7, 9170377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21571*a**3 + 2279*a**3 + 1472*a**3 - 41720*a**3.\nAnswer: -59540*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, z: 3}. Give prob of picking 1 q and 3 z.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 p when three letters picked without replacement from qupiiqppptwiipp.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (6 + -4)) + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/20)\/((-2)\/5). Let i = -1 - -0.7. Let m be 3\/(-9) - (-25)\/57. Which is the biggest value? (a) l (b) i (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24631361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 less than -0.065652?\nAnswer: 0.004348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6626377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*h - 138. Suppose 13 = -5*q + h. Suppose -4*z + 23 = -q. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001129 rounded to 5 dps?\nAnswer: 0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 1258087.\nAnswer: 10064696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)\/x)\/((x\/(x*x**(1\/7)))\/x)*x*x**(-2\/21)*x*x*x*x*x\/((x**(-1\/2)*x)\/x)*((x\/(x*x*x\/(x\/x**(2\/13)*x)))\/(x*x**(1\/15)))**(4\/21) assuming x is positive.\nAnswer: x**(2581\/8190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-30) + (-171)\/(-15). Let x be r - 3\/((-6)\/2). Suppose 5*i = i + x. Solve o = s, i*s = -2*s + 4*o - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 112140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2596961425 to the nearest integer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31452\/11 + -2864. Suppose -16*v + 72 = -19*v. What is the common denominator of (80\/v)\/((-22)\/12) and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1278*u - 551*u + 504*u - 2650 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -392c5 (base 15) to base 16\nAnswer: -2ca65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -237*v + 275*v + 38 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 3*b - 4*b)*(25417*b - 8*b**2 - 25417*b).\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 x when three letters picked without replacement from {x: 11, r: 1, b: 2}.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415 = -17*l + 146. Is l bigger than 168\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 11*h**2 + 18*h - 15. Let c be k(10). Calculate the highest common factor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 2*f - 2*f - f**2 + 1 - f**4 + 0*f. Let p(y) = -3*y**4 + 3*y**3 - y**2 + 5*y + 4. Let t(x) = -4*i(x) + p(x). Factor t(g).\nAnswer: g*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.5263592 rounded to three decimal places?\nAnswer: -17.526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 14 - 47 = 0. Let q = c - -9. Is 3*94*q\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - 6*q + 0*q)*(308*q**2 + 11386 - 11386) - 2*q**3 + 9*q**3 + 3*q**3 to the form v*q**2 + i*q**3 + r*q + p and give i.\nAnswer: -1222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3098889 is divided by 113?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 88.42633 millilitres?\nAnswer: 0.08842633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 5*a = 400. Suppose 30 = -4*s - k - a, 75 = -3*s + 3*k. Find the common denominator of -69\/8 and (-105)\/s*2\/(-4).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001471 rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 25 (b) 5 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8493207 decades to millennia.\nAnswer: 0.008493207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + (-4 - -6 - 1) + (-3072 - -3024).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 3*l - 18. Let d be l\/(-15)*5*-3. What are the prime factors of 3 + -1 - 3 - d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 4*j + 3. Let c be t(4). Let a be (c\/(-42))\/((-1)\/(-6)). Let v = a - -47\/77. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 10610.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 + 962*r**3 + 109119*r**2 + 214398*r.\nAnswer: r*(r + 2)*(r + 129)*(r + 831)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 109\/531 - -1\/59. Let i = -1\/7 + -3\/28. Suppose 3*q + 24 = 3*z, -q = 4 - 1. What is the closest to w in z, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/7 - 25*l**2\/7.\nAnswer: -l**2*(l + 25)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from idddvidii. What is prob of sequence iii?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**5\/20 + 7*r**4\/6 + 11*r**3\/6 - 4*r**2 - 20*r. Does 10 divide i(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 101*o**4 - 124 - 138 + 68 - 97 - 49 wrt o?\nAnswer: 404*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 49640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -539 (b) -3\/2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = o - 1, 3*o = -u - 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*k - 32513065 = 238686915, -a - 4*k - 90400020 = 0. What is a rounded to the nearest 1000000?\nAnswer: -90000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/181 in -0.8, -1\/4, 0.112, -0.4?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10955, 6818, 2715, -1336, -5317?\nAnswer: -9210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**2 + 2*c + 7*c - 6*c - 3 - c**3. Let o be (-1)\/3 + 110\/(-30). Give n(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p = -a - 27, -4*a + 3*p = 82. Which is bigger: -21 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 5*t**2 + 5. Let z(h) = -2*h**3 - 10*h**2 + h + 10. Let k(m) = -9*v(m) + 4*z(m). Suppose -3*j = -4*c, 4*j - 2*c = -3 - 7. Determine k(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136\/3638*-3*(-1)\/(-12)\nAnswer: -1\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5060, -17477, -38172, -67145, -104396, -149925?\n\"Answer: -4139*m**2 - 921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3949\/260321 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -40, -52144?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6997, 27931, 62799, 111601, 174337, 251007?\nAnswer: 341611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 744 and 13144?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 3755399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220 - 1022220001?\nAnswer: -1022212011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 3*x + 19*x.\nAnswer: 17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6475321*i**2 + 868418*i - 4 wrt i.\nAnswer: 12950642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -7*u**2 + 2*u - 2. Let w(g) = 14*g**2 - 5*g + 5. Let o(z) = -5*f(z) - 2*w(z). Let a(m) = -12*m. Give a(o(j)).\nAnswer: -84*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + -1 - 18\/(-4). What is the smallest value in u, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2550 and 17\/20?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 7*y**3 + 25*y**2 - 41*y - 19. Give n(-8).\nAnswer: -1675","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s - 58. Let m(i) = -i + 63. Let o(h) = 5*m(h) + 6*x(h). Let u be o(4). Let j(z) = z**2 + z + 2. Calculate j(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**4 + 2*w**4 + w**4 + (-2*w**3 + 5*w**3 - w**3)*(2 - 2 - w) + 2*w**4 - 3*w**4 + 2*w**4 - 3*w**4 + 0*w**4 + 2*w**4.\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 1. Let f(z) = 3*z. Suppose h + h - 2 = 0. Let n be -3 - (-2 + h + 0). Calculate n*k(q) - f(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 15218970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 766 = 2*w + 2*s, s - 2 = 0. Let a = -385 - w. Solve 0 = -5*c - a*c + 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/798)\/((23\/(-161)*7)\/7).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 3\/4*a**5 + 0 + 1\/6*a**6 + 0*a**3 + 0*a**2 + 5\/6*a**4 + 11*a. Determine z, given that j(z) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 - 5308787*v**2 + 5308787*v**2.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 15*f**2 + 10*f - 29. Let s(p) = 8*p**2 + 5*p - 15. Let i(u) = -6*a(u) + 11*s(u). Let d be i(7). Is 7 a factor of 6\/(-8) - d\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 45?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k. Let v be h(1). Let g = v - 4. What is the remainder when 4 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/2)\/x*x**(-5\/7))\/(x**(-2\/3))**(-1\/8) assuming x is positive.\nAnswer: x**(-109\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 11649.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 83592*p + 1253694. What is x(-15)?\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32330 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.065442 rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 5*n, 2*q + 0*n + 6 = 4*n. Let i(z) = z - 9*z**q - 12*z**3 + 34*z**3 + 7*z**2 - 14*z**3. What is i(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13153 - -5?\nAnswer: 13160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329961739192801*t**2\/2 - 90824245*t + 25\/2 = 0. What is t?\nAnswer: 5\/18164849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 4*k**2 + 4*k - 10. Let z be d(4). Let j be (-35)\/(-25) - z\/15. Solve -2 = -u + 2*x, -3 - j = -2*u + 2*x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*i - f - 7, -5*i + 4*f = -26. Suppose 7 = i*m + 9. What is the least common multiple of 16 and m\/3 + (-50)\/(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 3*n - n)*(-1331*n - 113744 + 113744).\nAnswer: -1331*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50 + 9*v + 50 + (-3 + 2 + 3)*(-4*v + v + v).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*x - 1 - 23, -5 = -x. Let m be -4 + k + 2 - -12. Calculate the common denominator of (m\/(-192))\/(2\/(-396)) and 137\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + -423104002?\nAnswer: -423104014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 11338 = -10202. Let q = p + -1729. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -424*b**3 + 445*b**2 wrt b?\nAnswer: -2544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + f - 137 + 114 = 0, 5*f = -2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4293 + -60001\/14. Calculate the common denominator of a and 17\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, w: 3}. Give prob of sequence waa.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.599460928 and 0.06977.\nAnswer: 0.669230928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/24 and -77\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - h + 1. Let w(a) = -a**2 - 3*a + 3. Let c = 44 + -29. Let p(u) = c*j(u) - 5*w(u). Let o(g) = 2*g. Determine o(p(k)).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*o - 11. Let l(z) = 6*z + 21 + o - 3. What is the units digit of l(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**7\/14 - 10*d**3\/3 + 3*d**2. What is the first derivative of a(y) wrt y?\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153469, 153140, 152811, 152482?\nAnswer: 152153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/78 and 75\/18837442.\nAnswer: 56512326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6*m + 44*m**2 - 15*m - 8*m**2 - 14*m**2 - 10 - 21*m**2. Calculate t(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Let r = 1 - 0. Let c = r + k. What is the second smallest value in 2\/13, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0659 or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyo when four letters picked without replacement from {y: 7, o: 6}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-1\/6)*j**(-1\/7)\/j)\/(j\/j**(-1\/4))**(-11\/3))\/((j**(-1))**41*((j**(-1)\/j)\/j)**(-28)) assuming j is positive.\nAnswer: j**(-1047\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42543, -85004, -127409, -169758, -212051, -254288?\nAnswer: -296469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 7875121?\nAnswer: -4\/7875121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 8:31 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u. Let b(x) = 2*x + 114 - 56 - 58. Calculate b(c(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) 3 (c) -2 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 239 - 238. Let t(p) = 45*p**3 - p**2 + 2*p - 1. What are the prime factors of t(r)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.5 + 0.5. Let i = 2 + v. Let d = -3.9999994 + i. What is d rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*a**4\/19 - 18520*a**3\/19 + 3537814*a**2\/19 + 9541104*a\/19 + 4782888\/19 = 0. What is a?\nAnswer: -3267, -2, -2\/3, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -161781531 * -0.8\nAnswer: 129425224.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y - 8*y + 27*y + (3 - 1 - 4)*(3*y - 5*y + 0*y))*(0 + 1 - 3)*(-2*y + 4*y + y)*(-3 + 1 + 0) to l*y + d + i*y**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17608 and 2728?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/484 - (-1)\/((-11)\/(-261)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1030\/70 - 12 - 3)*546\/936?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1534 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/8 + 1 + -1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380 is divided by 341.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 3*i + 7, 49652*k - 10*i = 49647*k + 70 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1*-1*(24\/9)\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132982, 265966, 398950?\nAnswer: 531934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 673 + 138b9?\nAnswer: 1425c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13828805, 27657609, 41486413, 55315217, 69144021?\n\"Answer: 13828804*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llgg when four letters picked without replacement from lgdbgllgbdlqlllbgd?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 1\/18 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-108 + 7) - 70.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-12))\/(a\/(a*a**4\/a)*a))**(-17))**12 assuming a is positive.\nAnswer: a**(-3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -1271*q + 17. Is p(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -156ab - -69?\nAnswer: -15642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/98426 and 79\/426.\nAnswer: 20964738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h - 27. Let y(o) = 3*o - 28. Let i(a) = 6*n(a) - 5*y(a). Let q = -667 - -677. Let j be i(q). Does 7 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 6 - (28 + -41).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a**2 + 3*a + 1. Let k(n) = -6*n**2 + 2*n. Give 3*k(j) - 2*u(j).\nAnswer: -4*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*j - 12671 + 12671.\nAnswer: -229*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -7\/12*p**4 - 7\/30*p**5 - 1\/30*p**6 + 0*p - 2\/3*p**3 + 2*p**2 + 0. Solve c(y) = 0 for y.\nAnswer: -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 808695?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 359 = -406. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/9 + 2*g**3 - 10*g**2\/3 + 14*g\/9.\nAnswer: -2*g*(g - 7)*(g - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 37 = -16. Suppose 4*t = -0*t + 16. Suppose t*p - 26 = -3*r - 7, 3*r + 5*p - 20 = 0. Calculate the remainder when z is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, -6 in increasing order.\nAnswer: -9, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 715*z + 2170. Let f be k(-3). Solve -2*o + 13 = -5*y + f, 5*o = 5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**3\/3 - 2*f**2 - f. Let c be k(5). Suppose -w - c = w. Sort w, -4, 1 in increasing order.\nAnswer: -4, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3743.3 and -67.\nAnswer: 250801.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4539 and 48807?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (4*sqrt(162) - sqrt(162))**2 + (sqrt(2) - (sqrt(2) - (-4 + (sqrt(2)*2)**2)) - sqrt(2)).\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(95)\/sqrt(5)*-2) + 5.\nAnswer: 5 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2789?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 5:09 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*c - 930 - 916 - 948 + 2962 in the form b + n*c and give n.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 6*u**2 - 4*u + 7. Let p(l) = l**2 - l + 1. Suppose 17 = 5*w - 25*v + 28*v, 5*w - 2*v = 22. Determine w*p(o) - x(o).\nAnswer: o**3 - 2*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002418753 rounded to 5 dps?\nAnswer: -0.00242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 10:04 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 5*d**2 + d + 3. Suppose 5*u - 4 - 21 = 5*w, 2*w - 5 = -u. Let k be b(u). Let s = 10 - k. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*p + 4. Is 1288\/24 - p\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, 0.082, 0, -0.1?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -88b - 982?\nAnswer: -1651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkdkkkdkdkkdd. What is prob of sequence kd?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1455628?\nAnswer: 2, 19, 107, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 7 = -x, 0 = 21342*m - 21342*m + 2*x + 22 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a meter in centimeters?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1063?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 1:14 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 14*o - 16*o - 39, -10*o + 16*j - 14 - 42 = 170 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.647 to 1 dp.\nAnswer: -17.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbs when three letters picked without replacement from {b: 2, f: 2, k: 1, s: 4}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1032 is divided by 372.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16219*q**3 + 8109*q**3 + 8109*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110101000011 (base 2) to base 15.\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -318470, -317465, -316460?\n\"Answer: 1005*o - 319475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 453 + -352. Let n = -208 + s. Do n and -105 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/12)\/((-25)\/15)*5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 4*t**2 - t**2)*(5 - 5 - 1).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.0749 - -0.26072\nAnswer: 0.18582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - x**2 - 8*x + 10. Suppose 3*v = 4*n + 23, 3*v = -2*v - 5*n + 15. Calculate the least common multiple of 6 and d(v).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3)\/x)**20\/((x\/x**11)\/(x**0\/x)) assuming x is positive.\nAnswer: x**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 a factor of 1086649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 592 and 39447624.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 940975739?\nAnswer: 11, 761, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 0 + (85 - 114)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.79505 to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**5\/20 + j**4\/4 + j**3\/3 - 21*j + 11. Let a(d) be the first derivative of c(d). Factor a(b).\nAnswer: b*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82802433*q**2 + 3*q + 5160685 wrt q?\nAnswer: 165604866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 14 = 2*x. Solve 0 = i + m - 5, -x*m + 2 = -i - 13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59510000 to the nearest 1000000.\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -163*a + 1127. Determine i(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2016 + -47. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 38, 54, 72, 86, 90, 78, 44?\n\"Answer: -t**3 + 7*t**2 + 2*t + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6 + 6*w - 4 + 0 - 3. Let o(k) = -7*k + 1. Suppose 2*s = 3*s + 4. What is s*o(b) - 5*c(b)?\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 322322 - 3?\nAnswer: 322314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*f + 20 = 0. Solve 0 = i + f*i + q - 7, -5*q = -4*i - 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**4 - 1\/5*h**5 + 4*h + 1 - 2\/21*h**7 + 0*h**2 + 2\/5*h**6 + 4\/3*h**3. Suppose u(b) = 0. What is b?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 2*g - 13. Let o be m(-5). Let f(n) = -4*n**o - 8 + 5 - 4*n + 0*n**2 - n**3. What is f(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-564)\/(-15) + 2\/5. Let u(g) be the first derivative of -10 + 2*g**3 - k*g**2 - g**3 + 38*g**2. Let x(i) = 5*i**2. Give x(u(y)).\nAnswer: 45*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n + 10953 - 10413 = 0 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 1\/2*w**2 - 1\/6*w**3 + w + 0. Is 2 a factor of l(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 7*r + 9. Determine q(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78 by 12.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*y + 16. Suppose k - 3*k + 76 = 0. Suppose 3*z - 4 = k. What is the remainder when z is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsb when three letters picked without replacement from ssbqnnnqsn?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 3087669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -37 (b) 0.3 (c) 4 (d) 5\/4 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*o - 23*o + 80. Suppose 3*p - p - 42 = 2*d, -2*p + d = -47. Calculate the lowest common multiple of p and o.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*p + 3 = 0, -2*y + p + 9 = -0*p. Suppose -y*k - 2*k = 0. Is 1\/6 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 832 = 370*d - 109 - 169. Let b(y) be the first derivative of -50*y - 2 + 35\/3*y**d + 0*y**2. Differentiate b(x) wrt x.\nAnswer: 70*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m = -146 - 334. What is the smallest common multiple of m and 36?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 221.9 + -222. Let g(f) = 3*f**3 - f**2 - f + 1. Let d be g(1). Suppose 0 = r + 1 - d. What is the closest to -2\/5 in o, 1\/3, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66\/88 - (-20)\/16\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3287, 3297, 3321, 3365, 3435?\n\"Answer: s**3 + s**2 + 3285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 173785, 347525, 521265, 695005, 868745?\n\"Answer: 173740*m + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -17875*p + 1644506. What is b(92)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -7*a**3 - 17*a**2 + 2*a - 2. Let q(k) = -7*k**3 - 16*k**2 + 3*k - 3. Let c(g) = -2*q(g) + 3*r(g). Find the third derivative of c(v) wrt v.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 600 - 8*u - 2*u**2 - 600 as i*u + q + y*u**2 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n**2 - 4*n - 5. Let s(c) = -23*c**2 - 9*c - 23. Let q(w) = 11*w**2 + 5*w + 11. Let u(r) = 5*q(r) + 2*s(r). Give -7*t(v) - 4*u(v).\nAnswer: -v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -0.36, -5.8, 2, -2\/5, 3 in ascending order.\nAnswer: -5.8, -2\/5, -0.36, 1\/10, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -51628060 to the nearest 1000000.\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/(10 + -6) - (-141725)\/5. Suppose 16*a = -8029 + j. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2\/8 + 101*r\/4 = 0.\nAnswer: 0, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15660 and -3961965.\nAnswer: -3977625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 213 - 139. Suppose -o*c - 64 = -78*c. What is the units digit of c + -18 - 73*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-155 - -143)*(-6)\/10.\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1229, 2499, 3955, 5693, 7809, 10399, 13559?\n\"Answer: 16*p**3 - 3*p**2 + 1167*p + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (17 + -30)) + (-3 - (-6 - -3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/5, 4, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 29*x**2 + 47*x - 497. What is n(30)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.004 * -23\nAnswer: -0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39574998?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58488842, 58488856, 58488870?\nAnswer: 58488884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(3\/2))\/((-3)\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*j + 4*x, -2*j - 6*x = -2*x - 20. Factor -1\/2*v**2 - j*v - 2.\nAnswer: -(v + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13, -6, 1, 8?\n\"Answer: 7*t - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -54, -49, -42, -33, -22?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/102796 and 83\/176.\nAnswer: 4523024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 165.451 in -34, 0.2, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(-68))\/(3\/(-4)*1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1411?\nAnswer: 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-4 + 3 + 1 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 202\/1717 - (-36)\/(-17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 47. Suppose 0 = -v - 3 - a, -5*g - 5*v = -30. Suppose -g*r = 1 - 12. What is the smallest common multiple of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6200, -6327, -6652, -7271, -8280, -9775, -11852, -14607?\n\"Answer: -16*u**3 - 3*u**2 - 6*u - 6175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 12*l**2 + 2205770*l. Let f(c) = 4*c. What is j(f(q))?\nAnswer: 192*q**2 + 8823080*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -42*w - 2. Let m be f(-1). What is the highest common divisor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 e, and 1 k when three letters picked without replacement from koerjoeh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0876556 - 940.1696556. Let c = -940 - p. Round c to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 292 + -289. What is the common denominator of ((-17)\/i)\/((-130)\/30 + -3) and -3\/112?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 2 + 8 = 0. Sort 5, c, -4 in decreasing order.\nAnswer: 5, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen quarters of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (2 + -1 + 1). Let a(f) = f - 50000. Let x be a(r). Round x to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, 35, 157, 389, 767, 1327?\nAnswer: 2105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 224\/5*f**4 + 592\/5*f**3 - 294\/5*f**5 + 32\/5*f + 256\/5*f**2 + 0 = 0.\nAnswer: -2\/3, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57497 divided by 1.\nAnswer: 57497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 161359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 + 110*f - 103. Let m(d) = d**2 - 55*d + 57. What is 6*g(b) + 11*m(b)?\nAnswer: -b**2 + 55*b + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2682717244.\nAnswer: 2, 163, 4114597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/15 - (-231)\/55. Solve -29 = -8*n - z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7215504 centuries to months.\nAnswer: 865.86048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/16*14\/((-924)\/1)*8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9621 and 94257.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1*-5*5\/10*-2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2483423616.\nAnswer: 2, 3, 6467249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1632 is divided by 126.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**3\/3 + 3*x**2\/2 - 4*x + 14. Calculate the least common multiple of y(6) and 4.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/9*q**3 - 1\/9*q + 0 - 2\/9*q**2.\nAnswer: -q*(q + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/863248 and -59\/5216?\nAnswer: 1726496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**5 + 186*a**4 + 1269*a**3 - 2928*a**2 - 9228*a + 17136 = 0. What is a?\nAnswer: -7, -3, 2, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 divided by 84?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316*v**2 + 2*v + 212*v**2 + 313*v**2 - 491*v**2.\nAnswer: 350*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - x - 2. Let n be c(3). Suppose 0 = 5*m + n - 58. Let i = m + 170. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10901, 263, -4 in descending order.\nAnswer: 10901, 263, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-19 - 12 - -5 - -22)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3155286 by 2.\nAnswer: -1577643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 34 + -11?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23295 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7526302 divided by -122\nAnswer: -61691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 475629968 divided by -803429\nAnswer: -592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 33*w + 111. Let r be k(-4). Put -2, r, 0, -3 in descending order.\nAnswer: 0, -2, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 8*a**2 + 12*a + 14. Determine o(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.98 + -23. Let l = 0.88 - i. Let g = -8 + 8. Which is smaller: l or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1138129634.\nAnswer: 2, 17, 33474401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 9*o**5\/20 + 5*o**4\/24 + 304*o**3 - 80*o**2. Differentiate v(c) wrt c.\nAnswer: 54*c + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62770554 to the nearest integer?\nAnswer: 7923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 3\/7 (c) -373\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, l: 8, g: 5}. Give prob of sequence mm.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + -910. Is h less than or equal to -0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*l = 18, -39*h - 5*l - 5 = -34*h. What is the smallest value in h, 2, -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 0 + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 8*m - 12. Let g be r(6). Suppose -4*p + 9*p - 10 = g. Solve 4*o - p = 2*h, -h = -4*h + 5*o - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/2 and 34\/235.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8202880 is divided by 193.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 b, and 1 c when three letters picked without replacement from klkscobb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**5 - 697109*t**4 - 5576823*t**3 - 10456511*t**2 + 2788424*t + 13942020 = 0.\nAnswer: -697101, -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316 = -2*u - 2*u. Suppose 5*m + 23 = -4*k + u, 60 = 5*m + 5*k. Suppose m + 0 = 2*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11101011110101100101000 (base 2) to base 11\nAnswer: -43a9105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m. Let d(z) = 32*z**2 + 28*z + 28. Let v(f) = -f**2 - f - 1. Let s(j) = -3*d(j) - 84*v(j). Determine s(l(n)).\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 11:00 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**5 + 245*v**4 - 455*v**3 - 725*v**2 + 920*v + 940 = 0. What is v?\nAnswer: -1, 2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 12:06 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15085 is divided by 6780?\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 33 = 2*s. Let w = s + -7. Suppose 6 = w*h - 26. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2633*i - 1013*i - 1590*i - 1386*i.\nAnswer: -6622*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 78 = -3*m, d + 4*m - 68 = 10. Which is smaller: 77 or d?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(468)*2*-3 - (sqrt(208) + sqrt(208) + sqrt(208) + 1 + sqrt(208))*-4))**2.\nAnswer: 10192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 63723d + 2?\nAnswer: 63723f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**9\/13608 + a**8\/1890 + a**7\/756 - 2*a**3\/3 + 8*a**2 + 33. Let n(f) be the third derivative of r(f). Factor n(t).\nAnswer: -2*t**3*(t - 5)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, t: 3, k: 11}. What is prob of sequence ket?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-9) - (-32)\/(-12). What is the remainder when 4 is divided by 80\/25 + j\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 + 7*a - 7. Let p = -10702 + 10703. Calculate h(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*p - 2. Let y = 1823\/19 + -96. Which is smaller: y or p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -218, -93, 248, 913, 2010, 3647, 5932, 8973?\n\"Answer: 18*d**3 - d - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 - (-9)\/((-45)\/25). Put 9, m, -4 in increasing order.\nAnswer: -4, m, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 f, and 2 a when four letters picked without replacement from ziamfzzmmiiziiiza.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 >= 5847\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**4\/3 - 3684*h**3 - 44221*h**2\/3 - 11056*h = 0?\nAnswer: -3, -1, 0, 11056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 6:12 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1255?\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*i - 32 = 0, 3*w + 2*i - 23 = -3*i. Suppose -w = -6*f + 12. Sort f, 2\/9, 0.17.\nAnswer: 0.17, 2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a**2 + 70*a - 41. Determine f(17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 86 = g - 2, s - 50 = g. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1758 + 5377\/3. Let i = -33 + p. Let i*z + 1\/3 + 4\/3*z**2 = 0. What is z?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 854736922?\nAnswer: 2, 13, 41, 801817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30680 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 155513\/18965 - 309\/(-5).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.2 * 11.\nAnswer: 244.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -49. Let m be 4\/k + -1*(-2)\/(-7). Let i be (-6)\/8 + 1 + 0. Which is the nearest to -0.3? (a) -5 (b) i (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66980, 133369, 199774, 266201, 332656, 399145, 465674, 532249?\nAnswer: 598876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**6\/120 + r**5\/30 - r**4\/24 + 3*r**2. List the prime factors of t(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 131049258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154 + 37*j + 512 - 36*j.\nAnswer: j + 666","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8727069028 to the power of 1\/7, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.19638 * -0.1.\nAnswer: -0.619638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 22*a**3 - 8*a**2 - 8*a + 66. Let d(l) = -8*l**3 + 3*l**2 + 5*l - 22. What is 8*d(g) + 3*w(g)?\nAnswer: 2*g**3 + 16*g + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6210 = 2*v - 18811 - 9195. Is 26 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 0 + 24 = n. Which is the second biggest value? (a) -1\/2 (b) 1\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40656 divided by 4\nAnswer: -10164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16003 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 144 = 7*b. What is the units digit of (-3 - 7\/(-3))*b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**4 + n**3 + n + 1. Let r(k) = 5*k**4 + 8*k**3 + 3*k + 8. Let w(p) = -3*r(p) + 24*v(p). Find the second derivative of w(c) wrt c.\nAnswer: -468*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681641201 to the power of 1\/3, to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -28*90\/11025*7\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2684 = -422*r - 7866 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1037*2\nAnswer: -2074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -4, 39, -0.1, -1\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -139674309\/2111 + 66165. Does x = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*a = 896, 4*a + 342 + 124 = -2*y. Let t = -209 - y. What is the remainder when 124 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52210 + 52210 - 3*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 40*d - 1237. Calculate m(31).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/9)*h\/((h\/h**(-12))\/h))**(-10)\/(h**6\/(h**(-1\/5)*h)*(h\/((h*h**(-1\/5)\/h*h)\/h))**50) assuming h is positive.\nAnswer: h**(1666\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + c + 848 + 29, 3*c = -2*o - 356. Let y = -123 - o. What is the common denominator of -59\/8 and ((-6)\/y)\/((-42)\/742)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkp when three letters picked without replacement from {d: 1, p: 2, x: 1, k: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 19840600*o - 198405500.\nAnswer: -5*(o - 3968110)*(o - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times -2082?\nAnswer: -124.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*r, 5*r - 69 = -5*w + 9*r. Let l = 54 - -297. Calculate the highest common divisor of w and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*y**5 - 1 - 13*y**5 - 55*y**2 + 39*y**5 + 72*y**5 + 0 wrt y?\nAnswer: 5340*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50 - 1353?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.030626 rounded to three decimal places?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 315234?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49516?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*g = -22. Calculate the highest common factor of g and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6695*p**2 + 10*p - 15. Let u be g(11). What is u rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -1217299.\nAnswer: -4\/1217299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7315 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 60\/63871?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 6. Suppose 8*i = 7*i - 1. Let m = i + t. Solve -m*c + 8 = 2*s, -5*s - c + 13 + 11 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99 + -497\/5. What is the closest to -1 in -1\/11, l, -1\/4, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 419339640 to the nearest 1000000.\nAnswer: 419000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.61 + 1.41. Which is greater: 1\/32 or b?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26372 and 131860.\nAnswer: 131860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 808622?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 126*m**5 + 4136*m**3 - 13219702*m**2 wrt m.\nAnswer: 7560*m**2 + 24816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40164?\nAnswer: 2, 3, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 246 + -11a390?\nAnswer: -11a146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -94*o**2 + 9*o. Let m(h) = -h**2 + h. Let b be (4 + -9)\/30 - 15\/18. Let j(y) = b*m(y) - c(y). Factor j(q).\nAnswer: 5*q*(19*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-507 + 517)*((-2)\/4*-1 - -2). Solve 0 = 112*h - 116*h - 3*q + 15, -5*q = 3*h - f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3006120 rounded to the nearest 10000?\nAnswer: 3010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 3 + -7 + 6 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*u**2 - 7*u**2 + 21 - 20 + 168*u - 163*u in the form f*u**2 + q + p*u and give f.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 2*x - 23 = 0, 2*b - b + 1 = -x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 835903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -43 - 97. Let s be ((-15)\/12 - 0)*4\/u. Let y = -2 + 1. Which is the second biggest value? (a) 0.4 (b) y (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l. Let c(h) = -h**2 - 3*h - 1. Let z(f) = f - 1. Let r(o) = c(o) + z(o). Let m(s) = -s**2 + s + 1. Let q(p) = -4*m(p) - 2*r(p). Give w(q(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - (47 - 10) - -4) + (-10 - 1).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 16 - 4. Suppose -5*d - 25 = 0, -5*p - 57 = -o*d - 492. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32509 - 15984. List the prime factors of o.\nAnswer: 5, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-4) - 1)*(-280)\/1260. Let m(u) be the third derivative of -1\/20*u**5 + 0*u**4 + 0*u + 0 + p*u**3 - 8*u**2. Give m(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1100))\/(sqrt(36)\/(sqrt(9) + sqrt(9)*-4 + sqrt(9))).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-178)\/(-623)*1\/23*-7\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 334563\nAnswer: -5\/334563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.372788 rounded to 1 decimal place?\nAnswer: -78.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 12) + 6 + -1 + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*v + 20. Suppose v*b - 22 = -7. Suppose b*r - 51 = 5*l, 2*r = 4*l + 11 + 25. What is the least common multiple of r and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 34193 = -12*v + 8*v, -5*v + 13667 = 2*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (6 - 10) - (0 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8854477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -7, -20, -49, -100, -179, -292?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(70)*1 + sqrt(70)))\/(sqrt(10)*1*-5).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*u - 2*z + 28, -5*u + 2*z = 55. Which is smaller: u or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**5\/4 - 5*a**4\/3 - 10*a**3\/3 + a**2 + 101. Factor t(n).\nAnswer: -5*(n + 2)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736959 is divided by 1087.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/21 and -127\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40915968 - 0.6.\nAnswer: 40915967.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 0 + 3*q**4 - 9\/2*q**2 + 1\/3*q**3 - 5*q. What is the hundreds digit of i(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-36)\/(-10) + 21\/(-35). Suppose -17 + g = -m. Calculate the remainder when m is divided by 4*(-1 + 2) - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.00537 + -0.10537. Let g be (0 + (-26)\/10)\/(-1). Which is the third smallest value? (a) g (b) q (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000017336 rounded to 6 dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57)\/(sqrt(15)\/sqrt(5)))**2 + -4 - (-4*sqrt(1900) + -1)) + -2.\nAnswer: 14 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*w - 2*w + i, -i = -4. Let s(m) = -5*m + 472*m**2 - 471*m**2 + 0*m. Let b be s(w). Solve x = -b*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -129143\/12 - -10754. Calculate the common denominator of (-327)\/(-60) + 0 - 2\/10 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = 12*t - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 320997 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 504 = -3*m. Let v be (36\/45)\/(1\/35). Calculate the greatest common divisor of v and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = 264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/(-50) - -4)\/(4\/10). Let j = 22 - w. Calculate the remainder when 21 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 262*j - 260*j + 15 = 0, -23*q = 3*j - 115 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*u + 62*u + 139*u - 51*u - 9477 = 0 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 71*c + 1\/3 + 212\/3*c**2 = 0?\nAnswer: -1, -1\/212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 509 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -55649*j + 3672830. Determine d(66).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**4\/5 - 142*a**3\/5 = 0. What is a?\nAnswer: -71, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.01, 9, -3, -2, -76?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 29 = -v - 30, 12 = i - 12*v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (87976\/(-25136))\/(7\/(-138)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) + -5)**2 - (((sqrt(13)*1)**2 - sqrt(13)) + 5)) + (-2 + sqrt(13))**2*-1 + -3.\nAnswer: -45*sqrt(13) + 312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -59\/19, 4\/11, 5?\nAnswer: -59\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 151*d**3 - 1205*d + 1205*d - 7 wrt d.\nAnswer: 453*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**4\/4 + q**3\/3 - 9*q**2. Let d be -4*-2*2\/8. Determine t(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millisecond in microseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 34*l**2 + 2*l + 58. What is z(-34)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from shsmsqpsspsqmsssp. What is prob of sequence smsp?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 + -176?\nAnswer: -16d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (698\/(-14))\/((-19)\/133) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7 and -214.304054.\nAnswer: -207.304054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -129293 * -4.\nAnswer: 517172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85685030?\nAnswer: 2, 5, 389, 22027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215420041?\nAnswer: 215420041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**3 - 13*n**2 + 15*n - 7. Let g(f) = -f**3 - f. Let s(x) = 2*g(x) + u(x). Let b be s(12). Factor b*m**2 + 5*m**3 - 2*m**2 - 5*m**4 - 5*m + 2*m**2.\nAnswer: -5*m*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, g: 7}. What is prob of sequence gqqg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18732751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v = -5*x + 13*v + 6, -x + 4*v = 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1067 (b) 2 (c) 0.4 (d) 4 (e) 9 (f) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-4))\/((-3)\/14*35\/(-16))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242299 is divided by 242240.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2430*o = 2445*o - 375. Solve 0 = 43*l - 46*l + 3*m + 15, -5*l - 2*m + o = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 0.4 (b) 4 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 4*c**2 + 2. Let i be f(4). Solve 5*v - 5 = 3*v + 3*z, 4*v - i*z + 2 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/4 + 14760*t**2 - 59037*t + 59036.\nAnswer: -(t - 59036)*(t - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 9, 0, 1, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -26a (base 12) to base 9\nAnswer: -451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -29. Let v(b) = 7*b**2 + b - 4. Let m be v(x). Suppose 18 = 3*u - w - 0*w, -2*u + m = 4*w. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (13\/5)\/(27\/(-3195)). Is -309 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**2. Let a(n) = 124652*n. Give a(j(z)).\nAnswer: 747912*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 - (4 - (8 - -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 1 + 3)*(-2 - 4 + 2) - 29 - 14 - 5)*(-2*n - n + 0*n).\nAnswer: 120*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 2 - 320*m + 45*m**3 - 44*m**3 - 44*m**2 + 1 + 320*m.\nAnswer: m**3 - 44*m**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = -g. Suppose -g*i = -11*i. Put i, 1\/4, -41 in descending order.\nAnswer: 1\/4, i, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 6*c - 9. Let l be (-3 - -6)\/(-9) + (-37)\/c. Let n be (-1)\/(-2)*1*10. Solve -5*p + z = -z + l, -n*z = -5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98597?\nAnswer: 98597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 234.22417 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. Suppose -4*r = -a*r - 4. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 13*q - 72. What is a(8)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042958230.\nAnswer: 2, 5, 23, 211, 21491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4899533 is divided by 1467.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23110 - -5?\nAnswer: -23103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, 1\/66, -3\/7, 5, 0.2, 0.06?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 4. Let r(o) = -183*o - 3. Give -f(i) - r(i).\nAnswer: 182*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*d - 43, -2*d = 5*g - 20 - 28. What is the highest common divisor of 65 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 7*u**2 + 3*u - 10. Let g = -367 - -374. What is r(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**4 + 22420*z**3 - 30535068*z**2 - 2485954548*z.\nAnswer: -4*z*(z - 2841)**2*(z + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2 = 0, 3*a + 5*t + 38 + 98 = 0. Find the common denominator of -29\/112 and -6 - ((-246)\/a + -6).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -18\/5, -2\/11, 1.5, -1\/3, 105\/8?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 118*x**2 - 3371*x - 489. What is b(49)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5730.02 - -5652. Let a = z + 77. Round a to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n + 6. Let y(l) = 2*l**2 + 3585*l. Calculate y(b(a)).\nAnswer: 98*a**2 - 25263*a + 21582","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97500381*p**2 - 21*p + 1495255?\nAnswer: -195000762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + o + 9. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2568a73 (base 11) in base 13?\nAnswer: -bc9863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 5:07 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - 1 - 4 - -14. Let l = -9 + m. Let v(b) = 3 + l*b + 0 - 4. Determine v(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 41. Suppose 27*c = 21*c + q. Solve 0 = j + c*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 307, 4, 0, 3 in decreasing order.\nAnswer: 307, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**2 + 5*j**2 + 0*j**2 - 4*j**2 + 3 + 12*j. Let v be i(6). Solve -v*u = -z + 17, 4*u = -4*z + u - 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -11. Let y(w) = -w**3 + 8*w**2 - 2*w. Let r be y(6). Let x be ((-3)\/2)\/(r\/(-32)). Which is the smallest value? (a) 3 (b) v (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -407, -811, -1213, -1613, -2011, -2407, -2801?\n\"Answer: o**2 - 407*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -15258.886637 to zero decimal places.\nAnswer: -15259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.09, -3, 0.055, -0.4, -2?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 10 - 0) + 0. Suppose -n = 4*x + 39 + a, -3*x - 3*n - 30 = 0. Let h = x - -20. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472630391 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/448 and -133\/48?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/11, -84, 26\/79, -0.15, -4?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*d - 2*r = -34*d + 4, -2*r = 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, i: 9}. What is prob of picking 2 n and 1 i?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 9*b + 5*b**2 - 4*b**2 - 3*b**3 + 2*b**3 - 7 + 6*b**2. Suppose 123*j = 126*j - 24. Determine u(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2891\/11 + 263. Are 1 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + sqrt(1300) + -4 + 4)**2 + 4 + (-2*-2*sqrt(13) - (sqrt(78) + (sqrt(78) - (sqrt(78)*2 + sqrt(78)) - sqrt(78)))\/sqrt(6))**2 + 2.\nAnswer: 60*sqrt(13) + 1783","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a kilogram in grams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 762*i + 44530 = 3382 for i.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 9 = 19. Let d = b + -11. Let p(f) = -f + 5. Is p(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 u, and 1 b when three letters picked without replacement from {v: 1, w: 1, u: 1, b: 1, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(4 - 1 - 2)*(-5 + 5 - 4)*(-6*c**2 - 7*c**2 + 0*c**2)*(16*c - 33*c - 25*c) - c**3 + c - c.\nAnswer: -2185*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4255 - -4368. Sort -2, 3, 0, r in increasing order.\nAnswer: -2, 0, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 109. Let v = 64.34 + o. Round v to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/14*(-595)\/85?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 475\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s - 227980 = -226605 for s.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1037 is divided by 208?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 136346.\nAnswer: 1\/136346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 44837289 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46477, -46474, -46461, -46432, -46381?\nAnswer: -46302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1121928 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w - 34. Suppose 0 = -h + 5*p + 10, 278*h - p = 279*h + 8. Determine s(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03054 - 3.08754. Let w = -0.791 - -0.734. Let p = w - k. What is the fourth biggest value in p, -1\/5, 2\/13, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -7008\nAnswer: 1\/2336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c354 + -5?\nAnswer: c34f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 93660190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3021547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yayh when four letters picked without replacement from {y: 4, h: 7, a: 6, e: 1}?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33477497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8161, -16344, -24523, -32698?\n\"Answer: 2*w**2 - 8189*w + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cquqeqqmmqhmu. Give prob of picking 1 e, 1 m, and 1 c.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*o**3 + 9*o**3 + 7 + 7*o**3.\nAnswer: o**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113510 = 1029*w - 24630 + 36269. Suppose 3*g = -6*k + k + 90, 0 = 4*g - 4*k - 152. What is the remainder when w is divided by g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2750\/(-175))\/(-22)*(-115)\/(-25).\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105534209 is divided by 322.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26.1 + -26. Which is smaller: 2\/9 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2137, 4312, 6507, 8710, 10909, 13092?\nAnswer: 15247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhwwwwhwwhw. Give prob of sequence hwwh.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-26))\/(-1*(-4)\/4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, n: 2, e: 1, p: 1, f: 1}. Give prob of sequence rr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 9.2, 4\/7 in descending order.\nAnswer: 9.2, 4\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j + 29. Suppose 14*b - 17*b = 39. Let q be l(b). Let i be -8*(q\/2 - 2). Sort i, 0, -8 in increasing order.\nAnswer: -8, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 1\/(-1)*-1. Let t = -9 - -7. Let f = -2 + t. Which is the second biggest value? (a) 3 (b) f (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zsoz when four letters picked without replacement from {o: 3, s: 5, z: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 613.3mm in micrometers?\nAnswer: 613300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 12) + 100 + -98 + 0 + -5\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4 + 5*x**2 - 3*x**2 + 6*x**3 + 3. Let j be s(1). Let a = -50 + 71. Calculate the highest common divisor of a and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21705407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from cfpjclr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -3bb8b50?\nAnswer: -3bb8b4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*s**2 + 34*s**2 + 14*s**2 + 76*s**2.\nAnswer: 100*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 6. Let k(i) = i**2 - 7*i - 26. Let d be (10\/(-4) + 1)*(-28)\/(-6). Let q be k(d). Suppose -14*u - q = -23*u. Calculate f(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (52 - 104 + 54)*(-4*y**2 + 7*y**2 + 4*y**2) in the form j*y**2 + n*y + a and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(0 + (-9)\/(-6)). Suppose -3*r - h = 4*u, 0*r + 12 = -3*u + 3*r. What is the units digit of 1\/u*(-3 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z + 1386 = 21*z + 2*u, -4*z = -4*u + 1384. Let i = -345 - z. Solve 2*y + 3*a - 16 = 0, -4 = -4*y + 3*a - i*a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7, 8, 23, 38?\n\"Answer: 15*n - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*m + 3 - 2*m - 2*m + 2*m + (3 + 0 - 2)*(-2*m + 1 - 1) + m - m - m)*((2 - 5 + 2)*(6 + 0 - 4) + 0 - 3 + 1).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 800393 + -1?\nAnswer: 800392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, q: 8, c: 7}. Give prob of picking 1 q and 1 c.\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 1 - 6\/7. Let l = -0.2 - -0.1. Let o = 2.1 - 2. What is the third smallest value in l, m, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, d: 9, b: 3, c: 5}. What is prob of sequence bcbd?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7*s**3 - 5*s**2 - 14*s + 2. Let j be g(-5). Let c = j + -227. Is c a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -197.6 and 0.1.\nAnswer: -19.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 12 + 1 = -8*q - 3*x + 6, q + 5*x - 5 = 0 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1547992*b**5 + 3823293*b**2.\nAnswer: -92879520*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-21)*-6)\/((-307)\/(-6447)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + -3 - -16) + (4 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**2 + 2597*y - 2*y**2 - 2597*y.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -36226\nAnswer: -1\/18113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 11. Suppose -b*o - 2 = -18. Suppose 48 = -0*k + o*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/3*8\/(-36)*-3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-22))\/((-17)\/187)*3\/6\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 4, 10, -2.\nAnswer: -5, -2, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 476*f**3*y - 318*y wrt f?\nAnswer: 1428*f**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10546 or 10544?\nAnswer: 10546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a hour in minutes?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 203 and 20241739?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -135*j**3*q**3 + 3*j**3*q**2 + j**2*q**2 + 7*j**2*q wrt q.\nAnswer: -810*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 30699?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r - 6. Let b be a(-9). Let v = b + 86. What is the greatest common divisor of 65 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + 164\/(-40))\/((-6)\/15). Which is the closest to -0.1? (a) -2\/5 (b) -15 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 36*w**2 + 6*w + 3. Let b be r(-1). Let l be ((2 - 0) + 1)*88\/b. Calculate the highest common factor of 124 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16249, 16174, 16099?\nAnswer: 16024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i**2 - 4*i**2 + 2*i**2 + i**2.\nAnswer: 17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60979782?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + j - 4 + 5)*(1 + 1 + 0)*(-195 + 195 - 50*j).\nAnswer: 100*j**2 - 100*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65096)\/(-12324))\/(16\/312).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*b = -6*k + 40*b + 923906, -461933 = -3*k - 5*b. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11346?\nAnswer: 2, 3, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 3)*(-5*s + 2*s + 2*s) - 4*s - 2*s + 3*s in the form i*s + g and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z + 3*z + 3 + 11. Is h(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * 9.6638\nAnswer: 0.193276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 317*j**3*s**3 - 9*j**3*s - 2*j - 3288*s**3 wrt j.\nAnswer: 951*j**2*s**3 - 27*j**2*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1758*b - 32465 - 72428 = 25199 for b.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2000 + 1999.97681. Let v = k - -0.023. Round v to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5296 = 15*l - 7289. Round l to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/4685 - 210797\/65590. What is the common denominator of v and -77\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -a - 9. Let y = 14 + a. Solve -v + 0 = y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 4. Let c be m(-7). Let w be 3\/((4\/c)\/4). Suppose -w = -b + 16. Solve -l - 5*v = l + b, 0 = 3*l - v + 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + 21. Let x = u - 12. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v**2 - 337*v - 2041. Let d be y(-6). Put -0.5, d, -5\/2, 2 in decreasing order.\nAnswer: 2, -0.5, -5\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (580\/15)\/(124\/(24 + 7))\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*v - 55 = 0, 5*v - 41 - 24 = 5*w. Let f = w + 7. Which is the closest to f? (a) -5 (b) -0.11 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 197, 283, 417, 593, 805, 1047, 1313?\n\"Answer: -t**3 + 30*t**2 + 3*t + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -4*j - 2, 530*y - 525*y - 5 = -5*j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 + 63. Which is the nearest to o? (a) -0.4 (b) -3\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*h + 4, 3*j - 72 = -6*h - 17*h. Let d(g) be the third derivative of g**3\/6 - 2*g**2. Let z(l) = 2*l + 4. Give h*d(u) - z(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -126390 divided by 42130?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1407024 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3951629581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2551 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(132)\/(-5*sqrt(12))*4.\nAnswer: -4*sqrt(11)\/5 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*s = s + 7, 25 = -5*s. Let v be 2\/l*(-6 + 0). Find the second derivative of 2*k + 5*k**v + k**5 - 5*k**3 wrt k.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/7 + 669*l**2\/7 - 43800*l\/7 + 690000\/7.\nAnswer: -3*(l - 100)**2*(l - 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -60\/421 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.464 - 0.12. Let n = -0.06 + c. What is n rounded to two dps?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5934223265.\nAnswer: 5, 1186844653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -9*t**2. Let q(c) = c + 16. Let p be q(-14). Let h(u) = -u + u + p*u. What is h(b(n))?\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-4))\/(9\/(-12)). What is the third derivative of 5*s**j - 4*s**4 + 3*s**3 - 3*s**3 - s**4 wrt s?\nAnswer: -120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 0*r - 1\/18*r**4 - 1\/90*r**5 + 0*r**3 + 4*r**2 + 0. Suppose n(w) = 0. What is w?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6803807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 2\/3, 0, 2\/7, -1570, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.23, -1, 20?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 161*k**6 + 3*k**5 + 68*k**2 + 4. Let r(b) = -322*b**6 - 5*b**5 - 136*b**2 - 7. Let p(m) = -4*r(m) - 7*u(m). Find the third derivative of p(a) wrt a.\nAnswer: 19320*a**3 - 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13654 and 22?\nAnswer: 150194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19919*k - 50 = 5*m + 19921*k, -90 = -5*m + 2*k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/6)\/4*1235\/2964.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 219 = -5*y, 4*v = v + 6. Let u(d) = 19*d - 9. Let z be u(4). Suppose n - y = -2*n + 4*p, -2*p = -5*n + z. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -400 divided by 200\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111212 - -10120?\nAnswer: -101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, -50, 37, 5, 2, -5 in decreasing order.\nAnswer: 37, 5, 3, 2, -5, -8, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 300*((-1)\/(-8) + 2 + (-156610)\/16). Round m to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-12))\/(315\/(-280))*5*(-40)\/(-16).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kllk when four letters picked without replacement from {l: 5, x: 2, m: 1, k: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 5921\/(-126) + 4239 + -4192?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260915420.\nAnswer: 2, 5, 67, 194713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -268\/209, -41, -2\/7 in ascending order.\nAnswer: -41, -268\/209, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/696 and -107\/30?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10941 = 597*c + 792 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3\/2, -4, 1.426, 2\/13?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 23*p + 0 + 2.\nAnswer: -23*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/9)\/((-1)\/(-3)). Let i(s) = 7*s**2 - 7*s - 5. Let j(g) = -4*g**2 + 4*g + 3. Let o(n) = -3*i(n) - 5*j(n). What is o(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 101874?\nAnswer: -101877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-75)\/(-50))\/(6\/(-56)). Let f be 23\/j + (-3)\/(-21). Let i = -3 + 3.2. What is the nearest to 2\/7 in i, f, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*c = -0*c - 2, 0 = -3*u - c + 6. Suppose 0 = -f - w - 214, -u*f - 3*w + 28 = 454. List the prime factors of (-13)\/((-21)\/f + 2\/(-9)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 9537 = -7573. Calculate the highest common factor of 118 and s.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4927, 5001, 5075, 5149, 5223, 5297?\nAnswer: 5371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x + 4. Let m(i) = -8*i + 7. Let r(b) = -4*m(b) + 7*s(b). Let p = 771 + -739. Let k(y) = 112 - p - 40 - 40 - 4*y. Give r(k(f)).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.5, 2\/137, -15, 5 in decreasing order.\nAnswer: 5, 4, 0.5, 2\/137, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*p + 112 = -5*l + 84*p, 0 = 225*l - 4*p + 1241 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjoj when four letters picked without replacement from moumzoumjummmjuumu.\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -38, 0, 22, 22, -6, -68?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 25441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 66 = -0*w. Suppose 0*l = -2*l + 4. Suppose -5*q + 35 = l*q. Solve -8 = -q*m - w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*t + 91, -5*g + 3*t + 195 + 48 = 0. What is the remainder when g is divided by (-2)\/7 - (-368)\/14?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/80)\/(414\/(-460)*1\/(-6))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((3 + -3)\/(-3))\/1. Let g = 87 + -84. Let j be g\/(-9) + 68\/6. Put j, -3, 5, d in descending order.\nAnswer: j, 5, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t = -160. Let b = t - 29. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/((l*l**(-16))\/l)*l*l**(2\/15)\/l assuming l is positive.\nAnswer: l**(257\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 6 - (-17 - (6 - -65 - -10))\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -6. Let m(p) = 11*p. Calculate the least common multiple of m(c) and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 603273 and 264?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + (2*(sqrt(204)*2 + sqrt(204))\/sqrt(12))**2)*2.\nAnswer: 6110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24.13243 and -2605.\nAnswer: -2580.86757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 58*z - 1421. Calculate o(25).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q**2 - 8*q - 13. Let p = -1 + -3. Let o(v) = 2*v**2 - 4*v - 6. Let b(h) = p*z(h) + 9*o(h). Find j such that b(j) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 divided by -5?\nAnswer: 121\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**2 - 14*p + 4. Let a(r) = 2*r**2 + 15*r - 4. What is -3*a(b) - 4*q(b)?\nAnswer: 10*b**2 + 11*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 5, 3\/38, -4231?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1297 and 0.15?\nAnswer: -194.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a centimeter in micrometers?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1064 and 12?\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -238*-0.5\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, l: 2, o: 2, w: 2, r: 5, x: 2}. Give prob of sequence onlo.\nAnswer: 1\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4222*r**2. Let q(i) = 10*i. Determine q(l(u)).\nAnswer: 42220*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-8))\/((-51)\/(-340)) - 1)*(-570)\/(-836)\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/1796190 and 89\/2.\nAnswer: 1796190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2*92\/(-276) - (179 + -196)?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004326 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 1 = -6*t, -863*t + 859*t + 41 = 5*n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(11) + 5*sqrt(176))*2.\nAnswer: 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(364)\/sqrt(7)*-5)\/(sqrt(100)*-3).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00585488209 to five decimal places.\nAnswer: 0.00585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + 0.1. Let m = -166 + 165.887. Let o = 2.887 - m. What is the biggest value in o, c, 1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/11 - 722*l**2\/11 - 64798*l\/11 + 65522\/11.\nAnswer: -2*(l - 1)*(l + 181)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*x**2 - 26*x**2 - 39*x**2 + 102*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 6*l + l - 17*l to the form k + h*l and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(3\/4)*p)\/p)\/(p**(-2\/5)\/p))\/(p*p**(-5)*p)**46)**25 assuming p is positive.\nAnswer: p**(14015\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2482049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4498976 or 4498972?\nAnswer: 4498972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-1\/13)))**(6\/37)\/(w**(-2\/99)\/(w**20\/w)) assuming w is positive.\nAnswer: w**(906317\/47619)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-6*(1 + sqrt(704)) - sqrt(704)) + sqrt(704) + (sqrt(704) - 1*sqrt(704)*-6) + 4*(sqrt(704) + sqrt(704) + 1*sqrt(704) + sqrt(704) + -1)*-5)**2.\nAnswer: -12640*sqrt(11) + 4393764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42058*a**2 - 3*a + 5717 wrt a?\nAnswer: -84116*a - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 81 or 1\/11545?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 101561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-12) + (0 - (0 + 0)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 1. Let r = 13 + l. Let s = 0.5 - r. Which is the closest to 4? (a) 3 (b) 3\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16680*c + 16514*c - 996 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, 9, -6, 2 in decreasing order.\nAnswer: 9, 8, 4, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-6) - 5\/5.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + n. Suppose n = o + 2*o - 42. Calculate the highest common divisor of o and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - 3*l + 4*l)*(157*l + 2871*l + 317*l) + 4*l - 2*l**2 - 4*l to i*l**2 + x + p*l and give i.\nAnswer: 6688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-21) + ((-1086)\/(-21))\/1. Suppose -k + g = k. What is the remainder when 100 is divided by k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24678 + -32064. Let q = -28742 - t. Round q to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -891 - -4?\nAnswer: -887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33284952 - -3?\nAnswer: 33284955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-568)\/10)\/((-16)\/40)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3055768, -3055766, -3055762, -3055756, -3055748, -3055738?\n\"Answer: u**2 - u - 3055768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**2 - 61*i + 127. What is v(-22)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -5*p**2\/2 + 140*p - 106. Let h be d(-38). What is the greatest common divisor of 198 and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 648 and 288?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/3 + 114*w - 676\/3.\nAnswer: -2*(w - 169)*(w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5*r = 138 - 147, -3*r - 47 = 4*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3551 rounded to 2 decimal places?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 17670 divided by -7244\nAnswer: -8835\/3622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/36*6*(-6)\/(-22). Which is the nearest to -2\/3? (a) -0.5 (b) 0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkwn when four letters picked without replacement from {k: 5, n: 10, p: 3, w: 2}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -1.36989339.\nAnswer: -5.47957356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(153)*-2)**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38893, 78280, 117669, 157060?\nAnswer: 196453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -4 - (-10 + 5 + (20 - 13))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 74843*o**3 - 2*o**2 + 3*o - 4. Let u be y(-4). What is u rounded to the nearest one hundred thousand?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-4)*30\/(32\/((-4800)\/210)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110100001 + 1001010?\nAnswer: -100101010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 104.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480*y = -4*h + 481*y - 25, -4*y = -4*h - 16 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 16041*f + 64180.\nAnswer: -(f - 16045)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s + 3148 + 4482. Let o = s - -5226. Suppose 262 = 6*z - o. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**6\/120 + 4*b**5\/15 - 5*b**4\/24 + 10*b**3\/3 - 39*b**2. Is 25 a factor of t(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(2 - (-54)\/(-12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109645524 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 101987*l**3 - l**2 + 1989*l + 21 wrt l.\nAnswer: 611922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 675 by 675.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2411, -2985, -3559, -4133, -4707?\nAnswer: -5281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and -26555709?\nAnswer: 424891344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 a when two letters picked without replacement from tattrrrrttrrraaratr.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 9*d - 4. Let j be a(-5). Suppose 3 - j = g. Let t be -1 + g - (-20)\/(-17). Is t greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m - 127 + 263 - 269 in the form o + j*m and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a microgram in nanograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(99)*-3 - -2*(sqrt(99) + 1))**2.\nAnswer: 60*sqrt(11) + 2479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 10 = 2*f, 5*a = f + 140 - 123. Let q(r) be the first derivative of -2\/7*r**f + 9\/14*r**2 + 0*r - 27. What is j in q(j) = 0?\nAnswer: 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.94 - -0.06. Let f = -0.6 + v. Let h = 0.6 + f. Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - 389?\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10140 and 385980.\nAnswer: 65230620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 16*c**2 + c - 10. Suppose 4*d - 5*a + 1219 = 0, -4*d - 2*a - 842 - 356 = 0. Let g = d + 317. Determine j(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -58*f**2 - 1. Let j(a) = -7*a**2 - 10*a. What is j(s(q))?\nAnswer: -23548*q**4 - 232*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -738 + 740. Solve 0 = 5*h - 2*s + 31, -c*s - 2*s = 2*h - 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 3*s**2 - 3*s - 2. Let b be l(4). Suppose 2995 = -7*n + 3016. Let u = 13 - 18. Put n, u, b in ascending order.\nAnswer: u, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l + 6*l**2 - 6*l. Suppose -4*a - 16 = -p, p + 217 = 2*a + 229. Determine y(a).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193 + 193 + 202606*u.\nAnswer: 202606*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 25*p**2 + 1349*p - 36. What is r(-54)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 21 = 6. What is the second derivative of 0*j**2 + c*j**2 - j**2 - 3*j - 3*j**2 wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7508 + 55551 = 5462*x + 446769 for x.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -14, -36, -78, -146, -246, -384, -566?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6957, -6961, -6967, -6975, -6985, -6997?\n\"Answer: -n**2 - n - 6955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 263809 - 117605 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18916 + -18919. Which is the nearest to 20? (a) -0.4 (b) k (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1956246205 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 5*f + 2. Let c(n) = 6*n**2 + 28*n - 10. Let d(t) = -2*c(t) - 11*y(t). Let b(p) = p. Let x be b(-2). Give d(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r - 14*r - 5*r)*(-23*r**3 + 2 - 19*r**3 + 34*r**3) in the form k*r**2 + f*r + a*r**4 + t + j*r**3 and give f.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**2 - 43*n - 66 = 0.\nAnswer: -33\/5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 24 = 5*a - a, -4 = -2*a. Let j(h) = 2*h + 65. Does 16 divide j(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 74830101?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -252, -253, -254?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/3)\/m)\/((m**(-1\/8)*m*m)\/m)*m**5*m*m**(1\/4) assuming m is positive.\nAnswer: m**(137\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-30)*(-665)\/(-817). Is 1 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 - 150*l + 703. Let x be d(5). Factor -4\/3*g + 0 - 8\/3*g**x - 6*g**2.\nAnswer: -2*g*(g + 2)*(4*g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 3. Let r be ((-300)\/(-70))\/((-2)\/(-14)). Suppose 3*j = 4*k - r, -l = -k + 2*j - j. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**3 - 7*x**3 + 0*x**4 + 2*x**4)*(-x + 6*x - 3*x).\nAnswer: 4*x**5 - 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u - 3*u + 2*u + 409 + 2*u + 3*u in the form i*u + d and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/9 + 16540*n**2\/9 + 3806946*n + 30338064.\nAnswer: 2*(n + 8)*(n + 4131)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.6 + 3.6. Let s = 99.9 - 104.9. Let w be 2 - ((-2 - -3) + 0). Which is the second biggest value? (a) s (b) 14 (c) w (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.1, -47.\nAnswer: -47, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 41 = 5*l. Let j(d) = 2*d + 9. Let y(i) = -i - 6. Let r(o) = l*j(o) + 8*y(o). Is r(3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p - 2*p - p. Let k(q) = 8*q**2 + 5*q + 5. Let z(s) = -4*s**2 - 2*s - 2. Let m(d) = -2*k(d) - 5*z(d). What is w(m(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6845?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 897 = -5*v, 3*v - 2 = 1. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -247, -360?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 27. Let o be l(0). Let q(i) = i**2 - 10*i + 12. Let x be q(9). Let p(a) = 27 + x*a - o. What is p(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/10 - (-201)\/15. Let v = -3 + d. Suppose -3*i = -4*x + i + 88, -x = 3*i - 10. Calculate the remainder when x is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10475\/(-9625) - (-2)\/5 and 38\/77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00119286 to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 5*q + 2268 = 0. Let c be (0 - 1)\/(18\/q). Is (-4 + c\/(-6))\/(3\/(-2586)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18100 + 18718. Calculate the remainder when 673 is divided by d.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ti when two letters picked without replacement from {i: 1, o: 1, t: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1594, -3185, -4776, -6367, -7958, -9549?\nAnswer: -11140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2457.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jftj when four letters picked without replacement from {j: 2, f: 2, l: 2, t: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -575 - -667. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 + 7)*(-3 - 3 + 4)*(4*a**4 - 4*a**4 + a**4).\nAnswer: -14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g*k*w**2 - 25*g*k*w - 730*g*w**2 - 2*g + 5*k - 4*w**2 - w wrt k.\nAnswer: -4*g*w**2 - 25*g*w + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -10*z**3\/9 - 15646*z**2 - 347168*z\/3 - 394072\/9 = 0?\nAnswer: -14074, -7, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2659 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + sqrt(720) + -1 + sqrt(720))*2)**2.\nAnswer: -3072*sqrt(5) + 46336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.85694 kilograms in tonnes?\nAnswer: 0.09985694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 504007 and 178?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 89 = 6*x. What is the highest common factor of 108 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -38, -1\/2, -0.1, 2\/5, -11\/10?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-4\/15)*b**(1\/12) assuming b is positive.\nAnswer: b**(27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 70940*l + 212856.\nAnswer: -4*(l - 3)*(l + 17738)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 1075*d**2. Let a(x) = -12*x**2. What is q(a(c))?\nAnswer: 154800*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m\/(m**(3\/32)\/m)*m*m)*m*m*m*m**(-16\/7)*m*m**(-24)\/m**(-3\/11) assuming m is positive.\nAnswer: m**(-63865\/2464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-62)\/6 + 0 + (-81)\/(-243)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-six fifths of a millennium?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -t + 7*g + 28, 4*g + 112 = 4*t. Let f be (12\/28)\/(4\/t). Suppose 3*i**f + 11*i**2 + i - 1 + i**4 - 8*i**2 + 1 = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 r when three letters picked without replacement from jfrrffttfjr.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 19302*f - 6432*f - 6432*f - 6438*f - 8*f**2 + 2*f**2.\nAnswer: -6*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/12)\/((-3)\/(-54)). Solve -4*g = x - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -3\/2, 2\/7, -3\/13?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/9 (b) 4 (c) -3\/4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + g - 2 = 0, -5*v + v - g = -2. Solve j - 15 = -4*u, 2*u + 4*j - 3 - 1 = v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -581469 (base 10) to base 15.\nAnswer: -b7449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-80)\/24*(-9)\/(-6)*-3. Let q be (3\/15)\/(9\/x). What is the nearest to -3 in 2\/5, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -388655120, -777310238, -1165965356?\n\"Answer: -388655118*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 143\/55 - (-5)\/((-825)\/399)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.09 from -181082842451.\nAnswer: -181082842450.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11115, -11114, -11113, -11112, -11111, -11110?\n\"Answer: f - 11116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 - 29c4?\nAnswer: -29b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3555 + -788. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1244274, 1244271, 1244268, 1244265?\n\"Answer: -3*d + 1244277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 394114.6um?\nAnswer: 0.0003941146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2123120 - -11?\nAnswer: 2123131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -84.889 - 0.111. Let k = 78.6 + r. Let z = -6.3933 - k. Round z to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 5*w - 17*w + 13*w.\nAnswer: w - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h**3 - h**3 - 4*h**3 + (-3 + 1 + 1)*(-h**3 + 2*h**3 - 2*h**3) - 15*h**3 - 21*h**3 - 77*h**3.\nAnswer: -111*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1.2706069 times 0.05\nAnswer: 0.063530345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5063\/420 + 313\/21. Let i = h + -13\/5. Let d = -1 - -3. What is the third smallest value in i, -2\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 = -4*n + 65. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (81\/6 - (-3)\/6). Let d = 20 + z. Suppose 2*y = -2 + 162. Calculate the highest common divisor of d and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (-7 - ((21 - 26 - (4 - 1)) + -2))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9751 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37344896 and 2364?\nAnswer: 112034688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 + 68. What is the greatest common factor of c and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/4128 and -74\/645?\nAnswer: 20640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bcffpffjxppc. What is prob of picking 1 c and 1 b?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (5 - 0 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -868 and 1.8?\nAnswer: -1562.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 55*m**2 - 129*m - 947. What is w(-7)?\nAnswer: 2651","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.33276 - -1.03519. Let k = -13.6 + 22.9. Let v = p + k. What is v rounded to 4 decimal places?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 98*s**5 + 140*s**4 - 356*s**3 - 416*s**2 + 306*s + 324 = 0. What is s?\nAnswer: -2, -1, 9\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*g - 22 = 29*g - 5*o, -20 = -5*o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/8 of a hour?\nAnswer: 5850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4 + 33*a**3 + 365*a**2 + 1551*a + 1890 = 0 for a.\nAnswer: -15, -9, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 139200 and 812?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 14 (c) -4 (d) 0 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -13*l + 4. Let s be x(-5). Suppose -3*m + s = 15. Calculate the remainder when 43 is divided by (3 - 1)\/(m\/99).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 < 218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 243.89314 to zero decimal places.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 284616723*d**5 + 130944583*d**2 wrt d?\nAnswer: 17077003380*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**4\/4 - 7*l**3\/3 + 3*l**2 - 2*l - 6. Let i be b(-8). Calculate the highest common factor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = -20*f + 60 - 74 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 10*d**2 - d + 8. Let j be g(10). Let k = 5 + j. Suppose k*x - 20 = 7. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3617 - -3616.99995262. What is b rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1095 rounded to the nearest ten?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s - 1. Let v be l(1). Let w be (15\/6)\/(v\/4). Suppose -3*b + 5*p - 4 = -1, 5*b = 5*p + w. Solve 5*t = 6 + b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 - -2 - (-16 - -4). Suppose -x*s = -3*s - 3*l - 171, 0 = 3*l + 9. Is 27 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*m**4 + 26252*m**3 + 3*m + 929593.\nAnswer: 528*m**2 + 157512*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + -17. Which is bigger: k or -27?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 6*a - 3. Let n be l(-6). Let o = 5 + n. Solve i + 0*i**2 - 3*i + i**o = 0 for i.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61585*s + 98691*s + 245209*s.\nAnswer: 405485*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -14. What is the nearest to 2 in -0.3, q, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 489 - 485. Let u = -1 + 1. Let v be 0\/(u - -1)*-1. Which is the second smallest value? (a) y (b) 2\/9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 7595241?\nAnswer: -30380964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 8 = -4*z - v, 5*v = -5*z + 10. Let m = -119 - -119. What is the nearest to 1\/3 in z, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 4. Let l be u\/1*1 - -10. Let p(f) = -f**3 - 7*f**2 - 9*f - 7. Let i be p(-6). Solve 3*w + 3 = -3*a, -3*a + 5*w + l = -i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -10\/9*p**2 - 4\/9*p**3 - 16 + 8\/9*p. Determine r so that a(r) = 0.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-401 + 26*l + 401)*(18*l - 18*l + l**2 + 2).\nAnswer: 26*l**3 + 52*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 15 = i, -3*i - 2*o + 28 = i. Let g(p) = p**2 + 9*p - 21. Let w be g(i). What is the second derivative of f + 1 + 61*f**4 - 1 - w*f**4 wrt f?\nAnswer: 144*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r - 43. Calculate f(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 39, 1\/18, -0.3, -0.6, 1?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 269882 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**2 + 101693*s = 0.\nAnswer: 0, 101693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 30*v. Let b = -8 - -9. List the prime factors of f(b).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*p**2 - 160*p**2 + 84*p**2.\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 0, 1252, 173, -4, -2 in ascending order.\nAnswer: -5, -4, -2, 0, 1, 173, 1252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1183586, 2367178, 3550770, 4734362, 5917954?\nAnswer: 7101546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -0.3 (b) 1\/23 (c) -0.4 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5639 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: Let a be (64\/3)\/(16\/72). Suppose 5*q - a = k, -34 = -5*q - 4*k + 82. What is the greatest common factor of 30 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*s - 30*s = -2016 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 391 + -391.5. What is the nearest to 0 in i, 235, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c. Let u(i) = -i**2 - 52*i - 530. Let t be u(-38). Let d = 10 - 2. Let m(h) = 12 - d - 10*h**t - 4. Give m(n(l)).\nAnswer: -90*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + 0.4. Let m be -1*((-32)\/6 + 5). Which is the nearest to -0.2? (a) m (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c34a1 (base 15) in base 16?\nAnswer: -150703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -3*v**7\/35 + 37*v**5\/60 + 12*v**2 + 45. Let u(g) be the second derivative of z(g). Find the third derivative of u(y) wrt y.\nAnswer: -432*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 432 - 40. Let m = i + -49. Which is smaller: m or -8\/11?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -80, 3 in decreasing order.\nAnswer: 3, -3, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4157589 to the power of 1\/2, to the nearest integer?\nAnswer: 2039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-60)\/(-260)*(-6)\/(-450). Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1090124, 2180220, 3270316?\nAnswer: 4360412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 61\/20*i**5 + 0*i**4 - 36*i**2 + 0 + 0*i**3 + 16*i. Differentiate q(f) wrt f.\nAnswer: 183*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, n: 7}. Give prob of sequence np.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 60\/5482289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 115774.8 rounded to the nearest 1000?\nAnswer: 116000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -426.38 + 1.38. Let w = p + 422. What is the nearest to 0.3 in w, -5, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 2*l - 23, -15 - 4 = -5*r - l. Suppose -w + k + 35 = -k, r*k = -3*w + 150. What is the greatest common divisor of 30 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*x = -67*x + 202. Differentiate 30 - 76*s**3 + 101*s**2 + 3 - x*s**2 wrt s.\nAnswer: -228*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, n: 1, l: 4}. Give prob of picking 4 l.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2 + 9*o - 2*o + 3. Let y be b(1). Solve 10 = h - 4*q - y, -3*q - 2 = 5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -74, -220, -440, -740?\nAnswer: -1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4710 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 5*x**4\/6 + x**2\/2 - 2*x + 9. Let f(v) be the first derivative of j(v). Calculate f(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + f - 3*f)*(-1 + 1 + 1)*(-5*f + 2*f + 4*f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57783 is divided by 814?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -785090\/7 + 112156. Factor 14 + f*t**2 + 4*t.\nAnswer: 2*(t + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 441, 435, 427, 417?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 16103 = -5*p, 2*p + 2*a - 5274 = 1166. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/((l*l**0)\/l))*l)\/l**(-9) assuming l is positive.\nAnswer: l**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*f - 14. Suppose 0 = -2*r - 5*d + f, -2*d - 1 = -5*r + 2*d. Let w = 20 + -9. Calculate the smallest common multiple of r and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1093621405 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*x - 4 = 46. Suppose -3*n - 4*y + 11 = 0, 0 = -2*n + 5*y - 3*y - 16. Which is the second smallest value? (a) 0.27 (b) n (c) 2\/3 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*3 + 0 + 0)**2 + -5.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1730921253.3450224 - -3025531935.12502767. Let z = q - 1294610687. Let i = z + 5.22. Round i to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30310200 (base 4) to base 12\nAnswer: -26480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -77, -117, -157, -197?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002020112010102 (base 3) to base 6.\nAnswer: 1313025145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*r**4 - 3*r**3 - 6*r - 37204*r**2 - 2 + 37204*r**2 to y*r**2 + x*r**3 + h*r**4 + f + v*r and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5847 - -31754. What are the prime factors of s?\nAnswer: 19, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(171) + (sqrt(171) - -2*sqrt(171)*-2)))\/((sqrt(18) + sqrt(162)*-5)\/sqrt(2))*1.\nAnswer: 6*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 97 = p - 0*p, -p = -5*z - 57. Let x = p + -73. Solve -24 = 4*q + 3*w + 2*w, 0 = -3*q - x*w - 19 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p**2 - 7*p**2 + 37*p**2 - 12*p**2 - 6*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20277, 20275, 20273?\nAnswer: 20271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t. Suppose -3*f = -4*w - 26, 4*f - 5*f + 5*w = -16. Let k(d) = 11*d. Let v = -58 + 24. Give f*k(b) + v*m(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -225 (b) 0.43 (c) 5 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 4*j)*(0*j + 4*j + j)*(-19 - 13 + 10).\nAnswer: -440*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/182 - (-40)\/130.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16877 divided by 2411.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*u + 31*u + 1498 = -124*u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l + 3*l - 4*i - 5, 3*i + 18 = l. What are the prime factors of 1204\/(l\/(36\/8))?\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4463 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103392*b**2 + 264592*b wrt b?\nAnswer: -206784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5.54 times -0.3\nAnswer: -1.662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = j + 16. Let y(h) = -h**3 - 6*h**2 - 5*h + 2. Let b be y(-6). Let o = b + -23. Solve -j*l + o*l = 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -268096, -1072508, -2413188, -4290130, -6703328?\n\"Answer: p**3 - 268140*p**2 + p + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/42 - (1 - 25\/35). Let m be (-12)\/(-8) - 1\/2. Let n = -197\/5 + 39. Which is the nearest to x? (a) n (b) -3\/4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1789, 1640, 1259, 532, -655?\nAnswer: -2416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -65, -76, -77, -68, -49?\n\"Answer: 5*u**2 - 26*u - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001084794298 to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 7:34 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3638277, 3638284, 3638291?\nAnswer: 3638298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/714*17)\/(3 + 10\/(-6))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k + 2*k)*((-2 - 2 + 2)*(2*k - 1 + 1) + 7*k - 3*k + 4*k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 1:45 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(1\/3))**(4\/5))**17*(i\/i**(-1\/4)*i**(-1)*i*i)\/(((i*i\/(i*((i**(-1)*i)\/i*i)\/i))\/i)\/(i*i**2)) assuming i is positive.\nAnswer: i**(799\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-16) + -7)\/(596\/56 - 11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/3)\/((-134)\/201)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (171\/33 - 3) + (-4)\/22. List the prime factors of 49\/n*(-16)\/56*-49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (-77 - -29) - (-3 + 1 - -8)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101.8 + 101.8005359. What is t rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57)\/sqrt(3) + -4)*-6)**2.\nAnswer: -288*sqrt(19) + 1260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2d0d (base 14) to base 2\nAnswer: -1111101110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 2, -3, -1\/2, -1\/10, 4\/5, -0.617?\nAnswer: -0.617","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12796 + 371070\/29. Which is the second smallest value? (a) 3 (b) -1\/2 (c) w (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/4*((-1496)\/(-770))\/34?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**3 + v + 1. Let r(c) = -8*c**3 + 53*c**2 + 5*c + 5. Determine r(x) - 3*z(x).\nAnswer: -2*x**3 + 53*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -21. Suppose -2*j - 3 + 9 = m. Find the first derivative of -34*n**3 - j + 38*n**3 + 8 wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0542 and -15.03490358.\nAnswer: -15.08910358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(85))\/sqrt(5) + sqrt(17) - (sqrt(34)\/sqrt(2) + 4))**2.\nAnswer: -8*sqrt(17) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -o - c + 6*c, 3*o - 159 = -2*c. Suppose 0 = 5*z + 2*t - o, -2*t - 2*t - 8 = 0. Let g = -5 + z. What is the remainder when 21 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1364.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0845277644188 and 148.\nAnswer: 147.9154722355812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 1:48 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**2 + 46*l + 66. Give b(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, -5, -4\/7, 36520?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 913, 962, 1015, 1072?\nAnswer: 1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-934 + 968 - (2 - 2 - 3))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 25*c**4\/48 + 5*c**3\/4 + 9*c**2\/8 - 19*c. Factor y(r).\nAnswer: (5*r + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 16. Let q be (-2)\/5 + 34\/k. Let g(t) = 3*t**2 - 3*t + 1. Let v(s) = -16*s**2 + 14*s - 5. Let y(b) = 11*g(b) + 2*v(b). What is y(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 582804491 and 5.\nAnswer: 582804496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -694*s**3 + 2141*s**3 - 745*s**3 + 1937*s**3.\nAnswer: 2639*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 225 - 218. Let c(o) be the third derivative of 1\/3*o**3 + 0 + 1\/30*o**6 - 8*o**2 - 1\/6*o**4 + 0*o**5 + 0*o - 1\/105*o**n. Factor c(g).\nAnswer: -2*(g - 1)**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**5 + 5*g**5 - 4*g**5 + 24*g**3 - 24*g**5 - 24*g**3 + (g**4 - g**4 + 2*g**4)*(-7*g + 2*g + 3*g).\nAnswer: -29*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 6*j - 10. Let n = 36 + -35. Let l be ((-48)\/(-20) - n)*5. Let i be u(l). Which is the closest to 2\/5? (a) i (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/((-8)\/10) + -5 + 2. Suppose 0 = y*t + 5*p - 7788, -9123 = -3*t - 3*p + 2559. Suppose -4*a = -f + 4*f - 5839, 2*a = -2*f + t. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.08 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -999 (b) 1\/3 (c) -1\/2 (d) -2\/9 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56281 + -1377. List the prime factors of g.\nAnswer: 2, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8700 by -1.\nAnswer: 8700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 73.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 2*i + 4. Suppose 5*f + 10 = 3*f. Which is the closest to -2\/7? (a) f (b) 3\/2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -20*l**2 + 9*l + 11. Let b be k(-1). Is b at least -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23678358 by -33.\nAnswer: 717526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 2)*3\/(-9). Let k be ((-3)\/6)\/((-12)\/8). Which is smaller: i or k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30768*f - 8*f**3 + 10258*f + 10255*f - 9*f**3 + 10255*f.\nAnswer: -17*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1505 + 6053\/4. Find the common denominator of 29\/22 and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-18)\/(-48))\/6.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -5) + 0\/1. Let o(m) = w*m - 2*m - m**3 - m - m**2. Let s be o(-2). Solve -5*t - 19 = -a + 3*a, -s*t - 14 = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3165*n - 203. Is p(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -49886, -49888, -49892, -49898, -49906?\n\"Answer: -d**2 + d - 49886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 1. Let g = 5.4 + c. Let t be 4\/(-3)*(-6)\/10. What is the second biggest value in -2\/11, t, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76388 and 1300?\nAnswer: 1909700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*f + 316*f - 3214 = 3291 - 546 for f.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**5 + 395*w**4 - 7770*w**3.\nAnswer: -5*w**3*(w - 42)*(w - 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54291*q + 52135*q + 54290*q - 160719*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*j = -35*j - 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 9. Suppose 2*w + 3 = -x + 2*x, -4*w + d = 4*x. Solve w = -h - 0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 29*d - 1196. Calculate o(41).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 9 - 114 = 4*m, -2*m - 4*r = 84. Let z = m + 44. What is the remainder when (2 - 1)*(42 + -28) is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*v - 30, -6*h - 2*v - 2 = -2*h. Suppose -h*p = -6*p + 16. Suppose 8*q - 153 = p*q - 3*f, 9 = 3*f. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -18. Let a(m) = m - 2. Give a(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10413 and 9?\nAnswer: 10413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24132*o = 24108*o + 144 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qts when three letters picked without replacement from sttqtcssstssqsbq.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/23 (b) 0.4 (c) -27 (d) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57226, -114610, -171996, -229384?\nAnswer: -286774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*f - 785 = 0, -4*j + 5*f = 4*f - 631. Let n = 110 - j. Let y = n + 92. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -25\/2 (b) 22 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 46*u**2 - 3*u + 3. Let b(t) = 9154*t**2 - 598*t + 598. Let l(j) = 6*b(j) - 1196*g(j). Let m(r) = -r. Determine m(l(w)).\nAnswer: 92*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t + 2 - t + t**2 + 2*t**2 + 0*t.\nAnswer: (t - 1)*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9167912 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 p when two letters picked without replacement from {p: 1, b: 6, x: 5, m: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1533203.\nAnswer: 7, 23, 89, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16257 + -114180\/7. Let c = t + 3727\/56. What is the common denominator of -95\/8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 2*b**2 + 5*b**2 - 7 - 6*b**2 - 2*b**2. Let c(a) = 10*a - 2*a + 0*a. What is i(c(j))?\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.12 and -736.86.\nAnswer: 3035.8632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + -2 - 1891\/183)\/(-2 + 16\/12)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -5*x - 2*g, -5*g + 0 = 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 2*q + 19. Let m be r(-4). Which is the nearest to 0? (a) m (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2686 divided by -34.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3396*z. Let t(h) = 147*h + 1. Give t(i(r)).\nAnswer: 499212*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h - 5*h. Suppose -z + 69 = 2*z. Suppose 5*v - z - 72 = h. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - -10 - (-2 + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-5) - 1 - 0)*-5. Let v(q) be the first derivative of -3 + 0*q**2 + 0*q**o + 0*q**3 + 3*q + 2\/5*q**5. What is the first derivative of v(y) wrt y?\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgwgffgffffgwgf. What is prob of sequence gfgg?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-3 - 0) - -2) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 0)*(-2891*d + 4357*d + d**2 - 2329*d) to the form x*d**2 + p*d + o and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6*n**2 + 12*n + 44. Is 4 a factor of g(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 7*i + 63. Suppose 5 = -2*o + i. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 48073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 37*s**2 - 2625*s - 141. Give p(71).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 4*w - 4*u, -4*w + 169 = 5*u + 67. What is the remainder when 2076 is divided by w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.12 - -0.28. Suppose -17 = -b + 5*u, b + 4*u + 9 = -1. Suppose -q = s + 3, -4*q + b = -4*s - 10. Are h and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -372700, -372703, -372706?\n\"Answer: -3*f - 372697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (11 - 11 - 13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 0. Let i = 40251\/304469 + 9\/3421. Which is greater: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arzraaaxmaamaaaammma. What is prob of sequence arrr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((5850\/12)\/15)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -11*r - 19. Let f(n) = -3*n**2. Calculate u(f(t)).\nAnswer: 33*t**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 40306739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 49 = 5*s, 8*s + 31 = 11*s + 4*q. Solve 0 = 13*i - s*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -1 + 2 - 6. Let f(x) = 16*x**2 - 11. Let i(d) = 3*d**2 - 2. Let s = 30 + -70. Let g = 62 + s. Give g*i(y) + p*f(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19909.2 - -19905. Let t = 0.9 + 0.1. Is t greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -637*c + 5735. Let s be h(9). Solve -s*z + j = 4, 2*z - 9*j + 6*j + 8 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 - 3*h + 3*h + (3 - 2 - 3)*(4*h + 2*h**3 - 4*h) + h**3 + 2*h**3 - 2*h**3)*(-4*h + 0*h + 2*h).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -32. What is the greatest common divisor of h and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47021?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/1075 and -99\/2.\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 6. Let d = 5 + c. Let r = d + -9. What is the closest to -1 in r, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3*sqrt(70)\/sqrt(5))\/sqrt(2) - ((-1*sqrt(49))\/sqrt(7) + sqrt(196)\/sqrt(7)))**2.\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -13*r - 52. Let t be o(-8). Let s be -2 + 133 + 1 - 2. Calculate the highest common divisor of t and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**4\/5 - 96*y**3 + 8232*y**2\/5 + 17888*y\/5 + 1836 = 0. What is y?\nAnswer: -135, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/2 + 426*i + 1712.\nAnswer: -(i - 856)*(i + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**6\/1260 + 2*p**5\/315 - 5*p**4\/252 + 2*p**3\/63 - 5*p**2. Factor a(n).\nAnswer: -2*(n - 2)*(n - 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000622939 rounded to six dps?\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.012*2.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -12*w - 5. What is the tens digit of k(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 0*w**4 + 0 + 0*w**2 + 6*w + 0*w**5 + 5\/21*w**7 + 0*w**6 + 3\/2*w**3. What is the second derivative of f(j) wrt j?\nAnswer: 200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 239803\/56738 - -2\/2579. What is the common denominator of 17\/14 and l?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*t + 40, 10 = t - 2*t + 2*b. Let s be (-36)\/t - (-4)\/10. Suppose j = -s*j - 5*a + 15, -5*a - 27 = -j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*i + 6*i + 2040. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18163, 35973, 53817, 71701, 89631, 107613, 125653?\n\"Answer: q**3 + 11*q**2 + 17770*q + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**8\/12 + 269*r**7\/630 - 7*r**6\/12 + r**5\/36 + r**4\/3 - 2*r**3\/9 + 23*r**2. Find k, given that c(k) = 0.\nAnswer: -1\/3, 1\/4, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 23*j + 3. Let q be (3\/(-2))\/((-2)\/4). Let f be r(q). Let h = 22 + -13. Calculate the greatest common factor of h and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 10:22 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30223384 to the power of 1\/3, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w + 75. What is the least common multiple of 15 and f(5)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 56, 130 in descending order.\nAnswer: 130, 56, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81015 and 495?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3699 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39427, -39487, -39547?\nAnswer: -39607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 3*l = 16 - 12, 0 = -4*t + l - 18 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15, -18, 1, 54, 153, 310, 537?\n\"Answer: 2*s**3 - s**2 - 14*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 4*n - 11*n + 2*n**2 + n - 7*n.\nAnswer: 2*n**2 - 17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t - 41 = -110 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -363 + 423. Let n(p) = -8*p - 4*p**2 + 0*p**2 + 3*p**2. Let f be n(-6). What is the greatest common divisor of r and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*x - 10. Suppose 2 = m + 3*o - x, 0 = -4*m + 2*o + 20. Solve 0*j + 5*r + 35 = -2*j, m*r = 5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**18\/(a\/a**24))\/(a**19*a\/a**(20\/3)))**(-49) assuming a is positive.\nAnswer: a**(-4067\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*z - 2 - z**2 - 2*z**3 + z**2 + 18*z to i*z**3 + f + j*z + t*z**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2367 in 2, 2418.7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -2, 23 in increasing order.\nAnswer: -3, -2, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4a1514 (base 11) to base 13\nAnswer: 219997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*a = 4591, 4*r - 3975 - 2149 = 4*a. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 3*a**2 + 6 + a**4 + 2*a - 5*a**2 + a in the form u*a**3 + t*a**2 + x*a + p + g*a**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 3*g + 6. Suppose 25 = 7*u - 12*u. Let b(x) = x**2 - 4*x - 7. Calculate u*b(d) - 6*p(d).\nAnswer: d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124*q*y**3 + 2*q*y**2 - 6*q + 368*y**3 + y**2 - 6 wrt q.\nAnswer: -124*y**3 + 2*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 5*f + 852. Let m = 281\/2 - f. What is the fourth smallest value in m, 0, 4\/7, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 321 + -317. Let v = -547\/5 - -108. Which is the second biggest value? (a) 0 (b) r (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 9\/23927?\nAnswer: 9\/23927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 952 and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 5*o - 117 = -81, 20*z - o = -143 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -299486*d**2. Let x(n) = 154*n**2. Determine x(g(z)).\nAnswer: 13812547086184*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -273*x**2 - 324*x. Let t(m) = 21*m**2 + 25*m. Let c(u) = -2*o(u) - 27*t(u). Let n(s) = -3*s**2 - 4*s. Give 4*c(f) - 27*n(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*t - 522 = 0, 6*x - 5*x + 3*t - 122 = 0. Calculate the remainder when 630 is divided by x.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 804?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 14*l - 1055. Suppose -17*k = -10*k + l. Sort 5, -4, k.\nAnswer: k, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000270665255 to six decimal places.\nAnswer: -0.000271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 409 divide 1247041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -4. Let h = k - -2. Suppose -1 = p - 2*p + f, -3*p - 3*f = -15. Which is the second biggest value? (a) h (b) p (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.6982 + 4.70819532. Let h = -0.01 + j. Round h to 7 decimal places.\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2*-1*sqrt(119) + sqrt(119) - sqrt(119))\/(sqrt(567)*1) + ((sqrt(68)*1 - sqrt(68))*-5)\/(2*sqrt(324)) + -2).\nAnswer: -4 - 4*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -7, -773.\nAnswer: -773, -7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1005 + 5023\/5. Which is the third smallest value? (a) 1 (b) n (c) 0.163\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2798*p + 556*p - 939*p)*(p**3 - p**3 - p**3) to r*p + k + z*p**4 + m*p**3 + q*p**2 and give z.\nAnswer: 3181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11 or -24154\/2009?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95384 divided by -47692.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/17 (b) -1 (c) 5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53294, -53247, -53190, -53123?\nAnswer: -53046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 61*k**3 + 2*k**2 - 1. Let z be r(1). Suppose -47*v - 4*j - 116 = -51*v, -2*j = 3*v - z. Calculate the remainder when 54 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162, 168, 178, 192, 210?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 821 is divided by 32?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (69 + -64 - (-4 + (-5 - -27))) - 4\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 6973 and 174353\/25 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n - 6. Let q(l) = -5*l + 10. Let k(v) = -3*q(v) - 5*x(v). Let z(b) = -10*b. What is -5*k(u) + 2*z(u)?\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, b: 2, s: 2, v: 2, f: 4}. What is prob of picking 1 b, 1 v, and 1 f?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 8:00 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19152 = -79*b - 23*b + 19560 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 12.4. Let z = v + -3.6. Put 5, z, 3\/10 in decreasing order.\nAnswer: 5, 3\/10, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.971 - -0.029. Is x at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*w - w - 49584. Suppose 2071*n - w*n = 55. Solve -n = 3*f + 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*w - 3*h - 17 + 47, w = 3*h - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230419?\nAnswer: 7, 32917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -12. Suppose -4*w + 24 = p*u, 7 = -5*u + 27. Let g(x) = -x**2 - 3*x**2 + w*x**2 + 3*x**2. Let b(s) = s**2. Give b(g(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*v + 36 = -59*v. Let l = -10 + v. Solve -l*n - 3*c = 6 - 21, 5*n - 5 = -c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3745.162 rounded to the nearest 100?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -111 less than 1412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 7:17 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(7\/6)*f\/(f*f*f*f**(-6\/11)))\/(f**(-11)*f**(-12)) assuming f is positive.\nAnswer: f**(1499\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y + 13*y + 22*y - 24*y. Let v(b) = -2*b + 6. Let k(h) = -1. Let g(s) = 6*k(s) + v(s). Give g(i(r)).\nAnswer: -36*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 at most as big as 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1340 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -800017109\/1158 + 690861. Calculate the common denominator of n and 37\/3.\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -56452 divided by -4.\nAnswer: 14113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 18 = -9. Suppose 4*s = -16 + 592. Suppose -i*y + 36 = -s. What is the remainder when 39 is divided by y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59906889 - -59906870.0000065. Let t = 19 + u. What is t rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*r + 31*r - 68544. What are the prime factors of r?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/((w**6*w)\/w)*w)*w*w**(6\/5)\/w)**(-8\/9))**18 assuming w is positive.\nAnswer: w**(-496\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llz when three letters picked without replacement from zzzzlzzzzzlz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4652)\/(-36) + 2\/(-9). Suppose 2*u = -u + i. What are the prime factors of u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12\/6053 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 67630003 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 114 = -5*k + 6*u, -2*u - 26 = -k. Suppose -20*d = -k*d. Solve d*w + 2*w = 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -4. Suppose -2*p = w*p. Suppose p = -8*u + 3*u. Solve u*f = -2*f - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-32)\/(-6))\/(6\/9). Suppose -j*i = -4*i - 1776. Let y be 1\/3 + i\/18. What is the highest common divisor of y and 150?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2888.1546 months?\nAnswer: 240.67955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1735 divide 60642976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 204.9748 + 0.0252. Let s = 467500183.999899 + -467499979. Let k = s - x. Round k to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114\/57*(79\/(-5))\/((-25)\/(625\/10)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 5*o - 89. Let i be g(-8). Suppose 20*f - 71 - 129 = 0. Solve -f*l = -13*l - i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13770*d - 13772*d + 3*g = 131, -4*d - 267 = -5*g for d.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**5\/8 - 6*n**4 + 189*n**3\/8 + 6*n**2 - 24*n = 0 for n.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 554606 and 10537.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2818 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4277136?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) + 0 + 1*sqrt(50).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from faffcaacaf.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12 + ((-12)\/(-4) - -2) + -2. Suppose 13*i = t*i - 98. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 662981 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, -2, 0.117035, -4, -4\/7, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 8*n**2 + 53*n - 18. What is the tens digit of r(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 6. What is the greatest common divisor of 40 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 6*s - 5. Let g(z) = 166*z + 2 - 42*z - 7 + 115*z. Is 39 a factor of g(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/5)\/(4\/(-200)*2). Let v(f) = -f**3 - 19*f**2 + 21*f + 35. What is the remainder when 163 is divided by v(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30259.53 - 30256.630026. Let b = 231.1 + -234. Let g = j + b. Round g to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2 = -2, 4*s + 3*k = 112. Suppose -62 = -5*h + h + 2*q, -5*q = s. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 12\/(-3 + 8 + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 123 - 310?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**3 - 5*l**2 + 6*l - 1. Let s(j) = -4*j**3 + 4*j**2 - 5*j + 1. Calculate 5*f(a) + 6*s(a).\nAnswer: -4*a**3 - a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.15 + 0.05. Sort 3\/2, -0.3, r in descending order.\nAnswer: 3\/2, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/(-21) - 1\/(-7). Suppose -3*q - 18 = 2*t - t, -4*t = 4*q + 24. Let s(n) = 7*n - 6. Let b(r) = 15*r - 13. Let i(f) = q*b(f) + 13*s(f). What is i(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*h - 1299 = -1257, -2*y = 5*h - 40. Suppose -n + 13 = 2*n + g, -2*g + 1 = n. Solve 4*l - r = y, 4*l + r = 10 + n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 5. Let u be 0\/((4 - 3)*m). What is the nearest to -2 in u, 1, 2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 382*c**2*p**3 - 157*c**2*p + 3*c*p**3 - 29*j*p**3 + 3*j*p**2 - 7*j*p wrt p?\nAnswer: 2292*c**2 + 18*c - 174*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*t - 136391, 125874 = 4*t - k - 10505. What are the prime factors of t?\nAnswer: 2, 17047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -164080126 or 0?\nAnswer: -164080126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24, 26, 106, 228, 404?\n\"Answer: 2*l**3 + 3*l**2 + 27*l - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d + 15 = 0. Suppose 6 = k - d*k. Find the common denominator of -119\/20 and 0 + k - 103\/(-14).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/4)\/(540\/288)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + j**2 + 0 - 4*j + 4*j + j**2 + (-j - j + 5*j)*(2*j + 2*j - 5*j) + (4 - 1 - 1)*(-3*j**2 + 5*j**2 + 0*j**2 + (-3 + 3 + 2*j**2)*(-4 + 3 + 2)).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 394, 312, 92, -332, -1026?\nAnswer: -2056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**2*v**2 + 2*g**2*v - 11795*g**2 + 14148*g*v**2 - g - v**2 wrt g?\nAnswer: 2*v**2 + 4*v - 23590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) 78 (c) -3\/7 (d) 79\/5 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 197 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -116 - -707\/6. Let k = -1\/3 + s. Let y = 0.2 - 1.2. Which is the closest to 1\/3? (a) 0 (b) y (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 10*t = -30 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.093 + 0.093. Let h = 2963\/21 - 141. Which is the smallest value? (a) 8 (b) z (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 224, 518, 924, 1436, 2048, 2754?\nAnswer: 3548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -486 - 3*u**3 + 35*u**2 - 34*u**2 - 36*u - 29*u + 47*u**2 - 70*u.\nAnswer: -3*(u - 9)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2876 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21461453*n - 2001453 wrt n?\nAnswer: 21461453","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrrrrrrcrdrdrr.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n - 3*n - 4*n)*(0*n - 2*n + n) - 2*n**2 - 2*n**2 + 2*n**2 + (-2 - 5 + 5)*(-2*n + 4*n + n)*(-17*n + 13*n - 7*n).\nAnswer: 65*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q - 7*q + q)*(5 + 10 - 3)*(3*q - 4*q + 4*q) to the form r*q + v*q**2 + h and give v.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1704199 weeks in seconds?\nAnswer: 103069.95552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c7ac (base 14) to base 12.\nAnswer: 36204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -20, 0*s - 4*s + 3*v - 5479988 = 0. Round s to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5590758 and 5247?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.00941178 rounded to 2 decimal places?\nAnswer: 28.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 188\/(-46) + (-1220)\/(-14030)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 107223 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 102100 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + 0*l**3 + 2*l**3)*(4*l + 2*l - 5*l) + (2 - 2 + l)*(24*l**2 - 24*l**2 - 4*l**3) + 2*l**2 - l**4 - 2*l**2.\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*(4 + 64\/(-24))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 4:14 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-3) + (-28)\/(-21). What is the hundreds digit of 41\/(-3)*(96\/4)\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z**2 - 6*z + 6. Let v(j) = 4*j**2 + 6*j - 5. What is -4*v(s) - 3*x(s)?\nAnswer: -s**2 - 6*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -80*v + 90. Let s be m(1). What is the closest to -1 in -2\/5, -0.5, 3, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3174 = -3*p + 3*d, -2*d - 2*d = 4*p - 4232. Is 27 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (11 - (24 - 13))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136594481?\nAnswer: 197, 693373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert a566 (base 11) to base 13.\nAnswer: 649c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*d + 13*d**2 + 7*d + 6*d - 3*d**2 to f*d + c + m*d**2 and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247*z + 88 = -255*z. Let i(d) = 12*d + 134. Calculate i(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + k + 15, -3*b = 5*k - 8 - 7. Suppose 2*c = 15 - b. Solve -3*l = -l - 8, c*i + 3*l - 7 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -36?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1431 (base 9) in base 7?\nAnswer: -3103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*l - l. Let b(f) = 3*f - 8 + 7*f**2 + 7*f + f**2 - f**2 - f**3. Let i be b(l). Calculate the highest common divisor of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 30\/91, 4, 174, 2\/13?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 8.\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 2900892?\nAnswer: 2900892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 7:07 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(209))\/sqrt(11) + -5.\nAnswer: -5 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4445246 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.64568 take away 44907.52?\nAnswer: -44906.87432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011 - -100?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3076*u - 4*i = 3079*u - 195, -4*u - i + 88 = -95 - 64 for u.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 6 = -4*s, 2*i - 5 - 9 = -5*s. Let f(x) = i*x**2 + 0 + 0. Let k(d) = -d + 4 - 4. What is k(f(o))?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -896 - -537. Let o = r + 359.0000974. What is o rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13064 (base 7) to base 11.\nAnswer: -2680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x + 4*x - 8*x)*(7*x - 1779 + 11*x**3 + 1779) in the form b + s*x**4 + n*x**2 + g*x**3 + o*x and give n.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 125854?\nAnswer: -125861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88403 and 511.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.065 * 0.817\nAnswer: 0.053105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1415 - -11?\nAnswer: 1430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-747)\/12 - -4)*-4. Find the first derivative of 235*j**4 - 56 - y*j**4 - 8*j - 128 wrt j.\nAnswer: 8*j**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07548 * 2267.\nAnswer: -171.11316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-138) - (1 + 402\/138)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 1 + 0)*(14 + 3*c - 14)*(-4 - 12 - 1) - 11*c - 3*c + 2*c)*(2*c - 4*c + c) - 48 + 14*c**2 + 48 to o*c + t*c**2 + j and give t.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.27558377 rounded to 2 decimal places?\nAnswer: -1.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = t - 548. Let n be 3 + (-2 - t)\/(-2). Let d = 989\/7 - n. Which is the closest to d? (a) -1 (b) 2\/7 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -566 divided by 2?\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 - 3*j**2 + 5*j - 3. Let r(s) = s**3 + 2*s**2 + 3*s + 2. Let h be r(-2). Is k(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(1\/18)*v**(-15)*v**(-5\/3)*v*v\/v**(-3) assuming v is positive.\nAnswer: v**(-191\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 - 43. Calculate the remainder when 5 + (-1415 - 0 - -2)*62\/(-186) is divided by g.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*c**2*z - 49569*c*z + 2*c + 2438528*z wrt c.\nAnswer: 10*c*z - 49569*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/15)\/(42\/27)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2411 + -13331?\nAnswer: -21242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2096 = 22*b - 26*b. Suppose 46*z = 42*z + b. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a factor of 6949222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 15 - 5. Suppose 4*s - m*t - 22 = 0, -2*s = 6*t - 3*t. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(34)\/(sqrt(128)*5 + sqrt(2)).\nAnswer: -3 + sqrt(17)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.007201 micrometers in centimeters?\nAnswer: 0.0005007201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 9 - 24 + 8 + 3*b**2 as q*b + t + o*b**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.08 + 18.08. Sort 4\/3, u, 55.\nAnswer: 4\/3, u, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/5120850 and 109\/40?\nAnswer: 20483400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -40922.2 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8516268, -8516266, -8516264, -8516262, -8516260?\n\"Answer: 2*y - 8516270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l - 24. Let f = 37 + l. Suppose 0 = 4*p + t - 19, 2*p - t - 13 = 2*t. Calculate the greatest common factor of f and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 5470182?\nAnswer: -547018.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 take away 57.5557?\nAnswer: -82.5557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 8. Suppose -29 = -n - w. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14923 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(440) - (sqrt(440) + sqrt(440)*3 + sqrt(440)))\/sqrt(10))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 50198.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28197 + -27888. Is h < 312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6 and 87.37?\nAnswer: 81.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6*r + 10*r = 32248, l = 5*r + 16131. Suppose 27*k = 16*k + l. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 1\/4 (c) 3 (d) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*h - 235*h - 213 = 38*v - 81*h - 81*h, 4*h = -v - 18 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 335 + -320.9. Round y to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 4*n + 7, -4*j - 16*n + 13*n = -24 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -8, -2, 1747, -9, -1 in ascending order.\nAnswer: -16, -9, -8, -2, -1, 1747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37020*u**3 - 63876*u**3 - 2 + 2.\nAnswer: -100896*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -103?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p - 91. Let g be d(24). Which is the closest to -1? (a) -1\/2 (b) g (c) -0.008\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1129630 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*x + 39 - 17 = 0, -4*d - 5*x = 41. Let w = 9 + -7. Let o be 1\/w*(-10)\/(-1). Put -1, d, o in descending order.\nAnswer: o, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 487*y**4\/4 + 24*y**3 - 2*y - 276. Find the third derivative of d(p) wrt p.\nAnswer: 2922","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -9*z**2 - 2095*z + 10461. Determine w(5).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**5\/3 + 21*t**4\/2 + 25*t**3\/6 - 173*t**2\/6 - 7*t\/2 + 49\/3 = 0. What is t?\nAnswer: -7, -2, -7\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 2040 = -2*a - 2030, 2*a - 10 = 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(3) + (5 + sqrt(3) + -1)**2)) + sqrt(3) + 1*sqrt(192) + (sqrt(15)*1 - sqrt(15))\/sqrt(5) + -2 + -3)*-2.\nAnswer: -2*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 131*s**2. Let j(m) = -2*m**2 - 21599*m + 21599*m. What is o(j(a))?\nAnswer: 524*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2290414 + 3?\nAnswer: -2290411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -256085, -256168, -256243, -256310?\n\"Answer: 4*n**2 - 95*n - 255994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 g, and 1 h when four letters picked without replacement from hmgguomzommmmmom.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -387.3 + 368. Let o = q - -19.27108. Let r = -0.03 - o. Round r to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000021385 to 7 dps.\nAnswer: 0.0000214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 118318393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 364.623 * 0.3\nAnswer: 109.3869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*q**2 + 241*q - 130*q - 111*q.\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1\/5 (b) 5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378 divided by 7.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -13002875\nAnswer: 6501437.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 3:43 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1274\/(-117) + 11 - -1*(-1)\/(-1).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -2 (c) -1.261 (d) 9\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4)*(3 - -5). Let m = 8 - 3. Which is greater: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**7\/18 + 107*z**6\/90 + 116*z**5\/15 + 157*z**4\/9 + 8*z**3 + 6904*z. Find w, given that j(w) = 0.\nAnswer: -9, -4, -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*k + 6 = -0, 0 = -4*y + 4*k. What is the least common multiple of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8565093 a multiple of 629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 842*a - 172615. Let q be s(-489). Let 0 + 4\/5*v**3 - v + 19\/5*v**q = 0. What is v?\nAnswer: -5, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2359, -4713, -7063, -9409, -11751, -14089, -16423?\nAnswer: -18753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 114 - 21740461?\nAnswer: -21740346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 63588599 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggaqaaagaaqscag. What is prob of sequence qg?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -2\/11 (c) 2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2882, 2718, 2542, 2348, 2130, 1882, 1598?\n\"Answer: -z**3 - 157*z + 3040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 + 124*v + 1833. Determine n(-37).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b7 - 0?\nAnswer: -1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4183446*k**4 + 25100679*k**3 + 50201370*k**2 + 33467604*k + 24 = 0.\nAnswer: -2, -1\/1394482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -563646\/13 or -43356?\nAnswer: -563646\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 9*x - 9. Let i be g(5). Is 2\/i - 19005\/(-77) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1314713616 to the power of 1\/2, to the nearest integer?\nAnswer: 36259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43 + -61a?\nAnswer: -662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) 3 (c) -37.3 (d) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 410*a**3 + 0 - 2.\nAnswer: 410*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 9*g**2 + 105*g - 3876. Give x(13).\nAnswer: -990","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 3*k + 3. Let v be (1 + 1)*6\/4. Let p(g) be the second derivative of g**4\/4 + 4*g**3\/3 - 4*g**2 + 10*g - 1. What is v*p(f) + 8*m(f)?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = m + 5*x, m + 161*x - 76 = 146*x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1947826?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 + 16)*3\/9. Solve 27*c**4 - 392 - 506*c**2 - 840*c + 45*c**4 - 60*c**k - 74*c**4 = 0 for c.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 - 567*d + 15. Let z(r) = -6*r**2 + 1700*r - 50. Let h(i) = -10*b(i) - 3*z(i). Let f(w) = 11*w. What is f(h(q))?\nAnswer: -22*q**2 + 6270*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2229.8 - 2446. Let p = 199 + b. Round p to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 28.34336 nanometers?\nAnswer: 0.000002834336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 8:45 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(-9)\/(-6)*-2. Suppose w + 3 = -2, 3*w = -5*j - 10. What is the highest common divisor of d and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 2 = i, -22 = -k + 5*i. Let j = -73 + 73. Suppose -8*y + 10*y = 5*l - 220, -2*y = j. Calculate the remainder when l is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (6*-3*((sqrt(500) + -1)*1 + sqrt(500)) - (1 + sqrt(500) + 4 + (sqrt(500) - -2*sqrt(500)*1 - sqrt(500) - sqrt(500))))**2.\nAnswer: -9880*sqrt(5) + 722171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*u**3 + 2*u + 2*u**2 + u + 1389 - 2*u**4 - 3*u - 1388 to the form o*u**4 + z + w*u**3 + v*u + x*u**2 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u + 2. Let a(n) = 4*n + 12. Let i be a(-3). Suppose -3*q - 12 = 3*k, i*k - k + 41 = -4*q. Let w be h(q). What is w rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 72, 114, 156?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14063829 smaller than 14063829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 5*w**2 - 6*w + 2. Let y be p(-6). Factor 6 - 338*m**y + 336*m**2 - 4.\nAnswer: -2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 124720 and 41760.\nAnswer: 65103840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 + 8*z. Let i(m) be the third derivative of -m**6\/120 - 7*m**4\/24 - 7*m**2. Give -3*a(n) - 4*i(n).\nAnswer: -2*n**3 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3.1. Let z(k) = 2237*k - 11188. Let i be z(5). Which is the fourth smallest value? (a) h (b) i (c) -13 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 4*k - 3. Suppose 4*u = n - 11, 25 = 3*n - 3*u + 1. Let x be j(n). Calculate the highest common divisor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 5\/12*h**4 + 0 - 2*h + 1\/20*h**5 - 3\/2*h**2 + 1\/3*h**3. What are the prime factors of n(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -6. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1622 = -255*t - 2203 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzjb when four letters picked without replacement from zqjzhbz?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 - 6*b**3 + 1231*b**2 + 22596*b + 70560.\nAnswer: -(b - 40)*(b + 4)*(b + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 6:43 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**4 + 0*v**4 - v**3 + 285*v**2 - 2*v - 289*v**2 to h*v + z*v**4 + k*v**2 + n + u*v**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 729 and 902988?\nAnswer: 2708964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -24. Let q(r) = r**2 - 7*r + 4. What is q(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/4 and -63\/454492.\nAnswer: 454492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewee when four letters picked without replacement from {v: 5, w: 1, e: 3}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -197084164, -394168329, -591252494, -788336659, -985420824?\n\"Answer: -197084165*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**3 + 51782*o**2 - 51784*o = 0.\nAnswer: -25892, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.8 + 2. Let o = 5.4 - 5. Let w be (-5 + (3 - 0))\/((-5)\/(-10)). Which is the second biggest value? (a) j (b) o (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.13470772 and 5?\nAnswer: -0.6735386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 10. Solve 2*i + q = -3*x - 4, -8 = 2*i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/15276 and -64\/311885.\nAnswer: 3742620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = b - 470. Suppose -b = -4*l - l. Suppose 0 = 3*d + 3, h - 59 = d + l. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 9 + -12 + (8 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 12 = -10. Suppose 0 = -5*b + 5*n + 45, -1 - 2 = 3*b + 3*n. What is the lowest common multiple of q and b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7 and 13.361 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/7))**(2\/19) assuming m is positive.\nAnswer: m**(-6\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2 + 2 + g**3 + 4*g + g + 1. Let x(i) = -i + 7. Let s be x(3). Is f(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5)\/p**(-4\/9))**(-2\/121)\/((p\/((p*p*p**(-2\/9))\/p))**(-3\/17))**(2\/89) assuming p is positive.\nAnswer: p**(-107728\/8238285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3582 = 12*g + 3582 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) -3\/7 (c) 3 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18209 + 1566 + 18323 - 6626 = 281*h for h.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-52) + (-30)\/(-26). Let s be 53 + (v - 8\/2). Is (-18)\/12*s*-1 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s - 2. Let x(v) = 110*v - 45. Let h(w) = -45*l(w) + 2*x(w). Let k(m) = -4*m**2. Determine h(k(t)).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-15)\/h*h)\/(h\/(h\/(h\/(h\/h**(-19))))))**(1\/34) assuming h is positive.\nAnswer: h**(2\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.07, 0.3, 3, 13653?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -82*h**3 - 72*h**2 + 2*h + 2. Let j(c) = -c**2 - c - 1. Let b = -387 - -389. Let t(m) = b*j(m) + g(m). What is the third derivative of t(z) wrt z?\nAnswer: -492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence php when three letters picked without replacement from ppbhppthht.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from {e: 3, f: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -12, -15*p + 1748 = 2*p + 5*b. Calculate the remainder when 754 is divided by p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75111, 75139, 75167?\nAnswer: 75195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 145*t + 206. Let x be u(7). Suppose 3*b = 1227 - x. Let y(i) = -1. Let z(s) = -2*s**2 - 5. Give b*y(m) - z(m).\nAnswer: 2*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g - 34. Let m be p(-18). Find the third derivative of -6*x**m - 1 + 2*x**2 - 41*x**2 + x**2 + 9*x**3 wrt x.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, q: 1, f: 1, s: 1, j: 1}. Give prob of picking 1 j, 1 q, and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -2*d**4\/3 - 7*d**2\/2 + 2*d. Differentiate n(t) with respect to t.\nAnswer: -16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/292039 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 4*h - 3*h + (5 + 4 - 4)*(-2*h + 2*h + 3*h))*(-h - 2 + 2) + 298*h**2 - 1 + 236*h**2 - 292*h**2 - 3*h.\nAnswer: 226*h**2 - 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*g + 53*v + 35*v - 85*v = -1518, 3*g - 2*v = 28 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -4. Let b(k) = k + 6. Let f be b(w). Let m(s) = 5*s - 1. What is m(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -93722*m*y + 2784*y wrt m.\nAnswer: -93722*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 2*f - 4*v + 4408, 3*v = -4*f + 4406. Calculate the greatest common divisor of 330 and f.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32436 divided by 901.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*t + 22*t + 19*t - 90*t**3 to the form a*t + h*t**3 + q + k*t**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 22. Is p less than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 267408 = 267397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 56 + -59 + -19\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 28\/3 of a minute?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121593 divided by -1013.\nAnswer: 121593\/1013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 7\/890 (c) -4 (d) -97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/20)\/(5\/(60\/(-9))).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8*z**2 - 9. Let j(i) = i**2 + 1. Determine 18*j(v) + 2*r(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16154*m + 15864*m = 9860 for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 16 + 5 + j - 16 to a + y*j and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 39.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -41, -79, -115, -149, -181, -211?\n\"Answer: v**2 - 41*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11594 and 3735314.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -710*y**2 - 780*y**2 + 1383*y**2 + (-2 + 2 + 2*y)*(-2*y + 0*y + 3*y).\nAnswer: -105*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234357 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -99*g**2*k**3*z + 2*g**2*k**2 - g**2*k*z + 15*g**2*z + k**2*z wrt k?\nAnswer: -594*g**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 smaller than 700\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 2 + (-4 + 4 + 1)*(-4 + 2 + 0) - 6 + 4 + 3)*((4 + 0 - 3)*(-2*s - s + 4*s) + 3*s + 2*s - 3*s) - 13*s + 2*s - 2*s.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 - 1. Suppose 2 = 3*z + 14. Let f be (z - -5)\/((-15)\/(-6)). What is the closest to f in 0.1, h, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 2*b - 7. Give g(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342275.\nAnswer: 5, 13691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 15 = 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5*(sqrt(133) + 2*sqrt(133)) - sqrt(133))*-1)\/((sqrt(112) - (sqrt(112) - -1*sqrt(112)) - sqrt(112))*3*-2) + -5.\nAnswer: -5 + 7*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 5. Let w(n) = 7*n - 218. Calculate 6*r(t) + w(t).\nAnswer: t - 188","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*x**4 + 2*x - 2*x**2 + 2*x**3 - 2*x**2 + 9*x**4 + 3*x**2 as d*x**4 + i*x + l + k*x**2 + r*x**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -964*f - 13 - 131 = -928*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4280\/840 - (-4)\/(-42) - 0. Solve 6 = 4*y - h + 3*h, 0 = 2*y + s*h - 23 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**4 + 3*v**2 - 7*v - 1. Let d(p) = -270*p**3 + 11*p**2 - 37*p - 4. Let o(g) = d(g) - 3*z(g). What is the second derivative of o(y) wrt y?\nAnswer: 36*y**2 - 1620*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-32))\/((-5)\/(50\/(-5))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0 + 0)*(-8 - 30 - 8)*(130*k**3 - 130*k**3 - 49*k**4).\nAnswer: -2254*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 300183 (base 9) in base 11?\nAnswer: 111235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 22584088*a + 63755128848968.\nAnswer: 2*(a - 5646022)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - -2) + -87 + 102?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227885.\nAnswer: 5, 7, 17, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41295.17043 + 41295. What is i rounded to 2 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 8*p**2 + 12*p - 13. What is the smallest common multiple of 26 and f(9)?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -394 or -478.993?\nAnswer: -394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g + 0*g + 0*g)*(7 + 6 - 4)*(-1 + 4 - 1) + (-4 + 3 + 2)*(-2*g - g + g) - 4*g + g - g to the form t*g + p and give t.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/4750 and -37\/1372864.\nAnswer: 171608000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79733998?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 10) to base 13\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/5 + 4 + 6 + -6. Let x = -0.43 - -1.43. Which is the closest to 0.2? (a) o (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, p: 1, j: 5}. Give prob of sequence jpjj.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*p = 0, -7*p + 8 = 3*r - 2*p. Which is the fourth biggest value? (a) -2\/5 (b) r (c) 6 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*v = -110*v - 4250 - 4687 for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5216 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3372, -13111, -29356, -52101, -81340, -117067?\n\"Answer: m**3 - 3259*m**2 + 31*m - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 1515 in decreasing order.\nAnswer: 1515, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(8) + -5 + 3 + 1 + (sqrt(108)*-2)\/sqrt(6).\nAnswer: -10*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1789590483?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 j when four letters picked without replacement from jjonoouoeo.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(8 + (9\/18 - 1))\/(-3). Let f(q) = 8*q**2 - 2*q - 2. Let r(p) = -17*p**2 + 5*p + 5. Calculate s*f(v) - 6*r(v).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 139675 to the power of 1\/2, to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 30 = 2*x, -l - 4 = -0*l. Suppose x + 33 = 3*h. What is the least common multiple of h and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*j - 182 + 224 = j, 4*j = 0. Solve 13*r = i*r - 14*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -27. Suppose 3*g - 5*m - 18 = -g, -2*g - m + 16 = i. What is the highest common factor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 602*b - 116. What is the thousands digit of a(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 + 104*b**2 - 184*b - 23282. Calculate l(-49).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79aa (base 14) to base 13.\nAnswer: 97ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -4. Suppose g + q*v + 7 = 0, -5*g + 5 + 0 = 2*v. Suppose -g*m - 1 + 7 = 0. What is the remainder when 5 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134 (base 5) to base 11\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 11*q + 7. Let h(x) = -6 - 5*x + 4*x - 4 - 2*x. Let s be h(-7). Let b be j(s). What is the highest common factor of b and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37078 is divided by 103?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, 24, 180, 514, 1086, 1956, 3184?\nAnswer: 4830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvt when three letters picked without replacement from xtfxtttttttvt.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 5*z - 4, -13 = -2*u + 4*z - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218788031?\nAnswer: 7, 11, 67, 42409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.27 + 0.03. Let w = -2\/17 + 40\/51. Which is greater: f or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10120037 - 10120037 + 3*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x**3 + 259*x**2 - 4. Let z(y) = -2*y**3 + 130*y**2 - 2. What is 6*k(q) - 11*z(q)?\nAnswer: -2*q**3 + 124*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36 - -20 - -5 - 2) + 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -6*r**3 + 27\/2 - 159\/4*r**2 - 81\/4*r = 0.\nAnswer: -6, -1, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-588 + 533 - 456)*(1 - 1 + 2)*(-12*t**4 - t**4 + 7*t**4) as a*t**2 + x*t + w*t**3 + u + j*t**4 and give j.\nAnswer: 6132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.6, -0.4, -1\/6, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 3*r - 6*r. Let g = 557 + -430. Calculate the remainder when g is divided by r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -16\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 3:12 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13248 - 13247.999989651. What is w rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 divided by -32?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w**2 + 0*w**2 - w**2)*(5*w + 0*w + 0*w) + (-2*w + 2*w + 2*w**2)*(-15*w - 37*w + 10*w) in the form r + a*w**2 + d*w**3 + o*w and give d.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 828 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -67 - (-190 - -102) - (7 - (0 - 1)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*u**2 - 138*u + 25*u - 13*u**2 + 3*u**2 in the form d*u**2 + b + r*u and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, d: 2}. Give prob of sequence dbd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/(-31)*(-1150)\/184 + 18\/(-8)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13066 + -13062. Let n(t) be the third derivative of 0 - 29\/6*t**3 + 0*t + 1\/8*t**q + 5*t**2. What is the first derivative of n(d) wrt d?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.26 - 9.56. Which is greater: -3 or i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -35. Let p = 4800.2 - 5519. Let o = p - -719. Which is bigger: m or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*l - 233 = 6*p - p, -3*l + 18*p = 13*p - 17 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a**3 + a**2 + a - 2. Let r(m) = 6*m + 75. Let b be r(-11). Let h(x) = 21*x**3 - 5*x**2 - 5*x + 9. Give b*s(c) + 2*h(c).\nAnswer: -3*c**3 - c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5186\/21 + -247. Sort -2, l, 2, 5 in increasing order.\nAnswer: -2, l, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 + 4*o - 7. Let p be g(-3). Suppose -p*h - 22 = 10. Is 1*(2 + (-1164)\/h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.24059 + 267?\nAnswer: 259.75941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*h = f - 142*h + 9, 10*f + h = 24 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40 in -3\/7, -0.106, 11, -2\/9, 5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 679.832032\nAnswer: 680.232032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + l - l)*(-59*l - 18*l - 128*l)*(-20*l**2 - 661 + 661).\nAnswer: 8200*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 7*f - 8. Let w be n(-6). Suppose -3*d - 3 = -12. Let g be (d\/10)\/(54\/(-24)). Which is smaller: w or g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*p - 1)*(5 + 0 + 22)*(-p**3 + 2*p - 2*p).\nAnswer: 108*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5805*n**2 - 226 + 3547*n**2 - 227 + 453 in the form d*n**2 + m + y*n and give d.\nAnswer: 9352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -499875\/64 - -7812. What is the common denominator of 99\/100 and g?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/m**(1\/5))\/m*m*m)\/(m*m\/(m*m*m*m**(-2\/23))))\/(m**(-1\/5)\/(((m\/(m*((m*m**(2\/9))\/m)\/m))\/m)\/m)) assuming m is positive.\nAnswer: m**(557\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - 102?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52.145 + -0.145. Let x = 51.5 - g. What is the biggest value in x, -25, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, 1\/3, 4\/5, 24, 1, 9?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 40046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 546 and (-30)\/(-14) + (-2)\/14 - (-306 + 98).\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95160.67 centuries in decades?\nAnswer: 951606.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from hqcmmcmuumcm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/105426670 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 14 = g + q, -5*q = 5*g + 5. Let p(v) be the third derivative of 35*v**4\/24 - 11*v**3\/6 + 2*v**2 - 8*v. What is the hundreds digit of p(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 0.32 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/6*((-21)\/(-14) - 0). Let w be -4*x\/(-30) + 34\/6. Let -3\/2*s**w - 3\/2*s + 6*s**2 + 0 - 9*s**3 + 6*s**4 = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -30*p + 493. What is k(16)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -306.09 - -306. What is j rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (0 + (1 - -2)) - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 w when three letters picked without replacement from jcacwww?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 652 divided by 5106.\nAnswer: 326\/2553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 7*w - 3. Let r(c) = 15*c - 7. Let z be (-47)\/(-15) + 14\/(-105) - 54. Let h = -57 - z. What is h*r(o) + 13*g(o)?\nAnswer: o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j**2*p - 633*j*p**2 + 1798*p**2 + 1 wrt j?\nAnswer: 4*j*p - 633*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eighteen fifths of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23546\/1113 or 22?\nAnswer: 23546\/1113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (42930\/(-81))\/((-1)\/(-2) - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15655 and 620?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(3 + 0) + (1 - 1). Let j be (24\/16)\/(r\/2). Do j and -16\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*1 + sqrt(68))*6)\/sqrt(4).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 8 - 27*b - 4.\nAnswer: -27*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0146 or -624.6?\nAnswer: -624.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 - -69.94. Let p = 0 + 0.06. Let g = y + p. Put -0.3, 1, g in decreasing order.\nAnswer: g, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.112004363 rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20682292 and -4.\nAnswer: 82729168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*t - 21 + 75, -5*o + 15 = 0. What are the prime factors of t\/4*(-5)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 3*j**2 + j - j - 1 to the form n*j**2 + y + g*j and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1905832939 from 0.23.\nAnswer: 1905832939.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 + s**2 - 16*s**4 + s**4 + 9*s**4)*(22*s + 36*s - 12*s) + (s**3 + 2*s**5 - s**3)*(2 - 2 + 2) - 5*s**5 + 3*s**5 + 0*s**5.\nAnswer: -274*s**5 + 92*s**4 + 46*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 348, 682, 1016, 1350, 1684, 2018?\n\"Answer: 334*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**4\/8 - 5*i**3\/6 - 11*i**2. What is m(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**5\/60 + n**4\/2 + 5*n**3\/3 - 3*n**2 + 150*n. Suppose m + 36 = -2*m. Calculate b(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y + 2. Let k be (0 - 1\/(-7)) + 2400\/840. Give j(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143354 (base 9) to base 10.\nAnswer: 87772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -365*j**3 - 4563*j**2 + 56944368*j?\nAnswer: -2190*j - 9126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**5\/30 + c**4\/6 + 389*c**3\/6 - 5*c**2 + 3*c. What are the prime factors of z(0)?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (5 + -1 + -3 + -7 - -12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5424, -10839, -16254, -21669, -27084, -32499?\nAnswer: -37914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4315*a - 70. Let x(q) = -2157*q - 28. Give 5*x(b) - 2*z(b).\nAnswer: -2155*b","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 6*f**2 - 5*f - 1. What is k(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*j. Suppose 0 = w - 5*q + 25, -3*w - 576*q = -577*q - 9. Solve w*s = m + 11, j = 5*m + 4*s - 2*s - 26 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(100)\/sqrt(4)*-1)\/(sqrt(20)*-5) - (3 + 1*(-2 + sqrt(20)\/sqrt(4))))*3)**2.\nAnswer: 81*sqrt(5)\/5 + 909\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**4\/12 + 5*l**3 + 29*l**2\/2 + 6776*l. Suppose j(t) = 0. Calculate t.\nAnswer: -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7874, 7671, 7100, 5975, 4110, 1319, -2584, -7785?\n\"Answer: -31*x**3 + 2*x**2 + 8*x + 7895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37571, 150276, 338113, 601082, 939183, 1352416?\nAnswer: 1840781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*s + 3. Let n(v) = -v + 22. Let g be n(s). What is the remainder when 61 is divided by 1 + 14 + 15\/g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 10:01 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (625\/75)\/25*(-39)\/1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4754275?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -44, -56, -68?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t - 5*t + 6*t**3 + 10*t)*(-2*t**2 + t**2 - t**2).\nAnswer: -12*t**5 + 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 327879.9 millennia?\nAnswer: 32787990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 5*o - 1. Let x be n(-4). Suppose -x*c = c. Suppose s - 7 + 3 = c. What is the greatest common factor of s and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (1 + -2 + (4 - (7 - -2)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 d when four letters picked without replacement from rdccdrdcrdrrcicdcrcd?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -183\/5 + 37. Let x be 0 + 1 - (-7)\/(-5). Let l = x + 16\/15. Which is the closest to u? (a) 3 (b) l (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 45 = -5*j, -2*j + 4 = -4*l + 2*j. Suppose -l*r = -6*r + 8. Suppose n - r*n = -126. Does 21 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 634476.9 centimeters to nanometers.\nAnswer: 6344769000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27122 - 20070.2. Round y to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2 + 3. Let d be (-10)\/30 - 7\/(-3). Let z(c) = 10*c**2 + 10. What is d*z(t) - 7*j(t)?\nAnswer: -t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2270217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 613137089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38335\/4 smaller than 9585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2201*m + 3617. Is l(82) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 1\/3, -11, 4, -4, 0.01 in decreasing order.\nAnswer: 4, 1\/2, 1\/3, 0.01, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -12*y**2 + 2*y - 1. Let j = -313 - -114. Let d = -198 - j. Calculate v(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -524\/3003 - 2\/273. Let x = -125 - -125.87. Let w = x + -0.37. Which is the second biggest value? (a) -1\/2 (b) i (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -117, 71, 383, 825, 1403, 2123, 2991?\n\"Answer: g**3 + 56*g**2 + 13*g - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3074 * 545\nAnswer: -1675330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - ((-3549 - -3515) + (-2 + -1 + 5 - 10)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**5 - 380042*v**4 - 18053420100*v**3 + 54172041872*v**2 + 397191205184*v - 433309446912 = 0?\nAnswer: -95012, -4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3307153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 + 54*i + 1072. What is f(-13)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 8) + -9 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61460086.\nAnswer: 2, 109, 281927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -71290, -3, -4 in descending order.\nAnswer: -3, -4, -71290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 2*n - 3. Let t be (-4)\/((-8)\/10) + -1. Give j(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 3:12 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 2. Suppose -4*b + 8 = j*v, 3*v = 3*b + 7*v - 6. Let g be (1\/(-14))\/(3\/(-36)). Is g < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4298649*q**3 + 8*q + 1709907 wrt q.\nAnswer: 25791894*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*3.72.\nAnswer: 0.0744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1520, -6097, -13722, -24395, -38116?\nAnswer: -54885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 1:18 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x - 2*x**2 + 4*x)*(-11222*x**3 + 0 + 11223*x**3 - 101*x**2 - 2).\nAnswer: -2*x**5 + 202*x**4 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 16200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 6*j**2 - 2*j + 2. Let b be d(-6). What is the units digit of (4\/b)\/(2\/14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 5, -5, -1\/6, -1, 1 in ascending order.\nAnswer: -5, -1, -0.3, -1\/6, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1218, 4170, 8856, 15276, 23430, 33318, 44940?\nAnswer: 58296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*c - c. Let k = c + 23. Let z = -4 + k. Solve 0*d = z*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 n when three letters picked without replacement from njnjnnjjnnjjnjejn.\nAnswer: 28\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*o - 4*o + o**4 + 2*o**4 + 4*o**4 wrt o.\nAnswer: 84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i + 10*i - 1 + 4 - i**2.\nAnswer: -i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**3 - 4. Let x be b(4). Suppose -2*m - 3*m + 106 = 3*o, x = 5*o - 3*m. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 15 = -5. Let q = 6 + u. Solve w = 2 + q, 5*w - 27 = 4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11577359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 4*r**2 + 6*r + 7. Let l be x(5). Suppose -j = j - l. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 31?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 12 + (19 - (19 - -5 - -19)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 815 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25090800 and 1827?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*m + 727 + 1 = -411 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655729?\nAnswer: 67, 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12186491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*r = -0*b + 198, 212 = b - 2*r. What is the remainder when b is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 66*i**2 - 731*i + 1092. What is o(-16)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1311 by -19.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 + o - 3. Let m be b(3). Suppose -3*y + m + 0 = 0. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 + -12)*(-4)\/10. Let d be s\/4*-4 + 2. Let y = 2 - d. Solve 2*f = -y*f + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r + 53. Let w be k(9). Suppose w*x + 16*x - 99 = 0. Solve 5*o + m = 25 - x, 10 = 2*o + m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13866442 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12439.59 - -11215.0128. Let y = 1225 + a. Round y to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -388*k - 5164 - 656 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15623, 15636, 15713, 15860, 16083, 16388?\n\"Answer: c**3 + 26*c**2 - 72*c + 15668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/4 (b) 1\/3 (c) -123\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7579666 rounded to 2 decimal places?\nAnswer: 2.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -4.715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 65\/39*(-6268)\/10. Let z = -1035 - c. Find the common denominator of z and 53\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 27\/2 of a week?\nAnswer: 2268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113383820?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 + 51237594*k - 218774253242403.\nAnswer: -3*(k - 8539599)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-5100)*120\/8.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 1. Let c(p) = p + 14. Let a(t) = -3*t - 57. Let n(s) = 2*a(s) + 9*c(s). What is 12*g(v) - n(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -146*w + 182*w + 468 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a day in minutes?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + ((-6)\/57 - 1794\/(-437)). Are -28\/349 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10 + -22)\/(-3 - -4). Let d be 10*3 + -2 + n\/(-12). What is the highest common divisor of 2 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 46335, 92670, 139005, 185340?\n\"Answer: 46335*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3019 = -7*k + 64713. Is k a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -527034 bigger than -527033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*((-1921416)\/(-16))\/(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*b + 4*b**3 + 143*b.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -10181*d**2 + 20375*d - 22. Give w(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7)\/3)\/(3\/(-9)). Let m(b) be the second derivative of b**5\/20 + b**4\/3 + 11*b**3\/6 - 5*b**2\/2 + 3*b - 984. Is m(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*o - 6*o**3 + 7*o**2 - 240*o.\nAnswer: -6*o**3 + 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(24\/(-27))*-2. Let k = b - -65. Is k a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - u + 2. Let a be c(0). Suppose 7 + a = 3*g. Let h**2 + h**2 + 6 - 8*h**2 + 3*h - 3*h**g + 0*h**2 = 0. Calculate h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11856.21 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -62 - 43 - 3*f - 18*f - 165 + f. Let u be j(-29). Calculate the highest common divisor of u and 186.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-7 + 12)) + 2 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -2*p + n, 4*p - 5*p - 4*n - 9 = -2*n - 54 - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -288908, -577807, -866694, -1155569, -1444432?\nAnswer: -1733283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45805.392 - -45753.3920045. Let w = o + 52. Round w to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 74 in -1.92, 11, 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2849 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*v + 4*a + 42, -13 = v - 5*a + 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 2*v + 7*t = -34, 115*v = 113*v - 2*t - 32 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 3*j**2 - 2*j + 4. Suppose 24 = -0*l + 3*l. Let t = l + -4. Is 12 a factor of q(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140\/(-910) + 284676\/13 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -3 (b) 75 (c) 112 (d) 1\/3 (e) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 4, -523\/3, -0.4, -163\/5, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -146994 divided by -136\nAnswer: 73497\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3335, 11055, 23933, 41969?\n\"Answer: 2579*n**2 - 17*n + 773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7555912?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*n = 20, 14 = -3*t + 5*n - 11. Which is the second biggest value? (a) t (b) -1\/6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b = -5*o - 6118, -30735 = -5*b - 4*o. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8.9 in -3\/7, 4\/5, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 less than 455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*y + 588*y - 123*y - 117*y - 124*y - 122*y.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 2*j - 7. Let p be g(-5). Suppose -2*h + 3*h = 4*i + 4, i - 2*h = -p. Suppose i = -f + 5*f - 56. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -118*y**4 - 6*y**3 - 6*y - 9.\nAnswer: -1416*y**2 - 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**3\/12 - c**2\/2 - 8*c + 110. What is m in p(m) = 0?\nAnswer: -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 421328 and -51.\nAnswer: -21487728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/4 and 41\/85510.\nAnswer: 171020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1514.\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 5*z - 208 = -3*l + 2*z, -12*l = -15*l - 68*z + 4364 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 + -29. Let y = l + -11. What is the highest common factor of y and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -285, -292, -311, -348, -409, -500, -627?\nAnswer: -796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + (-1*sqrt(2736))**2 - (sqrt(19) - (sqrt(171) + -4)))*6 + (-1 + (sqrt(1539) + 1 - sqrt(1539)) + (sqrt(171)*3 - sqrt(19)))**2.\nAnswer: 84*sqrt(19) + 17608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/13)*y)\/y**3*(y**(-5)*y)\/(((y\/y**(-12)*y*y*y)\/y)\/y))**(16\/3) assuming y is positive.\nAnswer: y**(-4208\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 11:18 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -a24882?\nAnswer: a2487b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 3 - 8 + 7 - 2*o**4 + 13*o**3 - 2*o**2 as j*o**2 + f*o**4 + b*o**3 + t*o + x and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*g**3 + 67*g**3 + 51*g**3 - 122*g**3.\nAnswer: 23*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*w = 451*w + 9357 - 11877 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.9 - 2.78. Let q = 49005 - 49005.120006. Let b = q + r. Round b to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 5*y**2 + 5*y - 2. Let i(s) = 7*s**2 + s - 2. Let x be i(-1). Let m be v(x). Solve -7 = 3*r - m*n, r - 4*n = n + 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 6. Let g be 2\/8 + f\/8. Solve g*d + 4 = -2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**5 - 5*f**5 - f**5 + (-2*f**3 - 2*f**3 + 2*f**3)*(3*f - f**2 - 3*f) - 81*f + 81*f - 6*f**5 - 7*f**5 + 7*f**5 - 2*f**5.\nAnswer: -9*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + -652)*65741\/(-1167)?\nAnswer: 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-184)\/(-28) - 8\/14. Let y be 5\/d - -3 - 2. Let c = 4\/3 - y. Is 0 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 5*p**2 + 6*p. Let f be u(-6). Let i be (-1)\/3 + 8\/(-3). Let b = i - -6. Solve f*q + 12 = -b*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 138031 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 218254 and 63829?\nAnswer: 2059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 18*x**2 - 27*x.\nAnswer: -3*x*(x - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-882)\/98*2\/24?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 712291 is divided by 951?\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.000055 + 9. Round l to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/8*(-6)\/3. Suppose g*l - 23 = 2*f, 3*l + 5*f = 10 + 10. Solve -3*m + 3*q - 9 = 0, 0*q + l = -2*m + q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*o, -o = -5*n - 0*n + 175. Suppose -3*i = -2*b + 12, 2*b + 2*i = -i + 36. Calculate the highest common divisor of b and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide (7\/(-4))\/(-5 + (-11817)\/(-2364))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40770\/126 + (-10)\/(-7) + -1. What is the greatest common divisor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 258017, 258009, 257987, 257945, 257877, 257777?\n\"Answer: -q**3 - q**2 + 2*q + 258017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 11:47 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 261330340483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from ommoonmozzoorn.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - p**2 + 2. Let o be i(0). Let j be (-100)\/(-30)*12\/5. Suppose j = o*k - 2. Calculate the greatest common factor of 55 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6797 is divided by 478?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.97 + -0.97453. What is i rounded to four dps?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 171 + -169. Suppose -t = 54*k - 55*k. Let g(y) = -y**2 - 8*y + 3. Let v be g(-8). Solve -k*f = -p - v*f + 1, 4*f = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -0.2, -8207?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 192894, 771518, 1735892, 3086016?\n\"Answer: 192875*z**2 - z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/2)\/(21\/84 - 97\/392). Solve -10*z = -c + 136 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -13)*7\/((-28)\/9).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**6\/165 + q**5\/10 + q**4\/33 - 92*q**3\/33 - 120*q**2\/11 + 5507*q. Let f(l) = 0. Calculate l.\nAnswer: -10, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10328 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/(n**(3\/7)*n)))**8)**(-12)\/(n**(1\/7)\/(n**(-1\/2)*n)*(n\/((n*n**(-1)*n)\/n*n))**(8\/9)) assuming n is positive.\nAnswer: n**(-571\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 - 77. Suppose -f*j + 3 = 2*a - 33, 5*j - 25 = 0. Let z = -6477 + 58355\/9. Find the common denominator of a and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 14 = -6*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(((-1500)\/2500)\/((-6)\/50))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 310685225 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/42 and 91\/54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 1. Suppose -3*y = 2*y - 2*u + 4, 2 = -y + u. Let g = -19\/14 - -6\/7. Which is the third smallest value? (a) g (b) f (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbzp when four letters picked without replacement from {p: 3, b: 6, z: 8}?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -222795*c + 5010. Let k be t(18). Round k to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s - 6. Let j be u(-1). Suppose -c + 2487 = m + c, j = -c - 4. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255*d + 5 - 4 + 627*d.\nAnswer: 372*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -876010, -875799, -875450, -874963, -874338?\nAnswer: -873575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 + 2 - 4 + 3 - 76*c**3 - 3*c**4 + 66*c**3 as n + u*c**4 + b*c**2 + t*c + v*c**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 + 193*r - 298. Let t be w(-66). Let p(h) = -h**3 + 31*h**2 + 34*h - 80. Give p(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*sqrt(432)*2 + sqrt(432)) + 5*(2 + sqrt(9)\/sqrt(3) + (-1*sqrt(3) - sqrt(3)) + -2) + 1.\nAnswer: -257*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/6 + 72\/(-108). Suppose -p*w = -12*w + 1737. Does 23 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x**4 + 628*x**3 + 56*x**2 - 4444*x + 3768 = 0.\nAnswer: -3, 1, 2, 157\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4822 is divided by 1603?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*c + 32*c + 19191 + 46655 = -1306*c for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 5*k - 33 - 10, -26891*z + 26888*z + 2*k = -19 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3590, 32445, 111842, 267053, 523350, 906005, 1440290?\nAnswer: 2151477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g + 1212. What is n(15)?\nAnswer: 1257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 45\/(-10 + 1) + 172\/1. Let p = -154 + m. Calculate the remainder when 125 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 3 (b) 145\/7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*l - 10. Let m = -0.2 - -0.17. Let o = 336 + -334. Which is the second biggest value? (a) o (b) m (c) -4 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*((-4)\/6)\/((-26)\/(-117)). Suppose 0 = 3*t - 4*l - 60, -5*t = h*l - 2*l - 100. Let y = 66 + t. What are the prime factors of y?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -2. Let o = h - 1. Suppose 0 = -r + o*r - 80. Calculate the remainder when r is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503b4 (base 15) in base 13?\nAnswer: 8b7a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -205 - w**2 - 632 - 147 - 68 + 67 in the form m + a*w + i*w**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 9*r**2 + 24*r**2 + 0 + 8*r**2.\nAnswer: 23*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3888 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 175406*d**4 + 98754*d.\nAnswer: 2104872*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 2*k + k. Suppose -2*a + 10*a + 32 = k. Let d(z) = -18*z + 21. What is the units digit of d(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63393 - -63366.99968. Let i = -29 + 3. Let j = i - a. What is j rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 68. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g = 2*u + 534, 1094 = -4*u + 5*g. Let s = 587 + u. What is the first derivative of -17*p**3 - 6 - 316*p + s*p wrt p?\nAnswer: -51*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13108612 divided by -302.\nAnswer: 43406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102222331 + -301?\nAnswer: 102222030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 555964 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-3))\/(2453\/22077).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6101 + 6101. Solve l = -317*g + 319*g - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (4*(sqrt(117) - (sqrt(117) + -2*sqrt(117) + sqrt(117))) + -2*sqrt(117)*3)*-6)**2.\nAnswer: 360*sqrt(13) + 16873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 364\/(-35) + 6 - -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150 and 78800?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -3, 0.076?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/256 and -95\/16.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 2519*y - 2520*y - 2 = 0, 2*y = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-129)\/72 - 4\/12?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -679768*b. Let p(l) = -63*l. What is w(p(h))?\nAnswer: 42825384*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18312177 is divided by 578?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41740527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 519464635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 23*z - 4. Let v(x) = 1449*x - 253. What is -253*c(y) + 4*v(y)?\nAnswer: -23*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 g when three letters picked without replacement from gguuguaaaugaggggau?\nAnswer: 35\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*u - 6 = -2, 5 = 3*m - u. Put -3, m, 2, -2, -6 in decreasing order.\nAnswer: 2, m, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 134096041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185760.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -3\/22 (c) -8\/7 (d) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 284600 to the nearest 1000.\nAnswer: 285000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5115.2 minus -15161211912?\nAnswer: 15161217027.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9803.984 centimeters in nanometers?\nAnswer: 98039840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 608165*i - 49. Determine f(0).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3216 and 938.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 17 = 2*b + 8, 0 = -2*b - 4*h - 22 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-255)\/(-102)*42\/(-315)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16219269 and 10417?\nAnswer: 16219269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*m + 104 = 77*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005919 to seven decimal places.\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19965, -20504, -21043, -21582, -22121, -22660?\nAnswer: -23199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1313923526574 and 12.\nAnswer: -1313923526562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1585 is divided by 41.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.8 - -3.8. What is the closest to -2 in -2, 2, -2\/9, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 13. Let g be a\/(10\/15 + -1). Let b(i) = i**2 + 2*i - 4. Let v be b(-4). Solve -g - 5 = -v*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60605\/7 or -8659?\nAnswer: -8659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -38, -85, -168, -299, -490, -753?\nAnswer: -1100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 48 = 4*t, -10*t + 31 = -9*t - 5*d. What is the closest to -1\/4 in -4, 3\/4, t?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 4*l - 17. Let c be d(-7). Suppose 5*p - c*n = 40, -2*p - 3*n + 32 = 2*p. Sort p, 0.5, -1\/2 in descending order.\nAnswer: p, 0.5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*v**4 + 38*v - 10*v**3 - v**2 + 6*v**3 + 43*v**4 - 9*v**4 to d*v**3 + t*v**4 + h + y*v**2 + x*v and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1080)\/7 + (-4966 - -5120)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 54 = -52*j + 81 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/11)*l**(3\/7)\/l)\/(l**(-16)\/(l*l\/(l\/((l**(-12)\/l*l)\/l)*l))) assuming l is positive.\nAnswer: l**(173\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = -6. Suppose 2*u + 2 = -f, m*u - 11 = -5*f + u. Calculate the highest common factor of f and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 23 = 3*v, 4*v - 4 = 4*b + 8. Find the third derivative of 46*m - 46*m + 6*m**4 + 4*m**b wrt m.\nAnswer: 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 7:11 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 18. Let z be o(-13). Suppose 3*g = -1 + 10. Let s = -1 - -1.4. Which is the second biggest value? (a) z (b) g (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*d + 24 = 0, -d = -c + 2*d - 12. Let h(a) = 5*a**2 - 3*a - 3. What is the remainder when h(c) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 3*d + 2. Let j be k(-3). Let h(q) = 18*q - 6*q + 2*q**j - 2*q**2 + 2*q**2. What is the tens digit of h(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -9*v**2 - 2*v + 56. What is y(-8)?\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.02477241386866 and 0.1.\nAnswer: 0.12477241386866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 + 8 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -8*g**3 + 1223*g**2 + 338*g - 28309. Give x(153).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2811 + 2811 + 4*o + o. Let r(d) = 4*d**2 + 29*d. Give f(r(u)).\nAnswer: 20*u**2 + 145*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-160)\/216)\/((-1)\/9)*(-6)\/(-14). Factor h*j**2 - 7*j + 11\/7.\nAnswer: (4*j - 1)*(5*j - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -410 (base 6) to base 13\nAnswer: -b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6381.828 minutes to days.\nAnswer: 4.431825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4785348483.193 + 0.5.\nAnswer: -4785348482.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/(-1)*455\/(-2184)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -42656?\nAnswer: -42660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1244810972.\nAnswer: 2, 4231, 73553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0.1. Suppose -2 = -3*n + 2*s + 2*s, n - 8 = 5*s. What is the nearest to k in 4\/3, 3, n?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 3.9. Let f = -4.9 + d. Let r = -0.513 - -0.413. Which is the nearest to r? (a) f (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/6)\/(734763\/104967 - 7). Suppose 4*w - 10008 = -4*x, -5*x + 3*w = -b - 807. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-7 - (-11 - -5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1296 + 2599. What are the prime factors of v?\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207 a factor of 1966393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 15\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13680343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-22))\/(3\/56)*1170\/25740?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**4\/2 - 15*p**3\/2 - 85*p**2 - 120*p = 0.\nAnswer: -3, -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1163416 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: What is -5832a (base 14) in base 9?\nAnswer: -356408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 2\/19, 15070?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*u - 6 = 0. Let z(o) = u*o**2 + o - o. Let y(d) = 30*d**2 + 3*d - 50*d**2 - 3*d + 25*d**2. Give y(z(a)).\nAnswer: 20*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ceev when four letters picked without replacement from eeecv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 30 = -m. Suppose -5*j + 8 = -5*d + 3, -3*d + j + 5 = 0. Let i be 262\/10 + d\/m. Calculate the highest common factor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*p - 10. Let z be 4 - -1*-1*p. Let y be -6*(-1)\/(z\/48). Calculate the greatest common divisor of 16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0321 + 560.9679. Let r = o + -563. Which is the nearest to -3? (a) r (b) 1\/3 (c) 3 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -50*c - 2. Let l = -2257 - -2267. What is the remainder when n(-2) is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -478 - -4088. List the prime factors of h.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -3. Let l = 10 - d. Find the first derivative of -10 + 5 + 5*v**l + v**4 wrt v.\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w + 2. Let k(i) = -i**3 + 9*i**2 - 8*i - 3. Let f be k(8). Let o be m(f). Let z be 5*1\/5*2. Which is the smallest value? (a) -2 (b) z (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 3*w - 13, -3*j = w + 2747 - 2756 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (14 + -2 - 10) + -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105498837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 20*v + 3. Let z(j) be the third derivative of -5*j**4\/6 - 2*j**3\/3 - 10*j**2. Let m(c) = 6*f(c) + 5*z(c). Is m(3) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from cccccccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/5 + (-13)\/(-5). Find the second derivative of 5*c**5 - 4*c**5 - 5*c**5 - s*c wrt c.\nAnswer: -80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1491*w - 306 = 1508*w for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgbkojbbkkggkb. Give prob of sequence gg.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -23751, -47500, -71249, -94998, -118747?\n\"Answer: -23749*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 51\/2 of a gram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23050, -22693, -22092, -21241, -20134, -18765?\n\"Answer: v**3 + 116*v**2 + 2*v - 23169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -144123970 to the nearest one hundred thousand.\nAnswer: -144100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a + 6. Let l be s(-3). Let o = l - 9. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 687*a*r**3 - 4*a*r**2 - 4*a*r + 20*r wrt r?\nAnswer: 4122*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 1. Let q(l) = 3*l - 27. Let p(s) = -q(s) + 2*v(s). Calculate the remainder when 67 is divided by p(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 943829.6 rounded to the nearest ten thousand?\nAnswer: 940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**5\/5 - n**4\/12 + n**2\/2 + 146*n. Let a be 8\/((-1200)\/(-130)) + (-2)\/(-15). Calculate i(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 43 - 15\/10*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 11, s: 5}. Give prob of sequence siss.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.39512ml in litres?\nAnswer: 0.04539512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/(-15) - -1) + (-2)\/(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7160.\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 263\/6 + -44. Let v = -17.8 + 17.9. What is the closest to v in -0.1, -5, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 0*m**2 + 4 + 10*m - 5*m**2 - 9*m - 12. Let r = 20 - 14. Let k(x) = 4*x**2 - x + 9. Let y(f) = 2. Let h(j) = k(j) - y(j). Determine r*q(d) + 7*h(d).\nAnswer: -2*d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgrvrccgwgwggg. Give prob of sequence rrg.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 2:45 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*2\/(-4))\/(41\/(-82))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 635085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1318857153*t**4 - 126538*t**2 + 13*t + 1.\nAnswer: 31652571672*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -7*a**2 + 8*a - 2. Let l(b) = 8*b**2 - 9*b + 3. Let t(x) = -6*l(x) - 7*p(x). Let r(j) = -3*j**2 + 4*j + 9. What is 2*r(q) + 5*t(q)?\nAnswer: -q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*i - 13*i - 13*i + 3498*i**3 - 3528*i**3.\nAnswer: -30*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/2819227?\nAnswer: 3\/2819227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 9*v**3 - 1 + (2 - 1 + 1)*((v**2 - v**2 + v**2)*(2 - 2 - 2*v) - v**3 + v - v + 924*v + 320*v**3 - 924*v).\nAnswer: 643*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikwmilklmwkwvllwmv. What is prob of sequence illw?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (7\/21)\/((5\/(-30))\/(2*1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1000 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1029 and 315.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1398837.\nAnswer: 3, 11, 19, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 1. Suppose -2*k - j + 1 = 0, -3*j - 4 - 5 = 0. Let c be i(k). Is c at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77352\/(-45122) + 626\/357.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 4*n = -m - 31, 13 = 3*m - n. Which is the second biggest value? (a) 1 (b) m (c) 2.2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -527 + 3942. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3783, -3781, -3779, -3777?\n\"Answer: 2*s - 3785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -296367097 != -296367097?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -9*z + 8*z. Let l(t) = -2*t - 3. Let v be l(-4). Suppose 4*g - 17 = v*f, -2*f + z = 2. Solve g + 2 = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvwbivcbvbfi. Give prob of sequence vbvc.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 8) in base 4?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omkya. What is prob of picking 1 o and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and -5.88.\nAnswer: -6.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2740?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-66)*1881\/(-798).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/(-1*3\/(-28))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 47*p - 90. Suppose j - 3*g + 2 = 0, -5*j - 10 = -3*g - 2*g. Let h = j - -17. Calculate the lowest common multiple of h and s(-49).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*x - 103*x - 12*x + 146*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*y - 4215 = 0, 11*w + 4*y + 2818 = 13*w. What are the prime factors of w?\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7075, -28162, -63305, -112504?\n\"Answer: -7028*v**2 - 3*v - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l + 2*l**4 + 0*l)*(6 - 15 - 71) to the form d*l + j + k*l**3 + v*l**4 + m*l**2 and give v.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llttttlt. What is prob of sequence ltt?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4315580 is divided by 81426.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*(c\/c**(-5))\/c)\/c*c**25)\/((c*c*c*c**25*c)\/(c**9*c*c)) assuming c is positive.\nAnswer: c**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 2*r**2 + 2*r + 2. Let l = -6 - -4. Let n be o(l). Let h be n + 3 - (-16)\/(-12). Which is the biggest value? (a) h (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k**3 + 11*k**2 + 2*k - 1. Let i(l) = 4*l**3 - 10*l**2 - 2*l + 1. Let c(z) = -6*i(z) - 5*r(z). Give c(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9299.96*-45\nAnswer: 418498.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1038 and 297.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3401414 < 178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3492\/5 + (-4)\/(-100)*15. Calculate the remainder when (-1)\/((-2)\/o*(-60)\/(-40)) is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7438*q**5 + 3 - 14875*q**5 + 7435*q**5 - 992*q - 3473*q**4 wrt q?\nAnswer: -40*q**3 - 41676*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -340031 - -2?\nAnswer: -340027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-864)\/(-160) - 4640\/100?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*i = -3*a + 52, 5*a - 3*i - 165 = 0. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/3 and 47\/1203930?\nAnswer: 1203930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102266 - 96*v**2 + 102266 + 2*v)*(4*v + 0*v - 5*v).\nAnswer: 96*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23630.057 + -21322.9359. Let c = m - 2307. Round c to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1361 take away -298241137.783?\nAnswer: 298241137.6469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -3\/10 (c) 0.162 (d) 14\/407\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(190) + sqrt(190)*-1 + sqrt(190)))\/(sqrt(80)\/sqrt(2)).\nAnswer: -5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 11*o**3 + o**2 - o + 8. Let t(x) = -30*x**3 - 3*x**2 + 3*x - 24. Let j(n) = 11*b(n) + 4*t(n). Calculate j(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45245276?\nAnswer: 2, 11311319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 14*n + 1. Let y be q(-1). Let i = 12 - y. Suppose -5*j - 4*z - 25 = -9*z, -2*j - 5*z = -i. Solve j = l + 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g. Let l be (38 - 4) + (-2 - (-3 + 0)). Let u be l\/(-15)*-3 - 2. Let c(j) = -6*j. Give u*d(k) - 5*c(k).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 339, 756, 1321, 2016, 2823, 3724, 4701?\nAnswer: 5736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/606 and -53\/11514.\nAnswer: 11514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396 = 219*w - 241*w. Solve 45*y = 39*y + w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 620 and 29772?\nAnswer: 4614660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-1))\/20)\/(22\/(-385)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 2:42 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.15 + -5.15. Let r = -8 - d. Sort r, -5, -0.9 in descending order.\nAnswer: -0.9, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126355?\nAnswer: 5, 37, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 5*b**2 - b - 6. Let q be u(-5). Let f(h) = -h**2 - 2*h. Let w be f(q). What are the prime factors of (w - -1 - 1) + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.58.\nAnswer: 1.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -155799*s - 105. Let u be l(5). Round u to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -4, 4, 3 in increasing order.\nAnswer: -4, 3, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.5 - -13. Which is bigger: t or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-31)\/3*(-4 + 1). Let m(y) = -y**2 - 34*y + 9318. Let q be m(81). Solve 0 = -4*r - q*g + s, -5*r + 2*g = -3 - 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38.79, -82, -5 in decreasing order.\nAnswer: 38.79, -5, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 6*s**2 - 18*s - 9. Calculate the smallest common multiple of 10 and g(-5).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.312 - 2.312. What is the third smallest value in p, -0.06, 0.39?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 515032 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a + 59*a = 25*a + 240. Calculate the lowest common multiple of a and 8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*l + 264, -q = 2*l - 2*q - 138. Suppose -43 = 2*i + l. Let y = i + 54. Which is bigger: y or 1\/35?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29934.\nAnswer: 2, 3, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -5*g - 20, -x + 7 + 5 = 3*g. Suppose -u = -0 - 3. Calculate the highest common factor of u and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -126 + 217. What is the remainder when q is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9055 - 27163\/3. Let f(q) be the first derivative of -w*q**4 - 2\/3*q**3 + 0*q**2 + 0*q - 2\/15*q**5 - 8. What is c in f(c) = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264665 a multiple of 736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.7 + -1.8. Let x = k + 8. Let f = -263 + 267. What is the nearest to x in -1\/3, f, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/4*-4*6\/(-56)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 divided by -71786.\nAnswer: -79\/71786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -16 (c) 1 (d) 0 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -36*z + 130. Determine d(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35.5 - -36. Let b be (32 + -31)\/(1\/5). Let z be 0 + -1 + (-4)\/(-7). What is the second smallest value in z, q, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 12. Let s be y(-8). Solve 5*w + 5*f = -0*w + 25, s*w - 2*f = 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/187 - 102\/561?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*k = -33*k + 10, -11 = 4*s - k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*o**(-5\/4)*o*o))*o)\/o)**(-17\/3) assuming o is positive.\nAnswer: o**(-119\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 490\/19 - 4965\/152. What is the common denominator of l and ((196\/(-10))\/(-1))\/4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 8:27 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, s: 2}. Give prob of sequence es.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010100010111110001 (base 2) in base 16?\nAnswer: -945f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - 0) + 0\/(-4). Suppose 3*d = h*d - 6. What is the units digit of (-1)\/(2\/(0 - d))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -821646656 and 2.\nAnswer: -821646654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -125, -247, -369?\n\"Answer: -122*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 1 - 5 = 0. Let i(k) = -5 - 2 + 5 + n - 4*k. Let z(b) = b - 1. Suppose l = 0, 2*h = -3*l + 8*l + 10. Calculate h*z(d) + i(d).\nAnswer: d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7 = 5*s + 43, -3*s = 3*i + 6. Let x(r) = -r + 32. Let p = 54 + -25. Let y be x(p). Let d(a) = 3*a + 2. Let v(u) = u + 1. What is s*v(t) + y*d(t)?\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6881932141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 + 5 - -1) + -9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (-1)\/(2\/2). Let f = j - -4. Let s be (-100004)\/10 + f\/15. What is s rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1337565 and 1495?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 200, 452, 894, 1592, 2612?\nAnswer: 4020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6388, 6378, 6346, 6280, 6168?\n\"Answer: -2*o**3 + o**2 + o + 6388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 285 and 29127.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4))**(10\/3)*(h\/(h\/((h\/((h**0\/h)\/h)*h*h*h*h*h)\/h*h))*h)**(-14\/11) assuming h is positive.\nAnswer: h**(-818\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**2 - 3*s. Let d be f(2). Suppose d*j = 3*j + 393. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/3 + 15419*j\/3 + 14705735\/3.\nAnswer: (j + 1115)*(2*j + 13189)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 f when three letters picked without replacement from {x: 2, f: 2, j: 3, i: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 55*s**3 - 437*s**2 - 25*s + 20. Give o(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -31 - 36*t - 26*t - 7*t + 41. Is a(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5, -45, -129, -247, -399, -585?\n\"Answer: -17*s**2 + s + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 55 (b) 42 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3796698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4*a + 17689, -x + 17668 = -16*a + 19*a. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -1\/4*a**4 + 7\/3*a**3 + a - 126 + 9\/2*a**2. Suppose 0*o - 8 = -o. Calculate y(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 37*g**3 - g**2 - g - 1. Let k be a(-1). Let l = k - -56. Suppose -l = -5*n + 3*n. Solve 3*f = -0*f + n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*c + 15*c + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -4*w**4\/15 - 38*w**3\/45 + 6*w**2\/5 + 6*w\/5 + 52. Let z(o) = 0. Calculate o.\nAnswer: -3, -3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 0*c**2 + 0*c**2)*(-c**2 - 1 + 1)*(-1 - 94*c + 109*c - 2).\nAnswer: -15*c**5 + 3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5651812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1097377?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*j - 184, j + 4*c - 28 = 2*c. Calculate the remainder when 107 is divided by j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*sqrt(245)*-2 + sqrt(245))*-5.\nAnswer: 1890*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/12*(-42)\/3584*-16.\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 164, 2, -3\/7, 0, 0.4 in descending order.\nAnswer: 164, 2, 0.4, 0, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.0421, 2, -5, 205.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 - -35. Solve 5*n + 15 = j*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*q + 76, -32 = -q + 3*b + 2*b. What is the common denominator of (1 + 92\/(-448))\/(q\/16) and 17\/3?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.5 - 8.5. Let h = d - -7.6. What is h rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 0\/(-2 + 5). Suppose -3*m = w*m + q - 416, 0 = 2*m + q - 164. Does 21 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4527 + 4528 + -1 + -1 + -19\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 d when two letters picked without replacement from aaakaaaaaaaadaa.\nAnswer: 13\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(20))*-4 - (sqrt(15)\/sqrt(3)*-2 + sqrt(605)*-2))**2.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 12, 23*n - 5*v + 14 = 20*n. Let j(u) be the first derivative of -13\/4*u**4 + 13 + 0*u**3 - u - 1\/2*u**n. What is j(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 10*y - 20. Let d be 4\/((3\/9)\/1). Let f be c(d). Suppose 0 = -f*p - 4*p + 1736. Is p a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.73 - -0.83. Which is the third smallest value? (a) -26 (b) r (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(1\/7))\/g**(-1\/2))**(1\/19) assuming g is positive.\nAnswer: g**(23\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1287*l + 46223 = -12460 - 22398 for l.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.73 times 0.12\nAnswer: 0.0876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3 = 4*s. What are the prime factors of (4\/s)\/((-4)\/(-30))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(114) - -1*sqrt(114))*-6)\/(sqrt(6) + sqrt(24)*4)*1.\nAnswer: -4*sqrt(19)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9118*b + 8877*b + 1 + 1 to the form n*b + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7116, -13032, -16558, -16500, -11664, -856, 17118?\nAnswer: 43452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 1\/5 (c) -13 (d) -5 (e) 1\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n**4 + 2*n**4 + 2*n**4)*(3 - 5 + 0 - 24*n).\nAnswer: 48*n**5 + 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27314 + 27293 + 27295 + 5*x + x - 81902.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 3 (b) 2\/33 (c) 5 (d) -2 (e) 1\/40\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-18) + (-14)\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - y**2 + 3*y - 1. Suppose 0 = -2*n - 4*a + 2, -5*n = -6*n - 3*a. Give c(n).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w = 35 - 140. Solve -w*h + 12*h = 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 a factor of 2178240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omom when four letters picked without replacement from {m: 3, o: 2, q: 12, x: 1, b: 1}.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*v - 38*v + 1 - 12*v + 2*v**3 + 4*v**3 to the form u*v**2 + b + r*v + z*v**3 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11755590 and 39690.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/1*(-15 + 9). Let d(g) = 4*g + 19. Let c be d(m). Let n(j) = 3 + 2*j + 0*j + 0. Determine n(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 876319705?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 268353 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -59a + -2397?\nAnswer: -2986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28572 - a2?\nAnswer: 28490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -17*j - 2. Let a(q) = -1. Let p(t) = 2*a(t) - d(t). Let z(b) = 2*b**2 - 7. Let v(s) = -s**2 + 3. Let w(u) = 7*v(u) + 3*z(u). Determine p(w(c)).\nAnswer: -17*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 3215\/511?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5686)\/(-1705800))\/((-1)\/3*1))\/(16\/(-60))?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4812, 4830, 4850, 4866, 4872, 4862?\nAnswer: 4830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 4 (c) 2.3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 535, 539, 545, 553, 563?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 9:07 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*a - 232622 = -139*a. List the prime factors of a.\nAnswer: 13, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times -37415\nAnswer: -29932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 14 = 118. Let i = d - 47. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -74 in -3, 0.405585, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/1316 and -26\/63.\nAnswer: 11844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759121974.\nAnswer: 2, 3, 13, 257, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/2)*g)\/g*g*g)**(-24)*(((g*g**(2\/17))\/g)\/g)\/g*g*g*g\/g**(-3\/4))\/(g*g*g**4*g**(-1\/4)*g*g*g**(-7)*g**(-7)*g) assuming g is positive.\nAnswer: g**(-491\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2476 divided by 1657?\nAnswer: 2476\/1657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(486) - sqrt(486))\/(sqrt(2) + sqrt(2) + -1*sqrt(2)*-1).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 + 74. Let y = 56 - a. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + 5. Calculate the remainder when o is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2342791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 106 + 49113?\nAnswer: 49219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 43270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*5\/150*-15*94.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yg when two letters picked without replacement from gyyygggggg?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k**2 - 3 + 4*k**2 + 3*k + 5*k**3 + k. Let f(c) = 9*c**3 - 5*c**2 + 9*c - 6. Let j(x) = -6*f(x) + 11*y(x). List the prime factors of j(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*1602.2.\nAnswer: -14419.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 58 = 13. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.202 - -44.\nAnswer: 24.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvsv when four letters picked without replacement from dvsddvaaxvxdxxxvxddx?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 1854943?\nAnswer: -556482.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8398 divided by -6?\nAnswer: -4199\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 4.7. Let p = -10 - -13. Let f = -4 + p. What is the nearest to f in m, 2, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(147) + 2)*-5)**2 + (sqrt(147) - (3*sqrt(147) + -4))) + 4.\nAnswer: -11333 - 2058*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -260166 - -260162. Let f = 5 - 3. Suppose y = 6*y - 3*w + 6, f*y + 5*w = -21. Which is the third biggest value? (a) y (b) 4 (c) t (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8065949212?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/189 + 4\/14. Let c = -12 - -11. What is the closest to 0 in c, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-5))*u\/((u**(2\/7)\/u)\/u*u*u*u)*u)**(2\/37)\/(u**4\/(u*u*u\/(u**(-4)*u)))**(-1\/19) assuming u is positive.\nAnswer: u**(1002\/4921)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 24774 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiijijijiii. What is prob of picking 2 j?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -0.08, 0.2, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 113, 1 in descending order.\nAnswer: 113, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 + 2*u**2 - 4*u**2 + 7*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/14330 and -47\/2070?\nAnswer: 2966310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.125 + -0.875. Let i be ((-8)\/(-7) - 1) + 42\/147. What is the closest to -3 in x, i, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 37*c**4\/12 + c**3\/3 - 15*c**2 - 7*c - 3. What is the second derivative of l(v) wrt v?\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -9*u. Let d(i) = -9*i**2 - 16*i + 7. Give m(d(w)).\nAnswer: 81*w**2 + 144*w - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l - 16. Let h be q(-8). Suppose 4*t - 4 = f - 0, h = -3*t + 4*f - 10. Solve -4 - 6 = t*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9308 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 26369 - (-1 - 0\/(-6)). Round j to the nearest 1000.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -1 + 1 - o. Let x(i) be the first derivative of -i**5\/120 - 2*i**3\/3 + 1. Let q(t) be the third derivative of x(t). Calculate q(u(c)).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 10*t**2 + 9*t - 12. Calculate w(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 o when two letters picked without replacement from ouqyob.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**1*p*p\/((p**6\/p)\/p))**(2\/13) assuming p is positive.\nAnswer: p**(2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 7*s + 1. Let h be m(8). Let w(g) = 3*g**2 + 2*g + 3. What is the remainder when w(-3) is divided by (-39)\/h*(-2 - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 4:50 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 3 - 3)*(0*h + 0*h + h + 1) + 8*h**2 + 0*h**2 + 6*h**2.\nAnswer: 15*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/36*-4*6. Suppose 0 = d + 4*a - 11, -a + 7 = -2*d - 2*d. Let r = 1 + d. Is t greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 279\/22 - 2759\/110. Find the common denominator of p and 65\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 23167118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 - 55. Calculate the greatest common divisor of n and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19, 7, 51, 113, 193, 291?\n\"Answer: 9*l**2 - l - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.287 + -0.32. Let w = 0.033092 + b. Round w to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19, 7, -9, -29, -53?\n\"Answer: -2*h**2 - 6*h + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58040.926971 - 58041. Let b = -0.127 - -0.2. Let k = i + b. Round k to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*p + 52. Let v be (p\/(-32))\/((-10)\/217432). Let m = 8142 + v. What is the common denominator of m and 89\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*i**2 + 32*i**2 + i**3 + 2 - 61*i**2 - 18*i**3.\nAnswer: -17*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**7\/315 - p**6\/90 + p**4\/18 + p**3\/9 - 5*p**2. Factor g(b).\nAnswer: -2*(b - 1)*(b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12065*f**3 - 30170*f wrt f.\nAnswer: 72390*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 2*b - 3. Let z be p(-3). Suppose z + 3 = 3*f, s + 2 = -3*f. Let h = s + 12. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebebeesbaeeebsqee. Give prob of sequence bs.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**3\/j)\/((j\/(j*j\/((j**3\/j)\/j)))\/j)*(j\/(j*j**7))\/j**(-1) assuming j is positive.\nAnswer: j**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000587752592 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 7:27 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**4 + 24*a**3 - 32*a**2 + 6263.\nAnswer: 8*a**3 + 72*a**2 - 64*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 55639946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.299 + 3.299. Which is the second smallest value? (a) t (b) -1\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**3\/3 - 11*n**2\/2 - 10*n - 1. Let h be u(-10). Solve -2*d + 3*i + 17 = h, 0 = 3*d - i - 4*i - 28 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 436*j**3 - 6691*j - 4*j**4 + 6691*j - 432*j**2 = 0.\nAnswer: 0, 1, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101483043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 9*h**2 - h - 2. Let q(l) = 17 + 8*l + 2*l**3 - 12 + 0 + 16*l**2 - 2*l. Calculate the remainder when q(-7) is divided by k(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 108.16527 microseconds?\nAnswer: 0.0000018027545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006465487 to 7 dps.\nAnswer: -0.0000647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3120930 divided by -115590\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 9. Let x be ((-20)\/(-9) + -3)*h\/1. Suppose j = -3*r + 2*j + 30, 5*r - 3*j = 54. Is r >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + f + 3. Suppose -3*k - 26 = 4*g, k + 0*k + 17 = -3*g. Let q = k - -2. Let x be w(q). Sort x, 5, 1 in descending order.\nAnswer: 5, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 11:02 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -193, -373, -553?\n\"Answer: -180*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30593 rounded to the nearest 100?\nAnswer: 30600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.9 (b) 5\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 - -49. Suppose -3*o + 10*o - 5509 = r. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r - 4*r + r**2 + 2*r. Let g be k(-2). Are g and -2 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2 - 7*c**2 - 6 - 9*c**3 + 7*c + 8*c**3. Let w be l(-7). What is w rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + 0*x + 0*x + (0 + 0 - 2*x)*(-4 + 1 + 5) + 3*x + 2*x - 6*x - 46 - x - 79 + 13 to w*x + j and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 - 196*j + 4124. Give t(29).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -11008734700 to the nearest 1000000.\nAnswer: -11009000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/24 and -53\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -18. Let x be 2\/(-2*2\/(-8)). Suppose 1 = x*o + 13. Put 3, h, o in decreasing order.\nAnswer: 3, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-10 - -16 - (-1 - -6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, o: 1, g: 1}. What is prob of picking 1 o and 1 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 8*f. Suppose -10 = -4*o + 38. Let h(x) = x**2 + 4*x - o*x + 8*x. Determine h(m(g)).\nAnswer: 64*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26)\/(-10) - 2\/(-5). Suppose -5*i = -5*u - 35, -2*i - 2 = -a*u - 11. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**18*p)**(-5\/21))**(-44) assuming p is positive.\nAnswer: p**(4180\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**3 + 88*b**2 - 57*b + 3852. Calculate s(30).\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 13 + 3. Solve -4*p + 5*n + 35 = -7*p, 6 = -v*p + n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.041 - 0.641. Let q = 1 + -1. What is the closest to q in r, -1\/2, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1139 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*f - 5*k + 9, 8 = 2*f + 4*k. Sort 3, f, -4 in increasing order.\nAnswer: -4, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14939918 and 8537096.\nAnswer: 59759672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 3*a - 2*d - 14, -5*d + 11 = 4*a. Suppose -5*i + 33 = -2*z, a*i - z - 4*z = 40. Solve i*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -20?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002758 to four dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7010016 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11\/10 - -17\/10. Let k = 35 - 34.4. Let i = k + -0.6. Which is the biggest value? (a) -2\/3 (b) i (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 418749985 and 42165?\nAnswer: 4685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s**2 - 1751*s - 4. Let k(b) = 13*b. Give k(d(u)).\nAnswer: 78*u**2 - 22763*u - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -1. Let i be (-1)\/(-4)*y\/(-5). Let q = 0.33 - 4.33. Sort q, i, 0.2.\nAnswer: q, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (0 - 1)\/(5\/(-2290))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*a + 11 = 0. Let l be (336\/(-72))\/(2\/51). Let z = -106 - l. Calculate the remainder when z is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*r = 0, -y + 2 = 2*y + 2*r. Suppose 0 = -p - y - 3. Let x be 2\/p + (-4)\/(-10). Solve x = -0*q - q - 3*w + 6, -5*w + 5 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -145*x + 141*x + v, -v = 5*x + 15 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.012 + 2.988. Sort y, 0, 0.3, 1\/6 in ascending order.\nAnswer: 0, 1\/6, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 10*v = 0. Suppose 5*g + 22 = 3*m, 4*m + 3*g = g + 12. Let o = m - v. What is the remainder when 6 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 2*d + 0 + d + 1. Let f be o(1). Are 2 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17451 (base 11) in base 2?\nAnswer: 101111110110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -1\/2 (b) -0.04 (c) 1\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 8*o - 5. Let l be g(4). Suppose 67 = -3*t - n, 4*n + 27 - l = 0. Let s = t + 32. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 222432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n - 7*n - n + 0*n + n. Let b(z) = -8*z. Give b(k(x)).\nAnswer: 80*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 0) + 1*6. Suppose -4*i - 1 = -v. Let p(y) = 10*y + 1. Is p(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -4, 18, -1 in decreasing order.\nAnswer: 18, 15, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1883186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1007536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, s: 1}. Give prob of picking 1 s and 1 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h**2 + 6*h**2 + 3*h**2 - 256*h**3.\nAnswer: -256*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/3)\/((-2)\/(-18)). Let g(o) = 2 - 11 + p*o - 2*o. Suppose -10 = 5*w + 2*m, 3*m + 6 + 9 = 0. Calculate g(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*y + 96 = -475 - 85. Suppose 8*r - 3*r = 455. Let t = r + -61. Calculate the remainder when t is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1988.94 - -1989. What is the nearest to -1\/4 in 2\/21, x, 4, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 9*j**2 + 177*j - 1193. What is the remainder when q(7) is divided by (-3003)\/(-49) - 2\/7?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 + -22 - -8)*(-45)\/(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 10) to base 4\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1765962111.\nAnswer: 3, 13619, 43223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w + 32*w - 44*w = 162 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.9 (b) 1 (c) 110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/10)\/((-66)\/330). Let s(p) = 11*p - 6. Let x be s(6). Suppose 0 = c*r + x - 60. Solve -a = -r*a + n, 3*a = -4*n + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/2)\/i**(-1\/12)*(i**0\/i*i)**30 assuming i is positive.\nAnswer: i**(7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*j + 4916 = 0, 4*y + 0*j - 3*j = 6573. Suppose -z + 330 = -x + 7, 5*x + 3*z = -y. Let c = -200 - x. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + 10\/(-4))*(-2 - 4). Let i be (-4)\/((-36)\/(-15))*g. Suppose -4*v + d - 6*d = -14, i*d - 6 = 4*v. Put -0.1, -4, v in descending order.\nAnswer: v, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4 = -3*l. Suppose 4*k = -2*p + 342, -l*p = -6*p - k + 649. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 40 = -4*w, -5*w + 0*w + 5*l = -45 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 625 = b + 2*b, b = 5*a + 214. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6166 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*j = 23636 - 1251676. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 3*d + x + 14, 4*x + 28 = 5*d. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3530523 and 6555.\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/246932 and 83\/5670.\nAnswer: 100007460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 3*w**2 - 81*w - 480 = 0.\nAnswer: -5, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1058052 to the nearest integer?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.5 (b) 0.1 (c) -0.5 (d) 5321\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -11*w + 41. Let c = 319 + -315. Let s be u(c). Let v(z) = -3*z - 4. Let b(q) = 4*q + 5. What is s*v(g) - 2*b(g)?\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 6. Let r be f(-8). Let d be r\/(-4)*(0 + 6). Let v be (18\/16)\/(d\/(-4)). Which is the third biggest value? (a) 0 (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*n - 70*n = 2*z + 75, -5*z - 90 = -5*n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3591180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59*b**2 - b + 214 wrt b.\nAnswer: 118*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*q, 42 = w - 5*q - 10. List the prime factors of w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3816 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/1446 and 49\/681594?\nAnswer: 164264154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73393862.\nAnswer: 2, 17, 43, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 3 + 0 + 1. Let u be j(5). Suppose u*z - 4 = 2*z - x, -3*x = -5*z + 52. Calculate the least common multiple of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*i**3*q - 7*i**3*z**2 + i**2*q - 3*i**2*z**2 - i**2 + i*q*z**2 with respect to q.\nAnswer: -23*i**3 + i**2 + i*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 e when two letters picked without replacement from aatbettctcttbtt?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 - -54. Suppose -9 - h = -2*f, -m - 2*f = -623. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 526 + -520. Suppose j*k - 104 = -20*k. Let p(q) be the second derivative of -q**4\/12 + 5*q**3\/6 - 2*q**2 + q. Give p(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3708547 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*14\/(-504) + 0. Let f(x) = -x**3 + 5*x**2 + 7*x - 8. Let m be f(6). Let d = -0.1 - 0. What is the closest to d in r, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0674246029 to three dps.\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 601 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 366.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**4\/4 + 7*o**3\/3 - 4*o**2 + 4*o - 4. Let g be l(-8). Which is the third smallest value? (a) -6 (b) g (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1052, 2104, 3156, 4208?\n\"Answer: 1052*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3561 - 3563 = -2*w. Solve 5*n + 15 = -3*b + 14, -b - n = w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 24, 58, 0, 2, -83 in ascending order.\nAnswer: -83, 0, 2, 5, 24, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((170\/4)\/((-85)\/(-51))).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l**3 - 3*l**3 + 11*l**3 + (l - l + 2*l**2)*(5*l - 5*l - 2*l) to the form r*l + w*l**2 + m*l**3 + x and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 107, 573, 1861, 4385, 8559?\n\"Answer: 69*i**3 - 3*i**2 - 8*i + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtlxxltxlxxxttxxxx. What is prob of picking 3 x and 1 t?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*t + 22. Let g be (0 - -1)\/(t - -4). Let b = 3 - g. Solve b*w + 7 = -w + r, -3 = w - r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0508329428 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 309\/2530 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 2*y + 3*y)*(1 + 3 - 3) + (1 + 0 + 2)*(-y - 1 + 1) - 2*y - 3*y + 3*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/((sqrt(99)\/sqrt(3))\/sqrt(11)) + (sqrt(5) - -1*sqrt(20)\/sqrt(4)) + (sqrt(30)\/sqrt(2))\/sqrt(3))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 7*u - 12. What is x(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -5*j**3 + 200*j**2 + 20*j - 800 = 0.\nAnswer: -2, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n - 48. Let w be b(-16). Suppose -2*d - z = -2359, 0 = 4*d - w*d + z - 4723. List the prime factors of d.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*m**2*s**2*v**2 - 2*m**2*s*v**2 + 9*m**2*s + m*s**2*v**2 + 14*s**2 wrt s.\nAnswer: 8*m**2*v**2 + 2*m*v**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/538240 and -3\/3190.\nAnswer: 5920640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-135)\/(-12) + (-19 - (-1125)\/60). Let g(f) = 5*f - 6. Give g(j).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71218, -71220, -71222, -71224?\nAnswer: -71226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 5299.\nAnswer: 2\/5299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 32\/(-10))\/((-9)\/(-30)). Solve -3*f + i*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2298*s + 2401*s = -3090 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -16*g - 5. Let i(s) = -57*s - 18. What is -5*i(x) + 18*p(x)?\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6805.245 - 6786. Let j = a - 0.045. Let p = j - 19. Are p and -6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 6*l**2 - l - 6. Let y = -313 - -316. Let v(w) be the first derivative of 1\/2*w**4 - 7 + 11\/3*w**y - 11*w - w**2. Determine -11*u(z) + 6*v(z).\nAnswer: z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence th when two letters picked without replacement from {t: 3, d: 1, v: 3, h: 7}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 374.28\nAnswer: -187.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16984.1331 + 16984. What is o rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/5, 0.2, -6, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237933.\nAnswer: 3, 26437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + 0*a**3 - a**3)*(0*a - 5*a + 2*a)*(-a + 2*a - 3*a)*(3 - 6 + 1).\nAnswer: 24*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5 = -11*u + 6*u, 5*u + 2*p = 12. Solve u*c - c + w = -1, -c = -w + 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48005383 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**2 + 36*x - 14. Let t(c) = -6*c**2 - 33*c + 18. Calculate -5*a(q) - 4*t(q).\nAnswer: -q**2 - 48*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.19454mg to nanograms.\nAnswer: 89194540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 24039639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 35 + -24 - 25\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*(sqrt(27) + sqrt(3)) - sqrt(3))**2*-3*-1.\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of (-3)\/(-4) - (-418)\/(-88) - 4895*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-36)\/(-126) - (-16)\/(-7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2. Suppose 2*y = 2*o + 12, -4*y + 5*o = -2 - 26. Let l(x) = -12*x + 10*x + x**y + 2*x. Give l(g(u)).\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k - k + 1 - 4*k + (-2*k + 0*k + k)*(-7 + 2 + 1).\nAnswer: 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1151 take away 96611989.2?\nAnswer: -96613140.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of a**4\/4 + 5*a**3\/3 + 11*a**2\/2 + 23*a + 141. Calculate m(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.5 + -2. Let p(q) = q**2 - 48*q + 93. Let x be p(46). Which is the smallest value? (a) f (b) -0.14 (c) 3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -701*w + 1960 = -456*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1380\/(-42))\/10 - -3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -18*p. Let l be v(-1). Suppose 5*o = 4*w - 611, 3*o = -4*w + 244 + 311. What is the greatest common divisor of w and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 84*v**2 - 153*v - 914. Give l(82).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/(-18) + (-16)\/32 + (15 - (-2394)\/(-162)).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.16013 - -0.16. Round j to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 10 = 0, -4*d - 18 + 4 = 2*i. Let w be (0 + 0)\/((-1)\/1). Suppose w = -i*g + g + 14. What is the lowest common multiple of 3 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -76*y - 4. Let v(b) = -19*b - 1. Give -2*q(u) + 9*v(u).\nAnswer: -19*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/187587 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(1\/13)))**(-6\/11) assuming a is positive.\nAnswer: a**(-6\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 37 + 53 = 0. Solve -3*m + 13 = f, -t + 2 = -2*m - 5*f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 833763103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 936 - 848. Suppose 0 = 5*i - 3*b - c, -i - b = i - 44. Suppose -2*w + 140 = t + 3*w, 4*t = -2*w + 632. Calculate the highest common divisor of t and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 - 194*t - 196.\nAnswer: 2*(t - 98)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54 + 6424?\nAnswer: 6511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 15456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -4*d - 64 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49407351 and 148222053?\nAnswer: 148222053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g**4\/11 + 6778*g**3\/11 + 101520*g**2\/11 + 507350*g\/11 + 845375\/11 = 0. What is g?\nAnswer: -6763, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*z - 65*z = -3*d - 64, -5*z = 5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from yvllyvlovyvdyi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1649 + 1649. Is -0.31 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-4 - (-4067)\/588 - (56\/(-16))\/7.\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -11*i - 1\/6*i**3 - 67\/12*i**4 - 28*i**2 + 0. What is the second derivative of d(a) wrt a?\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3551, -3531, -3511, -3491?\nAnswer: -3471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31311311 - -31?\nAnswer: 31312002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.40902 + 1.393. Round i to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.203 - -0.267. Let t = m + 86.536. What is t rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -291*v - 471. Let o be u(9). Let s = -2129 - o. What are the prime factors of s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9662 (base 10) to base 2\nAnswer: 10010110111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 316901 a multiple of 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237627*s - 2145*s**2 - 237627*s.\nAnswer: -2145*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10740 + r + 4539 - 9*r.\nAnswer: -8*r + 15279","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1100 and 308.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1420 or 1415?\nAnswer: 1420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -u - 235, 0 = 2*d + 3*u - 2*u - 225. Suppose -122 = -4*z - 2*v + 38, -4*v = 3*z - d. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252 and 778651524?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58728575?\nAnswer: 5, 2349143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(363) - (-1 + sqrt(363) + sqrt(363))*2 - sqrt(363) - sqrt(363)) - (-2 + sqrt(363) + 2 + -5)) + 1)**2 + -5.\nAnswer: -2420*sqrt(3) + 44018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/9 and (-104)\/78 + 53\/(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134356 = -4*w + 2*t, w = 4*t + 26383 + 7220. Is 50 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1642, -2\/13, -0.4, 0.024.\nAnswer: -0.4, -2\/13, 0.024, 1642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 429 - -11?\nAnswer: 43a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 246753.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 1231112232001?\nAnswer: -1231112231330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x**2 + x + 1. Let z(d) = 6*d**2 - 13*d - 6. Let q(u) = -6*u**2 + 16*u + 7. Let b(t) = 4*q(t) + 5*z(t). Calculate 2*b(r) + 3*o(r).\nAnswer: -3*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -26804600 to the nearest one million.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, i: 4, y: 2, c: 1, v: 2}. Give prob of picking 1 v, 1 i, 1 y, and 1 c.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 464899?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0.9. Let p = a - -0.6. Let o be 1 + 154\/(-156) + (-24)\/(-156). What is the closest to -0.2 in p, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 35 = -4*w, -4*s + 19*w + 20 = 20*w. Suppose -5 = -3*i + 10. Solve -i*p - 15 = -f, -2 + 7 = s*p - 5*f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*p - 75 = -84*p. Solve -6*a = p + 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**4 + y**4 - 3*y**4)*(4 - 24*y - 23*y + 35*y).\nAnswer: -12*y**5 + 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 210.09178 + -2.21878. Let c = p - 208. Let z = 0.027 + c. Is 61 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.78 - 1.38. What is the smallest value in -2, -0.4, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = d + 13, 4*d - 3*o + 2 = 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -109*d + 2. Let u = 4 + -6. Let z be a(u). Let q = z - 93. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 21, 924005?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-28)\/j*j\/((j**(2\/5)*j)\/j*j) assuming j is positive.\nAnswer: j**(-147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4*p - 4*w + 10, -3*w = 4*p - 25. Suppose 3*l - p = -4*z, 4*z - 17 = 3*l + 2*z. Put 1, l, 4, -9 in descending order.\nAnswer: 4, 1, l, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3898.9238791 - -0.04.\nAnswer: -3898.8838791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/((f**(-2\/9)*f*f)\/f*f)*f\/f**(-8)*f**4*f**9\/f*((f**(-4))**(30\/13))**(15\/2) assuming f is positive.\nAnswer: f**(-5617\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 8:38 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2889*v + 107500 = -16727 for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 4*y - 9*y + 7, 2*y + z - 10 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30146?\nAnswer: 2, 15073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 2 (c) -10 (d) -341 (e) 0.0148 (f) -2\/11 (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 400, 1640, 3794, 6934, 11132, 16460, 22990, 30794?\n\"Answer: 12*j**3 + 385*j**2 + j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (1*282)\/(-3). Suppose 0 = -2*y + 5*h - 12, 5*y + h = 6*h. Suppose -k = -y*z + 20. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14.59 in 1\/6, 2, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -1) + 0 - -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050 divided by 4?\nAnswer: 525\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 14865*o**2 + 59*o + 5. What is the ten thousands digit of f(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3 + 11. Let o(y) = -y**2 + 97*y + 1. Let u(p) = -p**2 - 17*p - 1. Let j(n) = -o(n) - 5*u(n). What is the tens digit of j(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + 249. Calculate the greatest common divisor of 80 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(171)\/(sqrt(81) + sqrt(9)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 + 4*k**2 + 5*k + 1. Let m(x) = -x**3 + 2*x**2 + 1. Let h(t) = a(t) + m(t). Give h(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 3238 = 286. What is the remainder when b is divided by 77?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 21 = -4*m. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -450*h**3 - 10*h**2 + 46*h + 54. Give x(-1).\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*1*sqrt(95) + sqrt(95) + sqrt(95) + sqrt(95) - sqrt(95)) + sqrt(95))\/sqrt(5) - sqrt(171)\/(sqrt(324)*-3))**2*3.\nAnswer: 504811\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5498*z - 32164. Give t(-5).\nAnswer: -4674","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169373*h - 338750*h + 169377*h - 1064*h**2.\nAnswer: -1064*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 1 + 3*t + 0 - 4*t + t**2 + 0*t**3. Suppose -3*p = 4 - 1. Let f = 2 + p. Determine i(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2131*b**6*q**2 + 542*b**3*q**2 - 55*b**2*q**2 + b**2*q - 8*b**2 + 53*b*q**2 + q**2 wrt b?\nAnswer: -255720*b**3*q**2 + 3252*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.4209 * 511.\nAnswer: 1748.0799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101101001011101 + 110?\nAnswer: 11101101001100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(405) + (sqrt(405) - (sqrt(405) + 0 + sqrt(405)))**2 + ((sqrt(405) + sqrt(405)*-1)*-2)**2 - (-5 + ((sqrt(405) - (sqrt(405) + -1)) + -2)**2).\nAnswer: 9*sqrt(5) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4092292543 to the nearest integer?\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15552 by -864.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + y + y)*(4*y + 4*y + 2 - 4*y).\nAnswer: 20*y**2 + 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4\/9 - 16*h**3\/3 + 136*h**2\/3 - 1472*h\/9 + 640\/3 = 0. Calculate h.\nAnswer: 4, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42354399.\nAnswer: 3, 509, 27737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-1) - ((-55)\/(-25) + 2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 96*j - 1227. Calculate m(56).\nAnswer: 1013","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 708?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3)**(20\/7)\/(k**(-2\/17)\/k**(-1\/18)) assuming k is positive.\nAnswer: k**(18493\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((28000\/(-105))\/25)\/(2\/12*4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 312, 1, -2, 3, 24 in decreasing order.\nAnswer: 312, 24, 3, 1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.86961289 + 722.13001611. Let h = 723.9415 - -0.0585. Let b = h - i. What is b rounded to 5 decimal places?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**4\/36 - 35*z**3\/18 - 50*z**2 - 6184*z. Factor y(n).\nAnswer: -(n + 15)*(n + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8943077877 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*v = -82*v + 64 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12880 divided by 35?\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - o)*(-6*o + o + 3*o) + 2*o**2 + 6*o**2 + 0*o**2 + 0 + 0 + 2*o**2)*(-31*o + 55*o - 7*o**2 - 30*o).\nAnswer: -84*o**4 - 72*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/3 + 1963*s**2\/3 + 5025958*s\/3 + 20072360\/3 = 0. Calculate s.\nAnswer: -1463, -4, 3430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/119? (a) -3 (b) -0.1 (c) -1\/3 (d) -9.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/6 in 7, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 4)*(3*z - 5*z - 2*z) + 2 + 0 - 653*z - 129*z as x + d*z and give d.\nAnswer: -794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**19)\/(t**14*t)*t\/(t\/(t**(-1\/2)*t)*t)*t**0 assuming t is positive.\nAnswer: t**(-67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3123818?\nAnswer: 2, 17, 79, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 391 and 3358.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 6.9. Let u = -2.8 - 0.2. Let s = u - d. Which is the third biggest value? (a) -0.4 (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 - 13b?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*v + 10 = 0. Is 378\/v + 1\/5 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 39 = -3*q, 17 = -v + 2*v - 5*q. Let o be (-4)\/10 + v\/(-20). Let b(z) = 2 + o - 2*z + 4*z. Calculate b(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5073 - -5069. Which is the third smallest value? (a) s (b) 1 (c) 0.624\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - -ab?\nAnswer: b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -20*x**3 - 2*x**2 + 3*x + 2. Let c = 1462 - 1460. Let t(r) = -r**2 + r + 1. Calculate c*t(y) - b(y).\nAnswer: 20*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2849*a**5 + 693*a - 1.\nAnswer: -56980*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 15 + 5*z - 1\/4*z**4 - 3\/2*z**2 + 4\/3*z**3. Calculate l(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 33*g**2 - 126351*g - 379057. Calculate d(-3).\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 3*u + 38, -4*k + 2*u - 5*u + 25 = 0. Suppose -6*t - 25 = -43. Solve -10*g + t = -k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 2694.\nAnswer: 2694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-30)*24\/(-90)*-5.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a kilometer in centimeters?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.01 + -0.01. Let q = 697 - 1423\/2. Let v = q + 57\/4. Which is the closest to v? (a) 4 (b) m (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279376242.\nAnswer: 2, 3, 1999, 23293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 2*z. Let c be l(3). Let m(p) = -26. Let r(a) = -a - 144. Let y(h) = -22*m(h) + 4*r(h). Let f(g) = -11*g - 11. Calculate c*f(x) + 8*y(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -127 + 153. Suppose 9*g + l = 10*g. Calculate the highest common factor of g and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r - 96. Let w be j(-34). Let k = w - 140. Solve -f - 5*l = 14 + 11, k*l - 2 = 2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 12:20 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 1097586\nAnswer: -1097586.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 199 + 231. Calculate the greatest common divisor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*u = -6. Suppose u*w + 16 = -4*z, -z = -0*w - 3*w + 4. Solve l - 5*l - 8 = w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182186.\nAnswer: 2, 71, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-217)\/(-126))\/((-1922)\/(-124))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**2 + y - 10. Is u(-5) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -6*x**3 + 13 - 817*x + 7*x**3 + 824*x + 8*x**2. Give b(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.9, 38, 4.6, 0.2, 1\/3, -33?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2236948829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 t when three letters picked without replacement from ecokcotooeooecteek?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.206 + -10.106. What is m rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -988 + 5?\nAnswer: -983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1879 = 3*m - 2*d, 0 = -5*m + 2*d - 948 + 4081. Calculate the remainder when m is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14\/(-6) + 4)*(23 + -26) + 4. Suppose -12 = -5*u + 8. Put u, 34, k in ascending order.\nAnswer: k, u, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 6 + 6 - 219*v + 216*v.\nAnswer: -3*v + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.6 + -17.6. Let o = 10 + -12. Put m, o, 3 in decreasing order.\nAnswer: 3, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 3*y - 2*m = 32, 0 = -3*y - m + 14. Is ((-474464)\/(-192))\/(1\/y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 55*q**2 + 199*q + 250. What is k(51)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48529?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(1\/3*(-132)\/11)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 712 divide 2779648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**3\/6 - 7*j**2\/2 - j. Suppose 2*g = -3*g + 10. Suppose -3*r + g*u + 3*u + 7 = 0, 0 = -3*r + u + 11. Calculate a(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36234297 divided by 99819.\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 (base 3) in base 4?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 183 + 15 = 0. Suppose 14541 = f*p + 4671. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**2 + 21553551 - 21553551.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 2 - 1 + 2*k**2)*(-5 + 2 + 1) + 51*k**2 - 50*k**2 - 29*k**2.\nAnswer: -32*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10513\/60 - -175. What is the common denominator of -97\/24 and w?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 + 113. Let h = 3962.84 - 4036. Let b = h + f. What is the closest to -2 in b, 0, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 10633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**6\/60 - b**5\/30 + 14*b**2. Factor p(q).\nAnswer: -2*q**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/4*r**4 - 1\/4*r**3 + 0*r + 1\/4*r**2 + 1\/4*r**5.\nAnswer: r**2*(r - 1)**2*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013136109544 to seven dps.\nAnswer: -0.0001314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -3 - (-10 + (1 - -2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 8*u**2 + 9*u + 8. Determine z(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -5*q - 6. Let u(a) = -a**3 + 5*a**2 + 4. Let s be u(5). What is the derivative of 2*v - 3*v + s*v + q + 0*v wrt v?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 - 8*a + 74. Determine i(6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, n: 3, k: 3, l: 1, u: 6}. Give prob of picking 2 k and 1 u.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -651 divided by 20?\nAnswer: -651\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 10:10 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*k - 6*k + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(6\/13)*c)**(-11\/2) assuming c is positive.\nAnswer: c**(-209\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 2, -20 in increasing order.\nAnswer: -20, 2, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 8:12 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -12. Let b = g + 7. Calculate the common denominator of b\/(-8) - (-63)\/308 and 11\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 388 in -2\/87, 0.1, 3, 3\/5, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3100958?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101685267 is divided by 795.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 27 = -3*b + 5*q, -b - 4*q - 14 = 0. Suppose 0 = k + 4*k. Let f = k - b. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -2*c - 6*c. Suppose -4*j - 37 = -3*z, -24 = -4*z + 4*j + 28. Solve a + 2 = 2*w + 2*a, -5*w - 5*a + z = c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k - 123. What is x(30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1766185 rounded to 4 decimal places?\nAnswer: -0.1766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45588 and 348.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 - 34. Let c be (k + 4 + -2)\/(-1). Suppose j - 3*j + 4 = c. What is the lowest common multiple of 7 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02, -99\/7, 0.4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h + 10*h**3 - 9*h + h**3 + 17*h.\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20124 - -1?\nAnswer: -20123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 29.9 (b) 6 (c) -2 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8453 + -8451. Solve 10*r - 13*r = 0, -y*q = -3*r + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s**2 - 3*s. Let o(i) = -11*i**2 - 5*i. Let j(v) = -5*m(v) + 3*o(v). Let d(w) = 37*w. Give j(d(p)).\nAnswer: -10952*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -9*d**3 - d**2 - d - 1. Let f = -4 - -8. Let i = f + -2. Suppose -3*z + 5*p + 1 = p, -i*z = -2*p. Give n(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 - -0.5. Let o = -53.937 - 0.063. Let u = o + 49. Which is the second biggest value? (a) u (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6565 - -6594. What is the highest common factor of t and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 30*q + 32. Let s(n) = -10*n - 10. Let d(b) = -7*s(b) - 2*w(b). What is d(-4)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (2 + 0 + -1). Let p = -3 + n. Suppose p = -6*s + 2*s + 24. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*k + 148 = 0. Let y = k + -106. What is the least common multiple of 16 and y?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**25*k*(k*k\/k**(-24))\/k)**(24\/7) assuming k is positive.\nAnswer: k**(1224\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 11 - 4)*(x - x - x**2).\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1976 from -0.4.\nAnswer: 1975.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 629\/820 + -24\/205. Calculate the common denominator of v and (1 - (-266)\/(-20))\/(-15).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*x - 1. Let q(u) = u + 4*u + 2*u**x - 3*u**2. What is the units digit of q(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2\/11, 1\/15, -0.612, -4, 0.1, -1\/5, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or 19\/30?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**4 - 3*a**4 + 4*a**4)*(-7*a + 4*a + 0*a) - 4*a**2 - a**5 + 4*a**2.\nAnswer: -4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99 - -795\/8. Suppose 0 = -x + 117 - 22. Let g = -96 + x. Does z = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k - 2. Let m(y) = -4*y + 1. Let b(h) = -5*m(h) - 3*s(h). Let a be (14 + -3)\/((-2)\/(-4)). Let z(w) = w**2 - 11*w + 11. Calculate a*b(n) - 2*z(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214948 by -109.\nAnswer: 1972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3434457 by -1061.\nAnswer: -3237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15467, 15285, 15093, 14885, 14655, 14397, 14105?\nAnswer: 13773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 5*n - 2*o - 12, -1 = -2*n - 3*o. Solve 9*k = 7*k - n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15503 (base 11) in base 16?\nAnswer: 5590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/60 - 4\/5. What is the smallest value in -1\/4, 41, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((675\/(-70))\/15)\/((-10)\/(-105))?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/12 and -13\/4887?\nAnswer: 19548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y - 2*y + 0*y**2 + y**2. Let k(t) = -46*t**3 - t**2 + 2*t - 8. Let x be k(0). Let m(s) = -4*s**2 - 8*s. Calculate x*d(j) - 3*m(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/167, 3.9, -2\/5, -1\/9 in decreasing order.\nAnswer: 3.9, 1\/167, -1\/9, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 17*y - 21. Let c be z(-16). Let w(k) = -k - 6. Calculate w(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 + 253\/4. Let l be 4\/(-2)*2\/(-4). Let n be 6\/(-3)*(-8)\/(-136). What is the smallest value in l, n, w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/2)\/i)**(-4\/19)\/(((i\/(i*i**(1\/3)))\/i)\/(i*i*i**(-6\/7))) assuming i is positive.\nAnswer: i**(1114\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 180 = o. Let h = o + -31. Let w(g) = g**3 - 58*g**2 + 70*g - 736. Let b be w(57). Solve 2 = -5*r + 4*i, -r + b*i - 6 = -h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 3)\/(2\/8). Let p(a) = a**3 - 4. Let j be p(0). Sort j, l, -2.\nAnswer: j, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-2))\/((-9)\/450). What is the highest common divisor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**3 - 78*q**2 + 79*q**2 + q**3 - 3 in the form s*q + f*q**3 + g*q**2 + p and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 24 + (632 - 633)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1428*y + 151719 = 1779 for y.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6810 divided by 217?\nAnswer: 6810\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5) - ((-152)\/14)\/(10\/(-7)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmdmdmmxd. What is prob of sequence mx?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140151 and 743721?\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*a + 171*a + 343*a + 1140 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((((sqrt(304) - (sqrt(304) + 4*sqrt(304) + sqrt(304))) + sqrt(304))*6)**2 + 4).\nAnswer: 350216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*n + 12*n + 28. Suppose 5*r = 2*l - 5, 4*l + n*r - 20 = 2. Solve -4*c - l + 17 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, h: 2, d: 2, z: 1, u: 3, m: 2}. Give prob of picking 1 m, 2 h, and 1 z.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 53*z. Let g(c) = 138*c - 1135. Calculate g(a(t)).\nAnswer: 7314*t - 1135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -2\/11 (c) -6\/19 (d) 0 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 697 + -717 - (-12 + 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 380. Suppose 0 = -5*m + d + 171. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104815*(-40)\/(-100) + 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*d = 188*d. Solve -2*s = 3*b + 122 - 114, d = 4*b - 3*s + 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3580)\/1074*(-54)\/84.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44598*q - 22262*q + 7*q**2 + 6*q**2 - 22336*q - 5*q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 477413 and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - c + 1210 = 7*a, 0 = -3*a + 3*c + 726. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10330071.6 + -10329977.300691. Let k = -94.3 + w. What is k rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 8 = -i. Suppose -i*f + 7 = -1. Calculate the least common multiple of 18 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 402707631 to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7724 divided by 5?\nAnswer: 7724\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313 + 632 = 45*h. Let d be ((-24)\/h)\/(20\/70). Sort -5.2, -2\/9, -3, d in decreasing order.\nAnswer: -2\/9, -3, d, -5.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from yyyymmyyyymmyyym?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 6*t**2 + 15*t - 5. Let i be w(-8). Suppose -i*k + 324 = 10*y - 8*y, 2*k - 162 = -y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -160*b**4 + 97*b**2 - 7*b**6 + 2*b**3 + 0*b**6 + 160*b**4 wrt b.\nAnswer: -840*b**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 1546*j - 1551*j + 30, -2*j + 81 = -5*n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -6386?\nAnswer: -6385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -83388 divided by -36\nAnswer: 6949\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 74*j - 57. Let g(p) = 24*p - 18. Let l(f) = 19*g(f) - 6*r(f). Let y(n) = -n. Calculate -l(x) + 6*y(x).\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40 and -1.5?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1 (b) 9\/7 (c) -5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 0.4, 0.11, -0.46?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6525 is divided by 362.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 7*a**2. Let p be d(1). Solve -3*c - 1 = 5*i, -3*c = 2*i - i - p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(500) + 0) + sqrt(500) - sqrt(500) - (sqrt(500) - (2 + sqrt(500) + 3))**2.\nAnswer: -25 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*c + 4. Let o(w) = 0 + 4*w**2 - c*w - 5*w**2 + 2 - 3. Calculate o(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/11 + 4*(-3)\/66. Let d be i*(-35)\/6 - (-1)\/3. Calculate the remainder when (-357)\/(-6) - d\/(-8) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19358.999985608 - -19359. Round y to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15760149?\nAnswer: 3, 5253383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + x + 3*x)*(125*x**2 - 130*x**2 - 7*x + 0*x)*(9*x + 2*x - 29*x).\nAnswer: 180*x**4 + 252*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 10:37 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11282*p**3 - 508*p + 187096.\nAnswer: -33846*p**2 - 508","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(121)\/sqrt(11) + 1.\nAnswer: sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 38*a**2 - 47*a - 90. Is 35 a factor of b(-37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.3 + 26. Let q = 23 + -20.9. Let d = q - n. Round d to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -72*o + 68*o. Let y be (-6)\/o + (-13)\/((-52)\/85). Calculate the greatest common factor of y and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 98*b**2. Let c(k) = -3*k**2 - 2*k - 8. Let n(d) = 13*d**2 + 13*d + 36. Let v(m) = -18*c(m) - 4*n(m). Give v(t(a)).\nAnswer: 19208*a**4 - 1568*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14202 + 19946. List the prime factors of o.\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -292851 divided by 9\nAnswer: -32539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 603 and 102.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -121465\/14 + 8683. Let w = -2\/1263 - -3887\/61887. Let z = 1489\/490 + w. Find the common denominator of z and u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 12:44 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1725, 1735, 1747, 1761, 1777?\nAnswer: 1795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**5 - 68*j**2 + 4133 - 10*j**3 - 4133 wrt j?\nAnswer: -120*j**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 5*v + 4*m + 31, 3*m = 4*v - 59. Suppose -5*c = -9 - v. Suppose c*y + 38 - 186 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1996, 1933, 1868, 1801, 1732?\n\"Answer: -s**2 - 60*s + 2057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1707985 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*o - 6 + 3*o**2 + 17*o)*(2*o**2 - 3*o**2 + 4*o**2)*(o + o - 3*o).\nAnswer: -9*o**5 + 18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3436015729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1146, -2274, -3402?\nAnswer: -4530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.047, -18, 0.3, 4, -0.2 in ascending order.\nAnswer: -18, -0.2, 0.047, 0.3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114044 * 15993.\nAnswer: -1823905692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f + 2*f - f + 21*f + 15 + 2*f - 17 + (2 + 3 - 4)*(2*f - 4*f + 0*f) to j*f + s and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8853?\nAnswer: 3, 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 5331830122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40\/7 + -6. Let j = 12.3 - -0.7. Is j smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5439482 (base 10) in base 5?\nAnswer: 2343030412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, d: 6, p: 7, e: 5}. What is prob of picking 2 d and 1 k?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 b when four letters picked without replacement from nnnnnnnnnnnnbnnnnbbb?\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -2449188.\nAnswer: -1\/816396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 7*c + 7. Suppose 2*b = -7 + 19. Give v(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7050650246 - -19\nAnswer: -7050650227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11065 by 1.\nAnswer: -11065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 8*n + 11. Let q be v(6). Let p = 0 + 4. Which is the nearest to 0? (a) q (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r**2. Let z(p) = -6*p**2 + 3*p + 3. Let w(b) = -7*b**2 + 4*b + 4. Let d(o) = -3*w(o) + 4*z(o). Give k(d(f)).\nAnswer: -45*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13890, 35654, 57432, 79230, 101054, 122910, 144804?\nAnswer: 166742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -27*i + 29. What is w(-6)?\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-434.9.\nAnswer: 43.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c + 2*q - 23 = 0, 5*c + 2*c - 7106*q + 3550*q = -3555*q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*c + 910, 3*c - 304 = -g - 103. Calculate the smallest common multiple of 33 and g.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54289*s - 54289*s + 8*s**3.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 + 656b12?\nAnswer: 656b02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 824280?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 - 12*v - 13. Let y be q(-7). Let r = y - -24. Let z(g) = -g**3 - 2*g**2 + 3*g + 2. Calculate z(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t**2 + 30*t - 10. Calculate the remainder when z(6) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 1)*(-5 - -4). Suppose 3*l - z*y = -417, -2*y - y - 15 = 0. Let r = l - -209. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 - -8432286889677.\nAnswer: 8432286889670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61128 by 6.\nAnswer: 10188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*s**2*t**3*u + 3*s**2*t - 8*s**2*u + t**3 + 2241*t*u with respect to s.\nAnswer: -38*s*t**3*u + 6*s*t - 16*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 234696 divided by 7\nAnswer: 33528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**5 - 2*n**5 + 0*n**5 - n**2 + (0*n**2 - 2*n**2 + 4*n**2)*(2*n**3 - 4*n + 4*n).\nAnswer: 5*n**5 - n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 + 2*k - 4. Let f(i) = -i**3 - 5*i**2 + 5*i - 7. Determine 2*f(s) - 5*l(s).\nAnswer: -2*s**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from ldlcbnbnlcnbbbnbblb.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2194, -6550, -13792, -23920, -36934?\n\"Answer: -1443*n**2 - 27*n - 724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 517, 438, 359, 280, 201?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o - 6*o**2 + 0*o)*(4*o - 1 + o - 7*o) to z*o + f + n*o**2 + m*o**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - f = 3*o + 91, 5*f + 2*o + 403 = 0. Let c = f + 239\/3. Let k(s) = -s**2 + 6*s + 2. Let w be k(6). Which is smaller: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1532 and 10.9.\nAnswer: 1542.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2. Let y(h) = -9*h**3 + 6*h**2 + 9. Let v(k) = 6*r(k) - y(k). Find the first derivative of v(q) wrt q.\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2383 is divided by 46.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-8)*(v\/((v**(-12)\/v)\/v*v))\/v)**46 assuming v is positive.\nAnswer: v**230","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(704) + -3)*6)**2 + 4*((sqrt(275) + 0)**2 + sqrt(11)) + 5.\nAnswer: -1724*sqrt(11) + 26773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/3 (b) -2\/63 (c) -1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1, -9, -25, -47, -75?\n\"Answer: -3*j**2 - j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -15*h**4\/4 + 2885*h**3\/4 + 339705*h**2\/4 - 5406185*h\/4 + 882105\/2 = 0.\nAnswer: -93, 1\/3, 14, 271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**5\/5 - j**4\/2 - 11*j**3\/3 + 6*j**2 - 936. Find o, given that g(o) = 0.\nAnswer: -3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-9)\/78*(-30)\/(-45))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 132*b**2 + 57*b + 217. What is the tens digit of x(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/7, -0.3, 7, -2\/5, 1, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -7. Let x = -2 - t. Let v(f) = -1 - 3*f - x + 1. Give v(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.208 (b) -0.2 (c) 0.05 (d) -3\/7 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/2 + 338*d - 57122.\nAnswer: -(d - 338)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 460 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: What are the prime factors of 10772422?\nAnswer: 2, 41, 131371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8, 17, 82, 205, 404, 697, 1102?\n\"Answer: 3*k**3 + 2*k**2 - 2*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 8*b**2 - b - 8. Suppose 18 = 5*q + 3. Suppose -4*m - 44 = 3*g, -q*m - 2*g = 36 - 4. Let l be p(m). Solve -i + l*i = -2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -18*h**2 - 33*h - 6. Suppose 2*c = -17*c + 19. Let x(q) = q - 1. Let f(t) = c*l(t) - 6*x(t). Find the second derivative of f(r) wrt r.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqvqdlqlllxqt. Give prob of sequence vllq.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17850 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 208 times 200\nAnswer: 41600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-44) + 6\/(-33). Solve 0 = -x - k + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/13, -3, -0.4, -0.2, -4.6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 4*w + 11. Let g be c(5). Let u(j) = -j + 14. Let t be u(g). Solve r = 2*k + k - t, -3*k + 9 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 664336 and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.078279926 and -247.639.\nAnswer: -247.560720074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**3 + 213288*g**2 + 4266360*g + 21332800 = 0.\nAnswer: -10, 106664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5\/3*(14 + (-148)\/10)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - f = -0 - 1, -4*u = -5*f + 7. Let o be (-1)\/u*(4 - 4). Suppose s + 2*d - 6 = o, 4*d + 12 = s + s. What is the least common multiple of 21 and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 166*d**3 + 161*d**3 - 328*d**3 + 31*d**2 + d in the form q*d**3 + g + j*d**2 + c*d and give j.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132 (base 5) to base 16.\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, p: 1, i: 1, y: 2, o: 1}. Give prob of sequence pb.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3 + sqrt(684) + sqrt(684) + sqrt(684) - 6*(3 + sqrt(684)))**2*5*4 + 5.\nAnswer: 10800*sqrt(19) + 127625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -11*r**3 + 11*r**2 + 2*r - 19. Let j(q) = 4*q**3 - 4*q**2 - q + 7. Let i(p) = -3*b(p) - 8*j(p). Suppose n = 3*d - 9, -9 = 3*n - 0. Determine i(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424 - 1005*z + 1964*z - 55 - 963*z.\nAnswer: -4*z + 369","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 4, 8, 12, 16, 20?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 1 - u**2 - 5 - 2*u**2 + 4*u**2 - 3*u**2 + (4*u - 2*u - 4*u)*(u - 1 + 1) + 4*u**2 + 0*u**2 - u**2 to k*u + s*u**2 + w and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -0.58\nAnswer: -0.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/39)\/((-4)\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -2, 0.04, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q - 39*q + 54*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 58596*o. Let p(t) = -2*t - 28. Calculate p(i(n)).\nAnswer: -117192*n - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - r**2 + r. Let u(a) = -4440*a**3 + 37*a**2 - 37*a. What is 37*l(w) + u(w)?\nAnswer: -4403*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3069 and 108345.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 4:28 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1910 + 71*i - 39*i - 1910.\nAnswer: 32*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.2, -76\/17, -2, -1, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*t. Suppose 0 = -4*k - t*k - 232. What is the remainder when k\/(-7) + (-10)\/35 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5)*(-2*n**5 - 3*n**2 + 3*n**2) - 4611*n**5 + 3590*n**5 - 4799*n**5 - 11616*n**5 - 1271*n**5.\nAnswer: -18709*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -410 + -3?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/5 + 7070522\/230. Suppose 17*b + 5019 - u = 0. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(5\/8)\/(q**(4\/7)*q) assuming q is positive.\nAnswer: q**(-53\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*h = -m + 14, 5*h - 10 = 0. Calculate the highest common factor of m and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 456 = 3*v, 0 = 3*s - 0*s. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**4\/24 - 8*l**3\/3 + 47*l**2. Let c be t(19). Solve p + 1 = -h, p - 2 + 15 = c*h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbq when three letters picked without replacement from qbbbq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 7:14 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2653 and -0.5933?\nAnswer: 0.8586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 8. Let d = r + 3. What is the third biggest value in -1\/3, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 34*g**3 - g**2 + g + 1. Let x be ((-8580)\/80)\/((-9)\/(-24)). Let q = -287 - x. Calculate z(q).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2469, -2445, -2377, -2241, -2013?\nAnswer: -1669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1046200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4161 and 46647.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzzuuuz. What is prob of picking 2 u and 1 z?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 266968463 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (-8 + -1 - -1). Suppose p*h + 2 = 17. Is h bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/9 and 67\/150.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1148236 divided by 287059.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -112 + 116. Sort d, 2, -3 in descending order.\nAnswer: d, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*t - 2 = 0, 5*j - 4*t + 0 - 5 = 0. Let s(r) = -3*r - 3 - 2*r + j - r**2. Suppose -3*m - 7 - 2 = 0. Calculate s(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5608 - -12344. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 502305.1 litres?\nAnswer: 502305100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from onosnnnnnsss.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -32 + 32. Suppose -2*p + y*p = -9158. Let i = p + -3180. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 167*i**3 - i**2 + 95*i - 3 wrt i?\nAnswer: 1002*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000111110010 + 11010101101?\nAnswer: 10100010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 0) + (2 - 1)*30. Suppose -2*z + 20 = -3*y, -4*y = -3*z - 0*z + o. Let h be 1 + -1 - y\/2. Solve 25 = 5*f - h*x, 2*x = 4*f + 3*x - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10220 by 2044.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(98)\/sqrt(28) - (sqrt(896) + -2*sqrt(896)))\/(sqrt(56)\/sqrt(7) - 2*sqrt(2)*-3) + 5)*1.\nAnswer: -17*sqrt(7)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 12 = 2*c, -2*c + 40 - 29 = 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -11, -21, -31, -41, -51?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2*-580753.86\nAnswer: -1161507.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 3*x - 2. Let q be l(-4). Suppose -q = -4*c + 3*o + 23, 2*o = 5*c - 40. Sort 0, c, 3 in descending order.\nAnswer: c, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 1:52 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -705*m - 17064 + 1144 - 8050 for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 141 - 23.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -75.960967.\nAnswer: -70.960967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(1*-2 - -1). Let v(f) = -f + k*f - 2*f. Let y(t) = 14*t**2 + 0*t**2 - 8*t**2 - 4*t**2. What is v(y(p))?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(76)*-1*1)\/(sqrt(100)*-4*-1))**2.\nAnswer: 19\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6452, -12903, -19358, -25817?\nAnswer: -32280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(160\/520*1\/(-4)). Solve -l*d = 4*d - 17 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3692693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2*q)\/q*q**(3\/4)*q**(-5)*q**(2\/17)*q*q*(q*q\/(q*q*(q*q**0*q)\/q*q)*q)\/(q\/q**(1\/3))*q*q**(1\/7)*q**3 assuming q is positive.\nAnswer: q**(3347\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24644, -98581, -221818, -394361, -616216?\nAnswer: -887389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1714624 and 21024?\nAnswer: 15431616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, -1.\nAnswer: -7, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 13*u - 8. Let d be q(-5). Let n be (1 - -2) + (-4 - d). Let k be 770\/98 + 2\/14. Calculate the highest common divisor of n and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18270)\/(-8352) - (-3 + 204\/64). Let c be ((-12)\/2)\/((-2)\/4). Solve -4*p = 4*i, l*i = 5*p + i - c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-2)*(-100)\/(-6). Solve 3*m = -2*m - n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from dbzjzbczdbu.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7836576 and 5699328.\nAnswer: 62692608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12405 (base 10) to base 11.\nAnswer: -9358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than 38\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.112887 + -2\nAnswer: -2.112887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93 - 71. Let x be (-3 + (-34)\/(-10))*55\/i. Solve 5*s = -3*l - 2, -3*s = -7 + x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/39 - (-712)\/104. Let c be 85\/20 + 1\/(-4). Let j(v) = 6 + c - 6*v**2 - v - 6*v. Let q(a) = 2*a**2 + 2*a - 3. Give n*q(s) + 2*j(s).\nAnswer: 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -1. Let r(m) = 2*m**2 + 2. Let p(i) = i**2 + 3. Let h(a) = z*r(a) - 2*p(a). Let w(n) = -n**2. Give h(w(j)).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -30*d - 314 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**4 - l**4 + 2*l**4 + (164*l**3 + 57990*l - 57990*l)*(-2*l + 3*l - 5*l) - 3*l + l**4 + 3*l.\nAnswer: -656*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, r: 4, s: 7}. What is prob of picking 2 r and 1 s?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 282775109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.932442 rounded to 1 decimal place?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-30) - (264\/(-28))\/((-18)\/28).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 348882*f - 14672*f + 2.\nAnswer: -363554*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from vbkmvmfbvbm.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1364 + -1020?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-19 - (12 - (15 - 10)))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u - 9. Let j be s(3). Suppose -15*a + 13*a = j. Determine m, given that -2\/9*m**4 + 2\/9*m**3 + a + 2\/9*m**2 - 2\/9*m = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 3*q + 11, 3*x - 3*q = -2*x + 17 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51241 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*9\/(-2) + 58\/232*-35. Factor 9\/2 - 3\/4*r - g*r**2.\nAnswer: -(r - 3)*(r + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 342428507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 0*z**6 + 47\/24*z**4 + 0*z**3 + 0*z + 0*z**5 - 20 + z**2 - 8\/35*z**7. Find the second derivative of q(c) wrt c.\nAnswer: -576*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**5\/5 - r**4\/12 + r**3\/6 + 201*r. Give y(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.839351 millilitres?\nAnswer: 0.004839351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**15*w**(1\/16) assuming w is positive.\nAnswer: w**(-223\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/30)\/((-3)\/3). Let z = h - -5\/6. Which is the third smallest value? (a) -1 (b) 4\/7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**4 + 117*h**3 - 804*h**2 + 1908*h - 1488 = 0. Calculate h.\nAnswer: 2, 4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-270)\/375)\/9*-5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/sqrt(20) + (sqrt(68)*-4 + sqrt(68))\/sqrt(4))*-4.\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 313866.3ns?\nAnswer: 313.8663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 5*w - 2, 5*w - 4*w - 4 = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 822*h**2. Let x(w) = 6518*w. Give t(x(l)).\nAnswer: 34922114328*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 divided by 406938?\nAnswer: 62\/203469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 x, and 1 z when three letters picked without replacement from {t: 3, x: 1, z: 2, j: 6, i: 2}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 786 + -163. Calculate the highest common factor of j and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 2)\/(-4)*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 - 4*a**2 - 4. Let k be o(-3). Calculate the highest common factor of 1792 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11921633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 693 and 252?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o**2 + o - 7. Let c(n) = 2*n**2 + 4. Let f = -8633 + 8628. Give f*c(h) - 3*p(h).\nAnswer: 2*h**2 - 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2. Let o(c) = -2773*c**2 + 50*c + 10. Let x(m) = -5546*m**2 + 110*m + 22. Let r(k) = 11*o(k) - 5*x(k). What is g(r(q))?\nAnswer: -7689529*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16824.78 centuries to millennia.\nAnswer: 1682.478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -359675\/6 - -60139. Let a = l + -193. Put 2\/19, -5, a, 15 in decreasing order.\nAnswer: 15, a, 2\/19, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 28 = 3*h. What is the hundreds digit of -1 + (207 - -1) + h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puupn. Give prob of sequence pn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/11 (b) 2\/23 (c) 0.4 (d) 6 (e) 0.049 (f) 0 (g) 0.12\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 6) to base 15.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 1\/4, -10, -0.1, -10.9, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -33?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4301211 (base 5) to base 7\nAnswer: -420035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 142324 and 274176?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1701521 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -7*i**2 - 2 + 2*i**2 + 2*i**2 + i**3 + i - i**2. Let g = -8 - -15. Suppose -5*k + g = -8, -21 = -5*l - 2*k. What is y(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 119, 246, 435, 692, 1023, 1434, 1931?\nAnswer: 2520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 7312 = -2*j, 2*j = -3*z + 4901 + 17035. What are the prime factors of z?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -6 + -1 - -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -153d6 (base 15) in base 12?\nAnswer: -336a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**3\/3 - 524*g**2 - 3748*g\/3 - 416 = 0 for g.\nAnswer: -312, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 157*g**2 + 2*g. Let c(r) = -5*r. Give n(c(p)).\nAnswer: 3925*p**2 - 10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/2 - -2)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**2 - 8*x**2 - 2*x**2 + 3*x**2. What is i(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27a12 (base 12) in base 9?\nAnswer: 83425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23213*r + 7784*r + 7714*r + 7711*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-10))\/((-2)\/15). Let z(n) = n**2 - 9*n + 1. Let k be z(q). Sort -0.4, k, 0.2 in descending order.\nAnswer: k, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 953803?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22276667377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6530843 and 52033?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 305028.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*m - 30019 = 5*m, -4*v + 40018 = -5*m. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -112, -834, 3.\nAnswer: -834, -112, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2023*j + 2147*j + 248 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 - 116*u + 65. What is i(-59)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -12*w**2 - 3. Let f(p) = 161*p**2. Calculate r(f(s)).\nAnswer: -311052*s**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 147 = 58*g. Is g*((-329)\/21 + -3) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(114) - -5*sqrt(114)*2)\/((1*sqrt(60))\/sqrt(10)) - ((3*(-1 + sqrt(19)) - -1*sqrt(2736))**2 + 4*(0 + sqrt(684) - sqrt(684))))*-4.\nAnswer: -404*sqrt(19) + 17120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*r + 4, -5*z + 2 = -r - 7. Suppose 4*d = -8 - 8, 0 = -c - 3*d - 9. Factor -11\/2*y**c - 7\/2*y**5 - y**z + 0 - 8*y**4 + 0*y.\nAnswer: -y**2*(y + 1)**2*(7*y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31, 86, 69, -110, -541, -1314?\n\"Answer: -15*l**3 + 54*l**2 - 2*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + (sqrt(144)*-2*4 - sqrt(144))\/sqrt(12)))**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 5690196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6291 - 35?\nAnswer: 6256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (-17 + -11)) + -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -116, -273, -492, -773?\nAnswer: -1116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*q + 26*q**3 - 29*q**3 - 29*q + 84 + 47*q as o*q**2 + y*q**3 + l + n*q and give l.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 4*c**2 - 9*c + 23. Give p(4).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*r = 5*h + 200, 4*r - 400 = 2*h. Does 10 divide 4\/(16\/r) + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 294897\/21 + (10 - 612\/63). What are the prime factors of n\/9 + 18\/27 + -1?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2 - 2*q**2 - q**3 - 3 - 5*q**2 + 6*q - 6. Let t be l(-8). Solve t*v - 1 = 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90848?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -139+-3963\nAnswer: -4102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -196715, -393432, -590149, -786866, -983583?\n\"Answer: -196717*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 21*p - 1. Let o be f(-1). Which is smaller: -23 or o?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 4*u - 1. Let p be x(-4). Let t be 1\/(2\/(-8))*p. Solve 2*k - 6*k - t = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48353 is divided by 90.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/704 and -83\/320?\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 81647153 divided by -10?\nAnswer: -81647153\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-6))\/((-25)\/(3825\/(-68))))\/(2646\/2016).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 5*u + 25 = 0. Suppose l - 4*g - 2 = -16, -u*l = g - 14. Suppose 3*n - 59 = -s, 3*s = n - 2*n + 33. What is the greatest common factor of l and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81545 is divided by 762.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 1.5. What is the biggest value in u, 0, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -310, -5, 7 in descending order.\nAnswer: 7, -5, -310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 147839866 to the power of 1\/2, to the nearest integer?\nAnswer: 12159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7635, 2 in increasing order.\nAnswer: 0, 2, 7635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (0 - (-132)\/(-2)). Suppose 3*o = 4*x - 259 - 13, -x + 2*o + v = 0. Is (-4)\/(-34) + 30116\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/((-15600)\/(-64))*(-10)\/4.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6671649395?\nAnswer: 5, 1334329879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*d + 54781*h - 54786*h, -6*d + 5*h + 36 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*k, -3*n - 4*k = -168 - 23. Suppose -2*h + n = 15. Let o = -133 + 322. What is the highest common divisor of h and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 4*x**3 - 3*x - 478. Let g(z) = 13*z**2. Calculate g(n(h)).\nAnswer: 1872*h**4 - 936*h**2 + 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6123 + 13688 - 1372 = 705*u - 3416 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-34)\/(-8)*5\/(-10) and 44.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - v + 3*v - 8, 3*u + v + 8 = 0. Let o = 0.4 - 0.2. What is the closest to 1 in o, u, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**6*k)\/k)\/k**2)\/(k**(1\/16)*k*k**(-12)) assuming k is positive.\nAnswer: k**(255\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -434527 or -493?\nAnswer: -434527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6631 and 173869.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 9 - 231*u**2 + 12*u**2.\nAnswer: -219*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224.376 millilitres to litres.\nAnswer: 0.224376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 377\/4 - 93. Find the common denominator of (-4)\/18 + 777\/(-270) and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 28 = 4*q, -5*q + 4*g + 178509 - 178474 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 28*v**3\/3 - 113*v**2 + 1019*v. Give q(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -49? (a) -19 (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9287, 73922, 249363, 591014, 1154279, 1994562, 3167267, 4727798?\nAnswer: 6731559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (144\/(-56))\/((-8)\/(-4074))*-2.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-18)*((-297)\/30)\/(-33)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 0*u + 3*u + 5023, 4*u - 2030 = -2*i. Suppose 6*z - i = 1309. List the prime factors of z.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -89475 and 15.8.\nAnswer: -1413705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(((i\/(i*(i*(i*(i*i**(2\/37))\/i*i*i)\/i*i)\/i))\/i)\/i))\/(i\/i**(-1))*i**(-2\/11)\/(i**(1\/13)*i) assuming i is positive.\nAnswer: i**(20081\/5291)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyy. Give prob of sequence yyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 10:05 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*b**2 - 13*b**2 + 3789 + 6952 - 10*b**2 + 3188 as z + f*b**2 + s*b and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 1*(-4)\/(-22) - ((-242280)\/44)\/9?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4801376kg in grams?\nAnswer: 480.1376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.131 - -89038.548.\nAnswer: 89042.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.528501 - -0.171543. Let z = t - 2.7. Round z to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*o**3 - 2*o + 43*o - 14*o**3 to the form d + i*o + b*o**3 + x*o**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 61. Let p = r + -49. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 10*z + 16. Let w be o(11). Suppose 33 = 16*c - w*c. Solve -c = -2*j + 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 4*y**2 - 4*y + 5. Let g be x(-4). Suppose 0 = 2*b + b - g. Let t(c) = c**2 - 7*c + 9. Is t(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20, 2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 43, 77, 95, 97, 83?\n\"Answer: -8*r**2 + 58*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4314 or 0?\nAnswer: 1\/4314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 51973 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from jzuuzuuuujzuuluuuzz?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4235846 + -8?\nAnswer: 4235837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + 3 - 3)*(5*u**2 - 2*u**2 + 2*u**2) - u**2 - 2*u**3 + u**2 to the form h + i*u**3 + y*u + g*u**2 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 360\/7 - 2\/7*t**2 + 16\/7*t.\nAnswer: -2*(t - 18)*(t + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 3*o + 410, 3*k + 227 = 7*o - 5*o. Let b = k + 91. Solve b*l + 8 = 16*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2\/3 - 74617*p\/3 - 298484\/3 = 0. What is p?\nAnswer: -4, 74621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346 - 641 = -7*x. What is the units digit of (-15)\/(-9)*3 + x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**3 - 105*t**2 + 808*t + 386. Calculate m(43).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 708 and 4683066.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.2 + -5.2. Sort 5, p, 1\/5, 1.\nAnswer: 1\/5, 1, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/400 and 127\/1960.\nAnswer: 19600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 42 (b) 1 (c) -1 (d) 0 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 991296 and 80?\nAnswer: 4956480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 4*q + 0*q)*(2*q**2 + 0 + 0 + (2*q + 2*q**2 - 2*q)*(0 + 4 - 2) - 293*q + q**2 + 328*q + q**2).\nAnswer: -8*q**3 - 35*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*m + 2*v - 1754, -m = 5*v - 443. Suppose -17*q + m = -15*q. What is q rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 25*y - 4*y - 8*y + 11*y.\nAnswer: -29*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a centimeter in millimeters?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 450 + -449. Let a = -1.5 - -1.6. What is the closest to 1\/2 in a, c, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f - 0*f. Let l be 22\/12 - 5\/(-30). Let u(x) = -3*x**2 + 3 + f + l + 4*x**2 - 7*x. What is u(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((1 - 0) + 0)*1. Let c(r) = -11*r**3 + 8*r**2 - r. Let l(i) = -i**3 - i**2. Let d(j) = g*l(j) + c(j). Suppose d(u) = 0. What is u?\nAnswer: 0, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 6:26 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 7. Let i be v(5). Let c(u) = u - 4. Let a be c(i). What is the units digit of (-1 + a)*4\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/12*15\/10. Let x(y) = 2*y + 3. Let z be x(h). Solve 4*c + 12 = 2*j, z*c = j + 4*j - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 302300041 (base 5) to base 4\nAnswer: 10220001221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -12. Let v(a) = 5*a**3 - 4*a**2 + 5. Let m(i) = i**3 + i**2 + 1. Let s(n) = y*m(n) + v(n). Differentiate s(j) wrt j.\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(720))*-2 + 5 + 2*(sqrt(20)\/sqrt(4) + 2 + -1*sqrt(5) + 2))**2 + 5)*-4.\nAnswer: -12696 + 3264*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 110, 215, 320, 425, 530, 635?\n\"Answer: 105*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145956 to the power of 1\/2, to the nearest integer?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 - 16*s + 21. Suppose 57 = -2*o - 4*u + 71, -5*u + 21 = 3*o. Determine q(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 26.3. Let c = 1.36 + y. What is the closest to 1\/2 in -2\/11, -2\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5721768?\nAnswer: 2, 3, 13, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i**3 + 30*i**2 + 70*i + 12. Give m(-2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, e: 12, l: 7}. What is prob of sequence xe?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -7) + 63 + -81.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - b09?\nAnswer: -b09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7 and 3056625985412.\nAnswer: 3056625985419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -s - 13, -8*s + 3*s + 2*c = 65. Let j(l) = l**2 + 11*l - 18. What is the units digit of j(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -52114770569111.\nAnswer: 52114770569116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z - 6*z - 2*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a**2*i*x + 5*a**2*x + a**2 + 80*a*i*x + 32*a*x - 2 with respect to i.\nAnswer: -4*a**2*x + 80*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2987 divide 2258379879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (26 + (-3 - 32)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(832)*4 + 3 - ((sqrt(39) + sqrt(351) - sqrt(39))*-5)\/((sqrt(3) + sqrt(12)\/sqrt(4))*3 + sqrt(3))) + 0.\nAnswer: -433*sqrt(13)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 13*j - 30 = 0. Suppose -z - 3*l = -5, -5*l - j = 3*z - 7*z. Solve z*a + 2*a - 16 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**4\/3 + 752*h**3 + 30800*h**2\/3 = 0. Calculate h.\nAnswer: -550, -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 457, 18, -409, -818, -1203, -1558?\n\"Answer: p**3 - 446*p + 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 - 156\/104*-4?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 11*j = -9*j + 10, -j - 5 = 0. Suppose -2*a - 4*b + 792 = q, -2*a + 427 = -b - 365. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 20*a**2 - 4*a - 60. List the prime factors of i(9).\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 16*h**3 - 2*h**2 + 3*h - 205. Let i(x) = 87*x**3 - 11*x**2 + 17*x - 1023. Determine 11*b(u) - 2*i(u).\nAnswer: 2*u**3 - u - 209","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*l - 39 - 13, 0 = 3*z - 2*l + 37. Let u = z - -23. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-3697 + (-5 - -1)). Let n = -1547 + z. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 8619.25806 seconds?\nAnswer: 0.01425141875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 32230313?\nAnswer: -32230313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q - 8*q - 10*q - 9*q + 27*q.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 55, -131, -317, -503?\n\"Answer: -186*u + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01 - 5.99. Let n(s) = s**3 + 6*s**2 - 58*s - 29. Let i be n(-11). Which is the closest to y? (a) i (b) 2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2185 - 807. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 8*l**2 - l - 5. Let v be s(-8). Suppose 2 = -2*f + 2*m, -m = -v*f + 1 + 2. Let i = 0.234 + 1.866. Which is smaller: i or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 13 + 5. Let w be t\/(-6)*(-18)\/16. Let m = w + 1\/2. Which is the closest to m? (a) -5 (b) 0 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1866*o - 1882*o + 64 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/15*(-5)\/66?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -336, 3, -779, 1, -8 in descending order.\nAnswer: 3, 1, -8, -336, -779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**3 + c**2 - 42*c + 133. Determine o(4).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7758 and 15516.\nAnswer: 15516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3\/3 - 15788*o**2\/3 + 78989*o\/3 + 126344 = 0. What is o?\nAnswer: -15793, -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1300 divide 13068900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52762786*f**5 - 19621*f - 1017?\nAnswer: 1055255720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -149 (base 12) to base 8\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9193*f*r**3 + 5*f*r**2 + 2135*f*r - 3*f + 3*r**3 wrt r.\nAnswer: -55158*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a**3 - 13275*a**2 + 79515*a - 119205 = 0.\nAnswer: 3, 2649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 776 - -130. Let x = -4531\/5 + q. Let k = 0.1 + 0.3. What is the nearest to 1\/3 in x, k, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 67721.1 tonnes?\nAnswer: 67721100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -8 + 3. Suppose -p*h - 15 = 10. What is the remainder when 8 is divided by h\/10*-18 - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73777 is divided by 620.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 2, p: 1, u: 1, b: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*302*6\/(-48). Let i be 3 + 7 + -2 + g. Are -144 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/7952 and 109\/420?\nAnswer: 119280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 2:03 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/9)\/v*v*v)\/v)\/v**(-14))**44 assuming v is positive.\nAnswer: v**(5500\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 4*j**2 - 7*j + 2. Let g be v(-5). Let r be (14\/8)\/(3\/g). Solve -2*a + r = 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/17 + 842*r**2\/17 + 88198*r\/17 - 89042\/17.\nAnswer: 2*(r - 1)*(r + 211)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13*(-70)\/(-182)*(-2)\/5. Which is the nearest to 11\/3? (a) m (b) 16\/3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - (-1126*(-4)\/(-24) + (-6)\/(-9)). Suppose 1 + 614 = -5*d. Let m = x + d. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40814979?\nAnswer: 3, 1489, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 847751551\/944 + -898042. What is the common denominator of 37\/16 and a?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36206081, -36206068, -36206041, -36205994, -36205921, -36205816, -36205673, -36205486?\nAnswer: -36205249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/3)\/((-2)\/(-12)). Suppose -m = -4*g - 18, -g = 2*f - 8. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 6:50 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7168, 7127, 7122, 7165, 7268, 7443, 7702, 8057?\n\"Answer: 2*t**3 + 6*t**2 - 73*t + 7233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 17*p**5\/5 - 9*p**3 + p**2 - 18. What is the third derivative of n(t) wrt t?\nAnswer: 408*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a year in months?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 + 3 + (-10 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {k: 2, n: 12, a: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2. Let c(d) = -7123*d**2. What is p(c(a))?\nAnswer: 50737129*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 6:33 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.033 - -0.033. Which is the closest to r? (a) 0.03 (b) 1\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millisecond in microseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1677*f**2 - f + f - 8720*f**2 + 1412*f**2 to the form p + x*f + c*f**2 and give c.\nAnswer: -8985","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, c: 2, a: 1, g: 3, r: 4}. Give prob of picking 3 g.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -342 + -2?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 110?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693 = -91*n + 39 - 74 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41892701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 91*z**2 - 385*z - 285. What is o(-95)?\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2242779 divided by 4.\nAnswer: 2242779\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**3 + 3*k - 3*k + (2 - 2 + 2)*(k**3 - 2*k**2 + 2*k**2) + 4*k**2 - k**3 + 0*k**2 - 5*k**2 + (5*k - 2*k - 4*k)*(0*k**2 + 3*k**2 - 2*k**2).\nAnswer: -3*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 229*f - 1897. Give s(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 3*a - 4*a)*(8 - 3 + 0).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -868*i**6 - 16*i**5 + 16571*i**2 + 4*i - 2 wrt i.\nAnswer: -104160*i**3 - 960*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1404*y + 4*y**2 - 8 - 1404*y + 7*y**2 - y**4 to the form j + f*y**4 + n*y**3 + b*y + w*y**2 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 - -1302323032?\nAnswer: 1302323012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1289*v**2 - 757*v**2 + 10*v + v.\nAnswer: -2046*v**2 + 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 2*m - 5*u + 28, 2*u = 4*m + 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 10*p - 1. Let j be s(-2). Let a be j\/(-6) - (-2)\/(-4). Solve -u = a*u - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 12*j. Determine o(-3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 3*u, 0 = -331*c + 335*c + 2*u. Solve 0 = -3*j - c*j + 4*f - 20, 5*j + 16 = -2*f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -197.5 less than -786184782?\nAnswer: -786184584.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137 + -25. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -3. Suppose 0 = 4*d - 16, 5*g = -2*d + 190 - 47. Let m(s) = g + 24 - 51 + s. Let w(p) = -2*p. Calculate a*w(z) - 3*m(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25853156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - 1*sqrt(1176))\/sqrt(4))\/((sqrt(2) - 2*sqrt(2))*5 + sqrt(128)*-2).\nAnswer: 2*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2379508427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 11*l - 45. Solve -l*u + 2*g = -u + 8, 2*u + g = -4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6196 and 2994217.\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 528458, 528459, 528460, 528461, 528462?\nAnswer: 528463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3535\/2124 at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, z: 4, h: 2}. Give prob of sequence hh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -67?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 + -24 + 13 + 1 + 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n\/(n**(-2)*n)*n)\/n)\/n*n)\/n*n)\/(n**(-7)*n))**(-1\/6) assuming n is positive.\nAnswer: n**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.011 - 27.689. Let w = d + 29. Let h = w + -0.3. Is h equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 + 16 + -22 + -15\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 730517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -4, 0.2, 0.5, 0.0494?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58478 and 28?\nAnswer: 116956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 59596515.\nAnswer: 5959651.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(528))\/sqrt(11) + (4*sqrt(9)\/sqrt(3) - (sqrt(36)\/sqrt(4))\/sqrt(3)).\nAnswer: 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 702399498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 6*u**3 + 5*u**2 - 5. Let q be 4\/24 - (-131)\/6. Let y(g) = 3*g**2 + g**3 + 105 - 106 - 2*g**2. Give q*y(b) - 4*j(b).\nAnswer: -2*b**3 + 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 570173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 2*w - 4*t - 32, 2*w - 20 = -2*t. Put -2, w, -5, 1\/7 in ascending order.\nAnswer: -5, -2, 1\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**2\/15 - 6\/5 = 0. What is m?\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x = -6*x - 833. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/14)\/((-4)\/(-14)). Let i(m) be the first derivative of -2 + 0*m**x + 0*m**2 - 3\/5*m**5 + 3\/4*m**4 + 0*m. Let i(o) = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-361 - -367) + (10 - 166).\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -172035961 divided by -2356657\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38)\/sqrt(2) + 3 + sqrt(19) + 0 - (-4 + -1 + sqrt(304))) + -4)**2 + 2.\nAnswer: -16*sqrt(19) + 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03797009 rounded to 3 dps?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 19*z**2 - 2*z + 3. Let f be y(2). Suppose -4*x = x - f. What is the greatest common factor of x and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 0.097617.\nAnswer: -0.0488085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (3 - ((6 - -4) + -5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmutg. What is prob of sequence tz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -57? (a) 82 (b) -175 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(68) + 1) + (4 + -1 + sqrt(68))**2.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 424\/(-136) + 6\/51.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (63 - 12 + 29)*(2*c**3 - c**2 + c**2) in the form g*c + d + t*c**2 + k*c**3 and give k.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 7*w**2 + 5*w - 1. Let s be c(-6). Let v(y) = y**3 - 4*y**2 - 4*y. Let h be v(s). Suppose -h*f + 126 + 4 = 0. Does 21 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l**2 - 4*l - 4. Suppose -40*s + 2*y - 8 = -38*s, s = -y. Determine o(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 124 = 4*b, -14*b - 142 = -4*v - 12*b. Calculate the greatest common factor of 356 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2025)\/(-450))\/(117\/6)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 3. Let r(h) = -2*h + 6. Let d(y) = 7*a(y) - 4*r(y). Let w be d(3). Let l be w\/(3\/(3\/(-2))). Solve -n + 2*n - 4 = l for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**5\/6 + h**4\/2 + 11*h**3\/3 - 37*h**2\/3 + 25*h\/2 - 25\/6 = 0 for h.\nAnswer: -5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -61*i - 0*u + 116, 602*i + 4 = 600*i - 2*u - 2*u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(7))*-3 - sqrt(7)*1*2.\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76 - 49. Suppose 10*w = -4*w + 1134. What is the highest common factor of w and o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 131, 461, 1141, 2297, 4055?\nAnswer: 6541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 times -62?\nAnswer: 1922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 752421415 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.18, -2, 1\/8, -1\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 267 = 313. Suppose -550*a = -552*a - y. Which is bigger: 1\/2 or a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11250 - -11346. Solve -b*w + 97*w = -3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7*(-133)\/98)\/(((-3)\/3)\/((-120)\/20))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ttttgttgtyyyyv?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12845 - -12842. Let z(d) = -d**2 - 43*d + 1. Let q(k) = 2*k**2 + 87*k - 2. Give g*q(m) - 7*z(m).\nAnswer: m**2 + 40*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, 5, -3, 17, 1 in ascending order.\nAnswer: -66, -3, 1, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42868 - -42873. Let t = -0.2 - -0.2. What is the closest to -8 in p, t, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/5 - (4 - (-63)\/(-15)). Let s = -2\/25 - -12\/25. Solve -2\/5 - 2\/5*b - o*b**5 + 4\/5*b**2 + 4\/5*b**3 - s*b**4 = 0 for b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 16*d - 19. Let j(l) = -11*l - 2. Let i be j(-5). Suppose -3*k = 4*c + i, -58 - 14 = 5*c - 2*k. What is the units digit of b(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2950 + 2949.5. Sort h, -1\/9, -40 in ascending order.\nAnswer: -40, h, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9996)\/1764*(-3)\/1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.78, -0.1, 1, -19.\nAnswer: -19, -5, -0.78, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/8)\/k*k*k\/((k*k**(-4\/3)*k)\/k))\/(k**(5\/3)\/k*k*k**(-6)*k)*(k**(-1\/4)*k\/(k\/(k\/(k**2*k))))\/(k**(-3\/4)*(k*k**(3\/4))\/k) assuming k is positive.\nAnswer: k**(49\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -18c8 (base 14) to base 3\nAnswer: -20011020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 227, 902, 2027, 3602, 5627, 8102, 11027?\nAnswer: 14402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 14*v + 7. Let w be n(-15). Let z = w + -18. Calculate the remainder when 8 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1878?\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -160 + 161. Sort 0, 63, g.\nAnswer: 0, g, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**8\/20160 - k**5\/15 + 2*k**2. Let n(y) be the third derivative of o(y). Let j(d) = 7 - d - 7. Determine j(n(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 738538 is divided by 6422.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/((-9)\/(-6)))\/1. What is the third derivative of -o*y**4 + 2*y**2 - 4*y**4 + 8*y**4 wrt y?\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**5 - 40*k**4 + 25*k**3 + 250*k**2 = 0. Calculate k.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 - 507472*v**2 + 1014932*v - 507464.\nAnswer: 4*(v - 126866)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*g + 8*g - 6*g)*(-13 - 1 - 1)*(g - 8 + 8) in the form d*g + l + r*g**2 and give r.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + sqrt(539) + 1*(sqrt(44) + sqrt(11)) + sqrt(11) + sqrt(22)\/sqrt(2)*4.\nAnswer: -5 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.037305238 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 16*c - 3. Let r be w(-12). Let v = r - -87. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 82035 + 718 = 0. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -1.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19806*a**4 + 18*a**2 - 158.\nAnswer: 475344*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 416107839?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1220 divided by 305.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6087 is divided by 226.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.135*-38507\nAnswer: 5198.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 - 1. Let j be h(3). Let g = -16 + j. What is the highest common factor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 139 + 1. Let f = q + 36. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2035 divided by -39?\nAnswer: 2035\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -626, -1247, -1868, -2489, -3110?\nAnswer: -3731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 249 and 4316?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 5*l**2 - 710*l - 65920 = 0.\nAnswer: -64, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37893545?\nAnswer: 5, 7578709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k**2*p**2 - k**2*p + 592*k*p**2 + 21670*p**2 wrt k.\nAnswer: -4*k*p**2 - 2*k*p + 592*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + 3 - 3 - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + l + 7*l - 11402*l**3 - 4*l + 11107*l**3.\nAnswer: -295*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v + 5*q + 21 = -23*v, -2*v - 2*q = 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8479*j - 8470*j + 29*j**3 - 8481*j + 25430*j.\nAnswer: 29*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1110100001 (base 2) to base 3\nAnswer: 1021102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o + 14287 + 7*o - 14355.\nAnswer: -o - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -160856*z**2 + 2*z + 15 + 80424*z**2 + 80444*z**2 + (0*z + 3*z - 5*z)*(-3*z - 4 + 4).\nAnswer: 18*z**2 + 2*z + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/90)\/(4\/20)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + (sqrt(7) + 2)*6 + sqrt(343) + -1 + sqrt(7) + -2)**2 + -3.\nAnswer: 336*sqrt(7) + 1509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 + 0.5. Let v = 0.6 + c. Let s = v + 0.2. Which is smaller: s or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = f + 2. What is the lowest common multiple of 27 + -1 + f + -1 and 33?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076760 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.037 + -0.463. Which is the second biggest value? (a) -5 (b) 3\/4 (c) w (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24*1)\/((-6)\/9). Let r = a + 26. List the prime factors of 4\/(-6)*30\/r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 71*q = 76*q + 20, -4 = 4*w + q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12606 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: Solve 35*l + 22*l + 230 = 34*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92*410.\nAnswer: -37720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12213133 (base 4) to base 3.\nAnswer: -1101011211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5372746.47 milliseconds?\nAnswer: 0.008883509375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 183.3221 decades?\nAnswer: 18.33221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/55)\/(4\/50).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35206 + -10795. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 17 - 5. Let l be (-2 - m)\/((-2)\/(-3)). Suppose 3*k - 12 = l. Calculate the greatest common divisor of 12 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*z + 2*z - 25*z)*(5 + 2 + 12)*(-3 + 1 + 3)*(-3 - 2 - 3)*(-4 - 1 + 4).\nAnswer: -1672*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8 = v. Solve 0 = v*j - 7*j - 15, n + 4*j + 19 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/6 and 47\/217566.\nAnswer: 217566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 21*b**2 + 2*b + 101. What is the remainder when z(-21) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 10:06 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 212, 330, 486, 674?\nAnswer: 888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 7175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/6 - 725*n**2\/2 + 25967*n\/6 - 7931\/2.\nAnswer: (n - 2163)*(n - 11)*(n - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1\/7)\/((870\/1015)\/(-3))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 1. Let j be l(1). Calculate the common denominator of 146\/44 + j + -2 and ((-9)\/(-12))\/((-180)\/(-870)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6148380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 5:36 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1 + sqrt(1088) - sqrt(1088))*-6 + sqrt(1088) + 3 + sqrt(1088)*-1 + 2)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98693660 is divided by 16448940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98483221.\nAnswer: 98483221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvyyyvereuve. What is prob of picking 1 v, 2 e, and 1 y?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven quarters of a millisecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2593 and 9?\nAnswer: 23337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (159\/(-78) - -2) + 1838970\/114660.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2111032 - 2000322?\nAnswer: 110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -3)\/((-3)\/3). Suppose -1247 = -5*b - 2*k, -5*k - 4 - 16 = w. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -91, -356, -783, -1366, -2099, -2976, -3991, -5138?\n\"Answer: k**3 - 87*k**2 - 11*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4249 + -0.3249. Which is the nearest to w? (a) 0 (b) 0.1 (c) 20\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, y: 3, z: 2}. What is prob of sequence yiy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 224\/(-70) + 2 + 0*(-4)\/(-8)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49877671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*m - 440, 0*v - 4*v + 5*m = -319. Solve 5*a + v - 101 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 5*l - 98 = 8*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuul when four letters picked without replacement from uulluuuu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/(-9)*3*-2. Let g be m*(-625)\/30*-2856. Round g to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10304010 is divided by 7360?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5 - 1 = -t, 0 = -5*p + 3*t + 12. Let y(r) = -2*r + p*r + r. Let x be -1*(10 + 1 - 0). Let l(f) = -5*f - 1. Give x*y(j) + 2*l(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66939831411\/1626061 - -332286\/15787. Let c = -41145 - k. Let p = 6771\/412 + c. Find the common denominator of p and 13\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65\/18 + 7\/2. Which is the nearest to 5? (a) 0.2 (b) 2\/13 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17698.01 to the nearest ten.\nAnswer: 17700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163 = 35*k + 47 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -185207, -185243, -185303, -185399, -185543, -185747, -186023, -186383?\n\"Answer: -2*s**3 - 22*s - 185183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3686 and 10606712?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 29*p - 1148. Calculate the remainder when m(90) is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32.8 + 33. Put -8, a, 2\/3 in descending order.\nAnswer: 2\/3, a, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418214 = -3*m + 4*c + 12127, 3*m + c - 430326 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 482038297 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 13. Suppose -4*b = 2*l - 0 - 2, f*b + 2*l = 2. Is b at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -24, -40, -60, -84?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -641264.51 - -117.0939?\nAnswer: -641147.4161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 c when three letters picked without replacement from {z: 6, c: 4, q: 1}?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, i: 1, z: 2, s: 1, b: 1, m: 2}. What is prob of sequence msm?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5177 or -98340\/19?\nAnswer: -98340\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 26*i**2 - 5*i - 7. Let k be q(-2). Calculate the greatest common factor of 1819 and k.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o**3 - o**2. Determine p(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 b when two letters picked without replacement from mmwglwbmlbmb.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/15)\/(6\/(-45)*-3). Let c(m) = -m**2 + 4*m. Let g(w) = 4*w**2 - 21*w. Calculate u*g(k) - 11*c(k).\nAnswer: 3*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/9 - 64*u\/9.\nAnswer: 2*u*(u - 32)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, -0.01, -0.4, 2.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 11*a**2 - 3*a - 12. Suppose -5*y - 86 + 31 = 0. What is the remainder when 40 is divided by m(y)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45\/2 - 22. Suppose -m + 15 = 5*j - 9, -4*m + 2*j = -8. What is the nearest to m in 0, p, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqpqqvpvvqvqvpqvp. What is prob of picking 2 p and 2 v?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 72.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 3*b + 145 = h, -2*h = -b + 46. Let p be (-2)\/(-6) - (-430)\/6. Calculate the greatest common divisor of b and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmm when three letters picked without replacement from {q: 5, m: 2, c: 3, p: 1, x: 1, o: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -8*c + 6*c - 5 - 5*c + 3*c. Let y(s) = 3*s + 6. Let j(l) = 2*l + 6. Let i(f) = 2*j(f) - 3*y(f). Give -3*i(k) + 4*q(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18225 and 779301?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -3. Suppose -j*r + 2*r = -50. Let d = -75 - -84. What is the remainder when r is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-225))\/(-2 - 116\/(-55)). Let p = 4141\/90 + i. Calculate the common denominator of -17\/14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -135393*l + 135364*l - 1479 for l.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 8. Let a(z) = z**2 - 9. Give -3*a(g) + 4*c(g).\nAnswer: g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z**3 - 7*z**2 + 6*z - 5. Suppose -6*r - 1453 = -1483. Let l(n) = -6*n**3 + 6*n**2 - 6*n + 4. Give r*l(u) + 4*w(u).\nAnswer: -2*u**3 + 2*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -17*h - 199. Calculate z(-23).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4234, 4423, 4888, 5779, 7246, 9439, 12508, 16603?\nAnswer: 21874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-4))\/(6\/18*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*o + 28 = -184*o + 375*o for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 56\/((-15)\/(-595)*2). Let v = -1102 + b. Factor -1 - 3*z**2 + v*z - 5\/3*z**3.\nAnswer: -(z - 1)*(z + 3)*(5*z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6858922 divided by 979846\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 10. Suppose 0 = -3*t - 3, 3*u - 15 = r*u - 5*t. Let f = u - -12. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence arrr when four letters picked without replacement from raaaaaaraaaraaaa?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105219 and 487558.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4172359 by 6.\nAnswer: 4172359\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*o**2 + 6 + 0*o**2 - 6*o**2 - 3 wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**4\/6 + z**3\/6 + z**2\/2 - 11*z. Let q be v(-5). Suppose -2*g + q = -16. Calculate the remainder when 90 is divided by g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25058498?\nAnswer: 2, 12529249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1200) + 1*sqrt(1200))\/(sqrt(64)\/sqrt(4)) - ((sqrt(24) - 2*sqrt(24))\/sqrt(8) - (2 + sqrt(243)))**2.\nAnswer: -304 - 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-6))\/((-16)\/(-6)*(-564)\/6768).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 292 + -290. Solve 0 = -2*v + r*u + 6, 4*v = -u + 3*u + 14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*p**2 - 1 - 4*p**3 - 22*p**2 + 33*p**2 in the form r*p + l + m*p**2 + v*p**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3982, 5153, 6324?\n\"Answer: 1171*q + 2811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1651, -7302, -16721, -29908?\nAnswer: -46863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 28 = -2*z + 2*r, 4*z = -4*r + 40. Let g(b) = 8*b - 2. Let q be g(z). Suppose -104 = -4*j + 4*h, -2*h + 18 = 4*j - q. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 11:50 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j. Let s(o) = 8*o + 3*o - 20*o + 4*o. Calculate s(v(q)).\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 = 3*o - 2*f, 5*o + 3*f + 66 = 6*o. List the prime factors of 62*(-6)\/o*-6.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -15*z**2 + 7*z**2 - 6*z**2 - 9*z + z**2. Let n(q) = -3*q**2 - 2*q. Suppose 8 = l + l. Give l*m(a) - 18*n(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37204526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/49287237 (b) 2\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 817, 402, 5 in increasing order.\nAnswer: 3, 5, 402, 817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or -1674?\nAnswer: -1674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - j = 44 - 32, 3 = j. Sort 1\/6, -1, 13\/6, v.\nAnswer: -1, 1\/6, 13\/6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 6*t + 231 = -3*t, 2*l + t - 92 = 0. Let n(o) = -o**3 - 2*o**2 + o - 1. Let g be n(-3). Suppose l = -g*v + 140. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*n**(-1\/6)*n))*(n\/(n\/(n*n*n\/((n*n*n*n**(-3\/7)*n)\/n)*n))*n)\/n*n*n*n*n*n**(2\/3)*n*n**(-1\/4))\/((n**(-1))**22)**(-5\/3) assuming n is positive.\nAnswer: n**(-2351\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + q. Let w be (-32)\/(-18) - 636\/(-2862). Let c(m) = -48*m**2 - 22*m. Calculate w*c(u) + 44*a(u).\nAnswer: -52*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1692, 1375, 1058?\nAnswer: 741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 211 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4 - 3 + 6 - 27*s**2 + 1. Let u(n) = -9*n - 6. Let t(c) = 8*c + 5. Let q(j) = -6*t(j) - 5*u(j). What is q(v(g))?\nAnswer: 81*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2808 by -4.\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24860 and 2216500.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*v + 6685 = -60*v. List the prime factors of v.\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/197284 and 131\/6882.\nAnswer: 591852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55040 and 272792.\nAnswer: 43646720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*u + 501, -z - 3*z + 651 = u. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 t, and 1 p when three letters picked without replacement from ztpivtziztjtjv.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.330566 to three decimal places.\nAnswer: -0.331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.210898*0.14.\nAnswer: 0.02952572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**2 - 2 - h**4 - 4*h**3 + 3 - 3*h**4 - h**3 wrt h?\nAnswer: -96*h - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and (75\/(-40))\/(-5) - (-8765)\/8.\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2130.1 - 2131. Let k = -7.6 - -4.6. Which is the third biggest value? (a) x (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 431944897?\nAnswer: -6\/431944897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, a: 1, x: 9}. Give prob of picking 2 x and 1 a.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1565 - -1545. Which is the biggest value? (a) 29 (b) -1\/10 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-61 + 0)*-1851 + 2. Suppose 117087 + u = -w. Round w to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaart. What is prob of sequence tar?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*k = 210503, 414*g - 419*g - 4*k + 1052487 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/3)\/(160\/(-360)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 + 433\/8. Which is the second biggest value? (a) -9\/2 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04287468 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26033 is divided by 8639.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -33, -47, -65, -87?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 382*(123\/(-30) - -4). Let q = 39 + n. Let f be 0 + (-10 - -5) - -2. Sort q, f, 1\/5.\nAnswer: f, 1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*j - 16*j. What is the lowest common multiple of (-12 - -24) + j + 2\/(-1) and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/121768194 and -73\/30.\nAnswer: 608840970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(539) + 1) - sqrt(539))**2 - ((5 + sqrt(539) + sqrt(539)*-2)**2 + sqrt(539))) + -1.\nAnswer: 231*sqrt(11) + 8068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/18 and -50\/67.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (3 - -1 - 1). Let z be (-1 + -3)*(-94)\/8. Suppose 2 - z = -q*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -2990, 2\/13, -2\/9, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -3860?\nAnswer: -15440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5375 = 20*y. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 98.686 and 925230.\nAnswer: 925328.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/((-1)\/(-2 - -1)). Suppose 3*g - 6 = -u, g - 5*u - 3 = -1. Let r be (-4)\/(-6) - (-12)\/9. Solve g*i + z = -r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 4:31 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 + -56. Let a(c) = -c**3 - 5*c**2 - 4*c + 5. Calculate a(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 210 - 171. Calculate the highest common divisor of p and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*7\/294)\/(286\/1001)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32245515 + 32245518.3999922. Let w = j - 3.4. Round w to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45939 is divided by 730.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 6*r = 5*r + 11, -z - 2*r - 11 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*k - 16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n. Let g(p) = -2269*p**2 - 2452*p**2 + 3865*p**2. Determine c(g(t)).\nAnswer: -856*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5 - 1. Let y be (-10)\/30 + (-199596)\/108. Let q = -1846 - y. Put q, -2\/11, u in descending order.\nAnswer: q, u, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 3491.\nAnswer: 1396.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*q - 63 = 0. Suppose -5*o = -5*f + 184 - 199, -3*o + 14 = -2*f. Solve 5*v - x + f = 2*v, 4*v + x = -q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 145 and 1885.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13773 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 44, 59, 70, 77, 80?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136 a factor of 290667084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-28)\/8 + 2)*8. Let v be 14\/3 + 8\/x. What is the highest common factor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 63*f**5\/20 - f**3\/6 - 35*f**2\/2 + f - 9. What is the second derivative of x(d) wrt d?\nAnswer: 378*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4211? (a) 3 (b) -3 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3020294 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 127*l - 3173. Calculate x(-34).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22011*y + 670 = 6*j - 22015*y, -3*j + 5*y = -338 for j.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.71 + -0.61. Let o = -3 + 2. What is the third smallest value in w, 0.4, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001152 to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -571218.8 + 571107.81596. Let i = j - -111. Round i to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 32467505.\nAnswer: -4\/32467505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.04, 1\/10, 0.06, 0.5, 0.22, 2?\nAnswer: 3.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603616 is divided by 26240?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffaffaa. Give prob of picking 3 a.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**2*k)**(12\/13))**(2\/11) assuming k is positive.\nAnswer: k**(120\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 63*s**2 + 0*s**3 + 1\/540*s**6 + 0*s - 1\/45*s**5 + 1\/12*s**4 + 0. Factor o(f).\nAnswer: 2*f*(f - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/2857736 and 43\/5715472.\nAnswer: 5715472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -241d627b2 + 5?\nAnswer: -241d627ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2. Let f(t) = t**2 - 4*t - 1. Let u(p) = 67*p**2 - 9*p - 3. Let j(x) = -3*f(x) + u(x). Give j(m(w)).\nAnswer: 256*w**4 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1058979 is divided by 2765.\nAnswer: 2749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (29 - 28) + (7 - 7).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27181, -27187, -27197, -27211, -27229, -27251?\nAnswer: -27277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -42 + 9 + 10 - -12 - -58?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-15)\/(-70))\/(144\/7784) and 23\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -22?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -608.9391 + -0.0609. Let g = 609.293 + w. Which is greater: g or 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/7 (b) 86 (c) -2\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**2 + 2*p**2 + 4152*p - 4152*p + 619 as d*p + y + n*p**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 1457 = -5*m + 47. Solve 6*k + 130 = m for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -5*p**4\/4 + p**2\/2 + p + 61. Give f(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 45*o - 18*o - 24*o - 12*o. Let j be (-64)\/3*(-24)\/16. Let f(c) = j - c**2 - 32. Calculate p(f(n)).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 - 50 = -p - 99 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -42 in increasing order.\nAnswer: -42, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 213131 + 123?\nAnswer: 213254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b - 14. Let y be a(4). Let m be 28\/(-21)*(-39)\/y. Let j be (-15)\/20 - m\/8. Let w(c) = -c**2 - 6*c - 3. Give w(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*o - 2866 = -14489 - 6288 + 1811 for o.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -89131, -178239, -267345, -356449?\n\"Answer: o**2 - 89111*o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 154*b + 1537. Calculate the remainder when u(-6) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 746686 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/28 - (332\/(-28) + -5). Solve 31 = -3*k + 4*z + a, -5*k - 2 = z for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 27, 2, 5.722?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 79*m - 52 = -75*m, -4*f + 62 = -2*m for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000324250188 rounded to 5 decimal places?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)\/(sqrt(60)\/sqrt(5)) + sqrt(21))\/(4*sqrt(3)*-3) + (-5*-2*sqrt(567) + 1)*-2)**2.\nAnswer: 2162*sqrt(7)\/3 + 8180071\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 3*y**2 + 4*y + 1. Let a(u) = 3*u**3 + 6*u**2 + 8*u + 2. Let g(q) = 2*a(q) - 5*s(q). Give g(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/(-35) + 2\/(-5). Solve z + 1 + r = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + w**2 - w - 240. Let i be u(0). Let l be 5*(-8)\/(i\/18). Let q = 6 + -3. Solve -5*f + 32 = -q*x, -2*f = -l*f + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.1404 - 1.69.\nAnswer: 1.4504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (122\/(-305))\/((-108)\/(-15)).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29318?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*n + 2 + (3 + 0 - 1)*(-2*n + 2*n + 4*n))*(-n + n - n) to the form o*n + a + d*n**2 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -20*w**3 + 139*w**2 - 1371*w + 9645. Calculate q(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 + -54. Let c be h + (-14)\/(-5) - 1\/(-5). Suppose -9 = c*x - 27. Calculate the greatest common divisor of x and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341*q - 377 = -188 + 1175. Sort q, -270, 4.\nAnswer: -270, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 3.8. Suppose 6*v - 4*v = 0. Let c(g) = g**2 - g. Let t be c(v). Sort -2\/19, t, j in decreasing order.\nAnswer: t, -2\/19, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147 - 135 - (-28 - -6) - (4 - -2)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1))\/c**(5\/2))\/(c**(-10)*c*c**(2\/25)\/c) assuming c is positive.\nAnswer: c**(371\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1043200340 - 0?\nAnswer: 1043200340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 4.7. Let z = k + 4.3. Which is the smallest value? (a) 1 (b) -0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 1)*(38 - 38 - 2*s**2) + (-3*s + 4*s + 0*s)*(-2*s - 4 + 4) to the form x*s**2 + d + q*s and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Let f be 2\/((-4)\/1)*q. Solve f*j + 3*v = -j - 17, 0 = -3*j - 3*v - 21 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 9*w**2 + 0 + 5 - 5. Let m(l) = l. Give n(m(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 8:17 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15410367?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 373 + 226. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: c2897 (base 14) to base 2\nAnswer: 1110010010011010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 616.793 - 616. Let j = v - -0.207. What is the closest to -1 in 1\/4, 4, j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-13))**(-2\/7)\/(m**28\/((m\/m**(-2\/19))\/m)) assuming m is positive.\nAnswer: m**(-3216\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3596 divided by 62\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5bd69 + -510?\nAnswer: -5c379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 70\/(-15)*3\/(-2) - 1. Suppose n*v - 671 = 247. What is the remainder when v is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bobroob. What is prob of picking 2 o and 2 b?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23994\/73 or -1?\nAnswer: -23994\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 68*f**5\/15 - f**4\/24 + f**3\/6 + f**2. Let x be v(1). Is 15 a factor of x\/6 + (-1)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 6*v**2 + 7*v - 12. Determine k(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7*x - 3. Let q be o(-2). Let v = q - -32. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -4\/7, 3\/11, 2\/3, 28\/11, -1\/20?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 63*z - 22*z - 7 as u*z + a and give u.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h - 12. Let t(u) be the second derivative of 2*u**3\/3 + 11*u**2\/2 - u. Let j(n) = -3*k(n) - 4*t(n). Is j(-4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.23 + -0.17. Let r(k) = k**3 - k**2 - 2. Let q be r(0). Which is the second smallest value? (a) 2\/3 (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - n**2 - 3*n - 6. Let u be o(-4). Let a(c) = -c**2 + c + 6. Let m be a(0). Calculate the highest common divisor of u and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 2*z + 2. Let o be p(-3). Let x be o*4*(-4)\/(-16). Suppose 21*d**2 - 2*d**3 + 5*d**3 + d**x - 12 - 4*d**5 - 9*d**4 = 0. Calculate d.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75575\/(-6046)*(-48)\/(-10)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 22 = -5*y + 23, 0 = -3*y - 4*u + 56. Solve y*h + 16 = 16*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 10:14 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/9)\/((-7)\/((-378)\/12))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from wixcacwcwiaax?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 1084\/1193747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 10*q**2 + 38*q - 16. Let m be n(-5). Suppose -a + 22 = -2*c + m, 4*a + 23 = 3*c. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*d**3 + 24951*d + 1897*d**5 + 6 - 24920*d + 8*d**3 + 850*d**5 wrt d?\nAnswer: 54940*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -98, -122, -148, -176, -206?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526*t = 38401 + 4205 for t.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1740 + -3217. Let s = 2474 + w. What are the prime factors of s?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2892562445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*j - 12, 2*n - 15 - 14 = -j. Let c(i) = i**2 + 11*i - 11. Let x be c(-11). Let b = x + n. Solve 0*m = -4*m + b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34608 and 207648.\nAnswer: 207648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*k**2 + 39*k**2 - 120*k**2 + 36*k**2 + 29*k**2.\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 114?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24138053.\nAnswer: 41, 588733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1144*f**2 - 269*f**2 + 1622*f**2 - 245*f**2.\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 35 = 3*m, 5*p + 0*m + 35 = m. Let u(g) = -g**2 - 14*g - 10. Does 13 divide u(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.974 + -103835159?\nAnswer: -103835158.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/15*-1)\/((-4)\/6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-13)\/(l*l**(-9)))\/(l\/((l*l**(-1\/2)\/l)\/l))**13)**26 assuming l is positive.\nAnswer: l**(-975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (10\/15)\/((-8)\/12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p. Let y(i) be the first derivative of -13*i**5\/120 - 32*i**3\/3 - 26. Let b(n) be the third derivative of y(n). Calculate -2*b(j) + 7*v(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 5*z - 40, j - 6 = -2*z + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w - 161. Let g(u) = -2*u + 115. Let j(l) = -7*g(l) - 5*m(l). Let q(f) be the third derivative of 5*f**4\/6 - f**2. Give j(q(a)).\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j + 2. Let w(g) = 6*g - 3*g - g - 3 - 3*g. Give 3*m(l) + 2*w(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1039*-0.1\nAnswer: -103.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9382131589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -941776 times 4?\nAnswer: -3767104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 85 = 511. Let u = l - 74. Let c(i) = 2*i**3 - 3*i**2 + 3*i. Let k(g) = -g**3 + g**2 - g. Determine u*k(a) - c(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4687908 divided by -38\nAnswer: 123366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 13909*f + 361220. Determine r(-26).\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + x = 80388, 3*w - 606*x - 80406 = -601*x. What is the greatest common divisor of 127 and w?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76361089, 76361086, 76361081, 76361074, 76361065, 76361054, 76361041?\nAnswer: 76361026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/27*0\/((-56)\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oclppdhcloccc. What is prob of picking 1 d, 1 p, and 1 h?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*c + c = -1361, -3*t + 810 = -c. What is the common denominator of ((-1)\/12)\/(t\/(-268) + 1) and -151\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112661, -112606, -112551, -112496?\nAnswer: -112441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1. Let i(f) = -13*f + 52. Determine -52*g(t) - i(t).\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**4 + 2*j**2 - 7 - 4*j**2 - 15*j**3 + 4*j**4 + 2*j**4 + 6 to the form t*j**2 + v*j**4 + u + f*j + x*j**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3 + -2 + sqrt(11) + 0 + 2))**2 + (-1*sqrt(99)*-4)\/(sqrt(441)*2).\nAnswer: 1052*sqrt(11)\/7 + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-6) + (-2)\/(-6). Suppose -4 = -a*b + 113. Calculate the remainder when 192 is divided by b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, g: 3, v: 2, u: 1, t: 6}. Give prob of picking 3 g.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 84341976 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 9*v - 13. Determine g(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 8*p - 31. Let g be j(3). Find the third derivative of g*s**2 - 46 + 172*s**4 - 38 - s**2 - 44 wrt s.\nAnswer: 4128*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b. Let g(d) = -d. Let l(f) = -4*f**3 - 20*f**2 - 7. Let x be l(-5). Give x*g(n) + 3*h(n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-16)*d**(2\/21))**(12\/7) assuming d is positive.\nAnswer: d**(-1252\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4 - ((-6)\/(-2) - (-213)\/(-639))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + 42. Let a = o + -17. Let f = 47.999787 - a. What is f rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16.73458 and 4.43.\nAnswer: 21.16458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 980*r + 45*x - 41*x = 22540, 2*x = r + x - 23 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 676748, 4 in increasing order.\nAnswer: 1, 4, 676748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48*h**5*k - 80117*h**3*k - 5*h**2*k + 213*h**2 - 3216*h wrt h?\nAnswer: -2880*h**2*k - 480702*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 1 = 2*j. Suppose -5*k + k = -j. Suppose 2*y + 3*y = 40. What is the greatest common divisor of y and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 0*r + 1\/2*r**4 + 0*r**7 + 0*r**5 + 12*r**2 + 0*r**6 - 5\/336*r**8 + 0*r**3 + 0. What is the second derivative of k(p) wrt p?\nAnswer: -100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83.275 - 535.205. Let w = 456 + u. Let r = w - 0.07. What is the second biggest value in r, 1\/4, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 21*x - 46. What is j(-12)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f. Let x(m) = 6*m + 1. Let q = -6 + 3. Let t(u) = q*j(u) - 2*x(u). Let i be t(5). Calculate the greatest common factor of i and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 450, 1486, 3142, 5424, 8338?\n\"Answer: p**3 + 304*p**2 + 117*p + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -127811 by 11.\nAnswer: -127811\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 104 = 4*j - 0*j, 0 = -w - 5*j + 58. Calculate the least common multiple of 1442 and w.\nAnswer: 12978","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26aa + -4?\nAnswer: 26a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2\/3 + 4606144*f\/3 + 1326035159296\/3.\nAnswer: 4*(f + 575768)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4102444122 (base 5) to base 13\nAnswer: 192b108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 30 = -0*y. Let g(c) = 2*c - 15. Let p(z) = 3*z - 3*z + 8 - z. Calculate y*g(f) - 11*p(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/5 - 9*v**3\/5.\nAnswer: v**3*(v - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*m*r**3 - 3746*m*r**2 - 123*r**5 wrt r.\nAnswer: 96*m - 7380*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36175 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144 + -133. Let i(f) = 3*f**2 - f - 4. Let j(w) = 16*w**2 - 5*w - 21. Give h*i(r) - 2*j(r).\nAnswer: r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 65 = -75. Suppose -y*l + 0*l - 386 = -4*g, -2*l - 101 = -g. List the prime factors of g.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/9)\/(80\/(-96)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 1:30 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*g - 4. Suppose 3*p - z + 4 = 0, 2*p = 5*p - 2*z + g. Is (22\/6)\/(p\/(-6)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2*sqrt(810))\/(sqrt(80) + -2*sqrt(80) - sqrt(80)) - (sqrt(242) + 0 + sqrt(242) + sqrt(242) + sqrt(242) + -3 - sqrt(242))*6).\nAnswer: -801*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 2:42 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 2*f**2 - 16*f - 3. Let h be s(9). Let r = h - 234. List the prime factors of r.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*x = -42*x. Solve 3*k = 5*n - 27, x = -4*k + n - 2 - 17 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(85)\/(-3*sqrt(5)))*6 - (3 + sqrt(119)\/(sqrt(7) + sqrt(7)*-2))*3.\nAnswer: sqrt(17) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 56\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*r = 166*r - 63*r - 324 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 57, 22, -49, -174, -371, -658, -1053?\n\"Answer: -3*w**3 - 14*w + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4934, 2, -5, -3, 3, 1 in increasing order.\nAnswer: -5, -3, 1, 2, 3, 4934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1006671 is divided by 201303.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*s - 1, 3*s + 2*s = 0. Calculate the least common multiple of r*-2 + 2 + 8 and (-10)\/4*4*(-13)\/130.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - 2)\/(-3) + 4. Suppose -2*k = -13 + q. What is the remainder when 17 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - x**2 + 34. Suppose 58*p + 56 - 346 = 0. Calculate the remainder when j(0) is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259, 543, 837, 1147, 1479?\nAnswer: 1839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7548, -15098, -22648?\nAnswer: -30198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20234.\nAnswer: 2, 67, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 107973806 and 47604.\nAnswer: 7934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 59 + 19 = 3*q + 24, -5*w - 55 = 5*q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1327?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 970, 2, 7, -6, -5, 5 in increasing order.\nAnswer: -6, -5, 2, 5, 7, 970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 90559708, 181119418, 271679128, 362238838, 452798548, 543358258?\n\"Answer: 90559710*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knbbnbzbnbuuui. Give prob of sequence uzi.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*a + 941*a**2 - 447*a**2 - 416*a**2 - 23*a.\nAnswer: 78*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2. Let f(q) be the second derivative of -7*q**4\/12 + 2*q**3\/3 - q. Let m = 2797 + -2791. Give m*w(t) - f(t).\nAnswer: t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1778909717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, r: 9, f: 1, e: 8}. Give prob of sequence fre.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from {b: 2, x: 2, p: 1, d: 1, l: 2, r: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3083.3 + 3083. Which is the nearest to -4? (a) -37 (b) -1\/3 (c) m (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/207 + 215\/414. Let l = -53 - -56. Which is the nearest to -10? (a) u (b) l (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81 and 378?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -13)*(346474\/4 - -1). Suppose -6407492 + 2029190 = -3*i. Let o = a + i. What is o rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62712779 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((147 + -91)\/(-2240))\/((-1)\/(-8)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 9 = 10. Let i = -99 + 174. What is the remainder when i is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 0 + 1 + -1. Suppose -p = j, 2*g - p - 12 = -g. What are the prime factors of (g\/(-6))\/(8\/(-36))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 47*o**5\/60 - o**4\/12 + o**3\/3 + 2*o**2 + 870. Let s(f) = -140*f**2 + 7*f - 7. What is -7*d(g) - 2*s(g)?\nAnswer: -49*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -250560 divided by 3915.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-10) - 93\/105. Let f = 0.641 + -0.641. Let t = -1132\/7 - -162. What is the nearest to t in 0.5, r, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -13*o - 1. Let n(b) = -14710 - 10*b + 7*b + 14710. What is 18*n(j) - 4*r(j)?\nAnswer: -2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.684 + -10.7. Let b = t - -0.0160009. What is b rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of 5*q**5\/24 - 95*q**4\/24 + 14*q**3 + 77*q**2. Let f(a) be the first derivative of y(a). Differentiate f(k) wrt k.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6709\/8 + -829. What is the common denominator of g and -8\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (11\/(-1540))\/(0 + (-2)\/(-444)) and (-4)\/(-24) + 2680\/(-600).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3431 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = v, -4*o - v = o - 111. Let b = o - 14. Let j = b + -4. Solve a = 2*a + j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2485731 is divided by 257.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10194, 20110, 29756, 39132?\n\"Answer: -135*f**2 + 10321*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-4465)\/(-4) + 4\/(-16). Let q(j) = -j + f*j**2 - 1116*j**2 - 21*j**3 + 4 - 4. Let r be q(-1). Calculate the greatest common divisor of 20 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9436888 and 3280?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**6\/720 + n**5\/60 + 5*n**4\/6 + 36*n. Let r(g) be the third derivative of t(g). Determine r(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -493187*y**2 - y - 423435?\nAnswer: -986374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 - 2*h**2 + 6*h - 3. Let m be z(-3). Suppose o - 3*l - 9 = 6*o, o + 5*l = -m. Factor o + 2\/5*r + 9\/5*r**2.\nAnswer: r*(9*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372329261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 383 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26336522.\nAnswer: 2, 13168261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/27, -60, 4, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 164297729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3321*r - 8750. Is z(173) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2811.07641 times 5\nAnswer: -14055.38205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)\/((((h*h*h*h*h*h*(h*h**(4\/7))\/h*h*h)\/h)\/h)\/h))\/(h**(1\/8)\/(h*(h*h**2)\/h)) assuming h is positive.\nAnswer: h**(-431\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1121*a. Let f(t) = 78*t - 4. Determine j(f(b)).\nAnswer: -87438*b + 4484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 11:03 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 953 + -1027 - (1 - 0 - (8 + 14)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 60 = w. Suppose 2 - w = -t. What is the greatest common divisor of t and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 2 - 14. Solve -3*g + 9 = -x*y, -y = -g + 6*g - 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 307\/4 - 1561\/20. What is the common denominator of t and 149\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(1584) - (-1 + sqrt(1584)) - sqrt(1584))*-3 + -5 + sqrt(1584)*1*-6 + -3)*6)**2.\nAnswer: 23328*sqrt(11) + 516132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9.76 - -956986\nAnswer: 956976.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*j**2\/11 + 372*j\/11 - 1008\/11 = 0.\nAnswer: -12, 42\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -5. Is 28 a factor of -14*((-5 - s) + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 - 23 + 19*l)*(3 - 6 + 0) + 1 - 2*l - 1 - 5 - 2*l - 2*l + 3 as c*l + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 249, 237, 219, 195, 165, 129, 87?\n\"Answer: -3*o**2 - 3*o + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = -n. Let u be (11 - 9)*n\/4. Solve 3*y = -4*b + 18, -u*y = -5*b - 0 + 9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -448, 11, 17, 0 in decreasing order.\nAnswer: 17, 11, 0, -448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 2*d - 18, -16*d - o = -13*d + 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*((143 - 0) + -3). Suppose -6*q + o + 22 = 0. What is q rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0482659661 and 4.\nAnswer: 3.9517340339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-175)*7*(-500)\/100\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**4\/7 + 192*u**3\/7 - 2332*u**2\/7 + 7152*u\/7 - 6448\/7 = 0. What is u?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 2. Suppose 7 + l = 5*u. Suppose w + 0 = u. Solve -w*d - z + 6 = -3*d, -z = d - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 34*s + 11. Let v be (-945)\/54*(-4)\/5. Let n(h) = -51*h - v - 9 + 4 + 2. Let b(o) = -5*n(o) - 8*q(o). What is the derivative of b(m) wrt m?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {o: 4, r: 1, u: 2, z: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 3*r = 27. Suppose -3*v - v + 4*s + 60 = 0, 0 = 5*s + 25. Let x be ((-8)\/(-10))\/((-2)\/v). Put x, r, -2 in decreasing order.\nAnswer: r, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*z**5 + 482*z**2 - 161*z + 51 wrt z.\nAnswer: 360*z**3 + 964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3857 = 86*k - 880739. What are the prime factors of k?\nAnswer: 2, 37, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 46761, -1, 5 in decreasing order.\nAnswer: 46761, 5, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 692170805.\nAnswer: 5, 839, 164999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(76) - sqrt(76))\/(sqrt(64)*-4).\nAnswer: 7*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -0.1, 18.286, 5 in decreasing order.\nAnswer: 18.286, 5, 1, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106 + 105 - 2*h**2 + 68*h**3 + 0*h**4 + 5*h**4 to q*h**4 + y + f*h**2 + s*h + z*h**3 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 69.97217mg?\nAnswer: 69972170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u - 2*u + u)*(u + 0*u - 2*u + (3 + 2 - 7)*(5*u + 6*u - 3*u)) as n*u**2 + m*u + y and give n.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66514*p**3 - 90*p**2 + 311*p wrt p.\nAnswer: 399084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 406088286.1 rounded to the nearest 1000000?\nAnswer: 406000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 955.\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m - u = -15, 72 = 5*m + 4*u. Suppose -3*b = -n - 4*n + 9, -3*b = 2*n - m. Solve r - 7 = t, b*r + t = -0*r + 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*1 - (105 + -94).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -742831?\nAnswer: -74282b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 3*s = -5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5280 is divided by 321.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 559. Let l be b(0). Let o = l + -141. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6104874? (a) 0.1 (b) -0.5 (c) -6 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -3) + 427 + -385.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.2 + 10.2. Let b = -0.02 + 3.02. What is the fourth biggest value in 1, -0.1, i, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*s - 2 + 126*s - 40*s + 5.\nAnswer: 221*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/47, 1\/3, -3\/4424, -1\/3, 4 in increasing order.\nAnswer: -1\/3, -3\/4424, 2\/47, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -17*v**2 + 12*v - 4. Let h(q) = 18*q**2 - 12*q + 5. Let x(i) = -4*h(i) - 5*n(i). Find the second derivative of x(z) wrt z.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5 + 13 = 0. Let j(k) = -10*k - 3*k**2 - k**3 + 10*k**w + 8 + 0*k**3 + 3*k. What is j(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 2*c**4 + 4*c**4)*(2*c - c + 21*c).\nAnswer: 44*c**5 - 44*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 15 + 2*v + 10*v)*(7 + 2 - 1).\nAnswer: 96*v - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -12, 11.44034, -2 in ascending order.\nAnswer: -12, -4, -2, 2, 11.44034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 2505545.\nAnswer: 10022180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + -20 + 17 + -1 + -24?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4092 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -877 + 6138\/7. What is the smallest value in -35\/3, -5, w?\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 70 = -5*l. Let v = -2\/3989 + -283211\/15956. Which is smaller: v or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*v - 10 = 0. Factor -6*q**3 - 2*q**4 + 0*q**4 - q**v - 2*q - 5*q**2.\nAnswer: -2*q*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 20663*g**3 + 20635*g**3 - 1.\nAnswer: -28*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1.45534745.\nAnswer: 2.9106949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 35*v**2 + 41*v - 71. Let p be m(36). Find the third derivative of 5*l**2 - p*l**2 + 2*l**3 + 54*l**4 - l**3 - 141*l**4 + 35*l**4 wrt l.\nAnswer: -1248*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 6 + 4*g - 2*g - 5.\nAnswer: (g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9, -16, -73, -174, -331?\n\"Answer: -2*c**3 - 4*c**2 + c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(810)*-1*6 - (sqrt(810) + 3*1*sqrt(810)))\/(((-2*sqrt(405)*2 - sqrt(405)) + sqrt(405))*3).\nAnswer: 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4765*74\nAnswer: 352610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 0.7. Let g = -4264 + 4259. Which is the second biggest value? (a) t (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-2) + -11 + 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-5)\/(-5)))\/((-57)\/6)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o - 13. Let z be v(5). What is the units digit of 23\/7 + z + 901\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 - (2 + -27043) - (286 + -290)?\nAnswer: 2, 13523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9122 in 3\/5, 3, 0.5, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + r = -4. Suppose 0 = 2*c + 2*z - 0*z - 14, 3*z + 75 = 5*c. Suppose f + 2*f = c. Solve -n = -3*n - f*x - r, -5*n = -3*x - 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-35)\/28*108\/45. Put m, 36, 3, 7 in ascending order.\nAnswer: m, 3, 7, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -159031827.31 rounded to the nearest one thousand?\nAnswer: -159032000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -616 = 8*c - 10*c. Calculate the greatest common factor of 28 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 2*w + 0*w)*(-2*w + 2*w**2 + 2*w) + 0 + 2*w**3 + 0 - w.\nAnswer: -4*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 119*k + 1223. Calculate the remainder when 195 is divided by z(-10).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aagar. What is prob of sequence aa?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**3\/5 + 201090476*m**2\/5 + 2527335718392896*m\/5 - 2527336723845376 = 0. What is m?\nAnswer: -25136312, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 154601106 to the power of 1\/2, to the nearest integer?\nAnswer: 12434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 16*x + 14 - 46*x + 29*x. Let v be 1 + 0 - (-4 - 1). Does 5 divide b(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 2*i - 6. Let o be ((-3)\/2)\/((-2)\/(-8)). Give a(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72967.788ns in hours?\nAnswer: 0.00000002026883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -197, -189, -191, -209, -249, -317, -419, -561?\n\"Answer: -h**3 + h**2 + 12*h - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/18*((-9996)\/40)\/(-7) and -3*(-6)\/63 - (-5598)\/(-4158)?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 54\/140 + 4\/(-14). Let p be (-35 + 8874\/252)\/(3\/(42\/4)). Which is the third biggest value? (a) 0.4 (b) w (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -243 - -243.1. Which is the closest to i? (a) 2 (b) -2\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -116.1 + 116. Which is smaller: r or 26?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 6. What is h(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + -5 + -32 - (33 + (-2 - 6))?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 + -2.6. Suppose -4 - 5 = -3*t. What is the third smallest value in 1, k, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00268193 rounded to 5 decimal places?\nAnswer: 0.00268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vh when two letters picked without replacement from vsh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -55, -66, -79, -94?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -17*r - 5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2355, 5121, 8331, 11991, 16107, 20685, 25731?\n\"Answer: d**3 + 216*d**2 + 2111*d + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 22, -3, -48, -119?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxgeeezyxbbxye. Give prob of sequence ez.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -682.7 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -639.998.\nAnswer: -3199.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 11. Suppose 3*f + o*s = -1105, -5*f - 4*s + 3*s - 1849 = 0. What is f rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.018256 centuries?\nAnswer: 0.0018256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115648138.\nAnswer: 2, 149, 388081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 265 = -5*d + 2*c, 0 = -2*d - 4*c + 106. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i - k - 20 = 0, 3*i + 1 = -2*k. Suppose -3*m = i*c - 8*m - 95, m = -c + 29. Calculate the remainder when 177 is divided by c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2633898.821 - -61?\nAnswer: 2633959.821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -656 + 733. Let o(d) = d**3 - 2*d**2 - 7*d + 4. Let z be o(5). Let u = z + -37. What is the greatest common divisor of u and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlurlr. Give prob of picking 1 r and 1 l.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 17 (b) -2\/13 (c) -295 (d) -1\/6 (e) 0.4 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3406017.\nAnswer: 3, 1135339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 217.0016883 to one dp.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 51ac228 + -c?\nAnswer: 51ac21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/54)\/(8\/(-24))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knknnnxxknnk. What is prob of picking 2 n?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -251, -1274, -2297, -3320?\nAnswer: -4343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*r + 10*r + 221*r + 171*r.\nAnswer: 461*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2023 or 2036?\nAnswer: 2036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m**3 + 3*m**3 - 3*m**3)*(-2*m + 3*m + m) + 122*m**4 + 689*m**4 - 120*m**4 to the form v*m**3 + l + x*m**2 + h*m + z*m**4 and give z.\nAnswer: 689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 94803547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7216\/200 + -24 + -12.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -1284\nAnswer: -513.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.75 + 20.75. Let i = v - 17.5. Let x = 37 - 36.9. Which is the second biggest value? (a) i (b) x (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -0*h - 3*h. Suppose -582 = h*v + 90. Let s be 16\/v + (138\/(-14))\/(-3). Solve 0*b = s*b + y + 5, 2*y = 4*b + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4419765 divided by -126279.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p. Let z(r) = -7*r**2 + r. Let o(y) = -a(y) - z(y). Let v(s) be the first derivative of 3*s**2\/2 - 158. Determine v(o(l)).\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -60*i + 3. Let a be t(-3). Suppose -12 = 4*q, -4*q + a = 4*p - q. Suppose -2*d = d - p. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 10*y - 11. Let z be j(8). Suppose -5*v + 1961 = g, -3*v + 4*g = -567 - 628. Suppose -f + v = 392. Sort z, -2, f in descending order.\nAnswer: z, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6718 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 7:04 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -42892072 - -126271\nAnswer: -42765801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 3283542.\nAnswer: 6567084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (23 - 20)) + -19 + 0?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-128)\/(-20))\/(-32))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 54 = 9*g. What is the least common multiple of g and 114?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2) - sqrt(2)*-2)**2) + 1 - (sqrt(2) - sqrt(18)*-3)**2.\nAnswer: -217 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t + 0*t - 1929*t**6 - 41*t**2 + 617*t**6 + 504 - 504 wrt t?\nAnswer: -157440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 20. Suppose 3*h = 6*h. Let q be 1 - h - j\/1. Solve -3*u - 15 = 3*v, 3*u + 0*u = -2*v - q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45 + w**2 - 49 + 146 - 49 - 7*w**3 in the form g*w + f + z*w**3 + n*w**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2450860 to the nearest 10000.\nAnswer: -2450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 + 0 - 2*y**2 - 4*y + 7 - y**3 - 4. What is k(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(192) - (sqrt(192) + 3)*-2) + sqrt(192)) + sqrt(363) + (-3*(-2*sqrt(363) - sqrt(363)) - sqrt(363)) + 1*(sqrt(363) + 2)**2.\nAnswer: 111*sqrt(3) + 361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 111\/(-4) + ((-228)\/(-16))\/19. Let k = 81 + f. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15535*7\/(-3185) + (-1)\/7.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 10*x**4 + 2*x + 6. Let w(o) = -30*o**4 - 6*o - 17. Let r(l) = -6*w(l) - 17*y(l). Find the second derivative of r(q) wrt q.\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k - 12 = 4*n, 5*k = 5*n + 45. Let w be k\/7 - (-364)\/49. Solve 0 = -4*p + w, 0*j - 2*j = 5*p - 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 13 - 6 - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -8) + 15 - 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by (-214)\/(-10) - (-1704)\/1065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 422 (base 11) to base 3.\nAnswer: 200211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f - 5*f**2 + 96 - 2*f + 15*f**2 - 46 - 52 to p*f + h + n*f**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/125*12\/(-4)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2, 28, 124, 322, 658, 1168, 1888?\n\"Answer: 6*h**3 - 3*h**2 - 3*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 39 = 4*u, -5*u = -0*u - 5*a + 60. Let s = -1 + u. Is (-15)\/s*106\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -572462a3?\nAnswer: -572462a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m + 2*m - 6*m + (-2*m + 2*m + m)*(-2 + 0 + 0) - 1 + m + 1 - 4 + 2*m + 4 - 13 - 4*m - 4*m + 15.\nAnswer: -9*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*r - 8. Factor 31*c**r - 12*c**2 - c**3 + 349 - 588*c + 2395 + 23*c**2.\nAnswer: -(c - 14)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -31*v**2 - 92*v + 3. Let h(b) = 93*b**2 + 322*b - 11. Let p(j) = -2*h(j) - 7*x(j). Determine p(-2).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.942 - -0.655. Which is the third biggest value? (a) s (b) -0.1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {z: 3, o: 7, a: 1, k: 4, i: 1, l: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*q - 9*g - 85, -3 = -3*g. Let k = q + -17. Suppose 4*y - y = 312. What is the highest common factor of y and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61.25 - -0.75. Let n = -60 + o. Which is the nearest to 0? (a) 9 (b) 0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 872*b**3 + 851*b**3 - 2571*b**3 + 849*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -11.0000054. What is d rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/2777 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.9857 - 0.\nAnswer: 1.9857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 20*p**2 - 38*p + 15. Let l be w(-18). Solve 13*j + 1 = -l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57492785 is divided by 374.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -452\/15 smaller than -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}