diff --git "a/data/dm_maths/full_data/1845_11255.jsonl" "b/data/dm_maths/full_data/1845_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1845_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let s(n) = -194*n + 27. Is s(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/9))**(-17\/2)\/((j**(-2\/5)\/j)\/j)**(-17))\/((j**(-3))**(-21))**(1\/27) assuming j is positive.\nAnswer: j**(-1856\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q + 8. Let y(a) = a**2 - 4*a + 9. Let m(c) = 4*i(c) - 3*y(c). Let h(x) be the first derivative of m(x). What is the derivative of h(b) wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 10*b - 21 = 11*b, 2*h + 16 = -6*b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240240 (base 7) to base 14.\nAnswer: -11b20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002176 rounded to five dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 274*g - 7. What is u(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -2. Let z = g - 8. Put 2, 5, z in ascending order.\nAnswer: z, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 5*f**2 + 4*f - 4. Let t be h(4). Let z be (1101\/(-5))\/(t\/60). Is (z\/(-6))\/(-3)*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2.96, -1\/14 in ascending order.\nAnswer: -12, -1\/14, 2.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 160 - 5867333\nAnswer: -5867173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(110) - sqrt(110)*1 - sqrt(110)))\/sqrt(10).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -422*(-2)\/12*3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18 - 69030\/(-40) - 2\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by (-1440)\/(-64)*4\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**12*p**(7\/4))\/(p*p\/(p*p*p\/(p\/((p\/((p**17\/p*p)\/p))\/p))))**(-28) assuming p is positive.\nAnswer: p**(1847\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3144 - 7271 = 0. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*b = -248*b + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 45*n - 596. Calculate q(11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -488, -975, -1466, -1961, -2460?\n\"Answer: -2*f**2 - 481*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**3 + 28*p**2 - 40*p - 64 = 0. What is p?\nAnswer: -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.203864 kilometers to micrometers.\nAnswer: 4203864000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -8*d + 45. Determine t(-2).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266508205?\nAnswer: 5, 151, 352991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18\/5 - -4. What is the closest to 0.03 in g, -5, -2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -67. Let g = 59.92 - d. Round g to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1344 + -631. Let u be ((-24)\/(-30))\/((-168)\/(-4830)). Calculate the highest common factor of z and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -410093107\/7663 + 53516. Let q = k - -8689837\/38315. Let n = q + -225. Is n greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 870357*g*w**5 - 2*g*w**2 + 286*g*w - 170*g - w - 1 wrt w.\nAnswer: 52221420*g*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q. Suppose -4*z + z + 24 = 0. Let g(s) = 44 + z*s - 44 - 2*s. Give x(g(h)).\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39148110 by 10.\nAnswer: -3914811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 16*j**3\/9 + 691*j**2 + 518*j\/3 + 12372. Factor o(s).\nAnswer: 2*(s + 259)*(8*s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(132)*-3 - sqrt(132) - sqrt(132)))\/sqrt(11))\/((sqrt(6) - sqrt(60)\/sqrt(160))*-4) + 3.\nAnswer: -5*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2872064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x + 4, -6 = -4*i - 5*x. Is i < -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8887213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - -4) + (-17)\/4. Let y = d + 6. Solve 3*s + 3 + y*s**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -96*v**3 + 1. Calculate f(-1).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 11. Let n be 3*(1 - t)\/(-6). Let m = 1.5 - 0.5. What is the nearest to n in m, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 55*u + 44*u**2 - 3*u**3 + 63 + 2*u**3 - 40*u. List the prime factors of y(44).\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6044*x**2 - 2165 wrt x.\nAnswer: 12088*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117185436.999196 - 117184941. Let v = j - 496. Round v to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/4)\/(165\/(-132))*(3 - 18). Let a = 2 - -286. What is the highest common factor of o and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-125)\/(-100)*(-3)\/(45\/24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/((-3)\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -3. Suppose -b = 2*b - 12. Sort b, c, -1.\nAnswer: c, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 10189129376082?\nAnswer: -10189129376082.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1048 = -2*o - 0*r - 4*r, -4*r = -2*o + 1040. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29200000 = -2*o + 6*o. What is o rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -41*i**2 - 2. Let b(n) = -n**2 - 1. Determine 2*b(g) - o(g).\nAnswer: 39*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 148 - 141 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*f - 3 + 3)*(-1 + 7 - 2) + 3*f + 0*f - 2*f as p + s*f and give s.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-8) - 441\/(-84)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6\/17 - 64\/85. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369581525?\nAnswer: 5, 359, 41179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 10?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 783 (b) -0.5 (c) -2\/17 (d) 2 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 20 = -2*k - w, k - 5*w - 18 = 0. What is the highest common divisor of k and 450?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 14. Calculate the remainder when 31 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -288 and 86.\nAnswer: -24768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2303046 + 2?\nAnswer: -2303044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a centimeter in millimeters?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 3. Let f be m(-5). Let w = 1 - f. Let l be 7 - -1 - (24 - 20). Is l at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86dc22 (base 15) to base 12\nAnswer: 219a465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**4 + 16*p - 14*p**3 - 6*p**3 + 8*p**4 - 32 - 2*p**4 + 24*p**2 = 0 for p.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.24676 + -38128.\nAnswer: -38128.24676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/10 (b) -3\/8 (c) 0.5 (d) -142 (e) 0.04 (f) -0.5 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*w - 75, 2*w - 6*w + 77 = q. Suppose -s - s + w = 5*p, -s = 3*p - 11. Let i = 1 + 2. Sort s, i, -5.\nAnswer: -5, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3866 - -5741. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 8*r**2 - 605*r - 824. Let y be s(77). Let x(h) = -h**3 + 27*h**2 - 92*h + 4. Determine x(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d - d + 2*d. Let a(t) be the third derivative of 1\/20*t**5 + 0*t + 0 + 3*t**2 + d*t**4 + 1\/2*t**3. Differentiate a(r) wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54153, -54161, -54183, -54225, -54293?\nAnswer: -54393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6371757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvjvvjvvvvvvvvjvjv. What is prob of picking 2 v?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 9:33 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*o = -o - 9, -4*b + 6 = -2*o. Let z(c) = 4*c**2 + 5*c - 6. Let h be z(b). Solve 4*m = 2*g - 6, m = -5*g + 2*m - h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 12:30 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822 is divided by 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((27\/(-48))\/(-3))\/((-3)\/12)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 4, i: 3, j: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f - 0 - 9. What is the third smallest value in -0.5, f, -9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r = 13*j + 89*r - 63*r - 65, 5*r + 5 = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = -36*x + 28. Let j(o) = 2*o**3 - 3*o**2 + 3*o + 3. Let y(c) = -3*c**3 + 5*c**2 - 5*c - 5. Give x*j(r) - 3*y(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/36*56\/21.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 22*q - 72. Let t be i(-25). Do 32\/19 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.615949 milliseconds in hours?\nAnswer: 0.0000032266525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26997071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mffpufmapmpumfuuupfp. What is prob of sequence mm?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3975 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528816 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2588, 9649, 21410, 37871, 59032, 84893, 115454?\n\"Answer: 2350*y**2 + 11*y + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 1:56 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1012 in 3\/2, 3, 2\/11, -1\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -64 divided by -2\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-7)\/(-35)*10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 0 - (97 + -103) - -42\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20483*l**2 + 26596*l wrt l?\nAnswer: 40966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from {l: 4, c: 2, x: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 1. Suppose 0 = j - w*j + 24. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h = 36*h + 65*h - 118 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 296.\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-4)*8\/(-6). Suppose -2*x + z = -0*x + 1, -5*x - 5*z + 20 = 0. Let m be (-3)\/((-3)\/(x\/1)). Calculate the highest common divisor of m and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) 3 (c) 284 (d) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-11 + 5)) + -14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -78 + ((-17)\/(-255) - 15\/(675\/(-222))).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 s when two letters picked without replacement from ghcghshhghgcgchh?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + 7*k - k + (3*k - 4*k - k)*(3 - 2 - 3) - 25*k + 26*k - 35*k + (k + k + 3*k)*(4 + 2 - 5).\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.005 - -1.895. Let s = i - 2.19. Which is the third biggest value? (a) 2\/7 (b) 57 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 115, -79, -1, 5, 1, -217 in ascending order.\nAnswer: -217, -79, -1, 1, 5, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - 2629 + 5233 - 2604 - 71*u.\nAnswer: 3*u**2 - 71*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r**4\/7 + 39*r**3\/7 + 21*r**2 - 219*r\/7 + 45\/7 = 0. What is r?\nAnswer: -3, 1\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 44\/7, 2\/7, -21\/101, -4, -5?\nAnswer: 44\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 32*c**2 + 4*c - 6. Let d be u(3). Let b = -134 + d. Let x = 280 - b. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 5 + 5)*((-2 + 2 - u)*(32*u**2 - 5*u**2 + 59*u**2) + (1 + u**2 - 1)*(-u + 11*u - 2*u)).\nAnswer: -78*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 1 = 15. Let t be -725 - -2 - (4 - n). What is t rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000023992012 rounded to 7 decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318862 is divided by 112.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0.2 (b) 4 (c) 2\/27 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*c**3 - 65*c + 65*c - 2*c**2 + c**2.\nAnswer: 30*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5323084170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 7*t**2 - 37*t + 2. Determine w(-5).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -10*n + 18. Let g be i(-3). Let k = -22 + 28. Suppose 0 = -3*d + k*d - g. Which is smaller: 15 or d?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.4193 litres to millilitres.\nAnswer: 74419.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 404 = 5*z, q = -4*z + 552 - 219. Calculate the remainder when 310 is divided by z.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.6 - -3330.853843.\nAnswer: 3334.453843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/3801087 and 5\/47724759.\nAnswer: 429522831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2. Let x(k) = -576 + 12*k**2 - 34*k**2 + 576. Determine a(x(m)).\nAnswer: -968*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360131 is divided by 669.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 4\/27, -281?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(-46))\/(2\/(-352)*-4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + u)*(3 - 4 - 3) + 3*u + 7*u + 8*u.\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (16*(-12)\/(-18144)*1)\/(-3*(-1)\/(-7))\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16\/19 - -150\/133. Let s = 1.1 + 3.9. Let d = 10 - s. What is the nearest to y in -2, -2\/15, d?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3110829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -519 - -519.1902. What is g rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/66 and -139\/186.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*o - 81*o + 1022317. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.004 and 45.\nAnswer: 44.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 9*k = 24400000. What is k rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -788*r**7\/7 - 55*r**3\/3 - 2*r**2 - 456. Find the third derivative of d(s) wrt s.\nAnswer: -94560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/8188 and 23\/66738.\nAnswer: 273225372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.1 - 6. Let f = g + 1.2. Let s = 1.4 + f. Put -3, 0.5, 2\/9, s in ascending order.\nAnswer: -3, s, 2\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 975 and 351.\nAnswer: 8775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 2\/3, 0.4, 2, 86225, 0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q. Let m(k) = -3*k + 3. Let d(b) = -j(b) - m(b). Let l = 25 - 18. Let y be d(l). What is the highest common factor of 99 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*i + 6 = 0. Let t(n) = n + 1. Let o be t(-1). Factor 4\/9*r**i + 2\/3*r**3 + 0*r + o.\nAnswer: 2*r**2*(3*r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 118 + 637a?\nAnswer: 6496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = r - 404 - 1310, -l - 1708 = -r. Let u = 3071 - r. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (4 - 6 - (0 + 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -219, 19, -1, 0, -4, -8, 3 in descending order.\nAnswer: 19, 3, 0, -1, -4, -8, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -283330, -283332, -283334, -283336, -283338, -283340?\n\"Answer: -2*r - 283328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4651, 7728, 10805, 13882, 16959, 20036?\n\"Answer: 3077*g + 1574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -55, -0.06, -786, -0.2, 27?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*n**3 - 2*n**3 - 90*n**3 - 43*n**3.\nAnswer: -254*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*h = 8*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v - 4504839 = 2*v + 12034161. Round v to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t + 1525 = -44*t + 5*s, -3*t - s + 1529 = 0. What is the greatest common divisor of t and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/6))**(-1\/10))**11\/((k**(-6)*k**(-3\/5)\/k)\/(k**2*k)**34) assuming k is positive.\nAnswer: k**(6499\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 47 = -22 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o - 4. Let j be s(-4). Let h = j - -23. Is h a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2 - 12090*x + 462308 = 0.\nAnswer: -6083, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52054535 and 3380?\nAnswer: 208218140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7c6 - -d1?\nAnswer: -6d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6652 and -0.05.\nAnswer: 6651.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - f - 41 = 0, 2470*w - 2472*w + 2*f + 10 = 0 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5)*f*f**(1\/4)*f)\/((f**(-1)\/f)\/((f*f\/f**(-4)*f)\/f*f)))\/(f**(4\/7)*f*f*f*f**(-2\/3))**23 assuming f is positive.\nAnswer: f**(-23503\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h + 53. Let q be d(25). Find w, given that -11*w**3 + 15*w**5 - 5*w**4 - 12*w**3 + 13*w**q = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08+3363769.064135\nAnswer: 3363768.984135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*t - 3646 = 180*t + 88*t + 3606 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + b + 1. Let i(d) = 2*d**2 + 1. Let h(y) = -3*g(y) - i(y). Let f be h(6). Solve -j + 5*j - 2*u = f, j = -u - 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.25 - -0.25. Sort 2\/7, 5, q.\nAnswer: 2\/7, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + -0.4. Let o = 1.3 - -5.7. Let v = -2 + o. Which is the biggest value? (a) 0 (b) w (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-96)*-9)\/(1\/2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.20771 weeks in hours?\nAnswer: 1210.89528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 195646.6 hours?\nAnswer: 704327760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n + n + 2*n)*(-1 + 4 - 5 + (-2 + 1 + 3)*(-6 + 2 + 2) + (2 - 2 - 2)*(-1 + 1 - 1)).\nAnswer: -32*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/6)*i**(2\/7)*i**(-4\/3)\/i*i**(-12\/5) assuming i is positive.\nAnswer: i**(-323\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 - -45 - (6 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11278433*r**2 - 8*r*x**2 + 4732*x**2 + 11*x - 310 wrt r.\nAnswer: 22556866*r - 8*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 l when four letters picked without replacement from {d: 4, p: 1, l: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -484, -498, -518, -544?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l. Let o(g) = 10*g - 90. What is o(a(i))?\nAnswer: 30*i - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**6\/120 + 11*p**5\/30 - 3*p**4\/4 - 17*p**3\/2 - 16*p**2 + 2. What is t(21)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2088*p - 411*p + 798*p.\nAnswer: 2475*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -1. Let o(y) = -y**3 + 2*y**2 + 6*y. Let h be o(b). Suppose 3*v = -v + h. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*t + 31*t - 24 - 5*t)*(-3*t + 3*t - t).\nAnswer: -16*t**2 + 24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002880737 to 7 dps.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-40)\/2*3\/(-6). Let p be 15\/l*32\/(-6). Let b = p + 11. Calculate the smallest common multiple of b and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -14*y - 17. Calculate g(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s + 3*s - 2*s. Suppose 0 = -10*b + 934 - 804. Suppose -16*h + 3*d - 30 = -b*h, h + 5*d = 20. Let r(p) = -4*p + 2. Calculate h*v(z) + r(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 153 - 153 - 224*o**4 - 4*o**3 + 4*o**3 - o**4 - o**4 + 2*o**4 - 3*o**4 + (7*o**3 - 2*o**3 - 3*o**3)*(2*o + 2*o - 3*o) + 2*o**4 - o**4 + o**4.\nAnswer: -223*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 6*i**2 + 8*i - 5. Let h be b(7). Suppose -h*u - 63 = -5*u. Let o = 4 + u. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 237747?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18767.\nAnswer: 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2533.712 micrometers in millimeters?\nAnswer: 2.533712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 314 - 311 + o**3 - 3*o**2 + 0*o**2 + 2*o**2 in the form c*o**2 + i + f*o**3 + r*o and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 10 = b, -5*u = 159*b - 156*b + 23 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhpuhsg. Give prob of picking 1 g and 1 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 4*m**2 - 2*m - 6. Let k be f(-4). Suppose 0 = -3*w - 2*u - 13, -k*w - 9 - 3 = 2*u. Let x = 0.2 + -0.2. Is w at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**5 - 4*f**4 - 24*f**3 - 28*f**2 - 10*f = 0 for f.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12.9 times -13\nAnswer: -167.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 57.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -115a + 2a723?\nAnswer: 29585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from hshhhhhh.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 7*d**2 - 3. Suppose -c + 5*u - 17 = 0, 49*c + 29 = 52*c + 5*u. Calculate v(c).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1357639 by -31573.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 4407?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9.1? (a) 0.05 (b) 0.2 (c) 4 (d) 774\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by (0 - 4\/(-10))\/(26\/780).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/2? (a) 24.5 (b) -0.4 (c) -2\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 5 + 30 - x**2 - 13.\nAnswer: -x**2 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 827948191?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 3, t: 11}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b54 (base 13) to base 16.\nAnswer: -29dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/4)\/(45\/60)*-3. Solve -5*u - 8 = x*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -4003453?\nAnswer: 4003452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.4 (b) 2 (c) -48 (d) 178 (e) 0.024\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22640933501 less than 0.4?\nAnswer: 22640933501.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {h: 2, s: 4, z: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*m - 3)*(673 - 372 + 3971) + 0*m + 0*m - 2*m.\nAnswer: -8546*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hnhnhh.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1007 or 23187\/23?\nAnswer: 23187\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u + 312. Give b(-76).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/43902 and -37\/813?\nAnswer: 43902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 0, -5, -473 in descending order.\nAnswer: 3, 0, -2, -5, -473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 12369?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10335035 (base 6) in base 7?\nAnswer: -2422463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13821814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - (-368496)\/(-10836))\/((-3)\/21).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25245*w**3 + 629474*w wrt w?\nAnswer: -151470*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45002514\/60767 + -30\/8681. Factor 500*j**3 - 61492\/7*j**2 - 36000\/7*j - 7*j**4 - z.\nAnswer: -(j - 36)**2*(7*j + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1339459?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 12:48 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 - z + 6. Suppose -24 = -77*u + 74*u. Let m(r) = -4 + 0*r + u - 3 - r - 2. Calculate -j(b) - m(b).\nAnswer: -2*b**2 + 2*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**5\/20 + c**4\/3 - 2*c**3\/3 - c**2\/2 - 26180*c. Suppose -5*d = -0*n - n + 18, -5*n + 27 = -4*d. Calculate t(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 c when three letters picked without replacement from qcqeeeeqeeexneccxxx?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-1050)\/(-48)))\/(8\/(-30)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, d: 18}. What is prob of picking 2 d?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 38 = -5*h, -218527*d - 36 = -5*h - 218525*d for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -331 + 331. List the prime factors of 1\/(1\/517) - (1 + d).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28591 is divided by 477.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 96150 to the power of 1\/2, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/8 and 113\/154.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-4\/9))\/m)\/m*m*m**(-4\/5)*m)\/(m**1)**(-45)*m**(1\/4)\/(m*m**(-2\/3))*(m\/(m*m**(-1\/3))*m)\/m*m\/m**(6\/7) assuming m is positive.\nAnswer: m**(56887\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.133492 and -2.1834.\nAnswer: -2.049908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40222863?\nAnswer: 3, 4469207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 36034, 72428, 108822?\n\"Answer: 36394*t - 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*h - 2*h - 4*h + 42137262. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -156*l**3 - 3*l**2 + 12*l + 24. What is the tens digit of h(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22c7 (base 15) to base 2\nAnswer: 1110011011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3902 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6714700 by -335735.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -66 - -53 - -1*283. What is the greatest common divisor of o and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 9*t - 10. Determine o(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -197765486 rounded to the nearest 1000000?\nAnswer: -198000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-63))\/(2*3*(-1)\/504)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*s - 958, 127*s - 2*f + 566 = 130*s. Suppose 0 = -3*n - 2*n + 120. Let b = n + -14. What is the highest common divisor of s and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 108 - 22. Let l = w - -40. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 13 + 9*q - 4 - 7 - 6 - q**2 + 1. Let m(c) = -c**3 + 9*c**2 + 2*c - 12. Let a be m(9). What is j(a)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 777403 and 145783?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**3 + 9729186*g**2 - 29187585*g = 0. What is g?\nAnswer: -3243065, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 405*v**2\/4 - 7121113*v\/4 - 17583\/2 = 0.\nAnswer: -2\/405, 17583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 18 + 24 + q**3 - 5*q**2 - 5*q. Let n be c(5). Solve n = 4*g - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-2 + 13 + -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000185 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(108)*-2)**2*4.\nAnswer: -5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/380, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -544374, -1088635, -1632896?\nAnswer: -2177157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 7. Let u be 2\/(-4)*(x + -2). Let w(f) be the first derivative of -f**4\/4 - 4*f**3\/3 - 2*f**2 - 3*f + 2. Give w(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 30*p + 128. Let u be t(5). Let v(y) = y**3 + 5*y**2 - 2*y - 3. Let n be v(-4). Calculate the greatest common factor of u and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 874333266 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8721.\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (-2)\/4*2. Let o(j) = -6*j - 2*j**3 + 13*j**3 - 2 + 6*j**2 - 12*j**3. Give o(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28679 - 3871631\/135. Let v be ((-1)\/12)\/((-18)\/32). Let o = a + v. Put -1\/7, 2\/19, o in ascending order.\nAnswer: -1\/7, 2\/19, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*d + 210*d - 108*d.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13633491*d**3 + 16713889*d wrt d?\nAnswer: 81800946*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1862 and 7523313?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyff when four letters picked without replacement from fffffyyfffffyffyfff?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**2\/3 + 92*r + 277\/3 = 0?\nAnswer: -1, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 58. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7, -36, -113, -262, -507, -872, -1381?\n\"Answer: -4*h**3 - h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 5\/6*y**3 - 1\/60*y**5 - 3*y**2 + 0 + 0*y + 0*y**4. Find the first derivative of c(h) wrt h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3363, -3051, -2739, -2427?\n\"Answer: 312*a - 3675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5 + 38181*o**4 + 364466280*o**3 + 364428100*o**2 = 0. What is o?\nAnswer: -19090, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -6*g + 0*g**3 + 3*g**3 + 28 - 2*g**3 - 11 + 7*g**2. Let a be f(-8). Let w(p) be the third derivative of p**5\/60 + p**3\/6 + p**2. Give w(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -563*z. Let o(w) = -2355*w**2 - 4*w. Give h(o(q)).\nAnswer: 1325865*q**2 + 2252*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 m when three letters picked without replacement from mrvbmrmrrrrmrrmvvrrr.\nAnswer: 55\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72753 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11040, -22040, -33040, -44040, -55040?\n\"Answer: -11000*y - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*(-24)\/210)\/(((-176)\/33)\/(-4))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/17, -4\/3, -1\/2, -3\/8, -3, 4, -2.65?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + 141. Let m = 152.529 - q. Round m to 2 dps.\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1533*i. Let a(l) = 64*l**2 - 19*l - 1. Determine x(a(v)).\nAnswer: -98112*v**2 + 29127*v + 1533","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -8*s. Let x be 24\/18 - (-4)\/(-3). Suppose x*q + 16 = -16*q. Calculate a(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1958, -1959, -1960?\n\"Answer: -y - 1957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 495*b - 486*b - 9 = 0. Put -3, -4, 20, b in decreasing order.\nAnswer: 20, b, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -1\/5*k**5 + 2\/3*k**3 + 0*k**2 + 0*k**4 + 2 - k. Suppose u(a) = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 429\/11154*(-26)\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/16 of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 8:30 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 56, 98, 148, 218, 320, 466, 668, 938?\n\"Answer: 2*a**3 - 8*a**2 + 52*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**4\/24 + r**2. Let a(d) = -19*d - 20*d - 26*d + 91*d - 28*d. What is a(o(p))?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/821600 and -161\/246480?\nAnswer: 2464800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(512) - sqrt(512)*-2)\/((sqrt(80)\/sqrt(5))\/sqrt(4)))*6.\nAnswer: 12 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 4. Let v be n(2). Is v >= -5\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 3.4. Let w = -2 - -2. Sort 5, d, w.\nAnswer: w, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*(-42)\/(-147)*(0 + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10618, 21200, 31782, 42364, 52946, 63528?\n\"Answer: 10582*t + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 11*b + a = 4649, 3*b - 5*a - 4655 = 0. What are the prime factors of b?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 times 1?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1701 + -1680. Let c = -12 + 17. Solve 3*r + j = -r - c*i, 4*i + 20 = -4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15685, 125654, 424369, 1006276, 1965821?\n\"Answer: 15741*b**3 - 73*b**2 + b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + 5*k - 3*k)*(-1 + 3 + 0)*(2 - 13 + 3)*(0 + 4 - 5) as a + l*k and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o + 40. Let u be y(4). Solve 2*p - z - 3*z + u = 0, -4*z + 40 = -5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64\/36 + -39 + (-96878)\/(-1062)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25.0143422748 + -0.3.\nAnswer: 24.7143422748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 628 and 86350.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 4. Let k be ((-9)\/(-3) + -5)*1. Let j be r(k). Suppose -t + 63 = j*t. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/2288974 + 746206879\/3101559770. Let j = p + -11\/271. Factor j*t**3 - 1\/5*t**5 + 0*t + 1\/5*t**2 - 1\/5*t**4 + 0.\nAnswer: -t**2*(t - 1)*(t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.37 + -0.23. Let i = l - -19.6. What is the fourth smallest value in -5, i, 2\/3, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -312 - -295. Let t(x) = 2*x**2 + 42*x + 58. Let f be t(d). Which is smaller: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/12 and -149\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14 + -4 + 17)*1*-2. What is t in 1 - 5*t**v - 4 - 4 + 7 + 10*t = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**5 - 2*i**4 + 7721*i**3 - 1689*i**2 + 11 wrt i?\nAnswer: -120*i**2 - 48*i + 46326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + -1.5. Let g = 1.9988 + j. What is g rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, -0.3, -9, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3578494 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 3*k - 554 + 536, 0 = -2*c - 2*k + 12. Solve 2\/13*u**2 + c + 0*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + g - 21 = 0, 5*h + 0*h - 3*g = -21. Let s be (h - (5 + -11))\/(2 + 2). Let k = -5 + 10. Solve s*z - k = 5*z + 5*y, -z + 4*y = 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 67068?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -122*h**2 + 1249*h - 290. Determine p(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -273) + 2 + -2. Suppose 1310 = 2*c + x. Suppose 2*g - 9*g = -c. What are the prime factors of g?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (160 - 16 - 51 + (1 - 5 + 2)*(2 + 0 - 4) - 6 + 1 + 3 + 1 - 4 + 2 + 2 + 1 - 1)*(2 - 7 + 1)*((2 - 3 + 5)*(-3*b + 2*b - b) - b + 2*b - 2*b).\nAnswer: 3456*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1904710 divided by -12?\nAnswer: 952355\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/20*76\/(-1235)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -31, -3\/4, -0.6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**3 + 3833*s**2 - 3833*s**2 + 333*s**3)*(-1 - 2 + 1).\nAnswer: -654*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -313\/42 + 51\/7. Let c be ((-2)\/(-12))\/(12\/(-18)). What is the closest to 2\/7 in r, c, -2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3735 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 488 and 120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*-1711\nAnswer: 51.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/4)\/(((-24)\/4)\/(-6))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*u - 21 = 17*u. Let b be (-9 + (-50)\/20)\/(u\/(-22)). Calculate the highest common factor of b and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {q: 6, r: 3, l: 1, u: 2, i: 4}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -522 + -1302?\nAnswer: -2224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u**2 + 9*u + 16. Let k be h(-6). Suppose 2*i - k - 136 = 0. Is i a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 4*i**2 - 14*i + 14. Let t be u(6). Suppose 1 + t = 2*s - z, 4*z - 20 = 0. Let l(a) = -2*a**2 + 14*a - 3. Does 7 divide l(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.87 rounded to one decimal place?\nAnswer: -17.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 1\/(-2))*4. Let d(o) = 0*o + 3*o - n*o. Let t(j) = 3*j**2 + 0 + 0. What is d(t(p))?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1564.40457s to days.\nAnswer: 0.018106534375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 28*s + 109. Calculate l(11).\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -15 + (7 - (-2 - 3 - -14)) - 6.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**2\/9 - 6226186*c\/9 = 0.\nAnswer: 0, 3113093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 - (6 + (-1 - 2)). Let g be -2 + (-15)\/(2 + -5). Which is bigger: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 12. Suppose -12 = -3*r - 2*i - 0*i, 5*i = 15. Let v be ((-6)\/9)\/(r\/(-297)). Calculate the greatest common factor of v and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9759?\nAnswer: 3, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 413236891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 12.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccggc. Give prob of picking 1 c and 1 g.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 10:01 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7148 divided by 5\nAnswer: -7148\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11091, -11064, -11037, -11010, -10983, -10956?\n\"Answer: 27*v - 11118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 11*w**5\/20 - w**4\/8 - 259*w**3\/3 + 126*w**2 + w. What is the first derivative of p(d) wrt d?\nAnswer: 66*d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -56*q. Let b(p) = p. Give -70*b(k) - 5*f(k).\nAnswer: 210*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/2 and 4*(-3)\/6*(-12)\/(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 greater than or equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**4\/5 + 559*d**3 + 5593*d**2\/5 + 2797*d\/5 = 0.\nAnswer: -1, 0, 2797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 532751.9 litres to millilitres.\nAnswer: 532751900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3296718907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 0*f + 4*f + 9 - 5*f. Let w be a(6). Calculate the common denominator of 404\/56 - (w + 0) and 63\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwxw when four letters picked without replacement from wwwxxwwwwwwxww?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 3*r - 103. Let i = r + 107. Suppose i*f + 5*f - 1503 = 0. List the prime factors of f.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -3*z - 8, z + 5*j = 6 - 2. Let w(i) = -2*i**3 - 7*i**2 + 3*i + 13. Let f(r) = r**3 + 2*r**2 - 1. Let v(d) = f(d) + w(d). Does 6 divide v(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3964.394 millimeters?\nAnswer: 3964394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 113904*z - 227800.\nAnswer: -2*(z - 56950)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1227 - 1226.7. What is the closest to 3 in u, -0.1, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + q + 3 = 0, 9*q - 7*q + 6 = -t. Solve -2*m - k + 11 = t, -5*k + 7 = 5*m - 7*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(-2))\/((-3)\/3). Suppose d = 3*b - 14 - 1. What is the units digit of ((-4)\/b)\/(2\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 2*i**2 + 0*i**5 + 0*i**4 + 0*i**3 + 1\/15*i**6 + 0 - 3*i. Differentiate b(r) with respect to r.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - 247. Let u(f) = -2*f**2. Determine b(u(h)).\nAnswer: 8*h**4 - 247","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 107831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45073 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*p + 316*p - 164*p + 306*p.\nAnswer: 650*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/21 - (-893156)\/77. Suppose 0 = 19*q - 9*q - w. Is q a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 + 157 = 7*z. Let f(y) = y**2 + 3*y - 5. Calculate the remainder when z is divided by f(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-3)*24*(-20)\/320?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -155980.721 - -155837. Let z = 129.26 + l. Let y = 0.239 - z. What is y rounded to zero dps?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 4*z + 22, 16*x + 12*x - 31*x + 18 = -0*x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**3 + 6*j**2 - 3*j - 5. Let x be a(4). Find the common denominator of x\/(-39) + 2 - 0 and 25\/(15\/40*-4).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**3 + 7*x**2 + 10*x + 18. Calculate p(-4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110011 - -111011?\nAnswer: -11111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v = 43*v + 8*v - 1273. Suppose 0 = -5*b + 138 - 18. What is the remainder when v is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 17*l - 183. Let y be j(-9). Suppose 2*u - 130 = -0*u + 2*q, u - 2*q - 62 = 0. Calculate the highest common factor of u and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6121.222 + -3370843.778. Let h = -3376924.999696 - m. Let c = -40 + h. What is c rounded to 5 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/3 + (12\/(-54))\/(4\/6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(1755\/(-156)))\/(-26*1\/(-3))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10130576897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1311185917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*o = -43, -4*n - 58 = -3*o + o. Let a = -13 - n. Sort -5, a, 2.\nAnswer: -5, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165156240 divided by -20092.\nAnswer: -8220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i**2 + 3*i - 4. Let j(o) = -27*o**2 - 12*o + 15. Let q(a) = 4*j(a) + 15*k(a). Find the second derivative of q(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 82 (b) 0 (c) -45\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 300872170831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -4, 25\/4, -3\/5, -5\/4 in descending order.\nAnswer: 25\/4, -0.3, -3\/5, -5\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2119149*r**2*w + 2*r**2 - 741*w - 39711 wrt r.\nAnswer: 4238298*r*w + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x - 22. Let b be s(8). Find the first derivative of -4 + 2 - 10*r**b + 1 wrt r.\nAnswer: -20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7863 + 7873. Calculate the smallest common multiple of 9\/3 + 2*1 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.43 rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -271 + 30707?\nAnswer: 30416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -127343*m - 1247*m**2 + 134598*m + 2*m**4 + 54*m**2 wrt m?\nAnswer: 24*m**2 - 2386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 377 + 374 - 3*r. Let t be g(-2). Let d(m) = 35*m**2 - 2*m + 1. What is d(t)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189) - (sqrt(189) + 6*2*sqrt(189) - sqrt(189)))*-2)\/(1*sqrt(112) + (sqrt(7) - (1*sqrt(84))\/sqrt(12))) + -4.\nAnswer: -4 + 33*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (3 + 0 + -7 - (-5 - -7))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1713 divide 8635177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + (-61 - -3))\/(-1). Let q be -42 + 0 + (-2)\/(-1). Let k = a + q. Calculate the remainder when 36 is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-10)*0)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -3, 5, 13, 21, 29?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 17. Let q be k\/2 + (-18)\/20. What is the nearest to q in -4\/3, 0.1, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 108 - 97. List the prime factors of -1 - (36*t)\/(-4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o. Suppose 0 = 3*r + 3*z - 18, 0 = r - 5*z + 15 + 3. Let j(v) = 7*v**2 - 2*v**2 - r*v**2 - 5*v**2. What is j(b(t))?\nAnswer: -50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-1*1) - (10 + 26 - 57). Solve -14*x + h*x = 2*f - 6, -x + 3 = f for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**4 - 134*k - 2*k**3 + 134*k + 2*k**2 - 4 to d*k**3 + a + b*k**4 + l*k**2 + q*k and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 25*i**2 + 25*i + 26. Let a be -52*3\/18*-3. Let c be z(a). Suppose c = t - 68 - 73. List the prime factors of t.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/4))**(-2))**4 assuming o is positive.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489 is divided by 270.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/19 (b) -5\/7 (c) 3\/4 (d) -0.5 (e) 50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 983 = 4*f, f - 3*o - 390 = -140. Calculate the greatest common factor of 26 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*q + 32410 = 25*q - 183*q - 126*q for q.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.16059 + -2.83941. Which is the nearest to 0.3? (a) 3.9 (b) 1\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2058 + -2056. Calculate the smallest common multiple of -3 + (-1 - (-15 + 0)) and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 55 = 4*a. Let r(f) be the first derivative of -f**4\/4 + 5*f**3 - 13*f**2\/2 - 8*f - 16. What is the remainder when 39 is divided by r(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(190)\/(1*sqrt(360)))**2 + 5 + (sqrt(171)*1*-5)**2.\nAnswer: 38501\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saimpvm. Give prob of picking 2 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 613 + -347. Let u = k + -145. What is the greatest common divisor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 1:19 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7*j - 10. Let g(z) = -14*z + 18. Determine 11*f(c) + 6*g(c).\nAnswer: -7*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.739 - 209738413215?\nAnswer: -209738413214.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(3 + 4\/(-8)). What is the second derivative of -328*p**5 + 782*p**5 - 389*p**i + 57*p wrt p?\nAnswer: 1300*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24746 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 - 58. Suppose -4*d = -6 - m. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2982*y - 74953 - 14507 = 0 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -24. Let h be (-38 - -10)*s\/(-4). Let k be -4 - (h\/77 - (-4)\/22). Let w(d) = -d**2 - 5*d - 2. Calculate w(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3257 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 7*i**2 + 2. Let p be a(7). Find the second derivative of -10*g**p - 3 - g - 7*g + 3 wrt g.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 217090626 divided by -2\nAnswer: -108545313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)\/sqrt(11) + -1 + 1 + ((sqrt(6)\/sqrt(2) - sqrt(3))*-6 + sqrt(3) - (sqrt(9)\/(-5*sqrt(3)) + sqrt(3))))**2.\nAnswer: 1323\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199590896.\nAnswer: 2, 19, 31, 21179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 16*c**5\/5 + 192*c - 19. What is the first derivative of w(o) wrt o?\nAnswer: 64*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w - 1. Let i be m(-1). Let h = -15 + 17. Suppose -8 = 3*x - 2*p, h*p = x + 4*x + 8. Which is the nearest to -1\/3? (a) -1\/3 (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 9*t. Let h = -41 - -50. Let x be r(h). Suppose -24*f + 27*f - 192 = x. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*j**3\/6 - 85*j**2\/6 + 31*j\/6 - 1\/2.\nAnswer: (j - 3)*(5*j - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 11 (c) 2\/13 (d) -3734 (e) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -14*z + 102. Let v be (-598)\/(-69) - (-1 + (-2)\/(-3)). Let c be k(v). Let a(t) = t. Let w(x) = -x**3 - 8*x. What is c*a(b) - 3*w(b)?\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 6*n**2 - 17*n - 10. Does 12 divide i(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 748910.1ml?\nAnswer: 748.9101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h*i**3*j - 26*h*i**3 - 2*h*i**2*m - 2*h*i*j*m - 79395*i*j*m + 182*m wrt j?\nAnswer: 2*h*i**3 - 2*h*i*m - 79395*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f - 75. Let v be w(21). Solve i - v = -i + 4*g, 3*i - 5*g - 40 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(4*a + 3*a - 5*a)*(0 + 0 - a**2) + 6*a**2 + 9*a**3 - 6*a**2.\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*n = -q + 7753, 5*n = 5. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-688)\/(-1032) - (17 - (24 - 15))?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 divided by 5?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.113 - 0.4854. Round h to 2 dps.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1467, 1452, 1433, 1410, 1383, 1352, 1317?\nAnswer: 1278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135154 is divided by 43782.\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 6:15 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5444 + -13?\nAnswer: 5431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -21555 (base 6) to base 2\nAnswer: -101111001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 542 + -539. Which is the closest to 2? (a) -0.4 (b) s (c) -4\/7 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 2 - (4 + -3 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 1.9 (c) -3 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8113 + -129747\/16. Calculate the common denominator of 6\/((-3240)\/(-1322)) + (-2)\/(-10) and r.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3 = 8. Suppose -65 + k = -5*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/4*(-364)\/(-8281). Sort 10\/23, 2\/11, 0.02, i.\nAnswer: 0.02, 2\/11, i, 10\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -8. Let u = -0.1604 - -0.2604. What is the second smallest value in u, j, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5 = q, q - 12 = -5*i - 3. Suppose -a + i*a = 3. Let r(k) = k**2 - k. Determine r(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 7*h**3 + 11*h**2 + 7*h + 8. Let l(c) = -3*c**3 - 5*c**2 - 3*c - 4. Let a(d) = 2*g(d) + 5*l(d). Determine a(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**5\/12 - 125*m**4\/24 - 65*m**3\/3 + m**2 - 130*m. Factor t(h).\nAnswer: 5*(h - 26)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(216\/9) + 1\/4\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -138722, -2, -5 in descending order.\nAnswer: 0, -2, -5, -138722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -23*o + 60. Let p be 25\/20 - (4 + (o - 7)). Factor 1\/4*m**3 + p*m**4 - m**2 + 0 - m.\nAnswer: m*(m - 2)*(m + 1)*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 296, 15, 4, -4 in descending order.\nAnswer: 296, 15, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2657*o + 6738 - 24545 - 54553 = 31263 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 10 = 25. Let l = 5.2 + 34.3. Let u = 39 - l. Which is the smallest value? (a) 5 (b) d (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121 by -138646.\nAnswer: 121\/138646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 143, 287, 427, 563, 695?\n\"Answer: -2*s**2 + 150*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 618*u - 552*u = 132. Solve -u*g - 13 + 5 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3235 is divided by 531.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -38*p**3 + 5*p + 6*p + 10*p**2 + 2 + 2*p + 77*p**3 - 41*p**3. What is w(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/19, -1\/3, -0.026, 5 in descending order.\nAnswer: 5, -0.026, -4\/19, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2764*c = -2760*c + 40 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4)*k)**(-2\/35)*(k*k**(-2\/5)*k)**28 assuming k is positive.\nAnswer: k**(3133\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -58*(-1 + (-1)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 255202 or 255204?\nAnswer: 255202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**2 - 13*t - 4. Let r(v) = 2*v**2 + 6*v + 2. Determine -13*r(q) - 6*x(q).\nAnswer: 4*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000515023 rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -1\/7 (b) -0.3 (c) -5 (d) -4 (e) -4349\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 5*b + 16, 46 = -4*t - 3*b + 5*b. Let f be (-130)\/(-11) + (-2)\/t. Let r = f - 6. Solve w - 9 = 3*q, 4*w = -2*q - 14 - r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-8) - (-102)\/216. Which is the second smallest value? (a) m (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 281 - 269.3. Let l = m + -12. Sort -0.4, l, -2 in ascending order.\nAnswer: -2, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4897 and 472?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-43)\/(4816\/(-32))*1*-1\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0108 + -0.0305. Round t to 3 dps.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 11:38 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c**3 + 33*c**2 - 11*c - 3. Let s be v(-5). Suppose -4*d - s*d = -4488. List the prime factors of d.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * -159\nAnswer: 4.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10\/7771, -0.02, 1.3?\nAnswer: -10\/7771","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**10*i*i\/(i**(8\/7)*i)*(i**21\/i)**(-4\/17) assuming i is positive.\nAnswer: i**(732\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 8 - (1 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 250244719 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 11, 4, 5 in decreasing order.\nAnswer: 11, 5, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)*p*p)\/(p*p\/(p\/p**(-17)))*p**(2\/11)*p\/p**(-12) assuming p is positive.\nAnswer: p**(299\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d + 33*d**2 - 36 - 7*d**2 - 19*d**2 + 4*d**2 to h*d + c*d**2 + m and give m.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37908 and 7449.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w + 3*o = 15*w - 19, -3*w + o + 13 = 0. Solve -w*h = -h - 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-182)\/84 + -3?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/3, 5, 0.2, -8, -2267, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 486 - 476 - 4*g + 2*g - 5*g - 5 + 5 - 2*g + 2*g - g + 4*g - 5*g + 3*g - g + 3*g - 4*g + (0 - 3 + 1)*(0*g - 5*g + 3*g) as y*g + q and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2011885 is divided by 670626?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 70*a + 159. Calculate the remainder when j(5) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 3\/14 (c) 19 (d) 0.1 (e) 1 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2982009 (base 10) to base 7\nAnswer: 34226622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -0.9, -3, 0?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.152 greater than or equal to 601745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2\/4810101201 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -6. Let z(l) = 3*l**3 + 4*l**2 + l - 4. Let w be z(b). Let a be 8\/w - 24\/(-42). Sort a, -5, -30 in descending order.\nAnswer: a, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.08418518 to five decimal places.\nAnswer: 0.08419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, i: 11}. What is prob of sequence imii?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 1 + -4 - (1 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 - -40. Let q be (2 - (-4 + c)) + 1. Solve i = 3*y - q*y + 6, -4*i + 4*y + 8 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 420 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(65*c + 51*c - c) + (1 + 1 - 3)*(c + 0*c + 3*c) + 4*c - 3*c + 3*c + (-1 - 1 + 4)*(-1 + c + 1) - 4 + 4 + 2*c.\nAnswer: -226*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of w**4\/6 + w**3\/3 + w**2\/2 - w + 2. Let x(l) be the first derivative of t(l). Let n be x(-2). Solve -n*c = -0*c + 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 4*w**2 - w**2 + 3*w**2)*(-1 - 3*w**3 + 1).\nAnswer: 6*w**5 - 9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**5\/4 + 471*s**4\/2 - 56151*s**3 + 320122*s**2 + 1961856*s + 2190240 = 0.\nAnswer: -2, 10, 468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -899 + 1555. List the prime factors of u.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 3*z + 5*z + (8 - 8 - 4*z)*(-2 + 1 + 3))*(0*z + 4*z - 3*z).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + v**2 + 2*v. Let d be z(2). What is the nearest to d in -60, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3972, 7948, 11932, 15924?\nAnswer: 19924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*i - 2. Let t = i - -5. Suppose 0 = 2*w - t*w - 70. Solve -5*j = 5*q - w, 4*q - q - 5*j - 5 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n - 3. Let f = -14 - -12. Let y = -698 - -697. Let r(q) = 1. Calculate f*r(m) + y*i(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/(-154)*((-572)\/495)\/13*(-15)\/(-20)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -10*l. Let z(u) = 3*u. Let o(q) = 13*q. Let g(b) = 2*o(b) - 9*z(b). Calculate g(p(r)).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 29. Suppose 3*y - 55 = -u, -2*u = 2*y - x*u - 45. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 81*o**2 - 1136*o + 28. What is g(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11272 + 12087. Calculate the greatest common divisor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -8, 165, 4.\nAnswer: -8, -3, 4, 5, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -94\/291?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280\/(-16)*(2\/(-8) + (-9657)\/(-3108)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, -6091, 55 in descending order.\nAnswer: 55, -86, -6091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -12. Solve 1 = -4*f + y, b*y - 2 = -5*f - 0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291296641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 484249 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = y + 80. Suppose 4*r + 2*f = 4*f - 50, -5*f + 55 = -3*r. Let o = r - y. Solve -5*a + 10 = -4*s, -o*a + 5*s = -a - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -697*h + 2058. Let a be y(-5). Calculate the greatest common factor of 46 and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 448 - 445. Let r be 1654\/690 - (-4)\/(-6). Let a = -3\/23 + r. Which is smaller: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -109*j**5*u**3 - 385*j**2*u**2 + 41*j*u**3 - 18*j*u**2 - 3*j*u - 243*j wrt j?\nAnswer: -2180*j**3*u**3 - 770*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i\/i**(-1)*i)\/i))**(-10)*(i\/(i**(-13)*i)*i)\/(((i\/i**(-10)*i)\/i)\/i) assuming i is positive.\nAnswer: i**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l - 9. Let a be z(6). Suppose -4*s - 20 = -a*s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f + 5*q - 33 + 154 = 0, 2*f - 18*q = -38 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 486590601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 687893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.114292 and -80?\nAnswer: -9.14336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/14 and -121\/162?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 108126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4 + 120*i**3 + 110*i**2 - 120*i - 115.\nAnswer: 5*(i - 1)*(i + 1)**2*(i + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**2 + 618*v - 31827 = 0.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 n when three letters picked without replacement from {z: 3, y: 1, i: 6, c: 7, n: 2}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*t - 151*t + 50*t + 38*t.\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q**2. Let n(s) be the third derivative of 5*s**4\/24 - s**3\/2 - 3*s**2 + 15. What is n(f(x))?\nAnswer: -20*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q**5 + 4635*q**4 + 252925*q**3 + 3372705*q**2 + 1308910*q = 0. Calculate q.\nAnswer: -83, -19, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(640)\/sqrt(2)*2)**2.\nAnswer: -32*sqrt(5) + 1281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 271386 and 4.\nAnswer: 542772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/4*20\/25. Let m(h) = 2*h**3 - 4*h**2 + 4*h - 3. Let c be m(k). Suppose 0*r + 20 = c*r. Solve 0*y - 2*y + r = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/9 - h\/9 + 20\/9.\nAnswer: -(h - 4)*(h + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -278 + 303. Suppose 7*b + 36 = n*b. Solve 7*r - b = -4*d + 2*r, 5*d - 13 = -r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 2\/(-18)*(23256\/289)\/9. Which is greater: -0.1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 46*h**2 - 44*h**2 + 1308*h.\nAnswer: 2*h**2 + 1308*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18 - (-5 - -16) - 82. Is n greater than -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*-1*(-4)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 677.4021t?\nAnswer: 677402.1","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 128 - 23. Let r(c) = c**2 - 8*c + 16. Let a be r(6). Suppose -2*o + 3*t = -f, a*t + 6 = 2*t. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19064 + 18871. Which is greater: 11\/4 or u?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 7*b**2 - 2*b. Suppose -4*o = -6*h + 9*h - 105, 85 = 3*o + h. Calculate the smallest common multiple of o and a(2).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 3*q + 18. Let k be (q - -7) + 29\/6. Is 7 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23362774 - 5?\nAnswer: 2336276b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23569 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 11*f**2 + 6*f + 24. Let d be m(-11). What is the tens digit of (-18935)\/d - 5\/(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*o**3 - o**3 + 4*o**3)*(2*o - 2*o - o).\nAnswer: -15*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 3*a**2\/2 + 12. Let n(j) = -3*j**2. Determine n(w(h)).\nAnswer: -27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4258691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0567708 - -1.\nAnswer: 1.0567708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 461515600 divided by 10075.\nAnswer: 45808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64*a**3*j**2 - 33452*a**3*j + 2*a**3 - a**2*j - a**2 + 17*a*j**2 - 5367*j**2 - 101 wrt j.\nAnswer: 128*a**3 + 34*a - 10734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1535695532 to the nearest integer?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/3)\/t*t)**(-44))**(-2\/11) assuming t is positive.\nAnswer: t**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from {f: 3, a: 13}?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 803637 at least 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, v: 15}. Give prob of sequence kv.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 1940 = -2*o, 86*c = 4*o + 87*c - 3889. What is the highest common factor of 276 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*f + 7*f = 20, k - 5*f = -30. Let r = -103\/7 + 15. Which is the nearest to -2\/27? (a) k (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 + (-22363)\/(-931) - -1)*(-2 + 0).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1837 at least as big as -0.12459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -o - 3*u, 19*u + 10 = 14*u. What is the remainder when o is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3228 = -2*m, 0 = 3*b - 5*m + 5349 + 4280. Let a = b + 22636\/7. Solve -8\/7 + 46\/7*x**2 - a*x**4 - 38\/7*x**3 + 16\/7*x - 50\/7*x**5 = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -4\/7, -115, -5, -0.3.\nAnswer: -115, -5, -4\/7, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 15940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -17 - (-5 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-198) + 2\/9. Let h = 0 - 0.1. What is the nearest to 2 in -2\/9, p, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/(-10))\/1*10 - 1. Suppose 18*j - v*j = -12. Which is the third biggest value? (a) j (b) 0 (c) 0.4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-60)\/24)\/(2\/(-4)). Suppose 5*w = -t*o + 5, -2*w + 5*o - 2 + 18 = 0. Suppose -3*z = 4*l - 110, 0 = -w*l - 3. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -181, -342, -485, -610, -717?\nAnswer: -806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -121 + 171. Calculate the remainder when l is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02+-98131861228\nAnswer: -98131861227.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19549 + 7*f + 6524 - f**2 + 6500 + 6525 + 3*f.\nAnswer: -f**2 + 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 737496.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, i: 6, v: 2, z: 1, e: 3}. Give prob of picking 1 z and 2 v.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(2736) + sqrt(19) + -5 + sqrt(475).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.44\nAnswer: -0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6222995 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/5765?\nAnswer: -1\/5765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2497 - 2494. Let b(i) be the first derivative of 2\/3*i**p + 0*i**5 + i**6 + 0*i + 3 + 0*i**2 + 0*i**4. Find the third derivative of b(q) wrt q.\nAnswer: 360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 752.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15118, -30385, -45652, -60919?\nAnswer: -76186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2 + 0 + 4\/3*l + 2\/3*l**3 = 0. Calculate l.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6226348 is divided by 309?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-1) - 9\/(36\/(-20)). Suppose -88 = -5*i + y, -41 = -5*i - h*y + 53. Sort -4, i, -2.\nAnswer: -4, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18394, -17136, -15044, -12118, -8358, -3764, 1664?\n\"Answer: 417*a**2 + 7*a - 18818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 2*t - 4*c, 113 = t + t + 5*c. Suppose -4*a + 61 = -t. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1685?\nAnswer: 1681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -9*q**3 + 50*q**2 - 57*q + 10. Let w(t) = t**2. Let p(u) = -5*m(u) - 30*w(u). Determine d, given that p(d) = 0.\nAnswer: 2\/9, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d**3 + 6*d**2 - 80*d + 4. Let o(g) = -11*g**3 + 13*g**2 - 186*g + 9. Let f(h) = -7*b(h) + 3*o(h). What is f(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341*c = -346*c + 2130. What are the prime factors of c?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -287\/10 or -0.05?\nAnswer: -287\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -77, -20, -2, 648 in ascending order.\nAnswer: -77, -20, -2, 648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/(171\/190*2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 229\/6 or 39?\nAnswer: 229\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -88\/1965 and -13\/18864.\nAnswer: 94320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + -47?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/6 - 78371*k\/3 - 627064.\nAnswer: (k - 156766)*(k + 24)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbnplllbmllllbbnmm. Give prob of sequence npl.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -5*z - 4*y, -3*y = -0*z - z - 3. Let v(d) = -3 + 1 - 236*d - z + 238*d. Calculate v(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117873 divided by 39291\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = -4*x - 4*x - 2*i, -14*x + 11*i - 92 = -18*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6027*b**3 - b + 4997 wrt b?\nAnswer: 18081*b**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*f + f = -36, -3*g + 27 = 3*f. What is the remainder when 20 - (-2)\/((-8)\/(-12)) is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*w*w**2*w)\/w)\/w*w)\/(w\/(w*(w**(-5)\/w)\/w*w*w)*w)*(w**(-1))**(3\/11)*(w\/(w\/(w*w\/(w*w**(-2\/5)))))**(-18)\/(w\/w**0)**14 assuming w is positive.\nAnswer: w**(-2226\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*i**2 + 271*i**2 - 138*i**2 + 0*i**3 - 3*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 177 (base 9) to base 12\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**2 + 229017*k - 229014 = 0 for k.\nAnswer: 1, 76338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -3. Let c = 4 + -5. Let d = 1.1 + c. Is j at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1098)\/72 - (-4)\/2. Let d = q - -13. Which is smaller: 1\/6 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641615049 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 72 = -4*m, 2*p + 4*m - 24 = -0*p. Let v = p + 2. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/3)*(d*d**2*d*d)\/d)**24\/(((d\/((((d**(1\/4)\/d)\/d)\/d*d)\/d))\/d*d)**(-33)\/((d*d\/((d*d\/d**(-2)*d)\/d*d))\/d)**(13\/3)) assuming d is positive.\nAnswer: d**(2621\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - 0.1. Let s = f - -0.6. Which is bigger: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -2\/3, 0.5, -7, -0.2 in increasing order.\nAnswer: -7, -2\/3, -2\/9, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 21 = -45. Calculate the common denominator of ((-36)\/s + -4)*(-29)\/(-8) and -31*(-1)\/(-16) + -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -152034 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114444001143 - -4?\nAnswer: 114444001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*p + 13 = 0, -4*d + 54*p + 28 = 56*p. Let f = 0 + -5. Which is the nearest to -2\/11? (a) f (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*w**2 + 4*w**2 + 98*w**3 + 5 + 5*w**2 - 7*w**2 wrt w.\nAnswer: 588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3928501531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95484 divided by 6.\nAnswer: 15914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + 3.8. Let k = -168473 - -94176311\/559. Let b = k + 14\/43. What is the smallest value in b, h, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*k**2 + 72*k + 15*k + k**2 - 20 + 8*k**2 - 25*k to f*k**2 + b + t*k and give t.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -8. Suppose -v*m = 7005 - 28605. Suppose -h = -5*r - m, -4*r - 1440 = 2*h - 0*h. What is r rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12382 = 8*t - 20442. List the prime factors of t.\nAnswer: 11, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = f + 14, 2*m = -3*m - 2*f + 27 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 13798.\nAnswer: -4139.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 5:38 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-607*h**2 - 783 + 783)*(-3*h + h + 3*h) + (h**3 - 2*h**3 + 0*h**3)*(0 - 2 - 1).\nAnswer: -604*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1365 is divided by 162.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-5 + 8 - 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4379335389822 + -254.\nAnswer: -4379335390076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqe when three letters picked without replacement from qeefqge?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h - 88 = 2*h. Let k(m) be the second derivative of -m**5\/20 - m**4\/4 + m**3\/2 + m**2 + m. Determine k(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 x when three letters picked without replacement from xmmmxmwx?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*(t\/(t*t**(-1\/7)*t))\/t)*t**(-2\/3)*t)\/(t**(-6\/5)*t**(1\/8)))\/(((t\/t**(-2\/11))\/t)\/(t\/(t*t\/t**(1\/2))*t))**1 assuming t is positive.\nAnswer: t**(33113\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 3*f - 4. Let t be l(4). Let i be (t + -35)\/(3\/9). What is the units digit of 5*7\/(i\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25836182*s**3 - 79066387 wrt s?\nAnswer: -77508546*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4 + 30 = 0. Let i = m + -17. What are the prime factors of -4 + (-476)\/i + 1?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -44b888 - -39?\nAnswer: -44b84d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 - 28*z - 6. Let x be c(-6). Let u = 86 - x. Let s be (-1)\/(-1 - (u + (-3 - -5))). Is 4 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1230 divide 680190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -1\/4*h**2 + 1\/72*h**4 - 12*h - 1\/18*h**3 - 13. Let y(b) be the first derivative of s(b). Let y(g) = 0. Calculate g.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**2 - 196*q - 1470 = 0?\nAnswer: -7, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3214*m - 4. Let z(t) = 641*t - 1. Determine -3*v(h) + 16*z(h).\nAnswer: 614*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 530737 times -1.71?\nAnswer: -907560.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = -37*b - 185 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**3\/2 + 9*y. Let t(d) = 7*d. Give q(t(i)).\nAnswer: 21*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 239*x**2 + 12 - 785*x**2)*(x - x - x**2) in the form n + y*x + d*x**4 + l*x**3 + b*x**2 and give d.\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 286754 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28725?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76)*2*-2 - sqrt(76))) + (sqrt(76) - (sqrt(76)*2 - sqrt(76))*-4 - sqrt(76)))\/((sqrt(16)*1)\/sqrt(4) + sqrt(4) - 4*sqrt(16)).\nAnswer: -5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 + -8015570728539.\nAnswer: -8015570728539.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 times -4?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**4\/12 - 4*y**2. Let q(j) = 16*j**2. What is r(q(k))?\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3028607 to four dps.\nAnswer: -0.3029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 4*l + 4*l)*(2 + 1 - 2).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 + 112*o**3 + 1444*o**2 - 3712*o - 5046.\nAnswer: 2*(o - 3)*(o + 1)*(o + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-4 + -50) + 125\/30?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 26*m**2 + 38*m - 410. Determine d(27).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 132865670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 71 from 1.98.\nAnswer: -69.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqq when three letters picked without replacement from tqtqqzb.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -509 and 0.37.\nAnswer: -188.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q - 72. Let c be n(-36). Let f(t) be the third derivative of c*t - 1\/33*t**3 + 0 + 6*t**2 + 1\/330*t**5 + 0*t**4. Factor f(k).\nAnswer: 2*(k - 1)*(k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l + 33. Let d be s(-11). Suppose -6*o + 20*o - 280 = d. Calculate the remainder when 30 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/66)\/((-6795)\/4983)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 3*s + 7. Let q(r) = r**3 + 3*r**2 + 39*r + 176. What is the remainder when s is divided by q(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5 = 1. Let h = d - -7. What is the remainder when 10 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**5\/60 - b**4\/6 + b**3\/2 + 31*b**2. Let y be (30\/40)\/(3\/16). Suppose 5*l + 16 = -t + y*t, -t = l. What is h(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9206119 to the nearest 10000.\nAnswer: 9210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 320985 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85ee25 (base 15) to base 6.\nAnswer: 344414212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/20)\/((-8)\/10).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/5))**(12\/11)\/((((i\/(i\/(i*i**(-11\/3)*i)))\/i)\/i)\/(i**(-1\/14)*i)))**(2\/29) assuming i is positive.\nAnswer: i**(11623\/33495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 3*r**2 - 3*r**2)*(-2 + 5 - 2)*(6*r**2 + 3*r**2 - 2*r**2).\nAnswer: -7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -263 - -449. What is the remainder when s is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - b - 59, -6*m = -m - 5*b - 55. Suppose -4*l - 120 = -m*l. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 2201531?\nAnswer: -2201540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/32*(-12)\/(-18).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/4 - 121*j**4\/2 + 3075*j**3 - 92039*j**2\/2 + 172019*j\/4 = 0. Calculate j.\nAnswer: 0, 1, 31, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6882497 is divided by 2294160.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*u**2 + 118*u**2 - 1228*u**2 - 724*u**2 - 2*u.\nAnswer: -2058*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*h = -8, 0 = 3*o - 3*h - 7 + 4. Let t be (0 + 2)\/(o\/(-3)). Solve 5*v = -4*b - 15 + 3, -v + b = -t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s**2 - 24*s - 39. Determine v(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(5\/2)*p))**(-2\/69))**(1\/9) assuming p is positive.\nAnswer: p**(5\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**2*g**2 - d**2*g - 2*d*g - 3*g**3 - g**2 + 24 wrt g.\nAnswer: -6*d**2 - 18*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 326581752 to the nearest integer?\nAnswer: 18072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**5\/10 - 208*b**4\/5 - 21839*b**3\/5 - 43056*b**2\/5 - 42849*b\/10 = 0. What is b?\nAnswer: -207, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3235 divided by 1?\nAnswer: -3235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7200 and 803200?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/67, -0.05, 8\/25, 1.2.\nAnswer: -0.05, -2\/67, 8\/25, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515 is divided by 117.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 329 = 27*i + 10*i - 1471 for i.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2 + 1*sqrt(75) + -3 - (0 + sqrt(75) + sqrt(75) + (sqrt(75) - (1 + (sqrt(75) - (sqrt(75) + sqrt(75)*1))))))**2.\nAnswer: 120*sqrt(3) + 696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52111373?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m - 8. Let c be p(-6). Find the third derivative of -n**c + 68*n**3 + 2*n**2 - 68*n**3 wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 + u**2 - 2*u + 1. Suppose 0 = s - 2*d - 21, 2*s = -3*d + 19 + 2. Let h be 2\/3 - (-5)\/s. Determine g(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 261458?\nAnswer: 261458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.13 + -2.83. Let r = n + 3. Suppose -115*z - 199 - 261 = 0. Which is the third smallest value? (a) z (b) r (c) 5\/4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.085696 + -285?\nAnswer: -284.914304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + 0.8. Let i = 731\/5 + -147. What is the biggest value in i, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g**3 - 2*g**2 - 6*g + 30. Let p be c(8). Round p to the nearest 100.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1231?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -8*w + 10693 - 10693. Let v(a) = 4*a. What is v(q(f))?\nAnswer: -32*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-4))\/((-4)\/(-16)). Let v(j) = -2*j - 2. Let k be v(b). Let u(s) = 18*s - 14*s - 4 + 2*s**k + 7. Determine u(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 2:35 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4, -2*k - 7 = -5*z + 193. Let x = 108 + k. What is the least common multiple of 2 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 a factor of 180453047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 437 - -280. Let d = 406 - x. Let p = d - -548. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.363 rounded to 2 dps?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.11 (b) -14 (c) 2\/3 (d) -2\/5 (e) -1 (f) -0.23 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 127, 142, 157?\n\"Answer: 15*l + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 665 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -90142188044102?\nAnswer: 90142188044102.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 + 19*i + 15. What is k(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 501396998 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 8 - -5 - 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/(-12))\/((-2)\/(-48)). Suppose 0 = q + 5*d + 10, -6 + 8 = -6*q - d. Which is smaller: w or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*j + 3792, 2*f + 2*j = 3*j + 1900. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((20\/3)\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 170.46712582 - 2.96720152. Let v = b + -167.5. Round v to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -240 + 138. Let z be 1 + 2 - v\/(-6). Let h = -9 - z. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -436*c - 4055. Let s be l(-12). What is the highest common factor of s and 5243?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/13, -3\/4, 1168130 in descending order.\nAnswer: 1168130, 3, 2\/13, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*p**2 + 885*p**4 + 2599105*p + 41*p**4 - 2598927*p wrt p?\nAnswer: 22224*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 31*d**3 - 3*d**2 + 3*d - 3. Let m(p) = -92*p**3 + 10*p**2 - 8*p + 8. Let y(s) = 3*m(s) + 8*q(s). What is the third derivative of y(o) wrt o?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 59*a + 120. What is g(-61)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 934223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 1. Let w be d(8). Let a be -1 - -5 - (7 - w). Suppose 0 = -a*m + 2*m + 2. What is the nearest to m in 0, 5\/6, 2\/3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 3\/5 (b) -0.12 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l + 22*l - 10*y = -38, 3*l - 3*y = -6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2877, -2696, -2515, -2334, -2153?\nAnswer: -1972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - (61 - 47) - (41 - -4).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 1263.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 4*a + 2. Let n be q(4). Suppose -12 + 2 = -2*v. Let 0*m**2 - 4*m**n + v*m**2 = 0. What is m?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 107 + -36. What is the derivative of -37*q + 38*q + 8*q**3 + 30 + 10*q**3 + k wrt q?\nAnswer: 54*q**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 1570*a**2 - 6*a + 6. Let f(w) = -1609*w**2 + 5*w - 5. Calculate -4*f(q) - 3*g(q).\nAnswer: 1726*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2150 + 2160. Is y at least as big as -20\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194519 divided by 6.\nAnswer: -194519\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43361?\nAnswer: 131, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 6*z**2 - z + 1. Suppose -2*c = -n - 33, 4*c + 3*n = -c + 99. Suppose -w + c = 2*w. Suppose -d = -0*d + w. Determine v(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/6 - (7 + (-247)\/38). Let p = 0.4 - -0.1. Which is the nearest to q? (a) 0.6 (b) -6\/11 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + -5*-6*(sqrt(243) + (((sqrt(243) + 1 + sqrt(243) - sqrt(243)) + sqrt(243) - sqrt(243)) + -3)**2 + (3*(0 + sqrt(243)))**2)).\nAnswer: -73016 + 810*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(1\/2)*v**(-11))**(-23)\/(((v*v**(1\/3)*v)\/v)**(-15)*v**(-3\/2)\/v*v**(3\/7)\/v) assuming v is positive.\nAnswer: v**(1691\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 8*r + 18. Let b be z(-2). Suppose -2*g + 2*v + 20 = 0, -4*v = -b*g - 7*v - 5. Solve 0 = g*j - 6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 0*b + 0 - 1\/12*b**4 - 11\/15*b**5 + 2\/3*b**3 + 7\/20*b**6 - 2*b**2. Let v(t) = 0. What is t?\nAnswer: -2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17266 or 189919\/11?\nAnswer: 189919\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070433271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1231, -1236, -1241, -1246?\nAnswer: -1251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by 184018\nAnswer: 35\/184018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -376.709214 rounded to the nearest ten?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, z: 1, e: 2, o: 1, y: 2}. What is prob of picking 2 t and 2 e?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6375735 + 3433535. Round b to the nearest 10000.\nAnswer: -2940000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 176615 by 35323.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1619*q - 1853*q - 100688 = 0 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 15 + 514*r + 3 + 9.\nAnswer: 514*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 5*z**6\/48 - 17*z**5\/20 - 39*z**4\/16 + 5*z**3\/6 - 812*z**2 - 2. Let q(s) = 0. What is s?\nAnswer: -1, 2\/25, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 2. Let o be z(3). What is the tens digit of 0 + 0 + o + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 741510\/(-527296)*32\/(-3)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39\/((-7)\/6*(-1)\/35). Let p = d - 469. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1212 and 6464.\nAnswer: 19392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 + 8*p - 4. Let j be n(-4). Let k be ((1\/j)\/(-1))\/(3\/(-6)). Which is the biggest value? (a) -1 (b) 4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -30. Suppose -o*k + 306 = 3*c - 2*c, 4*k - 5*c = 408. Is 29 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 928\nAnswer: -7\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1366 + -546. Suppose -t - 2*t + 496 = -k, 5*t = 5*k + j. What are the prime factors of t?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from vvvvvvvvvvvvvqvqqvvv?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 7722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, q: 2}. What is prob of picking 2 h and 1 q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -160757 at most -160834?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31102290 divided by 6.\nAnswer: 5183715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -52*l**3 + 39. Let p(m) = -m**3 + 1. Give n(t) - 39*p(t).\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q + 51. Let z be h(13). Let b(f) = -6*f**3 - 6*f**2 - 4*f + 1. Let c(w) = -w**3 - w**2 - w. What is z*b(n) + 4*c(n)?\nAnswer: 2*n**3 + 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 15*u = -571. Suppose -5*k + u = g, 0 = -2*k - 5*g + 192 + 18. Suppose -28 + k = 3*v. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 2, s: 7, i: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10454595 and 5115.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20100 (base 6) in base 7?\nAnswer: 10443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-w - 2*w + 4*w)*(0*w**2 - 3*w**2 + 2*w**2) + 2*w**3 - 2 + 2)*(9519*w - 843*w**2 - 9519*w).\nAnswer: -843*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6290400 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(((((b**(-2\/11)\/b)\/b)\/b)\/b)\/b)*b)**(-21\/2)*(b**(-4))**(-4\/7) assuming b is positive.\nAnswer: b**(-11261\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 - -41. Let q be (-2 + o)*8\/(-20). Suppose 0*t + 99 = 5*f + 2*t, -3*t + q = f. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 11*i**2. Let y(a) = -46*a**2. What is y(z(k))?\nAnswer: -5566*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 2*b + 5*h, 2*b - 357*h + 360*h + 21 + 12 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 4 + 4)*(-8*s + 7*s - 6*s) + (-2 + 1 + 0)*(2*s - 5 + 5) as b + a*s and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/360)\/((-3)\/50*(-154)\/(-33)).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**5 - 715*m**4\/7 + 1367*m**3\/7 + 2762*m**2\/7 - 5692*m\/7 + 56 = 0.\nAnswer: -2, 1\/14, 2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 2) + (77 - 98)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-10)\/45))\/((-3570)\/(-119))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10112211 (base 3) to base 12\nAnswer: -15b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-8) - 8870\/(-40) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10443*j**3 - 907833*j**2 - 61584*j - 1044.\nAnswer: 3*(j - 87)*(59*j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**18\/y)\/y**(-22))\/(y\/(y\/(y\/y**(-1\/3)))*y**(12\/5)) assuming y is positive.\nAnswer: y**(544\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in 0.4, 0.3, 0.5, -24, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 8:49 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 30 = -3*q, 0 = 3*q + 2*q - 3*p + 10. Let r(f) = -f**3 - 5*f**2 - 3*f - 6. What is the remainder when 25 is divided by r(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 t, and 1 n when three letters picked without replacement from {n: 1, p: 7, z: 4, s: 5, m: 1, t: 2}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 538\/(-9) + (-2)\/9. Let o be 1\/3*z\/(-10). Suppose -o*r + 79 - 31 = 0. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 151587831 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 + 10*v + 1. Let w be z(7). Let f be (4\/(-3))\/(18\/w). Solve f*m + 10 = -2*t, -3*t - t - 13 = -3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4193 or 4254?\nAnswer: 4254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/225 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 5.07. Let h = -0.13 - x. Let a = 164\/15 + -34\/3. What is the closest to a in h, -1\/4, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-21) + (1332660\/441 - -50). Factor 16*b**2 + h - 384*b - 2\/9*b**3.\nAnswer: -2*(b - 24)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 432 and 1296?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 404 - -1732557?\nAnswer: 1733163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(560)*1)\/sqrt(10))\/(1*sqrt(32)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 108020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/3, 0.2, 37?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167592 is divided by 1331.\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 292*u - 389. What is the units digit of j(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1635210 (base 11) to base 7\nAnswer: 32463213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 5*p**4\/6 + 83*p**3\/6 + 91*p**2\/2 + 55*p - 1. Is j(-36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - 3047063?\nAnswer: -3047077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2303 - 9291\/4. Let u = -3726 + 52125\/14. Find the common denominator of u and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**7)**15\/((v\/v**(2\/37))\/v*v*v\/(v*v**(-1)*v*v)) assuming v is positive.\nAnswer: v**(4442\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/6 and -41\/333.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266158?\nAnswer: 2, 73, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933451938?\nAnswer: 2, 3, 1920683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + -3)\/(3\/42). Let b(f) = -2*f + 31. Let o be b(g). Solve 0*s + o*s - 15 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*-1)\/sqrt(9) - (-5 + sqrt(171))) + ((sqrt(931)*-2 + sqrt(931))*4)**2.\nAnswer: -4*sqrt(19) + 14901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 59, 159, 259, 359?\n\"Answer: 100*g - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 12*c**2 + 11*c + 10. Let h be v(11). Let r(o) = 9*o**3 + 11*o**2 + 16*o + 67. Is r(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**2 - 63*g = 0. What is g?\nAnswer: 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 824 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*w = -1340, 2*s - 2*w = -3*s + 3326. Suppose 0*a + s = 4*a. List the prime factors of a.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/10)\/(10\/225). Suppose 5*i - u = -7. Let q = i + -3. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -203*a**3 + 6*a**2 - 6*a + 1. Let f be r(1). Let z = -178 - f. Solve 2*o = 8*o + z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 5 = 32*g - 35*g, 3*r + 11 = 4*g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1388 + 4?\nAnswer: -1384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*p + 2*p**2 - 1 + 24*p**3 + 16*p + 0*p + (p + 2*p - p)*(-4*p**2 + 4*p**2 + 2*p**2) - 3*p + 2*p**3 + 3*p as z + y*p + m*p**2 + f*p**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 943 - 663. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -15. Suppose -k*l + 3*r = 0, 3*l - 40 = -2*l - 5*r. Suppose -x - l + 8 = 0. Solve 0 = -2*g + x*w + 20, 3*g - 4 = 2*w + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 96 + 22 = 0. Suppose p - 9 = -2*n, 6*p = 4*n + 3*p + 7. Suppose 4*t - 3*t = 2*l - 31, 0 = n*l + 5*t - b. Solve l = 3*c + c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y**3 + 143*y**2 - 133*y - 271. Let o be l(57). Round o to the nearest ten thousand.\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7384103299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q**5 - 1948*q**4 - 254513*q**3\/2 - 1031126*q**2 + 1079091*q\/2 - 68445 = 0. Calculate q.\nAnswer: -117, -10, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 33\/4 - (-3)\/(-12). Let g = -3 + c. Let u = -12535 + 12533. Put g, -12, u in increasing order.\nAnswer: -12, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33029 - 297259\/9. Put c, -2, 6\/11, -12 in increasing order.\nAnswer: -12, -2, c, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -29110.\nAnswer: -87330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -197145, -394432, -591719?\n\"Answer: -197287*k + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7689 and 95763.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 419658 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 87 = -55. Solve -5*t = -4*h - b*t + 16, 0 = -h - 4*t - 13 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1470.927 + 0.0134098.\nAnswer: 1470.9404098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqzjjqxqqzzzgj. Give prob of sequence xa.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.156 - 39.5584?\nAnswer: -39.4024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 44 = 2*d, -2*d - 2*k + 13*k - 8*k = 36 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = p + 5*s - 15, 5*p + s - 47 = 0. Let d = p + -23\/2. Let u be (24\/10 - 2)*-5. Which is smaller: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/7 - 773*h**2\/7 - 3016*h\/7 + 46140\/7.\nAnswer: -(h - 6)*(h + 10)*(h + 769)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - y + 2*y)*(-3 - 6 + 20)*(-4 - 5 + 4).\nAnswer: 165*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -70808 and -1.9?\nAnswer: 134535.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1731 is divided by 139?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 12 + 107*o + 0.\nAnswer: 107*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**9\/36 - 3*y**5\/10 - 19*y**2. What is the third derivative of u(f) wrt f?\nAnswer: 1680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 305 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 + 2 - 2*o + o**2 + 0*o**2. Let f(y) = -y**2 + y + 7. Let x(i) = 17*i**2 - 15*i - 65. Let s(b) = 10*f(b) + x(b). Determine 9*l(z) - 4*s(z).\nAnswer: -z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 2) + 0 + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2308*c*d**2 - 10*c*d - 165*c*s**2 + d*s**3 + 1281*s**3 wrt d?\nAnswer: 4616*c*d - 10*c + s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - c + 28. Let v be r(0). Suppose v = z - 3*z. Let s = z + 18. Solve -2 = 3*n + b, s*b + 25 = -0*n + 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 218393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - (-30)\/(-20))*2*1. Solve 2 + b = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.1 + 1.1. Let l = -13678 - -13606. Sort l, -0.2, 0.3, w in ascending order.\nAnswer: l, w, -0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 1, -9, -35, -83?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + sqrt(3))*5 - (0 + sqrt(432) + sqrt(432) + -1 + sqrt(432))**2) + -1 + (-6*sqrt(72))\/(sqrt(18)\/sqrt(12)).\nAnswer: -3885 + 43*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*g = w + 3, 5*w - 1 = -2*g. Let k(y) = y**2 - 2*y - 1. Let n(f) = -f**2 + 2*f. Let l = 377 - 380. What is g*k(j) + l*n(j)?\nAnswer: j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 2*h**2 + 4*h - 1. Let y be c(-3). Let a(i) = -i. Let t be a(y). Solve 2 + t = -5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.91 + -0.09. Let f = -6\/11 - -35\/44. Which is the second biggest value? (a) 2\/11 (b) f (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22112421 + 5?\nAnswer: 22112430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15131795?\nAnswer: 5, 7, 432337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 1 = -3*d, -p = -2*d + 2*p + 4026 - 4029 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 309 or 1538\/5?\nAnswer: 1538\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 10*d**2 - 627*d - 468. Determine v(64).\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1539) + -2 + (sqrt(1539) - (sqrt(1539) + sqrt(1539) + sqrt(1539)*2)*2) + sqrt(1539)*1*-2 + sqrt(1539) + sqrt(1539) + (sqrt(1539) + 0)*-6)**2.\nAnswer: 216*sqrt(19) + 221617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f - 3215 + 3457 = 0 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*r + 0)*(4 - 3 - 2) + 34*r - 98*r - 25*r.\nAnswer: -91*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + d = -95, i - 2*d = -2*i + 50. Let t be (-6)\/4*i\/(-15). Find q such that t*q**3 - 3*q**5 + 2*q**5 - q**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, m: 1, w: 3, x: 1, p: 3}. What is prob of sequence wqpp?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1531384 is divided by 798?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10695 and 138?\nAnswer: 21390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 452, 450, 448, 446, 444?\n\"Answer: -2*f + 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12460, 46859, 103200, 181483, 281708?\n\"Answer: 10971*v**2 + 1486*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 1:16 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*(sqrt(2448) - (sqrt(2448) + 2))**2 + 3)*-4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 2*a**3\/3 + 5*a**2\/2 + 9*a - 6. Let g(u) = 2*u**2 + 4*u + 8. Calculate -7*g(y) + 6*p(y).\nAnswer: -2*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*g*t - 41825123*a*g - 8922645*a*t + 3*g*t + 6*t with respect to g.\nAnswer: -2*a*t - 41825123*a + 3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 5*m + 2*p + 2*p, 5*m + 5*p + 10 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/19)\/(c\/((c**(1\/10)*c)\/c*c))*(c**(2\/3))**2 assuming c is positive.\nAnswer: c**(877\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15974190 by 347265.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 776 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -82, -294, -504, -712, -918, -1122?\n\"Answer: x**2 - 215*x + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225, -457, -689, -921, -1153, -1385?\nAnswer: -1617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 + 282*h**2 - 345*h**2 + 0 + 4 + 0.\nAnswer: -63*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -3\/5 (b) 32.3 (c) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 7*v = 0. Let m be 1\/(-2)*(1 + -7). Suppose 3*d - 9 = v, 0 = -l + 5*l - m*d + 9. Solve -6*c - 3 = -2*c + i, l = -3*c - 5*i + 19 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-1 + 6\/4). Suppose -u - 3 = -2*v + j, 2*v - 2*u = 2. Solve -5*z + 4*l = -2*z - 5, -v*z = -4*l - 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.41 - -0.01. Let a = -4.6652 + -0.3348. Sort f, -2\/7, -3\/7, a in descending order.\nAnswer: -2\/7, f, -3\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 27*c. Let q(u) = -9*u + 5*u + 2*u. Determine q(k(h)).\nAnswer: -54*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/171 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0748 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**4 - 2*v**3 - v**2 + 2*v - 2. Let y(u) = u**4 - u**3 + u - 1. Suppose -3*g = l + 10, 2*l - 4*l = -4*g. Let a(z) = g*y(z) + m(z). Factor a(w).\nAnswer: w**2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1721 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28380 or 827?\nAnswer: 827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2.5 * 4327\nAnswer: 10817.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 197488899 a multiple of 718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 328379, 656775, 985195, 1313651, 1642155, 1970719?\n\"Answer: 2*l**3 + 328382*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**12\/t)\/(t\/(t\/(t\/(t\/t**(-5\/8)))*t)*t)*(t**0)**(-3\/2) assuming t is positive.\nAnswer: t**(93\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82 - 41. Let m = 26 + z. Let k = -510 - -533. What is the remainder when m is divided by k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23215473 divided by -4?\nAnswer: -23215473\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - 16. What is the highest common divisor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 858.7679 weeks?\nAnswer: 144273.0072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 3. Let j be l(4). Let r(a) = a**3 + 8*a**2 - 3. Let o be r(-8). Sort j, 2, o.\nAnswer: o, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*z + 3 = 0, 0*z + 3 = -3*z. Let o(d) = 2*d**2 + 3*d - 5*d + d**3 - 7*d**h. Determine o(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -9, -20, 12, -2 in increasing order.\nAnswer: -20, -9, -2, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - j - j - 3)*(0*j**3 - 3*j**3 - 10*j**3) - j**4 - 5*j**4 + 4*j**4 + (0*j**2 - 2*j**2 + 0*j**2)*(-2*j**2 - 2*j**2 + j**2).\nAnswer: 30*j**4 + 26*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/((-28)\/(-48)) + 0. Let d = j - -17. Let r(s) = s**3 - 4*s**2 - 4*s - 2. Let i be r(5). Solve -2*v + 3*k + 6 = -2*k, 9 = i*v + d*k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6280710607?\nAnswer: 6280710607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d. Let u(a) = -25*a**2. Determine c(u(q)).\nAnswer: -100*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 d when four letters picked without replacement from {t: 4, d: 7}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from {c: 3, a: 2, h: 8, w: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 5*f + 45 = -0*f, -3*h + 5*f - 35 = 0 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 5. What is the second smallest value in 0.1, q, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 29\/2 of a microgram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 960 - 4796\/5. Which is bigger: r or -4\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.216 - -149.784. Let r = v - 153. What is the third biggest value in 4, 0.2, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/2)\/(7\/(-42)). Let q(l) = -2 - 3 + 5*l**2 + 4*l**3 - c*l**3. Suppose -3*z + 12 = 0, 0*z + 4*z = -2*f + 6. Determine q(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 118? (a) 1 (b) -0.9 (c) -4\/11 (d) -2.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/30)\/(3\/(-36)). What is the closest to 0.1 in s, -2, 4.9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1207758 + 2667862 = 47*r. Round r to the nearest one thousand.\nAnswer: 82000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6897 and 283252.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*y - 189*y - 49620 = 782*y for y.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + ((-3)\/(-3))\/(-1). Let l = 37 - 34. Calculate the smallest common multiple of l and m\/(3*2\/30).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*c + 565, -3*l - 583 = -5*c - 4*l. Let g = 56 - c. Let d be g + 3 + 0\/3. Round d to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2508*c**2 + 8*c - 13. Let g be r(4). Suppose -4*i - 8982 - 41207 = -5*a, 4*a = -i + g. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/5 or -1\/44?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/9 and -1\/1430?\nAnswer: 12870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 3:25 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 0*v = 22*v. Let k = 52 - 44. Sort v, -5, k, 5.\nAnswer: -5, v, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 106, -1, 8 in increasing order.\nAnswer: -7, -1, 8, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-10) - 1\/(-45). Suppose 7*y - 20 = 2*y, 3*f + 10 = y. Let i be f\/(-30)*(3 - 0). What is the second biggest value in 0.1, i, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 4 = 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 107\/5 - (-6)\/10. Let a = 27 - b. What is the derivative of -c - a*c - 5*c + 2*c + 11 wrt c?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151.5838 rounded to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y - 196. Let p(j) = 2*j**2 + 3. What is u(p(t))?\nAnswer: 10*t**2 - 181","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 85988.81ml?\nAnswer: 85.98881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*x = -3*n + 8, n = 5*x - 21. Let r be (91 - 3 - 1)\/n. Let l = r + 90. Solve -4 = l*d - 4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**4\/2 - 4*y**3 + 25. What is the third derivative of r(d) wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -8*o**6\/15 - 5*o**4\/12 + 1093*o**2\/2 - 1267*o. What is the first derivative of b(w) wrt w?\nAnswer: -64*w**3 - 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2673*a + 1846 - 135 + 2563 wrt a.\nAnswer: 2673","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2812563578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/5 + 362628\/105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1500 times -0.7\nAnswer: -1050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3\/5, 365, -1\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*m = -5*j - 31, 2*m = 4. What is the units digit of j - -9 - 1\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 120 = 33*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 - 26 + 26 + (3*x + 0*x + 0*x)*(6*x**2 - x**2 - 3*x**2).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of -10 + 1\/((-2)\/(-21034) - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*g**2 - 108*g**2 + 53*g**2 as v*g + o*g**2 + y and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y**2 + 7*y**2 - y**3 + y**2)*(-120 - 791 + 83 - 658 - 441).\nAnswer: 1927*y**3 - 1927*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - 3*f + 3. Let j be h(2). Suppose 4*l = -4*r + 40, -j*l + 0 = -r - 20. Suppose -2*a - b = -6, l*b + 5 + 4 = 3*a. Let x(y) = 4*y. Give x(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40797 - 33339 = 2144*g - 92756 - 97034 for g.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3) + (-8)\/3. Is 85 + 4 + -2 + b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*(1106\/(-70) + 17)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knnknnn. What is prob of picking 2 n and 2 k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.11 - -2.2. Let b = d - 0.09. Which is smaller: -4 or b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 12194 in increasing order.\nAnswer: 1, 5, 12194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 15 = -3*t, t - 3*q = -4 + 2. Suppose 4*x - 3*u = 29, 4*x + 2*u = 7 + t. Suppose 0 = -2*f - 4*o + 2714, 0*o = -f - x*o + 1351. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 1:20 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*v = -150*v - 12. Solve -v*b = -3*i - 3*b + 3, 4*i + 5*b + 7 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12471 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 0*c + c + 31 + 6*c + 19*c**2 + c**3 + 7*c. Is 7 a factor of t(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/1513 or -145?\nAnswer: -6\/1513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = p - 3*p. What are the prime factors of p?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -438 + 438 - 2*q. Let c(y) = y**2 + 6. What is c(o(m))?\nAnswer: 4*m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13609263 to the power of 1\/2, to the nearest integer?\nAnswer: 3689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*r - 33 = 3*v + 59*r + 22, -5*r + 66 = -4*v for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3640 by 3640.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 520 by -119.\nAnswer: -520\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 2492.992386.\nAnswer: -2491.992386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 2*f - 13 = 0, -21*f + 25*f = -5*n + 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9098 is divided by 1289.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 10:40 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1431 + -1431.12. What is the fourth smallest value in -3, -2, 3\/5, b?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.12559 litres to millilitres.\nAnswer: 53125.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 510054 (base 6) to base 4.\nAnswer: 21310102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 363\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(176) + -3)**2*1 + ((sqrt(88) + 6*(sqrt(88) + (sqrt(88) - (sqrt(88) + 2*sqrt(88)) - sqrt(88))))\/(6*sqrt(128)))**2.\nAnswer: 24*sqrt(11) + 107891\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -91*u + 68. Let s(g) = 17*g + 2. Let b(k) = i(k) + 6*s(k). Let x(d) = 4*d**2. Give x(b(h)).\nAnswer: 484*h**2 + 7040*h + 25600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2418619 rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*h - 1649 = -365 - 598 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y + 1 = -23*y, 10*w - y = -15 + 8 + 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -89, -129, -167, -203?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s = 4*s + 45. Suppose -3*r = 31 + 206. Let f = r + 82. Solve 20 = s*o - 3*m, 0*o - f*o + 5*m = -12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -482.2641 rounded to the nearest ten?\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -131 - -133. Calculate the least common multiple of o and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 - 50. Suppose -d + 2*q - 11 = -31, p*q - 2 = 0. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3706 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 6*t**4 + 19*t**3 - 241*t**2 - 219*t + 2393. Let o(a) = 2*a**4 + 6*a**3 - 80*a**2 - 74*a + 798. Let u(b) = 4*n(b) - 14*o(b). What is i in u(i) = 0?\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 443502 and 917946.\nAnswer: 39471678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/4110 and 125\/1542?\nAnswer: 1056270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u + 5. Let b(g) = -40*g**2. Give b(z(n)).\nAnswer: -160*n**2 + 800*n - 1000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 8\/3*k**4 - 4*k**2 - 2*k**3 + 0*k + 0 - 16\/15*k**5. Factor i(s).\nAnswer: -4*(4*s - 3)*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89*i**3 - 36*i**2 + 29*i**2 + 24*i**2 - 18*i**3 to the form h + j*i**3 + l*i**2 + u*i and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1200 and 1946400?\nAnswer: 1946400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -188*t**3 + 57*t**3 - 179*t**3 + (-1 - 1 + 10)*(-3*t**2 + 3*t**2 + 3*t**3).\nAnswer: -286*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3238*o - 631415. Determine y(-195).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9143 divided by -1\nAnswer: -9143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/1955305 and 7\/391061.\nAnswer: 1955305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -375*y + 1862. Give s(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t**2 - 638*t + 3999. Give z(121).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 539, 1 in decreasing order.\nAnswer: 539, 10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1169200 divided by -790.\nAnswer: 1480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4179.\nAnswer: 3, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4*w**2 - 4600*w + 9216 = 0.\nAnswer: -1152, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/4)\/(v\/((v\/v**(2\/11)*v)\/v))*(v**(-7)\/v*v*v*v)\/(v\/v**(4\/3)) assuming v is positive.\nAnswer: v**(-673\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2127 or 192016?\nAnswer: 192016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 4. Let w be z(-4). Let h be (-2)\/10 - (-272068)\/340. Suppose -5*l + 0*l + h = w. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w**(1\/5))\/w**17)**(-3))**(-24))**(-49) assuming w is positive.\nAnswer: w**(278712\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 13*m + 3*r - 26 = 0, 36 = 2*m - 2*r. What is the greatest common divisor of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3*(169\/3 - 1) is divided by -75 - -88 - 0\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4*a - u - 253, -a = 4*u - 58. Suppose 71*o + 3*m - 108 = 69*o, 0 = 4*o - 3*m - 126. Calculate the remainder when a is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**5\/2 - 15*y**4\/2 + 141*y**3 + 453*y**2 - 279*y\/2 - 891\/2 = 0. What is y?\nAnswer: -11, -3, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 11*w**2 - 10*w + 11. Determine c(-3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - ((-31 - (-2 - 14) - -1) + 6).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdm when three letters picked without replacement from {m: 2, f: 6, s: 1, w: 1, d: 3}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = 7*b - 144. What is the least common multiple of 2\/11 - ((-8670)\/110 + -11) and b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + r + 1. Let y(j) be the first derivative of -j**4\/2 + j**3\/3 + j**2\/2 - 43. Let f be y(r). Solve -c = -0*c - f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13 + 4*z**2 + 797*z - 797*z with respect to z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k + 11. Let q be u(-4). Let n = q + 30. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 9:26 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 3:56 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 37.13147 millimeters?\nAnswer: 37131470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -7 (c) 0 (d) -0.5 (e) -5.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -3*v - 65. Suppose 0 = 10*r - v*r + 102. Calculate the remainder when r is divided by (6 - 3)*-1 + 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -42 (c) -3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 15. Let x = 487 + -486. What is the nearest to x in 1\/2, 1\/8, n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 606934?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/((16\/(-6))\/(-2)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 11*j + 84 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3\/2, 5 in descending order.\nAnswer: 5, 3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*1 - (-65)\/(-5). Let z be (-6)\/21 + (-2804)\/b. Let q = z + 57. Is q 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 bblbztbbtcltlltl. Give prob of sequence bbzb.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*z = -79, 2*z - 16 - 18 = -2*r. Suppose 6*g + r = -3. What is the remainder when 22 is divided by (-5 - g)*1 + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 1 + j - 5 + (1 + 2 - 1)*(2*j + 2*j - 5*j) - j - 2 + 2.\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/(-45)*(-13)\/20*-5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -48, -50, -32, 12?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 at most as big as -1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 22*w - 236 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2863728407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50631 is divided by 25042?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**3\/7 + 3218*t**2\/7 + 12896*t\/7 + 12904\/7 = 0.\nAnswer: -2, 1613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62740, -125385, -188046, -250723, -313416, -376125, -438850?\nAnswer: -501591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35828918929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25842 and 6?\nAnswer: 25842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 8:19 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*12\/16*24\/(-36)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 5*n - 18, -5*u + 1 + 10 = -2*n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, m: 2}. Give prob of sequence umu.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 - (1\/(-5 - -6))\/1 is divided by (-8)\/10 - 129\/(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/10, -7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1111, 2235, 3371, 4525, 5703, 6911, 8155?\nAnswer: 9441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*t + 592 = 124*t. Is 50 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l*p*v**3 + 30*l*p*v**2 - 15*l*v*x + 343*p*v**2*x - 1486*p*v**2 - 28*v**3*x - 6*v**2 - 2*v wrt x?\nAnswer: -15*l*v + 343*p*v**2 - 28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -20*p**2 + 18*p + 4. Let q(b) = -11*b**2 + 9*b + 2. Determine -3*g(m) + 5*q(m).\nAnswer: 5*m**2 - 9*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*y - y. Suppose 5*a - 495 = 5*r, 97 = a - 3*r + r. Calculate the remainder when a is divided by (26\/y)\/(2\/(-12)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/(-2) - -2) + 39501\/8778. Suppose 3*h - 27 = -0*h. Solve l = k*l + h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 26 = -6. Let w(p) = 7*p**2 - 5*p + 8. Let z be w(h). Let f = z + 651. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and 300.\nAnswer: 4200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = 38*n + 11*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 21 = -7*i, 143*p = -4*i + 141*p - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-8)\/g)\/g)\/(g*g**(3\/8)))\/((g\/(g*((g**(-2\/37)*g)\/g)\/g)*g)\/g*g\/g**(2\/3)) assuming g is positive.\nAnswer: g**(-11333\/888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(3\/7)\/t)\/t)\/t)**24\/(((t\/((t*t*t\/(t*t*t**(2\/17))*t*t)\/t))\/t)\/t)**(-7\/10) assuming t is positive.\nAnswer: t**(-75841\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 12 = x. Let r(b) be the first derivative of b**4\/4 + b - 23. Let v be r(-1). Solve v = x*i - 2*i - 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45384 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**3\/5 + 808*r**2\/5 - 39984*r\/5 - 83232\/5 = 0 for r.\nAnswer: -2, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(5\/6)*(-2744)\/(-2058). Factor -2\/5*a**3 - 6\/5*a**2 + m + 0*a.\nAnswer: -2*(a - 1)*(a + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*p - 196 + 1705 + 795 = 0 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - 3*sqrt(171)) + sqrt(1216)*-1 + (sqrt(1216) - (-2 + sqrt(1216) + 3)))**2 + 5.\nAnswer: 32*sqrt(19) + 4870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 14 = -3*a, a + 1 = 3*i + i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3075724 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3945?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 13*y - 2. Let l be c(2). Let r = 23 - 6. Suppose -3*m + r = -5*d, 5*m - d - 34 + 13 = 0. Solve a - m = -3*a, a + l = -5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*2)\/(15\/(-10))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 6*k**5\/19 + 274900*k**4\/19 + 733030*k**3\/19 + 274880*k**2\/19 - 183256*k\/19 = 0?\nAnswer: -45814, -2, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/8)*j)**(-6)*j*j**(-10)*j**(-1\/3) assuming j is positive.\nAnswer: j**(-175\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6 - -87.2.\nAnswer: 89.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-72) + (-1)\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3564220207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*o - 40 = -204*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 3, 2, 1, 446725 in descending order.\nAnswer: 446725, 3, 2, 1, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 302046 by -98.\nAnswer: -151023\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q. Suppose -4*r - 5*i = 10 + 2, -18 = r + 5*i. Let p(v) = -15*v**2 - 10*v**r + 10*v**2 - 15*v**2. What is p(k(l))?\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (93\/(-62) - (-273)\/10)*45. Calculate the lowest common multiple of q\/(-86)*2\/(-3)*1 and 34.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -2*l + 9, -3233*l + 9 = -3230*l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 74439755 less than 85612?\nAnswer: -74354143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 2*f - 2. Let u(z) = 3*z + 2. Let c(g) = -2*u(g) - 3*w(g). Find the first derivative of c(r) wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7*1 - (-36 + 39) - 6. Sort -88, i, 1 in descending order.\nAnswer: 1, i, -88","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 16) to base 5.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -4, 2565, 0, 60\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 1524?\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 less than or equal to 22869\/2000?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 8:24 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163271043.\nAnswer: 3, 13, 17, 23, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 4512337.234 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1 - (161 + -287 + 194).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5388600 is divided by 175.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*g - 1202, 2*g + 729 = 3*n - 3*g. What are the prime factors of n?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1015 is divided by 127.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125537936 to the nearest integer?\nAnswer: 11204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-12)*(1344\/14)\/6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501256104 to the power of 1\/2, to the nearest integer?\nAnswer: 38746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 921 + -10907\/12. What is the common denominator of 89\/24 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**2\/l)\/l)\/l)\/l**(-3)*l**(3\/13)*l\/(l*l**(-1\/14)*l)*l)**(5\/2) assuming l is positive.\nAnswer: l**(2095\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 84513 a multiple of 429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -5 - (-2 + 1 + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 43\/4, -4, -1, -6, -17 in increasing order.\nAnswer: -17, -6, -4, -1, -1\/5, 43\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3164 - -3165. Is 49\/6 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 884*s - 883*s + 3*h - 302 = 0, s - 3*h = 290. Let t be 0 - 11 - (-1 + 0). Calculate the remainder when (s\/t)\/((-2)\/5) is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (-708)\/(-100)) + 19?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377 is divided by 39?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13454\/35190 + 4\/46. Let z = l + 1\/765. Solve -6\/17*g**4 + 0 - 2\/17*g**2 + 0*g - z*g**3 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xccc when four letters picked without replacement from ncixcszciics?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = q + 10. Let k be (q - 49 - 0)\/(-4). Let h = k + -713\/60. Is 1 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3472 + 5129. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1828644 is divided by 30993.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/101 + -383\/707. Which is the biggest value? (a) 24 (b) u (c) -10 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -74.46 * -32.\nAnswer: 2382.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u + 83*u**2 - 335*u**2 - 515*u**2 + 2*u to g + l*u**2 + s*u and give l.\nAnswer: -767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*a + 3 = 0, -2*r + a - 119 = 3*r. Let h be (-15)\/4*(5 + -1). Let j = h - r. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 27*b - 84. Let t be m(-16). Suppose 0 = -21*w - 29 + t. Solve -5*j = 2*d - 5, 2*d = -w*j + 5*d + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100200102 + -220?\nAnswer: 2100122112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-49))\/((-447)\/1043*2\/(-3))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2166731?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6469014 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209) - (sqrt(209) + sqrt(209) + sqrt(209)*2))*1 + -5*-2*sqrt(209))*-2)\/((sqrt(539) - (sqrt(539) + sqrt(539)*-1))*4*-2*-1).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 + 3*m**2 - 3*m**2 + 2*m**3 + 0*m + 0*m + (0*m**2 + 4*m**2 - 3*m**2)*(m + 0*m + m) - 349*m**2 + 349*m**2 - 98*m**3 - 2*m**3 - 3*m**2 + 3*m**2.\nAnswer: -98*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*d*z**2 - 30*d*z + 20*z**2 + 5 wrt d?\nAnswer: -3*z**2 - 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000727 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5013024 and 2149572?\nAnswer: 7932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 + 6.9. Let k = -130.9 - -125. Let p = d + k. Sort 0.3, p, -3\/5 in ascending order.\nAnswer: -3\/5, p, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3\/2, 1, 1474, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 60575, -5, -0.5, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*f**2 + 11*f + 98 + 87 - 187.\nAnswer: -104*f**2 + 11*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 433 + -424. What is the nearest to -0.3 in 2\/7, o, -0.1, 3\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -10*i. Let a(p) be the second derivative of 0 + 0*p**3 + 24*p + 0*p**2 - 1\/3*p**4. Determine y(a(u)).\nAnswer: 40*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1206028.845s?\nAnswer: 1.9940953125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1042\/31773 - -4\/623. Let i(c) be the first derivative of -v*c**3 + 10\/17*c - 2 + 4\/17*c**2. Find z, given that i(z) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 929 smaller than 931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4135?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1250 - 1250. Let k be 4\/21*(-3)\/(-2). Let q = -24.97 - -24.9. Which is the nearest to q? (a) k (b) o (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -795, -917, -1107, -1353, -1643, -1965, -2307, -2657?\n\"Answer: 2*q**3 - 46*q**2 + 2*q - 753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-2*sqrt(360))\/(sqrt(6) + sqrt(6) + -2*sqrt(216) + sqrt(216) + sqrt(6) + sqrt(6)))\/(-1*(-1*sqrt(108) + sqrt(108)) - (-6*sqrt(108)*1 + sqrt(108))).\nAnswer: -2*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1872.8 + -1873. What is the closest to 2\/11 in 8\/9, -1\/2, t, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 + -19 + -5 - (56 - 56).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from niohinhnn. What is prob of picking 3 n and 1 h?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133289 divided by 6.\nAnswer: 133289\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1709 (b) -1\/11 (c) -3\/2 (d) 4.23 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -0.05, -4, 4, 0.12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51*b**3 + 26025*b**2 + 26076*b.\nAnswer: -3*b*(b + 1)*(17*b - 8692)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c. Let v(n) = n**2 + 8*n + 13. Let y be v(-6). Calculate d(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88880601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 12:55 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13049 is divided by 145?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1983.25 rounded to the nearest 10?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 q, and 1 t when three letters picked without replacement from {t: 9, f: 2, q: 5}.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/66*5*(-4)\/(-5).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) -4 (c) -38\/7 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 5:48 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145237 and 49502.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8516 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33.2576 - -0.0576. Let k = -33.19998536 - v. What is k rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a factor of 1425265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 12. Which is the nearest to 1? (a) 1 (b) -0.03 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50\/9 - 632\/117. What is the closest to 2\/5 in -5, 2, -1.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**2 - 163\/4*d**4 + 252 + 18*d + 0*d**3. What is the second derivative of w(i) wrt i?\nAnswer: -978*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 13*d**2 - 13*d + 7. Let b(g) = -6*g**2 + 6*g - 3. Suppose 0 = 3*w + 15, -53 = 5*p + 4*w - 13. What is p*f(t) - 9*b(t)?\nAnswer: 2*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/108514 and 33?\nAnswer: 108514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2653, -0.15, -75 in increasing order.\nAnswer: -75, -0.15, 2653","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 18644525509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 69.7 and -1?\nAnswer: -69.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -134, -275, -418, -563, -710, -859, -1010?\n\"Answer: -s**2 - 138*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g + 2*g**3 - 6*g - 27*g**3.\nAnswer: -25*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = -14*i + 36784. Suppose -4*m - 4*m + i = 0. Calculate the greatest common factor of 19 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -452, -1809, -4072, -7241, -11316, -16297?\n\"Answer: -453*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42421 - 1?\nAnswer: -42422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*o = 8, 3*o - 4 = -2*j + 12. Let y = 38 - j. Suppose 4*x + 4 = y. Calculate the greatest common divisor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3 - d**2 + 15*d + 1 to the form v + h*d**2 + i*d and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*y + 186 = y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 2*q + 6, -3*g = 5*q + 13. Suppose -a - 5*s + 18 + 14 = 0, 0 = 2*a + g*s - 64. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y - 18. Suppose 4*n + n - 80 = 0. What is the tens digit of s(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * 1.9\nAnswer: 0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(187) + (4*sqrt(187) - sqrt(187))))\/(sqrt(77)\/(sqrt(7)*1)).\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 134948.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-42)\/(-84)*((406990 + -1)\/3 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12933786 by 1.\nAnswer: -12933786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 492*w = -588*w + 689*w - 20723 for w.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386 + 258 = -75*y + 52*y for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-43)*((-16)\/(-96))\/(7\/14).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * 1701674.\nAnswer: -28928458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 - 36526*a - 36524. What is k(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1282710 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215791, 215794, 215797?\nAnswer: 215800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c - 14. Let q(j) = -3*j - 13. Determine -5*q(p) + 4*z(p).\nAnswer: -p + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4151822 is divided by 4811?\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w*w*w*w**0))**(1\/4))**(-50))**(-4\/9) assuming w is positive.\nAnswer: w**(-50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2063?\nAnswer: 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 4) + -5 - (0 + -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 360\/2101 + 2\/191. What is the closest to 0 in y, 0.5, -12?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 32 = -12*q. Let f(x) be the first derivative of -3 + 14\/3*x**3 - 3\/2*x**4 - q*x + 0*x**2. Suppose f(o) = 0. What is o?\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*x - 45*x - 54 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 131592480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*w + 11. Let g = w + -12. Is -4 + 3 + 1*g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*a = -112 + 18. What is the closest to -1\/4 in 3.4, -7, 2\/19, a?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - w = 12, -9*r + 10*r = -5*w + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8463885491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3109617336\/282)\/(34\/(-3)). Let j = a + 972972. Let l = 9\/47 - j. Does l = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.5625 and 0.733.\nAnswer: -7.0093125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161930934?\nAnswer: 2, 3, 11, 131, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3 = d - 5, -4*u - 4 = -2*d. Suppose -d*w = 2*w - 172. Calculate the remainder when w is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4521 and 264?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**4\/12 - q**3\/2 + 147*q**2. Let u(x) be the first derivative of 1 - 3*x - 2*x + 3*x - x**2. Give 3*c(l) - 4*u(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3 (b) -2\/63 (c) 0.5 (d) -0.8085\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -19*z + 13. Let w be 4\/(11 + -3)*(1 - 1). Suppose -12 = -4*v, -5*d + w*v - 2*v - 14 = 0. Is p(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((105\/75)\/(6\/(-10))).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)*d**(3\/2))\/(d**(3\/4)\/d**(2\/7))*(d\/(d**(-1\/5)\/d)*d*d*d*d*((d**(-1\/11)\/d)\/d)\/d*d)\/((d\/d**(1\/2))\/(d*d*d**(-1)*d)) assuming d is positive.\nAnswer: d**(7153\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 251867.9 minutes?\nAnswer: 15112074000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 24, -1, 6 in increasing order.\nAnswer: -2, -1, 5, 6, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 550724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -83.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 15 = 8*h. Suppose 7 - 17 = -h*f. Solve 4*o + f*x - 2 = 0, -o - x + 1 = -6*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16057178?\nAnswer: 2, 1051, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 + 0*w**2 - 3*w**2)*(10*w + 22 - 22) + w**3 + 2 - 2 + 3*w**3 + 5*w**3 - 6*w**3 + (2*w**3 + w**3 - 4*w**3)*(-7 + 4 + 1) + 2*w**3 + w - w.\nAnswer: 17*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 3*s - s**2 + 4*s + 2 + 0*s. Let j be x(0). Solve -2*l - j*l + 12 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-6)\/5*(-4160)\/2808\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 9 = 3. Suppose -3*x + 0*x = u - 20, -r*x + 111 = 5*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 486 (base 13) to base 16.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 131260667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -4. Let x = -8 - t. Which is the third biggest value? (a) -4\/5 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.575 + -0.64. Let v = 0.0594 + y. What is v rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -19816.\nAnswer: -1\/19816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2*4\/2. Suppose 5*f = 7*f - 3*g - 19, 4*f - 13 = g. Let a = -6 - -11. Solve -f*v = a - y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 51 (b) 1 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/32 - (-3)\/12. Solve -3*v = s, -d + v - 2 = -6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 7 = 98. Let c(u) = -8*u**3 + u**2 + 2*u - 2. Let t be c(2). Let d = b - t. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 - -2.01. Let x = -881\/10 - -88. What is the second biggest value in 1, p, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003045679 to 6 decimal places.\nAnswer: 0.003046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**4 - 182095*c**3 - 15*c**2 + 546275*c + 364190 = 0 for c.\nAnswer: -1, 2, 36419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 26 + 28)*((-f + 4 - 4)*(f**2 + f**2 + 0*f**2) + 0*f**3 + 2*f**3 - 3*f**3 - 41*f**2 + 80*f**3 + 41*f**2).\nAnswer: 2772*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -245?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -344233 - -5?\nAnswer: -344225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s + 5356*s**2 - 3*s - 5708*s**2.\nAnswer: -352*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y - 3*y + 3*y)*((0 + 2 - 4)*(-13*y + 2*y - 23*y) + (0 - 1 + 0)*(2*y - 4*y + 0*y)) to the form q*y**2 + z + t*y and give q.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5*x + 50, -4*x + 34 = 4*h - 3*x. Let o be 8606\/8 + (-6)\/h. Let v = o + -570. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 279 - 278.9. Which is the closest to -4? (a) 0.4 (b) 7 (c) 2 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -26*w**2 - 176*w + 63. Calculate u(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 6:47 PM?\nAnswer: 282","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/((10 - 1) + -6). Let o = 0.07 - 3.07. Let f = 0 + o. Which is the second biggest value? (a) f (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10013 + 4?\nAnswer: -10004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 10 (b) 0.03 (c) 0.5 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**5 - 28*f**4 + 60*f**3 - 52*f**2 + 16*f = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21815 is divided by 7130?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 greater than 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**4\/12 - 2*h**3\/3 - 5*h**2 - 48*h + 61. Let g(a) be the first derivative of i(a). Give g(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/11, 5\/4, -46, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/2113821 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23312 - -13033?\nAnswer: -10224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2227982 is divided by 1113657?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*n - 2056 + 3421 + 1683 = -94*n for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (420\/(-1848))\/((-20)\/16).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365 = 190*u - 86*u - 51 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 11) in base 6?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 b when two letters picked without replacement from frbznrfzfzz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225, 220, 211, 198, 181?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1115 - 10a78?\nAnswer: -c963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 131411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/7 - 4029*f**2\/7 + 4064247*f\/7 - 12156507\/7.\nAnswer: (f - 2013)**2*(f - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -3427?\nAnswer: 13708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/6*(-22)\/(-11). Solve m = -l*v - 0*v - 13, -4*v = -m + 22 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.06 + -0.06. Let m = 0.290835 - 0.090835. What is the nearest to d in -0.5, 4, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -127*d**4\/4 + 14*d**3\/3 + d**2\/2 + 84. What is the third derivative of s(q) wrt q?\nAnswer: -762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2791609?\nAnswer: 103, 27103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 3, 7, -3, -189 in decreasing order.\nAnswer: 7, 3, -3, -33, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 282*c**4 + 131*c wrt c?\nAnswer: 3384*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 946.1*-0.8655\nAnswer: -818.84955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -263.183?\nAnswer: -1315.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n + 12 - 177 = 63 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1985.77 - -1970. Let d = x + 10.38. Let c = 0.49 + d. Round c to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -49 + 18 + -6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -231391*y**3 + 444102 with respect to y.\nAnswer: -694173*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -58813 divided by 9\nAnswer: -58813\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9332 + 9320. Let s(p) = -p**2 - 14*p + 10. What is s(x)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80\/9*b + 2\/9 - 82\/9*b**2 = 0 for b.\nAnswer: -1, 1\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 9*v - 392. Let z(t) = 9*t - 395. Let q(h) = 6*u(h) - 5*z(h). Let a be q(42). Is -6\/41 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g - 5*g + 23*g. Let f(v) be the second derivative of -5*v**3\/3 - 19428*v. Determine i(f(a)).\nAnswer: -230*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 3, -45.\nAnswer: -45, -15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -624, -625, -626, -627, -628?\n\"Answer: -x - 623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11284*h - 48 = 11292*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2826 + 1675. Let r(v) = v**3 + 41*v**2 + 212*v - 20. Let m be r(-33). Let p = m + d. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226377890.\nAnswer: 2, 5, 22637789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, h: 4, i: 2, u: 2, y: 4}. Give prob of sequence iu.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/sqrt(4) + -5 + 1 + (-2 + -1 + sqrt(19)*1)**2.\nAnswer: -5*sqrt(19) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 49*z - 880. Let k be r(18). Solve 0 = -4*g + f + 17, k*g - 15*f = -20*f + 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-3 + 1) - (-2 - -2). Solve -2*s + 2 = -b*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*w = -64*w + 10684 + 621 for w.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4200\/(-18000)*(-27)\/21\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -131 - 101 + 58 - 99 - 152*l. What are the prime factors of r(-10)?\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.5 - 1.5. Is r smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35*25\/(-525)*9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w - 6*w + w - 3. What is the remainder when (-6)\/27 - (-310)\/18 is divided by u(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7744644143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2\/6 + 73*z\/6 - 37\/3 = 0. Calculate z.\nAnswer: -74, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 813\/25 - 295583\/9150. Calculate the common denominator of b and -23\/6.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 k when three letters picked without replacement from kakaaaaakakkkaka.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1 (b) -0.1 (c) 27030\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -224423136 divided by 84816?\nAnswer: -2646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24716, 24719, 24722, 24725, 24728, 24731?\nAnswer: 24734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -19, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -271*t**3\/3 + 3072*t**2 + 197*t - 1. Differentiate s(v) wrt v.\nAnswer: -542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 4*k, v = -v + 4*k - 8. Let o = 2 + v. Let f = 60 - 60.4. What is the nearest to o in -0.1, f, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4)*(-1)\/2*(182 + 374). Put 2, 0, -5, -1, s in ascending order.\nAnswer: s, -5, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 333 + -652?\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 486576392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 130657?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*k + k - 3580, -k = 4*b - 7160. Round b to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -30. Suppose t*x - 13998 = 12*x. Suppose 0 = 11*v - x + 464. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102301 + -103?\nAnswer: 102143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t = -46. Let q(y) = 2*y**2 - 3278*y + 5. Let x be q(0). Solve 5*i + x*m - 31 = m, -5*i = 2*m - t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 69*z - 14182. Calculate b(211).\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1355 - 1471. Which is smaller: 4\/7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 5:29 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 18*l - 18*l.\nAnswer: -37*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 16*p**3 + 16*p**2 - 2*p - 81. Let m(v) = -89*v**3 - 80*v**2 + 11*v + 407. Give -2*m(h) - 11*n(h).\nAnswer: 2*h**3 - 16*h**2 + 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 11 = -5*o + 3*b, 6 = 2*o - 2*b. What is the remainder when 20 is divided by (-2 - 10\/2)*o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 + 24 = 4*k. Suppose 0*h = 6*h - 354. What is the remainder when h is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (-5 - 14) + 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002998 rounded to 4 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 8*r**2 + 10*r + 22. Let q be j(-7). Solve 9 - q = 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmv when three letters picked without replacement from {e: 1, k: 7, m: 5, v: 2, l: 4, z: 1}?\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-39))\/((-850)\/650)*20\/(-220).\nAnswer: -2\/187","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-1)\/8)\/(-94*(-61)\/206424).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*h**3*q**2 + 41*h**3 + q**3 wrt q?\nAnswer: 10*h**3*q + 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**4*s + 3*f**4 + 3*f**2*s**2 + 3*f*s**2 - 20*s**2 wrt f?\nAnswer: -12*f**2*s + 36*f**2 + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06165213 rounded to three dps?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.142*16\nAnswer: -2.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1356131841?\nAnswer: 3, 452043947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 51 divided by 51\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12685 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8463239?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 + 4*g**2 - 52*g - 199. Calculate a(-5).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1000000000100101010010 (base 2) to base 10\nAnswer: -2099538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 16*z**2 + 15*z - 67. Determine v(-17).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -728977, -728979, -728981?\n\"Answer: -2*a - 728975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 693317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - -6) + -3 + 4\/(-4). Solve -b*q + 3*r = -0*q + 15, -3*r = 4*q + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.5 * 0.232\nAnswer: -0.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -15*d**3 + 26*d**2 - 27*d + 26. Let h(o) = 8*o**3 - 13*o**2 + 14*o - 13. Let u(q) = 11*h(q) + 6*l(q). Let m be u(6). Solve -y - m + 4 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-7))\/(8\/56). What are the prime factors of (-16 + 268)*(0 - x*1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5 = -3*g. Suppose -12 + 0 = -4*j. Suppose -2*a + g = -j. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 4\/11 (b) 406913 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4060.\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 534 = -1858. Suppose -m - 79 = -6*o. What is the smallest common multiple of 9 and o?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (1 + 8 + (-3 - -1))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2. Let s(v) = -15*v. What is s(q(u))?\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) -3.1 (c) -0.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5913*f**2 - 141*f**3 - 2613*f**2 - 3300*f**2.\nAnswer: -141*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -1101212?\nAnswer: -1102000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 210\/(-9))*3. Suppose -494 - 416 = 14*u. Let j = u - z. Which is the third biggest value? (a) j (b) -4 (c) -1\/4 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 - 7*k + 2. Let u(m) = 6*m**2 - 8*m + 3. Let o(i) = 7*i**2 - 8*i + 3. Let w(f) = 3*o(f) - 4*u(f). Let g(y) = 3*w(y) + 4*z(y). Give g(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.7 + -3.7. What is the third smallest value in t, 5, -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -370 - -264. Let k = z + 425\/4. What is the second smallest value in k, 159, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68353398 to the nearest integer?\nAnswer: 8268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019820287 plus -8203?\nAnswer: -8203.019820287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -768*z - 40 = -764*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12302301 (base 4) to base 13\nAnswer: c885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.083 in -3\/5, -0.27, -27?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)\/x)**46*x\/(x*(x\/(x*(((x*x**(8\/3))\/x)\/x)\/x*x))\/x)*x**(-2\/7)*x assuming x is positive.\nAnswer: x**(-2827\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -1656, -52328 in increasing order.\nAnswer: -52328, -1656, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24461 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -21, -2\/17, 2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.026142 (c) -2\/3 (d) 1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.08 + -0.08. Let k = t - 9.01. Let h = -0.01 - k. Which is smaller: -15 or h?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 34 + 0 = 3*q, -4*q + 5*o - 44 = 0. Let r(u) = -u**3 - 5*u**2 + 3*u + 4. Is r(q) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7)\/((i**(-10)\/i)\/i))**(4\/7)\/((i**(-2\/5))**(8\/7)\/(i\/i**(-2\/9))**(-11)) assuming i is positive.\nAnswer: i**(-3191\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-37 - (84 + -80 + (-15 - -2))) + 12\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 89264219.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 21*v**3 - 2*v**2 + 2*v + 3. Let f be t(-1). Let y = f + 22. Is y greater than or equal to 4\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40*a**3 + 40*a**3 + 20*a**4 + (1 - 1 - 2*a**2)*(-3 + 3 + a**2).\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + (-4 - -2))*14\/(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 2*j + 11, -3*j + 7*j = 3*v - 13. Let i(x) be the second derivative of 12*x - 1\/2*x**3 - 1\/2*x**2 + 0. Give i(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 minus 0.0784?\nAnswer: -0.0484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**2 - 2*z. Let a(s) = -23*s**2 - 93*s - 11. Let r(k) = -8*k**2 - 34*k - 4. Let w(v) = 4*a(v) - 11*r(v). Calculate -3*g(x) - 4*w(x).\nAnswer: 4*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1053 times 25\nAnswer: 26325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 683 = 4*r, -3*r - 4*q + 386 + 134 = 0. Suppose -r*x = -176*x + 44. What is the remainder when 42 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/17))\/(r\/(r*r*r\/r**(1\/6)*r*r)))**(-2\/7)*((r*r\/(r**(-2\/15)\/r*r*r))\/r*r\/r**(1\/4))\/(r**(2\/3)*r**(-2\/29)) assuming r is positive.\nAnswer: r**(-77919\/69020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 0. Let c be (z + -2)*2\/4. What is the units digit of -1*(0 + -1)\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-5*x**5 + 2*x**5 + x**5) + x - x - x**5 + 2*x**5 - 6*x**5 + 3*x**5 + 2*x**2 + x**5 - 2*x**2.\nAnswer: -5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1165472 and -0.1?\nAnswer: 116547.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.69749831 to 3 decimal places.\nAnswer: -1.697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 divided by 4?\nAnswer: 211\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 735, 1533, 2405, 3369, 4443?\n\"Answer: 3*w**3 + 19*w**2 + 720*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63848*s + 63992*s - 9792 = 0 for s.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/23)*(a\/a**(-2\/7))\/a*(a\/a**(2\/7))\/a*a**(-9) assuming a is positive.\nAnswer: a**(-205\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/3*(-9)\/6. Let a = 1 + k. Suppose -g - 4*g = a. Solve g = -5*o - 5, 4*j + 2*o = 5*o + 23 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((3 - 1) + (-5 - -6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 28*l**2 + 59*l - 20. Let i be p(-30). Solve 0 = -3*j + i - 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2)\/z*z**(-6\/23)*z)\/(z**(-4\/9))**(2\/7))**(1\/11) assuming z is positive.\nAnswer: z**(-1643\/15939)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 11, 4, -9 in decreasing order.\nAnswer: 12, 11, 4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 11*p**2 - 4*p + 38. Determine x(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9108, 9124, 9140, 9156, 9172, 9188?\n\"Answer: 16*j + 9092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51453217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 145 + 275. What is the highest common divisor of p and 910?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a tonne in kilograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 215?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2 - 4*g - 10. Let l be y(3). Let t(n) = -29*n**2 + 1. Let b be t(2). What is the tens digit of (0 + b\/l)\/((-2)\/14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 6 - 3\/5*d**2 - 3\/5*d**4 + 0*d + 0*d**5 + 1\/15*d**6 + 16\/15*d**3. Let l(p) = 0. Calculate p.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*6*(sqrt(19) + (sqrt(76)\/sqrt(4))**2) + -3)*-4.\nAnswer: 48*sqrt(19) + 924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28865c (base 15) in base 6?\nAnswer: 105501523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/sqrt(27) - (-1*sqrt(297))\/sqrt(9))\/(((sqrt(275)*1 + sqrt(275))\/sqrt(5))\/sqrt(5)).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*j*q**3 - 9*j*q**2 + 2*j*q + 583*j wrt q.\nAnswer: 12*j*q**2 - 18*j*q + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 1 - 2*t - 1. Let y(n) = 0 + 0 - 5 - 10*n + 0 + 2*n**2. Let w(s) = 3*s**2 - 8*s - 4. Let g(z) = 5*w(z) - 4*y(z). Determine l(g(k)).\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 10740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1474449 divided by -491483.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57)\/(-2)*(-440)\/660?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (9*(-13)\/(-780))\/(12\/90*3)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/221 or 10?\nAnswer: -4\/221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 31 - 4?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -3*k**5\/70 - 43*k**4\/28 - 30*k**3\/7 + 3129*k. Factor z(g).\nAnswer: -3*g*(g + 20)*(2*g + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*w**3*x + 260*a**2*w**2 - a**2*x**2 - 2*a*w**3 - 2*a*w*x - 2*a*x + 2*w**3*x**2 - 128*w*x**2 wrt a.\nAnswer: -4*w**3*x + 520*w**2 - 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -492 (base 16) in base 9?\nAnswer: -1540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278091 is divided by 12627?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4244 or -209\/6?\nAnswer: -209\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6351 - -10620. What are the prime factors of m?\nAnswer: 3, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32898 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/4691880 and -8\/91231?\nAnswer: 32843160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-1\/6)*j*j*j**(-4) assuming j is positive.\nAnswer: j**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1470) + sqrt(1470)*1*-1 - sqrt(1470))\/((sqrt(24)*-1 - sqrt(24))*5)*-4)**2.\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opxpyoppoxjxpxa. Give prob of picking 1 o and 1 x.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34044 and 492?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 3*m - 43 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-6) - 470\/(-15) is divided by (-33)\/(-3) - 0\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(147))\/(sqrt(99)\/sqrt(225)).\nAnswer: 5*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126792037?\nAnswer: 263, 482099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1364949, 2729757, 4094565, 5459373?\nAnswer: 6824181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.4 + 9.4. Which is the third smallest value? (a) -1\/5 (b) w (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/463530 and 99\/56.\nAnswer: 12978840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 1\/4, 11, -1655, 0.5, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 54724967*l - 1022963?\nAnswer: 54724967","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4744*q**3 + 10*q**2 + 10*q - 5. Let y(n) = -16605*n**3 + 36*n**2 + 36*n - 18. What is 18*d(r) - 5*y(r)?\nAnswer: -2367*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3494, -13978, -31458, -55940, -87430, -125934?\n\"Answer: -o**3 - 3492*o**2 - o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (18 - (6 + 9))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1179 + 9465\/8. Let u be (-185)\/(-195) - 2\/6. Let a = 1733\/78 + u. Find the common denominator of v and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 39. Let r be -3 + ((-15)\/(-9) - 0). Which is the closest to 0? (a) k (b) r (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/5484 and -7\/2.\nAnswer: 5484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*j + 13 = 2, 0 = -2*z + 4*j + 18. Let d be ((-24)\/20 - z)*10\/2. Which is smaller: 12\/53 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 6:51 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74*d**2 + 3*d**2 + 6 - 17 - 4*d - 146*d**2 wrt d?\nAnswer: -434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.4, 15.36, 3\/2 in decreasing order.\nAnswer: 15.36, 3\/2, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/26 + 4 + (-33)\/(-195))*(-2160)\/324\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -179 + 258. Let g be (168\/(-72))\/((-1)\/3). Let s = g + 34. What is the remainder when h is divided by s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) + 5 + -1 + sqrt(68) - (sqrt(68) + (sqrt(68) + -2)*5)) + -5)*6*-4 + 2)**2.\nAnswer: -82176*sqrt(17) + 672484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 41*p + 6*p**3 + 40*p**2 - p**3 - 85*p + 5. Let r(j) = -j**3 - 10*j**2 + 11*j - 1. Let i(b) = 2*m(b) + 9*r(b). Determine i(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, y: 4}. What is prob of sequence yy?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 - 2. Let w(x) = -10*x**2 + 7. Let z(g) = 7*u(g) + 2*w(g). Let f(r) be the third derivative of -r**4\/24 - 2*r**2. What is f(z(h))?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.2 - 4.35. Put 2, 0.5, i in descending order.\nAnswer: 2, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6819\/17 + 401. What is the nearest to 0 in -0.3, x, -1, -6\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 + 20*r**3 - 205*r**2 + 180*r.\nAnswer: 5*r*(r - 4)*(r - 1)*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 11?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14899*x + 139850 + 664696 for x.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35412, 74383, 113354, 152325?\nAnswer: 191296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 437168?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 222128, 888457, 1999006, 3553775, 5552764?\n\"Answer: 222110*b**2 - b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**11*(c**(-1\/6)\/c)\/c assuming c is positive.\nAnswer: c**(-73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 38\/7 of a week?\nAnswer: 912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/4 - (0 - 2). Let g = j + 8. Solve 0*w + 5*w - g*r = -35, 5*w = r - 15 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.926602 rounded to 3 decimal places?\nAnswer: 42.927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325)*-5 + 4)*-4)**2.\nAnswer: -3200*sqrt(13) + 130256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 770834.2 - 0.3?\nAnswer: 770833.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 61*u**2 + 120*u + 135. Calculate the remainder when 852 is divided by q(-59).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 + 93. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -2\/3*d**3 - 1\/4*d**4 + 2\/5*d**5 + 0*d + 1\/2*d**2 - 3. Factor b(f).\nAnswer: f*(f - 1)*(f + 1)*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 3, z: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (401 - 217*l - 401)*(3*l - 3*l - 2*l**2)*(2 - 4 - 3) to x*l**2 + s*l + o*l**3 + k and give o.\nAnswer: -2170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -20. Let u = -29 + c. Let m = 151\/272 + -7\/16. What is the closest to -0.1 in 0.4, m, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 461 divided by -874984?\nAnswer: -461\/874984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -301477773*v**2 - 289354147?\nAnswer: -602955546*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 12:56 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m - 20. Let g be q(25). Suppose -x + 8*x = g. Solve -5*t + 3*y = x, 0*y + 5 = 5*t + y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 70, 56, 36, 10, -22?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53998 and 139153?\nAnswer: 1073426242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4525489.7 rounded to the nearest 10000?\nAnswer: -4530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -389, -1204, -2423, -4046, -6073?\n\"Answer: -202*u**2 - 209*u + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -356*x**3 + 3878*x**2 + 418*x - 1. Determine h(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1907 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + -6*2*(sqrt(3564)*-3 - sqrt(44))\/sqrt(4))*-1.\nAnswer: 2 + 336*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 113727431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31 or -32?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 174*v - 793*v + 9904 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuddxkkjxxxkdex. What is prob of sequence eud?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -389999*x**6 + x**2 + 17211 wrt x.\nAnswer: -46799880*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o + 59. Suppose 0 = 756*x - 751*x - 105. Let v be n(x). Solve -4*u = -3*k - 0*u - v, 3*k + 3*u = 18 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/860 and -101\/34.\nAnswer: 14620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 94015621?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 8 - 8)*(j - j - j)*(-1 + 1 - j**3).\nAnswer: -j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -20981070 rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70115.\nAnswer: 5, 37, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/14)\/(954\/(-371)). Let y = -0.03 + -0.57. Let h = -25 - -25. Which is the nearest to h? (a) y (b) -2\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -134 by -67.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcp when three letters picked without replacement from pnqncqn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 350 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11060*f + 10901*f - 10754 + 10754.\nAnswer: -159*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 6*a = 110. Let o be -3 - (-26 - 4)\/3. Suppose 0 = 4*h - l - 12 - 33, 4*l = -h + o. What is the greatest common divisor of h and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f + 5*f + 20*f to the form q*f + p and give q.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/414 - 24\/(-253).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 1755 = -55*u. Let z = 91 - u. What is the remainder when z is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 32 = -5*r + 222, -205 = -5*r - d. Suppose 2*w - 5 = 37. What is the greatest common factor of r and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**14\/c**17*(c*c**0\/c)**(-46) assuming c is positive.\nAnswer: c**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (-35 - (41 + -58))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2104 - 2052. What is the highest common factor of 923 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23804 or 23807?\nAnswer: 23804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 243029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -220 by 6.\nAnswer: -110\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l = -10*l - 4. Suppose 5*v - 21 = q, 3*q - 4*q = -v + l. Suppose -6*a = -q*a - 16. Calculate the lowest common multiple of a and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 189 and 483.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 7328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*f + 44 = 2*l, -27 = -4*l - f. Let n be 39\/15 + l\/20. Suppose -19 = -k + n. Does 22 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -1, 22.1946 in decreasing order.\nAnswer: 22.1946, -1\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from {u: 6, b: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyxyxxxhxhyxhhxhyhy. Give prob of picking 1 x and 1 y.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 8. Let j be p(-8). Suppose j = -2*c + 6*c + 5*q - 41, c - q - 8 = 0. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**2 + 13391848*n - 13391844 = 0.\nAnswer: 1, 3347961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1009 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d**3 + d**2 - d. Let y be i(-2). Let m be 20*((-15)\/20 - (-39)\/12). Suppose -y*u + m = -44*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4954 from -178.73.\nAnswer: -5132.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3815 is divided by 576?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12298, -49184, -110660, -196726?\n\"Answer: -12295*a**2 - a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10564 divide 1588667140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/405 and -17\/93285.\nAnswer: 279855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 q when two letters picked without replacement from ddqqqqdqqqqqqqqqqqqq?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8186.85161 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 340 + 6d?\nAnswer: 3ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 smaller than 132965371\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -3 + -5 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (13 - 8 - -24).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -33. Let x = -53 + 56. Suppose v + 419 = 5*s, 2*s - 103 - 62 = x*v. Calculate the greatest common factor of p and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 - 2*i**3 + i**2 + i**4 + 4*i + i**4 in the form r*i**4 + l*i**2 + h*i**3 + m*i + p and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - -14) + -3 + 383. Suppose -3*i = -2*u + m, 2*i = -4*u + 1326 - 538. Is 28 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 476251?\nAnswer: -476252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 47. What is the remainder when r is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2557071105 to the nearest one hundred thousand.\nAnswer: -2557100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by 559600?\nAnswer: 9\/111920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i**3 - 3*i**3 + 5*i**3)*(0 + 3 - 6) + (-2*i + 3*i - 3*i)*(-24 - 8*i**2 + 24) as k*i**3 + x*i**2 + j*i + p and give k.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 157 and 6.\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*8\/216*3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -454399290.3317 - 2.\nAnswer: -454399292.3317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*j**3*m*w**2 - 6*j**3 - 368*j*m*w**2 + 17*j*m + 2*m*w - 3*m wrt w?\nAnswer: 6*j**3*m*w - 736*j*m*w + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (-5 - -14)) + (-7 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 13. Solve d*w - 2*w - 12 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/7)*y*y\/y**(-5\/6))\/(y**(-2))**(-3\/5) assuming y is positive.\nAnswer: y**(313\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410239531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*x**3 - 1)*(7*x + x - 21*x) - 695*x**4 - 505*x**3 + 505*x**3.\nAnswer: -669*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, z: 1, t: 7}. What is prob of picking 1 e and 1 z?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1093395\/70)\/(7 + -10). Let t = z - -5209. Calculate the common denominator of -41\/27 and t.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**4\/r))\/r**(2\/11))**(-15\/7)*((r*r**(1\/4))**46)**(-1\/70) assuming r is positive.\nAnswer: r**(1187\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 14 + -38 + 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 12:36 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 3*m**2 + 3*m - 2. What is c(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.21178ng in milligrams?\nAnswer: 0.00003721178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 2:07 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53241.\nAnswer: 3, 17747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 609 + -608.99999702. What is j rounded to seven decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 42*r**2 + 260*r + 78. Calculate the remainder when m(-34) is divided by 123.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -132 - -2?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05302 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/15 - 92*c**2\/15 - 448*c\/5 - 2112\/5.\nAnswer: -2*(c + 12)**2*(c + 22)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.55 - 0.55. Let f = x - 16.00000044. Round f to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33.6 and 2.\nAnswer: 67.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*d - 68 = 45*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 11.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -758, -406, -54, 298, 650, 1002?\nAnswer: 1354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -166.892 - 0.059429?\nAnswer: -166.951429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 492887244 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21*g*x - 5*g - 1289*x + 1 wrt g?\nAnswer: -21*x - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1. Let n(q) = 2*q - 9. Let c(h) = -n(h) - 6*z(h). Let u(w) be the third derivative of -w**4\/8 + 5*w**3\/6 + 13*w**2. Calculate 8*c(t) - 5*u(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/m**(1\/13))\/m**(-2)*m**3\/m**(1\/7))**(-1\/17))**(5\/13) assuming m is positive.\nAnswer: m**(-3085\/20111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + 3*j - j**2 + j**2 - 2*j**2 + 0*j**2 + (-4 + 4 - 2*j)*(2*j + 0*j + 0*j).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(-2\/33)\/((j*j*(j**(2\/3)*j)\/j*j*j)\/j**(-2\/11))*(j*j**(2\/5)*j)\/(j\/(j**1\/j)*j)*(j\/j**0)**17 assuming j is positive.\nAnswer: j**(2081\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -5 - (2 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 965895391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 10:09 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/160*-4*-7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -6*c + 2*m - 4, 0 = 3*c - 4*m + 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2\/((-6)\/27 + 10\/18) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -822 - -3756. List the prime factors of c.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 43. Suppose -92 = -5*l - t. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17238 - 17235. Solve u*f - 4*g = 5 + 6, 0 = f + g + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188 (base 12) to base 6.\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-357)\/34)\/((2\/(-32)*-12)\/(1\/(-2)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -d - 4*d. Suppose -45 = -5*y + o, -4*o = -d*y - 2*o + 34. Calculate the highest common divisor of 88 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 3*j + 5. Suppose -4*u = 3*l + 26, 0*l + 18 = -2*l - 3*u. Let s = 5 + l. Let w be (-5)\/((s - 0)*1). Give k(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqqavavvqavqavv. What is prob of picking 2 v and 2 a?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 4)*(-3*b**2 - 2*b**3 + 3*b**2) + 3*b - 3*b + 2*b**3 as p*b + h + t*b**2 + w*b**3 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1207927528.\nAnswer: 2, 487, 310043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 656, -1, 2\/257, -3 in increasing order.\nAnswer: -3, -1, 2\/257, 656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 624, 1662, 3390, 5808, 8916, 12714, 17202?\nAnswer: 22380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 7*r - 5. Let p be f(6). Let w = 0 + p. Let y be -2 + 9\/6 + w. Which is the third biggest value? (a) -0.2 (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddvv when four letters picked without replacement from vvdvvvvvvdv.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 27 + 5 = 0. Let q be i\/6*(-6)\/4. Let j = 10 + -6. Solve -q*w - 2*s = -j, w - 4*w = -3*s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37819, 37818, 37817, 37816, 37815?\nAnswer: 37814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.3 * 0.2.\nAnswer: -0.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7190 = -s + 3*s - 4*z, 4*s = 3*z + 14360. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(-3)*(-18)\/(-1440)*16. Put 5954, -3, y in increasing order.\nAnswer: -3, y, 5954","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(500) + sqrt(500) + -1 + sqrt(500))**2.\nAnswer: -60*sqrt(5) + 4506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*m**3 - 95*m**3 + 372*m**3 - 81*m**3 - 79*m**3.\nAnswer: 18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1106520 divided by 60\nAnswer: 18442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 3*b + 4*a + 3 - 8, 3*a = 19*a - 16 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2. Let t(s) = 6 - s**2 - 32*s**2 - 8. Give t(b(a)).\nAnswer: -132*a**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + ((sqrt(6) + sqrt(486))\/sqrt(2))**2 + sqrt(3) + (2 + sqrt(3) + (sqrt(15)\/sqrt(5) - sqrt(3)) + sqrt(3)*4 + sqrt(3) + -2)**2)*-2.\nAnswer: -816 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5)*u*u**5*(u*(u\/(u*u*u**(-2\/5)))\/u)**(-2)*u**(-2\/7)\/(u**1\/u)*(u**(5\/2)\/u)\/((u**6\/u)\/u) assuming u is positive.\nAnswer: u**(-41\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (2 - (0 + 2)) + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6 + 58\/51. Let m = -541\/391 + x. Let v(p) = -65*p - 66. Let i be v(-1). Which is smaller: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 5*n - 1. Let z be c(-4). Suppose z*p + p - 5 = -3*v, 0 = -4*v - 4*p. Suppose 8 = 5*g - 3*g - q, 3*g - 3*q - 15 = 0. Sort g, v, 2, -1.\nAnswer: v, -1, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7483?\nAnswer: 7, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8ba (base 12) to base 10\nAnswer: 1294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 + 2*t**2 - 2*t. Let o(s) = -5*s + 2*s**2 + 3*s**2 + 5 - 5 + 3*s**3. What is -2*o(a) + 5*x(a)?\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*z + 7 = 0, 2*z - 3*z + 11 = 3*j. Which is smaller: 6 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73*o*z**4 - 81*o*z**3 + 19*o*z**2 - 49*z**4 - z**3 + 75244*z + 1 wrt z.\nAnswer: -1752*o*z - 486*o - 1176*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1317504249.\nAnswer: 3, 29, 167, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsgggcgggcssgcsg. What is prob of picking 2 c?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + -151513?\nAnswer: -151525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 242.43 - 241.0819. Let q = i + -0.1911. Let z = 54.143 + q. Round z to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.112 and 4.\nAnswer: 0.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 36.9*-0.5\nAnswer: -18.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 + 63. Is o greater than -47\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/(-3) + (-14)\/(-21). Solve -5*q + 3*q - g = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 11*b + 4. Let v be l(-13). Suppose -v = -9*k + 3*k. Suppose -x = k*u - 266, 2*u = 6*u + 5*x - 196. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u**2 + 2*u**2 - 8*u**2. Let d(i) = -2*i**2. Calculate -14*c(p) + 6*d(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 13 - 3 + 27 + 0*b**2 + 4*b + 1 - b**3. Let y = -9 + 4. Does 14 divide m(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**3 - 13*v**2 - 6*v - 182. Is d(-25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 1 - 56\/(-2). Let t = 38 - a. List the prime factors of 142*1*t\/22.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 + ccb15?\nAnswer: ccb27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12101 (base 4) to base 13\nAnswer: 24b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 5, 0 = -3*z + 5*g - 25 - 16. Let w be (-6)\/36 - 2\/z. Which is the biggest value? (a) -1 (b) 1\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4104 by -2.\nAnswer: 2052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*(0 + sqrt(847)) - (sqrt(126)\/sqrt(2)*1*3)**2.\nAnswer: -567 - 88*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000030602608 to 7 dps.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -230 greater than or equal to -2400598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - 1526a8?\nAnswer: -15269d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 392813 to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -0.3. Let u = -22 + 11. Let a = -13 - u. What is the closest to a in -0.2, n, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.5 (b) 2\/9 (c) 0.33 (d) -0.7 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -148416*l**5 - 1150236*l**4 - 2523165*l**3 - 1076220*l**2 + 445161*l + 36 = 0.\nAnswer: -4, -3, -1, -1\/12368, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -199, -245, -277, -289, -275, -229, -145?\n\"Answer: r**3 + r**2 - 56*r - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 5*n + 30. Calculate the highest common factor of n and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 2*v - v)*(3*v**3 - v**3 - v**3 + (0*v + 0*v - v**3)*(1 - 5 + 3) - 3*v**2 + v**3 + 3*v**2).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11320*m + 445394 + 75326 = 0 for m.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 656583 (base 14) to base 5\nAnswer: 1334432313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 + 2*f**2 + f**2)*(-252 + 252 + 20*f**2) + 0*f**2 + 12*f**4 + 0*f**2.\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -16714076 divided by -1\nAnswer: 16714076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1502 = 2*r + 2*d, -4*r - 2*d - 360 - 2636 = 0. Let l = 1123 + r. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1257589418?\nAnswer: 2, 103, 277, 22039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 28 = -4*w - 7, -w + 2*n + 6 = 0. Which is bigger: w or 2\/861?\nAnswer: 2\/861","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -4*n. Let v be (-8)\/6*3\/(-2). Is (148\/4)\/(v - n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2624139719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -10. Let y = 9 - x. What are the prime factors of (-3 - y)\/((-3)\/15)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 250364 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 + 0.08. Let q = -8 - -5. Which is the nearest to -1? (a) w (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3910 - -23369\/6. Let p = -5612\/11 - -511. Find the common denominator of x and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 3. Let w(g) = -g - 1. Let b be w(y). Let d(u) be the first derivative of -u**2 - 4*u - 1. Give d(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13487 - 0.2.\nAnswer: 13486.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/6 + (-5)\/10. Suppose u - 3*w + 5 = k, -6 = 2*u + 2*u + 2*w. Let n(s) = -3*s**3 - s**2 - 3*s - 1. Calculate the remainder when n(u) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77078.58 milligrams in grams?\nAnswer: 77.07858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-235)\/((-5 - -9)*(-2)\/(-56)). Which is smaller: a or -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -8. Suppose 23 = i*t - 4*j - 90, 88 = 4*t - 2*j. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 30 = -4*t. Suppose t*v = 3*q + 3*v - 84, 0 = -2*q + 3*v + 56. Calculate the remainder when q is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67022?\nAnswer: 2, 23, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1098.0893762 to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111100101101100110 + 1011001?\nAnswer: 100111100101110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69533, 69534, 69535?\nAnswer: 69536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28864.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6300*t**2 + 4483*t**2 - 9948*t**2 + 735*t**2 - 3912*t**2.\nAnswer: -14942*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - i - 2 = 20, z - i = 7. Sort z, -2\/11, -4.\nAnswer: -4, -2\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 7 = -3. Suppose -2*c = 3*c + 25. Sort y, 3, c in increasing order.\nAnswer: c, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1209 + 0.8791. Which is smaller: -3.64 or t?\nAnswer: -3.64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1002247 or 4008987\/4?\nAnswer: 1002247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -320*2.\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13302\/65 + -4652\/13. Let w = -251 - -410. Let z = w + t. Calculate the common denominator of z and 63\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 659, 661, 657, 641, 607, 549?\n\"Answer: -v**3 + 3*v**2 + 657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1208 less than -1208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 7 = -6*f + x, -5*f - x = 21. Let p be (-13)\/f - 5\/20. Solve -2 = -h - p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0*1\/(-5))\/1. Suppose v = -s + 14*s - 7267. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 2840*t - 13 + 5*t**3 - 3*t**3 + 2 + 29 - t**2 to v*t**3 + h + m*t + r*t**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y - 6. Let k(a) = -4*a + 6. Let m(n) = 2*k(n) + 3*o(n). Let d be m(2). Sort 3, -2, d in descending order.\nAnswer: 3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -465, -434, -373, -276, -137, 50?\n\"Answer: x**3 + 9*x**2 - 3*x - 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgbwggwgbmw. Give prob of picking 3 g and 1 w.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30170638?\nAnswer: 2, 15085319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.12584 nanometers to millimeters.\nAnswer: 0.00007412584","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 77, 382, 1207, 2810, 5449?\n\"Answer: 43*k**3 + 2*k**2 - 2*k + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6582\/65 - 474\/5. Let u = -853\/130 + f. What is the closest to -1 in 5, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5785021745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.6 (b) 3 (c) 0.03 (d) 2066\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4158.4 rounded to the nearest 10?\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k - 2. Let x(r) = -3*r - 3. Let f(q) = -q**3 - 6*q**2 - 9*q - 2. Let g be f(-4). Determine g*x(n) - 3*s(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1136 or 1137?\nAnswer: 1137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-4)\/(-8)*-1*31\/744*40?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 6. Let u(q) = -2. Let g(m) be the second derivative of 2*m**4\/3 - m**3\/3 + m**2\/2 - 10*m. Let z be g(1). What is z*u(k) - 2*v(k)?\nAnswer: 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28452570383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -36696 divided by -3336\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3300 and 810?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + 2 - 2 + (-11 + 6 - 16)*(4*u + 1 - 1).\nAnswer: -86*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.518 + 3459.\nAnswer: 3458.482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1707 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 566*w - 16096 - 52765 = 4163*w + 118183 for w.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 380, 611, 844, 1079, 1316?\nAnswer: 1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -1. Suppose x*f = 2*t + 8, 0 = -t - 7*f + 2*f + 17. What is the third derivative of i**4 + i**4 - 4*i**4 - t*i**2 wrt i?\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (0 + -2 + 1 - (1 + -5)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 9. Let b be (-3)\/(-6) + k\/3. What is the smallest value in b, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -565 + 443?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7733 + 0.2267. Sort -37, -0.4, a, 2.\nAnswer: -37, -0.4, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 5:51 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 46 - 9 = 0. What is the highest common divisor of 55 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 1841\nAnswer: -736.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 492, 3885, 13100, 31047, 60636, 104777, 166380?\nAnswer: 248355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 10*n**2 - n - 14. Let b be g(-10). Suppose u = 2*w + 2*u - 20, 3*u = 5*w - 50. Calculate the smallest common multiple of b*(-4)\/16 + 9 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 2*m - 37 = -f, 1494*f - 71 = 1405*f - m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -8 + (10 - 26)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14397, -28796, -43199, -57606, -72017?\n\"Answer: -2*k**2 - 14393*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*p = -4*p - 648. Solve 0*f - 5*t - 9 = -3*f, 3*f = -2*t - p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 70*f**3 + 17*f**2 - 88*f + 8895. Let l(o) = -29*o**3 - 7*o**2 + 36*o - 3558. Let q(c) = -12*l(c) - 5*x(c). Differentiate q(d) wrt d.\nAnswer: -6*d**2 - 2*d + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m = 16*m + 28. Let x(v) = 2*v**3 + 33*v**2 - 12*v + 26. Let w(c) = -c**3 - 16*c**2 + 6*c - 13. Let n(p) = m*w(p) - 3*x(p). Is n(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.220986 * -7.\nAnswer: 22.546902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 8 + 2 - 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 143 - 143. Which is greater: x or 2\/103?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*c**2 + 3*c + 9*c**2 + 5*c**5 + 0*c**5 wrt c?\nAnswer: 100*c**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.7322, 4, -4.\nAnswer: -4, 1.7322, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 96*w**2 + 101*w + 391. Let o be i(-97). What is the biggest value in 0, o, -0.2, 7, -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5723*c**2 - 388*c + 4656. Let q(j) = 266*j**2 - 18*j + 216. Let t(d) = 9*n(d) - 194*q(d). Let x(y) = -6*y**2 + 2*y**2 + 0*y**2. What is t(x(o))?\nAnswer: -1552*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 19*j + 43. Let z(s) = -3*s**3 - 4*s**2 + 3*s + 9. What is the remainder when z(-3) is divided by q(-18)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 4:00 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -237 - -237.0000487. What is x rounded to 6 decimal places?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -3.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3. Let a(u) = 5*u + 9. Let x(l) = 14*l + 26. Let k(r) = -11*a(r) + 4*x(r). Let f be k(-9). Sort -2, m, f in decreasing order.\nAnswer: m, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 0*w + 2*w)*(-1 - w + 1) + w**2 - 6*w**2 + 2*w**2 + 1 - 1 + 2*w**2 + (-w**2 + 0*w**2 - w**2)*(3 + 2 - 6) - 2*w**2 - 2*w**2 + 6*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + 6 + -4)*(-38)\/(-6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*c. Suppose r - 826070 = 4*p - 246074, -5*r + p + 2899999 = c. Round r to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 6*t = -35. Calculate the remainder when 76 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, i: 1, p: 1, w: 2}. Give prob of sequence wwbp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 674 = -f, f - 3*y - 66 = 606. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from {w: 1, i: 1, b: 1, x: 2, f: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -11 + 26 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by -1 - 1 - (-84 - -14).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*(-58)\/1392*-32?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 129077508 a multiple of 4172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3)\/l)**47)**(-5\/2)*(l**1)**(-41)*(l**(1\/3))**22 assuming l is positive.\nAnswer: l**(134\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -205 - -213. Suppose g + 0*g = 112. Factor -1 - k - 146*b**2 + g*b**3 - 4 + 84*b - 5 - 32*b**4.\nAnswer: -2*(b - 1)**2*(4*b - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*v = -389*v - 2889 - 8543 - 7939 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25520992 by -224.\nAnswer: -113933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 2, 2238, -189?\nAnswer: -189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 17*d + 3. Let k be f(-17). Suppose -53 = -k*n + 31. Solve -5*h - 3*s + n = -s, 2*s + 8 = 4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 10612532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 3\/7, 0.27, 35, -0.4, -9\/2, -1.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29.3 + -29.4. Suppose -5*v - 15 = -20. Let r be (3 - (-34)\/(-10))*v. Which is the fourth biggest value? (a) 3 (b) -5 (c) r (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 110 and 0.0003422391.\nAnswer: 110.0003422391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 624 divided by 2\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.344 + -0.844. Which is the closest to 1? (a) 27 (b) 2\/25 (c) z (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-5)\/(80*(-38)\/1824)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18590, 18614, 18638, 18662, 18686?\nAnswer: 18710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/9 + 4190716*y**2\/3 - 16762856*y\/3 + 50288560\/9.\nAnswer: -2*(y - 6286070)*(y - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135) + 1*sqrt(135) - sqrt(135))*-3)\/(sqrt(27)\/(5*sqrt(36) - sqrt(9))).\nAnswer: -81*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9 - 8)\/((-25)\/(-10)). Put y, -0.2, -4 in increasing order.\nAnswer: -4, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g**(-28))))\/g**(-14) assuming g is positive.\nAnswer: g**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1991036 and 103\/44?\nAnswer: 21901396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 519008.6 rounded to the nearest 1000?\nAnswer: 519000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38173101247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 59946 to the power of 1\/2, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0 + -3)\/(-3))\/(-17 + 15).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31444 = u - v + 31423, 2*u + 5*v = -126 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15707.918 + 15687. Let v = f - 0.082. Let k be (-8 + 120\/12)*1\/4. Which is the closest to -1? (a) k (b) v (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 60*m**3 + 17*m**2 - 14*m - 14. Let t(h) = -20*h**3 - 6*h**2 + 5*h + 5. What is -17*t(b) - 6*y(b)?\nAnswer: -20*b**3 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 11*q**6\/120 - 11*q**4\/24 - q**2 - 2*q. Let v(d) be the first derivative of y(d). Find the second derivative of v(f) wrt f.\nAnswer: 66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 638*c**2 - 542*c - 7. Let n(h) = 425*h**2 - 362*h - 5. Let a(p) = -7*n(p) + 5*s(p). Find the second derivative of a(d) wrt d.\nAnswer: 430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 9 = -87. Suppose -36 = s*w - 500. Find the first derivative of w - 27 - 4*a**4 - 4*a**4 wrt a.\nAnswer: -32*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - g = 62, -2*h + 28 = 3*g + 10. Let w be 57\/h - 18\/24. Solve w*d + 3*u + 5 = 0, u - 5 = 4*d + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -95 - -1403. What are the prime factors of m?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*sqrt(110)\/(sqrt(10) + 2*sqrt(10)) - (sqrt(1584) + (sqrt(1584) - 2*sqrt(1584)) + sqrt(704) + -1 + sqrt(704)))**2.\nAnswer: -106*sqrt(11)\/3 + 30908\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2) + (4 - 1) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4478, 8958, 13440, 17924, 22410, 26898?\nAnswer: 31388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -44*w**2 - 574*w + 1153. Determine k(2).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.2 (b) 746 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*h**4*v - 2*h**3*v**2 - 2*h**3 + 518*h**2*v**2 + h**2*v wrt h.\nAnswer: 1032*h*v - 12*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(77)*-5)\/((1*sqrt(315))\/sqrt(5)).\nAnswer: -5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2179475)\/(-5)*6\/30 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-4 + -3) - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**2 - 4*k + 4. Let z = 1228 + -1224. Let b(m) = m + 4*m**2 - 1 + 0*m**2 - 5*m**2. Calculate z*b(i) + g(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/7 + 28316*n**2\/7 - 113277*n\/7 + 84960\/7.\nAnswer: (n - 3)*(n - 1)*(n + 28320)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -11*x**2 + 51*x - 9. Let n(y) = 7*y**2 - 32*y + 6. Let o(m) = 5*g(m) + 8*n(m). Let c(v) = -v**2 + v - 4. Determine 5*c(i) + 6*o(i).\nAnswer: i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o*r*z**4 - 4030*o*r*z**3 - o*r*z - 2*o*r + 2*o - 2*r*z + 3279 wrt z?\nAnswer: -12*o*r*z**2 - 24180*o*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1493820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t + 0 + 0 + 15*t. Calculate l(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -5*j + 18. Let v be ((-34)\/(-4))\/(7\/28). Let k = v - j. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*j**2 + 6*j**2 - 9 + 12 - 25*j**2 as z*j + u*j**2 + l and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 90 = 5*n + 3*q, 0 = -4*n + 3*q + 102. Suppose g - 12 = 24. What is the highest common divisor of n and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 12*d**3 - 6*d**2 + 4*d + 3. Let z be r(1). Solve -z*v - 19 = 6*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*g - 4 = 34*g. What is the first derivative of -10 - 10*d**4 + 6*d**4 - 86 - 31*d**g - d**2 wrt d?\nAnswer: -140*d**3 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - a + 8 = 0, i + 13 = 2*i + 2*a. What is the third smallest value in 2\/19, 17, i?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + 26. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118292, -236475, -354542, -472493, -590328?\nAnswer: -708047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165200 + 141296 = -78*c + 280686. Which is smaller: 3906 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Suppose -3*a = -9 - 0. Let y(w) = w**3 - w + 9. Let i be y(0). Solve k*t = 3*t + x - 15, 0 = -a*t + x + i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 33 = -3*r. Let c = 9 + r. Suppose 5 = -j, -3*b = -3*j - 1 - 5. Which is smaller: c or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4 = 14. Suppose -5 - 11 = -h*p. Solve 6 - p = -2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-32)\/6*(-12)\/1. Let x = -96 + u. Let l be 2\/(-2) - x\/4. Solve -5*a + f = 14, -2*f = -2*a - l*f - 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/23))**(-25) assuming a is positive.\nAnswer: a**(-25\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 2\/7, -3408\/11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 191 - 195. Which is the second biggest value? (a) -33 (b) 1\/4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*f - 11823 = -10673 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -5\/6*f**3 + 0*f**4 + 0 + 1\/12*f**5 - 2*f**2 + 0*f. What is the derivative of i(r) wrt r?\nAnswer: 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + 14\/(-21).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/14 - 220\/(-28). What are the prime factors of 2*34*4\/x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 greater than 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -2\/11, 0.4, -1094, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1326.8 - 1202. Let l = y - -2.2. Let k = -126.99913 + l. What is k rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -14*k - 37. Let q be z(-6). Calculate the highest common divisor of 423 and q.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*w**2 + 97 - 98 - 11*w**2 + (0*w - w + 0*w)*(-4*w - 2*w + 5*w) - 2*w**2 + 4*w**2 + 0*w**2 - 2*w**2 - 4 + 4.\nAnswer: -17*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3934289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3510 and 1071954?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*k**4 + 371*k**3 + 15394*k**2?\nAnswer: -120*k + 2226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 1 - g - g)*(11*g + 64 - 64).\nAnswer: -44*g**2 + 11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 12*l**2 + 6*l - 2. What are the prime factors of q(5)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 1225204*x**2 - 2*x + 1. Let b be v(1). Let w be 6\/((-7)\/(b\/(-6))). Suppose -4*i - 64971 = w. What is i rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 209994 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -151941\/209 - -727. Let r = 3601\/5016 - o. Find the common denominator of 69\/20 and r.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38135500 rounded to the nearest 1000000?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630*o = -522*o + 6211 + 10313. Let x = -2 + 6. Calculate the common denominator of (o\/14)\/9 + x\/(-1) and 11\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 1:46 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 295068595?\nAnswer: 295068595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.8 - 11.8. Let u = -27.8 - -27. What is the nearest to z in u, -2\/9, 1\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**2 + 41515*l + 6. Give u(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 207, 1, 3, -19 in increasing order.\nAnswer: -19, 1, 3, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 divided by 40.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k + 2*k**2 - 5*k)*(2 + 0*k + k + 0*k)*(-8 + 3 - 6) to i + p*k**2 + a*k**3 + f*k and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3008 divided by 94.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t + 16. Let a be g(6). Let v be ((-4)\/9)\/((-4)\/(-6)). Let i = 72 + -359\/5. What is the smallest value in a, i, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 51*b**2 + 660*b + 381. What is z(-24)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 6*i**2 + 2*i - 7. Let l be 1\/(-4) - (-1410)\/40. Calculate the remainder when ((-21)\/l)\/(2\/(-60)) is divided by s(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2, -0.2, 11, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -83508169 and -9.\nAnswer: 751573521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9723 + 20235. What is the thousands digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2656534 (base 10) to base 11\nAnswer: 1554991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 2*s - 4532 = 5*a, 5*a = -2*s + 22744. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -741\/2*w - 3\/2*w**2 + 2277 = 0. Calculate w.\nAnswer: -253, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1583.1 - -1653. Let s = o - 9.9. Let y = 881 + -884. Which is the nearest to 0? (a) y (b) s (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/26)\/((-33)\/(-429)). Suppose d*v = -2*n + 6 - 66, 2*n - 20 = v. Suppose -5*l - 4*w = -2*l + 23, -l = 5*w + 15. Sort l, -4, v.\nAnswer: v, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 239984 and 60208.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) -4 (c) 19 (d) 2\/3 (e) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-42) + (-4)\/12. Let r = -40 - -39.7. Sort r, b, 0, -1.\nAnswer: -1, r, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15674.37 to the nearest ten.\nAnswer: 15670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 1. Let h(k) = k + 8. Calculate -h(l) - 2*w(l).\nAnswer: l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 9*d**2 + 11*d - 6. Let x = 21 - 16. Suppose x*f - 12 = 3. Suppose f*p = 5*p - 20. Give s(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(988\/9728) - 32\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34313532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -194268 - -194272.10185. Let u = -4.1 + s. Round u to four decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63 + -316\/5. Let i = -0.7 - 2.3. Let h(q) = -q**2 - 4*q + 135. Let o be h(10). Which is the closest to i? (a) m (b) o (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45489 times 383\nAnswer: 17422287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13, -21, -33, -49, -69, -93, -121?\n\"Answer: -2*i**2 - 2*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15.4 in 0.03, -3\/5, 2, 84\/37?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = -25*j, 4*c + 12 = 3*j - 4*j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0 + 2 = -p, 4*i = 20. Let y be (18\/45)\/(1\/(-30)). Let b = y + p. Solve l = -b + 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109*a**3*h**2 - 2*a**3*h - a**3 - 330*a*h**2 + 29460*h wrt h?\nAnswer: 218*a**3 - 660*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqwf when four letters picked without replacement from {w: 1, h: 1, q: 1, f: 2, s: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -9\/5*z**2 + 0 + 6\/5*z + 3\/5*z**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (-41 - (-10 + -10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 29 + 59 = -2*w, -3*i = -4*w - 65. Let l = -2 - -1. Let d be l*(w\/15 + 1). Which is the third smallest value? (a) 0.5 (b) d (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 6*s - 4*i - 35 = 0, 3*i + 27 = 4*s. Suppose -43*f = 48*f - 20*f - 213. Solve -4*x - f = -s*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 370 (b) -5 (c) -0.4 (d) -1\/2 (e) 0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 3*p**5\/20 - 3*p**4\/4 - 9*p**2 + 10. Let t(o) be the second derivative of a(o). What is the second derivative of t(y) wrt y?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -194, -565, -1234, -2243, -3634, -5449?\n\"Answer: -7*i**3 - 107*i**2 - i - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2633 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1604.4 - -1604. Sort 4259, -4, v in descending order.\nAnswer: 4259, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/175 - -166\/525. Let b be (-1)\/3 + 1 + 2. Factor -5\/3*o**2 - 4\/3 - b*o - p*o**3.\nAnswer: -(o + 1)*(o + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 3944876*g + 19724480.\nAnswer: -4*(g - 5)*(g + 986224)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19522*b**3*n*o - 6*b**3*n - 8338*b**3 - 5*n*o with respect to o.\nAnswer: -19522*b**3*n - 5*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (490\/(-3))\/((-94410)\/28323).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -34494, -69771, -105828, -142665, -180282, -218679?\n\"Answer: -390*j**2 - 34107*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 10 + 22 = 0. Let w(p) = p**3 - 4*p**2 + 2. Let i be w(4). Let d be -1*((-10)\/(-6) - i). What is the nearest to d in -3, -2\/5, s?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 494249796 divided by 1457964\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*1\/5)\/((-8)\/350*21).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(30)\/(-4*sqrt(40))*-2)**2.\nAnswer: -5*sqrt(3)\/2 + 403\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 121607371 a multiple of 1146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3783a (base 11) to base 3.\nAnswer: 2202102022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -23. Suppose j + n = -3*n - 3, -4*n + c = 2*j. Let i = 23 - j. What is the lowest common multiple of i and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103111 (base 4) in base 5?\nAnswer: 132313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2067, -2433, -1099, 1935, 6669, 13103?\n\"Answer: 850*r**2 - 2916*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17953 and 838267.\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 10, -2, 71, -1, -2\/11, -95, -32?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (77\/(-22))\/(-1 + (-2)\/(-4)). Let v be -7 + 1 + t + 2. Solve 0 = 5*m - f - 16, -v*m - f + 12 = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0311 + 0.1311. Let a = 0 - -2. Sort a, i, 1, -16 in ascending order.\nAnswer: -16, i, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 10 + 0*l - 1\/3*l**3 + 0*l**2. Let s(b) be the third derivative of b**5\/60 - b**2. What is f(s(m))?\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 6 = -56. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117 + -29 + -49 + 1\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -115*w**4 + 7 - 7 + (-w + w - 2*w**3)*(3*w - 3*w - 2*w).\nAnswer: -111*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*o, 3*o = 2*m - 5*m + 15. Suppose 0 = 3*q - h - 40, -3*q + 2*q = -2*h - 10. Solve 2*k = -i - 9, k = -m*k - i - q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -5, -3, 0, 3, -1409, -1 in decreasing order.\nAnswer: 3, 0, -1, -3, -5, -31, -1409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from {a: 2, o: 2, t: 1, b: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50.165 - -50.22. What is the nearest to 9 in j, -4\/3, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(50))\/(-4*sqrt(50)\/sqrt(5)).\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 90*s**3 - 3*s**2 + 17*s - 115. Is i(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**3 + 219*c**2 - 241*c + 1774. What is y(72)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 11*u**2 - 2*u - 29. Let y be p(12). Suppose 4*m - 355 = -y. Let l be (-32)\/(-10)*(-29425)\/m*7500. What is l rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264 and 3135.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klok when four letters picked without replacement from ooooklookolo.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s + 203 = -0*s - s. What is the least common multiple of 1632 and s?\nAnswer: 11424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 24 + 7 = g, 5*m = g - 23 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffwyvvyyovyvwuy. What is prob of picking 1 o, 1 w, and 1 u?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25\/132 + 2\/33. Which is the fourth smallest value? (a) 3\/2 (b) t (c) -2\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1147749.\nAnswer: 3, 382583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2. Suppose t = c - 4*t + 8, -16 = -4*c - 4*t. Let o(s) = 3*s + 2*s - c*s. What is a(o(v))?\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w - 37. Determine s(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -127\/3 (c) -4\/5 (d) -6929 (e) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50759919?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 14. Suppose 3*l - 12 = 3*v - y*v, -2*v - 3 = -l. Does 14 divide (l + -1)\/(20\/70)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p + 5. Let u(x) = -x + 4. Give -2*n(m) + 3*u(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -53*d + 31. Determine u(-2).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*k - 37*k**4 + 2*k**2 - 2*k**2 + 34*k**4 wrt k?\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504779 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 809*y + 5768. Calculate r(-7).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -234*j - 3*n - 3279, -3*j + 860 = -5*n + 897 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12, -29, -56, -99, -164, -257?\n\"Answer: -s**3 + s**2 - 13*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -m - 2*r, 0 = 4*r. Which is smaller: m or 1\/87?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2780?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 + 1668*f - 1671.\nAnswer: 3*(f - 1)*(f + 557)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22848 and 1654304?\nAnswer: 69480768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 8*i**5\/7 - 132*i**4\/7 + 664*i**3\/7 - 1164*i**2\/7 + 432*i\/7 = 0.\nAnswer: 0, 1\/2, 3, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or 2\/161?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 10.000022. Round r to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x**2 - 165*x - 1. What is the tens digit of z(38)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 5 = 10*c + 5*a, 0 = -5*c - 3*a + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/6)\/(-2*(-7)\/(-63)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 923*x - 6 - 4145*x.\nAnswer: -5068*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*w + 2. Let n be (-1 - (3 - 4))\/w. What is the remainder when 31 is divided by 5\/15*(n - -6) + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 1. Suppose -4*o + 5*r - 33 = 0, 0 = 4*o - 2*r - 2*r + 28. List the prime factors of c(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 2. Let d be l(-2). Solve -d*r + 0*c = 3*c - 8, r = 2*c + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 1. Let k(v) be the third derivative of -v**3\/2 + v**2. Let b(p) = 211*p - 1 + 211*p - 423*p. Calculate l*k(g) - b(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.21311 and 0.3.\nAnswer: 1.51311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*g)*(-17*g - 6*g**3 + 17*g).\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 11. Let z(c) = 7*c. Let g be z(q). Is 4 a factor of g\/(21\/(-6)) - -9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -448 or 4069?\nAnswer: 4069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 598?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 13. Which is smaller: b or -14\/19?\nAnswer: -14\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3447 + -3553. Are -1.3 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 2. Let y = -23 - -23. Suppose s - q + y = 5, -2*s + 5*q = -7. Let m be z(s). Solve -m*u = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -23515, 0.3, -7, 6\/11, 13, 1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 0.2014.\nAnswer: 0.6014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 342*y. Let m(o) = 7*o. What is -198*m(b) + 4*p(b)?\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 69\/21 - (-128)\/42. Find w, given that -2\/3*w + 0 + h*w**2 - 8\/3*w**3 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*i + 2149 = 406*i + 13489 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 130256 by -4.\nAnswer: -32564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27812852 is divided by 496658.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 18\/2565409?\nAnswer: 18\/2565409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 4. Let h be y(0). Let f be 2\/(-8) + 33\/h. Let v = 68 - 60. Calculate the greatest common factor of v and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.77478 weeks to minutes.\nAnswer: 27969.7824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-15) - 4)\/((-8)\/(-5)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -8 + (-32 - (8 - 45)) + 64\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, g: 7, s: 1, m: 4, q: 5, u: 1}. Give prob of sequence ggf.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1571378?\nAnswer: 2, 17, 113, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 116. Let r = 10 + -21. Let f = i - r. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4072174 and 2?\nAnswer: 4072174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2841 + -0.1841. Sort a, -3\/31, -1.4, -0.2 in ascending order.\nAnswer: -1.4, -0.2, -3\/31, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 divided by 7?\nAnswer: 151\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.23866*158.\nAnswer: 37.70828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 7.3. Let i = -28 + 16. Let y = 11.8 + i. What is the nearest to 0 in -1, l, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 26 = 2*f - 28, 0 = w - 10*f - 5. Solve -8*s = -s + w*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**8\/20160 + v**5\/20 + 5*v**2. Let p(m) be the third derivative of s(m). Let a(b) = -5*b. Calculate p(a(q)).\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 242 and 1745062.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 - 182)*(280\/(-25))\/7?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -5*d**3 + 5030*d**2 + 5*d - 5030 = 0.\nAnswer: -1, 1, 1006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**3 - 2*i**2 - 4*i - 5. Let g(x) be the third derivative of x**6\/40 - x**5\/30 - 5*x**4\/24 - x**3 + 66*x**2. What is -4*g(n) + 5*v(n)?\nAnswer: 3*n**3 - 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 6*g**2 + 10*g + 12. Does 20 divide c(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 10:33 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19273 (base 10) to base 6.\nAnswer: -225121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*3*(-3)\/(-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -k - 145*k + 24*k - 159*k + 0*k in the form s + f*k and give f.\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -433511 (base 7) to base 16.\nAnswer: -127c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from {z: 5, r: 4, a: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - 20*(-42)\/56)*67\/4 + 9?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -10*h - 4. Give u(4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 411701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 21734, 86924, 195568, 347666, 543218, 782224?\n\"Answer: 21727*f**2 + 9*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18501480180)\/24)\/15 + 3\/(-2 - -8). What is b rounded to the nearest 100000?\nAnswer: -51400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 21*h**2 + 5 - 6*h - 2 - 24*h**2 + 6 = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 1. Let j(i) = -4*i + 93. Suppose -9*l + 198 + 27 = 0. Let c be j(l). Let r be ((-2)\/4)\/((-1)\/(-4)). Let b(u) = -4*u - 4. What is c*y(k) + r*b(k)?\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11824 + 17696. List the prime factors of k.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 3997 - 4004 = -3*v - 7917, 4*v = 2*b + 142 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) -1\/4 (c) -291 (d) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -490 + 1282. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*q - i, 0*q + 4*q - 3*i - 30 = 0. Let p(y) be the first derivative of y**4\/4 - 2*y**3 - 3*y**2 + 5*y + 3. What is p(q)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/75440 and -51\/26404.\nAnswer: 528080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/11 and -49\/326.\nAnswer: 3586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 + 10*x + 4. Suppose 408 = 12*f + 96. What is the remainder when f is divided by b(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1483*l - 781*l - 178636 + 178634 to x*l + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from {o: 1, u: 4, r: 1, b: 4}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -161 - -180. Let h(m) = m + 44. What is the remainder when h(i) is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10 - 35*s - 47 + 93 with respect to s.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212, 1937, 6624, 15755, 30812?\nAnswer: 53277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 + -132. Let u = 261 + h. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9859, -1\/3, 0.1, -7 in descending order.\nAnswer: 3, 0.1, -1\/3, -7, -9859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7746*f**2*g + 10*f**2 - 3*f*g - 2*g + 1030951 wrt f?\nAnswer: 15492*f*g + 20*f - 3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.062594 and 58?\nAnswer: -3.630452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.6531119s to minutes.\nAnswer: 0.027551865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 8*h - 6. Let n(f) = -f**2 - 9*f + 7. Let c(b) = -3*g(b) - 2*n(b). Let q be c(-6). Solve o = -3*v - 11, -3*o - q*v - 13 = -0*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 12.3225975 microseconds?\nAnswer: 0.00000000014262265625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from fimiifmiffiiimfwipmi?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46653*k - 46660*k - 112 = 0 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2013*-23.63\nAnswer: 47567.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000000 (base 2) in base 10?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 1:36 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 14?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23314 - 23309. Solve 0 = -5*u + 12*z - 7*z - 25, 0 = u + 5*z + j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 0.3 (b) 13 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 5*u - 19 = 0, -26 = 5*l - 442*u + 444*u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3007108 + 3007108.5300122. Let z = 0.7 - 1.23. Let b = m + z. Round b to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/((-15)\/(-6)) + 5. Let s(q) = -q + 5. Let x(o) = -24 + 1820*o - 916*o - 900*o. Calculate b*x(p) + 14*s(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 12:23 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * 0.3.\nAnswer: 5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 87, 182, 313, 480, 683, 922?\nAnswer: 1197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 1:13 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2514 by -1257.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 497*k - 520*k - 23 = 0. Let z = -3.12 + 0.12. Which is the closest to k? (a) z (b) -6 (c) 0.1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2308 (base 9) in base 2?\nAnswer: 11010101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 52692\/(-60) + -2 - 1\/(-5). Let n be -4 + -3 - (c\/15)\/8. Find v such that 0 + 1\/3*v**2 + n*v**3 + 0*v - 1\/3*v**4 - 1\/3*v**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2739 = 110*r - 27*r. What is the highest common factor of 24 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 966175594.\nAnswer: 2, 483087797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4806 + 4797. Which is smaller: w or -250\/31?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66017\/27 - -2445. What is the nearest to 19 in -0.2, l, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.1 (c) 2 (d) -4 (e) -96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 107449087 to the power of 1\/4, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 8*o + 66 = -10*o, -3*f = -2*o - 51. Calculate the remainder when 58 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(135\/(-129)) + (-4)\/(-18). Suppose 2*x = -2*c + 12, m*c - 30 = 4*x + x. What is the greatest common divisor of c and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105 - -161. Suppose 6*i + 3*i = -279. Let u = i + z. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35\/972323 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*m + 2*q, m - 38*q - 1 = -2*m - 36*q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n + 0 + 0)*(2*n**3 + 3 - 3) - 441 + 884 + 312*n**4 - 443 as d*n**3 + c*n**4 + l*n + t + k*n**2 and give c.\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -22635711 (base 8) to base 4\nAnswer: -102303233021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 13608 = -21*g. Let c = g - 258. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from {a: 3, p: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1\/2 (b) 9 (c) -4 (d) -5 (e) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 136 times 1074\nAnswer: 146064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53711*y**3 - 73362 wrt y.\nAnswer: -161133*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 - 6)\/(2\/2). Suppose o = 5*p - 49 - 1. Let j(r) = -r**2 + 6*r. Let v be j(5). What is the greatest common divisor of v and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 174049968 or 522149900\/3?\nAnswer: 174049968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ac when two letters picked without replacement from {s: 8, c: 1, w: 4, q: 1, a: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -125. Let o = l - 129.7. What is the nearest to 1\/4 in 0, 6, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x - 3. Let r be o(3). Suppose -r*v + 25 = -2. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -211*k**6\/10 - k**4\/6 + k**3\/3 + 9329*k**2\/2 - 3929*k. What is the derivative of t(z) wrt z?\nAnswer: -2532*z**3 - 4*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 0 - -67 - (1 + 14)) + (-7 - 1)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -16926*u**3 + 98*u - 196. Let f(z) = 868*z**3 - 5*z + 10. Determine -98*f(w) - 5*h(w).\nAnswer: -434*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkllkll. What is prob of picking 3 l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9199 + -9189. Solve -2*r - 11*k + 8 = -i*k, 2*r - 5*k - 20 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4839 or 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d + 3 = 8*d - 4*z, 0 = 4*z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**3*v**3 - 7*q**3*v**2 - 42*q**3*v + 41*q**3 + 2*q**2*v**2 + 7*q*v**3 - 2*q*v**2 - 1241*q*v wrt q.\nAnswer: 6*v**3 - 42*v**2 - 252*v + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -190*r**2 - 5722*r + 100. What is j(-30)?\nAnswer: 760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2497 and 5221?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -152\/73 - -115441\/55407. Which is greater: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -89.6 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 - 290\/40)*-8*(-46)\/897. Factor -2\/13*m - 2\/13 + r*m**2.\nAnswer: 2*(m - 1)*(2*m + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4879 and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 77?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -k + 121, -k = -5*t + 2*t + 71. What is the remainder when 47 is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98*v**2 + 95*v**2 - 37*v**2 - 25*v**2 to the form a*v + q + h*v**2 and give h.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 7 = 2*g. Let t(v) = v**2 - 3*v - 19. What is t(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 + 3*h - 2. Let c be q(-4). Let i be (-4)\/18 + 58\/c. Suppose -m**3 + m - i + 3 + m**2 - m**4 = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - -0.8. Let z = j + -0.1. Let y = -0.179 - 0.821. Which is greater: z or y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 762 is divided by 109?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 149 + -239. What is the remainder when 14 is divided by ((-6)\/(-45) - (-462)\/a)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - a - 13, k + 7*a = 9*a + 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -125, 66.88, -1\/3, 4\/7, -0.5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15112820 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 2*i**2 + 3*i + 1. What is g(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-8)\/(-4) - -62. Suppose -v + 21 = 3*s. What is the units digit of (-284)\/(-10) - (-6)\/s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.147 + -0.153. What is the third smallest value in t, -2\/305, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59484 or 59481?\nAnswer: 59481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 6*a**2 + 7*a + 7. Let f be d(-5). What is the third smallest value in f, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 107667 and 399.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express d**4 - 677303*d**3 + d**4 + 677284*d**3 - 7*d**4 + 5*d + 2*d**4 + 2*d**2 in the form j + w*d**4 + v*d**2 + n*d**3 + s*d and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47\/3 - 292\/15. Find the common denominator of r and 5\/7*(-8)\/(-10).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -10\/51 (b) -0.2 (c) 0.3 (d) 1 (e) 5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 p when four letters picked without replacement from zzzzzpzppzp?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4572 by -2286.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2059\/9 + 229. Let n(v) = -v**2 - 5. Let h(g) = -g**2 - g - 5. Let f(m) = -6*h(m) + 7*n(m). Let o be f(5). What is the closest to -2\/3 in a, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 436358433 and -1.\nAnswer: 436358432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(4 - 7)*1. Are 7 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -628289\/200310 + 2\/9105. Calculate the common denominator of -9\/44 and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122966737813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**3 + 5632*f**2 + 112022*f + 508872 = 0.\nAnswer: -2796, -13, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -14732952 divided by 3?\nAnswer: -4910984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1669*m = -3072 - 3604 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*d*o**2*y**2 - 202191*d*o*y**3 - 28057*d*o + 8*o**2*y**4 + 3*o*y**2 wrt y?\nAnswer: -1213146*d*o + 192*o**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0\/3 - -41) + 3?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*y - 23*y = -2*d - 25, 0 = 5*y + 7*d + 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -36. Is -9 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 2*i - 172, -4*b = -8*b + 5*i + 131. Suppose 41*d = b*d + 9527. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y + 1. Let g be k(1). Let h(x) = -x**2 - 6*x - 4. Calculate h(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -7*c**2 + 1. Let q be p(-1). Let h be (q\/5)\/((-2)\/5). Let z(s) = -s + s - h*s. Let t(j) = -j. Give t(z(d)).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + l + 11 = 28, q - 3*l + 3 = 0. Let t be (q\/15)\/(3\/(-1020)). Calculate the highest common factor of t and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1132*x + 933*x - 737*x. Let m(d) = 2*d**2. Determine m(s(f)).\nAnswer: 1752192*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 139*m + 138*m = 13, 2*m = -4*i - 26 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 203400 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.15 - 0.6. Let k = q + -0.05. Let x = k - 1.5. Put x, -3, 2\/7 in increasing order.\nAnswer: -3, x, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**4\/72 - h**3\/3 - 3*h**2 + 14*h. Factor t(k).\nAnswer: -(k + 6)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 7:57 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (43*1)\/((-4)\/(-12)). Let r be c\/27 + (-4)\/(-18). Let v(m) = 2551*m - 25515. Let k be v(10). Put k, r, -12 in ascending order.\nAnswer: -12, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1877597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-3\/4)*j*j\/(j\/(j*j**(1\/3)))*j*j*j**4*j*j\/(j**(1\/3)\/j)*j)\/((j**(-1\/2))**(-27)\/(j*j**(-2))**(1\/19)) assuming j is positive.\nAnswer: j**(15\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -147779, -295560, -443341, -591122, -738903, -886684?\nAnswer: -1034465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -1 - (-15 + 7 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -379452600 divided by -75890520.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -579 + 0?\nAnswer: -579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 10*h**2 + 4*h + 1. Let v be (7 + 0)*117\/91. Let f(m) = 2*m**3 - 21*m**2 - 10*m - 2. Let n(u) = v*z(u) + 4*f(u). Calculate n(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*6\/4*97\/582.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4133.0277 rounded to the nearest one hundred?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.408 - 0.092. Let l = -2.8 - -3. Let f = -6 + 5.6. Which is the biggest value? (a) l (b) z (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mfyavyffymm.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 388 divided by 194.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15390 + -15387. Solve -24*j = -23*j - w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l - 1792 = -12*l. Let b = -116 - l. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 + 15. Let g be (2\/q)\/((-3)\/27). Which is the closest to -1? (a) g (b) -0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -65*h - 3120. Give l(-48).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from {j: 4, t: 3, v: 11}.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5496 - -9917. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5192 and 6602464.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 - -0.57. Let u = q - 0. Let y = u - 0.17. Which is the third smallest value? (a) y (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.14 + 0.139948. Round y to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 9:47 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -3*y**4\/4 + 11192*y**2. Let a(o) = -326*o**2 + o. Calculate a(h(s)).\nAnswer: -105624*s**2 - 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -597 (base 11) in base 12?\nAnswer: -4b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/(-2))\/3 - 1. Put k, 0, 4 in descending order.\nAnswer: 4, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 11:26 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.59654ug to milligrams.\nAnswer: 0.04559654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**3 + b. Suppose -2*m + 3*t - 4 = 0, 6*t - 2*t - 11 = -3*m. Give k(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2\/21))\/(j**(-16)\/j))**(1\/13) assuming j is positive.\nAnswer: j**(380\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20973 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2*(4 - 2))\/(-2). Let y(r) = r**2 + 3*r - 5. Let l be y(q). Solve -l = -p - 4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 10 = 3*z + t, -z + 20 = -3*t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.9099933 + 1.91. Round d to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/72080 and -83\/19822.\nAnswer: 792880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -31856, -127427, -286712, -509711, -796424, -1146851, -1560992?\n\"Answer: -31857*d**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8\/9, -20, -0.1, 3 in ascending order.\nAnswer: -20, -1, -8\/9, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16778 is divided by 5558?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*l + 13710 = 17455 for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 3*q - 7*d + 21, -4*d - 12 = 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -170739922 or -170739921?\nAnswer: -170739921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 8 = -6*t + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/20208 and 47\/95988.\nAnswer: 383952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + w - 135. Suppose f = m + 16, 4*f = m + 22 + w. Calculate the remainder when f is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 549306551*a**3*m + 16176*a**3 - 74*a**2 - 16*a wrt m.\nAnswer: 549306551*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1.5. What is the closest to 3 in i, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aaannaanaaaaaanaan.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*f**5 - 13*f**3 + 1531*f**2 wrt f?\nAnswer: -720*f**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 18*z - 485 = 117. Let a(x) = -x**3 + 4*x**2 + 2*x + 1. Calculate the remainder when z is divided by a(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24624 = -6*t + 1026. Does 18 divide t\/38 - (-3)\/2 - -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0138930213 to 4 decimal places.\nAnswer: 0.0139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 477 + 409 = -4*n, -12*h + 3*n = -1 + 43 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z**2 - 76*z + 262. Calculate u(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7727229, -7727227, -7727225?\n\"Answer: 2*h - 7727231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 22, 23437 in ascending order.\nAnswer: 14, 22, 23437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t + 20 = 13*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 536369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 9*o**2 + 14*o + 6. Calculate m(-9).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 7*r + 1. Let z be d(6). Let o = -143 + 137. Which is smaller: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1018 - 2?\nAnswer: -101a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**4 - 47920*w**3 + 335576*w**2 - 719184*w + 431532 = 0. What is w?\nAnswer: -11987, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1955 + 1948. Sort 11\/5, w, 0.03, -0.2 in ascending order.\nAnswer: w, -0.2, 0.03, 11\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**2 - 3. Let l(s) = 75*s - 14*s - 66*s. Determine q(l(c)).\nAnswer: -75*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in 0.2, 0.4, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*225.\nAnswer: -112.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -192 - -196. Calculate the common denominator of 95\/2 and (-6)\/615*(79\/j - -4).\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**5\/230 + 25*x**4\/46 - 49*x**3\/23 + 73*x**2\/23 + 171*x. Suppose w(t) = 0. What is t?\nAnswer: 1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65 - -60. What is the smallest value in 5, v, 2, -2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -45*h**2 - 55*h. Let r(g) be the third derivative of -g**5\/12 - g**4\/4 + 8*g**2 + 2*g. Calculate -6*n(w) + 55*r(w).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.04 (b) 4 (c) -4 (d) 2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/((-12324)\/(-632)*4\/39).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 319069548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86 and 870535.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 17*m. What is the tens digit of b(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 24 = -8*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**4\/12 - f**3\/3 + f**2\/2 + 16*f. Let q be y(1). Solve q = 3*b - 1 - 14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (165\/30)\/(3\/(72\/(-4))).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/5 (b) -1\/4 (c) 0 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -287672*a**2 - 59148*a wrt a?\nAnswer: -575344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7864387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.8 + 3. Let r = -9249\/8 - -1156. Which is the closest to k? (a) -0.2 (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 563470 to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, f: 1, j: 1, i: 1, c: 1, k: 2}. What is prob of picking 1 f, 1 j, and 1 i?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -11633 - 10813. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (76*o**2 - 148*o**2 + 90*o**2)*(o - 4 - 11 + 13) in the form j*o + k*o**3 + s + t*o**2 and give t.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-63)\/(-15) - 27\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17331.363 nanoseconds in hours?\nAnswer: 0.0000000048142675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*n + 0*n + 12*n)*(0 - 1 + 3)*(-3*n**2 + 3*n**2 + 3*n**2) in the form a*n**3 + u*n + c*n**2 + w and give a.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28616 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27819 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 2 = -s. Suppose 0 = -u - 0*u + s. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 20 = -0*y - 5*y, 5*y - 70 = -5*r. Let g be (r\/5)\/(15\/50). Let p(o) = -g - 3*o + 6 + 4*o. Determine p(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**4\/13 + 170*m**3\/13 + 34*m**2 - 4058*m\/13 + 3444\/13 = 0.\nAnswer: -82, -7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/4235295?\nAnswer: -1\/4235295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -834 (base 12) in base 5?\nAnswer: -14232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 + 60. Suppose -38 = -0*z + j*z. Which is greater: z or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-3 - -12) + -3 + -13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t - 28*t + 9*t + 9*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = -t, -t - 4*m + 16 = -0*m. Suppose 0 = -6*i - t*i. Let j be (i - -1)*(-6)\/36. Which is the second smallest value? (a) -1 (b) j (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1323 and 88 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -9*x + 3*x**2 - 3 - 4 + 5*x. What is the units digit of y(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3\/9 + 457664*i**2\/9 - 305114*i\/3 - 152556 = 0. Calculate i.\nAnswer: -228834, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 11*c + 17. Let p be r(-9). Which is smaller: p or -2\/21?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*u**2 + 82*u**2 + 198*u**2 - 86*u**2 + 70*u**2.\nAnswer: 316*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**5\/60 - 17*g**4\/24 - 4*g**3 + 4*g**2. Let z be i(19). Which is smaller: z or 16?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68916977 - 7384011 = 135*b + 6784762. Round b to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4196.99999689 + 4197. Round i to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 7 + 2 = 0. Let u = v - 13. Let k = 12 + u. Which is bigger: k or -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(5 + -2) + 26. What is the greatest common factor of v and 230?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b = -20*b + 60. Let n = b + -26. Suppose 2*f + 6 = 0, -2*f - 5 - n = 3*u. Which is greater: -5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/15*27\/(-12). Let o(p) = -17*p + 13. Let k(y) = 4*y - 3. Let s(q) = t*o(q) - 26*k(q). Let i(r) = -4*r. What is s(i(v))?\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b**2 + 65*b - 13. Is f(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 2*t + 6. Let s be q(-1). Which is the nearest to -2? (a) -4 (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d**3 - 4*d**2 + 2*d. Let y(l) = -25*l**3 + 17*l**2 - 9*l. Calculate 6*y(b) + 26*z(b).\nAnswer: 6*b**3 - 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000001100001 (base 2) in base 7?\nAnswer: -66023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {d: 4, x: 7, y: 7}.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w = 15*w. Suppose w = -8*o + 12 + 12. Differentiate 20*u - 17*u - 2 - o with respect to u.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + -90 + -281 + -150 + 440\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 336 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f**3*g**4 + 57*f**3*g - 3814*f**3 - 8*f*g**2 wrt g?\nAnswer: 4*f**3*g**3 + 57*f**3 - 16*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1446)\/(-4579) + 1080\/(-1254)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -168*p + 276 + 564. Let v be (-1 + 4)*(-1)\/3. Sort p, v, -6, -5 in descending order.\nAnswer: p, v, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 1050?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 204750?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7026 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019022573 to five dps.\nAnswer: -0.01902","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8019*d - 8060*d = -779 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9057 + -144849\/16. Calculate the common denominator of -17\/18 and u.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41.75 - -42. Let c = p + -2.25. Put 4, c, -2\/9 in ascending order.\nAnswer: c, -2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52\/1293 or -98\/5?\nAnswer: 52\/1293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -851*o**8\/168 + 259*o**4\/2 - 1689*o**2. Find the second derivative of c(y) wrt y.\nAnswer: -34040*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -862 + 797. What is the biggest value in 10, 5\/4, v?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**3 - 3*a. Let q be i(3). Let k = -24 + q. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49086 and 11615?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-566)\/(-312) + (-1)\/3 and 882\/364*2\/12*(-33)\/(-66).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 641 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -560 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*h*l**5 + h*l**4 + 5*h*l**2 - 13475*h*l - 2*l wrt l.\nAnswer: 240*h*l**3 + 12*h*l**2 + 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 5*a - 16 + (3 - 10 - 16)*(3 - 3 - 2*a) as i*a + r and give i.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 5:52 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6465360422?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (40\/12)\/((-8)\/12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16547 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1070594.9779 rounded to the nearest ten thousand?\nAnswer: -1070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/7 (b) -4 (c) -10\/79 (d) -3 (e) -388\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**5\/60 - j**4\/12 + j**2. Let c = -6 - -15. Suppose 2*i = -i - c. Give b(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -17.4. Let j = w - 1.1. Let m = 1 - -2. Which is the second biggest value? (a) m (b) -1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 15, 20?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-12))\/((-2)\/(-9)). Let v = 1 + c. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**3\/4 + 6*d**2 + 33*d + 36 = 0. What is d?\nAnswer: -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, -1\/5, -2\/5, 146, -45 in decreasing order.\nAnswer: 146, 3, -1\/5, -2\/5, -6, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**2 - 6*h + 11. Let k(n) = -4*n**2 - 5*n + 10. Determine -7*k(z) + 6*r(z).\nAnswer: -2*z**2 - z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61719*b**2 + 4*b - 379595.\nAnswer: 123438*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 122*b**2. Let a(j) = 7*j**2 + 5*j + 15. Let t(y) = -8*y**2 - 4*y - 12. Let m(w) = -4*a(w) - 5*t(w). Determine z(m(f)).\nAnswer: 17568*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3912 - -3159. Let t = -155521\/22 + q. What is the common denominator of t and (-578)\/(-308) - 6\/21?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 3*i + 1170. What is c(72)?\nAnswer: -3798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 12*t**3 - 2*t**2 - 2*t + 14. Is 84 a factor of s(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1922*n**2 + 64232*n + 536648.\nAnswer: 2*(31*n + 518)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 550 and 1606?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*((-1)\/(-1))\/(-1). Let q(u) = 3*u - 10. Let j be q(5). Let v(i) = i**3 + 6*i**2 + i + 4. Let o be v(-6). Put j, o, a in ascending order.\nAnswer: o, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 3:36 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 50*r - 189. What is c(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -709*b*o**2 + 265*o**2 + 2*o wrt b?\nAnswer: -709*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13862 is divided by 228.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 1 + (-3)\/12. Let r(k) = 6*k**2 + 2*k. Let t be r(-1). Suppose 25 = t*n + 9. Which is the second biggest value? (a) z (b) -2\/9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -0.1. Suppose b = k - 4, -5 = k - 3*k + 5*b. Let n = -1523 - -1512. Sort k, 2\/3, w, n in increasing order.\nAnswer: n, w, 2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -0.2 (c) 1.6 (d) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 11*m + 26. Give x(11).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1005082*j**4*k**3 + 377*j**4*k + 13501*j**2*k**3 + 149*j**2 + 10*j*k**3 wrt j?\nAnswer: -24121968*j*k**3 + 9048*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -15. What is the third smallest value in -3\/4, -0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1960 and 4.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.113, 737, 18, -0.022?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 14) to base 12.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2) + (-284)\/8. Let p = q - -38. Find z, given that -20 - 18*z + 8*z - 2*z**p - 3*z**2 - 10*z = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 335 - 195. Suppose -3*m - m + f = 0. Let q = 44 - m. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3 - 11 = t, 4*t = -3*l + 23. Factor -2*s**2 + 0*s**2 - s + 4*s**2 - 2*s**4 + s**l.\nAnswer: s*(s - 1)**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-20) - 36\/(-10). Suppose 0 = -3*s + 2*w - 4 + 3, -d*s - 6 = -5*w. What is the tens digit of (-3 + s)\/(-2)*25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or 851308?\nAnswer: 851308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 - 79. Let v(b) = 932*b**a + 1 - 928*b**2 - 1. Let u(m) be the second derivative of 7*m**4\/12 - m. What is u(v(f))?\nAnswer: 112*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1200\/604 + 1\/(3\/(-6)) and 22\/7.\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72.53 + -73. Round z to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**3 + 6910*i**2 + 2401165*i + 9494420 = 0. Calculate i.\nAnswer: -689, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-294)\/(-210) + (-4)\/10. Let v = -3.5 + -0.5. What is the closest to x in v, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-16)*993080\/(-20350)\nAnswer: -61\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 107 = -131 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*f + 71632 = -2404*f - 941*f for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, g: 6}. Give prob of sequence ggvv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 909 - 187733692520?\nAnswer: -187733691611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) -0.5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 2*i - 186 = 0, -435*r + 5*i + 6 = -436*r + 24 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60035 - 441?\nAnswer: -60506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*q + 9 = 13*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7944*f + 10661*f - 2721*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1053 + 1065. Suppose 1396 - 5246 = -22*o. Calculate the remainder when o is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -44235, -87707, -131169, -174615, -218039, -261435?\n\"Answer: p**3 - p**2 - 43476*p - 759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (1 - (4 - -2)). Let k be (45\/(-10) + 5)*(3 + 5). Find the third derivative of 2*l**k - 3*l**4 - 2*l**2 - 6*l**4 - 2*l**u wrt l.\nAnswer: -216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l**3 - 6*l**2. Let d(x) = x**3. Let k(o) = -c(o) - d(o). What is the third derivative of k(f) wrt f?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a hour in seconds?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 778*y - 816*y = -1900. Calculate the remainder when 187 is divided by y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 13. Suppose 5*q - 10 = z, -3*z + 4*q = -0*z - 3. Sort l, z, 2 in descending order.\nAnswer: z, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18601\/30 or 621?\nAnswer: 18601\/30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 573.\nAnswer: 286.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1826794758 to the power of 1\/2, to the nearest integer?\nAnswer: 42741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -30, -2\/13, -1.1, 2\/5?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 - 78748196?\nAnswer: -78748280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - k**2 + 1. Let n(c) = 32*c**3 + 136*c**2 + 144*c + 10. Let y(z) = n(z) - 2*t(z). Find d, given that y(d) = 0.\nAnswer: -2, -1\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (13 + 1)*(-6)\/(-12). Suppose 0 = 3*u - z*u + 728. Suppose -8*l + 6 = -106. What is the highest common divisor of u and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 116, 7\/6, 1\/2, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/49 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.073 + -2?\nAnswer: -11.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 20370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 - 2817*d**4 + 23*d**3 - 6*d**3 - 6*d + 2818*d**4 + 19*d - 6*d**3 in the form f*d**2 + h*d + l*d**3 + m*d**4 + t and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -264\/119 - 3883\/2380. Calculate the common denominator of ((-996)\/32)\/((-27)\/18) and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 2. Let g(z) = -380*z**2 - 56. Calculate -6*g(k) - 168*x(k).\nAnswer: 2112*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 60 - 52 + 0*z.\nAnswer: -z - 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 133 + -129. Suppose 2*h + 4*b - 1 = 39, -h + 12 = 4*b. Suppose 3*j = h - 4. What is the smallest common multiple of j and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*u**3 - 34 + 14*u**3 + 15*u**3 + 34.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -66, -5, -2\/9, -2323646?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 7. Let s(b) = 4*b - 17. Let l be s(6). What is the smallest common multiple of a(l) and 52?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/2 and -7\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 9:30 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 9 - 2*(-1 + 3). Suppose 3*g = -g - 3*o, -g = -o. Suppose 5*a + 2*k - 1295 = 0, g = -i*k + k. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (3 - 96\/(-3)). Let w = b - -83. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1156*p**5\/3 + 1394204*p**4\/3 + 64857743*p**3 + 11441866*p**2\/3 + 168245*p\/3 = 0. Calculate p.\nAnswer: -1045, -161, -1\/34, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1736 divided by -31\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + (sqrt(1216)*-1)**2*-4)*-1 + -4.\nAnswer: -8*sqrt(19) + 4860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*(sqrt(204)*2 - sqrt(204)))\/(-1*sqrt(300)).\nAnswer: 2 + 3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3126.275 to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12205924.611826 and 9.8?\nAnswer: 12205934.411826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 3310755634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4487275.\nAnswer: 5, 13, 13807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 966 = 13*p - 2180. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 321 = -111. Suppose y = 17*m - 13*m. What is the smallest common multiple of m and 2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100183.\nAnswer: 100183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -7*v**6\/15 + 5*v**3\/6 - 8*v + 8. Let h(a) be the first derivative of z(a). Find the second derivative of h(q) wrt q.\nAnswer: -168*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*m + 30 = -22*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 12:21 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75810 and 160069205.\nAnswer: 1805","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2) - (-5 - 6\/(-4)). Let j(l) = -l**2 + 3*l + 3. Calculate j(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361154.\nAnswer: 2, 359, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/69 in 3, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -507, -972, -1395, -1776, -2115, -2412, -2667?\nAnswer: -2880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 9, o: 11}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -84810 divided by -5\nAnswer: 16962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3, -561, -233?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - sqrt(130)*-3)\/sqrt(10)*-2*1.\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -18. Let n(l) = -l + 8*l**2 + 3 - l**2 - l**3 - l**2. Is n(r) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -99bc5 - 1?\nAnswer: -99bc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 56 = 4*p, n - 5*p - 46 = -p. Let r be (-6)\/14 + 1\/(14\/n). Is -7 + r - (-10 - 740) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001 (base 2) to base 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -74, 1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/9)\/(1\/(-9)). Suppose p*m + m = 52. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)*h\/(h\/(h\/h**(-2\/11))))\/(h**(1\/2)*h**5) assuming h is positive.\nAnswer: h**(-227\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 - 0. Let y(o) = -o**3 - 104*o**2 + 703*o + 4735. Let r be y(-110). What is the second smallest value in n, r, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -27972290.\nAnswer: -27972290.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/104 and 137\/4524.\nAnswer: 9048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 76 and -0.12.\nAnswer: -9.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*p - 20*p - 15*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16215035 + 22?\nAnswer: 16215057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -3 (c) -6.7 (d) 2170.62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*z - 6 + 6 + (-z + 4*z + 0*z)*(-3 - 4 + 4) + 180*z + 83*z - 141*z as y + o*z and give o.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -332\/5 - -66. Is 22 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0453 + 0.059. Let q = z - -3.2563. What is q rounded to one decimal place?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 0.197?\nAnswer: -0.697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.0195*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1208*j**6 - 2*j**2 + 111*j + 9 wrt j.\nAnswer: 144960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/2, -4, -4\/1249?\nAnswer: -4\/1249","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.022668112+1016.446\nAnswer: 1016.468668112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.1 - 0.1. Let y = 16253.03 - 16253. Which is the nearest to 2\/5? (a) j (b) y (c) 4\/7 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1)\/((749\/535)\/(38\/10)).\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40120 (base 5) in base 13?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 11. Let n(c) = 5*c**2 + 8*c - 11. Let j be n(a). Let m be (j\/8)\/(19\/76). Calculate the greatest common factor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33 - -13?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16.55 + -0.55. Which is the third smallest value? (a) 2\/11 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 + (38 - -169) + (-210)\/(-21)?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 412189176 divided by 2072\nAnswer: 198933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 11*u - 1. Let t be n(8). Let x be (-10 - t\/2) + (-1)\/(-2). Solve 24 = 9*k - x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 545*i**3 + 52*i**2 + 13*i - 564. Let d(a) = -136*a**3 - 12*a**2 - 3*a + 141. Let j(k) = -26*d(k) - 6*s(k). Differentiate j(h) with respect to h.\nAnswer: 798*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 22?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*r + 2 = 2*r, 2 = -2*y - 3*r. Suppose 0 = u - 4. What is the nearest to 0 in -0.5, y, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5429, 0, 3243 in increasing order.\nAnswer: 0, 3243, 5429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 21 + 6)*(-4*z + 0 + 0) - 2*z - z + 4*z.\nAnswer: -67*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**4\/13 + 898*o**3\/13 + 2156*o**2 - 95808*o\/13 - 6693120\/13 = 0.\nAnswer: -415, -24, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19.4? (a) -2\/17 (b) 3.7 (c) 82\/5 (d) 0.1 (e) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 233 - 210. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from dwwzwwjzd?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349 = l - 5*f + 344, 0 = -14*l + 6*f - 0 + 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1547000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98)*1 + 4 - (3*(4 + sqrt(98)) + sqrt(98))) + 4*5*1*sqrt(98)*3)**2.\nAnswer: -6384*sqrt(2) + 318466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 b when three letters picked without replacement from {y: 5, b: 3}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/8)*b)\/(((b\/((b\/(b\/(b**(-2)*b)))\/b*b))\/b)\/b)*(b\/b**2)\/(b\/b**5))\/(b\/(b**(2\/11)\/b)*b**(-1\/2)*b**(1\/5)\/(b*b**(-2\/3))) assuming b is positive.\nAnswer: b**(3881\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -12 + (9 - 5).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 - -0.3. Let l = 0.16 + 0.84. Let r = l - w. What is the nearest to -2 in -3, r, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 904.034 micrometers to centimeters.\nAnswer: 0.0904034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6627 - -7571. Calculate the least common multiple of 4 and o.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a second in milliseconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 610 or 612?\nAnswer: 610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 521, 570 in descending order.\nAnswer: 570, 521, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/5 or -2\/37?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 945 times -251?\nAnswer: -237195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-6\/5)*h**(-14\/9)\/h assuming h is positive.\nAnswer: h**(-169\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -609\/10 + 121\/2. Let a = 3 - 4. Put j, 2, a in decreasing order.\nAnswer: 2, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*i - 6 = 0, -3*w - 4*i = w - 12. Let u be (14\/(w - 2))\/2. Suppose 3*l - 3*x = 42, -u - 6 = -2*l + 5*x. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/3458398 and -25\/8.\nAnswer: 13833592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3\/3 - 328*b**2 + 332*b + 1976\/3.\nAnswer: -4*(b - 2)*(b + 1)*(b + 247)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 129319859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**4\/12 - r**3\/3 - 8*r**2 + 6*r. What is the units digit of u(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -26. Let s(v) = v**2 - 16*v + 129. Let g be s(18). Let l = g + -170. Which is the third biggest value? (a) l (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 123, 1087, 3767, 9021, 17707, 30683, 48807, 72937?\n\"Answer: 143*f**3 - 37*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 68*s + 1319. What is w(-47)?\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*a**2*z**3 - 26935*a**2 - 908*a*z**3 - 3*a*z + 3*z**3 - 4*z**2 wrt a.\nAnswer: 20*z**3 - 53870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6b6 + -5?\nAnswer: 6b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**4\/2 - 10809*h**3\/2 - 18072471*h**2\/2 - 10901250019*h\/2 - 1120026096678 = 0. What is h?\nAnswer: -8916, -631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 5*l**2 + 4*l - 3. Let v = -16 - -12. What is d(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - 330\/(3 - -3))*-4. Solve 0 = i*b - 197*b - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 169135 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 3:53 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 7 - 7 + (-2 + 4 - 3)*(6*u - 4*u + 0*u))*(-2*u**2 - 2*u**2 + 7*u**2)*(0*u**2 + 5*u**2 + 0*u**2).\nAnswer: -90*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1311*b*q**4 - 90*b + 2*q**4 - 4 wrt q?\nAnswer: -5244*b*q**3 + 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5031)\/(-6435))\/(104\/1430).\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**2 + 35*v + 110. Let o be d(-4). Let j(w) = -2*w**3 - 5*w**2 - 2*w - 2. Let g be j(-4). What is the highest common factor of o and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-194)\/(-8))\/((-3)\/(-24)). Is 14 a factor of 4\/14 - c\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 2:27 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(156) + (6*1*sqrt(156) - sqrt(156)))\/((sqrt(108) - (-1*(2*sqrt(108) + sqrt(108)) - sqrt(108)))\/sqrt(9)).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -2*d**5\/5 + 4*d**2 - 2. What is the second derivative of t(f) wrt f?\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3548938042 to 3 decimal places.\nAnswer: -0.355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 8:46 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -96?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 28 = -3*s + n, 0 = 5*s - 4*n + 4. Suppose 0 + 2 = r. Solve s = -3*z + z + r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23131 (base 4) to base 6\nAnswer: 3221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -10. Is (g - 3) + (13 - -1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/11 (b) -6\/5 (c) 0.3 (d) 0.03 (e) -5 (f) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4855.6152 milliseconds?\nAnswer: 0.001348782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -802, -1610, -2416, -3214, -3998?\nAnswer: -4762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -9*b**3 - 12*b**2 - 6*b. Let s(v) = 2*v + 34. Let u be s(-14). Let n(o) = -26*o**3 - 35*o**2 - 17*o. Let m(l) = u*n(l) - 17*j(l). Factor m(d).\nAnswer: -3*d**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 21*i**3 - 2*i**2 - 2*i + 5. Let l(p) = -210*p**3 + 21*p**2 + 21*p - 51. Let m(z) = 2*l(z) + 21*s(z). Differentiate m(d) with respect to d.\nAnswer: 63*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 12*h - 11*h = -12, -3*h - 9 = -3*u. Suppose 0 = -4*l - 5*d + 325, -489 = -4*l + u*d - 140. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 - (9 - -80 - 35).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 5 = -4*z + p, -20 = -5*z + 4*p. Solve -14*i = -z*i + 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9292 + -9289. Solve 132*p = n + 131*p - 3, -3*n = -p + c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -290 - -295. Solve 21 = 4*m - 9*m + 4*a, -29 = k*m + 4*a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-180)\/(-40) - 2\/(-4). Let w be 16\/q + 2\/(-10). Put w, -7, -2, 0 in descending order.\nAnswer: w, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -1, 1, 163\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f - 2*f)*(-4*f + 39*f + 3*f) + 70 - 70 - 7*f**2.\nAnswer: -83*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 10*m - 9. Let g(o) = -7*o + 6. Let u(f) = -8*g(f) - 5*k(f). Let h(s) = -s. Let v = 9 - 5. Give v*h(j) + u(j).\nAnswer: 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73253124?\nAnswer: 2, 3, 7, 31, 9377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, a: 1, l: 1, p: 1, c: 3}. What is prob of picking 1 c, 1 a, and 1 p?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493 - 120 = 120*m - 467 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o + 73. Calculate l(28).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -142633 in decreasing order.\nAnswer: 2, -1, -142633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4990 and 23282342?\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 580 by 290.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 32*x**2 + 14*x + 15. List the prime factors of i(-7).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8626105?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -284, 2, -46, 1, 3 in descending order.\nAnswer: 3, 2, 1, -46, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 180, 257, 334?\n\"Answer: 77*i + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 249203690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 6*a - 315. Let h = -32 + a. Factor -10*t**4 + 5*t**5 - 5*t + 8*t - h*t + 10*t**2 - 5*t**3.\nAnswer: 5*t**2*(t - 2)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.88, 114, -6\/35?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -51*h**3 + 11*h**2 + 33*h + 5. Let s(r) = -25*r**3 + 5*r**2 + 16*r + 3. Let k(i) = 9*s(i) - 4*w(i). Is k(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -147 - -260. Let j be (-6)\/(-10) - i\/5. Let c(o) = -o**2 - o. Let g(z) = -2*z**3 + 11*z**2 + 11*z. What is j*c(v) - 2*g(v)?\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2767184*r**3 + 147*r**2 - 3399*r.\nAnswer: 16603104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 447 + -443. Suppose -4*w + 8161 = b, -w - c*w + 10175 = -4*b. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 - 40*j**3 + 65*j**2 - 30*j.\nAnswer: 5*j*(j - 6)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 29*w - 136. Determine f(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -18897b (base 14) to base 15\nAnswer: -12271c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = 11*y + 36*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -618.5 and -0.2.\nAnswer: -618.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -174 - -270. Let h = -252 + 155.94. Let s = n + h. Does -0.06 = s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 5*y = 0, 8*y = 6*y - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64985)\/(-2219) - 4*1\/14.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.8268081 nanoseconds?\nAnswer: 0.0008268081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 - 107*h + 523. Calculate c(64).\nAnswer: 1867","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -167 - -171. Which is the nearest to 1\/2? (a) -0.3 (b) w (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/4 + 1 + (-11)\/4. Find the common denominator of -71\/4 and -4 + y + 333\/84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165\/(((-1665)\/(-24))\/37*12\/(-15))?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 1) + 13 + (-12 - -27) + -51?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p + 4. Let q be 46 + -45 + -7 + 1. Put q, 0, -4, p in descending order.\nAnswer: p, 0, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8064\/(-11424)*(-68)\/3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5368 divided by 4?\nAnswer: -1342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 694907 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318815 is divided by 144.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (0 + sqrt(192) + 4)) + ((sqrt(192) + 1)*3 - sqrt(192))**2 - ((sqrt(192) - ((sqrt(192) + 2*sqrt(192) + 2 - sqrt(192)) + sqrt(192)))*5)**2.\nAnswer: -18527 - 1504*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 14. Let p be h(-15). Let u = 3 + p. Suppose -f + 3*l + 10 = 0, -8 - 22 = -3*f - u*l. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 11:48 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 620*s - 620*s - 8*s**2 - 3*s**2.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v - 2*v**2)*(2*v - 4*v + 0*v)*(-13*v + 9*v + 1 - 2).\nAnswer: -16*v**4 - 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5699, 8 in decreasing order.\nAnswer: 5699, 8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5187 + -0.561106. What is w rounded to 3 dps?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 10 + 35 = 0. Let s be 0 + 2 - (-5)\/z. Suppose -s*v = -5*p - 22 - 82, 5*p = 4*v - 132. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001774 rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*k, u - k - 1852 = -3*k. Suppose u = -14*l + 25*l. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/225?\nAnswer: -4\/225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -719, 5, 4, 15, 0, 3 in decreasing order.\nAnswer: 15, 5, 4, 3, 0, -719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 3. Let q be -6*(16\/y)\/4. Suppose z = -q, 3*b + 0*z + 8 = -4*z. Solve b = 2*k + 2*k - 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 9900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-33)\/(-24))\/((-4)\/48)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 - 8944*m\/3 - 8942\/3.\nAnswer: -2*(m + 1)*(m + 4471)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -311 - 177?\nAnswer: -488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -15. Suppose 0 = -9*n + o*n. Let w be 1\/6*-3 - n. Which is the closest to 0.1? (a) w (b) 2\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 205 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) 106\/15 (b) -0.09 (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 15120*t**2 - 15118*t**2 + 9*t + 2 + 95*t**3 + 11*t**3 + 334*t**3 - t**4 as g*t**3 + p*t**4 + v*t**2 + m*t + k and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -20*q - 1084200. What is q rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 + 29*s**2 - 13*s**2 + 2*s - 6. Does 19 divide z(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 997 - 315 = -m, 5*m = 3*g - 418. Let d = -96 + g. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2 - 2*y - 3. Let f be v(-1). Solve -r + 2*x = 3*r - f, 3*x + 10 = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + l + 60, 2*k + 5*l + 48 = 1. Let p = k + 5. Let v(a) = a + 8. Let m be v(p). Solve -5 = -4*n + 5*u, 2*n - 2*u = -4*u - m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 2\/27 (c) 0.05 (d) 118429.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x. Let h be ((-69)\/(-6) - 1)*2. Suppose -5*n - 1 + h = 0. Let l be v(n). What is the highest common factor of l and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - g - 172 + 40 = 0, g - 3 = 0. Let b = c - 9. Let q = b - 12. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*p + 213*p - 22*p + 3656 = 15*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 3\/4, 7.3, -1, -33320?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - t + 27. Suppose 5*k - 524 = -514. Let b be 1 - (2 - 2\/2). Suppose 0 = -k*j - b*j. Calculate r(j).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 526231*m. Let p(r) = -16*r + 1. Give n(p(g)).\nAnswer: -8419696*g + 526231","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 + -0.12. Let d = 2 + 3. Let s = 3913\/4 + -11743\/12. Sort d, l, s.\nAnswer: s, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -44, -17, 12, 43, 76, 111, 148?\n\"Answer: h**2 + 24*h - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**4 + n**4 - 3*n**4)*(3*n + 4*n + 4*n) - 2*n + 2*n - n**5.\nAnswer: -23*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, q: 1, c: 1}. What is prob of sequence kq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - z - 150. Let d be (-1)\/6 + 95\/z. Suppose -2*u - b = -25, -3*u - d*b + 63 = 2*u. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7470 divided by -3\nAnswer: -2490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (6*(-1)\/(-2))\/(27\/1089) and 66?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441*c**2 - 48*c**3 - 216*c**2 - 223*c**2.\nAnswer: -48*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0, 3, 1, 2 in descending order.\nAnswer: 3, 2, 1, 1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhhhhhhhhhhh. Give prob of sequence hf.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/19)*b**4*b*b*b\/(b\/(b**(-6)*b))*b*b*b**(-3)*b*b)**(-2\/37) assuming b is positive.\nAnswer: b**(-72\/703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -448 - -447. Let s = -1.5 - -1.5. What is the nearest to 2 in s, 1\/6, u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h**2 - 12*h + 7. What is u(-8)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a century in years?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 52761 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1047, -2\/13, -4826\/3.\nAnswer: -4826\/3, -2\/13, 1047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Suppose 3*g + 23 - 35 = 0. Suppose -3*w - g*w = -3*w. Solve 2*k + w = -p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence teee when four letters picked without replacement from {m: 6, e: 5, t: 4}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 6*k - 15. Let i = -1 - k. Which is the closest to 0? (a) -5 (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, c: 2, a: 2, z: 2, k: 4}. What is prob of sequence kk?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(65)*-5 + sqrt(65) - sqrt(65))\/(1*sqrt(500) - sqrt(5)).\nAnswer: 10*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 172 = -3*c. Let d = c + -31. Is (19\/(-4))\/((-3)\/d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111 - -453. Let o = 574 - p. Let d(h) = -h**3 + 10*h**2 + 3*h - 9. Determine d(o).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -216117*f**2. Let g(l) = 11*l**2. Determine g(m(p)).\nAnswer: 513772134579*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 9\/4)*-4. Let x = -555 + 590. Calculate the greatest common factor of l and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/265720 and 87\/1888.\nAnswer: 62709920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16004 (base 9) in base 15?\nAnswer: 3394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 4*k - 16. Let q = k - -16. Calculate the remainder when q is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*w + 46 = -4*c, w + 8 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2880 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 290 (b) -0.13 (c) 1928\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3438 - 59 = -22*n - 247*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*x + 13281 - 271 = -73 for x.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5444030?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30628 = -32*a + 21180. Let w(t) = -3*t + a + 5*t - 1622 - 4*t. Suppose -2*g = -0*g + 10. Determine w(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 229.\nAnswer: -2\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1529 + -0.0971. Suppose -7 + 2 = 5*h. Which is bigger: f or h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-42)\/9*996\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 10*f + 8. Let g be i(-11). Let q be g - (1 + (-21930)\/(-39)). Let h = q + 160703\/286. What is the common denominator of 1\/10 and h?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -313, -623, -945, -1285, -1649, -2043, -2473?\nAnswer: -2945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + u = -x + 106, 3*x - 5*u = 86. What is the remainder when 86 is divided by x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2\/(-4)) + 552\/(-672)*-14?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 8:22 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 7*f. Let g be w(7). Suppose -2*a - 3*t + 9 = 0, g = a - 0*a + 2*t - 7. Let q = a + 18. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -8*c**2 - 27*c - 33. Let v be k(-10). Let w = -310 - v. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*r**2 - 6*r**2 + 12*r**2 + (r + 4*r - 4*r)*(13 + 14*r + 9 - 26).\nAnswer: 28*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 192 - 3*w - 9 - 173 - 10. Let b(p) = -1818*p**2 - 2. Determine s(b(k)).\nAnswer: 5454*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*a - 5 = -3, 0 = -4*a + 12. Let h(z) = 0*z + 3*z - 3 + z**2 - 4 + 1. Let t be h(w). Solve l = p + p + t, -8 = 4*p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -554058 - 8*q + 2*q + q**2 + 554058.\nAnswer: q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 - 3*j + 48*j**2 - 42*j**2 + 10*j - 5. Let o(i) = -4*i**3 - 11*i**2 - 13*i + 9. What is -6*o(r) - 11*t(r)?\nAnswer: 2*r**3 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -2538258441834.5?\nAnswer: -2538258441834.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 3*n + 2 = 0, 2*a - 7*a + 5*n - 10 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 1 - 1)*(2*d**2 + d**2 - 8*d**2)*(-87*d - 361*d - 78*d).\nAnswer: 2630*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 250, 489, 718, 931, 1122, 1285, 1414, 1503?\n\"Answer: -q**3 + q**2 + 243*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 12 = -2*f - 6*j, -f - 16 = 5*j. Suppose 5*a = 0, 0*s - 5*a - 28 = -f*s. Calculate the remainder when (0 - -2)*(-19)\/(-2) is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19 - 11 - -46*(-2)\/12. What is the third smallest value in m, -2\/7, 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -635*g**2 - 2*g + 654 wrt g.\nAnswer: -1270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4339 - -4343. Let o(r) = 4*r**3 - 3*r**2 - 3. Let z(w) = 5*w**3 - 3*w**2 - 4. Determine p*o(c) - 3*z(c).\nAnswer: c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbff when four letters picked without replacement from {f: 3, b: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 2. Let l be x(-2). Suppose -2*g + y + 3 = 0, 2*y + 10 = -l. Let q(i) = 6*i + 4. Let a(v) = -4*v - 3. Let h(d) = 4*a(d) + 3*q(d). Determine h(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1161 and 2862.\nAnswer: 123066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*v**5 - 19*v**4 + 3*v + 366.\nAnswer: 200*v**3 - 228*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1782 and 1.0162917964.\nAnswer: 1783.0162917964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5894917 + -3065764. Let j = 4405264 - -1965583. Let l = q + j. Round l to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 3. Let c(v) = 0*v**2 + 6*v - v + 9*v**2 + v. Let u(s) = 8*s**2 + 5*s. Let x(r) = g*c(r) + 4*u(r). Find the second derivative of x(j) wrt j.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -778*t**2*v**3 - 2*t**2*v**2 + 30*t**2*v - v**2 wrt v?\nAnswer: -4668*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-31)\/(-4))\/(2 - (-15)\/(-8)). Let i be -23 - (w\/(-22) + (-8)\/44). Let n be (-1 + 1)*10\/i + 3. Solve -4*t - 4*g + 13 + 3 = 0, n*t - 5*g - 20 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3170009829 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 363719, -4 in descending order.\nAnswer: 363719, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 43d (base 16) to base 2\nAnswer: 10000111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17073405 is divided by 1356?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 2*q + 9, -18*q + 14*x - 21 = 17*x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-4) + 35\/(-28). Let n = 1 + 0. Sort t, n, 3 in descending order.\nAnswer: 3, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, n: 3, o: 3, g: 2, p: 6}. Give prob of picking 1 o and 2 p.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 10:40 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5\/5 + 4*q**4\/5 - 4*q**3\/5.\nAnswer: -q**3*(q - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1476 in -41, 1, -0.3, -2, 3\/5?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 12 = -3*n. Suppose 16 + n = -9*h. Put h, -8, 1, 5 in descending order.\nAnswer: 5, 1, h, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4 = 4*b, -4*z = -0*z - b + 37. Let s(u) = -5*u - 32. Let a be s(z). Let y(x) = -8*x - a - 6*x + 8*x + x**2. Calculate y(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -4\/3*s**4 + 64\/3*s**2 + 4*s**5 + 128\/3*s - 200\/3*s**3 + 0 = 0.\nAnswer: -4, -2\/3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 10*f**2\/13 + 56092054*f\/13 + 22436820\/13 = 0.\nAnswer: -5609205, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83 - -51. Let s = q + 38. What is the greatest common factor of s and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**3 - 13*s**2 + 18*s + 3. Does 51 divide p(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 780*r + 3662 + 2578 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16913503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g**4 + 150*g**3 + 170*g**3 - 78*g**3 + 2*g**4 + g**4)*(-1 - 5 + 2) as q*g + p + l*g**4 + m*g**3 + u*g**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*m = 908*m + 1057 - 14306 - 25911 for m.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3999834 is divided by 5602.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 285410*r**3 - 2*r**2 - 2*r + 1570 wrt r.\nAnswer: 1712460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3545912.0371 + -3545729. Let t = d - 165.037047. Let q = t + -18. Round q to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * 24495\nAnswer: 489.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*v - n - 3*n, -3*v + 2*n = 12. Let f(t) = -t**3 - t**2 - t - 2. Let r be f(v). Factor -r - 3*s**3 - 45*s + 0*s**3 - 23 - 21*s**2.\nAnswer: -3*(s + 1)*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12, 6, -3 in ascending order.\nAnswer: -5, -3, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -680, -1846, -3714, -6224, -9316, -12930?\n\"Answer: 10*f**3 - 411*f**2 - 3*f - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-9)*-2*1\/4\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92 - -33. Find the common denominator of -37\/16 and p\/132*5*18\/210.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 510789*q**2*w**4 - 18*q**2*w**3 - 11*q**2 - 315*q*w + 1927 wrt w.\nAnswer: 6129468*q**2*w**2 - 108*q**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 6\/5 (c) 0.038\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -2, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 740 divide 73824588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 15) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -8*b**3 - 20*b**2 + 37*b + 90. What is the tens digit of c(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + z + 5. Let o be r(0). Let h(a) = a**3 - 22*a**2 + 2*a - 42. Let t be h(22). Let u(l) = -l**2 + 8. Let v be u(t). Solve v*s - o*s = -1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 811780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7370 and 70195565.\nAnswer: 3685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4273 - 3?\nAnswer: -4276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.065 + -3.635. Let c = j + 4. Let z = -503 + 508. Put c, 0.5, z in ascending order.\nAnswer: c, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 4*w**3 + 2*w**2 - 4 - 3*w**3 - 3*w. Let i be q(-4). Let k(u) = -2*u + 2. Let s = 199 + -202. Let o(p) = 5*p - 5. Give i*k(n) + s*o(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1008, -2015, -3022, -4029, -5036, -6043?\n\"Answer: -1007*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/15 - 74\/(-40))*(-144 + 132).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-12)*(-734)\/(-1835)*3\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 259, 326, 511, 874, 1475?\n\"Answer: 10*f**3 - f**2 + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1348*q + 1453*q = 0. Which is bigger: q or 6\/3155?\nAnswer: 6\/3155","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from xxfsfsxsfssf?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**3 + c**2 - 8*c. Let w(j) = -11*j**3 + j**2 - 17*j. Let f(r) = -9*d(r) + 4*w(r). Let a be f(4). Is 0 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p - 1. Let h(c) = 2*c**2 + 30*c + 14. Let j be h(-10). Let q = j + 62. Let g be (q\/36)\/(1\/9). Determine v(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212174 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, y: 2}. Give prob of sequence ynnn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -3 + 2 + -5. Let o(x) = x**2 + 5*x + 5. Does 3 divide o(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617715?\nAnswer: 3, 5, 7, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -558 by -3.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009203 to 6 dps.\nAnswer: -0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 2, -0.178?\nAnswer: -0.178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 25 = -j, -6*z + 2*z = 5*j - 65. Suppose z*i + 245 = 15*i. Suppose -3*v + 0*v + 75 = 0. What is the remainder when i is divided by v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**7\/2520 + s**6\/540 + 37*s**3\/3 + 24*s. Let l(w) be the second derivative of v(w). Suppose l(h) = 0. Calculate h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 6*l + 1. Let h be v(6). Let c = h - 1. Suppose 2*g + 0 = 4. Solve 2*t - 9 = -g*k + 3, c = k - t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v. Suppose 0*k - 3*k = v. Let d = -43\/3 + 14. Is d greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 + 233*r.\nAnswer: -r*(r - 233)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2473516?\nAnswer: 2, 47, 59, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 5*d**4 - d**3\/3 - d**2\/2 + d + 5. Calculate the remainder when j(1) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 66665120 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*i - 30108 = -4*b - 114*i, 3*b - 22583 = -2*i. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 934 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -30\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a decade in years?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 2:41 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (0 - (8 - 1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459037 less than 2459158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.7 + -5. Suppose 2*x + g = 0, 0*x - 2*x + 2*g = 0. Let h = 5\/12 + x. Sort p, h, -4.\nAnswer: -4, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*t - 3*t + 20 = 0, 0 = -3*m + t + 10. Sort 1, m, -2 in descending order.\nAnswer: m, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 159 or 158?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -202927 greater than -811709\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r**3 + 35*r + 8. Let w(z) = 4*z**3 - 23*z - 5. What is 5*d(y) + 8*w(y)?\nAnswer: 2*y**3 - 9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10263.874 - 1.\nAnswer: -10264.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + h - 175, h - 47 + 259 = 5*v. Suppose w - 3*y - 240 - v = 0, 2*y - 1415 = -5*w. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 702 and 12.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6583101 and 1729.\nAnswer: 85580313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fnnf when four letters picked without replacement from {x: 3, f: 7, n: 8}?\nAnswer: 49\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**4\/8 - x**3\/6 - 37*x**2. Let j(t) = -t**2 - 16*t - 5. Determine -2*j(l) + 11*p(l).\nAnswer: 2*l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -32, 3, 4, -2, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 3*j + 0*j)*(-2*j**2 + 2*j**2 - j**3) + 2*j**4 - 2*j**4 + 2*j**4 - 2*j**4 + 3*j - 3*j - 89*j**2 + 89*j**2 - 18*j**4.\nAnswer: -22*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwffww. What is prob of picking 2 w and 2 f?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 14320?\nAnswer: -1432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2\/5)\/c)**26)**50)**1 assuming c is positive.\nAnswer: c**(-1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.93 - 0.07. Let j = -18 - x. Let i = 9 + j. Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -187, -362, -537?\n\"Answer: -175*h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 13*n**2 + 2*n - 16. Let p be j(13). Let m(t) = -91*t**2 + 10*t. Let r be m(p). Round r to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h**2 - 4*h**2 + 11*h**2 - h + h - h**2 + (2*h**2 - h**2 + 0*h**2)*(2 + 0 + 0) + 3*h**2 - 3*h**2 - h**2 to the form a*h**2 + c + m*h and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -36774482 divided by -1?\nAnswer: 36774482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6267175?\nAnswer: 5, 250687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/64 and 7\/48?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t + t + 0*t)*(48 - 3 + 124 + 33 - 14) as u*t + b and give u.\nAnswer: -564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**3 - 3*z**3 - 1 + 1.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x + 25*x + 6 = 9*x + 4*l, 3*l = -17*x + 60 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.00619 + 84.95381. Let w = z - 85. Sort 1\/3, w, 0.1.\nAnswer: w, 0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 233*u**2 - 890*u + 98856. Calculate d(231).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = h - 57, -128 = -5*h + h - 4*w. List the prime factors of h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 10*q**2 - 8*q - 32. Let h be z(-11). Let p = 179 - h. Solve x + 5*m - 19 = 0, -p*x + 6*m - 14 = 3*m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t. Suppose -68*p = -78*p + 1520. Let a(i) = -14*i + 11*i - 3*i - p*i**2 + 6*i. Give j(a(o)).\nAnswer: -304*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.5 - -10. Let n = 16.4485 - l. Round n to three decimal places.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 4, 8, -4, 5, 55, 3 in decreasing order.\nAnswer: 55, 8, 5, 4, 3, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7945 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102982817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wx when two letters picked without replacement from wxxwwwxxxxxwxwxwxx.\nAnswer: 77\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jww when three letters picked without replacement from wjw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 minus -12?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/195*(-445)\/267.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 + 208?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (207\/12)\/((-6)\/(-16)). Suppose d - 7 = -5*x + p, 0 = x. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520*o + 9 = -513*o - 5. Suppose 3*n - 18 = -3. Sort o, 4, n, -7 in ascending order.\nAnswer: -7, o, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 s when two letters picked without replacement from gkkusguo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5687864 divided by 1352\nAnswer: 4207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*u + 2. Suppose 2*v + u*v = -4*k + 668, 5*v - k = 859. Calculate the highest common factor of 19 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 4. Let u(c) = -1 - 1 + x - 2*c. Determine u(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, 26, -0.4, 3, -432?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -105?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 76391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 209 (base 11) to base 14\nAnswer: 13d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, m: 2, q: 3, r: 1, y: 8}. Give prob of picking 1 r and 1 q.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -15*k + 638. Let r be u(42). Calculate the highest common divisor of r and 3092.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/4)\/((-3)\/(-4)). Let u be (w - 0) + (-6 - -8). Suppose -5*c + 0*c + 90 = u. Calculate the remainder when 53 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288076\/4*(-8 + 6)*4\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -852\/31 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144\/(-432) - (-2091)\/9 and 48.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-25)*400\/(-160)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35784 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86661\/28 - 22528\/7. Let v = p + 124. Which is the second smallest value? (a) 1 (b) v (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526401 is divided by 2543.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 2:13 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*8\/60*40. Let o = 18 - j. Solve -o*f = -4*f - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**2 - 14082*h + 669024 = 0. Calculate h.\nAnswer: 48, 4646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f + 2 - 5*f + 0. Let g be (-17 - -7)\/(4 - 2). Determine i(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(5) - sqrt(5)*-1))**2*-2.\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3838337 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 2*b. Let i be (-9)\/(-30)*(-8)\/12. Is b at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*u + 89*u**2 + 29*u - 15*u)*(-16*u**3 + 35*u**3 - 8*u**3).\nAnswer: 979*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28244 divided by 12.\nAnswer: -7061\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(4\/7)\/(t\/(t*t**(-1))) assuming t is positive.\nAnswer: t**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3989 - 7) + 5 - (1 - -2). Suppose -v = 5*w + v - 6659, 3*w + 5*v = x. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: -41+-9535592918\nAnswer: -9535592959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -75*n**3 - 3*n**2 + 3*n. Give a(1).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64286850*v**3 - 910576*v**2 + 24*v wrt v?\nAnswer: 385721100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -1897, -0.5 in increasing order.\nAnswer: -1897, -0.5, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - i**2 + 10*i + 5. Determine z(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -7310.832 to the nearest ten.\nAnswer: -7310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 + v**2 - 3*v**2 - 2*v**2 - 2 + 3*v. Let z be k(4). Let o be z\/(-4) + 1\/2. What is the nearest to 1\/6 in 1\/4, -0.2, o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1 + -1.1. Let w = 5 - h. Let m = -0.3 + 0.4. What is the biggest value in m, w, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 5615 (b) 31 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ek when two letters picked without replacement from icivivviveveyik?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/2251 in -14, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 3*m - 9, 3*j = -4*m - 81 + 59 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 372.9548l in millilitres?\nAnswer: 372954.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75151237 by -631523.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.5*-10.1.\nAnswer: -45.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -93, -213, -381, -597, -861?\nAnswer: -1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 169*p - 516. Determine s(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*k + 292*t - 290*t - 26, 0 = 5*k + 3*t - 40 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -17. Sort 6, p, 2, 3 in descending order.\nAnswer: 6, 3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1388*c + 8374 = -1230*c for c.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 11*x - 6. Let m be i(9). Let v be (-1 - -4) + (-34)\/m. What is the nearest to 1 in -2, 2\/9, v?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -41*p + 360. Let h be a(0). Calculate the greatest common divisor of h and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -72*f. Let z(b) = b. Let a be 0 - ((-28)\/(-266) - (-80)\/(-38)). Let o(h) = a*w(h) + 126*z(h). Let i(r) = 4*r**2. Calculate i(o(k)).\nAnswer: 1296*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**4\/12 - 3*j**2 - 2*j. Suppose -5*l + 11 = -49. Suppose -5*q + 9 = -q + 3*m, q + l = 4*m. Determine r(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 2236?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = f - 32 + 2, 5*u + f - 170 = 0. List the prime factors of u.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 - 106*w**3 - 5*w**2 + 217*w**3 + 191*w**3 to the form g*w**2 + o*w + c + d*w**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 66440071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -73623612.\nAnswer: -73623612.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 14*k + 2. Let d(c) = c**2 + 18*c + 79. Let p be d(-5). Give x(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-5)\/(-15) + -1 + 7*(-6216)\/(-441)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.1 + -4.4. Let d = 4.79 + 0.21. Let b = d + n. What is b rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/273, 0.4, -1\/4, 3\/7, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 - (-73 - (-18 - -23)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - k = 17 + 11, 5*b - 4*k - 49 = 0. Does 18 divide 6\/b*2*27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*2 + (7 - (-276)\/(-24))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 3:28 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -6. Suppose -69 = -3*h - 5*a, c*h - 6*a = -4*a + 90. Suppose 5*x = y + 128, 2*x - 2*y - h - 20 = 0. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 146 - 86*g**4 + 146 - 294 + (-g + g + 2*g)*(-2 + 2 + g**3).\nAnswer: -84*g**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15210 and 222066?\nAnswer: 1110330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -c + b, b - 1 = 4. Let x be 3*(-10 + (-407)\/(-66)). Is x >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -19*c - 967. Let j be u(-51). Suppose 3*s = 49 - 58. What is the smallest value in 0.1, s, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*s - 15*s - 800. Let p be (-1)\/(-2) + 4\/8. Let o = p + 10. What is the remainder when s is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2063148 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/16*15*(-12)\/(-150).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77 + 14*w - 70 + 2*w**2 - 51*w to h*w + a + s*w**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.15, -0.4, 0.09, -3 in descending order.\nAnswer: 0.15, 0.09, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(1053) + 0)*-6 + (sqrt(1053) - ((-4 + sqrt(1053) + 1 - sqrt(1053)) + sqrt(1053))))**2 - (1 + sqrt(1053)*-1 + 5)).\nAnswer: -227466 + 1890*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, l: 1, b: 13, t: 1}. What is prob of sequence bb?\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 317 = -1193. Let u = h + -36. Does 27 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1633309?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/6 + (-10)\/(-4). Let h(w) be the first derivative of -2*w - 8 - 3*w**3 + 2*w**3 + 5*w + p. Factor h(k).\nAnswer: -3*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*c - 26*c + 40. Let t(v) = -v**3 - 3*v**2 + 5*v + 1. What is t(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 317*f - 34862. What is r(110)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 + -15 - (30 + 57)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 297 and 15178542.\nAnswer: 15178839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y - 7. Let j be s(5). Suppose j*q = q. Suppose o - 11 - 1 = q. What is the remainder when 35 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3304 and 4352.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 197956 divided by -11.\nAnswer: -17996","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 l when four letters picked without replacement from alallalaallaallaala?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.058 + 8.058. Sort -0.5, 1\/3, l, 18.2 in ascending order.\nAnswer: l, -0.5, 1\/3, 18.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*t + 10*t. Suppose t*a + 2*m - 164 = -3*a, 2*m + 142 = 4*a. What is the remainder when a is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 94756636.\nAnswer: -5\/94756636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(121))\/sqrt(11).\nAnswer: 1 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -1\/6 (c) 0.5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -249500 rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 515922 by -316.\nAnswer: -257961\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4375528 divided by 1093882?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2 + 4*k. Let a be z(-10). Is 14 a factor of 4\/(-1) + a\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/45 + (-610)\/(-75) + -10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 11:31 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y**(2\/7)*y*y*y)\/y)*y)**(13\/4) assuming y is positive.\nAnswer: y**(-13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 406821389?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35580 is divided by 1225.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjn when three letters picked without replacement from {o: 1, q: 1, j: 2, n: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29)\/(-5075)*-50)\/((12\/(-518))\/(-3))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 14, -5, -2\/7, -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95384792 to the nearest integer?\nAnswer: 9767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 764*c + 70170 + 12342 = 0 for c.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**5\/5 + 5*a**4 - 33*a**3 - 10*a**2 + 100*a + 46. Solve x(y) = 0.\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3 and 6922\/4181 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2131 is divided by 127.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 74*g + 77. What is the remainder when h(-37) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**6\/10 - 27*x**5\/5 + 93*x**4 - 320*x**3 - 4608*x**2 + 2334*x. Suppose n(b) = 0. Calculate b.\nAnswer: -2, 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 17)*7\/(105\/40). Calculate the least common multiple of 8 and -62*(-6)\/16 + (-30)\/c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 11*h - 10. Let q = 22 - 12. Let j be v(q). Suppose -3 = -3*i + a - 4, 4*i - a = j. Solve 2*u - i = -5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 21\/8 of a second?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 856 + -855. What is the remainder when (-1717)\/(-51) + v\/3 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -2559*x + 2561*x + a, -5*x - 119 = 11*a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**5\/5 - 34*u**4\/5 - 5406*u**3\/5 + 164296*u**2\/5 - 813667*u\/5 + 130962 = 0.\nAnswer: -73, 1, 5, 23, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 0 - 4. Let q = 0 - 0.5. Which is the third biggest value? (a) f (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.3, -4, -1\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -88*q**3 + 2*q**2 - 7*q + 1. What is the hundreds digit of d(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -101 + 101. Solve -y + 0*y + 1 = l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 0.09846 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*v + 50 + 57 = -22*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = -5*u - r, u - 13*r + 33 = -16*r for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (13 + -17 - -10) - 31?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -y + 25 + 1, 4*y = -4*j + 8. Suppose -3*n = -21 - 6. What is the remainder when n is divided by (1 + 2)*(138\/18 - y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 530*n + 13. Let y(a) = -a - 2. Let u(c) = 6*y(c) - z(c). What is the units digit of u(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22686385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96820 + 0.03767.\nAnswer: 96820.03767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*q - 80 = w, -2*q - 64 = -2*w. Suppose -2*t + 0*t + w = 0. What is the remainder when 57 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 18*r**2 - 34*r - 4. Let g be j(16). Let o = g - -1. Let x be (2\/4)\/(o\/(-280)). Solve x*d - 17 = l - 1, 2*d + 6 = -3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -81*n**4\/8 - 75*n**3 + 53*n**2 - 12*n - 653. Factor o(g).\nAnswer: -(g + 6)*(9*g - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20692546 to the power of 1\/2, to the nearest integer?\nAnswer: 4549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + 6)*2\/4. Suppose w - 13 = -2*i, -28 = -v*i - 3*w + 2*w. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 6*f + 4. Let z(l) = l**2 + 7*l. Let g be z(-6). Let q be c(g). Solve a - 2 = q*v, -2*a - 3*v - 8 = -1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k + 15872948 - 15872488 = 0 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -0*x + 30. Find the third derivative of -11*i**2 + 7*i**2 - i**x - i**6 - i**2 wrt i.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5152.4 + -4770. Let h = o + -385. Which is greater: -7\/2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/(-2277)*(-1 + -2) - (-962)\/46?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o**3 + 4*o**2 + 23*o + 27. Let y be s(-3). Suppose -3*z + 2*w - 432 = -11, 546 = -4*z - 5*w. Which is smaller: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 642 and 498930942.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/((((a\/(a*a**(-8)))\/a)\/a)\/a))\/a)**(1\/8)*a*a**20\/a*a**(-4\/11))**19 assuming a is positive.\nAnswer: a**(7999\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 68316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2426679 by 9.\nAnswer: -269631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111888 and 2534?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -k + 5*g - 20, -2*k - 5*g = -24 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -467*q**2*r**4 + 42*q**2*r + 32*r**4 + 342*r**2 wrt r.\nAnswer: -11208*q**2*r + 768*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3*-1)\/((-75)\/2800) is divided by 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (2 - 16\/4). Solve 10 = -v + q*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1854810 divided by -18?\nAnswer: 103045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 276307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -139, -569, -1271, -2245, -3491, -5009, -6799?\n\"Answer: -136*r**2 - 22*r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6049 is divided by 71.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000265692 rounded to six dps?\nAnswer: -0.000266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 268973590 divided by 2.\nAnswer: 134486795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-3\/7)*b)**17\/(b\/b**1*((b*b**0\/b)\/b)\/b) assuming b is positive.\nAnswer: b**(201\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2406?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98 - -48. Let n = -212 + w. Let j = 133 + n. List the prime factors of j.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544179413 to the power of 1\/2, to the nearest integer?\nAnswer: 23328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**3 + 4*g + 4. Let t(k) = -4*k**3 - 3*k - 5. Calculate -3*a(m) - 4*t(m).\nAnswer: 4*m**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15124135*k**4 - 61928094*k**2.\nAnswer: -362979240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8364.499 millennia to years.\nAnswer: 8364499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2422.11 to the nearest 100.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + (1 + sqrt(1584))**2 + sqrt(1584) + -2 + 1.\nAnswer: 36*sqrt(11) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/20*384\/108*9.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -2*u**5 + u**4\/6 + u**3\/6 - u**2\/2 + 4*u. Let n be j(-1). Round n to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m**4*y - 493*m*y - 90116*m - 688077373*y wrt m.\nAnswer: 8*m**3*y - 493*y - 90116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**2 + 1937676*v = 0.\nAnswer: 0, 968838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/343939 and -25\/2407573.\nAnswer: 2407573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -3*i + 12, 7*i - 2*i = 4*g + 22 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*8*4 - 0. Let w = s + -56. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749 is divided by 183?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 0 + 1 + 1)*(-2*d + 2*d + 4*d).\nAnswer: 4*d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*j*z**5 - 2*j*z**2 - 139*j*z - 3*j - 45*z**5 - 4*z**2 wrt z.\nAnswer: 660*j*z**2 - 2700*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1237.662l in millilitres?\nAnswer: 1237662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c - 7. Let a(l) = -476*l + 175*l + 126*l - 7 + 177*l. Suppose 0*q = -4*q - 28. Calculate q*x(g) + 6*a(g).\nAnswer: -2*g + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 684396636?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * 0.071894\nAnswer: -0.00575152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -w - 1, -2*w + w - 2 = 5*j. Let n(z) = -10064*z. Let a be n(w). Let q = 187808 - a. Round q to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007919 to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2455*q + 3164*q = 17725 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*q + 13. Let y be q - -6 - (5 + 0). Is (-4 - (y - 669))*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2826 - -4133. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1389384.1 rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 87*f**2 + 1514*f + 2688.\nAnswer: (f + 2)*(f + 21)*(f + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 658*x + 5. What is the hundreds digit of p(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1084*g - 28804. Give v(25).\nAnswer: -1704","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 142.02 - 1.02. Let s = 140.99929 - k. Round s to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9 + -1. Let u = -1 + 1.2. Let k = j + u. Which is the nearest to k? (a) -0.4 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u + 595 = 595. Solve u = 11*t + 36 - 58 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125 - 114. Suppose -i*g - 24 = -15*g. Solve c + a = 2 - g, 0 = a + 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 3 - 15. Let d be (0 + 2)*70\/a. Let r be (14\/d)\/((-4)\/6). What is the third biggest value in 0.4, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 - 21*x**2 - x + 106. What is the lowest common multiple of l(-10) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 989846\/(-633952) - 2\/(-8). Let d = -14267 + 25694865\/1801. Let u = j + d. Calculate the common denominator of 89\/24 and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19774273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2998, 2999, 3002, 3007, 3014, 3023?\n\"Answer: f**2 - 2*f + 2999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**4\/12 + 2*a**3 - a. Let f be y(12). Solve 0 = -3*n - f*n - 5*w - 22, 5*n = -4*w - 15 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2473758484?\nAnswer: 2, 113, 5472917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -111, -2373 in decreasing order.\nAnswer: 33, -111, -2373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 2*v**2 - 7*v. Let f be d(-4). What is the nearest to f in -2\/7, -0.4, -16, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**9\/1512 - l**8\/420 - l**7\/420 + 22*l**3\/3 - 40*l**2. Let s(n) be the first derivative of d(n). Factor s(g).\nAnswer: -2*g**3*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 694, 699, 708, 721, 738, 759?\n\"Answer: 2*a**2 - a + 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m - 4. Let i be y(1). Which is the closest to i? (a) 3\/2 (b) 7\/6 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 73.9 and 129.11.\nAnswer: 9541.229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -838, -700, -236, 716, 2318, 4732?\n\"Answer: 27*i**3 + i**2 - 54*i - 812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72 - 1180*d + 542*d - 2*d**2 + 564*d.\nAnswer: -2*(d + 1)*(d + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106.678 + -138.54. Round a to one dp.\nAnswer: -31.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2. Suppose z*x = 3*x - 51. Is 17 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -596705*u - u**3 - 7*u**3 - 597134*u + 1193839*u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 9*u + 51. Let w(f) = -19*f - 102. What is 13*r(j) + 6*w(j)?\nAnswer: 3*j + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/(-6) - -1) + 37 + (-807426)\/21924. Is -3 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-4 + 10 - 3). Let m be k*84\/22 - (-4)\/22. Solve -m*t = -t - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g - 2. Let z be r(-2). Suppose z*t + 3*u - 2*u = -19, 2*u - 17 = t. Let h = 19 + t. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 248 and 17484?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - b**2 - b + 2. Let a be z(0). Let t be (3 - (-2 + 7)) + a. Suppose 2*q - 2 - 8 = t. What is the remainder when 13 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 887730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - (0 - -5))*9\/(-9). Which is the third smallest value? (a) 0.03 (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*w - 10958 + 1533 = -191*w for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71332 is divided by 71236?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*k + 7*k + 8177. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**2*j - a**2 - 62*a*j**2 + 100 wrt j?\nAnswer: 2*a**2 - 124*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20411 in 7, -4, 1, 0.08?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -340 smaller than -341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 60 - 70 = 0. Solve -5*f = -u + 1, -5*f + u + 1 = c*u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -68, -134, -200, -266?\n\"Answer: -66*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 766305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19364 + 21929 = 95*s for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -2. Let q(g) be the second derivative of -g**4\/6 + g**3\/2 - g**2\/2 - 7*g. What is q(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jfkjskkjjfjfjkk. Give prob of picking 1 f, 1 k, and 2 j.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 28 (b) -3 (c) 4\/5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -70334 + 70334 + 527*d in the form x*d + z and give x.\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - 1 + 1 + (1 + 3 - 3)*(o + 4*o - 3*o) + 4 - 39*o - 1 + 66*o.\nAnswer: 30*o + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 6. Let s be p(-6). Suppose 4*w + s*w = 92. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0406 + -0.06\nAnswer: -0.0194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 96589343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 20021167 (base 8) to base 5\nAnswer: 2034000002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 2210784108070 and -0.297.\nAnswer: 2210784108069.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 2*a + 3. Let x be o(-3). Let t = -30228 + 362707\/12. Find the common denominator of t and 10\/x*303\/(-15).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2304571237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -9, 2557, -2 in decreasing order.\nAnswer: 2557, 5, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(90\/(-16)) + (0\/(-94))\/(-25)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.369414307 rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -414 - -15316\/37. Let l be -2 - (5 + (-9)\/((-36)\/(-32))). Is h bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*p + 145 + 128. Which is smaller: 11 or p?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1614253*u**2*v - 2*v + 2631507 wrt u.\nAnswer: -3228506*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 11:27 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17030*x**5 - 9*x**4 + 6*x**2 - 1099*x - 1?\nAnswer: 1021800*x**2 - 216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 8:23 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -41125 (base 6) to base 4\nAnswer: -1111031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -163 - -162. Let w be (28 - 26)\/(1 - (-18)\/(-22)). Put k, -2\/13, w in descending order.\nAnswer: w, -2\/13, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.2 - 10. Let a = -93 + 87.14. Let t = -5.9 - a. Which is bigger: t or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (3*(sqrt(162) - -2*sqrt(162)) - sqrt(162)))**2.\nAnswer: -576*sqrt(2) + 10384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - y = y, 0 = -2*p - y - 1. Let n = -6080\/29 - -120338\/203. Let l = 384 - n. Which is smaller: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -99 - -204. Let s be b\/6 - (-6)\/(-4). Suppose -g + 3 = -1. What is the highest common divisor of g and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 3*a + 2*h + 69, -a + h = -23. Calculate the remainder when 43 is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 402 divided by 25179\nAnswer: 134\/8393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**3*s**3 - 2*h**3*s - h**2*s - 59*h*s - s wrt s?\nAnswer: 6*h**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k - 9 = 0. Let r(y) = 4*y**2 - 4*y + 1. Let j be r(k). Suppose w = 2*q - 3*q + j, 4*w - 123 = -5*q. What is the remainder when 68 is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*4\/((-144)\/(-3)). Which is the closest to -1? (a) 2 (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -17*a**3 + a**2 + 2*a - 3. Let c be x(-2). Suppose 4*y - c - 251 = 0. Suppose -19*g + 16*g + y = 0. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 - -57. Put -0.3, r, 5, 3 in descending order.\nAnswer: 5, 3, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 3*j = -1554 + 1569, -5*j = -5*z - 25 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a - 11. Calculate l(8).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38033323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtw when three letters picked without replacement from dddxdwppxdxtpdtwxwxx?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.9 - 17. Let d = 1.1 + w. Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 4*s + 10 - 26, 11 = 4*g - 5*s for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 4 + 0)\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 6668?\nAnswer: 2667.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -21*j + 15, j = -8*c - 8032 + 7821 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 2*h**3 + 0*h**2 - h**2)*(6*h - 5*h**2 - 6*h).\nAnswer: -10*h**5 + 5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 23360 (base 7) to base 4\nAnswer: 1132010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 32*x - 6. Let i(s) = -4*s**2 - 63*s + 12. Let v(l) = 3*i(l) + 5*n(l). What is the lowest common multiple of v(-14) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4985 + -4980. Solve -11 = 2*b + w, h*b - w = -14 + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8083703.6 to the nearest one thousand.\nAnswer: 8084000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463*f - 467*f + 2*n = -32, -5*f = 5*n + 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -79*b**4 + 222*b**3 - 2*b + 101469 wrt b?\nAnswer: -948*b**2 + 1332*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -4 + sqrt(171) + 2)*-4 - (-1 + sqrt(152)\/(sqrt(8) - sqrt(72)\/(sqrt(9)*-1))).\nAnswer: -41*sqrt(19)\/2 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -620*g + 683*g = 17668 - 18172 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -219\/77 + 18\/7. Let r = -287\/24 - -91\/12. What is the common denominator of p and r?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.28192 nanometers in micrometers?\nAnswer: 0.05828192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 314297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 7*w**6\/120 - w**5\/20 - w**4\/24 + w**3\/3 + 2*w**2. What is the units digit of s(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1066439*g**3*k**3 + 146*g**3*k**2*m + g**2*k**2*m + 5206*g**2*k*m + 2*g*k**3*m - 1664*k**2*m wrt g?\nAnswer: -6398634*k**3 + 876*k**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1024, -981, -904, -787, -624, -409, -136, 201?\nAnswer: 608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 3. Let y be -5*(48\/10)\/(-2). What is the greatest common divisor of b and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 - 2*m - 9. Let y(o) be the first derivative of o**3\/3 + o**2\/2 + 4*o + 104. Calculate 2*x(r) + 5*y(r).\nAnswer: r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-11)*l)\/(l**9\/l))\/(l**(-7)*l*l**(-8)\/l))**(-15\/2) assuming l is positive.\nAnswer: l**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 938 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(12) + sqrt(432)).\nAnswer: -14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*-203.8224\nAnswer: 8.152896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -79*i + 29*i - 4300. What is the fourth biggest value in 2\/5, -2, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 908*v - 4971 - 42165 - 19344 = -200*v for v.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*g - 5*g - g)*(16*g - 5*g + 17*g)*(-2*g - 2*g - 6*g) to n*g + t*g**2 + l + i*g**3 and give i.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*7\/(-2)*(-44 + 42). Calculate the common denominator of (-8)\/36 + (-13)\/(-144)*s and -1\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1296)*-4)\/(sqrt(8) + 4*sqrt(48)\/sqrt(6) + sqrt(8)).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + 2*r**5 + r + (-2 - 2*r + 2)*(-r**4 + 2*r**4 - 3*r**4) + r**4 + r**5 - r**4 + (3*r**4 + r**4 - 2*r**4)*(0*r + 5*r - 2*r) + 3*r**5 - 2*r**5 - 3*r**5.\nAnswer: 11*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2. Let f(z) = -19*z + 8. Let s(q) = 14*c(q) + 2*f(q). Is s(-4) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 13\/26)*-169*(-532)\/1482?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 - 9*w + 9*w. Let c = 15 - 11. Let r(u) = -2 - 2 + c*u + 4. Determine r(n(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -700*b + 6295. Let y be r(9). Let h(j) = -j**3 - 4*j**2 + 2*j - 4. Determine h(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -1)\/5 - 0. Suppose 2*x - x - 5 = u. Sort -1, x, 3.\nAnswer: -1, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -260\nAnswer: -1\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + -33.5. Let a = -36 - k. Let l = 6.2 - a. Round l to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.40531 decades to centuries.\nAnswer: 0.040531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 1. Let p(b) = -3*b - 3. Suppose 4*v - 4 = 2*f + 16, 12 = -2*f. Let m(j) = j**3 + 5*j**2 + 3*j - 5. Let d be m(-4). Give d*p(o) + v*z(o).\nAnswer: 2*o**2 + 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 < 275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**4\/8 + 125*g**3\/4 - 6511*g**2\/8 - 7979*g - 16926 = 0.\nAnswer: -273, -4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4 + 1150*u**3 - 3432*u**2.\nAnswer: -2*u**2*(u - 572)*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5529695581*i - 423*i**3 + 5529695581*i.\nAnswer: -423*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 37, -1\/4, 5, 12752?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1424*v - 1423*v - 151376 = -4*m, -5*m + 189223 = 2*v. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1696760 is divided by 3729?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -2. Suppose b + 3*b - 9 = u, 0 = l*u - b - 6. Suppose 2*h - 2*w = 3*w - 10, 0 = -5*h - u*w + 6. Solve 0 = i - 5*j - 7 - 2, -i + 3*j + 5 = h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 1960780029787?\nAnswer: -1960780029787.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*x - 54321, 0 = -x - 4*g + 10103 + 754. Suppose 0 = 5*j + x - 775865. Round j to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 534*k - 47786. Determine a(89).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*h + 0)*(39 - 163 - 63) to the form t + s*h and give s.\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -848.24 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3054?\nAnswer: 2, 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**2 + 4*c + 3*c**2 - c - 1 + c**2. Let g(t) = -t**2 - 4*t + 1. What is 3*f(o) + 2*g(o)?\nAnswer: o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c - 1. Let i be w(4). Suppose 7*h - 8*h = -5*t + 3, 5 = 2*h + t. What is the third derivative of -x**2 - 2*x**2 + i*x**h + 3*x**2 + 13*x**3 wrt x?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11283\/193 - -105708846\/1351. Let j = d + -78482. Let p = j + 295. Which is the nearest to -1? (a) -1\/8 (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02 or -104271.4?\nAnswer: -104271.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2*-2*(-1)\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*m**2 - 3)*((2 + 1 + 2)*(0 + 3 - 2) - 4 + 5 + 0 + (2 - 1 - 2)*(2 - 5 + 4) + 5 + 2 - 5).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26001 - 25967 - 16*u**3 - 42*u**2 - 6*u - 76*u**2 wrt u.\nAnswer: -96*u - 236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0159 + 14.9841. Put 2\/5, 0.2, r in ascending order.\nAnswer: 0.2, 2\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 x when three letters picked without replacement from axxxxxxaxlaxa.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, c: 6, q: 1, b: 2, t: 2}. Give prob of sequence ucq.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12098\/(-4734))\/(69\/(-99))?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1393850 is divided by 7072.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 453 and 89543?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/53008480 and -137\/564?\nAnswer: 159025440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(3*(-2)\/12). Let l be (-4 - 6)\/p + 3. Let q be (l - 28\/(-12)) + 28803\/(-9). What is q rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89 + -46. Let g(f) = -351*f + 1448. Let t be g(4). Are t and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f**(-1\/2)*f))\/f)\/f)**(-28))**(2\/69) assuming f is positive.\nAnswer: f**(28\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -3605844.27 to the nearest 1000.\nAnswer: -3606000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15272 and 18.\nAnswer: 137448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4239877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y - 3*o = -21*y + 54, 0 = -3*y - 2*o + 49. Calculate the highest common factor of 75 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78 - -52. Let o = j + 16. Let u = o - -10.8. Round u to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1178473*j**3 + 2*j**2 - 2*j + 24627866.\nAnswer: -3535419*j**2 + 4*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1575, -4\/9, 3, 8 in ascending order.\nAnswer: -4\/9, 3, 8, 1575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, n: 4, q: 1, a: 6}. Give prob of sequence na.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 111 = 75 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -a6a?\nAnswer: a72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(5\/(-15)) - -3278308. Suppose 2602703 = -5*r - 2288822. Let y = s + r. Round y to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d - 19*d - 400 = 0. Calculate the highest common factor of 125 and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*r - 6*r + 148, 5*r + 106 = w. Solve w*x - 152*x - 44 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9\/5*s**2 - 27\/5*s**3 + 12\/5 + 24\/5*s = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**2 + 2*h**2 - 4*h**2. Let m(n) be the first derivative of -4*n**2 + 4. What is m(q(x))?\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 279\/(-21) - 12\/(-42). Let r(h) = -h**2 - 13*h. Let i be r(k). Solve -p = -i*p + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4) - -1)*4. Find n such that n**3 - n**4 - 2*n**4 + 5*n**3 - 2*n**t - n**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -23*i**2 + 5. Let v(k) = -2*k. Give o(v(r)).\nAnswer: -92*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -6*f + 4*b + 104, -f + 38 = 3*b. Suppose 3*y + 8 = f. Suppose y*h - 4*h - 42 = 0. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1530 and 15640.\nAnswer: 140760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03 + 0.07. Let n = -1.96 - i. Let y = 0.3 - 0.3. What is the nearest to 0.2 in 2, y, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -306, -665, -1168, -1815, -2606, -3541?\nAnswer: -4620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, s: 3, x: 1, n: 4, v: 5}. What is prob of picking 1 x and 1 v?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-260)\/10*(-12)\/39?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**5\/6 - 5*p**4\/2 - 25*p**3\/3 - 35*p**2\/3 - 15*p\/2 - 11\/6 = 0 for p.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 = -16*u + 110. What is the remainder when u is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 8) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(4\/9)*t)\/(t*t**(1\/9)\/t*t)*t**4*t\/((t\/(t\/(t\/((t**(1\/5)*t)\/t*t))*t))\/t))**(1\/18))**(-2\/21) assuming t is positive.\nAnswer: t**(-113\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6904 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((44\/(-48))\/(-11))\/(6\/54).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 648 = -3*u, -1491 = 5*i + 5*u + 1749. Let n = 948 + i. Suppose 2*g - n = -g. Round g to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -80 and 0.002?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-3 - 0) + -2 - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113227 is divided by 6010?\nAnswer: 5047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/27744 and -173\/91056.\nAnswer: 52630368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 635 - 66. What are the prime factors of m?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1188 - 1184. Suppose 5\/3*z - 1\/3*z**3 + 1\/3*z**w - 2\/3 - z**2 = 0. Calculate z.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5814 and 207.\nAnswer: 133722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1259 divided by -585.\nAnswer: -1259\/585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*f + 2*g - 5*g, 5*f = 4*g - 1. Suppose 25*m + 19*m = 440. Suppose f*u = m*u - 553. List the prime factors of u.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -25.9?\nAnswer: 103.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = a + 3*u, -a + 19 = -4*a + 5*u. Let l(s) = s**2 - 3*s**a + 1 + 3 - 5*s + s**2. Give l(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/9 + 284666*g\/9 - 569324\/9.\nAnswer: -2*(g - 142331)*(g - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 2) + 2 + 3 + -16?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(217\/7)\/(-1). Let v(l) = -3*l - 1. Let p be v(1). Let w = k + p. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (43 - -4) + -4 + -22\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188249 is divided by 47062.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**2 - 9*q + 9. Let v(w) = -w + 54 - 210 + 56 + 52 + 49 + w**2. Give 2*p(d) - 18*v(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -31, 0, 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g - 18. Let p be u(-9). Let i(n) = 7*n + 65. List the prime factors of i(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10883?\nAnswer: 10883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5909481 to the power of 1\/2, to the nearest integer?\nAnswer: 2431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 1. Let l be p(-2). Let q be (24\/5)\/l*5. Sort q, 1, 2.\nAnswer: q, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27379 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*((-18)\/(-6))\/((-27)\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1590 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 11*i**3 - 7*i**2 - 5*i - 2. Let w = 9 - 15. Let s be c(w). What is s rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y = 16*y + 156 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -0.296695.\nAnswer: 0.0890085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 0)\/(3\/12). Let y(u) = u**2 - 2*u - 3. What is the remainder when 8 is divided by y(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (-1)\/(1\/10). Let z(m) = m**3 + 11*m**2 - 13*m - 5. Let k be z(o). Solve 4*w + 4 = -x - 2, -w = 3*x + k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**5 - 2*b**4 - 801214*b**3 - 3038045*b**2 wrt b.\nAnswer: 60*b**2 - 48*b - 4807284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 924 = -75*q + 214*q - 62*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/2*(-38)\/285)\/(4\/(-36)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(24905 + 42*o - 6*o - 24899).\nAnswer: 36*o + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/10)\/(-30 + 637\/26).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10640107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a + -1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wssswwnhwwrn. Give prob of picking 1 w and 1 s.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3635*p - 20775. Determine l(-5).\nAnswer: -2600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 8024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*m + 58 + 57 - 116)*(-2 + 0 + 1)*(-6*m + 5 - 5) to the form b*m + a + c*m**2 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-1) - -1) + 4 + -2. Let z = -8 + 10. Solve q + z = -o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**7\/360 + j**6\/360 + 277*j**5\/60 - 108*j**2. Let x(n) be the third derivative of p(n). Let t(b) = -b. Determine t(x(m)).\nAnswer: 14*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*b**2*l*u + 76851*b*u + 47068*l - 13*u with respect to b.\nAnswer: 70*b*l*u + 76851*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/3)\/((-12)\/27). Suppose -2*h + k*h - 16 = 0. Calculate the smallest common multiple of h and 26.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 40629596?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + 3.24?\nAnswer: 28.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1116197 is divided by 1681.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 74599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285206733.\nAnswer: 3, 7, 139, 32569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17003 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 4*r**2 + 3*r + 4. Let f be a(-4). Let m = f + 41. What is the remainder when m is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46365 rounded to the nearest 100?\nAnswer: -46400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ja when two letters picked without replacement from jajjjajjjja.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5640 and 450.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1246827, 2493656, 3740485, 4987314, 6234143, 7480972?\n\"Answer: 1246829*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 143 + -76. Suppose -3*g - 4 = -t. What is the remainder when g is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 5:14 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6*a = 4. Differentiate g + a + 6 + 17*g wrt g.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 2\/9 (b) -1\/7 (c) -0.5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((80\/(-10))\/(-2*1))\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 2527554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 1\/1053, -3.93?\nAnswer: 1\/1053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2815 or 2816?\nAnswer: 2816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 8493773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17216 = 5*x - 259 - 1005. Is x a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-6)))\/b**(1\/7))**1\/((b**(-1\/4))**(-1\/33)*(b*(b*b**5)\/b*b*b)\/((b*b**(1\/4))\/b)) assuming b is positive.\nAnswer: b**(-439\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 59\/4 of a milligram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-531)\/(-59))\/(1*357\/14)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 31 = -5*i, -3*i + 2*y + 3*y - 5 = 0. Let j = -1585\/4 + 396. Let x be 8\/6*(-24)\/112. What is the closest to j in 4, i, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1894.9487 rounded to zero dps?\nAnswer: -1895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1212.251 to 0 dps.\nAnswer: -1212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 1)*(-105*c + 258*c - 112*c) + (-c - 3*c + 5*c)*(-4 + 5 + 6) + 2*c - 6*c + 2*c)*(4 + c**4 - 3 + 1).\nAnswer: -36*c**5 - 72*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-2))\/((-31)\/15872). What is the third smallest value in -3, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**2 + 10*g + 1. Let v(y) = y - 1. Let f(h) = -l(h) + 6*v(h). What is the units digit of f(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*o + 170 = 3*w, -138 = -3*o + 3*w. Let g be 19 + (-651)\/35 - 163\/(-5). What is the highest common factor of o and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1908 = -5*p - g - g, -4*p + 2*g + 1530 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 49 + 2*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - b = 4*v - 3, -4*b - 4 = 4*v. Let f = v + 1. Solve -8 + 5 = f*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3896?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + 1 + -8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.75 + -90.25. Let s = 86.9 + i. Let n = -3.75 - s. Round n to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5698928 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10013 - 1?\nAnswer: -10020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 33. Suppose -2*g = -3*g + 4*w - 4, w - 1 = g. What are the prime factors of y(g)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i**3 - 101*i**2 - 214*i. Let v(x) = -11*x**3 + 203*x**2 + 428*x. Let b(j) = -7*l(j) - 4*v(j). Find the second derivative of b(g) wrt g.\nAnswer: 12*g - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 76\/(-3) + 9\/27. Let o be 2\/10 - (-5)\/p. Let k = -7 + 9. Sort o, -4, k.\nAnswer: -4, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 86*t - 105*t + 1254. What is the first derivative of 90 + 51*s**4 + 94*s**4 + t wrt s?\nAnswer: 580*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 3, -14, -57, -4.\nAnswer: -57, -22, -14, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -21. Solve 0 = -o + z*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqf when three letters picked without replacement from {t: 7, f: 3, q: 9}.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - ((-21)\/(-6) - 1). Suppose 0 = -3*u - u + 8. What is the nearest to w in -1, u, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 25. Suppose 14*f - 10*f + 19840000 = s. Round f to the nearest one hundred thousand.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161504 divided by -6.\nAnswer: -80752\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*c + 6. Let k(t) = -3*t**3 + 1. Let z be k(c). Let q(p) = p**2 + 22*p + 1. Let m be q(z). Solve 0*a = -3*a - b + 12, 0 = 5*a + 3*b - m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2 - 5*a - 7. Let m(o) = -7*o**2 + 4*o + 11. Let g(w) = w**2 - 1. Let d(t) = -5*g(t) - m(t). Calculate -5*d(c) + 4*n(c).\nAnswer: 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n**3 - 2*n - 1. Let o = -4 - -3. Let f be y(o). Suppose 4*l - 50 = 10. What is the greatest common factor of f and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*d = -5, t + 3*t - 20 = 4*d. Solve -3*i = w + 4, 3*i - 8*i - 10 = t*w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g + 50 = 0. Suppose -h + g = h. What is the lowest common multiple of h and (500\/12)\/5 + 3\/(-9)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/((z\/((z**0\/z)\/z))\/z))\/(z\/(z\/(z\/z**1))*z)*(z*(z**5\/z)\/z*z)\/z*z**(3\/5)\/z assuming z is positive.\nAnswer: z**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -30 - 3*n + 2*n**2 - n**2 + 7*n. Let m be z(-6). Is 12 a factor of (-284)\/m - (29\/(-9) + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.013 - 0.113. Let s(c) = -c**2 + 11*c - 36. Let t be s(7). Let d be ((-1)\/(-8))\/(((-18)\/t)\/(-3)). What is the closest to g in 4, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 8*r - 8. Let f = -13 + 3. Let b be d(f). Suppose -3*o - 2*o + v = -668, 4*v + b = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 6, 0.1, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 8*v**2 + 11*v - 11. What is b(8)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 40085994 divided by 6\nAnswer: 6680999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from juuxuxpsuxuxpxx. What is prob of sequence uj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.175738 * 144.\nAnswer: 25.306272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6229624945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -73 times 1328\nAnswer: -96944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 135*z**2 - 1 + 138*z**2 - 6*z - 275*z**2 - 5*z**4 + 0*z as r*z**2 + s + n*z**3 + x*z + c*z**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - -17?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 - 0.07. Let f = m - -4.04. Let p = f + -4.00000002. Round p to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49 - 49)*(-3)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6794 - -815. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*d - 25, 25 = -d + 3*v - 5*v. Let a = d - -92. Calculate the remainder when 225 is divided by a.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h - 7. Let z be a(3). Let w(q) = 1. Let x(r) = 2*r**2 + 4. Give z*x(u) + 3*w(u).\nAnswer: -2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12319\/35 - -3*10\/(-6). Let j = -347 + f. Are j and -0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46110 divided by -53.\nAnswer: -870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -554*q + 3633 + 13483 = -3382 for q.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 45*s**3 + 5850*s**2 - 3*s - 4. Calculate x(-130).\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from tmummummummum.\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) -3 (c) 24809 (d) 0.1 (e) -1\/8 (f) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -11. Let c be (-1*1)\/((-1)\/2). Let v be c\/3 - 8\/21. Sort -1, l, v.\nAnswer: -1, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26346 + -26346.1. What is the fifth smallest value in 184, 3\/26, 3\/5, t, -0.5?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (7 - 2) - (-1 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14*(-17)\/(-952))\/(2\/(-8))*-19?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1094 + 1091. Let z be (1\/(-3))\/(4\/(-12)). Which is the closest to o? (a) z (b) 4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 10*n**3 + 117*n**2 + 116*n + 49. Let b(m) = -2*m**3 + 3*m**2 + m + 1. Let v(a) = -8*b(a) + w(a). Factor v(i).\nAnswer: (i + 1)**2*(26*i + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11620906 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + 3 + sqrt(288))**2 + sqrt(24)\/(sqrt(12) - (sqrt(12) - sqrt(12)*5)).\nAnswer: 721*sqrt(2)\/5 + 1161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -6.004.\nAnswer: -6.204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + -1 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392 is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 1. Let p(h) = -h**2 - h + 1. Let s(t) = 5*b(t) - 5*p(t). Let k(l) = -2*l. What is s(k(w))?\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*i**3 - 7*i + 8*i**3 - 62*i**3 + 44 + 962*i**2 - 958*i**2 + 31*i wrt i.\nAnswer: -546*i + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 248 - 243. Solve 3*t + 10 + k = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**5\/180 + 5*m**4\/72 + m**3\/3 - 23*m**2 - 2*m. Factor i(r).\nAnswer: -(r - 6)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2. Let a(t) = 118*t - 11. What is a(g(m))?\nAnswer: -236*m**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99307834?\nAnswer: 2, 337, 147341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19030208 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4594809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 1638*m - 9735. Let s be f(6). Solve 18 = 15*g + s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 2*z - 4. Let w be u(-4). Suppose 0*m = -2*m + w. Let j(s) = -5 + m - 2 + 3*s. Give j(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 7:31 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 15) + (-1 - -9) - 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, -5, 0.08, -29\/19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/(-7))\/3)\/((-170)\/(-595)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 120 = 50. Suppose 0 = -s + 12 + 5. Suppose q*f + 33 = s*f. Is 11 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -13774471\nAnswer: 41323413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019887 to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -358.707 - 0.03?\nAnswer: -358.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -645*l - 7819. Let b be o(-13). Solve 542*s - 96 = b*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2354 and 638.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n - n + n + 4*n to the form x + k*n and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + v + 2*v + (0 - 3 + 2)*(-2*v + 3*v + v) - 11*v + 13*v + 25*v to the form d*v + q and give d.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123292\/7 + -17552. Let j = 61 - p. Sort j, 0.1, -1 in increasing order.\nAnswer: -1, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022222022020 (base 3) in base 8?\nAnswer: 2546761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 9. Let i be (x + -1)*(-7)\/21. Suppose i + 4 = 4*l. What is the remainder when 2 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m. Let j(p) = p**2 + 2*p - 4. Let y be j(-3). Let a(t) = -7*t + 2. Calculate y*a(d) - 4*h(d).\nAnswer: 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 8. Let j(x) = -x**2 + x - 7. Let l be j(0). Let k = -599 - -4821\/8. Find the common denominator of g(l) and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**3 - v**2 + v**2 + 6*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1727 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*4*7\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 11:02 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-12)\/(-8)*4\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - sqrt(1215)*-3)\/(-2*sqrt(300)).\nAnswer: -7*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175200 and 188924?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2)*4*2. Let v = -2.9 - -3. What is the closest to v in 1, k, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s + 16. Let n be r(-2). Suppose n*i + 39432 = m, -19716 = i + 2*m + 3*m. Let l = -39716 - i. Round l to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5\/4 - 18809*w**4 + 708496787*w**3\/2 - 17677168425*w**2 + 883271030625*w\/4.\nAnswer: w*(w - 37593)**2*(w - 25)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 69681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1476, -1229, -854, -369, 208, 859, 1566, 2311?\nAnswer: 3076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*4*sqrt(756))\/(sqrt(48)\/(sqrt(48)\/sqrt(12))).\nAnswer: 5 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -111 and -108 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) -2\/9 (b) -0.5 (c) -2 (d) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53628 - -111268. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(3 - 0*(-5 + 4)). Suppose -5*u = -2*f - 115, -u = o*u + 5*f - 125. What is the remainder when u is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0 = -3*m + 9, 13 = l + 3*m. Let w be -1*(-2 + l + -1). Solve 5*a + 3*j = -17, -4*a - w*j - 11 = -0*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-6)*v\/(v**(2\/29)*v*v))**(-3\/23)\/((v**1\/v)\/v*v*v\/v**(4\/7)*v)**(-5\/2) assuming v is positive.\nAnswer: v**(20371\/4669)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mufqfqfuqqyffuuy. Give prob of sequence fufm.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -420*g + 231. Let s(z) = 11*z - 6. Let r(o) = 77*s(o) + 2*x(o). Let m(k) = -k - k - k + 0. Give r(m(p)).\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19.43, -2\/11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 185590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 - 1 - 2885*g - 2606*g - 1 + 5119*g + 4 - 2*g**3 - 2*g**4 to the form q*g**2 + d*g**3 + s*g**4 + z*g + i and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 3*o**2 + 2*o + 2. What is r(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 222, 1165, 2836, 5325, 8722, 13117?\n\"Answer: 15*j**3 + 274*j**2 + 16*j - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-127083)\/30808*(-8)\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/10 of a litre in millilitres?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 21*w**2 - 2. Let x(s) = 7*s**2 - 1. Suppose -y - 3 = -2*y. Let c(z) = y*b(z) - 8*x(z). Find the first derivative of c(f) wrt f.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 11. Let q be n(-9). Suppose -10 = 2*b, q*l - 5*l + 4*b = -32. Differentiate 0*u**l - 5*u**4 + 4*u**4 - 3 wrt u.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8071?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (2 + 9 + -11) - 20?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*u + 14 + 16. Sort 3, -18, u in descending order.\nAnswer: 3, u, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140 by -4.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 41.00676g?\nAnswer: 41006.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3431, -6869, -10307, -13745, -17183, -20621?\n\"Answer: -3438*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-8) - ((-189)\/36)\/7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1089372 is divided by 375.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10 - 6)\/(4 - (-40)\/(-15)). List the prime factors of 35289\/39 + (82\/26 - f).\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, t: 5, n: 3}. What is prob of sequence tnth?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*s - 27*s + 25*s)*((3*s - 3*s - 2*s)*(0 - s**2 + 0) - s**3 - 4*s**2 + 4*s**2 + 4*s**3 - s**3 - s**3).\nAnswer: -87*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2 = -2. Let u(l) = -6*l + a - l**3 + l**2 - 7*l**2 + 4. Is u(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 9*o = 11. What is the highest common factor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384655 is divided by 459?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214827 is divided by 23854.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*p**6 - 5*p**2 + 18*p + p**6 - 18*p wrt p.\nAnswer: -480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/6, -6.57, 1\/2, 11\/2, -0.26, 0.4?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -333*s + 1307*s - 5844 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 0*p**2 - 1\/120*p**6 + 0 - 3\/80*p**5 - 1\/16*p**4 - 1\/24*p**3 - 4*p. Determine k, given that w(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*q**4 - 2)*(135 + 337 - 685).\nAnswer: -426*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 11:17 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 11*v. Let c(b) = 300*b + 480. Let q(j) = 2*j + 3. Let s(n) = -3*c(n) + 480*q(n). Determine s(p(h)).\nAnswer: 660*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.961 - 0.039. Let a = -24.000055 - r. Round a to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 1. Let p(u) = u - 7. Let k(h) = p(h) + 5*v(h). Let z be k(2). Solve o + 2*o = z for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (329 - 263) + (3 - 61)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*f = -442330 + 185598. List the prime factors of f.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b5 - 16?\nAnswer: 29d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from zhwdw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 27. Let q = -8 - m. Which is the nearest to 1? (a) 3 (b) -0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 190 * -1372.\nAnswer: -260680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 7. Sort u, 8, 4 in descending order.\nAnswer: 8, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n - 1530 = -4*n - 24*n + 16*n for n.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 1\/6*i**6 + 0 - 5\/12*i**4 - 5\/3*i**3 + 0*i**2 + 1\/2*i**5 + 27*i. Let d(l) = 0. Calculate l.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(0 + 0\/(-2) + (-74)\/(-2)). Solve 165*r - 51 = w*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 0*n**4 + 0*n**2 - 1 + 3\/5*n**5 + 2*n + 0*n**3. Differentiate o(f) with respect to f.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -180 + 193. What is the common denominator of (3\/189)\/(v\/(-598)) and 79\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10028*f**6 - 223*f**3*y**2 + 49084*f**2*y - 37*y**2 wrt f?\nAnswer: -1203360*f**3 - 1338*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57 - -31) + 23 - (-52)\/8*-6?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 0*m + m - 2*m - 14. Let d(x) = -660*x - 43576. Let y be d(-66). Determine h(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2352, 4704, 7054, 9402, 11748, 14092?\nAnswer: 16434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 = 3*p + y + 3*y, 241*y + 357 = 9*p + 247*y for p.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(13\/3)\/(((q**(-9)\/q*q)\/q)\/q) assuming q is positive.\nAnswer: q**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2122201 + 232003111?\nAnswer: 223220310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + (-4)\/(-408)*689. Let z = v - 3\/34. Solve -22\/3*w - 14\/3*w**2 - z = 0 for w.\nAnswer: -1, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265637723.\nAnswer: 13, 271, 75401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8.1? (a) 6 (b) -3\/7 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 + 170*m**2 + 1215*m - 3150.\nAnswer: 5*(m - 2)*(m + 15)*(m + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1518766 by -2362.\nAnswer: -643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + -3 + 3)*-7. Suppose 5*v + 4*x = h*v - 468, 1131 = 5*v + 3*x. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*q**4 + 2*q**2 + 3 - 5*q**2 + q**2 - 66*q**4 + q**3 + 3*q + 136*q**4 as m + c*q + x*q**2 + t*q**3 + k*q**4 and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 747*v + 35 = -1490*v + 747*v, 55 = n + 5*v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, i: 1, u: 5}. What is prob of picking 1 u and 2 r?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80 + 73.24. What is u rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(343)*1) + -2*sqrt(80) + -1.\nAnswer: -55*sqrt(5)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 29892 (c) 458\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2487656 divided by -75\nAnswer: -2487656\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15661231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -15679.5315 to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 262 - 253.936. Let z = 0.164 - w. Round z to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 0*m - 40 - 9 = -z, 59*m = 141*z - 150*z - 1107 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165 and 4895.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**6)\/v**1)\/(v**15)**(7\/6) assuming v is positive.\nAnswer: v**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8164?\nAnswer: 2, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 0*u + 2\/9*u**3 - 6 - 1\/3*u**2. Determine n, given that r(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/11)\/(j\/j**(-2\/17)))\/(j*j*j**8*j**(-1\/2)) assuming j is positive.\nAnswer: j**(-4005\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + 21. Suppose 292*z = 260*z + 9184. What is the greatest common factor of z and j?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410313 (base 5) in base 16?\nAnswer: 3398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1698 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -16190946.6 to the nearest 100000.\nAnswer: -16200000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 90*s**2 + 575*s + 534. Calculate l(83).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48104902?\nAnswer: 2, 1693, 14207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535849973 is divided by 42.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1967*i - 3*k + 10 = -1963*i, 3*i - 4 = i - 2*k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11315754 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 731 != 731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -467571 and 5.51?\nAnswer: -2576316.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 3.8. Let x = -1.2 - d. Let i be (100\/150)\/(2\/(-6)). What is the third biggest value in 4\/9, x, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -177*u**3\/2 + 1263*u. Let z(w) = -4*w**2. Give d(z(y)).\nAnswer: 2124*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 7*z - 24. Let h(t) = -t**3 + 8*t**2 - 7*t - 4. Let n be h(6). What is the tens digit of 852\/39 + z\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -113c + -25bdd?\nAnswer: -26d2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**5\/60 - 3*l**3\/2 + 687*l**2. Let m(w) = 23*w. What is x(m(y))?\nAnswer: 529*y**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.264 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -142, -137, -132, -127?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*c - 1053 - 1288, 470 = c + y. Suppose u = -3*n + 350, 4*n = 3*u - 2*u + c. Calculate the remainder when n is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*k - 9055 - 2516 = 10740 + 5714 for k.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200)\/sqrt(4) - ((sqrt(40)\/sqrt(5))\/sqrt(4))**2.\nAnswer: -2 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 13. Let y be j(18). Suppose f - 4*m = -16, 4*f - y*m = -m - 28. Let h be 2*(-620)\/f*20. What is h rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 223, 154, 45, -104, -293, -522, -791?\nAnswer: -1100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 3, 2 in decreasing order.\nAnswer: 83, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*a = 3552, -f - 1800 = -3*f - a. What is the remainder when f is divided by 58?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 5. Let r(n) = -n**2 + n + 1143. Let u be r(q). Let y = u + -5773\/5. What is the common denominator of y and 71\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231, 178, 67, -126, -425, -854, -1437?\nAnswer: -2198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 0\/5) + (-22)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + (4*sqrt(72))**2 - (sqrt(144)\/sqrt(8) + (sqrt(2)*1*-3 - sqrt(2)))) + -1 + -3.\nAnswer: sqrt(2) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 - 34*n - 128. Let g be a(-11). Solve -o + 9 = -g*v, -30*v + 29*v - 3*o = -14 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2)*(-5 - -5 - 0). Suppose -10 = -w*o - 2*o. Suppose -4*a + 3*a + o*u + 112 = 0, -2*u = 5*a - 641. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -27890 (b) -77 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0*19584\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/10 and 25\/14552.\nAnswer: 72760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**6\/660 + 14*f**5\/165 - 49*f**4\/33 + 7*f**2 + 5*f - 3. Let a(l) = 0. Calculate l.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -1.85, -155, 0.2, 5.\nAnswer: -155, -1.85, -2\/3, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + k - 7, 0 = k - 2. Let t = 2222 - 2225. Sort 27, 3, t, q in decreasing order.\nAnswer: 27, q, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 72 + 2008. Suppose 5*f - u = 15*f. Let x(h) = -h**2 - 36*h - 41. List the prime factors of x(f).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -968977 - -969019. Suppose 0 = -3*t - t, -h + t + 182 = 0. Calculate the greatest common divisor of h and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c - 9. What are the prime factors of j(-6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 23. Suppose -4*i = -4*z + 112, -z + 5*i = -20 - r. What is the remainder when 432 is divided by z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 7*x - 5. Let k(u) = -u**2. Give k(v(o)).\nAnswer: -49*o**2 + 70*o - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1116 (base 7) to base 2.\nAnswer: 110010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (29\/87)\/(2\/(-24))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*m, 2*m = -4*r - 2*m + 4. List the prime factors of (10 + r)\/((-2)\/(-6)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4405, 29, 0, -1.\nAnswer: -4405, -10, -1, 0, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pebcaczpacaeaapaa. What is prob of sequence beec?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 10:54 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 442649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 214*b*t*z**3 + 935*b*t + 306*b*z**3 - 4*b*z**2 - 2*b*z - 2*t*z**3 + 2*t*z**2 - 31*z**3 - 1743*z**2 wrt z.\nAnswer: 1284*b*t + 1836*b - 12*t - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*v**3*x**5 + 3134*v**3*x**4 + 4*v**3*x**2 - 4*v**3*x + 3*v**2*x**2 + v**2 + 119*x wrt x.\nAnswer: -2220*v**3*x**2 + 75216*v**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 22 = 14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/120 and 73\/126240?\nAnswer: 126240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1244 = 4*r, -2*h - 5*r + 81 = -604. What is the lowest common multiple of h and 1200?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/671516893 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.96 + 11.96. Which is the fourth smallest value? (a) x (b) 16 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.2 at least as big as -60981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/((-10)\/8*(-1908)\/(-795))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7790)\/(-2337)*(-1)\/(-6).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -463549546638.\nAnswer: -463549546637.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o - o)*(2*o**2 - 6*o**2 + 2*o**2) - 3*o**3 + 2*o**3 + o + 4*o.\nAnswer: o**3 + 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -232*a**3*s**3 - 54*a**3*s**2 - 127*a**3 - 1117*a**2*s**2 + 6*a**2*s - 2*a**2 + 606*a + 2*s**3 wrt a.\nAnswer: -1392*s**3 - 324*s**2 - 762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2100 = 6*b - 21*b. Calculate the highest common factor of 56 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -37*z + 6. Let c be d(-3). What is the greatest common factor of c and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4403)\/(-7) + (-6)\/(-8)*8 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**9\/90720 + p**8\/10080 - p**6\/270 + p**5\/12 - p**4\/8 - 14*p**2. Let t(d) be the third derivative of l(d). Factor t(k).\nAnswer: -2*(k - 2)**2*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a0b + -6?\nAnswer: a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339 = -w + 5*x, -3*w - x + 245 = -852. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0789, 366, 64 in ascending order.\nAnswer: 0.0789, 64, 366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -156 + -3?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a = 9*a + 14*a - 1144. What is the remainder when 477 is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109638, -109603, -109564, -109521, -109474, -109423, -109368?\nAnswer: -109309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1605370 to the nearest ten thousand.\nAnswer: 1610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -33. Suppose 2*y + g + 15 = -2*y, -3 = -3*y + r*g. Put 3, y, 0, -2 in descending order.\nAnswer: 3, 0, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**8\/1848 - f**7\/231 + 7*f**6\/660 - f**5\/110 - f**2 - 9*f. Find y such that k(y) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, 0.3, 12, -6\/11, 0.4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1225*w**2 + 2011*w**2 - 595*w**2 + 2108*w**2 + 1 in the form s*w**2 + q + k*w and give s.\nAnswer: 4749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**6\/120 - y**5\/20 + y**4\/8 - 7*y**3\/6 + 3*y**2. Let x be z(-5). Let r = x + -12. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 1. Let g(y) = -3*y + 1. Let p(d) = -g(d) + 4*r(d). Let h be p(0). Suppose 3 = -h*o + 6. Put o, -4, 5 in descending order.\nAnswer: 5, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 588 and 483?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 + 38. Let l be (-20)\/6*((-4)\/o + -2). Let n be 60\/45*l\/(-4). Let w(m) = -1. Let g(q) = -2*q**3 - 9. Give n*g(s) + 18*w(s).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1515 - 2297. Let v = -777 - m. Which is bigger: v or 2.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 5, -1, -31 in decreasing order.\nAnswer: 5, 1, -1, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 + (-63882)\/1596)\/(1\/4*-2)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -1. Let x = -21 + d. Let q be 4\/(-6)*-2*(-108)\/(-72). Solve 5*o + m - 1 + x = 0, 5*o = q*m + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 12*v + 267. Let a be h(-22). Sort a, -1, 4, 1.\nAnswer: -1, 1, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332 not equal to 1333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -124 - -36. Let l = 139 + j. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -183.95 + 199. Let z = 50.3 + -35.3. Let j = z - l. Put j, 0, -0.4 in descending order.\nAnswer: 0, j, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - -4083?\nAnswer: 4089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u**2 - 2*u - 3. Let w be (-3)\/(-2)*(54 + -56). Let n(k) = -k**2 - k - 1. What is w*h(b) + 6*n(b)?\nAnswer: 9*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17752)\/4755)\/(4\/(-30)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81167 is divided by 10133?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 1559900?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5033164 tonnes to milligrams.\nAnswer: 503316400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crcziccczczczzric. What is prob of sequence irrc?\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-38 - (0 + 2))\/(2\/(-3)). Suppose 3*w = -p - i + 158, 3*p + w = 254. List the prime factors of p.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101000101 + 1010?\nAnswer: -1001100111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + 0 + (1 + sqrt(245) + sqrt(245)*-1 + sqrt(245) - (4 + (sqrt(245) - (sqrt(245) + -1)))))**2.\nAnswer: -154*sqrt(5) + 366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 6*b**2 - 4*b + 17. Let x be t(-7). Suppose -j + 0 = 1. Let u = j - 14. Put -1, u, x in descending order.\nAnswer: -1, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 415, -83, 21 in decreasing order.\nAnswer: 415, 21, 3, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 + 160*d**2 - 277*d - 111. Determine z(-55).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 33383*t. Let y(o) = 2*o - 33. Calculate z(y(h)).\nAnswer: 66766*h - 1101639","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11180 + 11187. Which is the second smallest value? (a) -1 (b) -27 (c) i (d) -1\/2 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*v + 25*v - 4*v.\nAnswer: -85*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - s + 12 = 0. Let p(j) = -j**3 + 5*j**2 - 3*j + 2. What is p(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/9, -29, -5, 3\/8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22204 and 25848628.\nAnswer: 180940396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -21 + -12 + -18 + 33\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001649 rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -985.1 + -1.\nAnswer: -986.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*10\/(-100)*-5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51588 and 9684?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/12 + 7)\/(20\/(-15)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = 4*i + c, -5*c + 71 = -4*i - 4*c. Let k(u) = -u**3 - 17*u**2 + 19*u - 15. Calculate k(i).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 5*v + 3. Let h be y(5). Suppose -2*m = 2*m - 8, 5*f - h*m = 439. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + f + 37. Suppose 12*v - 9*v = 0. Does 11 divide u(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -573, -1449, -2325, -3201, -4077, -4953?\n\"Answer: -876*d + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 > 111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*sqrt(70)*1)\/(sqrt(30)\/(sqrt(3) + (sqrt(6)*-2)\/sqrt(2))).\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/5658 and -26\/302375?\nAnswer: 41727750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361*c**2 - 1191*c**2 - 1928*c**2 - 1 - 440*c**2.\nAnswer: -3920*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -0.751 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 216, 0 in descending order.\nAnswer: 216, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, d: 2, r: 1}. What is prob of picking 1 d and 1 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 4*i = -10, -32*i - 24 = 2*m - 28*i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**2\/2 + 2*y - 3. List the prime factors of n(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1364)\/(-28) + (-4)\/(-14). Let t(s) = -s + 22. Let w be t(-7). Let u = j - w. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 3*z + 24. What is g(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4088953 is divided by 408893?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -8 (c) -0.026\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hss when three letters picked without replacement from {s: 6, i: 3, h: 3, b: 1}.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 384.322 to the nearest ten.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -90429 + -45.6375?\nAnswer: -90474.6375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -19*u**3 + 4*u**2 - 3*u - 1. Let o be v(6). Let x = -23747\/6 - o. What is the common denominator of 19\/12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2359*y**3 + 3167*y**2 + 3128*y - 10303 wrt y?\nAnswer: 14154*y + 6334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1189167 or -0.95?\nAnswer: -0.95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -45, -55\/7, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-83)\/2)\/(22\/(-44)). Solve 71*j - 48 = l*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4212*i - 4579. What is j(1)?\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.67409 + -0.10109. What is w rounded to one decimal place?\nAnswer: 7.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21569?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 = -4*c - 1, -5*y - 2*c + 8 = 0. Suppose 0 = -y*u - 3*u + 90. Suppose -t + 66 = u. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6140, -3739, -1338, 1063?\nAnswer: 3464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-3120)*-1*4*(-6)\/6.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 + 23 + 13*w)*(-33 - 256 + 305 - 423 - 365) to j*w + f and give j.\nAnswer: -10036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - y - 1. Let v be x(-2). Let s = v + -9. Solve 4*u = -s*u + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143, 265, 391, 521?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/48*294\/(-70)*10\/(-15).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v. Let z(m) = 22*m**2 + 12*m. Let u(y) = 9*y**2 + 5*y. Let p(r) = -12*u(r) + 5*z(r). What is p(f(w))?\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v. Let c be -1 - (-6 + 4\/4). Suppose 4*p - 23 = -c*b - p, -5*p = 5*b - 25. Let k(l) = 2*l**b + 7*l**2 - 5*l**2 + 15*l**2. Give k(a(g)).\nAnswer: 171*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 58 + 3 - 6 + 5071*h - 5101*h + 14 in the form z + d*h and give z.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -314543, -314481, -314419, -314357, -314295, -314233?\n\"Answer: 62*j - 314605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4\/x)**(-17)*(x**(-1))**13 assuming x is positive.\nAnswer: x**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.8 and 86.8.\nAnswer: 87.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*f + 20 = 51*f. Let r(l) = 4*l - 2. Let k be r(3). Calculate the highest common factor of k and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -61*f + 57. Let m be g(1). Let w be (6\/5)\/((-1)\/5). Which is bigger: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1840 a factor of 42998960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 8:26 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 2*q**2 + 2*q**2)*(1 - 1 - 2*q) + 17 - 2*q + q**3 + q**3 - 14.\nAnswer: 6*q**3 - 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -4a02ca2?\nAnswer: -4a02ca7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, 0.1, 0.64, -0.1.\nAnswer: -0.1, 0.1, 0.64, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 7:33 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*c + 51364, 0 = 70*s - 76*s - c + 61647. Is s a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-2) - (-86)\/172. Suppose t*s - 18960 = -27*s. Is 79 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7.697709 micrometers?\nAnswer: 0.007697709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 2*s + 2 + 2 = 0, 0 = -w + 3*s + 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2330 and 379369202?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (1 + -10)) + -12\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198 and 4662?\nAnswer: 51282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w + 27. Let y be o(-14). Let g = 4.2 + -4. Which is the fourth smallest value? (a) -8 (b) y (c) g (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-6) - (-20)\/(-6). Suppose -24 = 3*g - 6. Is 12 a factor of z - g - (-22)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -677560*g**3 + 2*g**2 + 4*g**2 + g - g**4 + 677589*g**3 - 3 in the form o*g + v*g**4 + h*g**3 + q*g**2 + p and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 405536885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 330\/(-1320)*8\/6. Which is the fourth smallest value? (a) 1 (b) r (c) -8 (d) -0.1 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + -2)*5)**2.\nAnswer: -600*sqrt(2) + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -64, -156, -288, -466, -696, -984?\nAnswer: -1336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (36\/(-15))\/((-2)\/5). Suppose v + 16 = -4*x, 4*v + 4*x + 4 = -0*v. Suppose 8*w - v = n*w. Which is the smallest value? (a) -1\/4 (b) w (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(-26))\/(8\/(-272)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1130 - -1126. Let k = 0.5 + -0.3. Sort 0.5, k, -7, n.\nAnswer: -7, n, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1644271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57807, 57396, 56979, 56550, 56103, 55632?\nAnswer: 55131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 18*r. Let i(w) = 56*w. Let m(p) = 20*h(p) - 6*i(p). Let q(y) = y. Determine m(q(t)).\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -124\/149 greater than -1\/151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 34*w**2 + 12*w. Let c(j) = j**2 + 2*j. What is -8*c(x) + p(x)?\nAnswer: 26*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -7*z**5\/5 + 2*z**4 + 17*z**3\/3 + 19*z**2\/2 + 911. Find the third derivative of a(k) wrt k.\nAnswer: -168*k + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0*u - 4*u)*(1391*u + 136932 - 136932 + (-u + u - 2*u)*(-1 + 4 - 2) + 3*u - 4*u - u).\nAnswer: -2774*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -353, -702, -1051?\n\"Answer: -349*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 112 divided by 2\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 1:58 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 116 + 21. Let i = x + -37. Suppose 96 = 4*t - n - 1, 4*t = 4*n + i. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 160*b*g**3 + 4*b*g**2 - b*g + 13*b - 2*g**3 + 3*g**2 - g - 539 wrt g?\nAnswer: 960*b*g + 8*b - 12*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95245, 95250, 95267, 95302, 95361, 95450?\nAnswer: 95575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 1 = -u. Let m be 6\/4*36\/243. Does u = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1488272?\nAnswer: 2, 191, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*a + 3. Find the second derivative of s - a*s - 2*s - 22*s**3 wrt s.\nAnswer: -132*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5.23, -9, -10.4?\nAnswer: -10.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13\/7? (a) 6 (b) -2\/5 (c) -0.3 (d) 8\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -1151*c - 100147. Calculate n(-87).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 - 13*q + 50. Let o be v(-9). Find the third derivative of 28*d**6 - 12*d**6 - 9*d**6 - 6*d**o + 87*d**2 + 38*d**2 - 8*d**6 wrt d.\nAnswer: -120*d**3 - 360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3 + 9*t**2 - 4*t - 36 = 0.\nAnswer: -9, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 10. Let t(o) = -3*o**3 + 17*o + 8. Let g(v) = -v**3 + 2*v - 1. Let u(b) = b**3 - 3*b. Let z(m) = 3*g(m) + 4*u(m). What is k*t(q) - 17*z(q)?\nAnswer: q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14310 or 14299?\nAnswer: 14299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + 0 - (sqrt(38)*-1)\/sqrt(2))**2 - (sqrt(19) + (-1 + sqrt(2299))**2 + ((sqrt(19) + 2)*-3 - sqrt(19))).\nAnswer: -1078 + 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 - (-7 - (-3 - -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.35 - 0.05. Let j = -5 + 5.3. Let p be (-6 - 0)*((-2)\/(-36) + 15\/216). Which is the second smallest value? (a) y (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 2\/99272673?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/4 of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -177 + 496. Let b = j + -196. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11968 and 99008?\nAnswer: 1089088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 8 = -2. Let v be 1\/((-45)\/54 - 1\/(-3)). Do o and v have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4224396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 3*n - 2. Let s be d(2). Suppose -2*a + 4 = -s. Suppose 0 = 3*o - a*y + 4, 5*o + 0 = -5*y + 35. Solve 0 = -4*b + o*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 1. Let h be (-9)\/4*8*10\/510. Which is greater: h or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11453591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98 + -98. Suppose 3*l - l + 386 = q. Let g = l + 1739\/9. Which is the second smallest value? (a) 1\/3 (b) g (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 12*c**2 + 48*c - 86. Let h be x(7). Solve 0 = -0*m - m - h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 - 2*y - 2. Let l be k(-1). Let s = 3 + l. What is the greatest common divisor of s and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h + 28*h**2 - 11*h + 5*h to the form x + u*h + a*h**2 and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (83\/(5395\/(-3120)))\/((-3)\/(-2)*-1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**4\/12 + 10*x. Suppose 3*k + 4*s + s + 5 = 0, k - 3*s = 3. Let a(u) = k*u - 6*u + 3*u. Calculate z(a(f)).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 - 2*y**4 - 8*y - 2 + 2*y - y**3 + 3*y**3 + 10*y to the form h*y + m + i*y**4 + q*y**2 + f*y**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*f - 2*f**4 + 4*f**2 + 7*f**2 - 12*f + 0*f**2 - f**2 + 4*f**3.\nAnswer: -2*f*(f - 3)*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*g = -84. Let n be (2\/(-3))\/((-28)\/g). What is the nearest to n in 1\/5, -2\/17, 4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 335801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t - 6*t + 2*t)*(0 + 0 - 1) + t - 2*t - t + (3*t + 4 - 4)*(4 + 9 - 9) as w*t + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 2 - 0 - -7. Suppose 0 = -4*u + u - 36. Let g be -1 - 4\/(u\/195). What is the greatest common factor of f and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*n + 2 - 116*n + 0 - 2.\nAnswer: -35*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/150 + (-47)\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1923.\nAnswer: 1\/1923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7 + ((48\/(-20))\/((-108)\/600) - 6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -3.4 (b) -0.5 (c) -0.03 (d) -2\/11 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(5\/2)*r**31 assuming r is positive.\nAnswer: r**(67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/7)*h)\/(h\/h**10*h) assuming h is positive.\nAnswer: h**(67\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30624386 is divided by 2247.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 8 = -4*w. Suppose -2405 = -4*z + l + 1765, 3*l = w. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62918?\nAnswer: 2, 163, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(1\/4))**(3\/5)\/(i\/(((i\/(i**2\/i)*i)\/i)\/i))**49*(i**(2\/17)\/(i\/(i**(-4\/3)*i)))\/(i\/(i\/i**(2\/5))*i*i\/i**(3\/7)) assuming i is positive.\nAnswer: i**(-719263\/7140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 18 + 6 = 0. Let i(s) = s**3 + 7*s**2 + 4. What is the units digit of i(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v + 112*v - 4097 = 4135. What is the remainder when 65 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b9 - -2689?\nAnswer: 2764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 16*g. Let x(k) = 18*k + 18*k - 37*k. Determine y(x(d)).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73260 by -36630.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 805 and 257 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*v - 3*u, -4*v + 8*v = 2*u + 84. What is the remainder when 10\/(-8)*(260\/(-10) + -94) is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20330502 (base 8) in base 10?\nAnswer: -4305218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 1. Let d(w) = 4*w + 2. Let c(x) = -4*d(x) - 14*p(x). Suppose 9*o - 6*o = 75. Let f = 29 - o. What is c(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 1 - (-5)\/15. Suppose s + 5*s - 120 = 0. Suppose s*a - 23*a = 0. Is a at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -15 - (3 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 5:34 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-86)\/1 - (0 + 2). Let m = 131 - 267. Let o = m - b. Sort -3, o, -2.\nAnswer: o, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2087?\nAnswer: 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038.697175 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 15*h + 127. What is z(-7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 323 + 324 - 89*g)*(-140 + 11*g**2 + 140).\nAnswer: -990*g**3 + 11*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -0.0406?\nAnswer: -0.0406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 692.5077 nanograms?\nAnswer: 0.0000000000006925077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 452 + -9494\/21. Which is the third biggest value? (a) -1 (b) z (c) -1\/28 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*m**3*v**2 + 22*m**3*v + 8*m**2*v**4 + 2*m**2*v + 2*m*v - 2*v**3 wrt v.\nAnswer: -8*m**3 + 96*m**2*v**2 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 10*f + 25. Let j be t(-5). Let x = 8 + 1. Let l(c) = -34*c + 18*c + 15*c + x. Calculate l(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74447\/15 - 4963. Which is the fourth smallest value? (a) -9 (b) 5 (c) 3 (d) m (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26735 is divided by 207?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38435286.\nAnswer: 2, 3, 41, 156241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -160, 67.8, -2\/3 in increasing order.\nAnswer: -160, -2\/3, 67.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 662 divide 2248814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*t**2 - 29*t**2 - t - 5*t**4 - 28*t**2 - 2 + 2*t**3 to the form f + p*t + k*t**2 + n*t**4 + m*t**3 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13939, -13937, -13935?\nAnswer: -13933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**4\/12 + n**3\/2 + 7*n**2. Let a(u) = u - 1. Determine a(i) + z(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-36) + 10*18\/360.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 192514*c**4 - 14*c**2 - 3*c + 1532423.\nAnswer: 2310168*c**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 82870249 a multiple of 428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (40 - (-21 + 63))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*i + 3*z - 9, -5*i - 3*z = 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 123*i**2 - 4*i + 3. Let g be t(1). Let c = g - -101. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4636*l**2 - 4718*l**2 + 8417*l**3 + 9354*l**2.\nAnswer: 8417*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 24536 (b) -1\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 5. Let l(x) = 2*x + 1. Let n be l(z). Let d(w) be the second derivative of -w**5\/20 - w**4\/2 - w**3\/2 + 3*w**2\/2 + 3*w. What is d(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/(-24) - 3\/12. Let p(l) be the third derivative of b*l**4 + 0*l + 0 + 0*l**3 + 3*l**2. Let m(r) = -2*r. What is p(m(i))?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 - k + 5 - 3 + 8 + 3*k as a*k**2 + z + s*k and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + 10*b**2 - 3*b**2 + 2*b - b - 2*b**2 as y*b**2 + a*b + l and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -9. What is the derivative of -4 + 4 - 2*m**3 - 3 - r wrt m?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*j**3*w*x**2 - j**3*w*x - j*x + 248*w*x**2 - 7*w wrt x.\nAnswer: -12*j**3*w + 496*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 6:25 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2880*w - 305*w**2 + 3160 + 2268*w + 301*w**2 = 0?\nAnswer: -158, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171382590 divided by 807.\nAnswer: -212370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11253065322.0000071 - -11253064756. Let j = -566 - w. Round j to seven decimal places.\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362369266*n**3 - 7*n**2 + 362369264*n**3 + 7*n**2.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 5 (c) 2.87 (d) 0.3 (e) -48 (f) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 x, and 1 d when four letters picked without replacement from {i: 2, o: 2, x: 3, d: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - ((-22 - -35) + (-1 - 17))) + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33899 + 34886. Calculate the remainder when l is divided by 249.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65464\/21 - 8\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.22 + 0.28. What is the closest to -1 in 5, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*m + p + 13, 2*m = -3*p - 5. Let r = 9 + -4. Find the first derivative of -m + r*g**4 - 4 - 6*g**4 wrt g.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*q - 6. Let s be (-3)\/2 - q\/(-6). Suppose 12 = -3*z - 0. Sort 5, z, s in decreasing order.\nAnswer: 5, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, x: 2, z: 2, j: 1}. Give prob of picking 1 l, 1 x, and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 20\/21271?\nAnswer: 20\/21271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 544477 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 y, and 1 h when three letters picked without replacement from {h: 2, r: 1, i: 7, d: 2, m: 1, y: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - 1 + 1)*(25 - 146 - 120) + (2*z - 2 + 2)*(-1 + 2*z + 1) + 0*z**2 - z**2 + 0*z**2.\nAnswer: 485*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6156*x**2 + 357*x - 37. Is a(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -857218, -857049, -856880, -856711, -856542?\nAnswer: -856373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(3) - sqrt(6)\/(3*sqrt(2))) - (sqrt(12)\/sqrt(4)*-2 + -2 + 1*sqrt(3))**2.\nAnswer: -6*sqrt(3) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**5 + 760*j**4 + 29996*j**3 - 1536490*j**2 + 15334275*j - 24774750 = 0.\nAnswer: -715, -77, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-6))\/(2\/6). Let l = 6.9 - 7. Let v = 0.4 - l. What is the third biggest value in v, u, 1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 4*j - 5. Let o(u) = -u**2 - 5*u + 6. Let s be (6\/(-9))\/((-2)\/(-15)). Let m(a) = s*p(a) - 4*o(a). Calculate m(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - w + 41. Let s be z(0). Let o = 9 + 11. Let h = s - o. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (178 + -134)\/((-3)\/(-12)). Calculate the highest common factor of y and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -18. Let b(t) = -t**3 + 7*t**2 - 7*t + 4. Let n be b(w). Put n, -3, 0 in descending order.\nAnswer: 0, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -26, -9, -2, -5, 3 in ascending order.\nAnswer: -26, -9, -5, -4, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/20)\/(62\/(-7750))*(-4)\/10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*k - 41*k + 150. Determine q, given that 18*q**5 + 5445\/4*q**k + 1443\/2*q**3 + 183*q**4 + 1200*q + 375 = 0.\nAnswer: -5\/2, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**3 - 2*n**2 + 0 + n - 4*n + 2. Let w(z) = z**3 - 8*z**2 + 8*z + 39. What is the remainder when w(6) is divided by q(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2544010816 to the power of 1\/3, to the nearest integer?\nAnswer: 1365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 12:01 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 5*q**2 - 13*q + 9. Let c be g(-7). Suppose -4*z = -c*y - 1182, -4*z + 4*y - 92 = -1284. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -5, -18, -45, -92, -165, -270?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 2*o**3 - 8*o**2 - 15*o - 3. Calculate the smallest common multiple of 11 and p(4).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s - 30. Let z be y(-8). Suppose -5 = -5*f, -z*f - 585 + 105 = -t. What are the prime factors of t?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18570000 rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + (sqrt(252) - (sqrt(252) - (sqrt(252) - (sqrt(252) + 5)))))**2 + -3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31013321 (base 4) in base 9?\nAnswer: 81655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmnv when four letters picked without replacement from {m: 13, v: 1, n: 3}?\nAnswer: 39\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 860 divide 4858140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 296 - 294. Solve 5*q = -a, 11 = 2*a + q - s*q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbxx. What is prob of picking 2 b?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6\/(v*v**(5\/17)))**(-38) assuming v is positive.\nAnswer: v**(-3040\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4616*x - 55207. Determine n(12).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000285556 to seven decimal places.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 + 2*z - 2*z + (z**2 + 0*z**2 + z**2)*(4 - 5 + 0) - 11 + 11 - 2*z**2 + (-1 + 2*z + 1)*(0*z + 3*z - z) + 3*z**2 + 0*z**2 - 2*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5308757.\nAnswer: 479, 11083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 3*v**2 + 5. Let z be x(4). Suppose 1 = 2*m - 9, 0 = -a + 2*m + 3. Let l = a + z. Solve -l*s = 3*s - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48.8902605324 + -329434.9097584676. Let o = n + 329485. Let i = -1.2 + o. Round i to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 17698563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122232133 (base 4) to base 6.\nAnswer: 2202451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 5*y - 35, -2*k + 3*y = -7*k + 19. Put 3, k, 20, 0 in descending order.\nAnswer: 20, k, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.4 - -61.6. Let y = o + 30. Let g = 103.38 - y. What is g rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4) - (-1)\/4\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1*sqrt(17) + 3)*-3)**2.\nAnswer: 216*sqrt(17) + 936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 y, and 1 o when three letters picked without replacement from {o: 1, y: 1, j: 1, t: 4, e: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57565193?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6900172l?\nAnswer: 690.0172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 87720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6700 and 231552.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.94458 - -2.\nAnswer: 5.94458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - 219\/135 - (-102)\/255. Which is greater: -38 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(24)\/(sqrt(40)\/sqrt(5)))**2 - (sqrt(75)*-6 + sqrt(3)) - ((1*sqrt(75) + -4)*6)**2).\nAnswer: -3273 + 1469*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/9, 0.8, -5, 821, 9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 17*m - 490. What is x(10)?\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 12:51 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -5. Let p be 2*-6*((-100)\/(-16) - 6). Which is the fourth biggest value? (a) 0 (b) p (c) r (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31971046*v**4 + 23645975*v?\nAnswer: -383652552*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4 + 19*j**3 - 10*j**3 + 24*j**2 + 9*j**3 + 2*j**3.\nAnswer: -4*j**2*(j - 6)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 880111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -14402, -3?\nAnswer: -14402","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/166932 and 23\/26?\nAnswer: 2170116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122925788?\nAnswer: 2, 31, 181, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1166590 and -0.134.\nAnswer: 156323.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -53508 * -2.1\nAnswer: 112366.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -8 - 49\/(-14)*220?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-117))\/((-9960)\/(-10790)).\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k - 2. Let z be w(2). Suppose z*f - 9*f = 33. Does 9 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85022421 + 1.54\nAnswer: 85022422.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/14 - (-736)\/56. Suppose f = -11*k + 12*k. Let m = -5 + 13. What is the remainder when k is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 962940 and 3851760?\nAnswer: 3851760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {h: 3, a: 1, d: 3, t: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5\/4 + 137*q**4\/4 - 20043*q**3 + 117620*q**2 + 712072*q + 792780 = 0. Calculate q.\nAnswer: -362, -2, 10, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2476\/8)\/((-2)\/(-11)). Let c = 1691 - p. Calculate the common denominator of c and (-4)\/(-12)*(0 + -38).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*f - 2*a, 2*a = 3*f - 2*f + 10. Suppose 42 = -4*s - f*b + 2*b, -5 = s + 5*b. Find the common denominator of -6\/11 and (-4)\/s + 94\/(-35).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -55*t - 91. Let m(i) = 12*i + 18. Determine 22*m(w) + 4*o(w).\nAnswer: 44*w + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**22)\/p*p*p\/(p**(3\/14)*p))\/(p\/p**(2\/19))**(-37))**4 assuming p is positive.\nAnswer: p**(6326\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r + 4. Let l(u) = -9*u - 7. Let p(q) = 4*l(q) + 7*n(q). Let v(i) = -23*i**2. Give p(v(j)).\nAnswer: 23*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2b65 (base 16) to base 6\nAnswer: 123233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-4))\/((-2)\/20). Let x(l) = l - 5. Let y be x(m). Solve -3*q + y*s + 7 = 4*s, q = -2*s + 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q - 9*q)*(-4 + 4 + q**2) + (16 - 7 + 8)*(11 - q**3 - 9 + 2*q**3).\nAnswer: 9*q**3 + 34","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/36280 and 101\/60.\nAnswer: 108840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 60*g - 379. Let m be o(7). Suppose -45*l = -m*l - 44. Calculate the lowest common multiple of l and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(105) - sqrt(105))*-4 + sqrt(105))\/sqrt(7))\/(((-4*sqrt(350))\/sqrt(10))\/sqrt(7)).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13\/11, -2.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 6*f. Let p(x) be the first derivative of -x**2\/2 - 13. What is 22*p(g) + 4*r(g)?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 5 = h. Let q = h + 34. What are the prime factors of 2\/((-31)\/q + 3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188380331 is divided by 612.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1432, -2944, -4524, -6172?\n\"Answer: -34*t**2 - 1410*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 182629875 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-104))\/(30\/(-80)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(224)*-5*-1)\/(sqrt(8) - (sqrt(512)*-1 + sqrt(512)) - sqrt(8) - sqrt(392)*3).\nAnswer: 40*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16650266813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 2*u - 3*u + (-2*u + u + 3*u)*(0 - 5 + 4) - 30*u + 17*u + 1 - 30*u to the form g*u + p and give g.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1853486 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 177*r + 6896. Calculate p(-39).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 1040*r - 1038.\nAnswer: -2*(r - 519)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 112 + -51. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -12 + (10 - -9) + (2 - 15).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 10. Let v be a(0). Let b be (-1)\/2*15\/v*4. Suppose -b*n - w + 294 = -n, 728 = 5*n - w. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 > -2986.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3118, 6164, 9198, 12214, 15206, 18168?\n\"Answer: -q**3 + 3053*q + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -425 + 425 + 220012*n**2.\nAnswer: 220012*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -29913.7203 to zero dps.\nAnswer: -29914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325 = -11606*b + 11619*b for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 248052871 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -116*i**3 + 45*i**2 + 6*i + 6. Let x(g) = -232*g**3 + 88*g**2 + 11*g + 11. Let b(l) = -11*a(l) + 6*x(l). Find the third derivative of b(r) wrt r.\nAnswer: -696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*k - 131 + 13 = -12. Solve 7*y = -16*t + 17*t - 16, 5*t - 6 = -k*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 10*l + 3. What is the remainder when v(2) is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 = 2*j + d, -d + 2 = -2*j. Solve c - 2 = -j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 10, s: 10}. Give prob of picking 3 d.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-132)\/(-880))\/((-9)\/(-120))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 127 + -100. Solve 0 = -2*z - 5*x + i, -2*x + x + 2 = -3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.71 + 0.29. Let p = j - 15.00000116. What is p rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -242, -240, -238, -236, -234, -232?\n\"Answer: 2*v - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/3, -8.3, -17\/2 in decreasing order.\nAnswer: -8\/3, -8.3, -17\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*m - 2*m + 3*m - 3*m - 7*m in the form l + a*m and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/((-504)\/35)*(-72)\/4\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 14*o - 3087914 = -35*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 17 = -3*t, 0 = -j + 5*t + 4 + 5. Differentiate -j + 2 + 15*u**2 - 8 with respect to u.\nAnswer: 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/19525 and 179\/24750?\nAnswer: 1757250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**7\/105 - p**6\/30 - 7*p**5\/30 - p**4\/3 + 23*p**2 - 10*p. Determine l so that n(l) = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + z)*(3 - 2*z**4 - 3) + 5*z - 5*z - 8*z**5 + 14 - 14 + z**5.\nAnswer: -9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 695*v - 452 = 3023. Let n(b) = -b**3 - 3*b**2 - 11*b - 8. Let q be n(-7). What is the greatest common divisor of q and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -0.5 (b) 912\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l. Let k(x) be the third derivative of 0*x**3 + 2*x**2 - 1\/12*x**4 + 0 + 0*x. Calculate v(k(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*k + 11*k**3 + 6*k - 248*k**2 + 13*k - 12*k**3 - 2 + 0*k to l*k**3 + c*k + b + a*k**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + l)*(6 - 1 - 3) + l + 0*l + 0*l)*(-18*l**4 + 35*l**3 - 35*l**3).\nAnswer: -54*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/15*(-2 + -8). Let l(o) = o + 8. Let b be l(x). Factor 1\/5*r**2 + 0*r + 0 - 3\/5*r**3 + 2\/5*r**b.\nAnswer: r**2*(r - 1)*(2*r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 93\/62 - (-636)\/8. What is the greatest common divisor of t and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 4 - -8) + -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 0.5, 2\/7, -130.\nAnswer: -130, -3\/4, 2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 less than -575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, q: 1, p: 3, b: 1}. What is prob of picking 1 p, 1 r, and 1 q?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 4*v**5\/5 - 5*v**4\/2 - 16*v**3\/3 + 17*v**2 - 12*v - 47. Find x, given that w(x) = 0.\nAnswer: -2, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -1199513?\nAnswer: -1199511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 204 by -12.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-1)*(7 + -4)\/9. Is 1\/90 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 53*k**2 - 156*k + 55. What is j(-56)?\nAnswer: -617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 475, 1050, 1625, 2200, 2775?\nAnswer: 3350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.7 - 2.7. Let s = 2.31 + 13.69. Let k = s - u. What is the nearest to 1\/2 in -1\/4, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4319659.49 rounded to the nearest 100000?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -142560233.52 rounded to the nearest ten thousand?\nAnswer: -142560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -36439, -36433, -36427?\n\"Answer: 6*t - 36445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*y - 319*y = -2232 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1\/o*o)**(2\/7))**3 assuming o is positive.\nAnswer: o**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdddj. Give prob of picking 1 j and 1 d.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1032*m**3 - 2*m**2 - 13*m + 14. Let d be k(1). Is d at least as big as -1026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.439*-0.3\nAnswer: -0.4317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - n**2 + 1)*(-609*n + 609*n - 67*n**3) - n**5 + 3*n**5 - 3*n**5.\nAnswer: 66*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*z = -q + 13, -5*z + q = -65. Factor -4 - z - 15*d + 27 + 5*d**2.\nAnswer: 5*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3682\/29 - -7973\/58. What is q in 3\/4*q**2 + l - 45\/4*q = 0?\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 56*v**2 - 111*v - 34. What is the units digit of x(22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 114 + -25. What is the remainder when y is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, f: 2, n: 1, i: 1, a: 1}. What is prob of picking 1 a, 1 i, and 1 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5838 and 3486.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 0. Suppose -t*b + 264 = -5*m + m, 5*b - 346 = m. What is the highest common factor of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 133354311?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 54 = -2*o. Calculate the remainder when o is divided by 23 + -11 + -5 - 6\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/5 (b) 5 (c) -748 (d) 2 (e) -1\/5 (f) -0.02\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.5 - -17.2. What is the closest to 0.1 in n, 1\/4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -177158.\nAnswer: -2\/88579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 197975101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18198 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 2000285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 7*k**4\/12 + 2*k**3\/3 + 11*k**2\/2 + 8*k. List the prime factors of j(-8).\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55805 is divided by 13864?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xogg when four letters picked without replacement from ggoggxggg.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8909491 litres in millilitres?\nAnswer: 890.9491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 656 a factor of 341060960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v**3 + 6*v**2 + 12*v - 2*v**4 + 5*v**4 - v**3 - 9 = 0. Calculate v.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 6*r**2 - 7*r. Calculate the remainder when z(-5) is divided by (6\/(-12))\/(((-3)\/(-18))\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.08 - 0.02. Let b = t + 4.008. Round b to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0266585 plus 1168395?\nAnswer: 1168395.0266585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27.99 - -28.99. Which is the closest to 2\/3? (a) u (b) -4 (c) -6 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1839.21 and -1.\nAnswer: -1840.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -198, -195, -192?\n\"Answer: 3*s - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122203 is divided by 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3351014 - 161?\nAnswer: -3351175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffvf when four letters picked without replacement from wwwvwbfwfffvw.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 20) + 139 + 171 + -264\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52441352?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 7, -2\/13, -0.3, 0.2, -19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 66. Let q be (-8)\/44 - 6\/n. Solve -4*r = -20, q = d + 3*d - 3*r + 31 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 449144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18926, 18669, 18412, 18155?\n\"Answer: -257*m + 19183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23836*f**3 + 4257*f**3 - 12871*f**3.\nAnswer: -32450*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114441661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 12*t - 21. Suppose -4*u + 4*b = -44, -3*u + 6 + 17 = 2*b. Calculate the remainder when 9 is divided by c(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + 1211220010332?\nAnswer: 1211220010300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 2*t - 11 = 7, 0 = -5*t - 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 308 and 7553.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((72\/(-32))\/(-3))\/(1*(-21)\/(-28))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 25*y - 41. Let n be 6\/(-9)*(-8)\/(192\/828). Calculate h(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1128*r**2*v + 1004*v wrt r?\nAnswer: -2256*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 + 17*o - 10. Let s(c) = 3*c**2 - 34*c + 20. Let k(p) = 5*l(p) + 3*s(p). Let t be k(-18). Let n = t + 11. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 5. Let m be t(0). Suppose -m*s + 236 = g, -3*s + 0*s - 5*g = -146. Let y = -33 + s. What is the highest common factor of 154 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 2*h - 2*h)*(-928 - 1204 + 1377 + 8279 + 17095).\nAnswer: 24619*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -290, -291, -294, -299?\n\"Answer: -t**2 + 2*t - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + (-1*(sqrt(832) - (1 + sqrt(832))) - sqrt(832)) + -1 + sqrt(832) + 1 + sqrt(832) + 6*(-5*1*sqrt(832))**2).\nAnswer: 40*sqrt(13) + 624020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -4. Let j(y) = 2*y + 0 + 9*y**v - 6 - 7*y**2. What is the remainder when j(3) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d - 11. Determine u(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -7. Let q(t) = t**3 + 7*t**2 + 17*t + 92. Let l be q(-6). Solve 6 - l = -r*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.6 - -2. Let s = -38 + 39. What is the closest to s in n, -3, -2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 51 (c) -0.1 (d) -4067\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -ca (base 15) to base 13\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 - -57. Suppose 2*o = 4*o - 100. Suppose 0 = 8*x + o - 314. What is the least common multiple of x and c?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/54*18*(-16)\/3\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -3\/62428079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-120)\/270 + (-4521)\/(-54)*2. Solve 32*a - 71 = -n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-3)\/30)\/(4\/10).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 2*y + 5. Let l be g(-2). Let h(q) = -9*q**3 + 4*q**2 - 2*q - 3. Let p be h(l). Let j(v) = 2*v - 282 - v + p. What is j(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.5 + -0.5. Let q = n - 2.1. Let g = 328 + -4918\/15. Which is the closest to q? (a) -2\/13 (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f - 1. Let y be i(-3). What is the units digit of 4\/(-2)*(-7 + y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1459 = 4*i + 5*d, -5*i - 4*d - 1471 = 355. Let m = 369 + i. Solve 5 - m = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -t. Let x be 0 - (t + -2*2). Suppose 2*f = x*n + 14, 2*f = f - 4*n - 5. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*i = 3*f - 66*i - 21, 2*f - i - 3 = -1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21333 + 22157. Suppose 3*n = -1221 + 194391. Let m = z - n. Round m to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/4*2*-876. Suppose 3*h = 9*h - f. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188 = -4*s + 4*q, 6*s + 100 = 4*s + 4*s + q for s.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -93*g - 194. What is z(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = l - 5*p, 2*l + p = -10 + 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -h + 4*z + 4880012, -5*h - 2*z = 12200006. What is h rounded to the nearest one hundred thousand?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*x**5 + 18476*x**4 - 31624*x**3 - 10544*x**2 = 0. What is x?\nAnswer: -2\/7, 0, 2, 1318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.57 rounded to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o + o - 12*o)*(-o + o - o**2) + 5*o - 2*o - 2*o**3 + o**3 as z*o**3 + y + t*o + g*o**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-959980)\/(-16) + 4*(-4)\/(-64) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0529 - -126.7932\nAnswer: 126.8461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5 = 5. Calculate the common denominator of (-2)\/t + (-636)\/40 and 57\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 817\/2*(-441 - -479).\nAnswer: 170753","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 31 = 3*z, 30 = 1536*d - 1534*d + 2*z for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -10*o - 6. Suppose -5*a + 2*s - 7 + 14 = 0, -a + 5*s = 17. Let w(u) = -2*u - 1. Determine a*p(f) - 16*w(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-18)*396\/(-880)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67466 + 89982 + 85929 - v.\nAnswer: -v + 108445","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -209*n - 28417. Calculate r(-136).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28289.65971156 + -28289.73. Let y = -0.0082872 - g. Let x = -0.062 + y. Round x to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000198616 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 + 16bec8?\nAnswer: 16beb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 7*r. Suppose 0*m + 2*m = 10. Sort m, -3, r in descending order.\nAnswer: m, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*(-3 + -1 + -1*sqrt(112) + (sqrt(112) - (1*sqrt(112)*-4 + sqrt(112)))))**2.\nAnswer: -624*sqrt(7) + 4201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*t**4 - 12*t + 163 wrt t?\nAnswer: -28*t**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425 = -10*n + 5*n. Let p = n + -45. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 52a4 - 1123a?\nAnswer: -6a46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202010010 - 110?\nAnswer: -202010120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9007, -21916, -34811, -47686, -60535, -73352, -86131, -98866?\n\"Answer: v**3 + v**2 - 12919*v + 3910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1240 = 5*w, w + 6*r - 4*r = 248. What is the highest common factor of 12 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a millennium in months?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2667.5 + -2668. Suppose 0*k = 4*a - 3*k, 26 = 2*a + 5*k. Put -4, 1\/3, a, x in decreasing order.\nAnswer: a, 1\/3, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(2 + 0) - -10. Let u = -10 + f. Suppose y + 5 - 10 = u. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/8*(-5 - -1). Let u(s) = 4*s**3 - 4*s**2 - 2*s - 4. Let d(y) = -5*y**3 + 4*y**2 + y + 5. Let o(z) = l*d(z) + 4*u(z). Is o(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1\/5, -5, 3, -2\/11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-8)*6)\/(-3). Let r be 1\/(-4) + (-42)\/24. Sort -1\/4, n, r in descending order.\nAnswer: -1\/4, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 3*j + 3. Let t be r(2). Let w(u) = 6*u**3 - u**2 + 2. What is the remainder when 53 is divided by w(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -104 + 191. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*n - 33 = 0, v - 3 = -0*n + 5*n. Let u be ((-27)\/(-81))\/(1\/(v\/2)). Solve 4*z + 2*y - 18 + 4 = 0, 0 = -u*z - 5*y for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + 9. Let c = -10 + w. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/5 - 864\/(-30). Find the third derivative of x*r**2 - 12*r**5 - 4*r**2 + 33*r**5 wrt r.\nAnswer: 1260*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y**2. Let o(d) = d**3 + 7*d**2 + 5*d - 4. Let j be o(-6). Let n(z) = -z + 4*z - 3*z - j*z**2. What is n(q(v))?\nAnswer: -72*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*3*2)\/(sqrt(40)\/sqrt(320)))**2.\nAnswer: 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 5:56 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22468 and 1.1?\nAnswer: 24714.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 27*z - 183. Give a(-33).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 2:44 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111212321 + 24?\nAnswer: -111212242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2918063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(72\/4) + 102\/54. Solve 3*h + 2*d - 5 = 0, k*h + 9*d - 7 = 4*d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (1 - 2)*1. Let d be (-1)\/(2\/10*a). Suppose -66 = 3*y - d*y. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0 = 33*i. Suppose 4\/7*w**4 + i*w**3 + 0*w - 8\/7*w**2 + 4\/7 = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10122893953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/2 + (-15)\/(-10) - -1)\/4\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**2*m - f**2*u + f*m*o*u + 11*f*u - 24*m*o**3 - o**3 wrt m.\nAnswer: 2*f**2 + f*o*u - 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2581 by 2581.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2610\/1716 + 14\/(-22). Let b be (-12)\/(-7) + 2\/7. Is b at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/148489017 and -95\/197985356.\nAnswer: 593956068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwbbyrywyryr. What is prob of sequence ww?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -2 - (-4 + (-8 - -12))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v - 110 = 0. Let c be v\/77 + (-435)\/(-21). Factor -50 - c*n**2 + 4*n**5 + n**5 - 29*n**2 - 40*n**3 + 20*n**4 + 115*n.\nAnswer: 5*(n - 1)**3*(n + 2)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/2)*k*((k**(1\/9)\/k)\/k)\/k)\/(k**(2\/19)*k**(-2\/29)) assuming k is positive.\nAnswer: k**(-4217\/9918)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 98*p**2 + 95*p**2 + 4)*(-4*p + 3*p + 2*p) to i + b*p + d*p**3 + s*p**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -655*g + 60*g**4 + 655*g + (5*g**4 + 0*g**4 - 3*g**4)*(4 + 5 + 3).\nAnswer: 84*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upd when three letters picked without replacement from {p: 2, u: 1, q: 1, g: 1, d: 1, c: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4283 + w**2 + 4290 + 3895 - 16751 + 4283.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -826 in 2, -247, 32?\nAnswer: -247","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -152 - -365. List the prime factors of f.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -31916*r**4\/3 - 31922*r**3\/3 + 159574*r**2\/3 - 31906*r - 6 = 0. Calculate r.\nAnswer: -3, -3\/15958, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqglqqoooqoqq. What is prob of picking 1 l and 1 o?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**4\/x)*x)\/x**(6\/17)*(x\/x**(-4\/3))\/x*x**(19\/2)*x*x*x assuming x is positive.\nAnswer: x**(1273\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 10. Let u be 6\/l*(-2 - -8). Suppose -u*x - 12 = -72. What is the highest common factor of x and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 2*x - x)*(3*x + x + 0*x)*(-3 - 2*x + 3).\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4702848 is divided by 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**8\/112 + l**7\/70 - 3*l**6\/40 - l**5\/4 - l**4\/4 + l**2\/2 + 3*l. Let f(d) be the first derivative of w(d). Factor f(y).\nAnswer: 3*y*(y - 2)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 47\/9 + (-4)\/18. Let d(i) = 3*i**2 - 11*i + 5. Let u be d(12). Let v = u - 302. Solve -r = -3*m, m = n*r - v*m + 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(-4\/5)*(g\/(g*g*g*g**(6\/11)*g)*g*g)\/((g*g**2)\/g)*((((g*g**(1\/4))\/g)\/g)\/g*g*g**(1\/7))**(-14\/11) assuming g is positive.\nAnswer: g**(-217\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -114, -211, -310, -411, -514, -619?\nAnswer: -726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s. Let b be i(1). Let a be b*(-4)\/(-8)*-299. Suppose 0 = -q + 2*l + a, -5*l - 1184 = -3*q - q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-8) + 5457\/(-272)*2)\/2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12*(308\/1384)\/11. Let l = r - 3916\/14705. Let n = -53\/85 - l. Which is the third smallest value? (a) -0.4 (b) -2 (c) 0 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u. Let j(l) = 4. Let g = 12 + -8. Let z = -5 + g. Let w(m) = z*j(m) - n(m). Find the first derivative of w(t) wrt t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -2. Let m = 4 + p. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*p + 48 = -32*p. Let a(b) = 3*b + 6 + 0*b - 5*b. Let v be a(-5). What is the highest common divisor of p and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 595*m**4\/12 + 65*m**3\/2 + m**2 - 517*m. Find the second derivative of y(s) wrt s.\nAnswer: 1190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**4 + 504*o**3 - 20655*o**2 - 43350*o = 0. What is o?\nAnswer: -2, 0, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 490644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 0.6. Let b = u + 1.3. Suppose -2*i - f - 2 = -4, 3*i + 4*f - 13 = 0. What is the closest to i in -0.2, 0.2, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0034669 to four dps.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-18)*0)\/((-7)\/((-35)\/15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 1.17, 75, -18, 3, -5?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 19*m - 12*m**2 - 6*m**2 + 11*m - 33*m - 9*m**2 as t*m**2 + h + a*m and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85012, 22, -15 in decreasing order.\nAnswer: 85012, 22, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 e when three letters picked without replacement from jeejejjj?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -126*b + 1. Let u(s) = -68*s - 5. What is l(u(z))?\nAnswer: 8568*z + 631","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 6:44 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3245 divided by -5?\nAnswer: -649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a + 5?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 316028 and 282.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -9583\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13 (b) -0.05 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(16) - sqrt(96)\/sqrt(6)) - sqrt(16)) + sqrt(16) + (sqrt(176)*3 - sqrt(176))\/sqrt(11))\/(sqrt(288)*-1 + 2*-2*sqrt(8)).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 49 + 11 + 1?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-560))\/(2*(-2)\/16)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10160 - -5?\nAnswer: 10165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0 = -6. Suppose -2*p + 14 = 3*p + y*d, -5*d + 2 = -4*p. Solve 2*j = -p*j + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(285) - -2*sqrt(285)))\/(sqrt(45)*-1))\/(sqrt(3) + 5*sqrt(3)*-1 + sqrt(3) + (1*sqrt(243) - sqrt(3))).\nAnswer: 3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -64. Calculate the smallest common multiple of 20 and h.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 smaller than 3227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5373.82931 rounded to 0 dps?\nAnswer: 5374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84630 + 0*h - 31*h + 84630.\nAnswer: -31*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 5*v + 125, 7*v = -b + 4*v + 33. Suppose 22*n + 30270 = b*n. Suppose -4*m + n = 2*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 3. Let p = -190 - -202. Let t(h) = p - 4 + 4 - 5*h + 4. What is -2*t(n) + 11*z(n)?\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8707027 to the nearest integer?\nAnswer: 2951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/6 or 37\/3065?\nAnswer: 37\/3065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + (-18)\/(-8))*-8. Let a be 7*11\/(385\/30). Suppose a = 4*y - 30. Is v greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76 - 75) + 0 + (2 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/119? (a) 0.4 (b) -2 (c) 5 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 at least as big as -61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2820.54518 to 0 decimal places.\nAnswer: 2821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 3*q**2 + q - 1. Let o = -34 + 33. Let f be t(o). What is the nearest to f in -7, 2\/9, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - t - 2 = 3*d, 5*t = 2*d - 1. Find the common denominator of ((-1)\/d)\/(7\/110) and 85\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3384 + 3332. Which is the nearest to 0.6? (a) s (b) 0.2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*a - 76 - 35 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 153 + -148. Suppose m = -0*h - h - 4*j, 0 = 3*h - 5*j - 19. Let p = -8 + 13. Solve h*l = 5*i + 19, 4*i + 25 = -i + p*l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*-4)\/((-2)\/5). Suppose -4*c - 280 + 288 = 0. Solve 3*j + 4*h = 13, -3*h = c*j + h - x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -0.26. Let m(a) = -a**2 + 13*a + 145. Let b be m(20). What is the nearest to v in -5, b, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4260 - -4506. Solve 0 = p*c - 253*c - 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44393940 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -3378, 6, -36 in decreasing order.\nAnswer: 6, 5, 0, -36, -3378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 64623822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrxrrxrrrr. What is prob of sequence xrxx?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*u**4 + 3066*u**3 + u**2 + 49*u - 131.\nAnswer: -96*u + 18396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 10 - (3 - 22 - 4 - -8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 31.9. Let d = 1145146\/63 - 18176. Let m = 8\/7 - d. Which is the closest to f? (a) 7 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 1. Suppose 2*n = 4*n. Let v be 2\/(-1) + 3 + n. Let l(p) = p + 1. Calculate v*d(o) - l(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 13*u - 17. Suppose 113*x + 60 = 125*x. What is the remainder when 159 is divided by o(x)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28223731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8115 or 332765\/41?\nAnswer: 8115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**3 - 2390*r**2 + 695750*r + 10980750 = 0?\nAnswer: -15, 605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 3*q - 7. Let d be b(5). What is the second derivative of 0*n**2 - d*n + 2*n**2 - 4*n**2 - n**2 wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 3)*(-4*s - 3*s + 5*s) - 4*s - s + 4*s + s + s - 4*s + 63*s - 60*s - 41*s - 3 + 3 - s.\nAnswer: -36*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**3 + 317*u**2 - 80*u + 104. Let t(h) = 4*h + 42. Calculate the remainder when t(7) is divided by p(79).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3464 - -3459. Which is the second smallest value? (a) 0.8 (b) -1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 5*j**2 + 5*j. Determine c(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -2*v - 61. Let z(a) = -917*a**3 - a**2 + 3*a + 4. What is the units digit of z(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-369)\/24)\/(((-638)\/(-22))\/(-58)).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -8*u**3\/3 - 8. Let a(y) = y**2. Calculate o(a(f)).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1194377 or 1194380?\nAnswer: 1194380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 839007.\nAnswer: 3, 13, 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2400\/4200*((-10374)\/(-12))\/(-13)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 + 742 = 3*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h - 692. Let c(s) = -22*s - 4832. What is 2*c(p) - 15*i(p)?\nAnswer: p + 716","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -19. Suppose 11*k - 8 = f*k. Let u(j) = 4*j**2 + j**2 - j**2 - 5*j**k. Let w(b) = -8*b**2. Calculate w(u(a)).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -10*i + 35. Let t be z(3). Let y(v) = -5*v**2 + 3*v + 19. Let x be y(t). Let m = -90 - x. Solve -2*k + 3 = -m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 - 5*k**2 + k**2 + 0*k**2 + 2*k**2 + 0*k**2 + (2*k + 1 - 1)*(-1 + 3*k + 1) as w + h*k + g*k**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 12:50 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503965 = 1976*g + 2189*g for g.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3185*m + 3253*m + 6596 for m.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51\/10 - -244\/15. Let n = -21787\/1950 + u. Is -1 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + 3. Let u(q) = 2*q**3 - 2*q**2 - 5*q + 7. What is the remainder when u(3) is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -33. Let b be ((-68)\/k)\/(12\/30). Let a(l) = 3*l**2 - 6*l - 9. Let r(c) = -8*c**2 + 18*c + 26. Let u(y) = b*a(y) + 6*r(y). Factor u(o).\nAnswer: 3*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 12:21 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -14*f**5\/3 - 1238*f**4 - 248608*f**3\/3 - 97496*f**2 + 466752*f + 139392 = 0.\nAnswer: -132, -3, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - ((1 - 4) + -57). Suppose 6*z - r = -4. What is the lowest common multiple of z and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 67*v**5\/6 - 1521*v**4\/2 + 208*v**3\/3 + 680*v**2 = 0. What is v?\nAnswer: -60\/67, 0, 1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -149, -9505, 1 in increasing order.\nAnswer: -9505, -149, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s\/s**(-27)*s*s)\/s))\/(s**21*s*s*s) assuming s is positive.\nAnswer: s**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + -3 + sqrt(99) + -2 + 3 + sqrt(99))**2.\nAnswer: -108*sqrt(11) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22b0 (base 13) to base 9.\nAnswer: 6616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4611176, 4611179, 4611184, 4611191, 4611200, 4611211?\nAnswer: 4611224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*g - 16*g - 17*g**2 + 5*g - 4*g**3 + 4*g - 1 - 1 to x + u*g**3 + k*g**2 + b*g and give k.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -731038 or -731033?\nAnswer: -731033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -14*n - 60. Let q(s) = -s - 1. Suppose 3*i = -t - 20, -2*i - 2*i = -t + 22. Let o(y) = i*q(y) + c(y). Is o(-13) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -31.171 and 270.\nAnswer: 238.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 633979554?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d + 4. Let z(t) = t**2 + 1. Let j be z(2). Suppose p = -0*p + j. Suppose p*i - i - 24 = 0. What is n(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341334061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2011 - -2009. What is the closest to -0.1 in q, -54, -1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02492510746 rounded to 5 decimal places?\nAnswer: -0.02493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 112*t - 516. What is l(5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-2\/19)*((q\/(q*(q**18*q)\/q))\/q)\/q)\/(q**32)**(-48))**(-20) assuming q is positive.\nAnswer: q**(-576880\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 6:46 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*j = -2*y + 32, -5*j + 212 = -3*y. Suppose -x - 3*x = -j. Let s(o) = o - 2. What is the units digit of s(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -13*g**4\/24 - 12*g**2 - 1. Let u(w) be the second derivative of -2*w**3\/3 + w. Determine u(t(i)).\nAnswer: 52*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 859583359 to the power of 1\/2, to the nearest integer?\nAnswer: 29319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 450964*i + 25421066162.\nAnswer: 2*(i + 112741)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)*p)\/p*p**25*p**19\/p*p**(2\/7) assuming p is positive.\nAnswer: p**(289\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -156. Let t = 5 - k. Let x be t\/12 + 1\/(-4). What is the highest common factor of x and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 - (-5 + 11 + -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 2\/(-4) - (-4)\/(8\/45).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 276 and 16967100?\nAnswer: 16967100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(6)\/sqrt(3) + sqrt(2))*4.\nAnswer: -4 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 5*t**5 + 15*t**4 - 65*t**3 - 235*t**2 - 240*t - 80 = 0.\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13841132783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, w: 5, d: 8}. What is prob of picking 2 w and 1 i?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o - 170 = -30*o. What is the highest common factor of 17 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/(((r**(-2\/15)*r)\/r)\/r*r)*r*r**0*r**1*r**(-1\/4)*(r**(-6\/5)*r)\/r**(-2)*(r\/(r**(1\/4)\/r))**18 assuming r is positive.\nAnswer: r**(2231\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -407 + 547. What is the remainder when o is divided by 75?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -105 - -872. What is the highest common factor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2783, -4759, -6735?\n\"Answer: -1976*g - 807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y. Let c(q) = 33*q. Calculate c(l(p)).\nAnswer: -198*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**3\/6 + 6*f. Let l(y) = 18*y**2. Calculate j(l(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -8, 4 in ascending order.\nAnswer: -8, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -1\/3 (c) 153\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 119736784797 and 0.1.\nAnswer: 119736784797.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 7*i - 6*i - 52347, 0 = -20*d + 5*i + 261705. List the prime factors of d.\nAnswer: 2, 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*f = -73 + 76, d - f = -1. Let b = 1 + -2. Suppose -4*x - 14 - 6 = 0. Sort -3, b, x, d in ascending order.\nAnswer: x, -3, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 18. Suppose 2*k - s*o = 2*o - 20, -k - 3*o + 5 = 0. Sort k, 0, -40.\nAnswer: -40, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3971*y**2 + 5*y + 1983*y**2 - 15*y + 1990*y**2 + 71 as u*y**2 + i*y + c and give c.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 27328*x - 2. Let n be d(1). Suppose 6526 = 4*y + n. What is y rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*j = -786*j - 10700 - 28722 for j.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 674.9139ng?\nAnswer: 0.0000000006749139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 79*k - 20. Let g be p(10). Let n = g - 361. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.188, -4, 1\/6, -2\/9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13250 - 1422 - 10152 + 5976 - 5582)*(2 - c - 2) to the form l*c + t and give l.\nAnswer: 24430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 20*v**3 - 11*v**2 - 11*v + 11. Let g be (-24)\/14 + 6\/(-21) + 13. Let z(t) = -7*t**3 + 4*t**2 + 4*t - 4. Determine g*z(h) + 4*x(h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, x: 8, a: 4, w: 1}. Give prob of sequence aa.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 375 + 771 = i, 4*i = -5*b + 4590. Suppose 3950 = 8*l + i. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2369, -2430, -2491, -2552?\n\"Answer: -61*y - 2308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.6 take away -1?\nAnswer: -31.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -7 + t**4 - 1\/2*t**2 + 0*t**3 + t. Calculate d(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 3*y - 84. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d**2. Let k(q) be the first derivative of 34*q**3\/3 + 113. Give k(y(f)).\nAnswer: 850*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 10 = 4*d, 0*o = -3*o + 3*d - 6. Calculate the smallest common multiple of 50 and ((-1)\/o)\/((-4)\/(-96)).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 160\/698879 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m = -21*m + 34*m + 3*z + 108, -4*z = m + 165 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qdyddqdqqyqdd. What is prob of picking 1 q, 1 y, and 2 d?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**4\/8 + r**2. Let f be s(4). Let g be (f\/30)\/((-2)\/20). Solve -w = 4*p + 6, -4*p - 12 = g*w - 0*p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 542\/(-6)*(-6)\/(-14). Let t = -39 - g. Let h(b) = -3*b + 8. Let p be h(3). Which is bigger: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 535 is divided by 58?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7980184 is divided by 1191?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.2099032 kilograms?\nAnswer: 209903200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1340 = 250*y + 85*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322*x + 53 + 1014*x - 54 - 432*x - 412*x.\nAnswer: -152*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 369066 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j. Let g(b) = 20*b. Let k be 1958\/77 + 110\/(-77). What is k*m(s) + 3*g(s)?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a kilogram in grams?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 12 = -3*t - p, 0 = 3*p - 27 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 2*q + 4 = 0, -u - 1 = -5*q + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -59140 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84 + -141. Put l, 4, -4 in ascending order.\nAnswer: l, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -4\/7 (c) 2\/3 (d) -2821 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3267695, 3267672, 3267633, 3267578?\n\"Answer: -8*i**2 + i + 3267702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) -0.5 (b) 5\/3 (c) 38319.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 4 + 4)*(2639 + 8210 - 2412) - 2*s**2 + 5*s**2 - s**2.\nAnswer: -16872*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103*i**4 + 3 + 3669*i**2 - 3667*i**2 - 37*i**4 to the form g*i**2 + f*i**3 + h*i + v + p*i**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 4a1?\nAnswer: 4a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*m + 9, z - m = -18 + 5. Let v be 2\/2*(-20 - -1). Let r = z - v. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1175 is divided by 385.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 54, -5, -0.08, -69?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1115, -3031, -4947, -6863?\nAnswer: -8779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 873 = -868. Let l(x) = -x**3 - 5*x**2 - 7*x - 2. Let p(d) = -d**2 - d. Give a*p(t) + l(t).\nAnswer: -t**3 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -6) + -5 + 2 + 19 + -5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*u - 2*y, -y + 12 - 31 = -5*u. Suppose -20 = 4*s - s + 5*w, u*w + 16 = -3*s. Differentiate s - 10*o**3 + 11*o**3 + 6 wrt o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2271 >= -2246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 6*w**2 - 7. Let t(m) = 2*m**3 + 11*m**2 - 13. Suppose 3*g = 1241 - 1274. Calculate g*k(v) + 6*t(v).\nAnswer: v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r. Let b(m) = -m**3 - 2*m**2 - 2*m - 2. Let g be b(-2). Let i(q) = -3*q + 3*q - g*q + 0*q. What is h(i(j))?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -8*r - 61. Let z(j) = 8*j + 76. Let s(c) = -5*a(c) - 4*z(c). Suppose -2 = 2*t - 0. Determine s(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 7, -579920.\nAnswer: -579920, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2255685731 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 - 2\/(3\/3). Suppose -9*i = -j*i - 21. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5834, 5825, 5816, 5807?\nAnswer: 5798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-2\/3)*s)\/(s**(5\/3)\/s))\/((s**(-3\/7)*s)\/s**(-2)))**(-30) assuming s is positive.\nAnswer: s**(400\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 4*r)*(-2*r + 0*r - 6*r) + (-1 + r + 1)*(-3*r - 2 + 2) to w*r + v*r**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*g - 4*c, 0 = -3*g - 4*c + 20. Suppose g*k = 2 - 6, 0 = h - 5*k - 4. Let u(v) = -35*v**3 - v**2 - v. What is the units digit of u(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 6, -2\/11, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (50\/(-8))\/5 - 123\/(-82). Let a be (-24)\/(-15)*(-5 - 0 - -3). Which is greater: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6892484281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/25, -1\/3, 7?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -282*s**4 - 156224*s**3 - 3473434*s**2 - 16721804*s + 237888 = 0. What is s?\nAnswer: -531, -16, -7, 2\/141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**3 + 24*g**2 - 15*g + 24. Let d be p(-13). Let c = d - -322. What are the prime factors of c?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 95 + (-1760 - -1757)\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 13*c - 15. Let w be a(-11). Let b = 12 - w. Suppose -b*h - 3*l = l - 117, -5*h = -l - 127. Calculate the highest common factor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 385 times -47.6\nAnswer: -18326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 5*z**2 - 5*z - 1. Let m be x(-4). Let t = -3 + m. Let g be -1*(t - -2)*-1. Solve -2*l = -14 + 4, -5*l + 21 = -g*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.2598 to 1 decimal place.\nAnswer: 79.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -1. Let h(f) = -25*f - 7. Let w(k) = 22*k + 2. Let t(c) = 8*h(c) + 9*w(c). Determine -t(u) + 5*x(u).\nAnswer: 2*u + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 - -61. What is the closest to y in -5, -2\/3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101100100001 + -10000101010?\nAnswer: 10011011110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h + 1. Let p be k(-4). Suppose -z + 22 = -3*z. Let m = p - z. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 2*f - 66 = 0, -10*z + 38*f = 35*f + 121 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -941303, -941308, -941317, -941330, -941347, -941368?\n\"Answer: -2*w**2 + w - 941302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -624880, -1249683, -1874486?\nAnswer: -2499289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j + 0*j - 2*j - 4 - 58*j + 3 + 16*j + (2 - 4 + 1)*(0*j - 3*j + 5*j) + j - 3*j + j.\nAnswer: -43*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, d: 7}. Give prob of picking 4 d.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-8))\/((-2)\/8). Suppose i*b - 11 = a, 24 = -2*a - 2*a + 3*b. Sort a, 0, -1.\nAnswer: a, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + m. Let p(j) = -j**3 - j + 114. Let n be p(m). Let r = n + -71. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17.7, 19, -2, -1\/11 in decreasing order.\nAnswer: 19, -1\/11, -2, -17.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*t - 9. Let a(h) = 9*h + t - 15*h - 3*h**2 + 2*h**2. Suppose -l = -0*l + 2*d + 8, 5*d = 5*l + 25. Determine a(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuummuymmuumyuu. What is prob of picking 1 y, 1 m, and 2 u?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 + 92. Suppose 0 = -4*g + 8*g - 64. Let f = g + -11. What is the remainder when o is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -384228, -768453, -1152678, -1536903, -1921128, -2305353?\nAnswer: -2689578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(-1\/2)))**(1\/29))**(-5\/6)\/((w**(1\/4)*w)**(-12))**28 assuming w is positive.\nAnswer: w**(146165\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y - 3. What is g(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-8))\/((-1)\/4)*2965\/1779.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = -5*l, 0 = -n - 2*n + 2*l + 9. Suppose n*p = -7*p + 280. Suppose -32*d = -p*d - 16. Solve -c = 3*x + d*c - 4, 4*x - 2*c = -12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 324 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 173 (b) 3 (c) -0.4 (d) -1\/6 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(2\/7)*x)*x)\/x)**(-1\/4)\/(x**0*x\/(x*x**6)) assuming x is positive.\nAnswer: x**(85\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-58))\/((-344)\/9976)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, c: 1, g: 3, u: 6, n: 3}. What is prob of picking 3 u?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/5 + 417244*g\/5 + 417246\/5.\nAnswer: -2*(g - 208623)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + i - 2. Let y be j(3). Let k = 11 + y. Suppose -2*c + 12 = -5*u, 0*u = -k*c - u + 52. Solve -3*b + 10 = -a - 7*b, 5*a - c = 2*b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 - (43 + -31 + -26)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 c when three letters picked without replacement from kccccdckcc?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-539 + 0*t**2 + 562 - t**2)*((0 - 3 - 1)*(4*t - 4*t - 2*t) + 12 - 12 + 4*t).\nAnswer: -12*t**3 + 276*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275103370.\nAnswer: 2, 5, 27510337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 14 = 3*a, 4*z + 12 = -a + 5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 745635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 125. Let f(j) = -33667*j. What is f(p(c))?\nAnswer: -33667*c + 4208375","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: 22540 (base 6) to base 13\nAnswer: 1614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 81799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 s when four letters picked without replacement from {g: 5, s: 2, q: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a millennium in decades?\nAnswer: 1340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263 (base 16) to base 2.\nAnswer: 1001100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*w = -93*w + 4. Let n be 4\/1*(-3)\/(-4). What is the second smallest value in w, 0.3, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, 1, -20, 203 in descending order.\nAnswer: 203, 1, -20, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -1\/6*k**4 + 16*k**2 + 0 + 0*k + 1\/30*k**5 + 0*k**3. Determine m(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 278, 4, -0.4.\nAnswer: -0.4, 4, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 269\/114 - 48\/19. Let u = 18.9 + -36.9. Which is the second smallest value? (a) j (b) -1\/2 (c) u (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 37 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11\/5 - -223\/10. Let w = 10289 - 61871\/6. What is the common denominator of w and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 7*j**4 + 0*j**4 + 2*j**4 + 3*j**4 - j to the form c*j**4 + r*j**2 + k*j + p*j**3 + v and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/((-27)\/8))\/(4\/18). Let s(y) = 17 - 7*y**2 + y**2 - 14*y - 3*y**3 - c*y + 25*y. List the prime factors of s(-5).\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-20)*8*70\/224. Let t be (-136)\/14 - 5\/((-35)\/(-2)). Let h = 5\/4 + -73\/52. What is the closest to 3 in t, h, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, k: 1, h: 4, t: 1, q: 1}. Give prob of sequence kh.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 20*q**2. Let p(a) = 17390082*a**2. Determine p(h(o)).\nAnswer: 6956032800*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 12*w**5\/5 + w**4\/4 + 245*w**2\/2 - 281*w. Differentiate b(z) wrt z.\nAnswer: 144*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 27. Suppose d*q - 10 = q. Suppose 2*a + 3*z = 104, q*z = 3*a + 5*z - 175. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + 1 + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-15580)\/(-6)*1470\/1225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83 by -4.\nAnswer: 83\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/(-27) + 142\/(-12). Let k = -17 - f. Let z = 0.94 - 0.94. Which is the second biggest value? (a) -5 (b) z (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24955207 + -0.1.\nAnswer: -24955207.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222341, 444842, 667457, 890192, 1113053, 1336046, 1559177, 1782452?\nAnswer: 2005877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92374 + -92376.699874. Let s = z + 2.7. Round s to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 8)*(2*t + 2*t - 2*t) - 4*t + t + 2*t.\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3780, -3762, -3720, -3648, -3540, -3390, -3192, -2940?\n\"Answer: o**3 + 6*o**2 - 7*o - 3780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b + 2 - 2)*(-b - 2 + 2) + (4 + 2 - 3)*(106*b**2 - 12*b**2 - 25*b**2) as o + c*b**2 + x*b and give c.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2*i)\/(i**(-3)\/i)*(i**(-2\/23)*i)\/(i*i*i**(-7)) assuming i is positive.\nAnswer: i**(297\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 1655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*(-4 - -3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**2 + 797*u + 323*u + 42*u + 76*u + 5*u**2 as o*u + t*u**2 + c and give o.\nAnswer: 1238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 956247 smaller than 956253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 36*(-2 + 9\/4). Suppose -i = -3*c + m, -3*c + 5*i + 13 = -4*c. Suppose -6 = -4*q - c*y, -y = -3*q + y + 22. Is 1 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4570, -4572, -4574, -4576?\nAnswer: -4578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 + -31. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 689, 2\/17, 42\/5?\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -9. Suppose -3*v - b*w - 75 = 2*w, -3*v - 4*w = 72. Is ((-11)\/2)\/(2\/v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*i - 213 - 235 = 0 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2151 - -2151.06. Sort h, -0.3, -1.4, -2\/13 in descending order.\nAnswer: h, -2\/13, -0.3, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18724708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.0802077 - 4.0802082. Let w = -16 + 13. Let g = o - w. Round g to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 11*z - 172. Let x be z\/(7\/2*(-220)\/77). What is the smallest value in 2\/13, -3, x, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**4\/8 + 57*p**3\/4 + 237*p**2\/8 + 15*p = 0?\nAnswer: -1, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3456 (base 10) to base 9\nAnswer: 4660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 3*v + 9 - 3, -s - 2*v = -4. Let h = 3052\/11 + -278. Is s at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x**3 - x)*(2*x**2 + 164 + 16 + 45).\nAnswer: -2*x**5 - 225*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -769 and -34003.\nAnswer: -34772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8\/193, 7, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/3 - 66604*v**2\/3 - 466130*v\/3.\nAnswer: -2*v*(v + 7)*(v + 33295)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 2*n - 22. Let l be v(4). Solve 5*g + 3*x = -9, l*g - 3*x + 16 = 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.0294 + -0.0294. Let m = 1.6 - 1.5. What is the fourth biggest value in -1\/2, o, 0, m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/30*(-45)\/30.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 99 = 3*x, 3*x - 111 = 4*i - 7*i - 21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215090970?\nAnswer: 2, 3, 5, 17, 29, 14543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 7:25 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -6 - (30 + -35)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 82*s - 1. Let m(g) = 165*g - 2. Calculate 2*m(w) - 5*t(w).\nAnswer: -80*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/8463 and 11\/1039620.\nAnswer: 2932768020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 320010 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**4 + g**4 - 6*g**4 + (-4*g**2 + 0*g**2 + 2*g**2)*(-5*g - 2*g**2 + 5*g) - g**4 + 5*g - 5*g + (1 + 2 - 1)*(g**4 - 2*g**4 + 3*g**4).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.95 and 22.\nAnswer: 22.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 3. Let t be w(3). Suppose 3*z - 3*b + 19 = 1, 2*z + b - 3 = 0. Let i(n) = 3*n. Let c(p) = p. Let u(k) = z*i(k) + 4*c(k). Give u(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 5:41 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -22070.37484\nAnswer: 22064.37484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -12*z**3 + 3*z**2 + 3*z + 3. Let h(t) = 12*t**3 - 2*t**2 - 2*t - 2. Give -3*h(n) - 2*w(n).\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3229 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -31*r + 47. Determine v(4).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12274 and 912?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from csd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 27*o**3 - 14*o**2 - 16. Let h(n) = -n**3 - 4*n**2 + 1. Give 3*h(i) - z(i).\nAnswer: -30*i**3 + 2*i**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 72 = -3*o - w, w + 4 = 0. What is the remainder when o is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -0.2, 1\/5, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 184 = -2*c + 66, -8 = 2*c. Is (77\/z)\/(1\/(-94)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, c: 6, f: 1, a: 3}. What is prob of sequence acac?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 - 8*i**2 - 15*i**2 to t + j*i**2 + v*i and give j.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nunnnuunnnnn. Give prob of picking 3 u.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*j - 18. Let a be (2 - 1)*-3 + j. Suppose -8 = -4*s - a*u, -u + 2*u + 24 = 4*s. Solve -10 = s*b - 2*i, -i = -5*b - 6*i - 45 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 168291 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 18 = f. Suppose 0 = -2*k - 2*j + 8, k + 10 = 5*k - f*j. Factor -k - 5 + 36*s - 3 + 3 - 28*s**2.\nAnswer: -4*(s - 1)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 take away -0.5?\nAnswer: 596.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8398 = -100*w + 2402. Calculate the highest common divisor of w and 2220.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 4*x + 42, 5*y - 1 = 3*x + 55. Suppose y - 65 = -5*m. Calculate the greatest common divisor of 77 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3410\/3 - 1126. What is the common denominator of ((-4990)\/180)\/(-1) - (-2)\/(-9) and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/79802 and -8\/39901.\nAnswer: 79802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 602 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 360, 817, 1466, 2313, 3364, 4625?\nAnswer: 6102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.8707 rounded to 0 decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9481, 10088, 11097, 12508, 14321?\n\"Answer: 201*a**2 + 4*a + 9276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53599*c**2*y + 3029*y - 2 wrt c.\nAnswer: 107198*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 27*5\/((-5)\/(-1)).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -588, 2192, 4970, 7746, 10520, 13292?\nAnswer: 16062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -14*(64\/12)\/((-2)\/6). Round i to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 2. Let r(w) = w**2 + 4*w - 3. Let h be r(m). Let i = -14.1 - -14.6. Put i, 2\/9, h in decreasing order.\nAnswer: h, i, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66691.89s in milliseconds?\nAnswer: 66691890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {e: 4, h: 2, r: 3, n: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2.201725s?\nAnswer: 2201.725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2144 + -1208. Let g = -936.28 + v. Which is the nearest to -1\/2? (a) g (b) -3\/4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -211186*l + 2. Let w(j) = 17*j**2. What is b(w(n))?\nAnswer: -3590162*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((-4)\/(-8) - -4). Let d = -0.22 - 0.08. Let q = -2.3 - d. Which is the second biggest value? (a) q (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1325362 (base 9) in base 8?\nAnswer: -2611226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*u**3 + 1\/2*u**4 + 0 + 0*u**2 + 2*u.\nAnswer: u*(u - 2)**2*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 52, 29, -8, -65, -148, -263?\n\"Answer: -h**3 - h**2 - 13*h + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 34273?\nAnswer: 34272.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-4)*n*n*n\/(n**(-1)*n))\/(n**(-4)\/(n*n**(6\/5))) assuming n is positive.\nAnswer: n**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13118 + 2996 = -6*g. Suppose 0 = 3*t - 2 - g. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(135)*1)\/(((sqrt(3) + sqrt(3)*-1)*1 - sqrt(3)) + sqrt(3) - sqrt(3)))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a day in seconds?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-6 - (5 - -12)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130644.\nAnswer: 2, 3, 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3090.512l to millilitres.\nAnswer: 3090512","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Put -250, -5, 4, -4, 5, 31 in ascending order.\nAnswer: -250, -5, -4, 4, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**4\/2 - 7*g**2. Let u(a) = 6*a**2 - 4. Let r(q) = 17*q**2 - 11. Let s(l) = -4*r(l) + 11*u(l). Determine m(s(o)).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-1))\/(7*(-2)\/14)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.029 - 5.029. Is 2\/3 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4807*h - 9580*h + 4813*h.\nAnswer: 40*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29241 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46714.\nAnswer: 2, 23357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1303 - -2?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 79 (b) -0.4 (c) -4 (d) 2\/3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64124\/1644 - (-15292)\/(-3142506).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -980 divided by -6?\nAnswer: 490\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 19 = 2*d - 1, 0 = 5*d + 4*z. Let s be 144\/30 + d\/5. Let o be 1\/(-2) - s\/(-16). Does o = 8\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 114 = 54. Let y = 44 - c. Solve y*z - 2 + 4 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.589 - 0.889. Which is the nearest to 5? (a) f (b) -2\/3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17, -1\/8, -138758?\nAnswer: -138758","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032342 (base 5) in base 11?\nAnswer: 12455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -6*h + 4*s + 8, 2*h - 4*s = -4. Let w = 21 + -12. Put w, h, 5 in descending order.\nAnswer: w, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 - 6*k + 8. Let t be d(2). What is the nearest to -1 in -10, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 7:28 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21.97866608 + 43.4190146. Let v = a - -14.5596508. Let d = v - 36. What is d rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*a + d = 9, 4*d - 8 = 2*a. Solve -3\/5*k - 1\/5*k**3 - 1\/5 - 3\/5*k**a = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + -8. Let a(o) = -o - 3. Let y be a(k). Let i(n) = 2*n**2 - 10*n. What is the tens digit of i(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 13*v + 1. Let k(p) = -44*p + 3. Let w(f) = 29*f - 2. Let l(x) = -2*k(x) - 3*w(x). Calculate l(z(j)).\nAnswer: 13*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: -3485 divided by -205\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10840 - -6417. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from tooqxookkqoo?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -844 + 862. Calculate the smallest common multiple of 228 and n.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10, z: 4}. Give prob of picking 2 z and 1 o.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -36*y - 1. Let w(a) = -36*a - 1. Let s(m) = -4*w(m) + 5*z(m). Let o be s(-1). Suppose b - o = -0*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 210\/525*(10720 - 0). What is the greatest common divisor of 67 and y?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1061.7 + 1062. Sort 10, 3, -5\/4, g in decreasing order.\nAnswer: 10, 3, g, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 9 = -4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/90*(-2)\/(-7).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 - 17*q + 10. Determine m(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 3*h**2 + h + 2. Let a be u(2). Solve a = -4*x - 3 + 19 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-214)\/780 + (-3248)\/(-10556).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2 + 3 = -5*m, -5*m + 7 = n. Let v be 1\/(1\/4) - n. Let j = 15 - v. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -56702043\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 3*a**2. Let s be q(3). Let k be (s + 3 + -4)\/(-1). What is the units digit of 219\/6 + k\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 201785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -2*q + 336. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19845 and 3645?\nAnswer: 178605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 32 + 4. Suppose -o - d = -19. Suppose -o*q - 4 = -8*q. Which is bigger: q or -10\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102 + 3*f + 102.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**3 + 327*s**2 - 442*s + 6281. Determine n(-67).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1.63, 2\/7.\nAnswer: -1.63, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -10*y - 38. Let a be f(-4). What is the third derivative of -54*z**6 - 209*z**4 - 23*z**a - 6*z**2 + 209*z**4 wrt z?\nAnswer: -6480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 56? (a) 1\/2 (b) -2\/5 (c) 2\/7 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 657 + -366. Let n = -293 + v. Let d = 11\/30 + 1\/30. What is the fourth biggest value in -0.5, n, 5, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 8) + (11 - 22).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*d = 174*d - 25570. What is d rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -320 - 20321020?\nAnswer: -20322000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 22 + 23. Let a = n - 6. Solve -4*i + 5*x = 12 - 5, a*i + x = -10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*b**3 - 69*b**3 - 43*b**3 + 6*b**3.\nAnswer: -162*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3791*b - 335358 = 135236 + 105638 for b.\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34 - 1?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 8*v - 2. Is 8 a factor of d(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 13*t**2 + 7*t. Let d(f) = f**2 + f. Let a(i) = -6*d(i) + y(i). Let g(r) = 8*r + 187 - 208 + 21. Give a(g(b)).\nAnswer: 448*b**2 + 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + (-1 + -3*sqrt(208))**2*2 + ((2 + sqrt(208) + sqrt(208))**2 + -1 - sqrt(208) - -4*(2 + sqrt(208))**2)).\nAnswer: -21724 - 560*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 2)*(-5*m**3 + 7*m**3 - 9*m**3).\nAnswer: -21*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017385475 to five dps.\nAnswer: -0.00174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*g + 3*g, -3*l = 3*g - 15. Suppose -l*j = 2*j - 12. Let u(d) = d - d - j*d. Let w(f) = -2*f**2. Determine u(w(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*q - 7*q + 322*q = 6248 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.323 + -0.323. Suppose 3 = l + 2*l, 4*l - 2 = f. Let w = 10\/11 + -9\/22. Which is the nearest to f? (a) 1 (b) u (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 1. Let n be f(-1). Let p(w) = -w**2 - w - 4. Let m be p(0). Let x = 0 - m. Sort n, x, 2.\nAnswer: n, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-608)\/64)\/(-1 + 137\/138). Is s\/76*44\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = q + 3*q + 18, -2*d + 14 = -5*q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12813303827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 175 = v, -328 = 4*v + i + 387. Let s = -43 - v. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33650977*o**4 - 14020095 with respect to o.\nAnswer: 134603908*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 8*y. Let c be z(11). Let w be 1*(0 - 6\/c). Let h = -295 - -290. What is the second biggest value in -2, w, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x - 8. Let p be q(-12). Let k = 3 + 2. Which is smaller: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, u: 1, v: 7, a: 1}. Give prob of sequence vaaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122457621?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 16*y**2 - 26*y + 43. Let a be o(-19). Let n = -390 - a. Does 78 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - g - 1 + 2)*(30*g**2 - 247*g - 2 + 247*g).\nAnswer: -30*g**3 + 30*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from jbubbbbjjj?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 3:00 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/3)\/(-11*12\/(-396))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3469.59*-0.3\nAnswer: 1040.877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a3591 (base 11) in base 15?\nAnswer: -10a9ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 74150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a2 (base 11) in base 15?\nAnswer: -189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m - 20*m + 251482 = 0. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3509\/7 and 501 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375*p + 371*p = 757*p - 2772. What is the lowest common multiple of 672 and p?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 111*b - 4559. Determine k(41).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02169365702 to four dps.\nAnswer: -0.0217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 10 = 8. Let t(m) = 2*m**3 + 33*m**2 + 15*m - 12. Let v be t(-16). Put -5\/3, -5, b, v in decreasing order.\nAnswer: v, b, -5\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) -1 (c) -4\/7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*n - 27 = -6, -4*o + 2*n = -16. Solve -w + o*w + 12 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -165 in 38, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2 + sqrt(1573) - sqrt(1573))**2)*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 43. Let w = -32 + -14. What is the units digit of (-4)\/14 + w\/f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17336*s + 197560 = 1151040 for s.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 7238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2555 divided by -38\nAnswer: -2555\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -41+2\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7709399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 5, 6, -3 in ascending order.\nAnswer: -3, -2, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 4*c**5 + (1 + c**3 - 1)*(0*c**2 + 3*c**2 - c**2) + 3*c**4 + c**5 - 3*c**4 + 0*c**5 - 2*c**5 + 0*c**5.\nAnswer: -3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(6*1\/(-4)). Find the third derivative of 0*l**c + 3*l**4 - 3*l**2 + 0*l**2 wrt l.\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(40\/(-25))\/(-8)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 11*d**2 + 110*d + 85. Give n(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14\/(-35))\/(32\/30). Let c = 772\/7 + -110. What is the closest to c in y, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 46*c**3 + 2*c - 1. Calculate the remainder when q(1) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 487*s + 132 - 132.\nAnswer: 487*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1110.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4890 + -3208. Let m = v - 341. What are the prime factors of m?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v - 7*v + 30. Suppose -468 = -4*m + v*m. What are the prime factors of m?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 10. Let g = 35.1 - 35. What is the third smallest value in g, 1\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -151 - -91. Let l = z + 62. Suppose l*s = -2*x + 736, -3 = s - 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3103264 by 3.\nAnswer: 3103264\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 b when three letters picked without replacement from {b: 2, l: 2, c: 1, h: 1, r: 2, a: 5}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 38. Let u(z) = 4*z - 10. What is the units digit of u(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1185 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 197340 a multiple of 429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.802 - 14.802. What is the biggest value in 4, -1\/5, b, 1, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -708 - -708. Are -1\/276 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1807604139 to three decimal places.\nAnswer: -0.181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1859, 1767, 1687, 1625, 1587, 1579?\n\"Answer: l**3 - 99*l + 1957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-2)\/18*3 + (-3976)\/(-21) and 7.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 24*z + 3. Let w be a(0). Solve 5*x - x - w = -i, 3*i + 5*x - 2 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 7 = -2*g, -3*g - 6*c - 1 = -11*c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**3 + 4*u**2 - 67. Let n be b(-7). Calculate the greatest common factor of 10 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 16) in base 2?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14411.3 - -0.2.\nAnswer: -14411.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -1, 170, 1, 31, -4 in decreasing order.\nAnswer: 170, 31, 3, 1, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 5*r - 5*k, -5*r = -4*k - 9 - 36 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -5*n + 26, -2*n = 4*g - 8 - 8. Suppose 0 = -0*o - 2*o - n*b + 4, -3*o - 3*b = -3. Suppose 3*y + y - 52 = o. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37596133 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**6\/120 + o**5\/30 - o**4\/12 + o**3\/6 + 43*o**2 + o. Let i be r(0). Let p = -6 + 3. Put p, -4, i in descending order.\nAnswer: i, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(88)\/sqrt(11).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, o: 2, g: 1}. What is prob of sequence oqg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 427964 divided by 19?\nAnswer: 427964\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 4*w + 3. Let u be d(-5). Suppose -2 = z - c, 2*z - 4*c + u = -0*z. Suppose z*s - 8 = -4*s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 12:52 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**2 + 85*r - 1734. Give n(14).\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 6. Let l be w(-6). Suppose 0 = -2*z + 4*z - 8. Let f = z - l. Solve -a - a = -f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -176*a**2*n**4 + 3619*a**2*n**3 + 1730003*a**2*n**2 + n**3 wrt n.\nAnswer: -4224*a**2*n + 21714*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*l**3 - 157*l**3 - 337*l**3 + 84*l**3.\nAnswer: -650*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/35)\/(2\/(-5)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 586, 512, 436, 358, 278?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-4))\/(3\/19794). Let s = u - 16557\/5. Let n = 1181\/2 + -618. What is the common denominator of s and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -11. Suppose 0 = -4*a - 16, -g = 3*a - i*a + 8. Suppose -5 = 4*v + v, r = -v - 5. Sort -1, r, g.\nAnswer: r, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*y - 5*x, 3*y + x + 1 = 4. Let o(c) = 1 - y*c + 4*c - 4*c. What is o(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*z + 1679 - 700. Let t = -2 - -20. What is the remainder when z is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(5) + 3 + 1 + sqrt(5)*-1.\nAnswer: -3*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 68933 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -137, -321, -673, -1247?\nAnswer: -2097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + s - 33, 2*s = 5*b - 0*s - 51. Solve -4*l = -b*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011111 (base 2) in base 8?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 4:14 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8239042034 rounded to the nearest 100000?\nAnswer: 8239000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220 = n - 5*n - 36*l - 45*l + 85*l, -4*n + 32*l = -1760 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 + 4*m - 3. Let n be r(1). Let j = 10 - 7. Suppose -j*l = -5*x + n*x + 338, -5*l = -20. Is 36 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 2*g + 2. Let h be d(-4). Find the third derivative of -h*m**2 - 3 + 5*m**2 + 3 + 5*m**3 wrt m.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -200*h**3 + 25*h - 25. Let p(r) = 25*r**3 - 3*r + 3. Suppose 2*z - g = -51, -72*z + 74*z + 4*g + 46 = 0. Determine z*p(u) - 3*q(u).\nAnswer: -25*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdwu when four letters picked without replacement from {m: 3, d: 7, t: 1, u: 2, w: 1}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25 - -832?\nAnswer: 80c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -265 - 8*x**2 - 24*x - 19*x + 36*x + 7*x as u + r*x**2 + y*x and give u.\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128315 divided by 5.\nAnswer: -25663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-6)*w\/(w**(1\/3)\/w*w))**(3\/10))**(-2\/21) assuming w is positive.\nAnswer: w**(16\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35909588*z**3 - 3*z - 61218290.\nAnswer: 107728764*z**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-3 - (-5 - -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 28. What is the remainder when (-1 + u\/3)*-21 is divided by (1\/1)\/(3\/15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/136 + (-15018)\/(-688) - (-93 - -115).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-40)*-2)\/(((-917280)\/1225)\/48).\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(-1) - 2\/2. Let f be o\/28 + (-88)\/(-14). Suppose -f*x + 3*x + 171 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*r = -423, -2*d - 477 = -5*r - 1348. Let u = d - 209. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 18*t + 75. Determine b(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 - 3234553?\nAnswer: -3235023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**3\/7 + 188*n**2\/7 - 348*n\/7 - 540\/7 = 0. What is n?\nAnswer: -1, 3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 154360?\nAnswer: 1\/154360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 31 = -2*m - 13, 0 = -3*m - 3. Suppose -f = -5*g - 0*g + 6452, i*g - 6440 = 5*f. Let r = g - 798. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8 + ((-2)\/(-4))\/(2\/8). What is the hundreds digit of (2\/3)\/(r\/9810*-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2969472921 to the nearest integer?\nAnswer: 1437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, 730, 2116, 4056, 6550, 9598, 13200?\nAnswer: 17356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 184 - -19. What is the remainder when w is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 86 = 2464. Let q = l - 1286\/3. Which is greater: -0.2 or q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 12*d**2 - 11*d + 2. Let h be p(-11). Suppose -h*y - 2 = -10. What is the least common multiple of 2 and ((-50)\/(-5))\/(2\/y)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 22884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 2, -20, -60, -124, -218?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -362*f - 31881 + 47447 for f.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22656 and 4956?\nAnswer: 158592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8160.4409 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -2 in ascending order.\nAnswer: -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 1193*s - 1190*s + 12818 = 0, 3*s + 19224 = 3*p. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/20 of a millennium?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 189, -4\/9, 0.4, -7, 1, 1712?\nAnswer: 1712","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2161 - 2151) + (0 - 51).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (121*f + 3*f + 153*f)*(-7*f + 10*f - 32*f).\nAnswer: -8033*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 11:15 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -15 (b) -0.18 (c) -1.8 (d) 3\/188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 q when four letters picked without replacement from {p: 4, b: 4, a: 9, q: 2}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -733, -2926, -6573, -11668, -18205, -26178, -35581?\n\"Answer: q**3 - 733*q**2 - q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p. Let d(i) = -16*i**2 - 8*i**2 - 23*i**2 + 71*i**2. Calculate d(k(q)).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 15 - 34)*(-4*o + 2*o + o) + 2*o - 1 + 1.\nAnswer: 51*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10 - (10 + (9 - 9)). Solve h = -4*z - 8 - 12 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.72494 to one decimal place.\nAnswer: -46.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 77*i - 56. Let u(t) = 7*t - 5. Suppose 2*o + 15 = 27. Let g = 50 + o. Let j(l) = g*u(l) - 5*v(l). Let c(b) = b**2. What is j(c(p))?\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6\/3*(-12)\/72*(-42)\/(-2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -25. Let b(o) = o**2 + 10*o + 2. Let t be b(m). Factor c**2 + 2*c**t - 3*c + c - 4*c.\nAnswer: 3*c*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 22 = r, -2703*j + 2705*j + 3*r - 24 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 27931020 divided by 5586204\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 178 + -177.376. Let r = n - 0.53. Round r to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 477186339.\nAnswer: 477186340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014832228556 to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.078 (b) -21 (c) -2\/5 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57444965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 4*v + 16. Suppose 21*y - 180 = y. What is the remainder when 44\/((-3 + 0)\/(y\/(-6))) is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 8*b**2 + 14*b - 9. Give q(9).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 <= 163\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = z - 5, -2*r - 3*r = 2*z - 10. Let d(j) = -45*j**3 + 3*j + 5. Let g(p) = -22*p**3 + p + 2. What is z*g(i) - 2*d(i)?\nAnswer: -20*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*(1 + sqrt(99))*6)**2.\nAnswer: 1836*sqrt(11) + 32365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33758 + 33789. Solve 67 = -a*g + 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95815806 divided by -2?\nAnswer: -47907903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5 - 143*m**4 - 142*m**3.\nAnswer: -m**3*(m + 1)*(m + 142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111825 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: Evaluate 13 + 0 + (-368 - -341).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 2:07 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -u - 7. Which is the closest to u? (a) 0.3 (b) -5 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) -0.4 (c) -2\/23 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 0 + 0 + 5*i. Let c(k) = 4 + 1 - 5 + 2*k**2. Determine x(c(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 11:22 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 - 2*p + 1. Let u be l(2). Suppose 4 - 14 = u*q. Let i = -13 - -16. Which is the closest to -0.1? (a) i (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3970.089ns to hours.\nAnswer: 0.0000000011028025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*q**3 - 10*q + 29 + 10*q + 0*q + 88*q**2.\nAnswer: -305*q**3 + 88*q**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.54781 weeks to nanoseconds.\nAnswer: 16056115488000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -187 divided by -120\nAnswer: 187\/120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -31*b + 2. Let p(w) = -32*w + 3. Give 2*p(l) - 3*y(l).\nAnswer: 29*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 16.62 + -91.2\nAnswer: -74.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 20*h**2 + 28*h + 12.\nAnswer: 4*(h + 1)**2*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/y**3*y)\/y)\/y**(1\/7) assuming y is positive.\nAnswer: y**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/683010 and 73\/2?\nAnswer: 683010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252547827.\nAnswer: 3, 7, 12026087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8679736024 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 8*h**2 - 10*h + 1. Let n be x(4). Find the second derivative of 2*m**4 - m + n*m**4 + 2 - 2 wrt m.\nAnswer: 324*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4428690?\nAnswer: 2, 3, 5, 7, 21089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b = r + 5, -5*r + 20 = 5*b. Is r greater than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -2972.\nAnswer: 15\/2972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648485642.\nAnswer: 2, 7, 383, 120941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - 5*sqrt(153)*3 - 6*4*sqrt(153))\/((sqrt(108) - (sqrt(108) - (sqrt(108) + sqrt(108)*-1))*-6)\/(2*-1*sqrt(12))).\nAnswer: 76*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8818081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -38. Calculate the lowest common multiple of 11 and g.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiviiziviiviv. Give prob of picking 1 v and 1 z.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28781792527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1112, -4521, -10206, -18161, -28380, -40857?\nAnswer: -55586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/3 (b) -1001 (c) -2\/3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7755 and 133735140.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14650 and 86435?\nAnswer: 864350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 73211134987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-4 - -21) + -7 - 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13958407 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: Express -5*b**3 - 950 + 0*b**3 - 3*b + b**4 + 951 + b**3 + 2*b**2 in the form s*b**3 + p*b**4 + c*b**2 + a*b + k and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 420?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1623 - -1?\nAnswer: -1622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58422 is divided by 14602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14589340 divided by 6.\nAnswer: -7294670\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 11:19 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6067 - -115168\/19. Let z be (-44)\/(-77) - (11454\/(-1197) + -3). Let j = g - z. Find the common denominator of j and 86\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.96998875+0.0502933\nAnswer: 1.02028205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -24545?\nAnswer: -24545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7746357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -30*b**3 + 2*b**2 - 3*b - 5. Let z(g) = 15*g**3 - 2*g**2 + g + 3. Let f(o) = 3*x(o) + 5*z(o). What is the third derivative of f(r) wrt r?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3 - 25*n - 26*n + 75*n - 27*n. Calculate p(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 13828.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3 - 3*g + 2*g + 0. Let j be c(-3). Suppose -5*d + 3*d = j, -d = 2*t + 680. What is t rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 311453*j.\nAnswer: -311453*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v + 4*v + 3*v + 0*v. Let u(z) be the second derivative of 19*z**4\/2 + 6*z - 16. Calculate q(u(h)).\nAnswer: 228*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-five halves of a tonne?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31832*f*v**2 - 3*f*v + v**2 + 865086*v wrt v.\nAnswer: 63664*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62637903.\nAnswer: 3, 6959767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/18264 and 107\/41094.\nAnswer: 164376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 10194?\nAnswer: 20388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (11 + -37 - 31)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 8*h**2 + 124*h - 1234. Calculate the remainder when d(11) is divided by 359.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.321 - -142.961. Let w = c - 141. Let k = w + -0.24. What is k rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 0*i + i**2 + 1 + 0*i**2. Let o(v) = 2*v**2 + 12*v + 23. Let b be o(-3). What are the prime factors of l(b)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-6*(sqrt(931) + 1) - sqrt(931))*-2 - ((0 + sqrt(931))**2 + -5 + -3))*-6.\nAnswer: -32796 + 3528*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 4 = 3*i - 2*h, -4*i + 3*h = 6. Suppose i = -14*s + 1 - 1. Solve 4*w - 20 = -4*b, s*w = -5*w + 2*b - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*y + 815 = 0, 4*h + 3*y - 575 = 2*h. Let -295*b**3 - 28*b**2 + h*b**3 + 5*b**5 + 5*b**4 + 23*b**2 + 10*b = 0. Calculate b.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4337 divide 125006836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -12*j. Suppose -5*g = -2*m + 4*m + 24, m - 3*g - 21 = 0. Let v(h) be the second derivative of 0*h**2 + 0 - 5*h - 1\/2*h**m. Determine b(v(o)).\nAnswer: 36*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25023 and 1957?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 85312\/(-13330)*5\/(8\/(8\/(-2)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5821 - 5*w + 7*w + 5812 - 23268 + 5820 + 5815.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 92803*p**5 + 2*p**2 + 90287.\nAnswer: 5568180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 1465362.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -10\/2997?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from {e: 2, x: 1, m: 5, j: 8, n: 1, y: 3}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63 + 58. Let q(h) = 24*h - 7. Let p(r) = 16*r - 5. Calculate z*q(c) + 7*p(c).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*o + 44*o = -107*o - 4134 for o.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-693)\/14*(0 - -2). Let y = z + 109. Let t(g) be the second derivative of -g**5\/20 + 5*g**4\/6 + g**3\/6 - 7*g**2\/2 + g. Give t(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58 - -62. Solve -5*i + w*n + 12 = 0, 0 = 4*i - 3*n - 4 - 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -121*s**2 + 484*s + 11. Calculate the least common multiple of 612 and k(3).\nAnswer: 6732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afvavaavfagav. Give prob of sequence fg.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-32 + 4)*(-1)\/(14\/(-12)). Let m(o) be the third derivative of -o**6\/120 + o**5\/15 + o**4\/3 + o**3\/6 - 3*o**2. Let s be m(6). Are x and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/695 - -1411\/14595. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**3 + 4*i**3 + 5*i + 10*i**2 - 6*i as j*i + l*i**3 + s*i**2 + k and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + d270a?\nAnswer: d2709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*u**3 - 82*u**3 + 26*u**3.\nAnswer: -207*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5093, -10181, -15271, -20363, -25457, -30553?\nAnswer: -35651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5 - 4 - 5*g**2 - g - 2. Let j be q(2). Let o = j + 32. Calculate the lowest common multiple of 1 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 315622.\nAnswer: 315622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42092*y**2 - 14*y - 2*y - 139356*y**2 + 16*y.\nAnswer: -97264*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5845*m**3*y**2 - m**3 - 25*m**2*y - m*y - 2*y wrt y?\nAnswer: -11690*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4411 and 143959?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4*2*sqrt(242) + -1 + 0 - (1 + sqrt(242) + 4 + sqrt(242) + sqrt(242) - (-2 + (sqrt(242) - (sqrt(242) + -1))))))**2.\nAnswer: 15246*sqrt(2) + 263979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.004898ml in litres?\nAnswer: 0.007004898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t - 9*t + 4*t - t.\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3.89 * 0.3\nAnswer: -1.167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-42)\/(-96)*-4 + (-46)\/(-8). Solve t*g - 1 = 17 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o + 11*o + 2*o**3 + 2 - 11*o + 0*o**2 - 2*o**2 to the form b*o**3 + y*o + c + i*o**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 169 - 151. Let g be v\/5 - 44\/(-110). Solve -4*n - 15 = n + 2*u, 0 = -n - g*u - 21 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2620 is divided by 734?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 46\/4 - 10\/20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 - 99. Let b = -5.4 + 4.16. Let o = b + 0.24. Put 5, i, o in descending order.\nAnswer: 5, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -44564, -44839, -45114, -45389?\n\"Answer: -275*d - 44289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 71*h - 1. Let m be f(-3). Let j = m - -122. Let z = 153 + j. Is z a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -11. Let p = -2.4 + d. Which is the third smallest value? (a) p (b) 3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-135))\/(2\/5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 161 and 3648.\nAnswer: 3809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6889*q**2\/5 - 32415318*q + 190657722645.\nAnswer: (83*q - 976365)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 - (1 + (4 - 45))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 42569498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 14478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1188 + 1188 + 72*j)*(-5 + j + 2*j - j).\nAnswer: 144*j**2 - 360*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*c = -211*c - r - 96714, -3*r + 96718 = 5*c. What are the prime factors of c?\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -373300 at least as big as -373302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 24 - 22 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -2*q**7\/21 - 47*q**5\/10 + 127*q**4\/4 - 8*q - 6. What is the third derivative of i(w) wrt w?\nAnswer: -240*w**2 - 564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2342\/13 and -179 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - -402?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93137, 93116, 93095, 93074?\nAnswer: 93053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0\/d*d)\/d**(-17))\/(d**(-1\/10)*(d**(3\/2)*d)\/d) assuming d is positive.\nAnswer: d**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rccccccccccccccccc. Give prob of picking 2 c and 1 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mimmimmmimmmmmimiii. Give prob of picking 1 i and 1 m.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(5*(-26)\/(-455)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -1, -4, -3220, 1, -5 in decreasing order.\nAnswer: 1, -2\/3, -1, -4, -5, -3220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 15743837.7715486+-0.1\nAnswer: 15743837.6715486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1724? (a) -4 (b) 3\/2 (c) -2.3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 10. Let w = i + 5. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8834, 16807, 30098, 48707, 72634, 101879?\nAnswer: 136442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 42 (c) -0.69 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*t, -3*d + t + 14 = -t. Let i be ((-2)\/1)\/1*-3. Solve d*g - i = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7429*(-13)\/(-2717) - (-78)\/2.\nAnswer: 38\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31507.44kg to micrograms.\nAnswer: 31507440000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**3\/3 - 11*g**2 - 7*g - 7. Is p(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.14 - 13.14. What is the second smallest value in -4, -0.1, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 56*u**2 + 57*u - 3. Determine f(57).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 22693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0519423l in millilitres?\nAnswer: 51.9423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 381*-0.03.\nAnswer: -11.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107907, -107855, -107771, -107655, -107507, -107327, -107115?\nAnswer: -106871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 5:36 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**4 - 635*o**3 - 4855*o**2 - 11365*o - 7140 = 0.\nAnswer: -119, -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/135107761 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-87)\/(-29) + 20 - (2 - (-5)\/1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + f**2. Let p(v) = 2*v - 4 + 0 + 3. Let a be p(1). Let n(j) be the third derivative of j**6\/40 - j**5\/15 + 104*j**2. What is a*n(g) + 4*q(g)?\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.37 - -0.47. Let d = -2 + v. Let w = d - 0.1. What is the third smallest value in 0, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*o + 3*o**2 - 3 + 318*o + 429*o.\nAnswer: 3*o**2 + 656*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 8*q + 4. Suppose -c + 0*w = 5*w + 33, 20 = -5*c + 4*w. Let s be i(c). Is -4 - (-6 + s - 1103) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2285, -9877, -22763, -40931, -64369, -93065, -127007?\n\"Answer: 2*q**3 - 2659*q**2 + 371*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 not equal to -1931958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138 and 24914658.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*a - 409*a = i + 4, -11 = a - 4*i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174649.\nAnswer: 174649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-15)\/(-12))\/((-2)\/8))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1458 - 1157. Calculate the highest common divisor of 26488 and r.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -990*w + 7. Let k(o) = 16*o**2. Determine k(x(u)).\nAnswer: 15681600*u**2 - 221760*u + 784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 314263892 - 2.8566?\nAnswer: 314263889.1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 14. Suppose v*c + 4*c - 2*k = 60, 3*k = 2*c - 34. Solve -c = 4*x - 2*m, x + 2*m - 11 = -2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -2, -8 in ascending order.\nAnswer: -8, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, -2.\nAnswer: -3, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53.42064 - 55.42. Let s = -1 - 1. Let p = s - q. Round p to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 42 + 26 - 44 + 29 + 10*h - 4*h + 257*h**2. Is o(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1015 + 3224344?\nAnswer: 3225403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3866562 is divided by 795.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-9)*j\/j**8*j)**(-35)*(j*j**(-2\/9))**3*(j*j**2)\/j*j**(-2\/21)*j*j*j assuming j is positive.\nAnswer: j**(11177\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbb when three letters picked without replacement from dbbkkkkkkbbkkbkbkk?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y = 14*y + 1952. Is y a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19509 or -19508?\nAnswer: -19508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6960066085*n**2 - 7*n - 7*n - n**3 + 6960066085*n**2.\nAnswer: -n**3 - 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -4 - (35 + -54 + 23)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4009 + 194*i - 4009)*(2 + 2 - 3)*(0*i + 0*i - 3*i)*(i + 3*i - 3*i) in the form d + q*i**3 + w*i**2 + v*i and give q.\nAnswer: -582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 136 = -3*z. Let c = 6 - z. Let i be 8\/c + (-2)\/(-7). Solve i = -0*y - 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(12*u**4 - 3*u - u + 2*u) + u**3 - u**3 - u**4 + (-2*u**3 - 2*u + 2*u)*(0*u + 6*u - 3*u).\nAnswer: 17*u**4 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3680093 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 78.59048 millilitres?\nAnswer: 0.07859048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1356 is divided by 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 + -24481?\nAnswer: -24502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -2381.88862.\nAnswer: 2381.78862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -745551 <= -745548?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**3\/18 - r**2\/3 - 2*r\/3 - 3. Factor q(n).\nAnswer: -(n + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 7*u**2 + 7*u + 1. Let k be c(7). Calculate the greatest common factor of 125 and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 357\/(-102)*-2*2\/(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, 0.02, -0.4, -0.318, -4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 3255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 131*m**3 - m**2 + 2*m - 1. Suppose 2*x - 2 = 2. Let a be u(x). Is a\/27 - 2\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + sqrt(891))**2.\nAnswer: 108*sqrt(11) + 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j. Let w(x) = 36 - 41 + 221*x + 5. Determine w(c(f)).\nAnswer: -221*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 5*k**8\/336 + k**7\/21 - 13*k**6\/12 - 6*k**5 + 135*k**4\/8 + 225*k**3 + k**2 + 217*k. Factor g(h).\nAnswer: 5*(h - 5)*(h - 2)*(h + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7 + 3 - 2 + 11*y**4 wrt y?\nAnswer: 44*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = r + 25, 7*a - 394 + 496 = -r - 2*a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2454283ml?\nAnswer: 0.0002454283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*p - 49*p - 60*p - 102*p + 1.\nAnswer: 86*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 96 (b) -0.4 (c) 5 (d) -1 (e) 17\/1130\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*(5 + (sqrt(396)*-1 + -5)**2)*6*-3.\nAnswer: 5400*sqrt(11) + 38340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*(sqrt(1053) + 3) - sqrt(117)\/(sqrt(9) + sqrt(36)\/(sqrt(36)\/sqrt(9)))))**2.\nAnswer: 840*sqrt(13) + 16069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -106*m + 110. Determine f(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z. Let o(j) = -j**2 + 9*j - 11. Let u be o(5). What is the smallest common multiple of f(u) and 28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*q + 679 = 49*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvjjy. Give prob of sequence jyjv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 0. Suppose 0 = 5*d - 9*c + 6*c - 22, 3*d - 2*c = 13. Sort d, -5, y.\nAnswer: -5, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83 - 83.0294. What is h rounded to three dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 20 = 0, -5*w + 34*y - 33*y = 245. List the prime factors of 2*4 - 27200\/w.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -20*g + 1. Let i(h) = -227*h**2 - h. Give i(r(b)).\nAnswer: -90800*b**2 + 9100*b - 228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 955345470.\nAnswer: 2, 3, 5, 71, 448519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/5 + -7 - (1 - 27). Let k = z - 23. Suppose 7 = 3*u + a, 5*u + 0*a - 2*a - 8 = k. Solve 6*y = u*y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3024 - -3023.95. Which is the third biggest value? (a) -3 (b) 2\/15 (c) -2\/7 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w**2 - 7*w. Let y(a) = 9*a**2 + 13*a. Let d(i) = 11*p(i) + 6*y(i). Let b(o) = -o**2 + 4*o - 3. Let x be b(2). Suppose 3*r - 8 = x. Calculate d(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 302, 304, 346, 446, 622, 892, 1274, 1786?\nAnswer: 2446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5978941 to two dps.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 500 divided by -25641\nAnswer: -500\/25641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283846 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1517.4 + -1517. Let o = 30.29 + 0.71. Sort 0, o, x in decreasing order.\nAnswer: o, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 times 661534.5?\nAnswer: 30430587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((48\/60)\/(18\/(-45)))\/(-127)\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 4*a - 85 + 29 + 23 + 16.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - -4) + -16 + 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -594, -620, -602, -516, -338, -44, 390, 988?\n\"Answer: 4*h**3 - 2*h**2 - 48*h - 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 + -58. Suppose -2*h + 1 = -o - 2*o, 4*h - 14 = t*o. Suppose -h*j + 597 + 373 = 0. List the prime factors of j.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 615 + -611. Let b be (-1)\/l - 860\/(-560). Solve -3\/7*m**3 - 6\/7*m + 0 + b*m**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88.61 or -7.4?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2642 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16618 - 7559 - 5*q**2 - 9059.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 w when three letters picked without replacement from {h: 3, w: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/695739 - -401132\/21809330433. Let r = 3166079\/1504656 - z. Find the common denominator of r and 43\/4.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/15893 and -45\/19.\nAnswer: 301967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -180 - -183. Suppose 2*p + 2*p = g, g = m*p + 1. Calculate the greatest common factor of 9 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -15835\nAnswer: 7\/15835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((36\/2)\/882).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 36 = 3*j + 2*f, 4*j + 5*f = 50. Solve n = 3*n + j for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87182.\nAnswer: 2, 43591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4\/3 - 202*q**3\/3 + 200*q**2\/3 = 0. Calculate q.\nAnswer: 0, 1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 5*g - 2. Let m be x(-6). Let n = -2 + m. Factor -2*j - 4*j**2 - j + j**n.\nAnswer: -3*j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127, -253, -381, -511, -643?\nAnswer: -777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1061.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 25 = 1. Suppose 0 = -l + 9 - i. Let w(x) = -3*x + 2. Calculate the lowest common multiple of l and w(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**5\/30 - 4*d**3\/3 + 28. Let l(f) be the third derivative of r(f). Let v(t) = 12*t**2. Give v(l(c)).\nAnswer: 192*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2945, -5904, -8863, -11822?\nAnswer: -14781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {z: 1, e: 12, f: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 29\/(-174) + 1\/(-2)*-1. Factor 1\/3*q**4 + r*q - 1\/3*q**2 - 1\/3*q**3 + 0.\nAnswer: q*(q - 1)**2*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 0.1 (c) 22 (d) -0.03 (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307894*t**3 + 153972*t**3 + 153920*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 19 - 33 = 0. Suppose -4*m = 3*n + 8, -2*n + 3*m - 2*m = -x. Let g be (-1)\/n - (-3195)\/12. Calculate the greatest common divisor of 38 and g.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p**2 + 9*p - 21*p**2 - 5*p**3 - 9*p.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*o + 7*o + 11*o to u + t*o and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 21528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -22, 15, 84, 191, 342, 543, 800?\nAnswer: 1119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/8)\/p**(-13))\/(((p\/p**(-13))\/p)\/p**(-4)) assuming p is positive.\nAnswer: p**(-33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 276169?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*x - 2. Suppose 0 = -7*q + 6*q + x. Solve 7*w = 3*w + q*s - 4, 0 = -2*w + 4*s + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1565303874?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-93621)\/(-76599))\/((-2)\/(-54)*1).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60424776 and 63?\nAnswer: 422973432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 + 3*o - 4. Let n(v) = -2*v**2 + 4*v - 5. Let d = -4 - 1. What is d*j(q) + 4*n(q)?\nAnswer: 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20973 - -13860. Let w = -42785\/6 - i. Find the common denominator of w and 102\/20*(-2)\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313962655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/20)\/6 + (-2)\/3.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.252*0.3.\nAnswer: -0.0756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -3 (b) 656 (c) -0.2 (d) 0.09 (e) -2\/5 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/1 + 2 + 0. Suppose -p*t + 40 = -0*t. Let g(x) = -11*x**3 - 2*x**2 - x. Let k be g(-1). Calculate the greatest common factor of k and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000021304 rounded to 7 decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (1 + 2 + -9). Let d = j + -4. Let i(y) = y. Let b(p) = -p**3 + 3*p**2 + 5*p + 5. Let m(o) = b(o) - 2*i(o). What is m(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -296, -590, -884, -1178?\n\"Answer: -294*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10705531 a multiple of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 3.83. Let u = w - -0.47. Let y = -439.5 - -439. Put y, u, 9 in descending order.\nAnswer: 9, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - 11) + (-99 + 49 - 72)?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -245631500 - -4?\nAnswer: -245631463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckfc when four letters picked without replacement from zfckc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/7 + (-90)\/21. Let x be p*((1 - -1) + 0). Let m = 12 + x. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 - -51. Let q = 9 - 5. Which is the nearest to 2? (a) v (b) -0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -703800 rounded to the nearest ten thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -v + 16, -3*v + 5*v = f - 1. Solve -f*g + 1 = -12*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 128221.5 centuries?\nAnswer: 12822.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 81, 2, -1, 881 in increasing order.\nAnswer: -1, 0, 2, 3, 81, 881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 234\/156 - (-79149)\/6. What is the highest common factor of a and 167?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470\/47*2\/(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from cyydd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 18*t - 15*t - 9*t - 10 + 3*t. Let w(p) = -6*p - 19. What is 7*c(o) - 4*w(o)?\nAnswer: 3*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 3*f - 18, -3*i - 3*f = -7*i - 4. Suppose 2*b = -2, -2*b - i*b = -5*v + 14. Solve 0*x - 2*x + v*c = 0, 4*x = -5*c - 27 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96722463*z**3 - 259*z**2 + 6423*z wrt z.\nAnswer: 580334778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 17*l - 16*l = -195 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = g + 5*n + 2, -18 = 4*g - n. Let s be 6*g\/18*102\/4. Let p = 34 + s. Solve v + p*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27434182 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 41.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 3*j**4\/8 + j**3 + 1981*j**2. Give h(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**4\/6 + 11*c**3\/3 - 4*c**2 - 19*c. Let x be p(-13). Calculate the highest common factor of x and 308.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (846\/54)\/(((-4)\/(-9))\/(56\/21))\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-10) + 34584\/60. Let k be ((-256250)\/(-6))\/(-5 + 2882\/z). Round k to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150 and 571.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 49 = k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26963835 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.8066516 and -0.3.\nAnswer: -2.1066516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*g - 31*g - 13035 - 11609 = -90*g for g.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1\/6, 5\/2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38880 and 16425.\nAnswer: 14191200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -9*p - 10. Let j(g) = 7*g + 8. Let h(f) = -5*j(f) - 4*x(f). Let n(u) = -144*u. Determine h(n(d)).\nAnswer: -144*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t. Let q = -63 + 60. Let f(h) = -5*h - 1. Give q*u(z) + 2*f(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.69 + -7.69000321. Round h to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 2*a**3\/3 - 2*a**2 - 16*a. Let k(z) = -5*z + 5. Let f = 6 - 3. Calculate f*s(b) + 2*k(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 190 and 1848985.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17813 divided by -3.\nAnswer: 17813\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1402 - 1371. What is the greatest common divisor of f and 2573?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t**(5\/3)*t))*t*t*t*t*t**(-9))\/(t**(-5\/4)*t**(-1\/3)) assuming t is positive.\nAnswer: t**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -108 + 108. Solve n = -5*f - p - 11, -7*f - 4*p - 10 = -4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5296, -10591, -15886, -21181, -26476, -31771?\nAnswer: -37066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1205)\/(-30) - (-1)\/(-6). Suppose -4*y + h = -2*n, -y + 5*n = -6 - 22. Solve 0 = -4*j + 2*j - y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - d = 15, -2*z - 2*d = 3*d - 9. Let i = 27 - 15. What is the greatest common factor of z and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*g**3*p**2 - g**3 - 118*g**2*p + 2*g**2 - p + 210 wrt p?\nAnswer: 6*g**3*p - 118*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 18*x**2 + 17*x - 18. What is the remainder when 38 is divided by v(-19)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 3*f**2 + 13 + 0*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 5*j**2 + 17*j - 8. Let t be b(7). Find the second derivative of -2*d - t*d**3 + 5 - 10 + 5 wrt d.\nAnswer: -78*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34754 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 35 = 3*z, 253*z - 255*z + 40 = -3*i. Let d(k) = -k**3 - 13*k**2 - 29*k + 11. Give d(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 477129 (base 11) in base 16?\nAnswer: b89c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(9\/2))**(-48)\/((j*j*j\/j**22)\/j*j*j\/(j*j**(-1\/15)\/j)) assuming j is positive.\nAnswer: j**(-2971\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 20 (b) -2\/9 (c) 0.14 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 9*k**2 - 9*k - 6. Let h be x(-8). Suppose -h*o + 4*j + 867 = -145, 0 = 4*o + 4*j - 2084. Suppose -o = -4*t - 0*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -130*k**2 - 525*k + 1. What is u(-1)?\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -106656 (base 7) to base 12\nAnswer: -b140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 - 8*k - 3. Let t be l(6). Let n be (-2266)\/(-44)*(15 - -1). Let u = -782 + n. What is the highest common factor of t and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 57\/126 - (0 + 1\/6). Which is the nearest to z? (a) 1\/5 (b) -0.02 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*w + w**3 - 2 - 56*w**2 + 56*w**2 to the form a*w**2 + g*w + s + d*w**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 1. Let v = -36 - -40. Let c be v\/((-32)\/(-4)) + (-1)\/(-2). Let o(u) = 10*u + 4. Let f(j) = c*o(j) + 2*i(j). Differentiate f(q) wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f - 564 + 562 + 2*f - 4*f. Suppose 0 = 5*m - 10, -19 = -4*d + m + 3. What is t(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-110)\/77)\/((-21)\/((-2646)\/12)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**4\/6 + y**3 + y**2\/2 - 2*y. Let x be o(-5). Is -3 + 3 + x + -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -7 + 1 - 2*a**2 + 4. Let f(y) be the third derivative of -y**5\/20 - 2*y**3\/3 + 4*y**2. Give -3*f(t) + 5*r(t).\nAnswer: -t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 5*m + 15, -2*k + 3*m = -3 - 3. Suppose k*j - 3270 = -12*j. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24033 (base 6) to base 4.\nAnswer: -312111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -460?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/17? (a) -5 (b) 5 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2399440680?\nAnswer: 2, 3, 5, 7, 13, 73243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.117*-169.2\nAnswer: 19.7964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*(-108)\/132 + 658\/(-70)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -444*t - 3*t**2 + 294*t**4 + 18*t**2 + 96 - 1723*t**5 + 825*t**3 + 1747*t**5 = 0.\nAnswer: -8, -4, -1, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**5\/20 - i**4\/3 + i**3\/6 - i**2 - i. Let n be -11 + -3 - (2 + -4). Let k be ((-2)\/(-6))\/((-1)\/n). Give s(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73908 divided by -36954\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73605.45 - 2766.\nAnswer: 70839.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -22*p**2 + 16171974*p + 4410540 = 0.\nAnswer: -3\/11, 735090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -898183 divided by -13\nAnswer: 69091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 5*i - 4*x, -2*x = -4*i - 126 + 112 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2464 and 0.5?\nAnswer: 0.1232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-898150)\/(-1012))\/355)\/((2\/2)\/18)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 291 + 267. Calculate the highest common factor of 31 and a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -29*d**3\/6 + 5*d**2\/2 + 5*d. Let j be 15\/20 - (-38)\/(-8). Is g(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x - 6. Let n(t) = t - 1. Calculate -f(g) + 3*n(g).\nAnswer: -3*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, i: 1, j: 4, r: 5, u: 2}. What is prob of picking 1 j, 1 e, and 1 u?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10074252.\nAnswer: 2, 3, 29, 28949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -1\/4*b**4 + 9 - 2*b**3 + 9\/2*b**2 - 2*b. What is z(-7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017103918 rounded to 6 decimal places?\nAnswer: 0.000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2. Let k(j) = j**3 + 5*j**2 + j. Let u be k(-4). Suppose -3*r + 7*r - u = 0. Let v(q) = r*q - 3*q - 3*q. Give g(v(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(133*s**5 - 15*s**5 + 37*s**5).\nAnswer: -310*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -871\/522897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 67474955 a multiple of 787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1110 (b) 23 (c) -0.97 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -9. Suppose 0 = -v - 5*h - 30, 0*v + h + 25 = -4*v. Let y be (5 - 0)\/(v + 6). Which is the nearest to 0? (a) y (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 0 - 1\/336*k**8 + 0*k**3 + 0*k**5 + 0*k**4 + 0*k + 3*k**2 - 1\/30*k**6 + 2\/105*k**7. Factor w(y).\nAnswer: -y**3*(y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1706502665.\nAnswer: 5, 7, 6965317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16123?\nAnswer: 23, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*v**2*x**3 - 16*v**2*x - 20*v*x - 8*x**4 wrt x.\nAnswer: -72*v**2*x - 96*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + -12. Let u = -25 - d. Which is the biggest value? (a) u (b) 2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5307 - -11182. Suppose -17*y = -19*y + 6. Suppose -3*m + 5*m - a = y*d, 0 = -4*d + 4. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -102 - -85. Let k = 182 - 215. Let i = p - k. Calculate the remainder when 125 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/62181 and 79\/79086.\nAnswer: 33453378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1067 and 3007.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 8:51 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - b = 42, 12*b + 53 = 3*f + 13*b. Suppose 16*h - f = 13. Sort -2, 0, h, -6 in decreasing order.\nAnswer: h, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 3*x - 544. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.0184267 to one dp.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 8:26 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/63 and 13\/259.\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 265, 5, -6, 131, -3, -1.\nAnswer: -6, -3, -2, -1, 5, 131, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 19. Let s be c(15). Suppose -t = -6*t + 20. Solve t*r = s - 24 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0, -4, -26.\nAnswer: -26, -4, 0, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 140718 = -2*f - 38210, 3*f = -4*n + 136676. List the prime factors of n.\nAnswer: 2, 8543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -126640010*b**3 + 20301*b - 313?\nAnswer: -759840060*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.045 - 0.965. What is w rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 + -109. Suppose 120 = 2*d + 3*v, -5*d + 4*v = -7*d + 124. Let t = d - j. Calculate the greatest common factor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19910.1 - -19910. Which is the closest to 43? (a) f (b) 0.2 (c) 0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 181120 to the nearest one thousand.\nAnswer: 181000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 0*q + 30 = -3727*p + 3732*p, -2*p - 9*q = 458 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q**3 - 8*q**2 - 4. Let d(m) = -5*m**3 - 9*m**2 - 3. Let w(g) = -4*d(g) + 3*o(g). Let s(i) = -i**3 - 5*i**2. What is 12*s(n) + 5*w(n)?\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (5 - 10) - -4. Solve -d = -j - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010 (base 2) to base 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -1) + (4 - 2). Suppose -2*c - 1 = -3*c, n*t = 4*c + 32. Let d = -111 + 159. What is the highest common divisor of d and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 - -28. Let t = c + 30. Is 20 a factor of (3*20)\/(5\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 0 + 0*p**2 + 29*p + 31\/30*p**6 + 5\/6*p**4 + 0*p**3 + 0*p**5. Find the third derivative of s(t) wrt t.\nAnswer: 744*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 0 + 144\/5*g + 42\/5*g**5 - 408\/5*g**2 - 348\/5*g**3 + 6*g**4 = 0.\nAnswer: -2, 0, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -7*z**6\/120 - 7*z**5\/60 - z**4\/6 - 31*z**2. What is the hundreds digit of d(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 12 = -4*b, -24 = -3*y - 3*b - b. Suppose 0 = 3*i - 21 + y. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3277 is divided by 407?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 13111420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 10:42 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -321. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -134, -128, -110, -74, -14?\n\"Answer: j**3 - j - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43.7 - 37. Let t = x - -1.3. Let p = t - 7.7. Which is the third smallest value? (a) -4 (b) 0.1 (c) p (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*s + 5*s - 4*s)*(-1 + 1 - 1) - 2*s + 6*s - 2*s - 1 + 2 - 16*s + 3*s + (-2 + 3 - 2)*(1 - 1 + 2*s))*(s - 2*s + 1 - 3).\nAnswer: 14*s**2 + 27*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 12:11 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 37, -5, 621, 4 in descending order.\nAnswer: 621, 37, 4, -5, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**8\/560 + w**4\/24 + w**3 - 3. Let z(t) be the third derivative of f(t). Differentiate z(h) wrt h.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2 + 2*w + 21. Let a be b(0). Suppose a - 5 = 2*y. Suppose 13 = y*o - 179. What is the remainder when 92 is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**2 - 61*f**3 - 1 + 0 + 64*f**3 as t*f**2 + z + p*f + w*f**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13411.09 - -13225. What is t rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/9 (b) 4 (c) -1\/9 (d) -3 (e) -22 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 + 8544*x - 871956.\nAnswer: -3*(x - 2742)*(x - 106)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.542748164 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 5*y**5 - 345*y**4 - 399285*y**3 + 58285845*y**2 - 798169140*y + 1880742240 = 0.\nAnswer: -312, 3, 12, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**5\/60 - i**4\/12 - i**3\/6 - i**2. Give x(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 890698 at least 161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8336620 is divided by 241.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -31, 2, -6461 in ascending order.\nAnswer: -6461, -31, -9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(104)\/(2*sqrt(8)))*-5.\nAnswer: -5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 71 = -6. Let w(g) = -11*g - 15. Let v(u) = -5*u - 7. Let d = 5 - 8. Let f be 48\/(-9) + 2\/d. Determine f*w(n) + t*v(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -125 (b) -0.1 (c) 0.3 (d) 2 (e) 1 (f) -59\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31693 + 31699. Let h = 11.25 + -0.25. What is the second biggest value in h, g, 3\/7, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + -1 - (4 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - 36.5. What is the second smallest value in -0.2, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(3) + 4 + (sqrt(2) + -2)*6.\nAnswer: -8 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -48, -113, -196, -297, -416, -553, -708?\n\"Answer: -9*z**2 - 38*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1525, 3063, 4609, 6163, 7725, 9295, 10873?\n\"Answer: 4*a**2 + 1526*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**2 + 17*l**4 + 9*l**4 - 4*l**2 - 19*l**4 - 6*l**3 to the form u*l + b*l**2 + d*l**4 + c + n*l**3 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q = -44*q + 64. Let o(b) = -b - 1. Let d(n) = n. Let r(z) = 6*d(z) + 2*o(z). Let a be r(q). Calculate the greatest common divisor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 156*m**3 - 4*m - 5?\nAnswer: 936*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 10*n**2 + 4*n - 12. Let v be b(10). Is (-1143)\/(-7) + (-8)\/v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/3079512 and 49\/217512.\nAnswer: 58510728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 2*l + 4*l. Let z(n) be the first derivative of -1\/6*n**2 - 5 + l*n - 1\/12*n**4 - 2\/9*n**3. Suppose z(c) = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.6 - 1.1. Which is the nearest to -2\/3? (a) p (b) 0.1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 10*p + 9. Let r(d) = d**2 + 9*d + 9. Calculate -5*q(u) + 6*r(u).\nAnswer: u**2 + 4*u + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d**2\/d)*d\/(d*d**6)*(d*(d**(-2\/5)*d)\/d)**(3\/22))\/((d**1)**(-33)\/((d*d**(-3))\/((d**(5\/3)\/d)\/d))) assuming d is positive.\nAnswer: d**(7727\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1325?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 5. Let o be 4 + 1\/(2 - 3). Solve 2*v - o = -i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -2880?\nAnswer: 2880.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + m = -33299, 0 = 4*q + m - 33229 - 11158. List the prime factors of q.\nAnswer: 2, 31, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3*d + 108*a*d**3 - 94*d**3 + 2 wrt a.\nAnswer: 3*a**2*d + 108*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 10. Let p be d(-7). Let n be 3 + (-124)\/154*p. Let u = -8\/11 + n. Are u and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 7*i - 4, -5*m + 22 = 2*i. Let f(x) = x + 9. Let p be -5*(-1)\/(10\/(-8)). Let w be f(p). Solve -w*y + m*y = -3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 8*p - 81. Let q be d(-6). Suppose -11*s + 48 = -10*s - 2*k, 0 = s + q*k - 48. What is the smallest common multiple of 33 and s?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-one halves of a kilometer?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 11, -5.87, -7, 5 in ascending order.\nAnswer: -7, -5.87, -1\/4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 260.76 * 379.7\nAnswer: 99010.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000603262 to 6 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**3 + 184 + 171 - 538 - n**2 + n**4 + 178 in the form u*n + o*n**4 + z*n**2 + k*n**3 + s and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 10:53 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -6. Suppose -4*t = c*n - 7*t - 49, -n + 27 = -4*t. What is the remainder when n is divided by (-1 - 0)*-1 - -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - -2*1\/(-2). Let f(k) = 3*k**2 + 98*k + 64. Let g be f(-32). Solve -u - 4 = -g*x + 4*x, 3*u + 3 = -h*x for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 836762.8551 rounded to the nearest 1000?\nAnswer: 837000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1100553 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 1 - (2 + (-6 - -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/4, -2\/9, -0.5, 21\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w. Let z be 2\/3 - (-2)\/6. Suppose -y + 4 = z. Let f(a) = -y*a + a + a + 0*a. What is f(v(h))?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 880*j + 107*j = -79*j - 692*j - 15822 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-2 - (-16 + 11)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499 + 187*s - 445 - 54.\nAnswer: 187*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0, -8, -0.1, 5, -23\/66 in increasing order.\nAnswer: -8, -23\/66, -0.3, -0.1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvvvppvpvfefffvvpp. What is prob of picking 1 v, 1 p, and 1 f?\nAnswer: 175\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (j**3 + 6*j**3 + j**3)*(-1 + 0 - 1) - 8*j**3 - 5*j**3 - j**3 in the form t + p*j + f*j**2 + k*j**3 and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 846 and 1369386.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.517234 times 5?\nAnswer: 2.58617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4 + sqrt(175))**2*6 - (sqrt(2401)\/sqrt(7) + 5)).\nAnswer: -5705 + 1235*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 - -30. Let z = q + 13.5. Put -2\/7, z, 0.4 in ascending order.\nAnswer: z, -2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 203507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96*i*j**3 - i*j*v - 104*i*j + 2*i*v + 6*i + j**3*v + j**2*v wrt j.\nAnswer: -576*i*j + 6*j*v + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 318732839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 432380272 a multiple of 1264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 616 - 501. What is the highest common divisor of 184 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*-527.\nAnswer: -421.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -4*d - 48, 4*v - 110 = 83*d - 82*d for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 223302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 458821?\nAnswer: -10\/458821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/(-14)*((-610)\/(-50) + (-12 - -1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*n - 141 = 171 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 4*z + 19 + 8*z + 2*z.\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwd when three letters picked without replacement from wplwpwkkkwd?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1098086 is divided by 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6 + 102*b + 20 - 1441*b. Is q(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -1179*u - 1. Let o(x) = 4*x**2. Determine j(o(f)).\nAnswer: -4716*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -180*m**4 - 6*m**2 - 2537*m + 2.\nAnswer: -2160*m**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 155778.\nAnswer: -1\/25963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39513, -39514, -39515, -39516, -39517?\nAnswer: -39518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpp when three letters picked without replacement from {p: 3, l: 7, h: 9}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -0.203363, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**5\/7 - 4*x**4 - 64*x**3\/7 - 48*x**2\/7 = 0 for x.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1298722822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 9 + 14 - 3*r**3 as q + y*r**2 + z*r + f*r**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyypyyyypyyyyp. Give prob of sequence ppy.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -12 + 17 + (1 - 3). Suppose -2*f - 3*f = -4*r + 172, 4*f - a*r = -137. What is the remainder when f\/16*334\/(-4) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 9 = -m. Suppose 2*v - 8 = -4*p, 5*p - m = -4*v + 1. Suppose 0*g - 10 = 2*g - 5*o, v = 3*g + 4*o - 8. Solve -1 = -g*r + r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4*v**5\/7 - 4*v**4\/7 + 12*v**3\/7 + 4*v**2\/7 - 8*v\/7 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 24 = h. Let j(l) = 4*l**3 - 2*l + 1. Let b be j(h). Solve q + 3 = 2*u - 6*u, -u + 2 = b*q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*p**2 + 5*p**2 + 2*p**2)*(-3 - 2*p**2 + 3 + (3*p - p + 0*p)*(4 - p - 4)) as f + d*p**2 + w*p**3 + m*p + v*p**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1151 + -302302?\nAnswer: -301131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/872 and -47\/33232.\nAnswer: 3622288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1. Suppose i = -g + 7 - 2. Suppose 2*t - 31 = -t - f, -g*t + f + 65 = 0. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84274476 and 17688.\nAnswer: 168548952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h = 35*h - 2184. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-2) - -1 - (-345)\/(-138). Let j = 5 - 2. What is the biggest value in j, r, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -54396415.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r**3 - 3*r**3 - 5*r**3)*((3 - 2 - 3)*(-2 + 1 + 2) - 32 - 8 - 10) as w*r + j*r**3 + y + n*r**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/15)\/i)\/i**(2\/19))**(2\/63) assuming i is positive.\nAnswer: i**(-706\/17955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 14*x + 15. Let g = 53 - 68. Let h be p(g). Which is bigger: h or 2\/1171?\nAnswer: 2\/1171","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 4\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6)\/(42\/21).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 2*x**3\/3 + x**2 - 2*x + 2. Let t be b(-2). Let q(o) = -3*o**t + 2*o + 0*o + o**2 - o**3 - 1. What is q(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 20. Suppose o*i - 148 = 2. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)*t*t\/(t*t**(-1\/2)*t)*t**(-10)\/t*(t**(4\/5)\/t)\/t)**(-38) assuming t is positive.\nAnswer: t**(2413\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 144760 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 0. Let q(c) be the second derivative of 0 - 1\/2*c**2 + 1\/6*c**3 - 2*c. Calculate q(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12684 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3.267135 centuries?\nAnswer: 326.7135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162809 is divided by 636.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(33)\/(sqrt(96)\/sqrt(2)).\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -593*i**4 + 674*i**4 + 54 - 23 wrt i?\nAnswer: 324*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -0.056737?\nAnswer: 0.0226948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 5:41 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-2) + (-1 - -1). Is 14 a factor of 0 + (-2 - 41\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 - (-1 - -2) - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6\/17)*a**(-2))\/(a**(-5\/2))**35 assuming a is positive.\nAnswer: a**(2895\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(204) + sqrt(204))*2)\/((sqrt(48)\/sqrt(100) - sqrt(12)) + sqrt(12) + sqrt(12)).\nAnswer: -5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7801.85 - 7802. What is the closest to d in 1\/6, 10, 1, -4\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*r**4 + 6573*r**3 + 9985?\nAnswer: 8*r**3 + 19719*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**3\/5 + 234*o**2 - 90864*o\/5 - 4204032\/5 = 0.\nAnswer: -32, 184, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 732497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 - (4600\/(-432))\/(12\/(-36)*-8)\nAnswer: -1\/144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2064)\/(-18))\/(14\/210)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-148652)\/42472 - 70\/(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7251, 540 in descending order.\nAnswer: 540, 4, -7251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 9:47 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 25. Which is smaller: -0.7 or w?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25487429*j*x*z**2 - 2*j*x*z + 3*j*x - 77*j*z + j + 3*x*z + 4*x + z**2 - 141*z wrt z.\nAnswer: -50974858*j*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 + 50. Suppose h - 8 = 2*q, -a*h + 2 = 12. Is 1\/(q - (-14658)\/2931) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbb when three letters picked without replacement from bbbpbbbbpbbb.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 + (231\/14 - 9). Let q = -73\/3 + 25. Let v = -8.9 + 9. What is the third smallest value in v, m, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -7. Let y be q\/(-9) + 11\/3. Suppose 0 = -0*j - 4*j + 2*m + 16, 4*m + 24 = 4*j. Solve y*u - j = -22 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 968 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - 161. Let c = x - -168. Let m(n) = -n**3 - 2*n**3 - 4*n**3 + n**3. What is m(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**2 + 9*p + 7*p + 2*p**2 - 32 + p**2 = 0. What is p?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 143*k**2 + 131. Let t(h) = 143*h**2 + 132. Let i(r) = -3*j(r) + 4*t(r). What is the derivative of i(b) wrt b?\nAnswer: 286*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.95, 0.4, 4, -8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3604 divided by -15\nAnswer: 3604\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95969?\nAnswer: 19, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4248.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 34006791 to the power of 1\/3, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 3341720 (c) -0.78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*n = 23, -n + 0*n = 5. Let w be k\/(-6) + 55\/15. Find the third derivative of -29 + 4*v**w - 3*v**2 + 29 wrt v.\nAnswer: 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 667808 = 320*k. Calculate the smallest common multiple of 28 and k.\nAnswer: 14252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (124\/36)\/(208\/(-1872))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34963 rounded to the nearest one thousand?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**8*r**(-7\/3))\/(r\/r**(2\/5))**28)**(-6) assuming r is positive.\nAnswer: r**(334\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**3 - 9*o - 30. Let p(v) = 16*v**3 - 36*v - 120. Give -25*m(f) + 6*p(f).\nAnswer: -4*f**3 + 9*f + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21759014 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 511 (base 15) in base 5?\nAnswer: 14031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2776*u**3 + 19 + 2776*u**3 + 2*u + 9*u**4 to v + f*u**2 + t*u + g*u**3 + y*u**4 and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + l**2 + 4*l + 3. Let i be n(-2). Solve i = 4*f + 15 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42588 and 111972.\nAnswer: 56769804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3413 (base 9) in base 14?\nAnswer: cc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvv when three letters picked without replacement from {c: 2, v: 2, m: 8, l: 3, f: 5}?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145392 is divided by 233?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2 = 3*p, u - p - 8 = 0. Let v(i) = i**3 - 9*i**2 - 6*i + 9. Let s be v(u). Let b = s + -34. Solve b = 3*c + 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 318523848 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 5. What is v(13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 150 + 145. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 10*d + 9. Let w be q(9). Solve 5*k + 5 = 4*v - 3, w = -3*v + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 70.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 25*z**5\/2 - 80*z**4 - 415*z**3\/2 + 395*z**2 - 120*z = 0.\nAnswer: -3, 0, 2\/5, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 4, r: 6}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 145 and 10109835?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 168943903?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -47*j + 44. Let h be r(-6). Suppose -6*k = -406 - h. What are the prime factors of k?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/5 (b) -5 (c) 0.3 (d) -3 (e) 100 (f) 165 (g) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.65 - 0.45. What is z rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5aa + 124?\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 3:24 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 694101195, 1388202391, 2082303587?\nAnswer: 2776404783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (5 + -1*2*sqrt(567)*6 - (3 + sqrt(567) + (sqrt(567) - (-1 + sqrt(567))) - (sqrt(567)*-2 + -2 + sqrt(567) + sqrt(567)))*-1))**2.\nAnswer: -2772*sqrt(7) + 68803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -45*r - 18. Let y(l) = 23*l + 10. Give -6*j(u) - 11*y(u).\nAnswer: 17*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**3 - 34*t**2 + 8*t + 136 = 0.\nAnswer: -17, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -27 (b) -0.1 (c) 2 (d) 0.1 (e) -3\/17 (f) -385\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2679230, 2679223, 2679216?\n\"Answer: -7*h + 2679237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -13*a - 3. Let x(z) = 25*z + 6. Suppose -9*k = -11*k + 22. Let t(i) = k*g(i) + 6*x(i). Determine t(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10200354893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -v**6\/240 - 23*v**5\/160 - 143*v**4\/96 - 121*v**3\/48 + 160*v. Factor w(c).\nAnswer: -c*(c + 1)*(c + 11)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -208, -420, -632, -844, -1056, -1268?\n\"Answer: -212*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -5 + (2 - 19) + 46.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 78272.381 to the nearest ten.\nAnswer: 78270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(10)*-1 + sqrt(10))\/sqrt(2) + sqrt(20)\/sqrt(4)*5 + -2 + (-1*sqrt(405) - (-1*sqrt(500))**2) + sqrt(60)\/(sqrt(300)*-1).\nAnswer: -502 - 21*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 = 2*w. Let d be 1 + 14*w\/6. Suppose 0 = -3*s + 1 + d. Solve 5*o + 4*z - 4 = 0, 4*o = -s*z - z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20595 and 570.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52\/9*m**2 + 50*m - 44 - 2\/9*m**3.\nAnswer: -2*(m - 6)*(m - 1)*(m + 33)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 33. Let x(a) = 1. Suppose 18*y + 146 - 164 = 0. Determine y*j(m) + 3*x(m).\nAnswer: m + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - (sqrt(77) + 4*sqrt(77))) + sqrt(77))*6)\/((sqrt(704) + sqrt(11))*6).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 100583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -482 + 499. List the prime factors of -10*p\/((-136)\/540).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*a*r**2*x**2 - 11*a*x**2 - 7*r**2*x - 2*r*x**2 with respect to a.\nAnswer: -5*r**2*x**2 - 11*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -1383 + 1383 + k. Let p(n) = -122*n**2. Give x(p(r)).\nAnswer: -122*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2. Let k(i) = -325648*i**2. Calculate o(k(z)).\nAnswer: -212093239808*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 327 + 35. Let m be (c\/160)\/(0 - 3\/6). Let i = -25\/8 - m. Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 - 64 = -13*g. Solve 2*k + 4*w - 16 = -36, 2*w + g = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 4 + 6. Let j be ((-9)\/(-6) - u)*0. Solve 3 = -y - j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002168477 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 40*r**2 + 2*r - 11. Let j(s) = -13*s**2 - s + 4. What is -8*j(d) - 3*n(d)?\nAnswer: -16*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87, 257, 427, 597?\nAnswer: 767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(-39))\/(2\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -7645*o + 7647*o - b, 7*o - 2*b + 17 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i + 3. Let m be x(1). Suppose -m*o = -14*o. Is -0.1 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10718\/11 - -53579\/55. Which is the closest to -3? (a) 63 (b) -4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9309 divided by -107?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1108525 + -1533?\nAnswer: -1110058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 774488353?\nAnswer: 769, 1007137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 3, 3121, 5 in descending order.\nAnswer: 3121, 5, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3325 and 1197.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 + -0.840883?\nAnswer: 87.159117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7*o**3 - 7*o**2 - 45*o - 5. Calculate the remainder when p(-6) is divided by 59.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*-2*(-7)\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (763\/(-5) - (-2)\/(-5)). Calculate the highest common factor of 78 and y.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4*((7 - (-8 + 15)) + 4). Put y, 4, -5, 27 in decreasing order.\nAnswer: 27, 4, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -651587.2 to the nearest one hundred.\nAnswer: -651600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a minute?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + (31 - (-6 - (-11 - 19))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14214 - -14268. Solve -50*u + 28 = -b*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.4 or 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1820 and 1057147?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxqcuppxpppcqpqcqpxc. Give prob of sequence qq.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010110010111011000010000010 - -11?\nAnswer: 101010110010111011000010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*l - 74*l + 47328 = 0. Does 34 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82230629.\nAnswer: 13, 1619, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 t when three letters picked without replacement from {j: 11, t: 5}.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zik when three letters picked without replacement from lflzfzilkklvklizlk?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -1095*t**3 - 3*t**2 + 11*t - 1356. Let w(z) = 2189*z**3 + 7*z**2 - 27*z + 2712. Let a(h) = -5*k(h) - 2*w(h). Find the third derivative of a(v) wrt v.\nAnswer: 6582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1544, -5, 6719, 2, 4.\nAnswer: -5, 2, 4, 1544, 6719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*a**2 + 12*a**2 + 36*a**2 + 2*a**2 - 4*a**2 + 3*a**2 + 118 - 118 - 187*a**2 + (-2*a + 0 + 0)*(3 + a - 3) as g + h*a + v*a**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d (base 16) to base 6.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -46332*o - 4. Let q = -17 + 29. Let k be ((-3)\/2)\/((-6)\/q). Let f be u(k). What is f rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**2\/3 - 76*c\/3 + 728\/3 = 0.\nAnswer: -26, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*g - 3, 0 = 3*g - 0*g + c + 9. Sort -17, 17, g, 3 in descending order.\nAnswer: 17, 3, g, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*l**5\/3 - 10846*l**4\/3 - 11324*l**3\/3 - 128*l**2\/3 = 0.\nAnswer: -1, -2\/175, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -36*j + 36*j + 2*j**2. Let d(v) = 10*v. What is d(h(q))?\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 29. Let c(v) = 105*v**2 + 15. Let g(j) = 15*j**2 + 2. Let u(z) = r*g(z) + 2*c(z). Let k(n) = -3*n - n + 2*n. Determine u(k(i)).\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 791.996 rounded to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/x**(-32)*x)*x*x\/((x**19\/x)\/x)*x*x assuming x is positive.\nAnswer: x**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1167147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 6. Suppose -4*g + 2*y - i*y + 75 = 0, g + 2*y = 17. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2. Let t(w) be the first derivative of 2*w - 1\/6*w**3 + 0*w**2 + 2. Let r(f) be the first derivative of t(f). Give y(r(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 66.645 and -0.1.\nAnswer: -6.6645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4. Let c(d) = d + 1. Give 2*c(b) + l(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 146712378149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.501 rounded to 0 decimal places?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*w - 302, -4*w + 104 + 200 = -4*i. Suppose 8*a = 3*a + 15. Suppose -a*s - 57 = -6*s. Calculate the remainder when w is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*b = -27354594 + 27386962 for b.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i**(-4\/11)\/i)\/i*i))\/i*i\/i**(-3\/19))\/((i*i*i\/(i**(-33)*i)*i*i)\/i)**(-42) assuming i is positive.\nAnswer: i**(316535\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 129, 104, -2, -4, 3 in decreasing order.\nAnswer: 129, 104, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -2)\/((-4)\/(-36)). Let j be 6\/g*3\/(-5). Let n = -12 + 11. Which is the third smallest value? (a) 4 (b) j (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6*3\/14)\/(1530\/(-5355)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -285\nAnswer: -855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -138*f**2 + 3*f**3 + 5*f + 2 - 3*f**4 - 3*f + 137*f**2 as g*f**4 + y + p*f + s*f**2 + t*f**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k = -45. What is the remainder when 15 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 2*w**2 - w - 3. Let b be j(3). Let c = -8 - b. List the prime factors of c + 4*(-1)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 91 = 5*r + p, -2*p = -r + 15. Is 19 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6004*n = -6019*n + 12227*n + 8364 for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - (28 + -6)) + -9 + 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -10. Let r(u) = -2*u + 0*u + 3*u + 4. Let k be r(0). Solve -2*z = 2*z + k*a - h, z - 3*a + 15 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015589 to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -39*g**8\/56 + 4*g**7\/21 + g**4\/6 - 311*g**2\/2 - 321*g - 4. Find the third derivative of u(j) wrt j.\nAnswer: -4680*j**3 + 480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 36 = 5*u + 2*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 0 - 1\/2*w**2 - 1\/20*w**5 + 5\/6*w**3 + 1\/3*w**4 - 2*w. Calculate q(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -602 - -598. Let c be (-1 - -11)*(-2)\/o. What is the smallest value in c, 2, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 335 + -45. Let q = i + -294. What is the closest to 2 in q, -3, -4\/9, -0.5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101221 (base 5) to base 9.\nAnswer: 4478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*g + 31*g = -4*j + 12, -3*j + 3*g = 63 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 14 - -2 - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 0*c**3 + 0*c - 17\/20*c**6 + 7 + 14*c**2 + 0*c**4 - 28\/15*c**5. What is the third derivative of w(k) wrt k?\nAnswer: -612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7 + 0 = -5*d, 1 = 2*w + d. Let t = -23.019 - -0.019. Is w at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-126) - 16\/42.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 2944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -537, 0.3, -3, 2\/21, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536 = 143*j - 1086 - 4884 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/(-3 + 8)*26\/(-13). Let k(l) = -l**3 - 4*l**2 + 3*l - 7. Let u be k(-5). Solve -f - u*f = n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4\/3 (b) 2\/143 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 251707954 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/20 and (((-6)\/4)\/3)\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 566339509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**5 + 2124*t**4 + 451256*t**3 + 1189584*t**2 - 1882508320*t + 3756614400 = 0. Calculate t.\nAnswer: -110, 2, 56, 693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*i - 5*g - 9 = 244*i, 0 = i + 3*g + 3 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*j - 0. Let t be (0 - j)*(6 - 3)\/(-3). Let k(o) = -3*o**3 - 2*o + 1. Let d be k(1). Which is the biggest value? (a) d (b) t (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26030000 rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 21810.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -1354.\nAnswer: -3\/677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 296 * -5\nAnswer: -1480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 436*f**5*i**3 + f**2*i**2 - 7*f*i**2 - 13*i**3 wrt f.\nAnswer: 8720*f**3*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 13 = 4*m, -4*m + 4 = 2*i - 2*m. Is (-17)\/(-3)*18\/i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 + 127. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 18 = o - 5*o, 3*m + 4*o = 21. Put 0, m, -3, -4 in decreasing order.\nAnswer: m, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 - 0) + -2447 + 2594?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -113*h - 446*h + 7267 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6265688 divided by -120494\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**3 - j. Let g(r) = -8*r**3 - r**2 - 13*r. Give 2*c(m) - g(m).\nAnswer: 2*m**3 + m**2 + 11*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187 and 23334217?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n + 4. Suppose -16 - 2 = -9*q. Let v(r) = -3*r - 3. Let d(b) = q*o(b) + 3*v(b). Determine d(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -3*h**4 - 35*h**3\/3 + 37. Find the third derivative of t(u) wrt u.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*f = 47, 0*f - 45 = 3*c - f. Calculate the least common multiple of 14 and -1 - c - (1 + 0).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 6, 4*s - 2*u - 6 = 0. Let z(d) be the first derivative of 4 - 4*d + 0*d**2 + 0*d**s - 1\/2*d**4. Differentiate z(v) with respect to v.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6309540 at least as big as 6309546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245160, -245130, -245050, -244896, -244644, -244270, -243750?\nAnswer: -243060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -284, -787, -1510, -2453, -3616, -4999, -6602?\n\"Answer: -110*f**2 - 173*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g**3 - 4*g**2 - 2*g - 2. Let f(w) = 14*w**3 - 11*w**2 - 5*w - 6. Calculate -4*f(m) + 11*v(m).\nAnswer: -m**3 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33983363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.15*175.\nAnswer: 376.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7*u - 1. Let r be s(-2). Let c = r + 0. Let q = c + 24. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 85.\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - y + 2*y + 261 = 0, -103 = 2*l - 5*y. Let j = -385\/6 - l. Let v = -29\/3 - -151\/15. Is j not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide (-127374)\/(-12) - ((-24)\/16)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7*z - 2*z - 3*z)*(8*z + 2*z**2 - 8*z) - 2*z**3 - 5*z**3 - 6*z**3)*(-1 + 1 + 2*z) - z**4 - z**4 + 3*z**4.\nAnswer: -17*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.111 + 0.611. Let f = 0.1 + 0. What is the third biggest value in r, -0.4, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 2. Let s = 38 + -33. What is the smallest value in -0.2, s, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621773?\nAnswer: 61, 10193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1731, 4, -1\/11, -0.1, -4\/1123, 0.4, 2?\nAnswer: 1731","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**2\/2 - b + 1. Let d be u(-3). Suppose 0*n + d*n = 42. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2. Let h(b) be the first derivative of -14*b**2 + 8. Determine s(h(c)).\nAnswer: -784*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rngvvigieier. What is prob of sequence rvrn?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/((-4554)\/(-3910)))\/((-35)\/(-42)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1573) + 1 + 1 + sqrt(1573) + (-2 + (sqrt(1573) - (sqrt(1573) + 0)) - sqrt(1573)) + -2 + 1 + sqrt(1573) + sqrt(1573))**2.\nAnswer: -330*sqrt(13) + 14182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v = 15*v + 5*j + 24, -4*j = -2*v + 18 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16506 = -25*a - 6106. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23236352.\nAnswer: 2, 139, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 3:43 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a + 1. Let p(h) = 11*h - 4. Let y(j) = -4*g(j) - p(j). Let s(f) = f**3 + 4*f. Let z be ((-2)\/(-4))\/((-1)\/4). Determine z*s(i) - 3*y(i).\nAnswer: -2*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - (-34)\/(-7))*-3. Is -1 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 17*m**3\/2 + 29*m**2\/2 + 3*m - 5. What is the first derivative of o(f) wrt f?\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, y: 2, j: 10}. Give prob of sequence ccy.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6200 - -6598. What is the remainder when y is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 + 23136*p - 2074959. Give b(89).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, m: 11}. What is prob of sequence ym?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -11*x - 1. Find the second derivative of -20*j + j**3 - x*j**3 - 21*j + 0*j**3 wrt j.\nAnswer: -30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/9)\/(5\/(-5055)). Let c = 338 - s. Solve -3*y + 0*f + f + c = 0, 2*f + 2 = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -737555.064372.\nAnswer: -737555.464372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6373*w**2 - 19*w + 19*w.\nAnswer: -6373*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 54 - 48 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 + 2678*l**3 + 70 + 1117*l**3.\nAnswer: 3795*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**3*(v**(3\/8)\/v*v)\/v)\/(v*(v*v**(-1\/3)\/v*v)\/v)**(-38))\/(v*v**(1\/2)*v**6*(v**(-2)\/v)\/((v*v**(-1\/3)*v)\/v)) assuming v is positive.\nAnswer: v**(151\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + g**2 + 4. Let w be f(0). Suppose 3*q = -a - 3, 1 = -w*q - 7. Suppose -b = -a*b. Solve b = 2*r - 3*j - 5, r + 2*r = j - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5*w, -4*w + 36 = 4*n. Suppose -3*o = 5*b - 11, -3*b - 32 = -8*b + 4*o. What is the lowest common multiple of n and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(((-21)\/(-2))\/(-7)). What is the closest to -3 in x, 5, 11, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 19*r**2 + r + 19. Let g be i(-19). Suppose w = t - 27 - 40, 3*t + 2*w - 196 = g. What is the greatest common divisor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 459\/612*276\/(-9)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + y - 2*y)*(-2*y - 3*y + 3*y)*(0*y - 4*y + 3*y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + 5 - -35 - 33 - -33.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 31. Let a(t) = t**2 - 11*t + 11. Is a(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -98\/87?\nAnswer: -98\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**8*a*a**(-5\/2)*a*a\/((a*a**(5\/6))\/a)*a*a**(2\/39) assuming a is positive.\nAnswer: a**(340\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*z + 18, z - 23 = -2*z + 4*d. Suppose 5*x - 2*h = -15, -4*x - 2*h - 40 = 2*h. Let i be (z\/(-5))\/(x\/50). Solve 2*j = -i*j - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -776258.6+1117\nAnswer: -775141.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/10 and -101\/952?\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 2*v - 2 - 2 = 0, 14 = -3*w + v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*n - 849 - 873 = -n. Calculate the remainder when 939 is divided by n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 5. Let t = -5 + a. Let d(l) = -3*l + 4. Let j be d(3). Sort t, -0.1, j in descending order.\nAnswer: t, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 3*q - 2*q + (0 + 2*q + 0)*(2 - 3 + 0))*(10 - 15 - 36)*(-8 - 4 + 6).\nAnswer: -246*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 4*x - 8, 2*x - 4*x = 5*j + 2. Let y be -2 + (12\/15 - j). What is the nearest to 3\/2 in 0, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*g - 263*g = 2, -27 = 3*x - 3*g for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4466 is divided by 737.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -21. Let x be 5\/2*i\/(-10). What is k in 0*k**4 - 6*k**3 - 6*k**2 - k**4 - k**4 - x*k = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**5 - 19*t**2\/2 - 26*t. Find the first derivative of o(c) wrt c.\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 76*v - 68 = 74*v, -4*v = -5*m + 85. Suppose 22*h - 4*k + 6 = m*h, -3*h - 3*k = -18. Solve p = h*p - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c + 5*d = -10, d = 5*c - 6. Let m(p) = 2*p**3 - p**2 - p + 1. What is the units digit of m(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 365243*b - 365246*b - 34, -5*s - b + 202 = 0 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42473218?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 18*b + 3. Let s be d(-3). Let c = 72 + s. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1537789408 to the power of 1\/3, to the nearest integer?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -178.6? (a) 2\/3 (b) 2875 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15186283 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1268 + 1268 - m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 796 - 2208. Let y = w + 2098. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -180 + 132. What is the smallest common multiple of g and 17?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1085*d + 197*d - 1149*d - 21419 + 113084 for d.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 36.05 times -2\nAnswer: -72.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 20 = y + 2*t, -4*y = 2*t - 84. Let w(a) = 22*a**2 - 9*a + 9. Let p be w(1). Calculate the highest common divisor of p and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7335 + -80589\/11. Which is smaller: -0.3 or u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -90 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2317, 2263, 2173, 2047?\nAnswer: 1885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(2816) - (sqrt(2816) + -2*sqrt(2816)))*-2 - sqrt(2816)) + (sqrt(2816)*-2*5 + sqrt(2816) - sqrt(2816)))\/((sqrt(64) + -1*sqrt(64)*-1)*4).\nAnswer: 45*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3216*q + 6479*q - 3263*q - 50*q**2 + q**3 to v*q**3 + m + c*q + p*q**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9077377 is divided by 34.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 6, -14, 1 in increasing order.\nAnswer: -14, -3, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -32*h**2 + 364*h + 11. Let o(i) = 6*i**2 - 2*i - 2. Determine -b(s) - 5*o(s).\nAnswer: 2*s**2 - 354*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.9, 2, 1992\/29, -3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1991 and -6?\nAnswer: 1997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 50\/8 + 2\/(-8). Let z = 8 + n. Calculate the remainder when 26 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2125 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 (-27*24\/108)\/((-10)\/(-105)*-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2 + 273*s - 7284. Determine b(41).\nAnswer: 547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 174 - 179. Let n be (4\/3)\/(-4)*(-4 + h). Solve j - 4 = 0, -5*q + 4*j = -7 + n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 = -2*s + 6. Let b be (s\/(-45))\/((-8)\/20). Is 2334\/(((-1)\/(-2))\/(2\/b)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86\/(-43)*1\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {n: 5, v: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91 + -29. Let p = -68 - b. Let t = p - 51.99925. Round t to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, 1\/2302, 1?\nAnswer: 1\/2302","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1023223 (base 4) in base 2?\nAnswer: -1001011101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(-30))**(-7) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 + 0.1. Let o = -0.21194 + 0.11194. What is the closest to o in g, -4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 82*n - 37*n - 26*n. Let s(z) = -9*z. What is p(s(l))?\nAnswer: -171*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3102107111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2 (b) -2\/17 (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1816214 - 140886. What is r rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2535 or -2545?\nAnswer: -2545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 3*v + 2. Suppose 8 = 2*z - 5*o + o, 0 = -4*o. Let u be r(z). Let w = u - 1. Which is the third smallest value? (a) 4\/9 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11175 (base 8) in base 5?\nAnswer: 122413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + -3)*6 + 1)**2.\nAnswer: -2448*sqrt(17) + 88417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (267\/623)\/((-3)\/126)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2637474, -2637471, -2637468, -2637465, -2637462?\n\"Answer: 3*j - 2637477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 6*m**2 + 1. Let h be s(-6). What is the remainder when (-2)\/2 - (-3 - 4) is divided by 20\/12 + h\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.10163 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 960971.\nAnswer: 11, 199, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gk when two letters picked without replacement from yyuuugybukbkguukkuu.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6144 by 1024.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33450 - -34114. What is the highest common factor of 3403 and z?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 13*l - 3*l. Is -9 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13357869\/88 or -151793?\nAnswer: -151793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 12:50 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**4\/5 + 150344*z**3\/5 + 2825114086*z**2\/5 - 11302410896*z\/5 + 8477146464\/5 = 0.\nAnswer: -37588, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1614 - 445?\nAnswer: -2160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111550103 (base 6) to base 9.\nAnswer: 3766243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1042 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -8*t + 2*t. Let p be (-7)\/14 - t\/(-4). Suppose p*f + 0*h = h + 1088, 656 = 3*f + h. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 23\/5, 1, 0.2 in decreasing order.\nAnswer: 23\/5, 1, 0.2, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-5) + 0)*30. Suppose 3*p = i - 9. Suppose 0 = -5*k - 5*d - p, 13 = 5*k - 0*k - d. Is 2 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*(sqrt(2736) + sqrt(2736) + 2) + (sqrt(171) + (-1*sqrt(171) - sqrt(171))*2)\/sqrt(9))*-2.\nAnswer: 10 + 102*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2960?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 26860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*b + 16, -3*b + 8 = 5*g. Suppose 0 = -2*z - 0*z. Suppose -f - 2*f + 4*o = z, g*f = o. Solve f = -3*h + 13 - 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2799733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/23600 and -7\/590.\nAnswer: 23600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-135)\/1350 - 6\/140. Sort o, 50, -0.5 in increasing order.\nAnswer: -0.5, o, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -10580*q + 60. Let l(c) = -42322*c + 225. Give 4*l(v) - 15*s(v).\nAnswer: -10588*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*l + 18, 4*l - 5*z - 26 = -8*z. Find the second derivative of -y - 5*y**2 - 193*y**4 + l*y**2 - 70 - 20*y**4 + 27*y**4 wrt y.\nAnswer: -2232*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 - 65. Solve l*p = p - 2*z + 8, -3*p + 4*z - 16 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3 = -0. Let r be 0 - (0 + 0 - 1). Let s = r - u. Sort s, -2, 0 in decreasing order.\nAnswer: s, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 + 55*p**3 + 175*p**2 + 125*p.\nAnswer: 5*p*(p + 1)*(p + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11530 - -11285. Which is smaller: -240 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-10*10\/(-40)*(-12)\/(-10))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 - 3. Let i(u) = 1. Let p(z) = 5. Let q(w) = -4*i(w) + p(w). Give d(s) + 4*q(s).\nAnswer: 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/520 and -34\/26585.\nAnswer: 212680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - u - u)*(2 + 1 - 1) + 2*u - 9*u + u + (3*u - 4*u + 3*u)*(-1 - 2 + 0) + 5*u - 2*u - 2*u.\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 420804715 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -4*k, -2*g - 3 = 4*k + 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0023643 to 5 decimal places.\nAnswer: -0.00236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7085 - 3808. What are the prime factors of x?\nAnswer: 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6324, -6317, -6310?\n\"Answer: 7*x - 6331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**5\/210 + y**4\/14 - 3*y**3\/7 - 3*y**2\/2 + 2. Let l(f) be the second derivative of n(f). Factor l(z).\nAnswer: -2*(z - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/3 - 5299*v**3\/3 + 3122285*v**2 - 5535754825*v\/3 + 21993488500\/3.\nAnswer: (v - 1765)**3*(v - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of y**5 + 15631*y**4 + 67*y**3 - 5602*y**2 - 239*y.\nAnswer: 60*y**2 + 375144*y + 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(1\/4)\/y)**(-5)*y**(-7)\/(y*y**14))**(-3\/13) assuming y is positive.\nAnswer: y**(339\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7540, -15078, -22614, -30148, -37680?\n\"Answer: c**2 - 7541*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z**(-1\/3)\/z)\/z))**6)**(-19)\/(z*z**(-3)*z**(-1\/5)*z)**(-37) assuming z is positive.\nAnswer: z**(-2122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (14 + -1) - -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -319911.\nAnswer: -63982.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 + 6 + 35\/5. Find the second derivative of -3*q + 2*q**5 + 1400*q**2 - 11 - 1400*q**2 + 17*q**i wrt q.\nAnswer: 380*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p. Let i be (-30)\/45*(-3)\/2*-3. Let k(h) = 8*h**2 - 3*h + 3. Let x(m) = 7*m**2 - 2*m + 2. Let n(v) = i*x(v) + 2*k(v). Give q(n(b)).\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a. Let u be -12 - (-6)\/(-5 + 2). Let l(x) = 3*x**2 + 2*x - 2. Let m(j) = -10*j**2 - 7*j + 7. Let y(n) = u*l(n) - 4*m(n). Calculate y(p(f)).\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**2\/3 - 17351470*w\/3 - 75268377790225\/3 = 0.\nAnswer: -8675735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2\/3*k**2 + 2 - 4\/3*k = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1273)\/114 + (-10)\/(-30)*(-2 - -29).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + d = -7333787, 3*d = 2*p - 6568226 + 1679037. Let t = 3987000 - 2131596. Let x = t + p. Round x to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -342*q**2 + 2 + 20*q**2 - 77*q**2 - 74*q**2 to w*q + c + h*q**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m**3 + 65*m**2 - 17*m + 12. Let r(a) = -13*a**3 + 132*a**2 - 31*a + 22. Give -6*r(d) + 11*t(d).\nAnswer: d**3 - 77*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + 0 + 28 + -170 + 152.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5\/8 - g**4\/4 - 7*g**3\/8 + 5*g**2\/2 - 3*g\/2.\nAnswer: g*(g - 2)**2*(g - 1)*(g + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 = g - 225. Suppose -14*j - g = -8*j. Do j and -90 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1*3)\/(15\/(-3)). Let c be 60\/(-16) - (-1 + -2). Sort -0.4, c, g.\nAnswer: c, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5133 is divided by 109?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*g + 3)*(3*g - 4 + 8 + g).\nAnswer: 8*g**2 + 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 48 - 42 = 0. Let i(z) = 2*z - 3*z + 15 - z**3 + z**2 - 2*z**2. Let f be i(0). Calculate the greatest common factor of b and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448 = 45*y - 27*n - 20*n + 45*n, -3*y - 6 = -4*n + 20 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w**2 - 255*w + 65. What is s(-64)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 38\/49 (c) -3 (d) 3 (e) 0.1 (f) 155\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 170*u**3 - u**2 - 144*u.\nAnswer: 1020*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2339904, -9359661, -21059254, -37438677, -58497924?\nAnswer: -84236989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20.04 - -21.04. Let y = -4 - -6. Let j = 11 - 6. Which is the nearest to p? (a) y (b) j (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185550081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7498*m + 7519*m - 3528. What is the remainder when m is divided by 127?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v - 1. Let t(f) = -13*f - 841. Calculate -t(n) + 7*x(n).\nAnswer: -n + 834","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -119.7 + 106.41. Round c to zero dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuuiuu. What is prob of sequence iiu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 1:17 PM?\nAnswer: 346","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 8a?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 609 and 64728.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -4\/3, -3, -23\/404, -952\/5?\nAnswer: -23\/404","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24880.28 * -5.\nAnswer: 124401.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 + 8*l**4 - l**3)*(0 - 3 + 0).\nAnswer: -24*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 270 or -1\/2005?\nAnswer: -1\/2005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqr when three letters picked without replacement from {r: 2, q: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 + 358*i - 2200. Let q be h(6). Solve -11*u + 36 = -q*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -9. Suppose 3*b - 98 = -38. Let f = g + b. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-73*h**3 + 134*h**3 + 155*h**3)*(-4 + 0 + h - 6) in the form a*h + q*h**2 + l*h**4 + d*h**3 + z and give l.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25.6999861 + -25.7. Round o to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 19) + 22 + -20 + -7?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(6\/5)\/(c\/c**(-32)) assuming c is positive.\nAnswer: c**(-159\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3 - 24. Let n be 6\/14 - 52\/y. Let k be 2\/n + (-192)\/(-84). What is the closest to k in 0, 0.4, 2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 y when three letters picked without replacement from yayyvyyyyyyyyvyuy?\nAnswer: 13\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/147)\/((-850)\/60)*(-4 - (-36)\/8).\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = -6*r + 2*k - 5, 5*k = -r + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*((sqrt(2) - 2*sqrt(8)\/sqrt(4)) + sqrt(4)\/sqrt(2)*3 - (2 + (sqrt(2) - (0 + sqrt(2)*1)))))**2.\nAnswer: -24*sqrt(2) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -556 - -477 - ((-19 - -23) + (0 - 18))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**8\/336 - z**7\/105 + z**5\/30 + z**4\/24 + z**2 - 3*z. Let v(b) be the first derivative of g(b). Solve v(y) = 0 for y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -3 (b) -1 (c) -0.1 (d) 110\/17 (e) -2.64 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t - 20*t - 20 = 5*j, -3*t - 20 = 2*j + 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 1. Let j be (-932 - -3)*1*r. Is j\/(-7) + 10\/35 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4136*b**3 - 44*b**2 + 9021. Let k(m) = -827*m**3 - 8*m**2 + 1804. Let x(y) = -2*i(y) + 11*k(y). Differentiate x(t) wrt t.\nAnswer: -2475*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -154? (a) -2 (b) -2\/15 (c) -3 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*v + l = 154*v + 43, -30*v + 52 = l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-9)*(-54)\/26. Let g = -8218 + 8220. What is the nearest to g in k, 0.3, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 74793 (b) -0.3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 272365?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12957620 greater than 12957618?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/7 - (-45)\/63.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -166 + 179. Let g be 18\/4*52\/6. What is the greatest common factor of y and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-31)\/28*(-6)\/1 and -19\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 36. Let l be i(40). Suppose 2*v + 4 = -4*n - 2*v, -l*v = 5*n + 5. Let q = -155\/468 - -11\/36. Are n and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 11 = 2*r, 3*r + 2*a - a = -18. Let z(o) = o**3 - 6*o**2 + 4*o + 2. Let p be z(4). Let j be p\/r - (-14)\/(-8). Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1331)*2)**2 + 1.\nAnswer: 5325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v**2 + 7*v + 7. Let u be d(4). What are the prime factors of (-2)\/5 + ((-7983)\/u - -5)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 735.48 - 749. Let b = 30 - d. Round b to 0 dps.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -27. Calculate the least common multiple of 10 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -3) + 9 - 8 - 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 1. Let m be 0*1\/(-3) + g. Let v = -1 - m. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 777718171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -18*i + 24*i**2 - 39 + 18*i**2 + 24*i**2 - 52*i**2 - 9*i**2. Give s(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 32\/39861?\nAnswer: 32\/39861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - m = 0. Calculate the remainder when (1 - m)\/(3\/6) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(7\/5))\/b**(-1\/2)*(b*b\/(b\/(b*(b**(1\/14)*b)\/b)))\/(b**4*b)*(b**(2\/5)\/b)**(2\/151)*(b*(b*b**(1\/2))\/b)**(-16) assuming b is positive.\nAnswer: b**(-141831\/5285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)*-1 + 4 + (1*sqrt(68) + 2)**2 - (1 + ((sqrt(68) + (sqrt(68) + -1 - sqrt(68)) + sqrt(68))*-3)**2).\nAnswer: -2382 + 78*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + n - 2*n + 5, 1 = -3*q + 2*n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1364, -2840, -5300, -8744, -13172, -18584?\n\"Answer: -492*r**2 - 872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -218*q + 50*q + 94*q + 2*q - q + 2*q + (0 - 1 + 0)*(q + q - 3*q) - 3 + 3 + 3*q as a*q + n and give a.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34189 - 55360 - 10767 + 9492 - y**2.\nAnswer: -y**2 - 90824","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24238*d = -24201*d - 962 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -54, -143, -234, -327, -422?\n\"Answer: -g**2 - 86*g + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57239*o + 7*i = -57237*o - 27, 2*o - 2*i = 22 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 379429124 divided by -939181\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -34 + 20 + -7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29\/120 + 11\/120. Suppose -1\/3*f**3 - 1\/3*f**2 + 1\/3 + j*f = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 354003 and 3741.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1 + 780011*q**3 - 781045*q**3 + 17 - 28*q**2 wrt q?\nAnswer: -6204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 4*x = -33. Suppose 16*h - 4075 = x*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 12*a**2 - 40*a + 11. Let k be f(3). Is k at most 3\/974?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)\/(v\/(v**1\/v)))\/(v**(-5\/2)\/(v*v**(2\/5)))*(v**(-5\/6)*v)\/(v**0\/v)*v*(v\/v**(-6\/11)*v)\/v*v*(v\/(v\/(v*v*v*v**3*v)))\/v*v assuming v is positive.\nAnswer: v**(2081\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 682b2 + 2?\nAnswer: 682b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**2 - 123*u - 557. What is x(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174597.\nAnswer: 3, 58199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(6) - sqrt(864)*1 - sqrt(6)))\/(((sqrt(72)\/sqrt(2))\/sqrt(6))\/sqrt(3)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (200 - 209 - (-2 - 25)) + 1 + 39.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + (10 + 32 - 3*-1) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 223 - 6*f**2 - 21*f**2 - 243 wrt f.\nAnswer: -54*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 300006 and 1008.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 540 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -1\/8*g**5 + 1\/2*g - 3\/8*g**3 - 1\/2*g**2 + 0 + 1\/2*g**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 789.1436ng to tonnes.\nAnswer: 0.0000000000007891436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000915761788 to seven decimal places.\nAnswer: -0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -16. Solve x - k*x + 9 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**6\/420 - q**5\/210 + 59*q**2. What is d in l(d) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1104 = -14269*m + 14317*m for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**2\/7 - 75612*i\/7 + 75609\/7 = 0?\nAnswer: 1, 25203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -299999*h**3\/2 + 15*h**2\/2 - 10*h. Let d be y(-5). Round d to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6294344, -6294340, -6294338, -6294344, -6294364, -6294404?\nAnswer: -6294470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 65 + 87 = 0. Suppose t + 32 = p. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -292839 and -0.1.\nAnswer: 29283.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 11*a - 28. What is o(13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**5 + 28*s**4 - 40*s**3 - 64*s**2 = 0. Calculate s.\nAnswer: -8, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 165473796 to the power of 1\/3, to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2 + 2)*((-3*z + z + 5*z)*(-72 + 18 - 28) + 0*z + 0*z - z)*(3 - 3*z**3 - 3) + (2*z**2 - z + z)*(-z**3 - 2*z**3 + 4*z**3).\nAnswer: -739*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -10*x**3\/19 - 7392774*x**2\/19 - 2957108*x\/19 = 0.\nAnswer: -739277, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((4 - (-63)\/(-18)) + 1)\/(-2)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -107\/5 + 326\/15. Let u be (-2)\/6 - 4\/(-12). Factor -p*v + 1\/3*v**3 + u + 0*v**2.\nAnswer: v*(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14081*x + 14063*x + 108 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 16.4 (b) 0.61 (c) -4\/15 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1. Let l(z) = -6*z - 3. Let g(c) = c**2 - 4*c - 6. Let o be g(5). Let h(a) = o*q(a) - l(a). Is h(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/41)\/((m\/m**(-25))\/m) assuming m is positive.\nAnswer: m**(-1024\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/9 + 2\/9. Let u(z) = z**3 + z**2. Let o be u(q). Solve -5*p + p + 12 = o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 32, -13 in ascending order.\nAnswer: -13, -3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -1. What is the units digit of 112\/11 - x\/88?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 m when three letters picked without replacement from zkmzkmlcmhmh?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -225 (base 6) to base 16.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00626867787 rounded to 6 dps?\nAnswer: 0.006269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 163056 and 2416944?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21853, 43699, 65547, 87397, 109249?\n\"Answer: r**2 + 21843*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*r + 4*x, 6*x - 8*x = -8. Suppose 5*u - 51 = -n, 0*n + 4 = -n. Factor -4*c**2 + 7*c**3 - 12*c**2 + u*c**4 - 4*c + 16*c - r*c**4.\nAnswer: -c*(c - 3)*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 29*t**2 + 11*t - 25. Let p be b(6). Let s = -829 + p. What is the highest common factor of s and 192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 830, 2594, 6020, 11660, 20066, 31790, 47384?\nAnswer: 67400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/(m*m**(1\/4))*m)\/m*m*m)**(23\/2)*(m**(-2\/7)\/m)\/m**(-8))\/((m*m**(-5))\/(m*m*m**(-7))*m*m\/m**(-7)*m*m**(-1\/7)) assuming m is positive.\nAnswer: m**(1539\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o - 2*o - 3*o)*(-1 - 4 + 4)*(3 - 1 + 0) + 66*o + 59*o - 149*o to the form j + c*o and give c.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -9*d**3 + 6*d**2 - 5*d. Let f(y) = 194*y**3 + 0*y + 2*y - 189*y**3 - 3*y**2. Let t(p) = 5*f(p) + 2*i(p). Find the third derivative of t(c) wrt c.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**2 + 21*b - 8*b - 12*b**2 - 2*b**2 - 10*b to the form a*b + p*b**2 + w and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 876889.\nAnswer: 13, 67453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 518364063*z**4 - 969119985 with respect to z.\nAnswer: 2073456252*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*((-3*(sqrt(175) + 3 - sqrt(175)))**2*-6 + (-5*(sqrt(175) + 0) + 3)**2).\nAnswer: -750*sqrt(7) + 19486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 3 - t + 4.\nAnswer: -t - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 23 - 29 = 0. Calculate the common denominator of -3\/23 and 3*(y - 295\/60).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42987.45917199 + 0.03917199. Let b = 43175.4069 + g. Let q = 188 - b. What is q rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvd when three letters picked without replacement from vdzvddvvdzvddvzdvdd?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*h)*(3 - 33 - 5) + 6*h - 2*h - h.\nAnswer: 73*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5401 - -0.39107\nAnswer: -5400.60893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c. Let t be w(3). Suppose -1 + t = -2*i. Let m = 5 + i. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51657*z**2 + 51460*z**2 - 103356*z**2.\nAnswer: -239*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**1\/s)*s*s*s*s)**17\/(s**(-9)*s*s)**6 assuming s is positive.\nAnswer: s**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -691\/22, 7, -1704?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*v - 30*v - 49 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 328093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 9:12 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**7\/42 - l**5\/10 + 31*l**4\/24 + 29*l**2. Find the second derivative of v(k) wrt k.\nAnswer: -60*k**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/9)*g\/g**(-1\/6))\/(g**(-2))**(-1\/2) assuming g is positive.\nAnswer: g**(25\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1392680 and -41\/68067235?\nAnswer: 544537880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -921, -2199, -3453, -4683?\nAnswer: -5889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (-11 + (1 - 0)). Suppose 5*r = -7*c + 3*c - 26, 4*c + 20 = -4*r. Let j = r + x. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111 - -1010111010111101111101?\nAnswer: 1010111010111111001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1873 by -1.\nAnswer: -1873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*x**3 + 5*x - 11321*x**2 + 11321*x**2.\nAnswer: 31*x**3 + 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-20))\/(-33 - 2366\/(-70)))\/((-5)\/(-24)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**4\/9 - 16*b**3\/3 + 128*b**2\/9 + 64*b\/3 - 64 = 0?\nAnswer: -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1411 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -490*j**3 + 10*j**2 + 5*j - 5. Let k(i) = 21072*i**3 - 432*i**2 - 216*i + 216. What is 5*k(c) + 216*q(c)?\nAnswer: -480*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -2\/11 (b) 1 (c) -1\/10 (d) -0.2 (e) -1\/2955 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -116147 (base 8) in base 3?\nAnswer: -2000220221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99233 is divided by 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-40)\/(-5) - 2)\/(-2). Let c be j*1 + 3332\/1106. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*t + 10*t + 10*t + 20*t - 13*t + 16*t.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 95.5027 and 0.5?\nAnswer: 47.75135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.38659 to 2 dps.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*z + 567 = -583 + 1004. Let s(j) be the first derivative of 3*j**z - 22 + 2\/3*j**3 + 0*j. Factor s(h).\nAnswer: 2*h*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 162. Let x be (16\/(-42) - (-2)\/(-7))*u. What is the highest common divisor of x and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**2 - 33*a + 20. Give f(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 - 9)*(-t + 2*t**2 + t**2 - t**2) as d*t**2 + m + k*t and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**3\/7 - 156*j**2\/7 - 576*j\/7 + 20736\/7 = 0.\nAnswer: -24, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -690757 * -3.\nAnswer: 2072271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52899?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1386.7 rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1503 - -0.0503. Let d = -36 + 106\/3. What is the smallest value in d, m, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81020061 + -156799681. Let k = z + 75779621.20000017. Let m = 1.2 - k. Round m to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1221 at most as big as -1220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -122112110 (base 4) in base 14?\nAnswer: -2b48c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 0) + -13 + 28 + -27 - (-6 + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 8:50 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -775 - 841*w - 431 - 3*w**2 - 33*w - 310*w + 195 wrt w?\nAnswer: -6*w - 1184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-34) - (-664)\/136) + -4 + 3. Solve 5*m + 6 + 9 = h*v, 0 = 3*m - v + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.5 - -6. Let m = 2 + x. Let l = -0.1 + -0.3. Which is the third biggest value? (a) -5 (b) m (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 0*n**4 + 0*n + 0*n**2 - 29\/3*n**3 - 22\/3*n**6 + 0*n**5 - 9. Find the third derivative of r(g) wrt g.\nAnswer: -2640*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*g = -20, 0 = 2*c - 6*g + 4*g - 8. Solve -c*a - 2*a = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17.01 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1026493 + e?\nAnswer: -1026485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - (-3 - 1 - 1). Let i(r) = -r**2 + 16*r - 12. Let u be i(15). Suppose 24 - 6 = u*w. Solve -5*m + w*m + j = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -67219, -134437, -201643, -268831, -335995?\n\"Answer: c**3 - 67225*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2075 and 980645.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 34.9?\nAnswer: 34.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bmwkmdbwimwmbdibbibm. Give prob of sequence mkmd.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 681.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (5808\/(-198))\/(804\/(-3015))\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -4*j**4 + 154*j**3 - 502*j**2 + 420*j = 0?\nAnswer: 0, 3\/2, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 96294929 to the power of 1\/2, to the nearest integer?\nAnswer: 9813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**2*l*r**2 + 11*h**2*l + 16*h*r**2 + 2*l*r**2 - 76*r**2 with respect to h.\nAnswer: -4*h*l*r**2 + 22*h*l + 16*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -376968\/11 + 10433141\/220. Let n = 13159 - r. Find the common denominator of -151\/12 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77 - -76. Suppose 25 - 5 = -4*i. What is the third biggest value in i, 2\/15, d, 8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5\/2 - 87*c**4\/2 - 168*c**3 - 166*c**2 = 0. Calculate c.\nAnswer: -83, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*o - 936*b + 934*b, 22 = -3*o - 5*b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + 3 + -3 + (sqrt(17) - sqrt(1700)*1 - (sqrt(204) - -1*sqrt(204))\/sqrt(12)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*l = -18*l + 348834. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - 5. Let g = w + 39. What is the common denominator of (-7)\/7*g + (-102)\/(-46) and -20\/3?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-8 + 2 + 4 - -4) - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52686.\nAnswer: 2, 3, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.01406 + 3.01. Round o to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34690 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 327*a - 3519. What is the lowest common multiple of b(18) and 90?\nAnswer: 23670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nll. Give prob of sequence nll.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10000202211 - 10221?\nAnswer: -10000220202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 6699.\nAnswer: 6699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, -1\/5, 3\/2, 1996?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -560 - -576. Solve 4*x + 8 = -4*i, 2*x + i + 4*i = -u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.02 - 0.03. Which is the closest to -1\/2? (a) l (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 4*f + 4. Let b be o(4). Suppose -a = b*z - 20, -a = a - 3*z - 51. Suppose 3*d + 6 = a. Solve h + 5 = d*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2283001.8 months to centuries.\nAnswer: 1902.5015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 w when two letters picked without replacement from wkorrtffkttortk?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1987.\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*r + 8 + 6*r - r - 5 as t + k*r and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 0*p**3 + 0*p + 1\/20*p**5 - 3\/16*p**4 + 3 + 1\/2*p**2. Let c(j) = 0. Calculate j.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*a - 77 + 74, 0 = -4*a + 2*r - 2. Solve o = 5*f - a, -5*f - 8 + 7 = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(77)\/(sqrt(28) - sqrt(7)) - -1*sqrt(539)).\nAnswer: -3 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 58872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**3 - 2*y**2 + 4*y - 40 - 4*y + 42 + 2*y to w*y**3 + q*y + j + t*y**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 0 + 1\/6*g**4 + 0*g**2 - 29*g + 0*g**3. Let i(u) = -4*u. What is i(t(n))?\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36905 - -112757. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**2 - 10*a + 10*a + (5 - 1 - 2)*(a**2 - 2*a**2 - a**2) - a**2 - a + a + a**2 + 5*a**2 - 4*a**2.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, e: 3, i: 2, o: 2, x: 1, r: 1}. What is prob of picking 1 x and 1 i?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -18 + (-4 - -29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 991894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -15322\/23 less than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k*k**(2\/3)*k)\/k*k)*k**(-1\/5)*k)**(8\/7)*(k**2\/(k**1\/k))\/(k**3\/k*k**4*k) assuming k is positive.\nAnswer: k**(-107\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 10*i - 74. Let x be m(6). Let z(t) = -2 - 16*t - 3*t**2 - 2 + 2*t**2. What is the remainder when 45 is divided by z(x)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/7)*k*k**(3\/8)*k)**(-2\/57)*((k**(2\/3)\/k)**(1\/59))**(-3) assuming k is positive.\nAnswer: k**(-2241\/31388)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3691*u + 4*u**4 - u**2 + 4 - 2*u**4 - 3694*u + 2*u**3 to the form j*u**3 + l*u**4 + q + r*u**2 + t*u and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 + 4*r**4 - 4*r**4 + (2*r**3 - r**3 + 0*r**3)*(-1 - 2*r + 1) + r**3 - r**3 + 2*r**4 + (0*r + 0*r - r**3)*(-r - 7*r + 2*r) + 2*r**3 - 2*r**3 + r**4.\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7159, -2, 4, -1\/4, 2\/5, -0.1.\nAnswer: -7159, -2, -1\/4, -0.1, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -50 (b) 4 (c) 7.461 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * 66.\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o = 8 + 37 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -13. Let p = s + 7. Solve 5*k = -4*b - 16, 2*k - b = -2 + p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + 1. Let g(m) = 7*m**2 - 6*m + 7. Let n be g(1). Factor -36*j**2 - n*j - 60*j**3 + 6 + 32*j - d*j.\nAnswer: -3*(2*j + 1)**2*(5*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4504 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1323222 + -20?\nAnswer: -1323302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5670*n**2 - 3624*n**2 + 2137*n**2 to y*n**2 + c*n + s and give y.\nAnswer: -7157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + (17 - (6 - 8) - -1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 65*v**3\/3 + 2*v**2 + 3*v + 1. Let x be f(-1). What is the highest common factor of 128 and x?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 55\/(-30) - 66\/(-180).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73267 is divided by 73253.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4972055 divided by 4972055\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 4:55 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**2\/(d*d*d**1)*((d\/(d\/d**(-1)))\/d)**1 assuming d is positive.\nAnswer: d**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 h, and 1 v when three letters picked without replacement from {w: 1, v: 2, h: 9, o: 2, u: 3}.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 6*x**2 + 10*x - 5. Let d be w(5). Let o(h) = d*h**2 + 8 - 10*h**2 - 11*h**2. Let f(n) = 2*n. Calculate o(f(t)).\nAnswer: -4*t**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -5)\/(39 + -1 + 0). Which is the nearest to 5? (a) i (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 36 = 4*o, 19 = -2*o - a - 2*a. Suppose -2*d = -d + 7. Is o equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59.9999952 - 60. What is b rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1236, 1219, 1202, 1185?\nAnswer: 1168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/30652 and 75\/30652.\nAnswer: 30652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-450)\/(-1650))\/(4\/154)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 3*y = -127 + 149, -15*a + 71 = y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 15. Let b be h(15). Solve 20 + b = -4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 92*k**3 + 5*k**2 - 3*k + 6. Let u(o) = 91*o**3 + 6*o**2 - 4*o + 8. Determine -4*a(f) + 3*u(f).\nAnswer: -95*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6103 + 0.4103. Which is the third biggest value? (a) x (b) 1 (c) -6\/49 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*i + 0*t - 6*t + 155 = -10*t, 0 = 4*i - t - 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**3 + 62*h**2 + 172*h + 112 = 0.\nAnswer: -28, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/12 + 667\/(-345).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46084 and 24764?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67933623 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - h + 1. Let l(s) = 3*s**3 - 12*s + 5. Let o(i) = -l(i) + 5*v(i). Find the second derivative of o(z) wrt z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 4*s**2 + 4*s - 13. Let b(w) = 4*w**2 - 7*w + 7. Let t be b(1). Let r be k(t). Solve -r*h + 4 = -8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*f**4 + 14*f**4 - 3 - 6*f**2 + 5*f**2 - 2 to z + k*f + w*f**4 + r*f**3 + t*f**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/((80\/(-192))\/(24\/16)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-28 - (-19 + 5)) + 7 + 0.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence med when three letters picked without replacement from {g: 1, c: 1, z: 2, e: 1, d: 1, m: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -7*v**4\/24 - 34*v**3\/3 + 39*v**2. Let y be h(-10). Factor 2\/3*q + 2\/3*q**y - 4\/3.\nAnswer: 2*(q - 1)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 116 + -36. Let x = t + -80. Let i = -49 - -48.7. What is the nearest to x in 0.2, -3\/7, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -13*(1 + 0)*-1. Let x(m) = 5*m**2 + 6. Let h(j) = -11*j**2 - 13. Suppose 15*q = 54*q - 234. Calculate f*x(y) + q*h(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 24 = j, 4*j + 2*c - 66 = c. Determine a so that -8*a**5 + j*a + 66578 + 28*a**3 + 18*a**4 - 66578 - 72*a**2 = 0.\nAnswer: -2, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 * -3\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from iiillillliiliiiliii?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, q: 2, j: 5}. Give prob of sequence vjjq.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 92?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/80 and 75\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5863, -11677, -17491?\n\"Answer: -5814*d - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118 - 2*u + 0*u + 118.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 12*v**2 - 24*v - 9. Give a(14).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, -15, -61?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71916, -71917, -71918, -71919, -71920, -71921?\nAnswer: -71922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*d - 105*d + 750 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -695 - 836 = -83*m - 120. Calculate the remainder when 1049 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3137007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 5. Let o be i(-2). What is the biggest value in 4, 3\/2, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 + 17*a**3 - 6*a**3 - 14*a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 3*s**5\/20 + s**4\/3 - 2*s**3\/3 - s. Suppose -10 = -t - 15. Let o(r) = -4*r**3 - 5*r**2 + 5*r. Calculate t*b(n) - 4*o(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40588489 or 40588490?\nAnswer: 40588489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*g + 21047 + 10273. Which is smaller: 782 or g?\nAnswer: 782","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81 - -81. Let m(a) be the third derivative of 0*a**4 + 0*a + 3*a**2 + u + 1\/200*a**6 - 1\/350*a**7 + 0*a**3 + 0*a**5. Factor m(f).\nAnswer: -3*f**3*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**2 - 16130*h - 13008845 = 0. Calculate h.\nAnswer: -1613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*d + 3*g, -3*d + 3 = -5*g + 4*g. What is the third derivative of -5*i**2 + 5 + d + 80*i**5 + 38*i**5 wrt i?\nAnswer: 7080*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -1360*w**2 + 17*w + 17. Let b(p) = -170*p**2 + 2*p + 2. Give 17*b(h) - 2*u(h).\nAnswer: -170*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*f = -15. Let l be -1*(f + 0 - 3). Solve -5*p - 2 + 22 = l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*g = 12. Solve -5*t = -g*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -13*j**2. Let s(f) = -4*f**2 + 3 - 3 + 2*f**2. Give s(y(c)).\nAnswer: -338*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**4 - 2 + 4 + 2 + (-51 - 4 - 66)*(-3*u**4 + 5*u**4 - u**4).\nAnswer: -119*u**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 90904\/12396*(12\/64)\/1?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104642926 a multiple of 553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.2, 44, 0.18, 6, -6?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5 = -0. Suppose 2*z = -x + 5. Differentiate 11*t**2 - 11*t**2 - z*t**3 + 2 wrt t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3*-2*3. Let u be (1 - 6)*70\/(-25). Is 9 a factor of -2*(u\/s - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/32 and 806\/117 - (-20)\/18 - 9771\/1200.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -24*j**2 + 21*j - 21. Let q(b) = b**2 - b + 1. Determine 63*q(w) + 3*z(w).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -413*c**2\/2 - 542*c - 474. Find the first derivative of k(g) wrt g.\nAnswer: -413","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1688, 3384, 5082, 6782, 8484, 10188?\n\"Answer: j**2 + 1693*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, z: 9, k: 1}. Give prob of picking 3 k and 1 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {n: 2, a: 11, z: 1, l: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/(-2) - 4\/8. Suppose 0 = -v*r - 13 + 53. Let n(o) = 2*o - 2 + 23*o**3 - 2*o**2 - r*o**3 - 14*o**3. Determine n(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 29 + 17 + 2680*k.\nAnswer: 2680*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(70\/(-15))*21*52\/11466.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -8. Let g = 37\/2 - 18. What is the third biggest value in -0.3, g, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -4 (b) 239 (c) 5\/3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 11*o. Let b be i(11). Let t be b*((-4)\/(-12) - 0). Find the second derivative of t*v**5 - v**5 - 21*v + 25*v wrt v.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 4*b = 8*i + 8, -5*i + 104 = -42*b - 74 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n + 10. What is the units digit of c(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25, 52, 97, 160?\n\"Answer: 9*o**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 7:38 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/100 and 64\/752865?\nAnswer: 15057300","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -1, 5, 10, 274.\nAnswer: -16, -1, 5, 10, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - -33. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -20. Let h be (-123)\/f - (-1 + -2). Suppose -2*z + 63 = 3*d, -2*d - h = -z + 5. What are the prime factors of z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*y + 52 + 53 = 38*y for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30500 divided by -6100?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 1028280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.03, -10.8, 7, -232, 0.5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f**2 + f**2 + 951 - 3*f - 996 - 5*f**2 to r + d*f**2 + a*f and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)\/c)**(-46)*c**(1\/5)\/c**(1\/4))\/((c**0*c)**(30\/11))**(-6\/13) assuming c is positive.\nAnswer: c**(266577\/2860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 15 = -5*n, -124*j + 120*j + 14 = -n for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-223 + 2374 - 780)*(4 - 1 - 2 - d).\nAnswer: -1371*d + 1371","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(1\/(-4)*-10). Let b = -7.3 - -7. Suppose -5*y = s - 0*s - 15, 0 = 3*s - 15. What is the third smallest value in b, h, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*y**3 + 23*y**3 - 7 + 3.\nAnswer: -49*y**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -8.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*f*p**3 - 2*f*p*t - 6*f*p - 11*f*t + 3*f - 230*p**4*t + 2*p**4 + 2*t wrt p?\nAnswer: 90*f*p - 2760*p**2*t + 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 81892?\nAnswer: 81887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0, 29 in ascending order.\nAnswer: 0, 8, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -161 - -117. Let i = 64 + o. Solve 4*j - i = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 10:27 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-22)))**(-6\/13)*((o\/(o*o\/(o**34*o))*o)\/o)\/o*o\/(o**30*o*o)*o assuming o is positive.\nAnswer: o**(-93\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.48 (b) -2 (c) -6 (d) 0 (e) 2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.455 - -0.635. Let q = 0.09 - r. Let v = 4.0000145 + q. What is v rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a645 (base 14) in base 2?\nAnswer: -1010010000010000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -25 - 459. Let v = k + 2055\/17. Let a = -2.717 + 2.217. Sort -0.1, v, a.\nAnswer: a, v, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + (-16 - (4 + 1)) + -15.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0297677m to millimeters.\nAnswer: 29.7677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(5\/2)*f))\/(f*f**(3\/4)))\/((f**10*f)\/f*f**(3\/10)) assuming f is positive.\nAnswer: f**(-311\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*l - 151 = -1615 - 216 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -30\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 290967 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 26*k**2 + k - 2. Suppose -4 = -g + 3*g. Let a be ((-4)\/(-20))\/(g\/(-10)). Let j be n(a). Solve -5*l = -10*l + j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (530\/154495)\/(7\/77)\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -8862*m**3. Let u(i) = -4432*i**3. Determine -3*o(t) + 5*u(t).\nAnswer: 4426*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f. Let m(i) = -2 - 2 - 12*i - 6*i - 4*i + 5. Let y(s) = -m(s) + 5*x(s). Give y(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -261*v**2 - 16697*v + 448. Determine g(-64).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbaayyffaymbya. What is prob of sequence fb?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 171\/36 - 2\/(-8). Suppose -v = -4*f + 5, -3*f = -n*v + 10 - 1. Solve 0 = -v*y - 4*d + 9, -7 + 1 = -2*y - 5*d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(-1\/6))*h**21)\/(h*h*h**(-1\/9)*h**(2\/7)) assuming h is positive.\nAnswer: h**(2351\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 j when two letters picked without replacement from xxmtjmmstmxmxomx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + 43 + (-4 + 39 - 99).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d + -3?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 13*w - 67. Let l(h) = -708*h + 1399. Let u be l(2). Calculate v(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, m: 1, n: 1, u: 1, h: 1}. What is prob of sequence mn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 15*c**2 + 13*c + 10. Let d be s(14). Let w(p) = -p**3 - 3*p**2 - 2*p - 3. Give w(d).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 7:38 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**5\/20 - y**4\/2 - 3*y**3\/2 + 7*y**2\/2 - 5*y. What is o(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 158575247?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3356*g = -1350*g + 122366 for g.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1173, -1145, -1117?\n\"Answer: 28*b - 1201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/7 (b) 2 (c) 2\/37 (d) 123.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q + 3. Let m(g) be the second derivative of g**3\/6 + g**2\/2 - 2*g. Suppose 6 = -3*c + 18. Let v be -4 + c - (-3)\/(-1). Determine v*m(z) + j(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 6330758513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (412 - 420) + (-10 - 5).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**7\/105 - 1421*m**6\/75 - 4269*m**5\/50 - 4271*m**4\/30 - 1424*m**3\/15 + 1352*m. Solve d(a) = 0 for a.\nAnswer: -1, 0, 1424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/5040 and -31\/80?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 877 divided by 172.\nAnswer: 877\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -0 - 176. Let c = 83 - y. List the prime factors of c.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5682)\/10 + (-6)\/(-30) - 2. Let s = 1170 + o. Suppose -y - s = -9*y. Calculate the greatest common divisor of 25 and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n. Let y be 82\/10 - 2\/10. Let z be ((-48)\/42)\/((-2)\/7). Let o(i) = -3*i - z*i + y*i. Determine u(o(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a centimeter in micrometers?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 10:36 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.893 - 0.007. Let j = -2.5 - f. Which is the nearest to 0? (a) j (b) 2 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/((o*o*o**(-12)*o)\/o))*o)**(-2\/21))**(-49) assuming o is positive.\nAnswer: o**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 - 123*w + 463. Determine g(57).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**40))\/(g*g*g**24*g) assuming g is positive.\nAnswer: g**(-67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-5))\/(i\/(i\/(i**(3\/2)\/i*i))*i))**(-24)\/((i\/(i**1*i))**11*i\/(i**(5\/7)\/i)*i*i**8) assuming i is positive.\nAnswer: i**(1097\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 851*t + 5 + 14 - 853*t. What is the remainder when 4\/(-1)*(-58)\/2 is divided by b(-10)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/119679?\nAnswer: 1\/119679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 15813*h**3 + h - 15774*h**3 + 31576*h**3.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1864 and 12?\nAnswer: 5592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + 9 + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 116 - -17?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 9:54 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 - v + 4. Let r(w) = 2*w**2 - 2*w + 3. Let l(p) = -3*f(p) + 4*r(p). Let a be l(-6). Let k = a - -8. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(612) + -2 - 5*sqrt(612)*-2.\nAnswer: -2 + 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 183 and 66063?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5029 - -91?\nAnswer: -4a48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 527975939 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 5)\/((-162)\/(-216))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 1\/((-7)\/28))*(21 + -21 + 31).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 211, 201, 179, 139, 75?\n\"Answer: -j**3 - 3*j + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 3. Is s*(-4 + 3)*1 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97012612 - -194202489. Let l = 12421213 - -124668664. Let k = l - g. Round k to the nearest one million.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.6 (b) -3 (c) -194 (d) 3\/4 (e) 2178\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3523, -28098, -94763, -224560, -438531?\nAnswer: -757718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1350, 1442, 1604, 1842, 2162?\nAnswer: 2570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -18*1) + (-3020 - -2970)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6434, -12870, -19306, -25742, -32178, -38614?\n\"Answer: -6436*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 221848236 and -2096.\nAnswer: 221846140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -8. Let j be ((-12)\/w)\/((-6)\/9). Let r(v) = 3*v + 4*v**2 - j*v - v. Let a(g) = -g. Calculate r(a(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 276 = -300 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -39689.19*3\nAnswer: -119067.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**4 - 4*h**4 + 3*h**4 + (4 - 1 - 1)*(h**4 + 3*h**4 - 2*h**4) + 23*h**4 + 15*h**4 + 13*h**4.\nAnswer: 57*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**0)\/w)**(2\/65)\/(w**(-4\/5)\/w**(-6)))\/((w**(1\/4))**(-3)\/(w**(1\/5)\/w**3)) assuming w is positive.\nAnswer: w**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 13*l + 8 = 3*c, 0 = -5*l + 2*c + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117\/780*4\/3.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1051, -1008, -965?\nAnswer: -922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 6, h: 2, l: 2, q: 3}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -15, 319, 5, 2.\nAnswer: -15, -5, 2, 5, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -472*d**7\/3 - 32*d**3\/3 - 20*d**2 - 8715*d. What is the second derivative of k(q) wrt q?\nAnswer: -132160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 17 = 42. List the prime factors of (d - -37) + 4\/2.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 3*l = -3, -4*g - 7*l = 4*l - 18 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8 - 9 + 99*k - 15*k**4 + 6*k**4 - 16*k**4 - 7*k**2 + 154*k wrt k.\nAnswer: -300*k**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*v = 24*v - 550. Solve 0 + v = 2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76708033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(4\/5)\/j)**(-42)*(j**(-2)\/j)**(-22\/5))**45 assuming j is positive.\nAnswer: j**(-2808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 817823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + -4)\/((-189)\/126). Let a = 4 - 5. Sort 1, l, a, -13 in descending order.\nAnswer: l, 1, a, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3112)\/(-13615))\/((-2)\/(-7)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**4\/12 + u**3 - 2*u**2 - 3*u. Let a be d(-7). Suppose a*k = k. Solve 0 = -2*w + p + 3, k = -w + 4*w + 3*p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m**3 + 5*m**3 - m**3)*(-63 + m + m + 67) in the form o*m + l*m**4 + i + k*m**3 + x*m**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.1704858 to one dp.\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 26 - -6 - (19 + -46 + 32)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 36813.0931 to the nearest one thousand.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + sqrt(162)*-1 + -1 - sqrt(162) - 1*(3*sqrt(162) + sqrt(162))) + 0)**2*-2.\nAnswer: -8102 - 180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 81992 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -18*l. Let v = -68 - -68. Suppose 0 = -d + 3*m + 8, 8 = d - v*m + 2*m. Let w(t) = -3*t + 0*t + d*t - 3*t. What is w(i(r))?\nAnswer: -36*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + sqrt(605) + sqrt(605))**2.\nAnswer: 176*sqrt(5) + 2436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1744*q**3 - 125*q + 1742*q**3 - 150*q - 3*q**2 as a + m*q**3 + i*q**2 + j*q and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 4*k + 111 = 3*x, 43*x - 19 - 220 = 47*x + 9*k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 4, f: 1, n: 4, k: 1, d: 2, m: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4286*k - 30114. Give o(-7).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 3162 - (10 - 9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7627868.\nAnswer: 2, 131, 14557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 288 and 32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 - 21. Suppose 4*z - 38 = f, -f - 2*f - 24 = -2*z. Calculate the remainder when o is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5\/(-18))\/(-5))\/(36773\/1323828)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37346019155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/12)\/((-5)\/(-4)). Put 0.2, 2\/3, d in descending order.\nAnswer: 2\/3, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3)*(0 + 2 - 1)*(-1 + 2 - 3)*((-17 + 17 + 30*n)*(-4 + 5 - 3) - 45*n - 70 - 45*n + 91*n).\nAnswer: 236*n + 280","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 630, 1, -34?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 (base 10) in base 9?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 14 in descending order.\nAnswer: 14, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 8*i**2 + 9*i + 2. Let c = -14 + 5. Let u be w(c). Suppose u*g - 60 = -2*g. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(3)*1 + sqrt(99) + sqrt(99) + sqrt(99)*-1 + sqrt(11))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 6*n**2 + 2*n + 7. Let m be d(-6). Let w be (6 + m)\/(7 - 3). Let k = 5 - 5. What is the third biggest value in w, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 39.3343 and 0.2.\nAnswer: 39.5343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s + 2*s - 3*s - 4*s - 12*s + 0*s - 4 + 4 + 2*s + (2*s + 0 + 0)*(4 - 3 - 3).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 6*p**2 + 14*p - 12. Let q be d(5). Suppose 89*l - 91*l = 4*z - 24, q = 4*l + 5*z. Sort -36, -5, 0, l in ascending order.\nAnswer: -36, -5, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5265528, 2, -2\/17 in ascending order.\nAnswer: -2\/17, 2, 5265528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**4 + 3276*b**3 + 907356*b**2 + 7102368*b + 14100672 = 0.\nAnswer: -542, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-8)*(-140)\/5. Let n(j) = 5*j + 16. Let g be n(s). Suppose -8*h + g = -437. Is 25 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvq when three letters picked without replacement from bvhbbqqbvvh.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, v: 1, r: 3, d: 1}. Give prob of picking 2 v and 1 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and -8104514.\nAnswer: 4862708.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2. Suppose 7*i = 4*i - 12, n = s + i + 10. Is -7 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31472579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 996*14\/84*(7\/(-49))\/(4\/(-14))\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/3*-1*(-38)\/(-19)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4382 = -m, -m - 2062 = -4*n + 1443. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14104 and 1379268?\nAnswer: 113099976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10302287 = -138*w - 10296629 for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 13*c**3 - 9*c**2 - 10*c - 11. Let w(o) = 6*o**3 - 4*o**2 - 5*o - 6. What is 4*h(d) - 9*w(d)?\nAnswer: -2*d**3 + 5*d + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517 not equal to 1518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -209 + 236*s - 61 + 255 as x + j*s and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 39. Let w be 4\/(-6)*p\/2. Suppose w*x = -2*n + 132, 0 = -0*x + 3*x + 3*n - 99. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30097 + -29261. Calculate the highest common factor of c and 2318.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 687378001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8874350 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqcqcqccceccc.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 5:39 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 825*g - 5. Let d(h) = -3*h. Determine f(d(q)).\nAnswer: -2475*q - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -253*m + 4. Let v be f(-2). Suppose 10*g = 7*g + v. Let r = -90 + g. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 26*o + 73. Determine x(-30).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/4 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41217007?\nAnswer: 13, 347, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/315 and -83\/567.\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*d = 42. Let p be (6\/9)\/2 - (-2)\/d. Solve 0 = -p*y - 2*y + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 127 and 157418.\nAnswer: 157545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -4*h**3\/3 - 16*h + 3. Let z(p) = p. Let t(k) = q(k) + 16*z(k). Suppose t(j) = 0. What is j?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 i, and 2 w when four letters picked without replacement from {i: 2, l: 3, v: 8, w: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 23\/161*(-273)\/(-104)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + -1 + 1)**2 - ((sqrt(147) + 1)**2 + 5).\nAnswer: -78 - 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 3*v + 8*v - 5*v. Let c(l) = -6*l**2 + l**2 - l**2. What is x(c(i))?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/14 - (-13)\/(-119))*(-360)\/((-454680)\/(-421))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (405\/1710)\/(42\/133).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454 = -4*v - 14. Let k = 56 - v. Let n = k - -82. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -16 (b) -9\/23 (c) 19 (d) -0.1 (e) -0.87\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 617615013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -59 divided by -48151\nAnswer: 59\/48151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*l + 634 = 0, -2*w - l + 490 - 79 = 0. What is the lowest common multiple of w and 5?\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/j**(-3\/4)*(j\/j**(-3\/7))\/j*j)**14 assuming j is positive.\nAnswer: j**(145\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126.39 + -126.79. Which is the biggest value? (a) k (b) -89 (c) -1\/5 (d) -1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 9*z - 21 = 0. Let b(x) = -x**3 + 8*x**2 - 6*x - 5. Let c be b(z). Solve -4 = 3*m + c*f, 5*f = -2*m - 3 + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 85270479436878?\nAnswer: 85270479436877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/47 + 51\/94. Let u = 80046 + -80046.22. What is the nearest to c in 1\/8, u, 1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8150 and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -3*d + 1\/6*d**3 - 1\/12*d**4 + d**2 + 0. Find w such that n(w) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6978?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 153384400*o**3 + 420613*o**2 - 23*o - 1.\nAnswer: 920306400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 - -47. Let k be (z - 0)*(-213)\/(-3). Let r = 202 - k. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence euc when three letters picked without replacement from cvcavcvevvua.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3031d8 (base 15) to base 2.\nAnswer: 1000101110110000100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1411265 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 39 + (-19 + 4 + 24 - 15)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2333415 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 1018*u**2 - u - 2043*u**2 + 1027*u**2. Let k(w) = -62*w. What is k(t(z))?\nAnswer: -124*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d**(-1\/8)))\/d**(1\/11)*(d*d*d**(6\/5)*d)\/d**9 assuming d is positive.\nAnswer: d**(-2537\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9213.834 millennia in years?\nAnswer: 9213834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -23 + 9 + -2 - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -87*j**4 + 2*j**3 + 678*j + 477477?\nAnswer: -348*j**3 + 6*j**2 + 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*v**3 - 4420*d*v**2 + 13*d*v + d - 2*v**3 + 165*v**2 - 35909*v wrt v?\nAnswer: 12*d*v - 8840*d - 12*v + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 881 > -4502\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i - 5. Let x = -307 + 304. Let g(m) = -m**2 + m + 4. Give x*v(q) - 4*g(q).\nAnswer: 4*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 326, 133, -60, -253, -446?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1551 and 55?\nAnswer: 7755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186, 349, 512, 681, 862, 1061, 1284?\nAnswer: 1537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7911037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 11*i**2 + 8*i + 9. Suppose 0 = 3*w - 9*y + 4*y - 50, -y - 1 = 0. Let b(p) = -22 - 5*p + 3 - 5*p**2 + w + p. Determine -9*b(q) - 4*f(q).\nAnswer: q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -66191277.\nAnswer: -66191280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, o: 1, w: 3, y: 1, s: 4, k: 3}. Give prob of sequence ysoy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1709, -2, 2609 in ascending order.\nAnswer: -2, 3, 1709, 2609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14462 is divided by 475.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 2*s - 56. Give u(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 3647.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88512 to the power of 1\/2, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4746*m + 2052*m**2 - 433*m**2 + 4746*m.\nAnswer: 1619*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 18 = -p. Let z be (-18)\/4*6\/p. Let k(h) = -1333*h**2 + 3*h + 6. Let r be k(z). What is r rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/90 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*u = -162, 18*i + 352 = 20*i - 3*u. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -17, 3, 158, 0.3, -4\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -26031 - y**2 + 52063 - 26032. Let w(k) be the third derivative of -11*k**5\/60 - k**2. Determine o(w(f)).\nAnswer: -121*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -13 - (20 - 28)*1. Let r(p) = -59*p + 5. Let g(d) = -58*d + 6. What is x*g(u) + 6*r(u)?\nAnswer: -64*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3139.0617 rounded to zero decimal places?\nAnswer: -3139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0167273439 rounded to five dps?\nAnswer: -0.01673","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -204 (b) 1 (c) 1\/2 (d) -0.5 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7310390 is divided by 2436694?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/160830 and -59\/96498.\nAnswer: 482490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40973184 is divided by 2588?\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461*x - 10120 = -967*x for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1044 - -1045.1. What is the smallest value in 3\/4, -3\/5, w?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 1 - ((3 - -7) + -14)) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*o - 6 = 0, 3*o - 6 = -5*z - o. Suppose d = 2 - 0. Suppose 4*s + d*n = z*n + 1024, 3*s + n - 760 = 0. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*c - 940 = 0, -c - 278 = -2*u + 97. Let s = 192 - u. Solve s*j + 5 = -3*k - 7, -6 = 3*k + 3*j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004803 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*t + 426*t**2 + 57*t - 8694*t**2 to the form w + q*t**2 + h*t and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-527)\/(-124) - 1\/(3 + 1). Solve -7*s - 12 = -a*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + s + 31 = -6*l, -s - 42 - 10 = -7*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5))**(-1\/5)\/((t**(-9)*t)\/(t\/(t\/(t**(2\/13)\/t)))) assuming t is positive.\nAnswer: t**(106\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 4:11 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3497596197.1 + -0.366\nAnswer: 3497596196.734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 73931134787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 5\/4 (b) 4\/11 (c) -55 (d) 3\/26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/4 of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*z - w, 1 = -5*z + 4*z - 2*w. Let r be (-3)\/z + 1 - -107. Calculate the highest common divisor of 15 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 + y + y**3 + (30*y - 35 + 35)*(4*y**2 + 0*y**2 - 3*y**2) in the form l*y**3 + o*y + i + d*y**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w**4 - 2 - w**3 + 0*w**3 + 2*w + 0*w**4 - w**4 - 2*w**2 to the form c*w + s*w**4 + f + p*w**2 + i*w**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(1 + 3 - (-9)\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -5. Suppose 3 + 1 = 2*f. Suppose f = -2*x - 4. Sort r, 5, x.\nAnswer: x, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 4:45 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3000)*-2 + sqrt(30))*-5)\/((1*sqrt(360))\/sqrt(9)))**2.\nAnswer: 27075\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1831\/775 + -72\/31. What is the smallest value in i, 1\/5, 2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 11 - 2 = 0. Suppose 0*u = -3*z + 4*u + 85, 4*u = -r*z + 101. Suppose y + 1 = 0, 4*y + z = 2*a + y. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**4\/4 - 2*p**3\/3 - p**2 - p - 41. Let h be x(3). Solve -5*g = h*c + 3, -4*g = 3*c - 0 + 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (10830\/(-7))\/(-3) - (-48)\/168 is divided by 126?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5.26 (b) -0.009 (c) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4 - 3*l**2 - 2*l**3 + 0*l**3 - 2*l + 1. Let t(b) = b**2 - 8*b - 25. Let j be t(9). Let r be (12 - 6)*(j\/(-6) - 3). Give z(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 4:49 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n - 1. Determine w(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2\/3, 2\/13, -2\/17, -880.\nAnswer: -880, -9, -2\/3, -2\/17, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/24 and 41\/140.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2292 = 4*l - 4*x, -2*x + 3*x - 2312 = -4*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(128)\/sqrt(4) - sqrt(32)))\/(sqrt(2) - sqrt(352)\/sqrt(11)))\/(sqrt(24)\/(sqrt(108) + 1*sqrt(108) + sqrt(108))*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 0 - (-2 - 18). Let j = 1381 - 1379. What is the third derivative of 19*i**2 - 11*i**3 - 39*i**j + d*i**2 wrt i?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2006 - 0?\nAnswer: 2006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 5*w - 18. Let a(t) = -t**2 - 2*t + 14. Let x(g) = 3*a(g) + 2*r(g). Give x(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2783, -2794, -2805, -2816?\nAnswer: -2827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10*3*2\/(-12). Let y be (-154)\/(-35) + -9 - o. Which is the nearest to -14? (a) 5 (b) -3 (c) y (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**2 - 2*q + 2*q**2 + 722*q**3 - 139*q**3 + 2*q - 2 as o*q + i*q**3 + a*q**2 + h and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17679, 17847, 18319, 19251, 20799, 23119, 26367, 30699?\nAnswer: 36271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 337376 and 832.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 10225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*m - 5*i, -5*i - 23 = -0*m - 2*m. Put -13, 2, m, -2 in decreasing order.\nAnswer: 2, m, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -132 - -2069. Differentiate -j*f**2 + 103 + 2*f**3 - 1976*f**2 + 3860*f**2 with respect to f.\nAnswer: 6*f**2 - 106*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4, 3*a + 3*l = a + 11. Let p be ((-7)\/(-2))\/(2\/a). Suppose p*q + 2 = 4*q + 5*f, 0 = 4*q + 5*f - 9. Do 2 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**4\/5 - 6*j**3\/5 + 21*j**2\/5 + 106*j\/5 - 24 = 0 for j.\nAnswer: -6, -5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 108 - 94, 4*j - 3*p - 63 = 0. Solve -12*m + 4*a + 30 = -7*m, -5*a - j = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 205*f**3 + 11684*f**2 - 361*f - 17308. Calculate m(-57).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.21 - 12.99. Let w = 14.2000585 + n. What is w rounded to six decimal places?\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -191324564 minus 3.8?\nAnswer: -191324567.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/45 - ((-26)\/108 - 0). Is w at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 - 93137 - 273*a - 4*a**2 + 93140 in the form z*a**2 + q*a + o and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.621 to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = -353 + 17. Let x be -1*9*28\/s - 2. Solve x*v + 10 = 9*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.71 - 0.29. Let v = -192.52 - -203. Let a = q + v. Round a to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 60 = -5*c, 4*c = -3*u - 207 + 206 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*f + 0*f - 61*f.\nAnswer: -142*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 8) to base 10\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u**2 + 13*u**2 + 8*u**2.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -2607, 5, 3 in ascending order.\nAnswer: -2607, -5, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avk when three letters picked without replacement from ayvyayvvvakkvvvvkvyy.\nAnswer: 9\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 0.08 (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39782678 + 3130868 = -130*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12119, -12\/11, -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vy when two letters picked without replacement from bbyobvo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -27*d + 66. Determine u(9).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 8)*6\/21. Put 5, 1, s in decreasing order.\nAnswer: 5, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crmmwcc. What is prob of sequence wm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1675 (base 9) to base 14.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 0.1, 1901271.\nAnswer: -15, 0.1, 1901271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(272)*1 - (2*(sqrt(272) + 2) + sqrt(272)))**2 + 4.\nAnswer: 64*sqrt(17) + 1108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttvvtt. What is prob of picking 1 v and 1 t?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (4 - 6) - -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-200))\/(22\/(-275))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*w + 4*y, 3*w + 3*y + 301 - 307 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -21. Let o(t) = 15*t - z*t - 7*t. Let w(m) = -6*m**2. Determine o(w(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -116.90749 + -0.09251. Which is the third smallest value? (a) v (b) -4\/7 (c) -5 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-19 + 40) - (12 + 3)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2193*s + 22583 = -140*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32359 + 32391. Solve -73*t = -26*t - b*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from ppevvppep?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.036 * -11.9.\nAnswer: -0.4284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 8\/3)\/(-2). Let q = -1.88 + 0.88. Let v = -3 + 8. Which is the closest to q? (a) i (b) 0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*t - 64 = 232*t. Let h = 15 + -6. Which is smaller: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 368149*x - 15462252. Determine v(42).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0.31 (c) 219 (d) 25 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 2*n**2 - 3*n + 1. Let s(w) = -4*w**3 + 15*w**2 - 6*w + 2. What is -s(r) + 2*v(r)?\nAnswer: 6*r**3 - 19*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -41*v - 4 + 1 + 40*v - 4. Let k be g(-18). Let i = -5 + 3. Which is bigger: k or i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 10*i**3 - 14*i**2 + 12*i + 2. Let o be h(5). Suppose -2*l + 1836 + o = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19778783561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 14 = -4. Let y(z) = 2 - 2 + 44*z**g - 34*z**2. Let i(r) = r**2 + 3. Let h(q) = q**2 + 4. Let c(a) = -3*h(a) + 4*i(a). Give y(c(o)).\nAnswer: 10*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-399 + -4 + -5)*127500\/(-9). Round a to the nearest one hundred thousand.\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4604513 is divided by 2302255?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 f when two letters picked without replacement from lgkfvgvsfvksklk.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(4*q**2 - 4*q**2 + 2*q**2)*(0 - q + 0)*(-2 + 2 - 6*q**2).\nAnswer: 24*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -850232569 minus 6.8595?\nAnswer: -850232575.8595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 3*i - 10. Let o be m(-7). Suppose o = 3*b + p, 0 = -5*b + 4*p - 46 + 129. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddpddytpydytdytddd. Give prob of sequence pdp.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 12*s + 15. Let m be n(13). Is 48 a factor of 384*(m + 10\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzgzggzgzgxx. What is prob of picking 4 z?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1406 - 783. Suppose n + 585 = a. What is the least common multiple of 34 and n?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 718722994 to the nearest integer?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 1. Let h(o) = 8*o**2 - 5*o + 2. Let j be ((-4 - -10)\/(-6))\/(-1). Let l(z) = j*h(z) - 6*n(z). Find the second derivative of l(p) wrt p.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*u - 4*u - 6*u)*(-5*u - 11*u - u) - 4*u**2 - u**2 + 4*u**2 + (0*u + 4*u - 3*u)*(5*u + 0*u - 2*u) as b + h*u + r*u**2 and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 125 = 5*g - b, -2*g + 4*b = 50. Let c = -59 + g. Calculate the smallest common multiple of (-60)\/(-14) - (-4)\/c*6 and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6837 - -68441\/10. Find the common denominator of v and -26\/9649.\nAnswer: 96490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 14 = 2*k, 0 = 4*k - 3193*j + 3188*j - 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 7*w**2 - 5*w - 6. Let m be h(6). Suppose f - 2 = m, 0 = -3*l - 3*f - 7 + 37. What is the least common multiple of 12 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95422756.\nAnswer: 2, 11, 13, 166823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 + 37*q - 41*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -81*b + 83*b + 8. Suppose 5*c - 275 = -l, c - 92 = -c - 4*l. Let f = c + -281\/5. Sort 0, f, -0.4, b in ascending order.\nAnswer: b, -0.4, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606 - 606 = 113*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4 = 0, -m - 2*m + 388 = -2*t. Suppose 3 = a - 4*g, -g - 52 = -4*a - 5*g. Let q = 23 - a. Calculate the greatest common factor of q and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1572924 divided by -4\nAnswer: 393231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12346 + 23849. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - 4*u + 6*u)*(-9 - 11 + 6) + u - u + u.\nAnswer: 29*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10511316 is divided by 2627757.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7.56169 times -6\nAnswer: -45.37014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 14*k**2 - 18*k - 7. Let o be t(-12). Let x = -235\/3 - o. Let m = 0.2 - 0. Which is bigger: m or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 74630*p**3 + 3*p**2 + 150892*p**3 - 74968*p**3 - p**2 in the form b*p**3 + k + z*p + x*p**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 1274640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 76968552 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 385895381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*r - 6. Find the first derivative of y**r - 2 + 10 + 6*y**2 + y**2 wrt y.\nAnswer: 16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - 1.3. Let t = -43.6 - -44. What is the third smallest value in o, -1\/4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s + 4 = 0. Suppose 0 = -p - s + 6. Suppose 30 = p*f - 20. Solve -4*r - 2*z + f = 0, 5*r + 6 - 22 = z for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, j: 5, u: 3, d: 3, m: 6}. What is prob of sequence uj?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.78442ug to nanograms.\nAnswer: 99784.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 112569318 to the power of 1\/4, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3733811 - 66189 = 0. Round w to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64214 (base 7) to base 13\nAnswer: 7301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40393 + 41365 = -27*y for y.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1325 times -2609\nAnswer: -3456925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 403505 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 1130*l - 25993. What is z(23)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3 = -2*q + 9, -v + 7 = 5*q. Suppose v*y - 8 = 28. Calculate the greatest common factor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 8*x + 2. Let m = -463 + 457. What is h(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -788 or -4838?\nAnswer: -788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**2 + 9*j + 3. Let f be z(4). Let b = f + 12. Suppose -5*k + 0 = g + 10, -b*g - 10 = 5*k. Solve g = -0*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26730\/(-774) + 35)*111\/168 + 6\/(-28)?\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 21. Suppose x - 4 - 1 = -2*k, -4*k + 3*x + 5 = 0. Suppose 0*t - 6 = k*t. Which is the third biggest value? (a) 3 (b) p (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331 + 115 = 27*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 + -39 + -14 + -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n - 18. What is v(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17733 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 16 = -2*d, -6 = -w - 7*d + 11. Determine f, given that 1\/3*f**w - 2\/3*f + 0 + 1\/3*f**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 752 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 22 = -q, 12 = 3*h - 3*q + 4*q. Suppose 882 + 63 = h*j. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587 is divided by 57?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 442\/2873 + 14\/78. What is the third biggest value in 1\/7, -229, p?\nAnswer: -229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -34 - (-5 - (-25 + 10 + -13 + 14))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.011 - -91.011. Let d = -10729.414 - -10820.5. Let g = i - d. What is g rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - 1)*(-16)\/6. Suppose -5*y - 2*q = -394, -3*y - 4*q + 139 + 89 = 0. Calculate the greatest common divisor of a and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 4*d - 428*d**2 - 16 + 430*d**2)*(-3*d**2 + 4*d**2 - 4*d**2).\nAnswer: -6*d**4 + 15*d**3 + 48*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = w - 5. Suppose -w*j = -2*j - 3*q - 2341, 0 = -3*j + 3*q + 6999. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 90*a**3 + 52 with respect to a.\nAnswer: 270*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1894815765.\nAnswer: 3, 5, 42107017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2 + sqrt(1900) - sqrt(19)) + (sqrt(133) - -1*sqrt(133))\/sqrt(7))**2.\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/64 of a tonne?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -27*l**3 - 89*l**2 + 94*l - 1. Determine p(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2240786?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/(((z*z\/z**1)\/z*z*z)\/z))\/z)*z*z*z**(2\/31))**(2\/57)\/((z**(-1\/3))**(8\/17)*(z**(-1)\/z)**(42\/5)) assuming z is positive.\nAnswer: z**(2568256\/150195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19775 is divided by 96.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**3\/6 + 10*b. Let q(p) = 8*p**2 - 3*p - 3. Let h(n) = 11*n**2 - 2*n - 2. Let w(z) = -3*h(z) + 2*q(z). Give m(w(i)).\nAnswer: 17*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11790 (b) -2\/265 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 328933181 a multiple of 1955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 291972 and 3356?\nAnswer: 291972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, n: 2, x: 5}. Give prob of sequence xxx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 8*o**2 + 5. Let c be w(-8). Solve -4 = c*l + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-64)\/40)\/(-4))\/((-46)\/10)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*1*-6)\/(sqrt(144)*-1 - sqrt(144)).\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101111101010 + -10000110001?\nAnswer: 1010011110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 118*m - 122*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90234 is divided by 785.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -164 and 6.5.\nAnswer: -1066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -18*o + 437. What is the remainder when 110 is divided by o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57930.\nAnswer: 2, 3, 5, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312 divided by 6.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281535?\nAnswer: 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -8 (c) 0 (d) -0.06 (e) 2\/21 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 25 = -60. Let j = 11 - c. Suppose 0*z = j*z. Solve -5*f + z*f - 15 = 0, -l + 2*f = -6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*6*(-6*1*sqrt(209) - sqrt(209)))\/(1*6*(2*sqrt(121))\/sqrt(11)))**2.\nAnswer: 8379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/2, 0.4, -5, 2\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1097822 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94420*f - 47566*f - 47142*f.\nAnswer: -288*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a + 5. Let q(l) = 5*l - 8. Let w = -13 - -21. Let g(i) = w*m(i) + 5*q(i). Let t(o) = -2*o - 2 + 2. Give g(t(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3230 - 32329\/10. Find the common denominator of 2\/10 + 159\/330 and r.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (10 - 559\/(-6))*24.\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14, -5 in descending order.\nAnswer: -3, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*o + 70 = 0, -2*k = o + o - 100. Let u = k + -30. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 11595235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2*sqrt(4752)*-2)\/((sqrt(3) - (sqrt(3) + sqrt(3)*-2*2)) + sqrt(30)\/(sqrt(30)\/sqrt(3))))**2.\nAnswer: -96*sqrt(11) + 25969\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18674 - 18671.8254. Let x = -0.0354 - p. Let j = 0.21 + x. Which is the second smallest value? (a) j (b) 2 (c) -0.3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 5. Let f be i(1). What is the remainder when 34 is divided by (0 - 6\/8)\/(f\/(-32))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 11*f**2 - 7*f - 6. Let s(z) = -z**3 + 5*z**2 - z - 8. Let g be s(4). Suppose 0 = -g*b - 9 - 11. Is n(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q. Let w(k) = -2*k**2 - 11 + 3*k + 0*k**2 + 4 + 8. Suppose -3*v + 6 + 3 = 0. What is v*z(i) + w(i)?\nAnswer: -2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4 = -18. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i**2 + 20*i - 10 + 7*i - 2*i**3 - 27*i. What is the hundreds digit of a(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1476376365 to the power of 1\/2, to the nearest integer?\nAnswer: 38424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 417745.6 minus -0.0196?\nAnswer: 417745.6196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 + -4.1. Let v = 0.017 + 13.983. Let z = v + -13.9. Put z, 0.3, x in increasing order.\nAnswer: x, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -3773?\nAnswer: -7546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 171 - 138. Which is smaller: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28880.88 - 28881. Which is the nearest to k? (a) -4 (b) -2\/15 (c) 2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 4*r + 2. Let l be g(2). Let c be (4 + -4)\/((-2)\/l). Solve -5*t + 5*k = 0, -3*t + 2*k + 4 = -c*k for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -27. Suppose 5*y - 35 = 2*o + t*o, -16 = 2*o - 4*y. Let d = 12 + o. Solve d*z + 3*z = 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 20*w**2 - 8*w - 20. Determine f(-2).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2245 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -11*r - 106. Let o be w(-10). Solve p = 4*b - 18, 0 = -2*b + o*p + 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*z - 56112 = 26*z + 26984. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/3, -136, -4 in decreasing order.\nAnswer: -10\/3, -4, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6848491 is divided by 4584?\nAnswer: 4579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73516.\nAnswer: 2, 18379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/35)\/(s\/s**(4\/11)) assuming s is positive.\nAnswer: s**(-234\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o. Suppose -3*t - 2*t = 0. Let h(s) be the second derivative of t*s**2 + s + 0 - 1\/3*s**3. What is h(f(l))?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1002444 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bee62 + -9?\nAnswer: -bee6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 45*r**2 - 27*r - 635. Give d(46).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n = 5*w - 2, w + 3*n - 7 = 0. Let m be (-2)\/8 + (-9)\/(-4). List the prime factors of -2*1\/m*w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -2*i**2 + 1\/6*i**3 + 1\/12*i**4 + 0 + 4*i. Determine k(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -365287, -365036, -364785, -364534?\nAnswer: -364283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5 + o**2 + 2 - 7. Let c(y) be the first derivative of y**6\/120 + y**3\/3 + 1. Let a(d) be the third derivative of c(d). Determine x(a(i)).\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 divided by -10?\nAnswer: -99\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, x: 5, f: 1, n: 1, a: 3}. What is prob of sequence xx?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.044 * -1.1878.\nAnswer: 0.0522632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 123741 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 941, 1882, 2825, 3770, 4717, 5666?\n\"Answer: u**2 + 938*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 290271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -5, 2.5, 0.08?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -2\/5, -0.011, -1\/6, -5, 20?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 1742 + 4142. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00091619 rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -488.2 + 540. Let p = j - 51.79499. Round p to four decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 12 - 68 = 0. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**2 - 109*l + 29. Let o be n(27). Let h be (15\/(-12))\/((-1)\/(-12)). Which is the fourth smallest value? (a) h (b) -1\/4 (c) -3 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, -0.1, 0.2, 1\/28?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3) - 2\/(-6). Suppose -l = -m + 12. What is the greatest common divisor of 104 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3766.8644 rounded to zero decimal places?\nAnswer: -3767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*t = -0*a - 41, -133 = -5*a + t. Let q be (9\/(-45) + a\/30)*3. Find the second derivative of 3*k - 18*k**3 - 47*k**2 + 8*k + 47*k**q wrt k.\nAnswer: -108*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512763611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*1*(144\/(-27))\/8. What is the nearest to l in -0.2, 1\/8, 33?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 11 = -19. Let l(j) = -10 + 16 - 5*j + j**o - 24. What are the prime factors of l(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 6*l - l. Let h = 30 - 16. Let k = h + -10. Solve l*y + 4 = -3*u - 3, k*u = -16 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 302, 277, 252, 227?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 21, 0.5, 2674, -1\/4, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u**3 - 2*u**2 - u - 4. Let r(p) = p**3 - p**2 - 1. Let j(y) = 3*r(y) + w(y). What is j(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-3))\/((-962125)\/23091).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.43 + 1.53. Let s be 2 - 3 - 2\/4. Sort s, v, 3 in increasing order.\nAnswer: s, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214083.7 less than 203141?\nAnswer: -10942.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10219 = 3*a - 5*n + 3*n, -a = 3*n - 3410. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, g: 3, i: 8}. Give prob of sequence ggi.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3231 and 33477.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 - 17. Suppose u = 3*s - 5*h - 51, 0 = -s - 5*h + 24. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (505 - 534) + -4 + 6?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 - 22 = -3*x. Find the common denominator of -5\/54 and (-10)\/x*(-697)\/85.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**2*h)**(-49)*(h\/((h\/(h*h**(-2\/5)*h)*h)\/h)*h*h)**(-12) assuming h is positive.\nAnswer: h**(-1196\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 432 (base 9) to base 6\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4338 + -4526.3. What is z rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p**2 + 7461*p - 97171. Give o(13).\nAnswer: 836","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -22. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 120 = -9*s. Let r be s*-5*4\/(-60). Suppose 0 = -40*q + 381 + 19. Which is the nearest to 1? (a) 1\/4 (b) r (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h**1\/h)))\/(h**(9\/8)\/h*h*h))\/(((h*h**(-19))\/h)\/h**(-1\/10)))**35 assuming h is positive.\nAnswer: h**(4697\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 6*q**2 + 4*q + 1. Let f be g(-5). Solve -2*l = f + 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 339 and 83055?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10\/29 - 109\/232. Are -1 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104 - (48 + (-20 - 3) - 24)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5203049 micrograms in grams?\nAnswer: 0.0000005203049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2845765 is divided by 1422877?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 = -14*o - 150 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.3, 2, 1, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 398375026 to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4991 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**2. Let r(j) = -2*j + 112292. Give r(y(f)).\nAnswer: 8*f**2 + 112292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*s + 50409 = -35358. Calculate the remainder when s is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 3*a + 26, -3*l = -6*l - 4*a - 23 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 605617683 or 605617684?\nAnswer: 605617684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence snnn when four letters picked without replacement from {s: 5, n: 14}.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 t when three letters picked without replacement from tteegttetee?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5207821)\/(-92)*(4 + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**(1\/4)\/w)*(w*w\/((w*w\/(((w*(w**(-2\/3)*w*w)\/w*w)\/w*w)\/w))\/w)*w)\/w*w*w\/(w*w**(-2\/7)\/w*w*w)*w\/(w\/(w*w\/(w*w\/w**0)))*w assuming w is positive.\nAnswer: w**(451\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**4\/2 + 231*u**3 + 22443*u**2\/2 - 10825024*u - 21693078 = 0.\nAnswer: -198, -2, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (13294\/5865)\/((-3)\/45)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -319901 and -2.\nAnswer: -319903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -21*n**4\/4 - 11*n**3\/3 + n**2\/2 - 11*n - 562. Let r(d) = 4*d**3 + 2*d**2 + 2. Give -2*j(i) - 11*r(i).\nAnswer: -2*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 > -379628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 32068*o**3 + 26*o**2. Let i(m) = 3563*m**3 + 3*m**2. Calculate 52*i(f) - 6*p(f).\nAnswer: -7132*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 644.4777 rounded to zero decimal places?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.170236 to one dp.\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 1. Suppose 3*b - 15 = -4*n, 0 = 2*b - n - 23 + 24. Let a(r) = -20*r**3 + 3*r**2 - 3. Determine b*a(w) - 3*d(w).\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 428005 + -299824. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2617, 10621, 23969, 42667, 66721, 96137?\nAnswer: 130921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-12)*(-88)\/22?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 31, 0.3, -5\/7, 48.3, -0.3 in ascending order.\nAnswer: -5\/7, -0.3, 0, 0.3, 31, 48.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2597 - 1407. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -375 + 896. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537408.\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44725953.\nAnswer: 3, 59, 71, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 12*v**2 + v + 1. Let s be t(-1). What is the greatest common factor of s and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/828 and 65\/12.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 13 + 7 - 4 - 16. Let v(l) = -88*l + 2. What is v(p(k))?\nAnswer: -88*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1, 0.08, 1\/4 in ascending order.\nAnswer: -0.1, 0.08, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*v + 81*v - 6424. Calculate the highest common factor of v and 1606.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (30\/(-2))\/(90\/16 - 6). Suppose -130*w = -135*w - q. Let n be w\/(-6)*-1*(-33)\/11. What is the fourth smallest value in n, -2\/15, 4\/9, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 1 - 5 = -v, 3*x = 3*v - 12. Let c = -0.1 + 0.3. Let g = 103 + -103. What is the closest to g in c, x, 2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 - 2*i**3 - i + 175747*i**4 + 5 + 0*i**3 - 175755*i**4 + 0*i**3 + i**3 as w + a*i**4 + q*i**3 + m*i + v*i**2 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (3 + 3966\/45 + -4). Let k = b + 87. Put k, -13, 0 in decreasing order.\nAnswer: 0, k, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -578 + 633. Suppose d - 1512 = -c*d. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*w - 35*w - 99 = 50*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + 5. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17024940 by 5674980.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -195376*l + 195375*l - 2 - 65*l**3 + 4*l**4 + 6*l**4 - l**4 to z*l**3 + d*l**4 + s*l + g + p*l**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 8.321?\nAnswer: -24.963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002079091575 to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -21. Suppose -2*n + w*h = -h + 4, 2*n + h = 4. Let d be (-1)\/(-2) + 1\/10. Is n <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 8 = 0, -o - 4*x + 13 = -7. Suppose -16 = -o*w - 0. Suppose 3*t - 197 = w*h - 2*h, -67 = -t + 2*h. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000728337848 to six decimal places.\nAnswer: 0.000728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**2 - 49*g - 13. Let i be w(8). Let o be -2 + (-7)\/(i\/(-24)). Let z(p) = p**3 + 10*p**2 + 8. What is z(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 152 = -4*b, -95*b + 3*j + 70 = -93*b - 14 for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/5 - 3893*i - 38934\/5.\nAnswer: (i - 19467)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 11*k**2 - 19*k + 21. Let f be x(15). Let z = 1312 - f. Suppose -9*q + 125 = -z. List the prime factors of q.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*d + 5*d**3 + 15*d)*(3 - 2 + 4) to f*d**3 + q*d + z + t*d**2 and give f.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34.1 in 0.4, -60, -0.03, 3?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h - 7 = 23*h - 2*a, h - 3*a - 7 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c**5 - 848*c**4 + 7304*c**3 + 848*c**2 - 7308*c = 0.\nAnswer: -1, 0, 1, 9, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 33*n + 34. Let y = -132 + 100. Let c be d(y). Solve -3*p - c = -2*f, f - 4*f = 4*p - 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 6.4. Let m = 15 - -145. Let r = m - 160.5. Which is the closest to 1\/3? (a) r (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.29392 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2881058 is divided by 1146?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 1 - (-25 - -3). What is the units digit of 1\/(2\/g) - 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2. Let g be (-1)\/(-1*(-3)\/129). Let d be 6\/(-10) + g\/(-55). Which is smaller: d or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - (-2 + 0\/(-3)). Suppose -d*c + 12*c = 25. Factor -5*j**2 - 3*j**c + 14*j**2 - 15*j**2 + 6*j**4 + 3*j.\nAnswer: -3*j*(j - 1)**3*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 1 = -2*t, -2*t + 2*y = t + 11. Let m be t\/5 + (-18)\/(-30). Solve 0*z + 5*z - 10 = m for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4666028 + -37272129\/8. Let m = 7002 - k. What is the common denominator of 133\/18 and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 951*a + 356638. Determine v(-375).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 102453 a multiple of 213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a - 1. Let t be u(-1). Is -3\/2 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = 8*l - 17520. What are the prime factors of l?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2388 divided by 2388.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 39*x + 4081. Determine w(-104).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -1\/3*c**3 + 0 + 9*c - 9\/2*c**2. Calculate the remainder when 15 is divided by b(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (0 + 0 + 4 - 5) + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 3 - (-2 - -4)*-4. Let a be 3\/(-9) - 10\/6. Put y, a, -1, 2 in decreasing order.\nAnswer: y, 2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 5*g**2 - 6*g + 8. Let r be i(-6). Let f(c) = c + 59 - 36 - 31. Let t be f(18). Solve 4*l = -q - r, 0 - t = 5*l + 3*q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -16 (b) 1\/6 (c) 3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*sqrt(117)*2)**2.\nAnswer: -12*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.1. Let k(v) = -v**2 + 29*v - 206. Let s be k(14). What is the second biggest value in -1\/5, 1, u, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven quarters of a minute?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -30) + (-43 - 2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (54 + 0)\/(-1)*(-74)\/333. Solve 0 = -334*r + 332*r - l for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15*(-1)\/(-6))\/2*4\/(-10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15512)\/1680 + (-4)\/15.\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -1. Let w(f) = -f**2 + 4*f + 3. Let z be w(s). Suppose -4*y + 2*l = -z*y - 9, y = -3*l - 6. Solve 5*n = u + 23, 4*u - 3*n + 4 = -y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74)\/(-56) + 9\/((-504)\/32)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 3*n - 17, -51*n = 3*g - 55*n - 26 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26004528637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2636 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 - 0.29. Let m = -57.8 + 58. Let o = 0.6 - -3.4. Which is the closest to m? (a) o (b) w (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161775 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47 or 77?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -240, -263, -192, -27, 232, 585?\n\"Answer: 47*z**2 - 164*z - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*n + 163 = -9, -4*n = 0. Is 18 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 248*z + 236*z - 139*z - 690. Solve 2*u = y + 7, -6*y + z*u = -9*y + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -154 - -133. Let x be 36\/14 + 8*h\/(-392). Let z(s) = -s**2 - 5*s - 1. Let n be z(-4). Calculate the greatest common factor of x and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.026804? (a) 294 (b) -0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 3. Suppose -3*s + 3*g - 3 = -0*g, 2*g = 3*s. Suppose 4*p - y = 125, 88 = p + s*p + 5*y. Let w(i) = 60 + i - 30 - p. Calculate n(l) - 4*w(l).\nAnswer: -3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-18)*(-6)\/(-567)*(-6)\/2.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 28 - -15) + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*b - 38*b + 37*b - 200*b - 19008 = 0 for b.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(68)*-1 + -3 + (-3 + sqrt(68) + -2)*3)**2.\nAnswer: -432*sqrt(17) + 2772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = v - 14, 0 = -v + 4*v - 5*t + 9. What is the fifth smallest value in v, -2\/11, 0, 9, 0.1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -265*t**6\/6 + 372*t**2 - 745*t - 6. What is the derivative of g(w) wrt w?\nAnswer: -5300*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**5 + 327*b**4 + 1654*b**3 + 1996*b**2 - 1320*b - 2656 = 0.\nAnswer: -2, 1, 332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 11:22 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -546 or -1205?\nAnswer: -1205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 442, 85, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -7 + -7 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**20)\/t**(-23))\/((t*t**(-15))\/((t**(-3\/4)\/t)\/t)) assuming t is positive.\nAnswer: t**(61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 1\/15*s**6 - 1\/21*s**7 + 0 + 1\/2*s**5 - 8\/3*s**3 - 1\/6*s**4 - s - 4*s**2. Factor k(q).\nAnswer: -2*(q - 2)**2*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44845724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 - (-3 - -22 - (279 + -264))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2057822 greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 516 - 516.00124. Let s = g - 33.00876. Round s to zero decimal places.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**2\/2 - 5. Let o(c) = -30*c - 1. Calculate z(o(p)).\nAnswer: 30*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7334119 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-4*i**4 - 2*i**4 + 4*i**4).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 461, 460, 459, 458, 457, 456?\n\"Answer: -y + 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**20\/t)*t**(-2\/15))\/((t**(2\/27)\/t*t)\/(t*t**(-19))) assuming t is positive.\nAnswer: t**(-4888\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/8971 (b) 1\/8 (c) -4 (d) 3 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w**2 + 16*w - 13. Calculate o(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -862 = -5*t - 172. Let f be t\/8 - (-21)\/28. Find the common denominator of (-86)\/f - 9\/3 and -74\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-24))\/(18\/(-108))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 12:46 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6*m = -6. Differentiate -2 - m + 5 - 4*s**4 wrt s.\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2998148, 11992610, 26983380, 47970458, 74953844, 107933538, 146909540?\n\"Answer: 2998154*c**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8110.8 + -8111. Is 173\/5 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3849 + 3868. What is the greatest common factor of l and 722?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l**3 - 3*l**2 + 11. Let r(m) = -5*m**3 - 2*m**2 + 12. What is 2*n(x) - 3*r(x)?\nAnswer: 3*x**3 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37403?\nAnswer: 113, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-6 + 4 - -5) + -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 68?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**3\/7 - 100*w**2\/7 + 1301*w\/7 - 2210\/7 = 0.\nAnswer: 2, 13, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7635236?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2232.10678234 + -0.014?\nAnswer: -2232.12078234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -874, -342, 234, 860, 1542?\nAnswer: 2286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g**2 + 23*g**2 - 134 + 139.\nAnswer: g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, -12, 1\/4, -0.5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1177886311 or 1177886310?\nAnswer: 1177886311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + (sqrt(72) - (sqrt(72) + sqrt(72) + 1)) + 0)**2 - (sqrt(540)\/sqrt(6))\/(-2*sqrt(605) - sqrt(605))*-2.\nAnswer: -2*sqrt(2)\/11 + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -427bc (base 13) to base 7\nAnswer: -1006533","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007616 rounded to 5 dps?\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, s: 9, r: 5, e: 2, m: 1}. What is prob of picking 1 e, 1 r, and 1 m?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 41585 + 41599 - 83182 - 1430*t**2 as a*t**2 + n*t + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/185408 and -44\/7?\nAnswer: 1297856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-199 + 199 + 76*c)*(0*c**4 - 2*c**4 + 0*c**4) + 13*c**5 + 10*c**5 - 8*c**5.\nAnswer: -137*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 6:53 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66242 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 105 + -94. Suppose b - o - 71 = -5*o, 3*o = b - 43. What is the greatest common divisor of b and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123103.\nAnswer: 257, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwbw when four letters picked without replacement from {b: 2, w: 4, e: 7}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 251113835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531484 is divided by 132288?\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 + 28*a - 29. Let s be b(1). Let r(q) be the third derivative of 0*q**3 + 1\/8*q**4 + 0*q + 0 + 16*q**s. Let g(c) = 9*c. Calculate r(g(p)).\nAnswer: 27*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3645236732.\nAnswer: 2, 1367, 666649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -2 - 2 - (-48 - (-17 + -18)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 150243787481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9820299 to the nearest integer?\nAnswer: 3134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g**5 + 115870*g**4 + 326334*g**3 - 179038*g**2 - 326356*g + 63168 = 0. What is g?\nAnswer: -5264, -3, -1, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -9.3. What is the third biggest value in -3, i, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 195*t**2 - 21*t - 2. Let y(x) = 196*x**2 - 32*x - 3. Determine -3*v(b) + 2*y(b).\nAnswer: -193*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 268.14627 to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17076, -17134, -17192, -17250?\nAnswer: -17308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21 - 17a6?\nAnswer: -1785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 3 - (2 - -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5946338.\nAnswer: 2, 1171, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -6*m + 2*m + 22, 3*z = -2*m + 33. Suppose 0*j - 5522 = -z*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/2))**38\/(y\/((y**(-1\/2)*y)\/y*y)*y\/(y\/y**(-1\/9))) assuming y is positive.\nAnswer: y**(1019\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -552 - 3*l**3 + 3*l**3 + l**4 + l**3 + 551 - l. Let x(g) = -3*g**5 + 15*g**4 - 27*g**3 + 3*g + 3. Let t(a) = 3*p(a) + x(a). Let t(d) = 0. What is d?\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -169, -314, -447, -574, -701, -834, -979?\n\"Answer: -w**3 + 12*w**2 - 174*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*p - 222 = 0, s - 181 - 31 = 3*p. Which is greater: s or 217?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oibfhohcfohchb. What is prob of picking 1 f and 1 b?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 0.4 (c) 70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 - -99. Let j = s - 46.9. Round j to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2412260242 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-1) - -1)\/((-3512)\/(-52680))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8, 49, 144, 277?\n\"Answer: 19*p**2 - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*s + 28, 7*s + 44 = 2*s + u. Let m = s - -42. Suppose 3*x - 38 = -0*g - g, 0 = 3*x + 5*g - m. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4461 + 9611 - 4040)*(h**3 - h**3 - 2*h**5).\nAnswer: -2220*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*b + 210 = 0. Let p = -31 + b. Let y be (-233602)\/(-8) + (p - 0)\/4. What is y rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723903141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.2 + 0.8. Let o = -127.288 - -127. Let i = 0.112 - o. Sort 2, -4, i, f.\nAnswer: -4, i, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -76, -63, -36, 11, 84, 189?\n\"Answer: j**3 + j**2 + 3*j - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218542 = -4149*q + 21799 - 122730 for q.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 8*s - 3. Let k be j(2). Let c be k\/3 - (-6)\/(-18). Suppose -c*h + 57 = 9. Calculate the remainder when 46 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7414 - -0.4414. Let h be (-10)\/(-45) + 64\/(-126). What is the biggest value in a, -1\/4, h, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1284, -12, -2, 0, 2 in descending order.\nAnswer: 2, 0, -2, -12, -1284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12720 - -12905. Calculate the remainder when 6473 is divided by o.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*k - 445 = -528*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -24. Let j = b - -24. What is the remainder when j is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -2, -1123, -72 in descending order.\nAnswer: 3, 0, -2, -72, -1123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 2 + 4 - 192*l + 4 as h*l + u and give h.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4795 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*v + 3074 - 3074)*(11*v**4 + 10 - 10 + (2*v - 2 + 2)*(-2*v - 2*v**3 + 2*v) + v**4 + 0*v**4 + 0*v**4 - 3*v**4 + 3*v**4 + v**4).\nAnswer: -252*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 31*p**2 + 22*p + 677. Let o(a) = -29*a**2 - 26*a - 678. Let g(i) = -6*c(i) - 5*o(i). What is the derivative of g(x) wrt x?\nAnswer: -82*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007393184 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10753\/53765 + 49\/5 + -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34405 + -7?\nAnswer: 34387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 k when two letters picked without replacement from {k: 3, r: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -242 (base 9) to base 2\nAnswer: -11001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136 and 4.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 476*v - 5227. Let f be n(11). Solve f*g + 162 = 117 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 0)\/(-5 - 135\/(-25)). Suppose -4*i = -3*n - 1263, -4*n + 25 = -9*n. Suppose -i = u - h*u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239409 to the power of 1\/2, to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1528245782 to the power of 1\/5, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*v = 0, -2*w + 5*v - 15 = -0*v. Suppose 4*o = -4*p - o + 41, 9*o - 33 = 3*p. Is 3 a factor of ((1 + 1)\/p)\/(w\/70)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153251?\nAnswer: 7, 21893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.00001 - 0. What is y rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81080302?\nAnswer: 2, 281, 144271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -535\/144 or -4?\nAnswer: -535\/144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 87\/17 - (-10 - 860\/(-85)). Solve h*s + 2*s = -21 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - (-10)\/(-6))\/(68\/(-6630)). Let k be (-10)\/p + (-1944)\/39. What is k rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 u when four letters picked without replacement from auaaaaaua.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 659*g**3*h**3*s - 11654*g**3*s - 170*g**2*h**3*s - 474*g**2*h + 2*g**2*s - h**3 - 7*h*s wrt g?\nAnswer: 3954*h**3*s - 69924*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 428928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*d = -49, -d = -s + d - 6. What is the units digit of (0 - -1)*2*(-8)\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -167171.\nAnswer: -835855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - -4. Suppose -39 = -3*j + 3*b, 2*j + 5*b + f = 3*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5202\/(-9024)*22\/9. Let a = -4\/141 + r. What is the common denominator of 4 + 4 + 506\/(-36) and a?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*z + 30, 7*s = 8*s + 4*z - 6. What is the remainder when 122 is divided by ((-4)\/(-6))\/(s - 875\/147)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 73, 10, 0, -7, -2 in decreasing order.\nAnswer: 73, 10, 0, -2, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37863726?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1448354, -2896676, -4344998, -5793320?\nAnswer: -7241642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 442 + -437. Suppose 16 + 0 = 5*l - x, 0 = 5*x + d. Solve 4*r + 2 = 2*r, -c + l = -4*r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 20*w + 7. What is the units digit of t(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 3*s + 2*s. Let a be (-214)\/s - 2\/7. Let i be -1*(-1 - (-27)\/a). Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 1024409*k - 955322*k - 1 - 1)*(k - 4*k + 2*k).\nAnswer: -69087*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**3 - 2*j**2 + j - 1. Let u be q(-3). Let w = u + 47. Does 7 divide (-92)\/(-3)*7\/(w\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278 + 985 + 222*a**2 + 983 - 2246.\nAnswer: 222*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 643 - 145. Let j be d\/18 - (-4)\/(-6). Let c = j + 38. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*k + 450, f - 2*k = 3*k + 63. Suppose n = -0*n - 4*c + f, -n + 76 = c. List the prime factors of (-399)\/(-27) - (-16)\/n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 36425610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - t - 211, 3*q = q - 2*t + 442. Suppose -12*r + 14*r = q. Suppose 5*a - r - 72 = 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 1275759 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 10. Suppose q*m + 0*m = -40. Let n = m - -33. What is the remainder when 37 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1dd2 (base 14) to base 7\nAnswer: 21652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 7 = 6*d + 10*z, -d + 3*z = 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23003244 and 603.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.1 + 4. Suppose 4*x + 29*q - 25*q + 64 = 0, -5*x - 72 = -3*q. Let n be x\/27*(-72)\/(-60). Which is the closest to n? (a) -14 (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2539471, -2539532, -2539595, -2539660?\n\"Answer: -u**2 - 58*u - 2539412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + d**2)*(0 + 0 - 1) + (d - 4*d + d)*(-4 - d + 4).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d. Let g(x) = 49*x**2 + 95*x. Give g(s(c)).\nAnswer: 196*c**2 + 190*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1353 + -566. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) -23 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1313 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 1:45 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/8 - 275\/616. Sort 0.5, v, -1\/7 in descending order.\nAnswer: 0.5, -1\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwb when three letters picked without replacement from bbbbwbwwww?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z\/(z\/z**(-3))))\/z)\/(z**(-1\/7)\/z)*z**(-5\/4)*z*z*z*z*z*z**(-1\/13)*z*z*z*z)**(1\/5))**(-4\/3) assuming z is positive.\nAnswer: z**(-4301\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 411, 827, 1243, 1659, 2075, 2491?\n\"Answer: 416*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (17 - -9) - (-1 - 0 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -155, -491, -1051, -1835, -2843, -4075?\n\"Answer: -112*b**2 - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14967.07 less than 2?\nAnswer: 14969.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -49, -35, -5, 47?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3679, -7033, -10055, -12751, -15127, -17189, -18943?\n\"Answer: -k**3 + 172*k**2 - 3863*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/39? (a) 2 (b) 53 (c) -2 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(1872))*6)**2.\nAnswer: -2592*sqrt(13) + 67716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 897.5549.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 111604674?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 718737796 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3941334872 rounded to the nearest 100000?\nAnswer: 3941300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35513487, 71026986, 106540485, 142053984?\nAnswer: 177567483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.26932 years in decades?\nAnswer: 6.326932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -933.\nAnswer: -17\/933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 809 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 12*n**2 - 1. Let p be o(-12). What is the third biggest value in 0.1, -13, p?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m + 55 = 3*c, 3*c + 18 = 33 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -275604 divided by -45934.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 72\/168*(-10)\/(-15)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*6\/2)\/((-64)\/(-272))?\nAnswer: -51\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -2. Let d = 4.04 + 4.96. Let q = d + h. Which is the second biggest value? (a) -0.4 (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -14 (c) 116193\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -6*u - 23 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -7.5. Let d = -4.94 + -0.06. Let c = 5 + d. What is the third biggest value in b, -5\/4, c?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2644*-18.\nAnswer: 47592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 96 = -23*n + 22*n, -4*n = 4*t - 304. What is the greatest common divisor of n and 3337?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w = 144. Which is bigger: w or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -82*z + 718. Let t be y(-7). Round t to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8 - 460\/60) + -2 + (-5)\/(-3). What is the biggest value in 152, 2\/5, h?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14680653*v + 6339556 with respect to v.\nAnswer: -14680653","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x*(x*x*x**(-9)*x)\/x*x)\/x)\/x)\/(x**(-5\/9)*x*x*x))**32)**(1\/21) assuming x is positive.\nAnswer: x**(-2720\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6144b (base 12) to base 2.\nAnswer: -11110111100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5817, 5816, 5817, 5820?\nAnswer: 5825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -7, -2, -4, 24 in decreasing order.\nAnswer: 24, 2, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 - 7*r**3 + 4*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(1\/4)*m))**(-11)\/(m**(-1\/3)*m)**38)**(-18) assuming m is positive.\nAnswer: m**(813\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15191756 bigger than 15191756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 390 - 389.5. Let x(g) = g**3 - 4*g**2 + g - 3. Let l be x(4). Let d be 32\/14 + -2 - 0. Put l, d, f in descending order.\nAnswer: l, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1387 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3) + 1 - (-15 + -23 + 6 + -4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 102011213 (base 4) to base 2\nAnswer: 10010000101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p - 2 - 3*p + p**2 + (-3 + 3 - p)*(3*p - 7*p + 2*p) - 2*p**2 - 3*p**2 + 4*p**2.\nAnswer: 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1353 + 1359. Let p(n) be the third derivative of 1\/70*n**7 - 1\/4*n**4 + 1\/20*n**z + 11*n**2 + 0*n**5 + 0*n + 0 - 1\/2*n**3. Factor p(m).\nAnswer: 3*(m - 1)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 841.3 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-1*2\/12). Let r be ((-8)\/f)\/((-2)\/(-24)). Calculate the highest common factor of r and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3679352 and 7149.\nAnswer: 2383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-1 + 0)*7. Let f(z) = 2*z + 1. Let s(j) = -4*j - 3. Let r(i) = -2*f(i) - 3*s(i). Let d(m) = -7*m - 6. Calculate y*d(l) + 6*r(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -138*p - 952. Calculate i(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -118, -0.2, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmgmg. What is prob of picking 3 m and 1 g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vpkvvpvvkpvv. Give prob of sequence pvk.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-122)\/610*40\/116?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 1. Let z(i) = -11*i**2 + 12*i + 8. Let g(a) = -11*a**2 + 11*a + 7. Let c(h) = 5*g(h) - 4*z(h). Let w(k) = -c(k) - 4*r(k). Is w(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2975)\/(-1666))\/((-30)\/12)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254 = 2*x + 106. Let n = -62 - x. List the prime factors of n.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -670.764 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of k**5\/40 + k**4\/6 + k**3\/3 + 9*k**2\/2 - 26. Let s(t) be the third derivative of u(t). Let l = -14 - -20. What is s(l)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1110583149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.248 + -5.752. Which is the closest to 0.1? (a) n (b) 0.2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 676*p + 2709. Calculate h(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2451, 3251, 4577, 6429, 8807?\n\"Answer: 263*y**2 + 11*y + 2177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111101101 + -1000101001111011?\nAnswer: -1000111001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-8))\/(2\/8). Suppose -3*k + 69 = -2*m + l*m, -k = 4*m - 101. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1025 + 1029. What is the greatest common factor of 30 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + sqrt(5) + sqrt(20)*2).\nAnswer: -5*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1) + 5 + -3 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000281109 rounded to six dps?\nAnswer: -0.000281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**3 + 23*y**2 + 336*y. Let j(s) = 2*s**3 - s**2 - s. Let l(b) = 3*j(b) + t(b). Find the second derivative of l(q) wrt q.\nAnswer: 18*q + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 10 = -0*m. Let r(q) be the second derivative of q**3\/6 - 2*q**2 + 383*q. Calculate r(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22\/45, -2, -0.3, 0.56, -1\/7 in ascending order.\nAnswer: -2, -0.3, -1\/7, 22\/45, 0.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z**2 + 73*z - 217*z + 72*z - 65 + 65 + 70*z.\nAnswer: 13*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154699?\nAnswer: 154699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 27347 in descending order.\nAnswer: 27347, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18f101b5 - -3?\nAnswer: -18f101b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -i + 20*z - 15*z, -i = 4*z - 40. Suppose 12*o - 5*o - i = 0. Solve 0 = -0*d - o*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 - 67. Let g be (-3 - 0)*(-14)\/6. What is the highest common factor of g and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -15*(-7)\/21 + (-6)\/(-3). Let u(f) = -8*f**2 + 17*f + 6. Let x(y) = 11*y**2 - 26*y - 9. Let q(b) = w*u(b) + 5*x(b). Calculate q(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m**2 - 9*m + 9*m**2 + 2*m**2)*(-m**2 + 0*m**2 + 3*m**2).\nAnswer: 4*m**4 - 18*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258798*h**3 + 808146*h**3 - 105858*h**3.\nAnswer: 961086*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 14 = -8*o. Let l be (-2)\/(-5) + 8\/5. Suppose 2*j = 3*j - l. Calculate the remainder when j is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584.835 months in millennia?\nAnswer: 0.04873625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4745098.\nAnswer: 2, 19, 193, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 + 2*l**3 + 0*l**3 + (-l**3 + 7 - 7)*(-178 + 209 + 318) as r + q*l**3 + b*l**2 + w*l and give q.\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-722)\/(-20577))\/((-60)\/19).\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/83 or 17564?\nAnswer: 17564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {r: 16, w: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -0.03 (c) 3\/5 (d) -9 (e) -70 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**6))\/r*r*r**5)\/(r**(2\/9))**(-6\/5) assuming r is positive.\nAnswer: r**(-11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*d - 14 = -1, 2*d = -4*t. Let g(n) be the third derivative of -n**4\/24 + 3*n**3\/2 - 4*n**2. Let z be g(4). Put -2, t, z in ascending order.\nAnswer: -2, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 433 + -370. Let f be 1*(-3 - 10*-1). Calculate the greatest common divisor of j and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 - 18*w + 43. Determine q(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(102)*-1)\/sqrt(6)*-3*3.\nAnswer: -54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -674, -699, -724, -749?\n\"Answer: -25*c - 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a - 1. Let p be b(-1). Let c(h) be the second derivative of -h**3\/3 - 3*h**2\/2 + 18*h. List the prime factors of c(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooyy when four letters picked without replacement from {l: 3, o: 4, e: 3, y: 4}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - v**2 + 1. Let m(p) = -8*p**3 - 5*p**2 + 5. Determine -m(w) + 4*o(w).\nAnswer: 4*w**3 + w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4555270, 4555140, 4554930, 4554646, 4554294?\n\"Answer: h**3 - 46*h**2 + h + 4555314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1699 + 1617 = -11*r + 3074 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1413 divided by -46887\nAnswer: 471\/15629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 3)*((2*f**3 - 4 + 4)*(-1 - 1 + 4) + 4*f**3 + 3*f**3 - 3*f**3) - 5*f**3 - f**3 + 0*f**3 to the form t*f**2 + p*f**3 + a*f + i and give p.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1082 - 1077. What is the nearest to 1 in -0.093, -0.5, x?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 274644 + -25?\nAnswer: 274617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -748, -1696, -2616, -3508, -4372?\nAnswer: -5208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*2*3\/9. Suppose 5*m - 9 = t*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1440 (base 6) to base 15\nAnswer: 1a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -330 + -2?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fooo when four letters picked without replacement from fwuwooffwwoufwwwf?\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*f - 1390 = -445 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**3 - 35*x**2 + 30*x = 0. Calculate x.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 49447?\nAnswer: 296682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 6:31 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 17*n - 10. Does 14 divide g(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/20 - 47\/140. Which is the third biggest value? (a) 10 (b) -2.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 115 + -55. Does 20 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4996190 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 194 = -5*h + 4, 0 = 3*h + l + 130. Let c = 10 - h. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 - -72. Let s = z - 23.6. Suppose -4*l + 2*v = -3*v + 20, 3*l - 5*v + 20 = 0. Which is the nearest to l? (a) s (b) -4 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28*1*(-7)\/140?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*c + 2*d, -5*c - 4*d = -2*d - 5. Let o be (-1)\/(4\/(500\/c)). Let f = o - -336. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276283.\nAnswer: 7, 29, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -92 + 74. Let k = s + 23. What is the second derivative of -3*c - 2*c - 9*c - 20*c**5 + c**k wrt c?\nAnswer: -380*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8*z - 6. Let x = 15 + -22. Let l(a) = -9*a + 7. Give x*k(u) - 6*l(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, a: 3}. Give prob of picking 2 d and 2 a.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20*(-2 + -1) + 0. Let c = 79 + -169. Let d = o - c. What is the remainder when d is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4359052 is divided by 15680?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(4\/13))\/c**(-5)*(c**3\/c)**18)**(3\/4))**19 assuming c is positive.\nAnswer: c**(15675\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/3)\/(2\/60). Suppose 2*c = -4*c + 120. Calculate the greatest common factor of c and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -35*p - 40 + 17*p**2 - 6*p + 15*p**2 - 35*p**2. What is the least common multiple of i(-11) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22962817 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) 0 (c) -1 (d) 27167 (e) -1\/7 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g + 2. Let i(s) = 10*s + 10. Let b = 9 - -10. Let f = -8 + b. Let c(y) = y - 5. Let a be c(3). Give a*i(q) + f*d(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*y + 45*y = -40. Let o(n) be the second derivative of -5\/3*n**3 + 9\/2*n**2 + 1\/12*n**4 + 0 + y*n. What is o(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 7*l**2 + 3*l - 14. Let i be m(7). Solve 0 = i*a - 13 + 48 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3*p**2 + 17479206*g**3*p + 12785946*p**2 wrt p.\nAnswer: 2*g**3 + 25571892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 193, 210, 235, 268, 309?\n\"Answer: 4*c**2 + 5*c + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2139, -3, 1, -1 in decreasing order.\nAnswer: 2139, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o**3 + 2*o**2 - o. Let r(u) = 5*u**3 + 8*u**2 - 6*u - 5. Let m be r(-3). Let c be (-110)\/m + ((-48)\/15 - -3). Give d(c).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -1 - 408\/(-102). Suppose 12 = k*b, -26 = -5*t - 4*b + 31. Let h(y) = 4*y**3 + 3*y**3 + 11*y + 0*y. Let p(j) = -3*j**3 - 5*j. Give t*p(x) + 4*h(x).\nAnswer: x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 117, 71, 25, -21, -67?\n\"Answer: -46*k + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 53)*(-10)\/15. Let w be 640\/144 + 16\/o. What is the closest to w in -3, 4, -7\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 13, 52, -4, -685 in ascending order.\nAnswer: -685, -4, 4, 13, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -3*b - 133, -5*b + 578 = -2*c + c + 516 for c.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -812 + 811.6. Let g = -3.6 - -4. Let m = 0.6 + -0.1. Sort q, g, m in decreasing order.\nAnswer: m, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1)**21*k**5\/(k*(k*k**(-5))\/k*k))\/((((k*k**(2\/7)*k)\/k)\/k)**(5\/17))**(-4\/7) assuming k is positive.\nAnswer: k**(24197\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/((d\/(d\/(d**(-4\/23)*d)))\/d)*d))\/d**6*(d**8*d*d)\/(((d\/d**37)\/d)\/d) assuming d is positive.\nAnswer: d**(939\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/22 and -3*465\/24*(-1)\/10.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-192)*34*14\/(-21). Let l = h - -641\/3528. Which is bigger: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -189a8 + 19?\nAnswer: -1898f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*u - 2*p + 5, 0 = 3*p. Let j(k) = 2*k**2 + 2*k**2 - k**u + 2*k**2. Let d(c) = 2*c**2. What is j(d(g))?\nAnswer: 20*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -264 or -247?\nAnswer: -247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1658 - 8289\/5. Which is the smallest value? (a) -4 (b) f (c) -2\/13 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4661\/(-177) - 125\/(-5)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13762 - -26805. Let q = 4796 + -11339. Let m = q + b. Round m to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 742369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21453.4273 - 3.4273. Let l = y + -21449.670007. Let a = -0.33 + l. Round a to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-2\/5)*u))**39\/((((u\/u**12*u*u)\/u)\/u*u)\/u*u*u**(-3)) assuming u is positive.\nAnswer: u**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, n: 4}. Give prob of sequence xxnn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 222761, 890698, 2003923, 3562436, 5566237, 8015326?\n\"Answer: 222644*x**2 + 5*x + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 11:05 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9*48\/(-3780) + (-4)\/10. Let b = -0.895 - -0.055. Let i = 0.04 + b. Sort 1, -0.4, i, y.\nAnswer: i, -0.4, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nlnlll.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-33) + (-18 - 448\/(-24))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + -1604?\nAnswer: -1564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 17*j - 6 = 0. Suppose 5*n = d + 5, n + 3*d = j*d - 5. Let h = 13 - 7. Solve n = -h*k + 3*k - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*f + 0 + (3*f - f - f)*(-1 + 3 - 3) + 3*f - 6*f + f + 7*f - 2*f - f)*(0*f**2 - f**2 - f**2).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + a - 2*a + 15, 36 = -5*k - 2*a. Which is smaller: -9 or k?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105 - 101. Solve 2*k - 4*j + 4 = 12, 2*j = 2*k - g for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 78768 - -3d?\nAnswer: 787a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3224 + 5821. Suppose -4*q = 3*u - 4871, 5514 + 969 = 4*u + 3*q. Let g = u - o. Round g to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186063 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -40 * 0.160822\nAnswer: -6.43288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20668 + -207321\/10. Let v = a - -70. Let w = 122621\/16 - 7667. Calculate the common denominator of w and v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, g: 2, z: 2, q: 5, n: 7}. What is prob of sequence gz?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + 11540 + 2*n**2 + 0*n - 65650.\nAnswer: 2*n**2 - n - 54110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1461426834?\nAnswer: 2, 3, 7, 34795877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w + 10. Let f be h(3). Let d be (-285)\/(-675) + 1\/f. Which is the third smallest value? (a) -1 (b) d (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1794774 is divided by 475?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -12*n**2 + 9*n - 10. Let g(o) = -2*o**2 - o - 4. Determine f(c) - 3*g(c).\nAnswer: -6*c**2 + 12*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6237\/(-7722)*(-4)\/(-7).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 1. Let t = 11 + -15. Let s be m(t). Find the second derivative of -g**s - g + g + 4*g wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -14. Suppose y*z + 18 = 13*z. What is the second derivative of -8*k**z + 4*k + 7*k - 14*k - 13*k wrt k?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7565419\/7 or 1080775?\nAnswer: 7565419\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jcb when three letters picked without replacement from bcujb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 1, 3\/8, 0.4, 63, -6?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s + 1. Suppose 2*x - 2 = 0, 5*x = -2*c + 3 - 4. Suppose 9*m + 15 = -21. Let b = m - c. Give l(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 3*y - 6. Let p = 28 + -30. Let t be q(p). Which is the closest to 2\/3? (a) 4 (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + w + 0)*(-2*w + 4*w - 3*w) + (2*w + 3*w - 3*w)*(1 - 2*w - 1) + 2*w**2 - 2*w**2 - 2*w**2 - 9*w**2 - 12*w**2 + 7*w**2.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 10*c**2 + 9*c + 8. What are the prime factors of r(-11)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 - -206536566.634.\nAnswer: 206536566.574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.104534752 to 3 dps.\nAnswer: 0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -1022401*m**3 - 5*m**2. Let d be g(-5). Suppose 8*c = -c + d. What is c rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 337.01 - 0.01. Let h = j - 336.9999674. What is h rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 12 = 2*f. Suppose -2 = -a + 2*w, -4*w = -5*a - 9*w + 70. What is the first derivative of -b**4 + f - b**4 - a wrt b?\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1676, 3352, 5034, 6722, 8416, 10116, 11822?\n\"Answer: 3*l**2 + 1667*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**4\/2 + 17*m**3\/2 + 33*m**2\/2 - 33*m\/2 - 7 = 0. Calculate m.\nAnswer: -2, -1\/3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 880527 = 5*m - 0*m, 5*m = 3*c - 660394. Suppose -n - c = -1430133. What is n rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42079?\nAnswer: 29, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 927236083?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44769 divided by 3.\nAnswer: 14923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r - 2. Let x(d) = 2290*d**2 + 5*d + 2386. Let i(t) = m(t) - x(t). What is the derivative of i(j) wrt j?\nAnswer: -4580*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 2. Which is the closest to -0.04? (a) -5 (b) -4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, f: 5, m: 1, l: 4, n: 1}. What is prob of picking 4 f?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6466353 is divided by 1616588?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 2*229\/(-2). Let p = z + -164. Let q = -7 + 13. What is the highest common divisor of q and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 1 - -2 - (-29 + 180 - 75)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*p**2 - 13*p**2 - 21*p**2 + 11*p + 3*p**2 - 11*p + (0*p - 2*p + 3*p)*(-2*p + 1 - 1) + p**2 - p + p to the form o + w*p**2 + q*p and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z**2 + 168*z - 47. Let s(y) = 3*y**2 - 83*y + 24. Let p(t) = 4*r(t) + 9*s(t). What is the smallest common multiple of p(28) and 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 23*h + 13055 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1597*o + 89*o + 1355*o - 300*o as z*o + u and give z.\nAnswer: 2741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 11528.53ml?\nAnswer: 11.52853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20859 and 97342.\nAnswer: 292026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3933 divided by 437.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, r: 8, y: 6}. Give prob of picking 1 r and 1 s.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 35?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = 12*i - o + 15, -5*i - 5*o = 45 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -51*n**3 + 15. Let d(a) be the second derivative of -13*a**5\/20 + 2*a**2 + 234*a + 2. What is -15*d(u) + 4*z(u)?\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 640494 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 times -18974585?\nAnswer: -531288380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -37.03 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2044*r + 688*r + 681*r + 679*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 277, 534, 791, 1048?\n\"Answer: 257*u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*l**5 - 2621*l**2 + 151857*l wrt l.\nAnswer: 300*l**3 - 5242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 4.8678480873?\nAnswer: 5.1678480873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -3*h, 0*h - 14 = -3*h + 2*h - 3*r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 307 and 216366539?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2309 - 2306. Let m(j) be the first derivative of -1\/3*j**u - 3*j + 3\/2*j**2 - 22. Calculate m(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -1 - -1) + 1 + 5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s + 9*s + 0*s. Let y(t) be the third derivative of -9*t**4\/4 + 4443*t**2. What is y(i(x))?\nAnswer: -162*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-14) - (-10)\/(-35). Suppose t = -0*p + p - 205. Suppose -3*s - h = -127, s = -4*s - 3*h + p. Is 22 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 6*p**2 + 6*p - 7. Let w(b) = -5*b + 4*b + 3*b - 4 + 1. Calculate the remainder when k(6) is divided by w(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 2*l + 1. Let y be t(1). Let x be (0 + 0)\/((-4)\/y). Let v be 5 + 1 + x + -2. Solve 0 = -a - a, -g = v*a + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -265454 + 265508.0237. Let n = -54 + z. What is n rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7174.995 nanometers in meters?\nAnswer: 0.000007174995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 148*p = -151*p + 23, 4*p + 6 = -2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 11936 to the nearest one hundred.\nAnswer: 11900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, r: 2, i: 3, a: 3, d: 1, p: 1}. Give prob of picking 2 a, 1 c, and 1 p.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58785 is divided by 19534?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2 + 23*f + 32. Let g be t(10). Is 118\/1829 - (-983254)\/g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(12\/5))\/(i*i**16))**(8\/13))**(-1\/5) assuming i is positive.\nAnswer: i**(544\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1936223 is divided by 52?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (sqrt(72) + 1*sqrt(72) + 2 + sqrt(72))**2) + 2 + -1.\nAnswer: -651 - 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11270, 11271, 11272?\nAnswer: 11273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 112110 (base 3) to base 12\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(5) - (sqrt(125) + -2*sqrt(125))) - -6*(0 + sqrt(700) - sqrt(700))**2.\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/((-2128)\/(-342))*7\/(-15). Determine o so that l*o**2 - 27\/5 - 24\/5*o = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -5*n**3\/3 - 230*n**2 + 94. Factor l(k).\nAnswer: -5*k*(k + 92)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**3 - 5*r**2 - 3*r + 2. Let s be n(-3). Find the common denominator of (-4)\/(-12) - s\/(-18) and 11\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8, -16, -56, -112, -184, -272, -376?\n\"Answer: -8*t**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 122 = 140 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/7)\/2 + 49 + (-4200)\/84.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 660*z - 9. Let y be u(5). Suppose -78*x + 75*x + y = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8810 times 1.5\nAnswer: -13215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 51, 111, 181, 261, 351, 451?\n\"Answer: 5*m**2 + 45*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 6093.93 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33850 + -33850.0070721. What is k rounded to four dps?\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -14*f + 10*f + 10, 5*t = 2*f - 50. What is the lowest common multiple of 22 and 4\/(-8)*t + 1 + 0?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(-19))**(3\/10) assuming r is positive.\nAnswer: r**(57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 3*w + 2 = -2*c + 16, 2*c + 272 = -5*w + 286 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*x + 246*x - 19*x + 5073 - 1069 = 0 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**2 + 12796640*z + 8187699764480 = 0.\nAnswer: -1279664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**9*s)\/s*s*s\/(s*s*s**(-12\/7))*s**(3\/10)\/s**9 assuming s is positive.\nAnswer: s**(141\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 7 (b) 1\/20 (c) -4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3086214 (base 9) to base 11\nAnswer: a28767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3186, -20873, -68884, -162381, -316526?\nAnswer: -546481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((z*z**(-6)\/z*z*z*z*z*z)\/z*z)\/z)\/z)\/z**(-2\/7))\/(z**(-2\/5)\/z*z\/(z\/z**2)))\/((z**(2\/3)*z*z)\/(z*z**(-3\/7)*z))**(1\/2) assuming z is positive.\nAnswer: z**(-811\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 8:05 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1169, 2354, 3545, 4748, 5969, 7214, 8489, 9800?\n\"Answer: i**3 - 3*i**2 + 1187*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11267224 equal to 11267222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35206?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-8)*q**(2\/11)*(q*q**(-1\/11))\/q**(3\/8) assuming q is positive.\nAnswer: q**(-553\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -2. Calculate the remainder when (j\/(-1))\/(-1) - -12 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -11. Let n = r + 7. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -51*x**2 - 4. Suppose -36*b - 70*b + 472 = 12*b. Let v(t) = -154*t**2 - 11. What is b*v(a) - 11*y(a)?\nAnswer: -55*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39937642?\nAnswer: 2, 71, 281251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2266*o = 136644 + 202464 - 96646 for o.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*x - 18 = -i, -5*x = 4*i - 65. What is the remainder when i is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvee when four letters picked without replacement from {v: 2, y: 2, e: 3, i: 2, h: 4, j: 3}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 860204560?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -247*p + 384 + 122*p + 86*p. What are the prime factors of b(-34)?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/9*(-10564395)\/50. Let v = l + -139558. Let w = v - 1296. What is the common denominator of w and 41?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1661 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = n + 33*f - 35*f, n = -f + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 2:05 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 6 = 8*v. Is 2\/903 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -47*o**2 + 2*o + 2. Let p be y(-2). Let q = p - -461. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2176)\/136 + (-575)\/(-35).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*a - 582 = 0, -a + 56 = -2*j + 449. Suppose 97 = 4*o + 25. Calculate the highest common factor of j and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v + 8. Let c be j(8). Let u = c - -25. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.4238.\nAnswer: -1.6952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -31.47208\nAnswer: 31.47208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 2*d + 5 - d - d - 2*d. Let w(m) = 2*m - 4. Let x be -5 + 6\/24*4. Determine x*b(c) - 5*w(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -713*m + 5228 - 15319 - 6633 = 9657 for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 - 162*v\/7 - 900\/7.\nAnswer: -2*(v + 6)*(v + 75)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 77 + 1 + (-1 - 3). Let q = -19 + m. Suppose 3*c - q = 2*i - 8, -38 = -2*c + 3*i. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*p - 1 = -2*p, 16 = -3*f - 5*p. Suppose -f*k + 2*l = 2, -l = -k - 3*l + 10. Suppose 3*b = -k*b. Solve b = n + 5*g + 20, -g = -2*n - 1 + 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 171, 333, 497, 663?\n\"Answer: w**2 + 159*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.78391 to one decimal place.\nAnswer: -18.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14582 + 14930. What is the remainder when 2086 is divided by c?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*c = 4*l - 148, 3*c - 5*l - 266 = 0. Suppose 4*o + 48 = -v, -5*v - 188 = 4*o + 116. Let y = v + c. What is the lowest common multiple of 30 and y?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48342951 to the power of 1\/2, to the nearest integer?\nAnswer: 6953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 250026? (a) -1 (b) -5 (c) -12\/11 (d) -6\/7 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9878, 0, 8 in decreasing order.\nAnswer: 8, 0, -9878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.8 - 9. Let r = 2 + j. Which is the closest to r? (a) 1\/2 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 j, and 1 k when three letters picked without replacement from yxjjzkp.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 39. Let y be g(0). Let u be -22 - (48\/(-30))\/(2\/(-5)). What is the remainder when 57 is divided by (-4)\/u - 579\/y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyyeeee. What is prob of sequence ee?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - 9 = -130. Suppose 2*n - 7 = f, -5*f + n - 3*n + 13 = 0. Which is the nearest to 2? (a) -1\/2 (b) f (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37.9 + 37.46. Sort -1, y, 5, 0.2 in decreasing order.\nAnswer: 5, 0.2, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**5\/3 + 38*r**4\/3 + 224*r**3\/3 + 376*r**2\/3 + 64*r = 0.\nAnswer: -2, -1, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-1) - 0 - 1. Let d = 0.07 + -0.37. Let m = -0.7 - d. What is the second smallest value in z, m, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417575?\nAnswer: 5, 16703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 18*t**2 - 5*t. Let b(w) = -143*w**2 + 39*w. Let y(u) = -5*b(u) - 39*x(u). Let f(l) = 2*l. Calculate y(f(v)).\nAnswer: 52*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wubw when four letters picked without replacement from wwubweewewbwwwbuw?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1593 is divided by 1578.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -2\/297 (c) 0.5 (d) 2\/9 (e) -1464\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**4 - 9*p**2 + 6*p**2 + 0*p**2 + 2*p**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 17, 1110, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -989*x - 344*x + 1333*x - 15*x**3.\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j**2 + j**2 + 3*j**2)*(-2*j**2 + 2 - 2).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.052, -0.4, -3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c - 19. Let g be y(-11). Suppose -5*l = -a - 15, 0*a + g*a = 5*l - 5. Solve 3*p - 14 + a = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38271 is divided by 69.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -238.6 - -217. Let l = -234.6 - z. Let h = -213.0000113 - l. What is h rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 36*s**3 - 7*s**2 + s - 3. Is r(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7316621 divided by -7927\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27\/7 or -16041?\nAnswer: -16041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 2*m + 2. Let f be a(-2). Let h(c) = c**2 + 21*c + 98. Let g be h(-11). Let t(d) = 6*d + 75. Let n be t(g). Solve -n*r + r - f = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -5*g - 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158173?\nAnswer: 61, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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 i(x) = -205*x - 2054. Give i(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92434, -92863, -93290, -93715, -94138, -94559?\nAnswer: -94978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1135, -2257, -3365, -4453, -5515, -6545, -7537, -8485?\n\"Answer: q**3 + q**2 - 1132*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -37777 divided by 37\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*t**3 + 114*t**2 - 41*t - 26 = 0. Calculate t.\nAnswer: -13, -1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 38?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12371, 24650, 36931, 49214, 61499, 73786, 86075?\n\"Answer: a**2 + 12276*a + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 19*k - 12. Does 9 divide d(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1188318 to the nearest integer?\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 442.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*y**5 + 0 + 1\/2*y**4 - 3\/2*y**3 + y - 1\/2*y**2.\nAnswer: y*(y - 1)**2*(y + 1)*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8650.649ml?\nAnswer: 8.650649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 4 (b) 44.72 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -140 + -45355533?\nAnswer: -45356003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.03927, -105 in decreasing order.\nAnswer: 5, -0.03927, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 384 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 153 - 56 = -2*n, -3*n + 2*u = 165. Let f = 35 + n. Let m = -11 - f. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1935303*n**3 + 2*n - 3040538 wrt n?\nAnswer: 5805909*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 126b61?\nAnswer: 126b65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 31*m - 15*m - 2*m. Let l(c) = 67*c. What is v(l(r))?\nAnswer: 938*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 + 5014*q - 711510. Calculate b(151).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 n when two letters picked without replacement from ncnnnnnn?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 1. Let m = 24 - t. Suppose -6 + 18 = m*r. Solve 0*v = r*v - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (3 - 4) + 6 + 0 - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -48*u + 38*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otwtlwrww. What is prob of sequence wr?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -1118.\nAnswer: -111.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + ((-5560)\/700 - -8)\/(1\/(-120))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f + 1930 = 1702 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/24 and -49\/10512.\nAnswer: 10512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 2*i - 31. Determine p(-11).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and (-5)\/2*(-8)\/10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 0.5, -760, -3\/16 in descending order.\nAnswer: 0.5, -3\/16, -2\/5, -760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6*y**3 - 9*y + 5. Let k be (-4)\/(-1) - -3 - 2. Let m(h) = -7*h**3 - h**2 - 10*h + 5. Let p(n) = k*m(n) - 6*a(n). List the prime factors of p(5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -85402.38 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2002233 (base 5) to base 9\nAnswer: 47265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 14*q - 38. Let o be y(10). Put -2, -3, 23, o in descending order.\nAnswer: 23, o, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1099 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10194 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: What is the hundred thousands digit of 80192693?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -371*y - 211046000 = -349*y. Round y to the nearest 100000.\nAnswer: -9600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -10*w**3 + 680*w**2 - 7*w + 442. What is t(68)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 8*a = 1085. What are the prime factors of a?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6294*i + 498170 = -1741*i for i.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 9*x**2 + 147968*x**3 - 1 - 147965*x**3 + 2*x**2.\nAnswer: 3*x**3 + 11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(30)\/sqrt(3))\/sqrt(2) + 3)*1 - ((3 + sqrt(20)\/sqrt(4))*-5)**2*3).\nAnswer: -1047 - 449*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -403*o**3 - 17*o**2 + 164*o. Let c(a) = -134*a**3 - 6*a**2 + 58*a. Calculate 17*c(v) - 6*x(v).\nAnswer: 140*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*c + 2*u + 8 + 5 = 24*c, c + 4*u - 85 = 15*u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*8\/84)\/(4\/(-6)) - -7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -401, -458, -559, -710, -917, -1186?\nAnswer: -1523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 5*h = -45, -2*b - 528 = 4*h - 552 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 81. Let j(g) = -17*g**2 + 36*g**2 - 18*g**2 - g + g. Give j(q(d)).\nAnswer: d**4 + 162*d**2 + 6561","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 less than -64?\nAnswer: -63.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -82*m + 69*m. Suppose -5*w - 2*j = -6 - 78, -3*j + 6 = m. Solve w - 6 = -5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 10*n - 5*n**2 + 10*n**2 + 7 + 3*n**2. Let b be x(-8). Let t = -44 - b. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1\/4 (b) 0.2 (c) 3 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 7*v**2 - 6*v + 1. Let r(g) = -g**2 - 11*g - 6. Let h be r(-11). Let b be m(h). List the prime factors of (-2 + (-21)\/(-1))\/b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (18\/33*11 - (-105)\/110)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {d: 1, e: 1, y: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7066 divide 119873610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -820, -819, -816, -811, -804?\n\"Answer: c**2 - 2*c - 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5\/84, 2, 1\/12, 0.18?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.8 - -9.3. Suppose -2*u - x = -0*x - 6, -5*u - x = -15. Let j be (-2)\/1 - ((u - 3) + -3). Which is the smallest value? (a) 3 (b) j (c) 2 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 + 30*t + 821. Determine s(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1580, -1554, -1510, -1448, -1368, -1270, -1154?\n\"Answer: 9*l**2 - l - 1588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1\/4300 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2 - 217*s + 660. Calculate l(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -8*u**2 - 17*u**2 - u + 26*u**2. Let x(g) = 14*g**2 - 10*g. Let m = -234 - -235. Calculate m*x(j) - 12*p(j).\nAnswer: 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -8*f + 4*f + 0 - 8 + f**2. Let b be m(6). Suppose 4*i + 6 = -u - 0, b*i - 12 = -4*u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/4)*s*s*s)**48\/((s\/((s\/s**(-2\/15))\/s))\/(s**(-2\/17)*s)))\/((s*s**(-2\/7))**(1\/77)*s*s*s**(-2\/11)*s*s\/(s*s**6)) assuming s is positive.\nAnswer: s**(21879626\/137445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 4*t**2 + t - 1. Let u be n(-4). Let y = 5 + u. Suppose 5*w - 58 = -l - 83, l + 2*w + 10 = 0. Solve l*h - h = y for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -110*g**2. Let o(d) = -d + 2. Let v(x) = 9*x - 10. Let r(w) = -5*o(w) - v(w). Calculate r(q(m)).\nAnswer: 440*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**4\/2 - 5379*g**3\/2 + 220083*g**2\/2 + 225459*g\/2 = 0 for g.\nAnswer: -1833, -1, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 148*q + 15*q + 192*q + (1 + 0 + 3)*(-4 + 4 - 3*q) in the form r*q + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 0 + 17\/5. Which is the second biggest value? (a) 1\/2 (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 587 + -277. Find the third derivative of 77*c**3 + f*c**2 + 136*c**3 - 21*c**3 - 74*c**2 - 20*c**3 wrt c.\nAnswer: 1032","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a4a (base 13) to base 9.\nAnswer: 5367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -81, 2\/25, 2, 1\/2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/(-780))\/((-3)\/5)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, s: 4, c: 1, k: 1, h: 2}. Give prob of picking 1 c, 1 k, and 1 h.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 3:04 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000516133 to 7 decimal places.\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**0)\/x)**50*x*x**(-2\/13)*x**(-3)*(x**2\/(x\/(x*x*x*x*x**(-12)*x)))**(-23) assuming x is positive.\nAnswer: x**(1766\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - w**2 - 3*w)*(-1 + 2 + 3 + (2 - 1 + 1)*(-2 + 1 + 0) + 2 - 1 + 0).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 8) in base 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -870 - 2078. Let n = j + 95806\/65. Let y = n - -6\/13. What is the second smallest value in y, 1\/4, -3\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*a**2 - a**2 - 40*a**2.\nAnswer: -213*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/64 and -7\/6137496.\nAnswer: 49099968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -5*w + 4, 0 = -5*w + r - 5*r + 36 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 + (49 + -5 + -5 - 24).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 equal to 394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 + (-7 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8430 + 8432. Solve p*f + 5 = 10*d - 11*d, 0 = f - 2*d + 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5 - 5 = 0. Let b(t) = -t**2 + 4*t + 6. Let s be b(5). Suppose 10 = 4*j + 2*y, 4 = 2*j - y + s. What is the highest common divisor of j and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8229197 less than or equal to -8229198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 159*y**4 + y**3 + 14*y - 125555 with respect to y.\nAnswer: 636*y**3 + 3*y**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 - f**2 + 6*f**3 + 21*f**3.\nAnswer: 27*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h - 3. What is the units digit of s(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y - 17. Let i be x(-9). Find the first derivative of -1 + 4 - 2*z**4 + i - 3*z**4 wrt z.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 2*h + 20 = 0, -21*h = 194*u - 189*u - 24*h - 10 - 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**2 + 439*v - 1015. What is t(144)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbdb when four letters picked without replacement from bbxxxbwdxbbxxbxbxxb.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccv when three letters picked without replacement from kcckkvckck.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(1\/2)\/(5\/10). Let r be (-3)\/o + 13\/5. Let h(w) = -2*w + 3*w + 2*w**r - w. Let t(f) = -17*f. What is t(h(z))?\nAnswer: -34*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9206087.\nAnswer: 11, 836917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z = 21*z + m + 25, 5*z = -5*m + 35 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28573072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/52 and 73\/404222?\nAnswer: 808444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 10333.\nAnswer: 27\/10333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000064127585 rounded to 7 decimal places?\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u**3 + 7*u**2 - 24*u - 213. Determine a(-4).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-168)*7\/3*52\/(-546)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 59445*z**3 + 2298555*z**2 + 1506520*z + 380 = 0.\nAnswer: -38, -2\/3, -1\/3963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 509212*t + 28503328.\nAnswer: 4*(t + 56)*(t + 127247)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*o = -29356, 7*v - 4*o = 3*v + 39128. Suppose 5*z + 3*n = 5129 + v, -11923 = -4*z - 3*n. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**4 + 2*y**4 - 4*y**4)*(y - 3 + 3) + 3*y**4 - 3*y**4 + y**5 + (-3*y**3 + 5*y**3 + y**3)*(4*y**2 - 3*y**2 + y**2).\nAnswer: 5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 5:47 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205004 divided by 4.\nAnswer: -51251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l + 4. Let j(s) be the third derivative of -3*s**4\/8 + 7*s**3\/6 + 23*s**2 - 3. Give 11*a(b) - 6*j(b).\nAnswer: 10*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -217.79 + 204. Round h to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 2:17 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -4, 1, -13 in descending order.\nAnswer: 5, 1, -3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from {y: 1, z: 2, u: 1, r: 1, k: 1, l: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 28\/(-21)*249\/2. Let n be -1 - (r\/(-5) + (-2)\/(-5)). Which is bigger: n or -36?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 80, -1144, -5116, -13210, -26800?\n\"Answer: -229*p**3 + 379*p - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7027.\nAnswer: 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (92\/(-10))\/((17\/(-20))\/17). What is the greatest common divisor of p and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 76 + 88 = 0. Are z and -6 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b**5 - 2*b**2 - 3*b wrt b.\nAnswer: 300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 + 74 - ((-5)\/1)\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-42)\/72)*35\/(-105).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 9:56 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*p**3 + 13*p**2 - p + 317 wrt p?\nAnswer: -54*p + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15857 (base 9) in base 15?\nAnswer: 3371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122444324 (base 5) to base 10.\nAnswer: -593714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 9*w + 143. What is the remainder when (-137)\/(-5) + 2\/(-5) is divided by s(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 9. Let w(o) = 3*o - 5*o - 7 - q*o**2 + 2*o. Suppose -3*y - h - h + 8 = 0, -4*y = 4*h - 12. Let v(t) = 4*t**2 + 2. What is y*w(l) + 7*v(l)?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -1, 42 in descending order.\nAnswer: 42, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.62447 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*q + 7 = -3*r, 2*r + 5*q = -11. Solve -r*k + 0 = -10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-330)\/85)\/((168\/238)\/12)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*n**6*u - 282*n**4*u**3 - 3*n**2*u**3 - 14*n**2*u**2 + 67*n**2 wrt n.\nAnswer: 1680*n**3*u - 6768*n*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3727447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 177 - 165. Solve -f*w = -4*g, -2*w = 2*g - 0*g + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2163164511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 944 + -1374. Let v = t + 1288\/3. Let r = 3 - 2.9. Which is the nearest to -3\/7? (a) r (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (16 + (-10 - 0))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + (2 + sqrt(300) - sqrt(300)))*-5 - (-4 + sqrt(300) + -1)*4) + -3)**2*-5.\nAnswer: -24845 - 5200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 979782 + 14.04498.\nAnswer: 979796.04498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -r + 96. Suppose -332 = -4*f - 4*h, 0*h + 2*h = f - 74. What is the least common multiple of f and r?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)\/(k*k**(2\/7)))**9 assuming k is positive.\nAnswer: k**(-207\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 23958 = 4*l, -2*w + 54*l = 59*l - 23994. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**3\/3 - 3*n**2 - 2*n - 25. Calculate o(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -3, -8502 in decreasing order.\nAnswer: 2, 1, -3, -8502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14909344.38 microseconds in weeks?\nAnswer: 0.00002465169375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 271*r**2 - 5114*r + 15730. Give b(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 8*w**2\/13 - 436298*w\/13 - 327282 = 0.\nAnswer: -39\/4, 54547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/(((-80)\/8)\/5)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3264922229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(12\/(-8)*1). Let x be (b + -5)\/(3\/(-12)). Solve -x*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**4\/3 - 200*g**3\/3 + 92*g**2\/3 + 5000*g\/3 + 1568 = 0. Calculate g.\nAnswer: -4, -1, 6, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/41849 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 147, 296, 445, 594?\n\"Answer: 149*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-1 + 0 - 0). Let d(f) = 5 + 0*f + 0*f + 3*f**2 - 5*f - 4*f**3. Let y(r) = 6*r**3 - 4*r**2 + 7*r - 7. Let t = -7 + 14. What is s*y(v) + t*d(v)?\nAnswer: 2*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -219e?\nAnswer: -21a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44373540 is divided by 312.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2993\/21626 + -2\/983. Let b be (78 - 72)*(0 - (-1)\/2). Calculate the common denominator of b + 510\/(-80) - 4 and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 93\/4. What is the nearest to -0.1 in 0.02, n, -1\/3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -264*h + 1089*h - 270*h - 268*h + 77 - 275*h. Give z(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**9\/126 - f**5\/8 - 35*f**3\/6 - 30*f**2. Let m(h) be the first derivative of i(h). Find the second derivative of m(y) wrt y.\nAnswer: 480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b**2*g + 39413*b**2 - 4128*b*g wrt g?\nAnswer: -2*b**2 - 4128*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.029 - -0.052. Let c = v - -2.977. What is the second biggest value in 6, c, 1\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 21*g - 161. Calculate f(9).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*h = -32, -5*b = -3*b + 5*h - 28. Find the second derivative of 98*x**5 - 2 - 67*x**5 + 6*x - b*x wrt x.\nAnswer: 620*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, v: 2, p: 8, b: 2, i: 2, l: 5}. What is prob of sequence zpv?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-3) + (-1)\/1. Suppose -q + 1 = -2*t - 3*f, 4*f + 4 = 0. Suppose 0*x = x - t. Sort -4, 1, x in decreasing order.\nAnswer: x, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 413552229 to the power of 1\/2, to the nearest integer?\nAnswer: 20336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 170 or 169?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(3) + 2*sqrt(363) + sqrt(3)).\nAnswer: 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) -29 (c) 39 (d) 3\/4 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 5*s - 6. Let l be w(7). List the prime factors of (-5)\/10*(5*l)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4537848 + -4537849.2291786. Let j = 1.229 + m. What is j rounded to 6 decimal places?\nAnswer: -0.000179","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 9) + (30 - 42)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26.678 + 26.73. Round a to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 38.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 + 37b?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 26*h**2 - 28*h + 69. Let k be v(25). Let r be 0 - 6\/(2 - 0). What are the prime factors of -2 + (k - r)\/(-1) + 105?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 b when three letters picked without replacement from {w: 1, h: 1, o: 1, b: 1, d: 2, j: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 270 - 264. Suppose 0 = q + y - 17, -8*q + b*q + 4*y = -40. What is the remainder when 67 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 8 - 1 + 17*a + 21 + 11*a**3 - 17*a**2 - 2. Let k = 4 + 2. Let i(y) = -4*y**3 - 6*y + 1 - 8 - 2 + 0*y**3 + 6*y**2. Give k*f(b) + 17*i(b).\nAnswer: -2*b**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2981487 is divided by 561.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-8))\/(14\/(-616)). Let m(x) = 3*x**3 - 26*x**2 + 35*x + 11. Does 11 divide m(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*h - 7525295 + 7525295.\nAnswer: -27*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3234219 + -5.\nAnswer: -3234224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + n - 5 = -2*n, 2*n = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1524641 is divided by 508209?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 49286874059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 0)\/4*-4. Let a(b) be the second derivative of -7*b**3\/6 - b**2\/2 - 3*b - 19. Calculate a(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 11:42 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 25\/150*1*-1\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7057, -7046, -7029, -7006, -6977, -6942, -6901?\n\"Answer: 3*q**2 + 2*q - 7062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-45)\/(-2) - 4\/8. List the prime factors of -2*t*(-3)\/12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-441)*-21)\/(2\/(-10))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -5\/2*l**2 - 25 + 4*l - 5\/3*l**3 + 1\/4*l**4. What is j(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 399 and 37590.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/3 + (40384\/(-12))\/(-16). Is 211 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168710 is divided by 529?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2241452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w - 6. Let q be x(-9). Suppose q*u - 13 = -4*k, 8*k - 40 = 3*k + u. List the prime factors of -2 + k + (3 - 2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233 - 186 + 244*k**2 + 420 - 4*k**3.\nAnswer: -4*k**3 + 244*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 11*r**2 + 13*r + 35. Calculate k(-4).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2504 - 2333. Calculate the remainder when l is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b - 5 = 0. Let p(l) = -32*l + 2883. Let c be p(90). Solve c*o - 3*x + 15 = -7*x, 3*o = b*x + 12 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -10) + (3 - -91) - (-183 - -199)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4) - (-510)\/4. Let h(v) = -10 + 2 - 7*v - 18. Let y be h(-6). Calculate the greatest common factor of y and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 1. Let t(u) be the first derivative of -3*u**2\/2 - 3*u + 82. Calculate -5*m(k) - 2*t(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 + 108. Let a = -23 + y. Is 66\/10 + a\/35 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -718 - -1540. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*z**2 - 92 + 92)*((4 - 3 - 2)*(2*z + 4*z - 4*z) - 4*z - 2*z + 4*z)*(-2 + 2 - z**2).\nAnswer: 176*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 24737\/(-77140)*-28?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1672.96226 rounded to zero dps?\nAnswer: -1673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/5 (b) 9\/5 (c) 0.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110333233211 (base 4) to base 8.\nAnswer: -24775745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 3*z + 7 = 0, 3*l - 11*z + 7 = -16*z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9894 or -9900?\nAnswer: -9894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5758 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 127*o**5 + 8*o**3 - 137*o. Let w(a) = -85*a**5 - 5*a**3 + 91*a. Let n(q) = 5*k(q) + 8*w(q). Find the second derivative of n(u) wrt u.\nAnswer: -900*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 442075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 128\/(-120) + 14\/12?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6609177?\nAnswer: 3, 71, 10343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 336562 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51567\/28310 - 371\/149. Let x = -2107 + 80061\/38. Let v = q + x. What is the common denominator of -81\/8 and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/2 + 18*n + 96.\nAnswer: -3*(n - 16)*(n + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7751.\nAnswer: 23, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -123. Let b = 949181501.999999565 - 949181382. Let y = b - p. Round y to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pv when two letters picked without replacement from ddddqqddaqqvpq?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 + v**5 - 3*v**2)*(-2168 - 381 - 1879 + 228 - 118).\nAnswer: -4318*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p**2 - 14*p**2 + 3*p**2.\nAnswer: -29*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z**2 + 1128*z - 4448. What is u(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 7*v + 8. Suppose -8 - 12 = -2*r. Let u be b(r). Let f = 25 + u. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6739, -6733, -6727, -6721?\n\"Answer: 6*n - 6745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, 2, -228 in increasing order.\nAnswer: -228, 2, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 2. Let k be q(-14). Let w = 22 + k. Solve f + w = 3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5986860068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-14)*(v\/(v*v*v**(-22))*v)\/v*v)**(-1\/4) assuming v is positive.\nAnswer: v**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q + 28. Let j be b(-14). Suppose k - 646 - 1151 = j. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3990 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**2. Let x(n) = 2178954*n. Calculate k(x(w)).\nAnswer: -14243521602348*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/(-6))\/((-2736)\/(-2889)) and 71\/22.\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 137 + -2 + 2 + -63 + -38 + 66 + 27.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 129 + 15 = 0. Let i be 26\/(2\/b*(-68)\/1275). Round i to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2. Let d be c(1). Let i(s) be the second derivative of -s**3\/2 + s**2\/2 + 7*s. Calculate i(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -233?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 11:08 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 5, 0.1, 7009410.\nAnswer: -0.5, 0.1, 5, 7009410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-6)\/4))\/(150\/(-225))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 4*s + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12 - (8\/4 - -1). Calculate the highest common divisor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.74679 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 72*c + 96. Let v be j(-1). Let k = -0.1 + 0.2. What is the closest to -2 in k, 4, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u - 47. Determine d(19).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3551350 is divided by 1183778?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**7\/210 + 41*r**6\/80 + 115*r**5\/8 - 332*r**4\/3 - 256*r**3 - 67*r**2 - 3. Find c such that s(c) = 0.\nAnswer: -32, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = g + 3, -5*g + 4 = -4*m + 37. Let h = 41 - 16. Suppose -4*x - m*r - r = -853, -h = 5*r. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 754579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 17\/4 of a millennium?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 386010903 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + (sqrt(117) - 1*sqrt(117))*-3)\/sqrt(9))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30590, 61179, 91768?\n\"Answer: 30589*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -25*p + 103. Suppose 11*i = 9*i - 4*l + 28, 25 = 5*l. Let s be o(i). Factor 4*c**4 + 12\/5*c**s + 0 + 0*c - 8\/5*c**2.\nAnswer: 4*c**2*(c + 1)*(5*c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60204497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.16 - 35.66. Let t = s - -35. Which is the nearest to 2\/7? (a) t (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 6)\/(6\/(-3)). What is the remainder when (-5 - -38) + (5 - q) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkbv when four letters picked without replacement from {b: 2, k: 3, c: 1, v: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q*q**4\/q*q*q*q*q\/(q\/(q**(1\/9)\/q))*q\/q**(-7\/2)*q*q**(-3) assuming q is positive.\nAnswer: q**(191\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13130210032 + 320?\nAnswer: 13130211012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67 + -78 - -54) + -106?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m. Let h(s) = -3*s - 1 + 0*s + 766*s**2 - 761*s**2 + 3*s. What is j(h(k))?\nAnswer: -20*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 6*p**2 - 4823*p + 121346. Determine j(26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(20) + 2).\nAnswer: 2 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**2 - 140*m + 12265. What are the prime factors of u(0)?\nAnswer: 5, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35327 is divided by 225.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -231, -465, -699, -933, -1167?\nAnswer: -1401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 3*y**2 + 3*y - 5. Let f be -5 - ((-84)\/108 - 6\/27). Give t(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9615 times -21?\nAnswer: -20.1915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -5, -1, -4\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2582, 5191, 7800?\n\"Answer: 2609*t - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 5096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 96253 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 42.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*h + 3579 + 1249. What is the remainder when h is divided by 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28350?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(6) - sqrt(324)\/sqrt(6)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide ((20\/(-14))\/1)\/(141\/(-166803))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 310 = 5*f, -382 = -5*d - f - 66. Calculate the remainder when 188 is divided by d.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38888530?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 308 - 2152\/7. Which is the closest to -3? (a) 0.2 (b) g (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.0923511?\nAnswer: -0.2770533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, d: 5, a: 3}. Give prob of picking 1 b and 3 a.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 818733283 to the nearest integer?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqs when three letters picked without replacement from tkqvqvtavasa.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19090861301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -16128, -15, 0 in descending order.\nAnswer: 0, -3, -15, -16128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 62 + 63 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 58, 64, 82, 118, 178?\n\"Answer: y**3 - y + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + (sqrt(125) + (-2 + 2*sqrt(125) + sqrt(125))**2 - (1*sqrt(125) + 4)**2).\nAnswer: -95*sqrt(5) + 994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 2)*(v - 1 + 1) - 4 + 4 + v + (1 - v - 1)*(15 + 15 - 15)*(-2 - 3 + 2) as x + y*v and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33165 and 173580.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-57)\/(-21) - 78\/(-273). Suppose l*x + t = 1644, 1320 = 6*x - 2*x + 2*t. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 - 2*t**2 + 3*t - 3. Let z(c) = -c**2 + c. Let u be (12\/21)\/4 - 27\/(-7). Suppose -k = -l - 1 - u, 5*l - 3*k = -21. Determine l*z(n) + m(n).\nAnswer: -2*n**3 + n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 17 - 3*v - 1.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/31)\/(f*(f*f\/f**36)\/f) assuming f is positive.\nAnswer: f**(1052\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*a**3\/7 + 72*a**2\/7 + 66*a\/7.\nAnswer: 6*a*(a + 1)*(a + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21365 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 72\/(-117))\/((-5)\/2)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**3 + 13533*h**2 - 81279*h + 121959 = 0. Calculate h.\nAnswer: -4517, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 136247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 29*p + 12. Give z(3).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/5 and ((-15)\/(-4) - 4)*(-84)\/(-8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -9*m**3 - 173*m**2 + 154*m + 3642. What is s(-19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47076*d**3*l**3 + 44*d**3*l**2 + 2*d**3*l + 2*d**3 + 55*d**2*l - 1375*d**2 - 1 wrt l.\nAnswer: 282456*d**3*l + 88*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 9 = y, -6*y = -4*y - k - 14. Suppose -h = -5*f - 2*h + 25, -y*f + 10 = -2*h. Let a(r) = -f + 12*r - r**2 - 2 - 18*r. What is a(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36\/63 - (-78)\/(-14). Let q be 60\/c*(2 - 11). Suppose t = 2*t + 3*l - 29, 0 = 3*t + 2*l - q. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101320 divided by 5.\nAnswer: 20264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f + 73 + 81 = 0. Let z be (f\/(-6) + -3)*75\/50. Let k(j) = -22*j**2 - j + 4. Let y(w) = 66*w**2 + 3*w - 11. Let a(d) = 11*k(d) + 4*y(d). Give a(z).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21747, -21595, -21365, -21057, -20671, -20207?\nAnswer: -19665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 9:37 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 84*h - 3 - 6*h**2 - 45*h - 41*h + 4. Let a = -18 - -23. Suppose 0 = f - a + 4. Calculate c(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2184 = -361*m - 59 - 645 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 465519?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m + 4 - m - 3*m. Let t be i(10). Let n(v) = -76*v**3 - 5*v**2 + 7*v + 6. Let r be n(t). What is r rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1)*2\/(-16)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17600 and 308?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14026 is divided by 7010.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -13*y - 35. What is the units digit of d(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 143*u**3 + 4*u**2 + 3*u. Let i be g(-4). What is i rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 6 = 3*q - 15*j, -10 = -5*q + 2*j. Suppose -3*u - 3*d = u + 5, -2*u + 5 = 3*d. Put -1, u, q, 3 in increasing order.\nAnswer: u, -1, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 - 16851288*o + 269619584.\nAnswer: 4*(o - 4212806)*(o - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2\/7, -9\/2, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.244 + 2.1. Round c to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.8844 plus -0.01?\nAnswer: 26.8744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -158.69 + 158.39. Let k = -171\/4 - -43. What is the third smallest value in g, -0.24, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 146632295 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s - 52. What is g(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(0 - (0 + 0)). Let r(f) = f**3 + 11*f**2 - 14*f - 149. Let j be -12 + (-6 - (-21)\/3). Let l be r(j). Solve n + 20 = -l*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyywywjwjy. Give prob of sequence yw.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**4 + 6*g**2 + 14*g**2 + 3*g**4 + 5*g**2 wrt g.\nAnswer: 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**5\/160 - q**4\/2 + 31*q**3\/16 + 95*q**2. Factor h(m).\nAnswer: 3*(m - 31)*(m - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25, -10, 13, 44, 83, 130?\n\"Answer: 4*y**2 + 3*y - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-1 + -1 + 3)**2*-1*-5*-2.\nAnswer: -90 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10231312122033 + -11?\nAnswer: -10231312122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/6 - 6*a + 30.\nAnswer: (a - 30)*(a - 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 21253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33227837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 669*q - 664*q = 10, 4*d = -4*q + 480. Calculate the lowest common multiple of d and 31.\nAnswer: 3658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96899 and 127028.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*v - 6. Let i = -1024\/5 + 204. Put v, 0, i in descending order.\nAnswer: v, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5290 is divided by 1672.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 14*h + 18. Let d be l(-15). What is the closest to 0 in 0.5, d, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 356\/(-6)*-9*(-11)\/(-66)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 695, 2859, 6475, 11537, 18039, 25975, 35339?\nAnswer: 46125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/252235104 and 1\/22930464.\nAnswer: 252235104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 8:19 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 533351 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 618 (b) 0.4 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 18010871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 34, -385\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Express 8*f**3 + f**3 - f**3 + (0 + 0 - 2*f**2)*(-1 + 1 - 2*f) - 3 - 9*f**3 + 3 as s*f**3 + w + d*f + r*f**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 7909\/17 (b) -0.5 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 99, 117, 135, 153, 171, 189?\n\"Answer: 18*r + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - -2*15\/(-9). Let b = 13\/4 + -37\/12. Sort b, -5, x in descending order.\nAnswer: b, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(132))\/sqrt(4)*-5)\/(sqrt(176)*-6 - -2*sqrt(44)\/sqrt(4)).\nAnswer: -5*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-10))\/((-8)\/(-30))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 710480957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((-7)\/((-63)\/9)) + 22. Solve -41 - 35 = i*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.3 and -50 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + 9 - 3*v**2 - 4*v**2 + 2*v**2.\nAnswer: -8*v**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*t - 305*t + 2152 = 149*t - 398 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 + 1.1. Let r = -5 + 8. Let z be (8\/48)\/(1\/(-4)). What is the nearest to 3\/5 in v, r, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - ((2 - (-4 - 6)) + -40 + 25).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31725 + -1.\nAnswer: 31724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91368, -91489, -91684, -91959, -92320?\nAnswer: -92773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*20.9.\nAnswer: -83.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 7 = -17. Let q be 2 + (0 + 0)*-1. What is the greatest common factor of q and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 14 = 11*c. Solve n = -2*w - 2*n + 12, n = c*w + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23126, -35618, -48110, -60602, -73094, -85586?\n\"Answer: -12492*i - 10634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w - 2. Let x be r(3). Suppose -23*o - 15 = -18*o. Put x, 2, o in ascending order.\nAnswer: o, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byeb when four letters picked without replacement from ttbebbnttybntnnt.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -45230159, -90460357, -135690545, -180920717, -226150867?\n\"Answer: c**3 - c**2 - 45230202*c + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63349125 at least as big as 63349123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.79374 + 0.01374. What is m rounded to 0 dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-3 + 34)) + (-12 - (-4 + (-8 - 5)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12021 (base 4) to base 2\nAnswer: -110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/3)\/((-2)\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 9*p - 22*p - 3 + 10*p - 1 - 2*p**2. Determine f(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.01 and -7.85255178559.\nAnswer: -6.84255178559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -3, -4, 46, 9 in increasing order.\nAnswer: -11, -4, -3, 9, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**4\/8 + 33011*h**3\/8 - 131977*h**2\/8 - 1683411*h\/8 + 891189\/4 = 0?\nAnswer: -6, 1, 9, 33007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6917081 centuries to months.\nAnswer: 830.04972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2772\/(-14))\/((-438)\/73).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200 and 320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 0)*(4179*d + 4021*d - 6433*d) to x*d + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 4025245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-7)*-7 - (-23862)\/(-3198)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2 + 2*l + 1. Let q be a(-1). Let o = 204 + -201. Let c(v) = -2*v + 1. Let t be c(1). Sort o, t, q in decreasing order.\nAnswer: o, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -14. Suppose 9*b - p*b = 0. Let h = 0.2 + -0.24. What is the closest to -0.1 in h, 0.3, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*s**5 - 2*s**4 - 2*s**2 + 49*s wrt s?\nAnswer: 1800*s**2 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 8*b**2 + 10*b - 10. Calculate the remainder when ((-70)\/(-4))\/(959\/1644) is divided by v(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406719106.\nAnswer: 2, 47, 131, 33029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 + 71 - (-8 - 1) - -10?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r + 1. Let p(n) = 10*n - 5. Determine 3*p(g) + 8*z(g).\nAnswer: -2*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l. Let z = 6 + -4. Let h(q) = 6*q**2 - 3*q**2 - 6*q**z - 7*q**2. Calculate y(h(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 8*v**2 + 3*v**2 + 73*v - 72*v)*(5 - 1 + 14) to the form b*v + q*v**2 + o and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -78d0?\nAnswer: -78cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34.1, -1\/2, 14\/3 in descending order.\nAnswer: 14\/3, -1\/2, -34.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 708 and 130188?\nAnswer: 7681092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2864 + 14277. Let d = v - 5574. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16830\/41 or -411?\nAnswer: -16830\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**4\/d)\/(d\/d**(1\/4)))\/(d*d**(-1\/2)*d**2))\/((d\/(d*d**(-2)))\/(d\/(d*d**(-1\/4))))**(-4\/11) assuming d is positive.\nAnswer: d**(17\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*h**3 + 9\/2*h**2 + 3\/2*h - 9\/2.\nAnswer: -3*(h - 3)*(h - 1)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6313731, -6313718, -6313691, -6313644, -6313571, -6313466, -6313323?\nAnswer: -6313136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32851.5 and 0.3.\nAnswer: 9855.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 1, -68\/93, -12, 2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 409146624 to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -5226.6 to the nearest 100.\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*v**3\/7 + 110*v**2\/7 + 302*v\/7 + 36\/7.\nAnswer: -2*(v - 9)*(v + 2)*(8*v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31851888?\nAnswer: 2, 3, 663581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 34*q - 50*q + 23*q + (-1 - 2 + 2)*(q - q - 2*q))*(10 + 29 - 3) to the form l + b*q and give b.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2 = -o + 5, -2*o + 22 = 2*d. Calculate the remainder when 38 is divided by (16\/(-1))\/4 + o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-3 + 3)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 + -44.3. Let b = 5 - o. Let t = -0.6 + b. What is the biggest value in 0.1, t, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8551 and 22049?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 595*j**3 + 601*j**3 + 1526*j**3 + 140*j**3.\nAnswer: 2862*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**3\/3 - 2*c**2 + 6*c + 9. Calculate i(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l + 1 + 6 - 5 - 2*l**3 - 2*l**4 + 2*l**2 + 0 to the form p*l**3 + g*l**2 + h*l**4 + d + x*l and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3. Let x(q) = -q + 3. Let m(z) = 56*z - 1003. Let s be m(18). Determine s*x(a) - 4*k(a).\nAnswer: -5*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 1, 10, 19, 28?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -8*l**2 - 8*l + 102. Let w(k) = 2*k**2 + 2*k. What is o(j) + 3*w(j)?\nAnswer: -2*j**2 - 2*j + 102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 52796 - 96?\nAnswer: 52700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 813*b**3 + 680*b**2 + 14*b - 7. Let r(f) = -407*f**3 - 341*f**2 - 6*f + 3. Let s(u) = 3*o(u) + 7*r(u). Find the third derivative of s(m) wrt m.\nAnswer: -2460","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47 (base 10) to base 6.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/21*21\/(-198)*3.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbe when three letters picked without replacement from eeebjbeeeeeeee.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -543 + d?\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*g - 45*g + 84 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 1 - 11 - 2*h + 4*h in the form t + b*h and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*g**2*p + 3*g**2 + 2*p**3 + 38 wrt p.\nAnswer: 16*g**2 + 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*v**5 + 2*v**5 - 4*v**5 + (-2*v**2 + 0*v + 0*v)*(0*v**2 + 2*v**3 + 0*v**2) + 0*v**5 - 3*v**5 + v**5.\nAnswer: 2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9199, 9172, 9125, 9058, 8971?\nAnswer: 8864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 10:58 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 5*n**2 + n + (-2 + 2 + n)*(-3*n + n + 0*n))*(34 + 13 - 2*n**2 - 8).\nAnswer: -6*n**4 + 117*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/179, -5, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (17\/34)\/((-1)\/(-10)). Suppose -a + 58 = j*g, 2*a + 63 - 193 = -3*g. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v*w**2 - 325*v*w - 19311*v + 2*w**3 wrt w.\nAnswer: 4*v*w - 325*v + 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -8. Suppose -5*g = 4*k - 7*g + 150, 0 = -3*k + j*g - 105. Let u = k - -72. What is the remainder when u is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -3. What is the third derivative of -4*j**2 - 2*j**w + 3*j - 3*j wrt j?\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.79 - 0.96. What is f rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2039301780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i = 12. Suppose 2*s + 0*n - 206 = i*n, 3*s - 2*n - 299 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c + 1. Let l(i) = 5 - 7 + 3. Suppose 3*x - 10 = 2*w + 3, -2*w = 4. Suppose 2*d - x = -5. What is d*v(q) + 3*l(q)?\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3684*k**2 - 14*k - 8. Let j(m) = 11060*m**2 - 39*m - 23. Calculate 5*j(o) - 14*r(o).\nAnswer: 3724*o**2 + o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = p + 1458, 4380 = -5*p - 3*o - 2871. Let m be p\/(-14) + -3*6\/(-63). Let r = 1 + 12. Calculate the highest common divisor of m and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*f = 53184 + 15770. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55.8 + 58.8. Which is the closest to 0? (a) q (b) 2 (c) 4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11106*j - 521728 + 29004 - 484604 = 0 for j.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a4 + 6cd36?\nAnswer: 6d1da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 344*g**2 + 2580*g - 2232.\nAnswer: -4*(g - 6)*(g - 1)*(g + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*r - 7 - 114, 0 = 3*r + 4*c - 178. What are the prime factors of r?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 - 24 - 10*c**4 + 2*c**3 + 3*c**2 to the form m*c**2 + t*c + k*c**4 + x*c**3 + r and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1728 and 28188000?\nAnswer: 56376000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4071 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: Suppose 0 = 14*x - 97 + 27. Solve 2 = -s + x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118303.28 - -7.5058?\nAnswer: -118295.7742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6855192 is divided by 76?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 + 603736\/(-21))\/(2\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17401325 + -2?\nAnswer: 17401323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -416*n**2 - 1252*n - 14. Give l(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3335184 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 + q**2 - 11)*(4*q**2 - 5*q**2 - q**2) + 2*q**4 + 5*q**4 - 2*q**4 to x + m*q**4 + b*q**2 + u*q**3 + h*q and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13919214.\nAnswer: 2, 3, 101, 103, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 201937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 102556837 to the power of 1\/4, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 476 in 691, 2, -2\/11?\nAnswer: 691","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1304 = 3*n - y - 7002, -5*y - 2792 = -n. Let l = n + 1222. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 15 = -3*m + 3*x, 5*m + 4*x - 22 = 0. Let p be ((2 - 2)\/2)\/m. Suppose 2*v + p*v = 8. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2019 is divided by 421.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**3 + 14*y**5 + 24*y**4 + 21*y**4 + 3*y**2 + 13*y**5 + 20*y**3 = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*b - 160 = -126*b + 68*b for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80215517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 2*a + 0*a)*(-a + 1 - 1) + a + 3*a**2 - a + a**2 + 0*a**2 + 0*a**2 + (-a - a + 4*a)*(-5*a - 13*a + 5*a).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.46 + -0.4. Let m = d - 2.06. Let z = -9\/5 - -89\/55. Which is the closest to 2\/3? (a) m (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0576 and 0.4.\nAnswer: -0.02304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**4 - w**4 + 8*w**4)*(3 - 2*w - 3).\nAnswer: -4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -40 - (66 - (169 - 123) - (1 + 4))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17422*0.4.\nAnswer: -6968.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3698*m**4\/5 - 1147412*m**3\/5 - 103749698*m**2\/5 - 2287565952*m\/5 - 14698579968\/5 = 0. What is m?\nAnswer: -141, -608\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zn when two letters picked without replacement from {h: 4, z: 4, n: 9}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -g + 5*o, -4*o = -5 - 3. Calculate the lowest common multiple of ((-39)\/15 - -1)\/(g\/2250) and 2.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 73 = 2*l, 5*l - 4869*o + 70 = -9728*o + 4864*o for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 445 + -444.303. Let d = s - 0.597. Which is the third biggest value? (a) 3 (b) 11 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 5:44 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/2, 4, -85\/232?\nAnswer: -85\/232","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -211951\/18 + 11771. Let y = -51589\/10 - -5169. Calculate the common denominator of y and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 6 = 0, 5 = 2*j + 4*q + 25. Let k(m) = -4*m**3 + 2*m - 2. Let b be k(1). What are the prime factors of j*(-2 + b) - -2?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61407 and 6.\nAnswer: 122814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2\/7 + 9944*t\/7 = 0.\nAnswer: -4972, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x - 22 = 29*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2542725859?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -4, 0.05, -3, 2\/19, -0.5 in descending order.\nAnswer: 2\/19, 0.05, -0.5, -3\/2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**5\/60 - b**4\/4 + 4*b**3\/3 - 174*b**2. Suppose -2*o = -5*c - 41, 4*c + 7*o - 2*o = -13. Calculate m(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*z - 140, -5*j - 2*z - 185 = 3*z. Let t = 171 + -205. Let c = t - j. Is -2 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 13*s = 4*t - 1052, -3*s + 1321 = 5*t. List the prime factors of t.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**4\/3 + 17*v**3 + 217*v**2\/3 + 55*v = 0.\nAnswer: -3, -1, 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**3\/3 - 7*x**2\/2 + 4*x. Let y be b(6). Suppose 0 = 5*k + y, 5*h - 105 + 0 = -5*k. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 8*u - 7. Let y be q(-6). Suppose 0 = 5*i + 4*i + 9. Put y, 1, i in ascending order.\nAnswer: i, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5470818386 to the nearest integer?\nAnswer: 73965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17173 + -17173. Factor 1\/3*k**5 - 1\/3*k**3 - 2\/3*k**2 + 0 + 2\/3*k**4 + r*k.\nAnswer: k**2*(k - 1)*(k + 1)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - 3*y + 8, 3*u + 25*y - 8 = 24*y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmat when four letters picked without replacement from {t: 2, a: 2, m: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 109169, 436746, 982755, 1747220, 2730165, 3931614, 5351591, 6990120?\n\"Answer: 4*h**3 + 109192*h**2 - 27*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 11*c**2 + 4*c - 34. Let v be k(11). Let f be -1 + (42\/v)\/7. What is the smallest value in -0.3, f, 2, -2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 18 = 3*i. Let q be ((-3)\/9)\/(2 - 1). Which is the nearest to q? (a) 5 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28583831483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -1532913 and -1532912 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -883 by -2.\nAnswer: 883\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35800 is divided by 17868?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.4, 1467?\nAnswer: 1467","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*y**5 + 5452*y**4 - 54300*y**3 - 166460*y**2 + 157928*y + 57408 = 0. What is y?\nAnswer: -3, -2\/7, 1, 13, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (47340\/(-4208))\/((-280)\/(-32))?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -1399*g - 242136. Determine w(-173).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/11, -2\/13, 2, 5, 1\/3 in decreasing order.\nAnswer: 5, 2, 5\/11, 1\/3, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -23 (b) -0.2 (c) 0.01 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x. Let c(f) = -60233*f**2 - 8*f + 1. What is p(c(j))?\nAnswer: 240932*j**2 + 32*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123 + 92 - 4*g + 142 - 359.\nAnswer: -4*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-786)\/(-4))\/((-62)\/1302 - 2\/(-24)).\nAnswer: 2, 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 747516633 to the power of 1\/2, to the nearest integer?\nAnswer: 27341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2352 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1299*o - 3472*o - 80401 = 0 for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 552*c**2 + 7*c + 1. Let v be q(-7). Round v to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -2 + -7 + 4 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 35\/(-201) - (4 + 119\/(-28)). Let r = c - -34\/67. Is 0 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 1001001001101?\nAnswer: 1001001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 5:07 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -270 and 232?\nAnswer: -62640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32\/135 - 1\/27. Which is the closest to 2? (a) -2 (b) -0.1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 0.9 (b) 0.91 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 8*u + 3*u. Let r(j) = 4*j**2. Calculate g(r(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*x**4 - 3 + 2*x**3 - x**2 - 7*x**4 + 4 as s + f*x**4 + a*x**2 + i*x + m*x**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*u - 1381 - 2*u**4 + 1381 wrt u.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -65*p - 174. Determine q(-9).\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-10)*(-4)\/6. Let k = 1 + -1.5. Suppose 2*v = 3*j + 8, 3*v - j = 2*v + 2. Which is the second smallest value? (a) i (b) k (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/4 - 58\/(-8). Suppose -2*a - 1 = -y. Suppose -l = 2*l - 21. Calculate the remainder when l is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -298 + 130*d**2 + 2\/3*d**3 + 0*d - 12*d**4. Find the third derivative of q(m) wrt m.\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/30 and -143\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(20\/9)*o*o**(-4\/15)*(o**(-6\/11))**38 assuming o is positive.\nAnswer: o**(-8797\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 392966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4063339*w**4 - 24*w**2 + 196772703*w wrt w?\nAnswer: -48760068*w**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2171 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 2*c**3 - 3*c**2\/2 - 2*c + 614. Let a(p) = 7*p**2 - 3*p - 2. Determine -4*a(j) + 5*t(j).\nAnswer: 2*j**2 - 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -17. Let z = 7 - m. Let p = 2.7 + -2.5. Which is the biggest value? (a) -0.6 (b) z (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 8*k + 4*k - 10, -3*i + 5 = -4*k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 85492123693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8347 - 8346.8. Which is the third smallest value? (a) u (b) -2\/13 (c) -0.12 (d) -4\/7 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*x + 3*s = 30*x + 12, 4*s = 16 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.82362 hours in milliseconds?\nAnswer: 82165032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 + 746*l\/5 + 1532.\nAnswer: -2*(l - 383)*(l + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 5:19 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 49*q**2 + 14 - 4)*(0*q + 4*q - 5*q).\nAnswer: 49*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2069 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -18*h**4\/5 + 2924*h**3\/5 + 229934*h**2\/5 + 1777104*h\/5 + 2219112\/5 = 0.\nAnswer: -51, -7, -14\/9, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/25)\/(12\/6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17519, -17534, -17559, -17594, -17639, -17694?\nAnswer: -17759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 138 - 135. Suppose k*s - 22 + 7 = 0, -4*l + 4*s = 20. Let w(m) = m. Give w(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3846 - 42702?\nAnswer: -38856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 52731370.\nAnswer: 52731369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3387.91 times -7?\nAnswer: 23715.37","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 325393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -67, -68, -45, 8, 97, 228?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1088\/(-1088)*2\/(-6))\/((-2)\/(-438)*-1)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**4 + 537*z**3 - 16185*z**2 + 15651*z = 0. Calculate z.\nAnswer: 0, 1, 37, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3) + (-26)\/(-3). Let m(o) = 4*o**2 - 10*o + 11. Let i be m(r). What is the highest common factor of i and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 62 - 54 + 115 = u + 59, 5*y - 22 = -12*u for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.059 + -1.941. What is the nearest to -1\/4 in -0.2, y, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 8 = -5. Suppose p = -c + 5. Let x(y) = y**2 + 9 + 3*y**2 - 4 + y**3 - 2*y**3. Determine x(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 645 = 3232\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4528*q + 1257*q = 614*q + 60900 + 71190 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 - 3*b**2 + 3*b. Let q be j(-5). Suppose c + 11*d = 16*d + q, 0 = 5*c + 4*d - 655. What is the smallest common multiple of 12 and c?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 495, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3226*i + 3190*i + 216 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, 17.48, -0.5, -0.1, 73?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/63*(-18)\/24?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12493, 11884, 10869, 9448, 7621, 5388?\nAnswer: 2749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17391 + -17388. Let j = 4.7 - 5. Which is the nearest to -2? (a) f (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 4*u + 1520 = 1632, -66 = -12*p + 3*u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d. Let g(c) = -20*c. Let s(y) = 6*g(y) - 17*p(y). Let o(k) = 17*k**2. What is o(s(q))?\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 36. Let g = -6.1 + p. What is the closest to g in -2\/3, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7051625 + -984.\nAnswer: 7050641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 7 = -2. Let q be (-4 - l) + 3 - 2. Suppose 4*w - 20 = -d - q*d, 40 = 5*w + 5*d. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 23532394 and 23532375 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 1:52 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from glpilwlwll. What is prob of sequence igl?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*c**3*n**3 + c**3*n*u**2 + 2*c*n**2*u - 2*n**3*u**3 - 85*n**2*u**3 wrt n.\nAnswer: -186*c**3 - 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1275950476?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696 is divided by 100.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13312.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5, -42, -205, -554, -1149, -2050, -3317, -5010?\n\"Answer: -10*t**3 - 3*t**2 + 42*t - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/(-495)*15*(-3)\/(-12))\/((-1)\/134)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -7757120?\nAnswer: 7757123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*q + 14 = 0, -5*q + 2 = -2*a - 0. Let m be -4 + (a - (-15)\/3). What is the tens digit of 3\/m - (366\/(-5))\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2. Let i(m) = -6*m**2. Let q = -427 + 444. Let j(g) = q*h(g) - 6*i(g). Let w(u) = 95*u**2. Determine w(j(o)).\nAnswer: 380*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 4*f**2 + 9*f - 18. Let w be v(4). Let p(t) = 2*t**2 - 31*t + 53. What is the hundreds digit of p(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -16*s**3 + 3*s + 3. Let w = -27788 + 27787. Give f(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -715*g**2*j*v**3 - g**2*j*v**2 + 2*g**2*j + 80*g**2*v**2 + 2*g*v**2 wrt v?\nAnswer: -4290*g**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*a - 14 = 0, -5*a + 6 = -5*f - 4. Suppose c + 4*d = -f + 3, d + 29 = 2*c. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8423b (base 14) to base 13.\nAnswer: b2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82864985?\nAnswer: 5, 7, 19, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 765.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 7, a: 1, x: 2}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.53 - 206651723?\nAnswer: -206651623.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/sqrt(12) + sqrt(12)\/sqrt(6) + 0 + 3*(-4 + sqrt(32) + -5 + sqrt(8)) + 3)*4)**2.\nAnswer: -14976*sqrt(2) + 21384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*(-2 + 5 + sqrt(405) + sqrt(405))**2 - (-4*(sqrt(90)*-1)\/sqrt(2))**2).\nAnswer: 108*sqrt(5) + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -50a7 (base 16) to base 9\nAnswer: -31281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2992 = -3070*f + 2883*f for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(1\/4)*v*v*((v\/v**(-3\/8))\/v)\/v)**(1\/3) assuming v is positive.\nAnswer: v**(17\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4515.653 decades in years?\nAnswer: 45156.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i**3 - 231*i**2 - 47*i - 56. Give d(-46).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 12 = 10*x. Let a(y) = -1 - 8*y**2 + 9*y**2 - x*y**2 - 10*y. Let v be a(-8). What is the greatest common divisor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -5*s**5 - 21*s**3 + 52*s**2. What is the derivative of n(x) wrt x?\nAnswer: -600*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25725, 25695, 25663, 25629, 25593, 25555, 25515?\n\"Answer: -y**2 - 27*y + 25753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554645363?\nAnswer: 67, 617, 13417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(637) + sqrt(13) + sqrt(65)\/sqrt(45))**2*-3.\nAnswer: -8125\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/87)*d**36*d*d assuming d is positive.\nAnswer: d**(3304\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*l - 126. Solve l = -5*z + 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148, -145, -142?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 623 = 42*m + 77 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(30) + (sqrt(300)*-2 - sqrt(300))\/sqrt(10)))\/((sqrt(40) + sqrt(40)*-2)*1).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5440\/(-480) - -2)*72\/14.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21438 and 2451078?\nAnswer: 7353234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 3*i**4\/5 + 3*i**3 - 63*i**2\/5 + 69*i\/5 - 24\/5 = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1306, -2941, -4578, -6217, -7858, -9501?\n\"Answer: -g**2 - 1632*g + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) -16\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*m**2 - 6*m**2 - 26*m**2)*(-2*m**2 + 4*m**2 - 3*m**2) - m**4 - 3*m**4 + 2*m**4 as q + t*m**4 + o*m**3 + j*m**2 + u*m and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*j - 4921*j**3 - 21*j + 8*j.\nAnswer: -4921*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5727\/69 + 13\/(-1). Put -7, w, 4, 5 in increasing order.\nAnswer: -7, 4, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -193753000 to the nearest one million.\nAnswer: -194000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*f = -367*f - 30 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 28690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 49 = -5*v, -h - v - 5 = -18. What is the greatest common divisor of 12 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (3 - 6) - -9. Suppose r = -g + 4*g. Calculate the highest common divisor of 6 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (133*a - 283*a + 153*a - 2690)*((0 - 4 + 2)*(4 + 3 - 3) - 1 + 3 + 2).\nAnswer: -12*a + 10760","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20042916 and 2328.\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -215 + 161. Let l = c + 77. Let o = 3 + -2. What is the least common multiple of l and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2\/17 + 1838*d\/17 + 11100\/17 = 0. Calculate d.\nAnswer: -6, 925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70177.0300244 + 70177. Let i = 1 - 0.97. Let x = i + k. Round x to 6 dps.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 758, 2901, 6480, 11501, 17970, 25893, 35276, 46125?\n\"Answer: w**3 + 712*w**2 + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 22030012 (base 4) to base 16\nAnswer: a306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -109, 2\/15, -73, 32\/11?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11564 and 1298.\nAnswer: 127204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*r - 4, -3*r + 1 = -c + 3*c. Let f = -38 - -40. Let o be f\/(4 + -2)*-2. Is c bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-60)\/72)\/((-135)\/(-243)). Suppose 0 = 3*x - 1 + 4. What is the nearest to x in c, -0.4, 3\/7, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15236 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -20*g - 49. What is c(17)?\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*u - 3*u + 509, -3*u = 4*b - 1531. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 139*m**2 + 68*m**2 - 44*m**2 + (-m - 1 + 1)*(-5*m - 29 + 29) + 0*m**2 + 3*m**2 - m**2.\nAnswer: 170*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (-1 + 1))\/(845\/(-10)). Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*y = 5*q - 22, 22 = 4*y - q. Suppose -5*j + 4*j - 2 = 5*b, 5*b + 5*j = -10. Solve -3*v = 5*t - 6, 2*t - y*t = b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.03939 - 0.02289. What is h rounded to 2 decimal places?\nAnswer: 1.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k - 16*k = 0. Solve 0 = s + 2*q + 3, 0 = -q - k*q + 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 776*c**2*o**2 + 404*c**2*o + 5*c*o**2 + 3*o**2 + 3016139*o - 2 wrt c?\nAnswer: 1552*c*o**2 + 808*c*o + 5*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 17*q**2 + 2*q - 61. Is x(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kiik when four letters picked without replacement from {h: 3, i: 2, k: 3, u: 1, v: 1, e: 8}?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, -1.377, -4, 134?\nAnswer: -1.377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 175 (b) 5 (c) 3 (d) 2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*f - 2, -3*r + 38 = 4*f. Suppose 2*b + 2*s = 14, -3*b - 2*b - 3*s + 37 = 0. Let j = r - b. Solve -o - 1 = q, -j*o - 8 = -q - 21 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -745 plus 16403?\nAnswer: 15658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrdx when four letters picked without replacement from xrxxdxrxw.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -813357 divided by 271119?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c + 5*c + 23*c + 32*c in the form g + h*c and give h.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -46.1, 1\/4, 258?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -7 (c) 0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1120050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 204 + -3?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-14))\/((-5)\/35).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 11, t: 4, o: 1, h: 1, b: 1}. What is prob of picking 1 b and 3 v?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/53000 and 101\/10600.\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.37, 0, 0.5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*p + 39*p - 1017 - 639 = 0 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 2*s + 6. Let f be t(-4). Let o = -29 - f. Let z = o + 30. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 8. Let w be r\/3 + (-1 - -11). Solve 0 = 2*c + w - 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 30. Suppose -5*u - 5*p = -65, 0*p = -3*u + p + 19. Sort -5, q, u.\nAnswer: -5, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 88 = 9*z. Let h = z - 22. Solve 0*n + 3*n - 8 = -4*c, c + 5*n - 2 = h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + -6)\/((3\/2)\/(-3)). What is the greatest common factor of h and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246317*k**3 + 738948*k**3 - 246325*k**3 - 246313*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -6*i + 43. Suppose 12*s = i*s. Factor s*g + 2\/5*g**3 - 2\/5*g**2 + 0.\nAnswer: 2*g**2*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30920958 by -15460479.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14894657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 425 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.414 + -4.586. Which is the closest to -0.7? (a) 0.3 (b) 1\/7 (c) 0.1 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100760 and 360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((171\/(-1330))\/((-150)\/125))\/(27\/(-6))?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -60.869*0.072\nAnswer: -4.382568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3073 (base 8) in base 9?\nAnswer: -2162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 230776189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 692181.7cm to micrometers.\nAnswer: 6921817000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/73 or 63?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0606 - -0.06209. What is b rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**2 + 24*n + 1. Let z be f(-8). Let j be z\/(-4 + (-41)\/(-10)). Solve k + 7 = -4*h + 20, -2*k + j = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*g - 420 = 45*g. What are the prime factors of g?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 41*a - 193. Give r(-36).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2871 + -2861. Solve -8*m = -y - 3*m + c, -4*y = -2*m - 22 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8 = -5*h + 14, -46 = -5*s + 3*h. Suppose -4*g + 77 = -211. What is the greatest common divisor of g and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94875958 to the nearest integer?\nAnswer: 9740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081567 bigger than 1081565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4\/2 + 1375*g**3 + 19217*g**2\/2 + 21950*g + 16458 = 0. Calculate g.\nAnswer: -2743, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 82b3293?\nAnswer: 82b3291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -0.01 (c) 5 (d) 22\/3 (e) 1\/8 (f) 73\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-25))\/((-4)\/(-2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 24. Let q(o) = 4*o - 5*o - o**y + 3*o**2. Calculate q(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7488600 to the nearest integer?\nAnswer: 2737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -19036754 >= -19036754?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188877*z**2 + 109762*z**2 + 41034*z**2.\nAnswer: 339673*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 8. Let h(q) = -q - 1. Calculate the remainder when (-248)\/t - 20\/(-90) is divided by h(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 593*k**2 - 20*k - 5. Let g(p) = 9*p**2 + 4*p + 1. Give 5*g(n) + z(n).\nAnswer: 638*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + z + 26, 5*v + z + 0*z = 38. Let i(o) = -13*o - 71. Calculate the smallest common multiple of v and i(-7).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-8\/7)\/s*s**(-2\/5)*s)\/(s*s**(-3)*s\/(s\/((s*s\/s**(-2))\/s))))**(3\/7) assuming s is positive.\nAnswer: s**(-162\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and (30\/(-6))\/(-5) + 492*(18 - 11)?\nAnswer: 41340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (1 - (-3 - (-4 + 3)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -180500*t**4 + 114081700*t**3 - 18027610445*t**2 + 569207640*t - 4493520 = 0. What is t?\nAnswer: 3\/190, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10993.7908 and -0.03?\nAnswer: -329.813724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - s + 1. Let v be u(2). Suppose v*w = -w + 8. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4432410?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.634 - -0.234. Let h = -5 + 5. What is the nearest to h in -0.5, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83730 * -1.\nAnswer: 83730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 6*r**2 - 4*r - 1. Let x(v) = 31*v**2 - 20*v - 4. Let d(n) = 11*k(n) - 2*x(n). Is d(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3391*y**2 + 3 + 4 + 9549*y**2 + 2*y - 6 in the form u + x*y**2 + f*y and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13184*h**2*i + 2095*h**2 + 2*h*i - 644*i + 596 wrt i?\nAnswer: -13184*h**2 + 2*h - 644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*t = 106*t + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 6*b - 0*b - 4*x, 29*b - 30*x = 27*b + 442 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 8, -3*q + 145 = g + 4*g. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 590370, 590368, 590364, 590358, 590350, 590340, 590328?\n\"Answer: -b**2 + b + 590370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9825 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1401704494?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29.2 - -9.8. Let m = 19.1 + p. Which is the nearest to 5? (a) 0 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -186, 5, 339, -4, -1, 2, 1 in descending order.\nAnswer: 339, 5, 2, 1, -1, -4, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/(4*70\/(-200)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 182091, 364108, 546125, 728142?\n\"Answer: 182017*t + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.1, 0.3, -335?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.5768 times -0.5\nAnswer: -0.7884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -22*u**3 - 6*u**2 + 30*u - 14. Let a(p) = -p**3 + p**2 - p - 1. Let z(n) = 6*a(n) - b(n). Suppose z(j) = 0. Calculate j.\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1120 - 746. Calculate the remainder when g is divided by 127.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3672053 is divided by 4022?\nAnswer: 3989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-86)\/(-2279) - 20952\/(-954)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*s + 33*s - 4 + 4 - 1.\nAnswer: 57*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50139067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31561*l**6 + 5*l**2 - 171*l + 4?\nAnswer: 3787320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 392 and 1283114?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 4*b - b)*(-3*b - 2 + 2 + 39 - 17*b - 39 + 0 + 0 + b + (-2*b + b + 3*b)*(-2 - 3 + 6) + 3*b + 0*b - b).\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l - 2*l - 2*l - 24*l**2 as y*l + r*l**2 + n and give r.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 504390 and 129.\nAnswer: 504390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -26*n - 22 - 26*n - 27*n + 69*n. Let p(w) = -w. Determine h(p(u)).\nAnswer: 10*u - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r + 1. Let x(j) = -18*j + 3. Give 5*u(y) + x(y).\nAnswer: -3*y + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 334 and 16?\nAnswer: 2672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -11*n**5\/20 - 61*n**2. Let h(y) = y. Calculate h(r(k)).\nAnswer: -33*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 507298 a multiple of 690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 11*s**2 - 6*s - 9. Let n be x(-11). Let w = n - -42. What is the greatest common divisor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9\/7 + 38\/35. Let z = 3.31 - 11.31. Sort z, -3\/5, k, 2 in decreasing order.\nAnswer: 2, k, -3\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*-20.\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 0.4338?\nAnswer: -0.6338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 598410 a multiple of 366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b + 8845825. Suppose 2*o + 4 = -2*v, 2*v - v + 3*o = -6. Let i be m(v). Suppose 4*u = -26605825 + i. What is u rounded to the nearest 100000?\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.31 - 0.71. Let h = 2 + -12. Let f be 57\/(-135) - 2\/h. Which is the second biggest value? (a) z (b) 0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o**3 + 5*o**2 + 5*o - 4. Let s(k) = 4*k**3 + 5*k**2 + 6*k - 5. Suppose -5*f - 25 = -10*f. Let a(w) = f*g(w) - 4*s(w). Suppose a(l) = 0. What is l?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143 = -96*f + 1489 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 1. Let z(o) = -o**2 + 4*o - 3. Let m be z(n). Solve m*v = -3*v + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -29. Sort -1\/6, d, -1\/5 in descending order.\nAnswer: -1\/6, -1\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6207*w + 81485. Calculate y(13).\nAnswer: 794","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2322 + -2315. Let r = -16 - -26. Calculate the lowest common multiple of b and r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5844863 is divided by 6950?\nAnswer: 6863","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -404375 smaller than -404467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3133*w - 2. Let u(d) = -4*d**2. What is u(q(n))?\nAnswer: -39262756*n**2 - 50128*n - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72893 - 48914. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2.1. Which is the nearest to k? (a) -0.1 (b) 2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401918.\nAnswer: 2, 11, 18269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/13796 and -20\/31041?\nAnswer: 124164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4729, -4677, -4553, -4339, -4017, -3569, -2977, -2223?\nAnswer: -1289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2639 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -640025, -1280547, -1921083, -2561639, -3202221, -3842835?\n\"Answer: -i**3 - i**2 - 640512*i + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*1\/2*(-15)\/(-6). Solve 3*v + 3*a = 0, v - 6 = -b*a + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 27, 4, 10 in descending order.\nAnswer: 27, 10, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 16*l**2 - 1. Calculate i(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2, 2\/199315 in descending order.\nAnswer: 2, 0.5, 2\/199315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 + 100 + 6 + 5?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1515, -12410, -42025, -99720, -194855, -336790, -534885, -798500?\nAnswer: -1136995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 2868?\nAnswer: 31548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 3:35 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (12 - 31 - -49)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.56 + 0.44. Is h greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*x + 164, 130 = -3*l - 2*x + 4*x. Let a = 13 + l. What is a rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c + 13*c - 4*c)*(c + c + 0*c) to the form x*c + b*c**2 + j and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 669114?\nAnswer: 2, 3, 12391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2 - 2 = 2*l, 0 = 4*l - c + 20. Let s be l\/18*(-3)\/(-6). Sort s, 4, -4 in decreasing order.\nAnswer: 4, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6}. What is prob of picking 4 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**2 - 7*c + 7*c)*(-c**2 - c**2 + 3*c**2 + (0 - c + 0)*(3*c - c - 3*c) + 0*c**2 - 4*c**2 + 3*c**2).\nAnswer: -5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28512 and 660960?\nAnswer: 7270560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -1638\/11 (c) -4 (d) 2 (e) 1\/107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.189775093 to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i**2 + 4*i**2 - 12*i**2 + 308*i**3.\nAnswer: 308*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6*j**3 + 503*j**2 + 2284*j - 549. What is q(-79)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 239 (base 10) in base 11?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: What is prob of sequence bbbb when four letters picked without replacement from {b: 13, a: 5}?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z**2 + 97*z + 45. Let c be g(-16). Solve c*i - 22*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = 4*s + 2*a, -5*s + 3*a = 2*a + 115. Let j be (12\/(-15))\/4 + (-174)\/5. Let c = s - j. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffquqlulqulflll.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, -24, -0.32, 4\/27, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 27. Let t be n(9). Suppose -145 = -t*d + 17. Solve 0 = -5*g - d + 14 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.006, 0.5, -132154, 4, -5.\nAnswer: -132154, -5, -0.006, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57.44 + -52.44. Let o(i) = -2*i + 38. Let p be o(9). Is p bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4 = 14. Suppose 7*c = 4*c. Find the third derivative of c*w**f + 0*w**6 + 2*w**6 + 2*w**2 wrt w.\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2. Let d(r) = 37697*r**2. What is d(h(v))?\nAnswer: 150788*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409*n - 261 + 801 = -687 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 2 = -2*w, -9*w = 4*i - 7*w + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k + 237 - 292 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 7 = 3*d, -2*m + 0*m - 3*d - 32 = 0. Let o(w) = w**2 + 10*w - 26. List the prime factors of o(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 10.3067765097008.\nAnswer: 10.5067765097008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*z - 2261985, 5*z + 503550 = -3*u - 853675. Round u to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85323606?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(2\/41*1). Let c be 0 + 1*1\/u. Let l = 373\/984 + c. Sort 5, 2, l.\nAnswer: l, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8, -4, -20, -40?\n\"Answer: -2*z**2 - 6*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/31320 and -61\/3248.\nAnswer: 438480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39469422 and 9?\nAnswer: 118408266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -10, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -9, 1, -14, 2\/13 in ascending order.\nAnswer: -14, -9, -5\/3, 2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 = b, b + 5 = 5*i - 4. Let l(x) = 4*x - 6. Let k(u) = 1. Let r(o) = 5*k(o) + l(o). What are the prime factors of r(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) -3\/44 (c) 0.4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -2086\nAnswer: -625.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(200\/264)\/5.\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1362 divide 15109204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26\/5 - -5. Which is smaller: 0.02 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vgcrrcrer. Give prob of sequence eccv.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.404875 kilometers in nanometers?\nAnswer: 2404875000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71214 is divided by 656?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*(5 + 6*(-1*sqrt(68)*-4 - sqrt(68))).\nAnswer: -36*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6425266 by -20.\nAnswer: -3212633\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7524741 divided by -18859?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 9*b + 4*b + (-4 - 4*b + 4)*(0 + 4 - 3) + b + 2*b - b)*(1 - 2 + 3).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 6:11 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 965202417*l**4 - l**2 - 19*l - 924559.\nAnswer: 23164858008*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 507858 and 1532?\nAnswer: 1015716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.0496426 - 0.12\nAnswer: -0.0703574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/5)\/(-48*((-663)\/520)\/51).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594 is divided by 78?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 7. Suppose o*p = 2*m - 0*p - 68, -3*m = -3*p - 105. Let q = m - 19. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0, -35169, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5333 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 - a - 2. Let p be w(2). What is the remainder when 55 is divided by (-38)\/(-8)*p + -5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 - 20*g + 8. Let m(j) = j**2 + 7*j - 3. Let n(w) = 3*h(w) + 8*m(w). What is the second derivative of n(z) wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 2*u + 65 = 0. Let m be (-3 - (-4 - 0)) + -13. Let c = u + m. Solve -c - 4 = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6236 + -2400. What are the prime factors of z?\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31367004 < 125468011\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 795*c + 14725 = -17705 + 7785 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**2\/7 + 2088*m\/7 + 231680\/7 = 0.\nAnswer: -362, -160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1952 and 55820612.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6889.94 - -6952. Let z = 63 - s. Round z to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 12, 2*x = 3*i + 35. Does 8 divide x\/231 - 1676\/(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36428*x - 202*x**3 + 36381*x + 200*x**3 + 36425*x - 109234*x.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/4134 and -5\/2756.\nAnswer: 8268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/828 and -41\/14.\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 + 38. Let t(a) be the second derivative of -1\/6*a**4 + d + 0*a**5 + 1\/10*a**6 + 0*a**3 - a + 0*a**2. What is the third derivative of t(x) wrt x?\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/55 in -1.22, 1\/5, 46?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*l**3\/5 + 864*l**2\/5 + 248*l\/5.\nAnswer: -2*l*(l - 62)*(7*l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - l - 18 = -5*l, y + 7350*l = y + 7349*l + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -15 times -94844\nAnswer: 1422660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**13\/l*l)\/l*l\/(l*l*l**(-3\/7)))\/(l**(5\/2))**(-21\/5))**44 assuming l is positive.\nAnswer: l**(6754\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n. Let d(y) be the third derivative of -y**5\/30 - 3*y**2. Calculate c(d(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1607 - -2511. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j - 3. Let x be f(5). Let m be (-1)\/(((-7)\/2)\/x). Let t be 1\/5 + (-23)\/115. Which is the closest to t? (a) -6 (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75765651*q**4 - 45158612*q**2 wrt q?\nAnswer: -1818375624*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*k = 5*l + 69, k - 23 = -5*l. Let o = k + -21. Let n(q) = -2*q**2 - q. Let c(h) = -h. Give o*c(a) - n(a).\nAnswer: 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2679282054 to the nearest integer?\nAnswer: 51762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2658 - -173?\nAnswer: -2475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30068*h + 30071*h + 4*f + 2 = 0, -h - 4*f + 2 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s. Let x(z) = -z**2 - 4*z**2 + 8*z**2 + 2*z**2. Determine y(x(i)).\nAnswer: 25*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -3*l - 6, -2*f - 5 = 3*l - 4*l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-21)\/6)\/(2\/(-4)). Suppose -5 = -4*x + m. Factor -5*z**x + 2*z**2 - 3*z**3 + 4*z**3 + 2*z**3.\nAnswer: -2*z**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1 - -2) + 372)*1. Find the second derivative of 713*v**2 - 365*v**2 + 17*v - j*v**2 wrt v.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -18 - -16 - -16.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*i = 0. Suppose c - j = 26, i*c = -c - 4*j + 11. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24376 + 121884\/5. Factor -1\/5*h**3 - 4\/5*h - n*h**2 + 0.\nAnswer: -h*(h + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2920708863?\nAnswer: 3, 324523207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*c + 180. Let v be 57 + 6\/c + (-11)\/(-5). Suppose -w + 59 - 195 = -2*n, 0 = n - 5*w - v. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, d: 5}. Give prob of picking 3 d.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 56*u**2 + 4237*u + 237235. Calculate o(-56).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 20*p. Let f(t) = -t**2 + 7*t. Suppose 3*k - 78 = -4*u - 28, 2*u = 3*k - 38. Let m(y) = y. Let a(l) = k*m(l) - 2*f(l). Calculate n(a(z)).\nAnswer: 40*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 13, m: 1, j: 3, b: 3}. Give prob of picking 1 m and 1 b.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -8. Suppose 3*c - 2*y + 3 = 0, n*c - 2*c + 3*y = 2. Let q = -148\/5 - -30. Sort c, q, 2\/3 in descending order.\nAnswer: 2\/3, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-7) + 3753\/973. Solve 4*p + 13 = -c - 2, v*p = -4*c - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28.021 + -0.021. Let o = 27.9 - i. Suppose 3*f = -4*z + f - 62, -5*z + 5*f - 55 = 0. Which is greater: z or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*n - 13 = 0, -5*w + 15 = -5*n - 5. Solve 2*f + 12 = w*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444769655 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**5\/60 + 2*w**2 - 441*w. Let g(v) be the third derivative of 19*v**4\/24 - v**2. Give h(g(f)).\nAnswer: -361*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52751\/(-812) + 65)*2*(4 - 3)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -154003.07565199 - -154194.07565. Let p = 191 - u. What is p rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 106.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r**2 + 88645111*r - 88645111*r.\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 15*i**2 - 19*i - 15. Let f be x(-14). Suppose 50*z = f*z + 110. Let n be (-1 + (-62)\/(-6))*6\/z. Is -2 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -90 + 92. Suppose -4*b + 58 = v*w, 2*w - 2*b + 177 = 7*w. Sort 5, w, -5 in ascending order.\nAnswer: -5, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -44 + 26 + (2 - 1) + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -715 = -4*j - 3*r - 682, 3*j = 5*r - 26 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 7*f**4 - 3*f + 1. Let j(u) = -7*u**4 + 4*u - 1. Let y(p) = -3*j(p) - 4*s(p). Differentiate y(r) wrt r.\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2)*1137*28\/(-42). Let u = f + -204. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 + 80. Let o = -25.3 + v. Let k = -0.13 - 0.87. Which is the nearest to 1? (a) k (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -12, 4*x - 2*x = 5*k + 509. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 - -3 - (-20 + 28 + -8 - (3 + -1))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1914 - -8704. Does 35 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15590 (base 13) in base 16?\nAnswer: 9e3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**2 - 13 + 3 - 2 to the form f*w**2 + n + i*w and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 4*z + 2. Let c be j(4). Let a be 1 + (4 - 2 - c). Sort a, -1, 5 in decreasing order.\nAnswer: 5, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**2\/2 + j - 13. Give v(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + 1 + (-4*(0 + sqrt(13)))**2 + sqrt(117)\/(sqrt(18)\/sqrt(2)) + -2 - 5*(-4 + -4*(sqrt(39)\/sqrt(3) + -3))**2.\nAnswer: -1153 + 332*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 7 (b) -563 (c) 1\/3 (d) 4 (e) 0.064\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (4 + -6 + -31 + 26)) + 22\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -40708100 rounded to the nearest one hundred thousand?\nAnswer: -40700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -203771*w**4 - 46*w + 34657758 wrt w.\nAnswer: -815084*w**3 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519*j + 81 = -510*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/21 and ((-2387)\/924)\/(14\/8 - 0).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22207118 is divided by 229.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 44. Suppose 6*a = 7*a + m. Let z be a\/(-8) + 7\/28. Solve 0 = c - 0*t - t, -z*t = 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 197*b**6*m**3 + b**2*m**3 - 155*b*m - 2*m**3 wrt b?\nAnswer: 23640*b**3*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9950477, -19900938, -29851399, -39801860, -49752321?\n\"Answer: -9950461*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -399226 and -0.11?\nAnswer: 43914.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-5)*(-6080)\/32)\/(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 11) to base 13\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnbninninnynnb. What is prob of picking 1 n, 1 y, and 2 i?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/114997 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*q - 4*q + 5811. Let m = 452 - q. Let v(g) = g - 4. What is v(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -429, -5, -543 in decreasing order.\nAnswer: -5, -10, -429, -543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g = -2*g - 27 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**8\/3024 + 19*j**7\/378 - 28*j**6\/9 + 96*j**5 - 1280*j**4 - 6144*j**3 - 139*j**2. Factor o(k).\nAnswer: -(k - 24)**4*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 854103010?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3*b**2 + 40 + 34\/3*b = 0. What is b?\nAnswer: -30, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 295 - -782. Let n = 1077.0001646 - c. What is n rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*k + 20 = 0. Suppose 5*j = -5*h - k, 4*j - 3*h = 9 + 4. Solve f = -0*f + j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84083668 is divided by 1782?\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*s = 942585 - 945840 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 91*p**3 + 8. Let z(k) = -92*k**3 - 7. Determine -5*i(l) - 6*z(l).\nAnswer: 97*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 10*r - 56. Let g be z(14). Suppose 55*a - 33*a - 110 = g. Solve -5*b = a*w - 5, 2*w + 3*b = 6*b + 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81)\/729 + (-7220)\/(-180)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**5 - 358*s**4 - 2420*s**3 - 2064*s**2 = 0.\nAnswer: -172, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -378 - 380 + 83*z + 757 to the form r + p*z and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17577*h**4 - 6141*h**2 - 2?\nAnswer: -421848*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 1:38 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1766887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 630529511 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**4 + 280*q**3 - 4*q - 13 wrt q?\nAnswer: -12*q**2 + 1680*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73.027 - -1.973. Let p = -664321.9843 - -664247. Let v = p + f. What is v rounded to 3 decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -820 + 820. Solve l*b + 12 = 4*f + 2*b, -3*b = f + 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1444 and 22.\nAnswer: 15884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 502 - 10211003?\nAnswer: -10210101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 495 = 12*t, 7*f + 194 - 61 = t + 72 for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*f - 45 + 3, t - 14 = -f. What is the units digit of ((-4)\/(-16)*-2*f)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5674.59459 minutes to weeks.\nAnswer: 0.5629558125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -116, -14, -4.\nAnswer: -116, -14, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.1 to 0 decimal places.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 4*s**2 - 3*s - 28. Determine w(-6).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259431 is divided by 114?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0*h + 4*h)*(52*h**3 - h**4 - 52*h**3) + 140*h**5 + 135*h**5 - 194*h**5.\nAnswer: 79*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y = 10*y + 9*y. Let a(u) be the first derivative of -u**2\/2 + 23*u + 2. List the prime factors of a(y).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + (sqrt(1375) + (sqrt(1375)*-1 + sqrt(1375) + sqrt(1375))*2)\/(sqrt(45)\/(sqrt(27)\/sqrt(12) - sqrt(9))) + 0.\nAnswer: -15*sqrt(11)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 5*c - 109, 0*c - 3*c = 9. Which is smaller: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -7*u - 6. Let k be (-9)\/2 - 2\/4. Is 6 a factor of o(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvpvvvx. What is prob of sequence xx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2 + 3*u + 20. Let x be r(-6). Let j be (-51)\/(-7) - (-20)\/x. Solve -j*m + 15 = -2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1533755*m - 6084 = 1533599*m for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*g = -63*g + 126*g + 15810. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxyf when four letters picked without replacement from xefxyhfofxy?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*m**3 - 1 + 4*m**3 + m**3 - 2*m**3 + (-m**2 + 3*m**2 - 4*m**2)*(-m - 3*m + 3*m) + (-2*m**2 + 0 + 0)*(10*m + 9 - 9).\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1920271 divided by -1.\nAnswer: 1920271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3963?\nAnswer: 3, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -17. Let t be 2 + (-1 + 4)\/3. Suppose -45 = -t*k - 0*k. Do x and k have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/562? (a) 0 (b) 0.3 (c) 0.015 (d) 6 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 10. Let o(a) = -4*a**5 + 15*a**4 - 31*a**3 + 21*a**2 + 11*a + 10. Let h(i) = -i**3 + i**2 + i + 1. Let w(f) = c*o(f) - 22*h(f). Factor w(m).\nAnswer: -2*(m - 1)**4*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 245 - 301 - 110\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 4:56 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 5:29 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t. Let v = 2022 - 2015. Solve -3*h + 5 + v = t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 694 = 700. Solve 0 = o*m + g + 13, g - 19 = 4*m + m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -23 + (11 - -20)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 + 4*f**2 + 4*f + 1 + 0*f + 8*f**4 + 2*f**2 - 6*f**4. Let r(i) = 3*i**4 + 3*i**3 + 7*i**2 + 5*i + 2. Let u(n) = -4*k(n) + 3*r(n). Factor u(c).\nAnswer: (c - 1)**2*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/20 - -1)\/((-6)\/20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2954, -2955, -2956, -2957, -2958?\nAnswer: -2959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4030.937ml in litres?\nAnswer: 4.030937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308555.\nAnswer: 5, 13, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6555 and 312018.\nAnswer: 1560090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d + 21 = -85*m + 88*m, 3*m - 13 = -4*d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*i**3 - 24757*i**2 + 11*i + 24757*i**2)*(-2 + 4 - 4) - 2*i**3 + 2*i**3 - 2*i**3 as g + q*i**2 + x*i + b*i**3 and give x.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 2242\/(-1708))*15\/(-2). Let c = 3\/244 - x. Calculate the common denominator of c and -53\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -12688455*a. Let k(z) = 68*z**2. What is k(v(n))?\nAnswer: 10947788539517700*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 661.5736l in millilitres?\nAnswer: 661573.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmnm when four letters picked without replacement from imnniminniim?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 66*v - 2192233 + 1072569 - 2418068. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*i - 20*i - 8*i**2)*(0 - 1 - 2)*(-3*i**3 + 3*i**3 - 2*i**3)*(1 + 0 - 2)*(-4 + 2 + 3).\nAnswer: 48*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3512 (base 6) to base 11\nAnswer: -6a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -32, -52, -88, -146, -232, -352?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.98171555 to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*m - 37, -p + 6*m + 14 = 3*m + 66 for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*w - 16 = 0, q - w = 3*q + 8. Let t be (-19)\/7 - 2\/7. Let s = t - 3. Is q bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105434 and 302736?\nAnswer: 134112048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/361, -8, 3\/4, -57 in increasing order.\nAnswer: -57, -8, -4\/361, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k**4)\/k*k*k**5*k**(-14)\/k**(3\/2))**28)**13 assuming k is positive.\nAnswer: k**(-1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8002558?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17665581*w**4 + 14122664*w wrt w?\nAnswer: -211986972*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23267 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/44 - (-400)\/22) + -9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-25)\/15)\/(1\/(-3)). Suppose -4*k = k + 5*d - 5, 45 = h*k - 5*d. Suppose 4*r - 15 = -3*b, 0*b - 5*r = b - k. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 - 298 + 298.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -2\/112625 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1865\/(-4))\/((-6)\/24)?\nAnswer: 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -8*h**2 - 8*h. Suppose 2*u = -4, 3*u = -n + 4*n + 27. Let y(p) = 3*p - 2*p**2 + 5*p**2 + 0*p**2. Let k(b) = n*y(b) - 4*l(b). Factor k(a).\nAnswer: -a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -1\/12*y**4 + 0*y**2 - 41*y - 5\/6*y**3 + 0. Calculate r(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -6. Suppose 19*v - 114 = 4*b + 16*v, 35 = -b + 4*v. Which is bigger: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35121, -140943, -317317, -564243, -881721?\nAnswer: -1269751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17310 + 17315. Which is the biggest value? (a) v (b) -2\/15 (c) 515\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64781742?\nAnswer: 2, 3, 163, 66239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -9428 less than -9423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 25.48m?\nAnswer: 2548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 - 2*i**2)*(-3*i + 3*i - 5*i**3)*(-2 - 4 + 4).\nAnswer: -20*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n. Let v(i) = -19*i. Suppose 2*b - 20 = 4*b - 5*k, -5*k = -3*b - 25. Let r(q) = 13*q. Let o(m) = b*v(m) - 7*r(m). Calculate j(o(f)).\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 125 + 32 = -15 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -779, -15, -3\/8, -1\/38, 1?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2. Suppose -2*v + 6*v = 0. Suppose 0*c - 5*c + 30 = v. Let i(y) = -6 - 5*y + c. Give i(o(x)).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - n - 12, -2*s - 2*s + 28 = -3*n. Let v(p) = 30*p**2 - 2*p - 3. Let h be v(-2). Let o = h + -77. What is the highest common factor of s and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -81 (b) 306 (c) 56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3 - k - 5*k**2 - 2*k**2 + k**3 + 5*k**2 = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*(-1 + sqrt(98)) - (-3 + 2 + sqrt(98)))**2*1*2*3.\nAnswer: -336*sqrt(2) + 2372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j - 3. Let p be u(4). Suppose -4*b + 4*a + 12 = -92, -110 = -p*b - 5*a. Is 20 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(176)*2 + 2 + -1*sqrt(176))**2.\nAnswer: 16*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -263b4?\nAnswer: 263b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 12.95. Which is the nearest to -1? (a) 3\/5 (b) f (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2862.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1753119 times 0.1\nAnswer: 175311.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159 = -89*h + 375 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 5. Calculate the remainder when c(-14) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**3\/6 - 9*z**2\/2 + 8*z. Let r be (-8 + 15 + -1)*(-3)\/2. Let b be 3 + r\/4 + 105\/20. What is t(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1965858084 to the nearest integer?\nAnswer: 44338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*6*(-1)\/2. Let q(l) = -l**3 + 2*l**2 + 5*l - 2. Let s be q(d). Suppose -s*r + 45 = r. Solve -3 = 3*w + r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, -6, -1\/5, 0.5, -5 in decreasing order.\nAnswer: 1, 0.5, -1\/5, -5, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 o, and 1 k when three letters picked without replacement from xxexoetkeyeyxxt?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*i - 5*i + 9*i - 14*i.\nAnswer: -68*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3752610767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 39 (b) -4.2 (c) 0.76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -244211410 (base 5) to base 16\nAnswer: -11c05b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 108*g - 196. Let n = 6 + -2. Let p = 4 + -5. Which is the closest to g? (a) n (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 0)\/((-1)\/(-7)*14). Solve -2*p + a = f, 2*p + 3*a + 6 = 30 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 716 - 1265. Let p = j + 606.5. What is p rounded to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 14620*v**2. Let d(m) = -2*m. Give d(j(c)).\nAnswer: -29240*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 21936 = -3*z + 2*r - 21944, -3 = -3*r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**3 + 48*i**2 + 4*i - 48 = 0.\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o + 3*o + 3 + 8*o**2 + o**3 - 2*o. Let d be s(-7). Let g(k) = -631*k + 5051. Let w be g(8). Solve -2*p - d = -5*u - w*p, -2*p = -8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1327539, -1327532, -1327521, -1327506, -1327487, -1327464, -1327437?\n\"Answer: 2*i**2 + i - 1327542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 - 14*l**2 - 89*l - 411. What is r(-7)?\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 159887012?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**2 + 14344*j - 25718792 = 0?\nAnswer: 3586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4364+-1908025\nAnswer: -1903661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*z - 5*z + 11*z - 1216 = 0. Solve -y + 7 = -4*j, j + 9*y = z*y - 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 175, 231?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1952300796?\nAnswer: 2, 3, 59, 89, 30983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in milligrams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150*v**4 + 2*v**2 - v**3 - 48 + 313 + 2*v**3 - 173*v**4 + 365*v**4 wrt v?\nAnswer: 1008*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**5\/120 + 11*t**4\/24 + t**3\/2 - 4*t. Let y(m) be the second derivative of n(m). Give y(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -261 - -429. Let w = 146 - 118. Suppose 0 = -o - 4*t + w, 5*o + 2*t = -50 + 172. Calculate the greatest common factor of x and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 1.08 (c) 4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9576, 19143, 28716, 38295, 47880, 57471?\nAnswer: 67068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -704 divided by 176?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (268\/938)\/(2\/21). Let a(h) = -h**2 + 11*h - 11. Let m be a(9). Let t be (-17)\/(-3) + m\/21. Solve -s - t = -f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/2, 3, 98 in descending order.\nAnswer: 98, 3, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**3\/5 - 7228*n**2\/15 + 16894*n\/15 - 4828\/15 = 0.\nAnswer: -1207, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.34, 3\/34, 0, 0.2, 3 in increasing order.\nAnswer: -1.34, 0, 3\/34, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2*4\/(-2). Let a be (-5)\/(-35)*(-21)\/(-2). Sort f, 10, a in ascending order.\nAnswer: f, a, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 6*r**2 + 3. Let n be l(6). Suppose 0 = -o + 5, -3*h - n*o = -27. Solve h*k + 16 + 4 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (1196\/(-8))\/(-13)*(62 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 72*t - 88. Let s be y(2). What is the highest common divisor of 574 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*d = 140, -24*x = -25*x - d + 29. Calculate the highest common factor of 56 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*((h\/(h\/h**(5\/6)))\/h*h)\/h*h)\/(h**(-10)*h))**(-12\/17))**(-4\/13))**(-5\/6) assuming h is positive.\nAnswer: h**(-100\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61193.\nAnswer: 11, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2168391 divided by -3\nAnswer: 722797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006809201 rounded to five decimal places?\nAnswer: 0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**7\/315 - v**4\/6 + 4*v. Let o(k) be the third derivative of n(k). Let p(d) = d**2. What is o(p(u))?\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l + 10. Let m be h(5). Suppose -2*f - 2*f + 128 = m. Calculate the smallest common multiple of 20 and f.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.319449915 to 4 dps.\nAnswer: 0.3194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 172.711 to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from yfyyyfyf?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6595 + 4?\nAnswer: -6591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/50 - (-123)\/5. Suppose o = 5*x - 5. What is the units digit of (x\/4)\/((-12)\/(-32))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -550, -1072, -1552, -1978, -2338, -2620?\nAnswer: -2812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*l**4*p + 857654*l**3*p - 42*l**2*p - 4*l**2 - 2*l - 3*p - 1575 wrt l?\nAnswer: 672*l*p + 5145924*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-390)\/(-45)*5100\/1300.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -333 + 333 - 3*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1765 + 64577?\nAnswer: 66564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*h - 88, 30*h = 25*h + 3*v + 220. Suppose -11 = -n + 208. Calculate the remainder when n is divided by h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(4 - 4 + u) + 0*u + 3*u - u + 0*u + 0*u - u + 3*u - 4 - 3 + 5.\nAnswer: 6*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (13 + 4 - 10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 62?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-8)\/(-48)*2\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18282830, 36565658, 54848486, 73131314, 91414142, 109696970?\n\"Answer: 18282828*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 84300 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 529, 1812, 3949, 6940, 10785, 15484, 21037?\nAnswer: 27444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329 = 581*w - 189*w - 63 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, r: 1, j: 8, h: 2, g: 2}. Give prob of picking 1 g and 1 h.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - -18190806393.\nAnswer: 18190806393.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 83993. Let i(p) = -52*p. Calculate o(i(b)).\nAnswer: -2704*b**2 + 83993","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-558 - -557)\/(0 + (-3)\/21). Suppose 0 = -4*a + c + 760, -3*a = -3*c - 2*c - 587. What is the greatest common divisor of p and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-44)\/(-40 - (-51 - -33)). Find r, given that 9248\/23 - 272\/23*r + 2\/23*r**t = 0.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 58887050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7\/8 (b) -1 (c) 4 (d) 206\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 3:34 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 5, 2, 3, -2, 539?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + 2. Suppose 5*k - 6*p + 4*p = 17, 2*k = 4*p + 10. Let v be k + -1 + (10 - d). Solve -g = -v - 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7483*p**2 + 2*p - 100354.\nAnswer: 14966*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 3 = 6*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**6\/30 - 2*q**5\/15 - q**4\/6 + 79*q**2. Suppose k(y) = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -6*r**3 - r**2 + 6*r + 6. Let b(o) be the first derivative of -o**2\/2 - o - 2. Let c(i) = -5*b(i) - w(i). Let u be 10\/20 - (-3)\/(-2). Calculate c(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12982242.\nAnswer: 2, 3, 7, 13, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 7. Suppose 2*m = 4*m - 18. Let c be v(m). Solve -c*r = r + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a meter in centimeters?\nAnswer: 1675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/9 and 1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 31. What is the remainder when 24\/(-3)*5*-1 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12999015*n**2*u**3 + 30*n**2*u + 7*n*u**3 + 4*n*u**2 + n*u + n + u**2 + 131*u wrt u?\nAnswer: 77994090*n**2 + 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6943*b - 17 - 815 = 6917*b for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001212 - -1?\nAnswer: -1001211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 + 3*j**2 - 2*j + 4. Let a(o) = o**3 - o**2 + o. Let l(w) = 3*a(w) + m(w). Calculate the smallest common multiple of l(0) and (3 + 1)*8\/16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -2*u**5\/5 - u**4\/12 - u**3\/3 - u**2\/2 - 14*u. Let t be z(-1). Solve -2*h + 12 = 3*a, -4*h + 2*a - t = -5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, 8, 108.85?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.04, 1\/3, 2\/5, 100?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/22 and 2\/(-56)*(-233 + 3).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 37, 19, -21, -83, -167?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -421 + 223. Let n = g - -200. Solve -4*s = -n*s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l - 8235. Let c(z) = -2*z**2 + 18. Give c(q) + 4*k(q).\nAnswer: -2*q**2 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - 81aca0?\nAnswer: -81ac98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -0.309367 (b) 0.2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 72, 110, 148, 186, 224?\n\"Answer: 38*m + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58*v**2 + 90*v**2 - 58*v**2 + 153*v**2)*(0*v + 0*v - v).\nAnswer: -243*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 1. Let o(j) = 6*j - 4. Let z(r) = -4*a(r) + o(r). Let l(p) = 2*p - 10. Let t(f) = -1. Let n(m) = -l(m) + 3*t(m). Determine -6*n(d) - 5*z(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/5))\/b)**6\/(b**(-1\/12)*(b*b**(1\/3)\/b)\/b)*((b**(1\/3))**(36\/11))**(-7) assuming b is positive.\nAnswer: b**(-2043\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m**4 + 0*m**4 + 15*m**4)*(-1 - 6 + 4) as g*m**3 + l + a*m**2 + r*m**4 + x*m and give r.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 33\/(429\/377)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9685718 * -2.\nAnswer: 19371436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9.874 from -1237296.\nAnswer: -1237286.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -0.2, 984, 0.015, 0.2?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3913266 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22340 is divided by 1435.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h. Let a(j) = -j - 7. Let i be a(4). Let m = 13 + i. What are the prime factors of w(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 16951 = j, -3*t = -2*j - 7*t + 33934. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**5\/2 + 1107*l**4 - 1108*l**3 - 1107*l**2 + 2215*l\/2 = 0.\nAnswer: -2215, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Solve -4 = -o*x + 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -63021056 - 100?\nAnswer: -63021156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00046593 to five decimal places.\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25377 + -25376.984999. Round c to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185937?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 5*c - 51. Let p be s(-5). Which is smaller: p or -3\/311?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.493 + 1165.493. Let q = -1163.0000579 + x. Round q to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(300) - sqrt(6)\/(sqrt(4)\/sqrt(2))) + -3.\nAnswer: -3 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 24 = p, w - 5*w + 2*p = -22. What is the second derivative of -14*s + 16*s - w*s - s**5 wrt s?\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s + 17. What is the remainder when 46 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 76*i**2 + i - 78. Calculate q(76).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.288 + 35.523. Round a to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4062 + 8646. Is i a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - i - 15 = 0, -6496*i + 6498*i = -7*k - 24 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b, 0 = -5*g + 3*b + 16110 - 3815. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299249?\nAnswer: 47, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -291874 + 0?\nAnswer: -291874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11366705 - 5?\nAnswer: 11366700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 378256, 378243, 378222, 378193?\n\"Answer: -4*q**2 - q + 378261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -36*f - 20. Let x(j) = -4*j - 1. Let l(r) = c(r) - 8*x(r). Determine l(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/19)\/(y*y**(1\/2))*(y*y**1)**(-2\/45))**(-1\/11) assuming y is positive.\nAnswer: y**(2537\/18810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169111834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3\/8 + 1585*f**2\/4 - 3171*f\/8 = 0. What is f?\nAnswer: -3171, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**6\/120 + y**5\/30 - y**4\/12 - y**3\/3 + y**2 + 10. Give c(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -62, -36, 28, 148, 342, 628?\n\"Answer: 3*y**3 + y**2 + 2*y - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**4 - 3846*n**2 - 2*n - 381.\nAnswer: -12*n**2 - 7692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1098339 is divided by 637.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/3 + 6)*(0 - -1). Solve 3*m - 1 - v = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times -52?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -146, -12, -56, 466 in decreasing order.\nAnswer: 466, -12, -56, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -9. Let w be 1 + 1\/(o\/(-3)). Solve -r + w - 9 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -2\/23, -5, 171, 1, -440?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t = 190 - 40. Let j(x) = -2*x + 9. Let c(z) = z - 8. What is t*c(i) + 5*j(i)?\nAnswer: -4*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 274063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 90 = -3*d, -d = 4*d + 4*u + 153. Let h = -11 - d. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(-2\/3)*b*b*b)\/(b\/b**(-1))*(b**(1\/4))**5)**(-9\/8) assuming b is positive.\nAnswer: b**(-129\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 29 = -34. Calculate the highest common divisor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -40. Let h = 0.205 - -2.795. Which is the third biggest value? (a) q (b) 0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1502 - -0.3?\nAnswer: -1501.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -230301121?\nAnswer: 230301133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 3*p + 672. Suppose 5*t - 168 = p. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o**2. Let z(h) = -248846*h + 2. What is z(a(g))?\nAnswer: 1244230*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**3\/3 - 350*q. Let u(d) be the first derivative of d**3 - 1. Calculate l(u(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7714.971 centimeters in micrometers?\nAnswer: 77149710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152401340 (base 6) to base 9.\nAnswer: 6023126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-32*(-132)\/1056. What is the nearest to -2\/7 in -3.4, -0.5, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1240*z + 219*z - 67267 + 2238 = 22511 for z.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 50.5796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 11*n = -5138508. Let d = n + 2140627. Round d to the nearest 10000.\nAnswer: 860000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-271 - (-219 - 42))\/(2*(-2)\/(-34)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231516 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142 + -3?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -25*u**3 - 320*u**2 + 2*u + 185. Find the second derivative of g(n) wrt n.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1826 - -0.02.\nAnswer: 1826.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*h**2 - 12*h + 36*h**3 + 36*h**2 - 7*h**2 + 2 - 8*h**2 to g*h**3 + t*h**2 + s + b*h and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 20 = 4*d, 28 = -3*z + 4*d + 8. Differentiate z*x + 4*x - 2*x - 4 + 6 with respect to x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83 - 82. Is (g - 0)*3*633\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100266 and 8.\nAnswer: 401064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express k + 0*k - 2*k + 1 - 1 - k + (-k + k + 2*k)*(0 + 2 - 3) + 19*k - 6*k - 3*k in the form n + b*k and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -689? (a) -2\/3 (b) 4 (c) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.09 + -6.99. Let i = -2.9 - p. Let o = -27 - -28. Sort o, -5, i in decreasing order.\nAnswer: i, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48944400 rounded to the nearest 1000000?\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 - 4*p**2 + 3429*p + 6864. What is b(-2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (5 - 1 - 2) + -2 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27093792 * -4.7.\nAnswer: 127340822.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 1\/8, 0.105?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 900*b**5 + 775560*b**4 + 5866336*b**3 - 66168128*b**2 + 17324608*b - 1147776 = 0?\nAnswer: -854, -14, 2\/15, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -115000000 rounded to the nearest 1000000?\nAnswer: -115000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 5*t - 3*o - 245, 3*o = 5*t - 245. Let z(g) = g**3 + 6*g**2 + 2*g + 2. Calculate the remainder when t is divided by z(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4487, -36259, -122623, -290879, -568327, -982267, -1559999, -2328823?\n\"Answer: -4550*u**3 + 4*u**2 + 66*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/2 + 2531*u**2 + 491200*u + 24310000.\nAnswer: (u + 100)**2*(u + 4862)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3070?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -150*y + 10. Let v(j) = -30*j + 2. Determine -3*c(z) + 14*v(z).\nAnswer: 30*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/8)\/((3\/7)\/(4\/(-14)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 + 14*c - 9*c - 5*c.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -12, 3, -45 in ascending order.\nAnswer: -45, -12, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 221 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -35298, -35150, -35004, -34860, -34718, -34578, -34440?\n\"Answer: -w**2 + 151*w - 35448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = -2*n - 178. Which is the third biggest value? (a) n (b) -3 (c) -1\/3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-13 + 0) - (-8 + 21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 12*w - 47. Let q be n(7). Suppose 3*i - 246 = -3*b, -2*b - i - q + 252 = 0. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 557?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 177953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1990, 1907, 1824, 1741, 1658, 1575?\nAnswer: 1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*s + 666 = 2516 - 515 - 775 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - 14*(-2)\/6. Factor -2\/9*z + 10\/9*z**3 + m*z**4 + 2\/9*z**2 + 0.\nAnswer: 2*z*(z + 1)**2*(3*z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -140 - 2a093?\nAnswer: -2a223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - 175436112?\nAnswer: -175436122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*y + 11. Suppose -6*q = -2*q - 4. What is o in -q + 11*o**3 + o + o**4 + 6*o**2 + y*o**4 + 3*o**2 = 0?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66859675, -133719344, -200579013, -267438682, -334298351, -401158020?\nAnswer: -468017689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/(-4))\/(2\/200). Suppose 5*c = -2*y + 3*y + 555, -2*y - 2*c - 1050 = 0. Let o = 575 + y. What is the highest common factor of t and o?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/26)\/(1\/10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77\/106 - 5593\/1060. Suppose -3*p - 13 = 2*s, -4*s = 2*p + 8 + 6. What is the common denominator of -2 + s - (-74)\/(-16) and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -14958 in ascending order.\nAnswer: -14958, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3 - 3166*a**2 - 242992*a + 498664 = 0 for a.\nAnswer: -1502, -83, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (1 - -1)) + 10 - -37.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 1 - 42\/(-2313). Let h = 10375\/514 - u. Are 20 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1262 + -1251. Let y(p) be the first derivative of -1\/4*p**4 - o + 4*p + 5\/3*p**3 - 5\/2*p**2. What is y(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -230103, -230098, -230093, -230088, -230083, -230078?\n\"Answer: 5*a - 230108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 598, -3.7, 2\/9 in descending order.\nAnswer: 598, 2\/9, -0.2, -3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6082051139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**3\/3 - r**2\/2 + 10. Factor b(m).\nAnswer: m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63012 at most as big as 63010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 5 - -15 - 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 380451, 380452, 380453, 380454, 380455?\n\"Answer: d + 380450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -560 + 16. Let d = h - -1636\/3. Find the common denominator of (9\/(-4))\/((-3)\/(-14)) and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 460*o + 9206. Determine b(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a centimeter in micrometers?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73003 - -107327. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 12*c + 37. Let z be l(7). Let o(t) = t**3 + 6*t**z + 11*t**2 - 6 - 11*t**2. What is o(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - 12. What is the remainder when (-876)\/m - 6\/(-21) is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 22*r**2 + 2*r. Let b(j) = -1078*j**2 - 135*j + 6. Let u(t) = 2156*t**2 + 276*t - 13. Let y(a) = -13*b(a) - 6*u(a). What is 99*k(n) - 2*y(n)?\nAnswer: 22*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 544 and 402152.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 677851 < 677851?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(8)\/(sqrt(16)\/sqrt(4)) - (-1*sqrt(72) + sqrt(2)) - -5*(3 + (sqrt(2) - (sqrt(2) + sqrt(8)\/sqrt(4))) - (1 + sqrt(6)\/sqrt(3))))**2.\nAnswer: -80*sqrt(2) + 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11070?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 142500 and 53048?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9bc (base 14) in base 2?\nAnswer: 11110001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99262141.\nAnswer: 11, 9023831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 3*a**2 - a + 2. Let j(f) = f**2 - 6*f. Let h be j(5). What are the prime factors of m(h)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 637 + -629. Let a(k) = -2*k + 13. Give a(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v + 1. Let o be f(1). Which is the closest to 1? (a) 2\/23 (b) o (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1822*x - 281494 + 88362 for x.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 610 + -613. Let m = -0.4 + 0.3. What is the closest to m in n, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5 - 24*v**4 + 126 - 410*v - 32*v**4 + 55*v**4 wrt v?\nAnswer: -4*v**3 - 410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -103 + 244. Let y = 147 + c. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 - -61. Suppose -3*c = 4*y - 7 - 24, c - 5 = -4*y. Solve d - c = -5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - r - 1. Let x(j) = -2*j**2 - 7*j - 9. Let b(g) = l(g) + x(g). Give b(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10\/9, 154973, -69?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 96?\nAnswer: 5\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 29, 4304 in increasing order.\nAnswer: -2, 5, 29, 4304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1506 = 5*k, -4*q - k - 5*k = -1484. Let b = -27 + 49. What is the highest common divisor of b and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 - -95. Suppose 4*k + 3 = a, 2*a + a + 15 = 0. What is the remainder when t is divided by 10\/k + 22 + -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 minus 38.75?\nAnswer: -38.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 156063260131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q**2 - 4. Let k(n) be the third derivative of -n**5\/10 + n**3\/2 - 8*n**2. What is 4*k(l) + 3*o(l)?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 5 + 10. Suppose f*a = 2*y + 77, -97 + 9 = -4*a - y. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 122616 and 792.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-58*114\/13224)\/(-3*(-2)\/((-48)\/502))\nAnswer: 2\/251","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -9 - (-2 - 5*-1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/19? (a) 6 (b) -4 (c) 2\/5 (d) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b + -421f0?\nAnswer: -421e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -7*o + 12*o. Let s(l) = -l. Let a be s(o). Find the common denominator of 28\/3 and ((-82)\/(-44))\/(3\/a).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i - 1. Let q be c(1). Suppose 0 = -3*z - 2*f + 2, q = -f. Let -2*k**3 + k**2 + k**z + 4*k**3 + 0*k**3 = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -83, -111, -135, -155?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289709 is divided by 144836?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84544404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5221\/5 - 9*(-4)\/(-180). Suppose 4*r = 0, 2*r + s = -b + 4*b. Calculate the greatest common divisor of b and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.234, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 16 - 12. Let a(w) = -1629*w + 11470. Calculate the remainder when a(7) is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**5\/20 + 2*n**4\/3 + 2*n**3\/3 - 6*n**2 + 5*n. What is the tens digit of m(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -834, -828, -820, -810?\n\"Answer: i**2 + 3*i - 838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*o + 3409116 = -1384542 - 5488263. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 3*d**2 - 4. Let l be g(4). Suppose l = 5*q + 2. Solve q*k + 2*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2541786187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2210*j**2 + 4 - 2205*j**2 - 4. Let f(a) = 2*a - 2*a + 3*a. What is f(p(z))?\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141568?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, d: 1, w: 1}. What is prob of sequence dw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6*j = t - 19, -9 = 2*j + t. Let a be j\/(-38) - 352\/(-988). What is the nearest to -2\/7 in 4, -0.5, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*g*k**3*v**2 + g*k**3*v - 2*g*k**2 - 29*g*v**2 + 62*g*v - 2*k**3*v + v**2 wrt v.\nAnswer: 16*g*k**3 - 58*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1050 at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 6*a**5\/5 - 3*a - 6. Differentiate k(m) wrt m.\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/154110 and -47\/2?\nAnswer: 154110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -140260618*z**2 + 23649663*z.\nAnswer: -280521236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - g. Let y = 25 + -26. What is the units digit of x(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k - 5. Let v = 421 + -357. Let x(b) = -v*b + 22*b + 20*b + 20*b - 6. Give -4*w(g) + 3*x(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -26, -4 in descending order.\nAnswer: 5, 2, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 300700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, s: 3}. Give prob of picking 1 s and 1 h.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 a, and 1 j when three letters picked without replacement from tjaryfr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/5)*m**(6\/5))**(2\/19) assuming m is positive.\nAnswer: m**(8\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 68 = -4*n, 75*m - 12 = 73*m + 4*n. Sort -1, -58, 0, m in increasing order.\nAnswer: -58, m, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*o + 323*h = -201*o - 963, -3*o = 3*h + 15 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (70\/48)\/(28\/112). Let v = -71\/12 + f. What is the common denominator of v and 38\/21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/o**1))\/o)\/o**(4\/7))\/((o**(-2\/3)*o)\/o)**(-14)*((o**0\/o)\/o)**(2\/33)\/(o**2\/o**6) assuming o is positive.\nAnswer: o**(-464\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69513 and 21?\nAnswer: 486591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3459*c + 3449*c - 80 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*(sqrt(700) - (1 + sqrt(700)*1) - sqrt(700))*4*2)**2.\nAnswer: 46080*sqrt(7) + 1615104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 0*o = -2*n + 10, 20 = -3*o + 4*n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -157, -3, 5 in descending order.\nAnswer: 5, 2, -1, -3, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16409482 by 9.\nAnswer: 16409482\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 11 + 4. Suppose 5*z = -2*u + 8, 2*u = -s*u + z + 20. Suppose u*g - 15 = 1. Which is smaller: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 - 16 - ((-2 - (-6 - -1)) + -3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*7\/42)\/(9\/(17712\/(-17744)) + 9).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210956 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-22)\/(-55))\/((-2)\/120). Let j = r + 22. Is (-4*(-89)\/j)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*p**3 + 359*p**3 + 177*p**3)*(-2*p**2 + 4*p**2 - 4*p**2).\nAnswer: -1176*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26309 - -26307. Which is the nearest to r? (a) -15 (b) 1\/9 (c) -233\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1377) + 5 + -6*(3 + sqrt(1377) - sqrt(1377)))**2.\nAnswer: -234*sqrt(17) + 1546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/37 + -25\/148. Sort -4, o, -0.3.\nAnswer: -4, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -700047000 rounded to the nearest 1000000?\nAnswer: -700000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 0.5 (c) 1 (d) -0.069\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 126.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 1:30 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 11*k**4\/12 + 4*k. Let x(z) = -z. Determine i(x(f)).\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**3 + 2*k**2 + k + 1. Let p(m) = 788*m**3 + 24*m**2 + 12*m + 12. Give p(s) - 12*w(s).\nAnswer: 764*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/(-8)*(-4 + (-52)\/(-10)). Let m(x) = -x. Let q(g) = g**2. Calculate a*m(k) - 3*q(k).\nAnswer: -3*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/46293 and -145\/18?\nAnswer: 277758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10140 and 8?\nAnswer: 20280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d + 4*d - 43 + 4 - 5*d + 5. Calculate y(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from {n: 5, a: 10, f: 4}?\nAnswer: 50\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.2 or -0.065?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 - 14*c**2 + 6*c - 2. What is the smallest common multiple of 32 and l(7)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 7:52 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-1352)*39)\/((-48)\/(-39))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-3) - (0 + -15). Suppose 4*v - n = 2*v + 6, -r = -2*v - 4*n. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 165.9121 and -19.\nAnswer: 146.9121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + t + 1. Let q(j) = -2*j**2 + 2*j + 1. Give -q(a) + z(a).\nAnswer: a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fgcf. Give prob of picking 1 f, 1 c, and 1 g.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n - 1. Let z be h(1). Let g(r) = -2100006*r + 5. Let p(i) = i. Let j(t) = z*p(t) - g(t). Let m be j(5). Round m to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*d = 38, -4*x + 5*d = -7*x + 10. Let r(s) = -2*s - 2. Let c be r(-3). Solve j = -i, -x = c*j - 0*j - i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522982371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9180 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1619 - 4985\/3. Let a = n + 42. Sort 3\/4, -2\/23, a in descending order.\nAnswer: 3\/4, -2\/23, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -3*s**2 + s - 3. Let x be m(-4). Solve 3*b + 10 = x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(245)*-1 + sqrt(245))*-5)**2 + sqrt(245) + 1 + -6*(sqrt(245)*-2)**2*1)*-6*3 + 1.\nAnswer: -126*sqrt(5) + 105823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4565.2788 minutes?\nAnswer: 3.1703325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 plus 68110644508008?\nAnswer: 68110644508030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 1. Let x(c) be the third derivative of c**4\/12 + c**3\/2 - 761*c**2. What is -2*x(j) + 5*y(j)?\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - ((2 - (6 + -5))\/(-1) + -10390)?\nAnswer: 10391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 6*(1 + sqrt(252) + 0))**2.\nAnswer: 576*sqrt(7) + 9136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270045 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7023 divided by 20.\nAnswer: -7023\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 33*p**2 - 37*p + 7. Let g(f) = 11*f**2 - 11*f + 2. Determine -2*a(d) + 7*g(d).\nAnswer: 11*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 + 15*k**3 - 5*k**2 - 7*k**3 + 3*k - 2 + 3*k**3 + 5*k. Let l(s) = -s + s**2 + 2*s - 2*s - 2*s + 1 - 4*s**3. Determine -8*l(c) - 3*y(c).\nAnswer: -c**3 - 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 3 + (18 - 17). Find the third derivative of -2*g**4 + 318*g**2 + 68*g**p + 2*g**4 - 76*g**5 + 330*g**5 wrt g.\nAnswer: 19320*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c + 110. Let j(o) = -5*o + 110. Let g(n) = -5*j(n) + 6*x(n). Does 13 divide g(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2849*g + 136012 + 26381 for g.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m**5 - 888512*m**4 - 5330826*m**3 - 4664446*m**2 - 1110580*m = 0 for m.\nAnswer: -111058, -5, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (55 + -2669)*(-5 + 3 + (-1)\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7233, 14472, 21711, 28950, 36189, 43428?\n\"Answer: 7239*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**2. Let t(s) = s + 18. Let z(i) = -4*i - 51. Let h(k) = 17*t(k) + 6*z(k). What is h(l(w))?\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -15cec?\nAnswer: -15d00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -605*y**4 - 230*y**3 - y**2 - 895006*y wrt y.\nAnswer: -7260*y**2 - 1380*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 4*h**2 - 3*h. Calculate w(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16405851\/(-42630) - -380 - (1*-1 - -10)\/(-2).\nAnswer: -12\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-5)*7\/((-84)\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -4. Let o = -1 + 2. Let j(b) = b**2 + b + 1. Let l(x) = -8*x - 8. Let r(g) = o*l(g) + v*j(g). Let c(p) = -2*p**2. Determine c(r(y)).\nAnswer: -128*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -227891 to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -3 - (0 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -53c7 - 30?\nAnswer: -5417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.98 - 7. What is the fourth smallest value in c, -1\/4, 3, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five quarters of a millimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/p**(2\/3))\/p*p*p)*p)**14 assuming p is positive.\nAnswer: p**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m + 7. Let j be v(10). Let x = -4 - j. Let u = x + -5. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 52 = 31*b. Let u(d) = -5*d + 2. Let z(a) = -49*a + 21. What is b*z(t) + 21*u(t)?\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*i + 6 = 0, -3*i + 0*i - 6 = -3*z. Suppose 5*p + 9 + 1 = z. Let h(v) = -4*v + 2. What is the tens digit of h(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 372, 1271, 3014, 5877, 10136, 16067, 23946?\nAnswer: 34049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + -111113?\nAnswer: -111033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0*-9.9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -948160 by -474080.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**5 + 41*n**4 - 10547*n**3 + 20787*n**2 + 31374*n = 0.\nAnswer: -126, -1, 0, 3, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-23)\/(-84)*-4 + 1)\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 5*x**2 + 6*x - 3. Let c be i(6). Is -2\/13 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486*s**2 + 2679*s**2 + 1715*s**2 + 2008*s**2.\nAnswer: 5916*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1 + 15 = 0. Is 15 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.1 + -2. Let x = -1.1 + g. Let s = 29 - 59\/2. Which is the closest to s? (a) x (b) 2\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 517*w**2 + 3013. Let x(g) = 17*g. Determine x(d(n)).\nAnswer: 8789*n**2 + 51221","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k - 100*k + 244*k = -452*k + 54144 for k.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7052 and 0.03074.\nAnswer: -216.77848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/8 of a day?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1029723, -1029713, -1029697, -1029675, -1029647, -1029613?\nAnswer: -1029573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3800*j**5 + 1936090*j**4 + 24756395*j**3 + 22876535*j**2 + 60030*j = 0.\nAnswer: -23\/2, -1, -1\/380, 0, 522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {l: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1672 (b) -0.5 (c) -2 (d) -0.1 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 84*h - 356. Give m(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 5*t + 6. Let w be b(-6). Let m be 2 + w + 45 + -1. What are the prime factors of (-1)\/((-1)\/m) - -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7403, -29584, -66575, -118394, -185059, -266588, -362999?\nAnswer: -474310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**4 + 74*o**3 + 23252*o**2 + 952248*o + 1812096 = 0.\nAnswer: -66, -2, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 16*j**2 + 80*j + 42. Determine f(-5).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-11))\/(234\/36 - 17)*-217?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) 1\/20425 (c) -0.07 (d) 2\/7 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/(-8)*(-32)\/12. Suppose 0 = -7*k + 3*k. Suppose 2*j + 6 = 4*u, 61*u - 62*u - 4*j + 24 = 0. Solve k = o - u*o + n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52871 + -52838. Calculate the remainder when 1 + 112 + 0 + 0 is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.4267*-0.04\nAnswer: -0.177068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.26 + 0.16. Let m = -12.8 + 11.8. Sort -0.06, -0.5, l, m in ascending order.\nAnswer: m, -0.5, l, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pwpwwwwwwpwppw?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49329143.\nAnswer: 227, 217309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 299809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 12. Let r be g\/(-2 + (-3)\/3). Is r bigger than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*t - 5*v, 2*v - v = 5*t - 36. Suppose t*n = 10*n - 6. Suppose 0*c - 3*c + 6 = 0. Solve n*o - o = c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rssrvurvjrsrrv. What is prob of sequence vsu?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(968\/12))\/(6\/(-8))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3548 is divided by 132.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 461 = 377. Let w be 118\/6 - (-1)\/3. Do d and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47*-0.3\nAnswer: 14.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*a = -10, n = 4*n - 2*a + 2. Suppose n*c - 5*l + 11 = c, -c + 4*l - 8 = 0. Solve c*v - 4*k = k - 10, 2*v = -4*k + 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 34*h - 492. Let x be a(45). Suppose 0 = 4*g - 2*m - 4, -6 = 3*g + m + 2*m. Sort g, x, -3, 8 in descending order.\nAnswer: 8, x, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q - 3. Let i be (-8)\/(-10)*10\/(-4). Let g be v(i). Solve -3*d = -g*p - 22, 4*d - 1 - 13 = -p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**3\/3 - v**2 + 2*v + 13. Let w be l(0). Let g be 37\/148*80\/7. Which is bigger: w or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1437 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -8 (b) -6 (c) 0.7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 198.2764 rounded to 1 decimal place?\nAnswer: 198.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 4:26 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -611 + 611 = -l. Suppose -g + 1667 = -2*m - l*m, -g - 4*m = -1667. What are the prime factors of g?\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1, -3\/4, -76\/29, -1.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5 + (-5 + sqrt(425))*3 - -6*-4*(sqrt(425) - (1 + sqrt(425)))*1)**2.\nAnswer: 480*sqrt(17) + 4081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 167, 154, 141?\n\"Answer: -13*v + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/7*-1 - (-26)\/(-91).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2029 = 82*f + 98*f - 2291 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 138\/11? (a) 5\/6 (b) 0 (c) -7 (d) -1 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*y - 304 = 188 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1791\/11 + 163. Let d = -14242.4 + 14241.8. What is the closest to 2 in d, k, -10?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a. Let x(k) be the third derivative of 0 + 0*k + 0*k**4 + 1\/10*k**5 + 0*k**3 - 4*k**2. Give x(j(b)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 9*g**2 - 6*g + 16. What is x(7)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 5*w)*(0 + 0 + w**3) - w**4 - 4 + 4.\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -27*n + 9*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 29302142.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12*-1)\/(3041\/(-54738))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, -5\/64, 0.073, 0.1, 0.31?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 93761008.9 to the nearest 100000.\nAnswer: 93800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 37*m + 296. What is w(26)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -514556\/191 + 2694. Let y be 1126\/2865*(-15)\/(-10). Let z = j - y. Which is the biggest value? (a) -2\/9 (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-6)*(-80)\/(-500) + -4?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 15\/4 of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*r - 4*s, 2*r - 6*r = -s. Let d = -0.1 - 0.4. Put d, -2\/31, r in descending order.\nAnswer: -2\/31, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*q + 6, 5*h - 5*q - 2 = -12. Let j be h\/(0 + (-1)\/(-1)). Solve -z - 1 + j = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kz when two letters picked without replacement from {f: 1, k: 1, i: 1, p: 1, z: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -8*f**2 + f + 46. Calculate d(0).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*o, -3*y + o = -o - 83. Let r(i) = -102*i - 321. Let l be r(-3). What is the units digit of -5*l\/y - -48?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 33 + (2 - -9) - 8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 3 (c) 1\/5 (d) 11 (e) -1978.6 (f) 4 (g) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3 - 75*k**2 + 552*k - 1072 = 0. What is k?\nAnswer: 4, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/sqrt(7))**2*-2*3.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 + 86. Suppose 0 = 4*r - p - 52, -x*p = 5*r - 5*p - 62. Calculate the remainder when 54 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22772 (base 10) to base 15\nAnswer: -6b32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 535\/(-35) - 2\/(-7). Let m = n - -13. Let q(d) = -3*d - 2. Calculate q(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/12 and -139\/7914?\nAnswer: 15828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -16, 3*i + 2*q = 3 + 1. Suppose -6*f + 34 + 2 = 0. Solve -3*m - i = 2*s, -4*m = s + 2*s + f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 7*u + 10. Let w be x(-7). Let o = w + -20. Let a = o - -184. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 3.26.\nAnswer: 0.978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 1:40 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -504\/5 + 1517\/15. Suppose -o**2 + 0*o + m*o**3 + 4\/3 = 0. What is o?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137 + -98. Suppose a = y - 2. Calculate the remainder when a is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*r = -0*y - 28, 0 = 5*y + r - 15. Let m be y - (1 - (-1 + 0)). Let a be (7 - (10 - 3)) + 3. Solve 4*n + 25 = -n - a*k, 3*k = m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28196 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/10 - (-3)\/(-15). Solve -2*v - q = -5*q - 20, -2 = -f*v - 2*q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1122 = -n + 4*n. Let h = n - 366. Let a = 18 + -11. Solve h = -3*m - a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-132)\/(-12496))\/(2\/(-80)*15)\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 174909.1 and 172.\nAnswer: 30084365.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) -0.0555 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 207024.5 rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.6 and -47.\nAnswer: -52.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -1.8, -2 in increasing order.\nAnswer: -5, -2, -1.8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -31*s. Let k(i) = i**2 - 11. Let t(x) = 483*x**2 - 44. Let f(l) = -4*k(l) + t(l). Determine f(q(p)).\nAnswer: 460319*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**4 + 0*w**4 - 4*w**4 + (2*w + 3 - 3)*(-1 + 1 - w**3) - 13*w**4 + 2*w**4 + 20*w**4 - 4*w**4 + 4*w**4 - 2*w**4.\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1225\/4900)\/((2\/(-120))\/((-6)\/15))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 330 and 6435?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + 3334\/19560*-46. Let z = h - -6\/815. Factor j - 1\/6*j**3 - z*j**2 + 0.\nAnswer: -j*(j - 2)*(j + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, p: 1, x: 1, j: 2, a: 1, r: 3}. Give prob of sequence pe.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - i + 91 = 0, -3*q - 5*i = -105 + 22. Let o = q + -21. Suppose -c + 5*h + o = 0, 2*c + 3*h - 30 = -c. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2614*l**3 + 23*l - 7. Let s(a) = 2615*a**3 - 26*a + 8. Give -8*g(p) - 7*s(p).\nAnswer: 2607*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -481487 + -0.02\nAnswer: -481487.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1008) + sqrt(1008) + sqrt(28))\/((sqrt(1764) + sqrt(36))\/sqrt(9)).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 1:01 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/334024 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/2, 220, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, y: 4, k: 4, d: 5}. Give prob of picking 1 k and 2 y.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 0. Suppose -b = p - 4*p. Let s = -18 - -14. Put p, s, -3 in ascending order.\nAnswer: s, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 10. Let f be -14 - (-4)\/16*i. Let l be (-784)\/f*(-2)\/(-4). Calculate the highest common divisor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8686)\/(-10) - (-12)\/30 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2179 - 650. Suppose w + 4231 = 8*i. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v + 3. Let j = -13 - -9. Let b be t(j). Let z(c) = 5*c**2 - 2*c - 6. Let x be z(-3). Calculate the greatest common divisor of x and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-25\/3)\/l*l*(l**(1\/17)\/l)\/l*(l\/(l*l**(-22)))**(-24))**6 assuming l is positive.\nAnswer: l**(-54904\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 2)*1\/2. Let l(i) be the first derivative of 2 - 4*i**3 + h*i + 7\/2*i**2. Find the second derivative of l(g) wrt g.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 0, -14, 4 in decreasing order.\nAnswer: 4, 0, -1\/8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*b**2*y**2 - 22*b**2*y + 12*b**2 - 29477*b*y**2 - 85*b*y - 1 wrt y?\nAnswer: -16*b**2 - 58954*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 119*a**5 - 7*a**2 + 172*a - 88*a**5 + 52*a**5 wrt a.\nAnswer: 1660*a**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6631 is divided by 828?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/2 - 47965*h**2\/2 + 572923447*h\/2 + 53697534213\/2.\nAnswer: (h - 24029)**2*(h + 93)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 11*r**2 - 392*r + 588. Determine i(33).\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, k: 7}. Give prob of picking 4 z.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1898 - -ab0?\nAnswer: -cd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 2270560.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1552 - -1558. Let c(a) be the second derivative of 0*a**4 + 18*a - 8\/15*a**k + 0*a**3 + 0*a**5 + a**2 + 0. Differentiate c(y) with respect to y.\nAnswer: -64*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 7*l + 360. Suppose 3*n - 4*z + 2*z - 51 = 0, l = 3*n + z. Suppose -21*t + n*t + 10 = 0. Solve 0 = 3*o - 6, o = t*g - 3*o + 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.916428 to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/10 - (-4)\/10. Suppose 8 + r = 3*q. Suppose -77 = -2636*c + 2625*c. Calculate the remainder when c is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.8 + -6.8. Let q = -10 + 15. Which is the smallest value? (a) 0.5 (b) o (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/1 - 8)*-62. Let j = -246 + n. Solve -1 = 3*c - 7, -3 = w - j*c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 110 = -2*u. Let a(x) be the third derivative of x**5\/20 - x**3\/3 + 2*x**2. Suppose 3 = 5*n + 23. Let b(f) = -16*f**2 + 11. Give n*b(h) + u*a(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 - 15 = -5*j - 4*t, 0 = -9*j + t + 145. What is the remainder when 10775 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -500\/11, -64, 0.24, -0.2, 1\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + 4*c + 0*c)*((-1 - 5 + 1)*(5 - 3*c - 5) - 2*c - 2*c + 0*c) + 6*c**2 - 132 - 132 + 247 as f*c + x + l*c**2 and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*b**3 - 15*b**3 - 32*b**3)*(-5 + 2 + 4) - 3*b**3 + 0*b**3 + 5*b**3 - 60*b**3 - 56*b**3 - 45*b**3 in the form x*b + r + n*b**2 + p*b**3 and give p.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -165478, -165475, -165496, -165553, -165658?\n\"Answer: -2*i**3 + 17*i - 165493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 762981.\nAnswer: 3, 197, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -12. Suppose 2*d - 6*d = -4. Let s be (d\/(-15))\/((-1)\/39). Which is greater: v or s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 646*d**2 + 206*d - 2241249?\nAnswer: 1292*d + 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -47, -82, -151, -266, -439, -682, -1007?\nAnswer: -1426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2. Let h(c) = -12830*c. What is h(p(t))?\nAnswer: -25660*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) -0.4 (c) 0 (d) 0.1134 (e) -0.36 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/5 - 36\/10. What is the units digit of j - -5 - (-11 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-4) + -2 + 8)\/((-19)\/(35264\/48)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -319 + 321. Sort 5, n, -36 in descending order.\nAnswer: 5, n, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 18233a?\nAnswer: -182340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-16)\/o**10 assuming o is positive.\nAnswer: o**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 669*q - 10520 = 668*q. What is the greatest common factor of 40 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 37*q**2 - q + 5. Let t(w) = 60 - 29 - 2*w - 30. Let n be t(-3). Is j(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z - 11. Determine d(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/(-2) - 5)*2*-1. Solve 2*v + 3 = -0*v + 3*b, -2*v - 5*b + l = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6942189.\nAnswer: 3, 2314063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence op when two letters picked without replacement from oroorriarrip.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/3825 + 58901\/3825. Which is smaller: i or 16?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48\/451 - -2965\/1804. Factor -m*p - 1\/4*p**2 + 0.\nAnswer: -p*(p + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 20*n + 19. Let v be o(-22). Suppose -14*q - v = -15*q. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 22*d - 1. Let s(y) = -43*y + 2. Determine 9*i(u) + 4*s(u).\nAnswer: 26*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -39. Let h(m) = 3 - 12 - m**2 - 72*m + 84*m. Let s be h(d). Solve 2*l + g = 7, 0 = -s*l - 0*g + 5*g + 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, b: 2, g: 1, c: 2, a: 1, n: 1}. What is prob of sequence ca?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**8\/20160 + d**7\/5040 + d**5\/60 + 3*d**3\/2 - 17*d**2. Let s(g) be the third derivative of f(g). What is s(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*g - 11*g + 16*g + (-g + 0*g + 2*g)*(1 - 2 + 4) + (4 - 4 + 4*g)*(-3 + 2 + 2).\nAnswer: 33*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09697 to three dps.\nAnswer: 0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.88 - 890366?\nAnswer: -890375.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 - 213*s - 214. What is o(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3+-495291.6348\nAnswer: -495288.6348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -d53d (base 14) to base 16\nAnswer: -8f63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 u when two letters picked without replacement from tuhhh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9714464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 8008707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127 or -1.61?\nAnswer: -1.61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2) + -7 + 2 + -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -388 + 571*l + 24*l**2 + 8*l**3 + 6*l**3 - 11*l**3 - 44 - 607*l = 0. Calculate l.\nAnswer: -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 639\/(-2)*((-173460)\/2646)\/295?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*y + 11 = 0, 3*k - y - 160 = -116. Solve -k*r - 17*r - 64 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 926593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0\/n*n\/n**(-3\/7))**(15\/2) assuming n is positive.\nAnswer: n**(45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/(-8))\/(5\/20) - -48.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 9 - 42*f**3 + 3*f**3.\nAnswer: -39*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -605*o - 40886. Calculate k(-69).\nAnswer: 859","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/90574 and -3\/23730388.\nAnswer: 23730388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from {g: 13, l: 3, b: 4}.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1155.1 + -1155.5. Sort i, 3, -22, -1\/9 in ascending order.\nAnswer: -22, i, -1\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35ac0 - 2?\nAnswer: -35ac2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*h - 26 = -4*s, -3*s = 3*h + 3. Suppose s*x - 88 = -12. Suppose m = x - 1. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/4)\/h)\/h**18*(h\/(h\/h**(-2\/9))*h)\/h**(-1) assuming h is positive.\nAnswer: h**(-647\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 733 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2257 is divided by 375.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1279 divided by -251.\nAnswer: -1279\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4)\/(j\/(j\/j**1*j*j)*j))\/(j*j\/(j\/((j**(2\/21)*j)\/j))*j**(-3\/5)))\/((j**(-2))**7\/((j*j**1*j*j)\/j)**(-13)) assuming j is positive.\nAnswer: j**(-3097\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 161?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5209573 - 11230.\nAnswer: -5220803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 0.5, 10 in decreasing order.\nAnswer: 10, 0.5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -232303.098 minus 687468?\nAnswer: -919771.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 - 5 - ((-644)\/48)\/1 and -55\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2084 - -2853. List the prime factors of x.\nAnswer: 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*k + 6 = 0, -3*v = -v - k + 3. Suppose 0 = -24*t + 433 - 97. Suppose v = -t*z + 19*z - 10. Solve 17 = -5*f + 2*x - 9, -3*f = z*x + 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -3\/17 (b) -0.66 (c) -2 (d) 3 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11\/45, -3, 65057?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107 + 108. Let c be x - -2 - 4*2\/(-4). Suppose 2*k - 10 = -2*y, 5*y = c*k + y - 16. Calculate the lowest common multiple of k and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*1\/(-3)*217980\/(-36330).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**2*s + 532*l**2 + 1631*l - s wrt l.\nAnswer: -4*s + 1064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*a - 4 + 4*a + 25 + 113*a**2 - 10 - 10 in the form m + q*a + d*a**2 and give d.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2671, 2672, 2673, 2674, 2675?\nAnswer: 2676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-2 - i**4 + 2) + 2*i**4 + 7*i**4 - 5*i**4 + 2 - 2*i**4 - 2 + (3 - 1 + 2)*(-2*i**4 - i**4 + i**4) - 2*i**4 + 59*i**2 + 4*i**4 - 66*i**2 - 2.\nAnswer: -2*i**4 - 7*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 17*z**2 + 3*z + 54. Let q be l(-17). Find the third derivative of 1 - 4*g**q - 2*g**3 + 1 - 2*g**4 + 10*g**3 - 27*g**2 wrt g.\nAnswer: -48*g + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 3*q. What are the prime factors of g(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 15. Let r(f) = 58*f**2 + 4*f - 3. Is r(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2487365 micrometers in meters?\nAnswer: 0.0000002487365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5175879991 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-1)\/(-4)*-2. Let y be 1 - ((-3 - -36) + 2). Let j be y\/(-18) + 6\/(-3). What is the closest to 1 in 0.4, j, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6) - (-80)\/(-12). Let m be (n\/(-7))\/(1\/7). Let i be m\/21 - (-22)\/(-28). Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 6:49 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 9*n - 2. Let h be d(-9). Let p be (4\/(-6))\/(h\/39). Let b(g) = -g**3 - 11*g**2 - 20*g - 97. Let k be b(-10). Solve -p = k*r - 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 159387 = 5*m, 5*m - 4*t - 26139 = 133255. Suppose -m = -107*v + 84*v. Does 33 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18921*j + 3*u = 18923*j + 6, -8*u = -11 - 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-18))\/(3\/9). What is the fourth biggest value in -3, 3, s, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -337, -1199, -2619, -4591, -7109, -10167, -13759?\n\"Answer: s**3 - 285*s**2 - 14*s - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17, 526, 1427, 2686, 4303?\n\"Answer: 179*f**2 + 6*f - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -130, 6, -5, 15 in descending order.\nAnswer: 15, 6, 5, 0, -5, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 62 (b) -31772 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 7*n - 5. Let f(l) = -l**2 + 6*l - 6. Let w be f(6). Let b be v(w). Let c(h) = 3 + 4 - b - 5 - h. Determine c(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/18*5\/(-3)*108\/(-630).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 1, -3, 2.91?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4199.723 rounded to the nearest 10?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 241593 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 7 = d, 4*d = 2*u - 4 - 4. Suppose -5*b = -13 - u. What is the first derivative of -t + b + t - 2*t wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1120 = 50*k + 174*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4362, 10426, 16490, 22554, 28618, 34682?\n\"Answer: 6064*p - 1702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*x - 12, -6 = 4*b - b - 3*x. Let a be -6*1 - 0\/2. Let n = b - a. Solve 0 - n = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spp when three letters picked without replacement from pppppppspss?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 497, 996, 1495, 1994, 2493, 2992?\n\"Answer: 499*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/(-16))\/((-11)\/44))\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 8:39 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9 - 0\/(-4))*(-1136)\/48 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200 and 31575350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 4 - (0 + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11021 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b + 2*b + 5 + 4 - 13 - 10. Determine s(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (94\/376)\/(((-1)\/16)\/(-1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -1 (c) -258 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z - 2*i + 20, 25 = -5*i. Let h be (-1)\/(-2) + z\/4. Solve m + 4 = 0, -4*m = -h*o + o + 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69083002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -80*a + 74*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 887753 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 81\/(1458\/180) - (-9)\/(-1). Let c(o) = -4*o - 18. Let h(m) = m + 1. What is w*c(f) + 6*h(f)?\nAnswer: 2*f - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - c - 24. Suppose 4*x - 88 = -64. Suppose 19*a = x*a. Give g(a).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 8 - 15*f to l*f + y and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*u - 13 = 5, 32 = 5*v - 3*u. Suppose -18 - v = -5*k. Solve -3*a = k*d + a + 6, d + 4 = 2*a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7541989 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -1cb742a4?\nAnswer: -1cb742a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 767*r*s**5 + r + 351*s**5 + 6283*s + 3 wrt s.\nAnswer: 15340*r*s**3 + 7020*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 16 - 2*v**2 + 24 + (-3 - 1 + 2)*(2*v - 2*v + v**2) + 3*v**2 - 5*v**2 + 0*v**2 as n + a*v**2 + s*v and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + k - 288. Suppose 77*d = k*d + 550. What is the greatest common factor of d and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t. Suppose 6 = -9*z + 11*z. Let j(i) = z*i + 3*i + 3*i - 5*i. Calculate j(u(r)).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 675*d**3 + 2*d**2 + 27 - 8 - 674*d**3 to the form h*d**2 + c*d + i + u*d**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) -7\/19 (c) -379 (d) -0.04 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 305225353323 - -0.4\nAnswer: 305225353323.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 323917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 255172 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + (-4*-1*sqrt(684)*6 - (sqrt(684)*2*3 - (sqrt(684) + -5 + (0 + sqrt(684) - sqrt(684)) - sqrt(684)))))*-3)**2.\nAnswer: -104976*sqrt(19) + 17953812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 477\/5 at least 95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b - 35. Let q be g(9). Suppose -16 = 4*w - 2*s, -5*w = -s - 2*s + q. Put -1, w, 1, -4 in decreasing order.\nAnswer: 1, -1, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1)*v)**(-15)*v**(-6)\/(v\/v**(-4\/9)))\/((v\/(v*((v**(-3\/7)\/v)\/v*v)\/v*v)*v**0)\/(v**(-1)*v**(-1))) assuming v is positive.\nAnswer: v**(-1630\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 50389395.7 to the nearest 10000.\nAnswer: 50390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 75758593 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: Calculate prob of sequence yi when two letters picked without replacement from {i: 4, b: 2, o: 3, y: 2, z: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 0 + c**2 + 0*c**3 + 0*c**4 + 1\/15*c**5 + 0*c. Factor f(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5925.38 from -2161.\nAnswer: 3764.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 540 - 1591\/3. Let v be 202\/22 - (-2)\/3. Let f = v - u. Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -209, 2, -129, 33, -3, -4 in ascending order.\nAnswer: -209, -129, -4, -3, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 118*d - 4247. Let m be h(36). Put 2, 0, -4, -8, m in decreasing order.\nAnswer: 2, m, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**5\/5 - 246*j**4\/5 + 14877*j**3\/5 + 31496*j**2\/5 - 46128*j\/5 = 0.\nAnswer: -3, 0, 1, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 3)\/((-1)\/7). Let k be 3*-1 - (-2 + f). Suppose 3*y + 5*w - 1 = k, 14 = 2*y + w. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*o - 9, -3*y - 2*o + 14 + 1 = 0. Suppose -11 = v + 3*k, 3*v + y*k + 3 = -0*k. Solve -2*s = -4*s - v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*b**2 - 6*b**3 + 166*b - 5*b**3 - 33*b**2 + 9*b**3 wrt b.\nAnswer: -12*b - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/20 and 95\/1846.\nAnswer: 18460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2 = -10. Let b(l) = -l**3 + 7*l**2 - 6*l + 1. Let d be b(6). Suppose -i = -k + d. Solve -4 = -3*a + k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (11 - 1 - (-5 - -8)) - (-44 - -27)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 0.7. Let f be 24\/63 - 2\/(-7). Let k = -24 - -22. What is the nearest to f in k, 3\/4, i?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/3 - 136*s\/3 - 741.\nAnswer: -(s + 19)*(s + 117)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-1005001\nAnswer: -1005001.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 84186*c**2 + 127902.\nAnswer: 168372*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -103666.46 rounded to the nearest one thousand?\nAnswer: -104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-27 + (8 - (-7 + 14)) + 5).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -6 + o + 2 + 1 + 0. Let i be p(6). Solve -2*m - i*s = 16, s = -m + 6*s + 18 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 10:28 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 26591\nAnswer: -3\/26591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**5\/13 - 772*t**4\/13 - 10314*t**3\/13 - 23948*t**2\/13 + 3112*t\/13 + 31920\/13 = 0.\nAnswer: -10, -2, 1, 399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0, 1\/35, -4, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 8*r**2 - 8*r - 184. Calculate p(-9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 210?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 3*u**2)*(1 - 5 + 5)*(19584*u - 19584*u + 381*u**2) in the form f + t*u**4 + p*u**2 + l*u + s*u**3 and give t.\nAnswer: 1143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115 and 3910?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Suppose l = 7*k - 2*k + 20. Let c(b) = b**3 + 4*b**2 + 4*b + 3. Calculate c(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 52\/14 + 2\/7. Let v(i) = -i - 3. Let u be v(-9). Let p = u + -1. Solve -p = -r*s + 11 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*v - 486 = -381 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1728*p**2 - 2884 - 86 - 3359*p**2 - 338*p**3 + 339*p**3 + 1569*p**2 with respect to p.\nAnswer: 3*p**2 - 7036*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (4 - (-116)\/(-4)) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.106 - 0.306. Which is the closest to x? (a) -1\/4 (b) 0.4 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 1389 = -971. Suppose -3*t + 608 = -2*m - 2, -m + 4*t - r = 0. Let q = m + 518. Is 33 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -56 - 8. Let v be 18\/12*f\/(-6). Let p = 0.3 - -0.2. What is the second smallest value in v, p, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6, -6, 2, 24, 66?\n\"Answer: x**3 - 2*x**2 - x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/3504 and 7\/38544.\nAnswer: 38544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141910 divided by 5.\nAnswer: 28382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 28035942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -110100110 (base 2) to base 14\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -521, -519, -509, -485, -441, -371, -269?\n\"Answer: s**3 - 2*s**2 + s - 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*s + 9 = 0, -2*s = 3*z - 0 - 3. Let g = 1 - 3. Which is the nearest to z? (a) -4 (b) g (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4109232537?\nAnswer: 3, 17, 26857729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 1:00 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 k when four letters picked without replacement from {d: 10, k: 4}?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 8:09 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -29*z**3 + 1 + 60*z**3 - 32*z**3. Let y(r) = -6*r**3 + 2. Give 4*j(d) - y(d).\nAnswer: 2*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04 and 4.49.\nAnswer: 4.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**9*n)\/n)\/n*n*n)\/(n*n**(3\/8)\/n))\/((n\/n**(-10))\/(n\/(n**(-9)\/n))) assuming n is positive.\nAnswer: n**(77\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*z = 10, z - 10 = -3*d. Is 52 a factor of (-299)\/(d - 5) - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195089 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140\/50)\/((-171)\/95 + (-6)\/(-2)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**3 - 24*h**3 + 9*h**3 + 11*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190897226 - 1499682.\nAnswer: 189397544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 976a900?\nAnswer: -976a8a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18090, -18133, -18176, -18219?\nAnswer: -18262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 546565 to the power of 1\/2, to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g + 27. Give m(10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 14*i**3\/5 + 2*i**2 - 88*i\/5 + 24\/5 = 0?\nAnswer: -3, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 + -0.06. Let m = -0.108 - -0.608. Which is the second smallest value? (a) z (b) -0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjbjbjjbjbj.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.633583717 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6462\/108 + (-5)\/6. What is the highest common factor of t and 354?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 z when three letters picked without replacement from zzzxvvrxxvvxzrvrrrk?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2162*y + 171. Let c(w) = 12446635*w + 984504. Let l(m) = 3*c(m) - 17272*o(m). Let r(s) = s**2. Determine r(l(j)).\nAnswer: 4661281*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -3*s - 4*p, 0*s - 67 = -3*s + p. Calculate the highest common factor of 299 and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y - 17. Let u be l(-11). Find the second derivative of -6*n - 287 - u*n**4 + 287 wrt n.\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -607 + 2308 = -770*z - 4459 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/10 + (-13)\/(-5). Let c be (-1)\/(-2)*(-1 - -1). List the prime factors of 0 - c - (-5 + a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1131*r + 822*r - 628*r - 971*r - 578*r to the form n + m*r and give m.\nAnswer: -2486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39 or -7180?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.8, 0.6, -4, -5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -21\/4, 0, 12, -4 in decreasing order.\nAnswer: 12, 0, -0.1, -4, -21\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 535 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/2736 and 109\/912.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/3))**46*g*g*g\/(g*(g**(-1\/7)\/g)\/g*g)*g*g**(-11) assuming g is positive.\nAnswer: g**(1466\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.2, -2\/17, 0.4 in ascending order.\nAnswer: -5, -0.2, -2\/17, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4140 + -4136. Put 8, f, -1, 3 in increasing order.\nAnswer: -1, 3, f, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjxqqxqqqcqccjxcxxx. Give prob of sequence cj.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1863 + 2095. Calculate the remainder when x is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/4 + 99*o\/4 + 87.\nAnswer: 3*(o + 4)*(o + 29)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*u**5 + 12*u**3 - 1104*u**2 + u**4 + 50*u**5 - 120*u**5 - u**4 wrt u.\nAnswer: -5700*u**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 450254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 3:35 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + w - 1. Let z(d) = -5*d**2 + 8*d - 9. Let x(g) = -14*h(g) + 2*z(g). Calculate the remainder when 28 is divided by x(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 a when two letters picked without replacement from {b: 1, a: 6, z: 1, v: 6, t: 1}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 10 = -3*b - i, 0 = i - 1. Let s(h) = -3*h**b - 3 + 4*h**2 - 5*h + 3*h - 1. Give s(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -204 + 243 + (20 - (0 - -2)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 672 = -657 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 34*o - 2174. Let j be h(64). Solve 0 = j*p - 20*p + 18 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/858*-22*(3\/(-2))\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*m = -37*m + 58221. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -242007 (base 10) to base 9\nAnswer: -407866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/5 - 127506*m**2\/5 - 2031903702*m\/5 + 2032541282.\nAnswer: -2*(m - 5)*(m + 31879)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(324)*2*6)\/sqrt(12) - (sqrt(297)\/(sqrt(22)\/sqrt(2) + sqrt(11)) + (-5*sqrt(54)\/sqrt(2))**2)).\nAnswer: -675 + 69*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpxovvoskooo. Give prob of sequence poxk.\nAnswer: 1\/2376","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 59\/6*s**3 - 1 - 5*s**2 + 31\/12*s**4 + 0*s. Is r(21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5577166873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3293914?\nAnswer: 2, 13, 151, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2126 and -11864.\nAnswer: -25222864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 754 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.22 * -112.9\nAnswer: 24.838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4625.2*0.4\nAnswer: 1850.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 208354813519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4) + 0\/23. Let n = -456 + 452. Suppose 2*z + 4 = 2. What is the second biggest value in z, b, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421877861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -5, -0.2, 0.1, -3.9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00441 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (3 - (-26)\/(-2)). Suppose 2*p + 0 = -t. List the prime factors of 24 + (-1 - p) + -3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*525\/(-125)*-5\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -226.981 and 0.05?\nAnswer: -11.34905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6)**(16\/7)\/(p\/(p\/(p**(2\/5)*p))*p*p**(5\/3)) assuming p is positive.\nAnswer: p**(1013\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 10:56 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, e: 7, q: 6}. What is prob of picking 4 q?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 0. Let n be (0 - -2) + f - (4 + -36). Is 34 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1172 - -1171.89. Suppose u + 4*u = -2*v - 20, -16 = 4*u. Let i be (v + 6\/105)*5. Which is bigger: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - w - 104 = -112, -2*r + 5*w = -28 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10199532?\nAnswer: 2, 3, 7, 29, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 7, t: 2}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71.06918 litres?\nAnswer: 71069.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 756 = 10*s - 2654. Calculate the remainder when s is divided by 50.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2415 or -2406?\nAnswer: -2415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 50*n**3 + 92*n**3 + 2*n - 2*n**2 - 38*n**3 - 29*n**2 - n**4 to the form o*n**2 + s*n**3 + f*n + g*n**4 + a and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.334 and -44.02.\nAnswer: -36.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28278 is divided by 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**3\/2 + 4683*m**2\/2 + 182610*m + 3094000 = 0.\nAnswer: -52, -25, 4760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*v + 5 = 5*c, 4*c - 3*v = 25. Let h(z) = z**3 - 4*z**2 + z + 1. Let r be h(c). Solve r*s = g - 2, 2*s - 10 = 4*s - 5*g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a**3 - 6*a**2 - 23*a - 1. Let c(y) = 7*y + 1. Let k be c(1). Let d(g) = -2*g**3 - 2*g**2 - 8*g. Let r(w) = k*d(w) - 3*n(w). Calculate r(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 191, -6, 3, -1 in decreasing order.\nAnswer: 191, 3, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g + 2*g + 2*g + (-1 + 4 + 1)*(g - 2*g - g) + (0*g + 4*g - 3*g)*(-4 + 2 + 1).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 divided by 69?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*g, 0 = -z - 0*g + 2*g - 15. Let i be 2\/13 + (-37)\/z. Let a be (-2)\/i + 52\/132. Which is smaller: a or -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 494, -20 in increasing order.\nAnswer: -20, -5, 0, 494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50.4 - 66. Let l = 82.6 + y. Let f = -66.999938 + l. Round f to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1508, -7.\nAnswer: -7, 1, 1508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -167494 (base 10) to base 11\nAnswer: -104928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*b + 15*b + 8*b.\nAnswer: 59*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 10 in descending order.\nAnswer: 10, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kye when three letters picked without replacement from {e: 2, h: 1, y: 2, k: 4, f: 5}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 2 + 3*m**3 - 5*m**3 - 5.\nAnswer: -2*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1113 by -6.\nAnswer: -371\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*o + 90. Suppose 2*z - o = 4*z. Let c = -5 - z. What is the lowest common multiple of c and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15401742?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3416 and 5368?\nAnswer: 37576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-33 + 36)*15\/117. What is the smallest value in 0.5, -3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (80\/(-30) - -3)*9. Factor 0*l + 4\/3*l**4 + 0*l**2 - 4\/3*l**g + 0.\nAnswer: 4*l**3*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 47 + 16 + 32 + r - 771*r**2 + r.\nAnswer: -771*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 less than or equal to -200\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 125\/2*g**2 - 3*g**3 + 0*g**4 + 0*g - 4\/3*g**6 + 0*g**5 + 70. What is the second derivative of q(p) wrt p?\nAnswer: -160*p**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*k**3 - 34*k**3 + 52*k**3)*(4*k - 4*k + 2*k).\nAnswer: 100*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 33*x**5\/5 + x**4\/4 + 53*x**2\/2 + 65. Find the second derivative of z(y) wrt y.\nAnswer: 396*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 0) + (-31 - (-17 - 11))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26\/17 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 17, 3, -8, -12644, 4, 5 in decreasing order.\nAnswer: 17, 5, 4, 3, 2, -8, -12644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 3 in ascending order.\nAnswer: 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67088 is divided by 159.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -823700000 to the nearest one million.\nAnswer: -824000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 62 and 1.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -176 - -191. Which is the nearest to 1? (a) z (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.95265 years to months.\nAnswer: 455.4318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 22 (b) -2\/7 (c) -2 (d) -9 (e) 243 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*b - 155392 = 174966. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 11. Let w be h(9). Suppose 0 = -4*m + 2*v + 56, -m - 3*v - w*v + 3 = 0. Find the first derivative of 9 + m*i - 24*i - 3*i wrt i.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 3054722.\nAnswer: -5, 0, 3054722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -2. Let b(w) = -w**3 + 2*w**2 + 9*w - 1. Let o be b(4). Sort 1, o, r in descending order.\nAnswer: o, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*i**2 + 436*i**2 + 327*i**2)*(2 - 2 - 2*i + (-4 + 4 + 2*i)*(-2 - 4 + 5)) - 8*i**3 + 2*i**3 - i**3.\nAnswer: -2855*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*y - 7 = -165*y - h, -3*y + 3*h - 15 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/10, 0.61, -2?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + 637 - 1726 = 0. What is the third derivative of -p**2 + n*p**5 + 26*p**5 + 23 - 57*p**5 wrt p?\nAnswer: 4080*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/5 (b) 23.87 (c) 4\/121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 2:12 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.8585 and 3.\nAnswer: 2.1415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7695 by 1539.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3206.91642 and -0.78449?\nAnswer: 3207.70091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8\/q)\/q**(1\/6)*q*(q*q*q**8\/q)\/q*(q**4\/q*q)\/q*(q**(-2\/25)*q\/(q*(q*q**0)\/q)*q)\/(q**(2\/5))**(-36) assuming q is positive.\nAnswer: q**(5123\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 543 = -74*t + 238 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-243)\/36)\/(((-108)\/(-12))\/36)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 740 divide 3232320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*v**5\/5 + 27*v**4 + 243*v**3\/5 + 33*v**2 + 36*v\/5 = 0. What is v?\nAnswer: -4, -1, -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -3\/2*t**2 + 4*t + 0 - 1\/12*t**4 + 7\/6*t**3. What is the units digit of f(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-8)*(888\/5365)\/(-6)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 3*l**2 - 2*l - 4. Let m be j(4). Suppose -3*a = 1 - m. Suppose 5*v = 59 + a. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkkzkkhkohhzkkzkhh. Give prob of picking 2 k and 2 z.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226089280?\nAnswer: 2, 5, 151, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -18. Find the third derivative of 3*z**x - 3 + 3107*z**4 - 3128*z**4 - z**2 wrt z.\nAnswer: -504*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -234.83, 2\/3, 0.08, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -680 by -2.\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 4, -4, -5, 0 in decreasing order.\nAnswer: 51, 4, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 4*s**2 + 3*s + 3. Suppose 2*k + q + 23 = 0, q - 42 = 3*k + 5*q. Let w be 60\/50*k\/3. Give x(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 9:50 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 27*i + 2. Let b(o) = 41*o + 3. Let a(j) = -2*b(j) + 3*h(j). Let n(p) = p**2 + 1. Let f(s) = 42*s**2 - 2. Let w(l) = f(l) + 2*n(l). What is w(a(q))?\nAnswer: 44*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10210020001202 - -110?\nAnswer: 10210020002012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -562*f + f**2 + 279*f + 283*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*w - 2*w + 7, 4*w + 2 = -5*g. Calculate the remainder when 5 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 8:02 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/110*1)\/(2\/10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/10 of a tonne?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o - 5*o - 14*o + o as y + w*o and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 19. Let a be (170523\/y)\/(3\/(-4)). Let m = a - -122894. What is m rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1539) + sqrt(1539) + sqrt(1539) + 1))**2 + sqrt(1539) + 5 + -4 + (1 + sqrt(1539))**2*-6 + 5 + -2.\nAnswer: 765*sqrt(19) + 212396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2206 (base 7) to base 2.\nAnswer: 1100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p**3 - p**3 + 4*p**2 + 5*p + 10*p**3 - 5*p**3 + 13. What is the tens digit of w(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 14*q + 1164. Let j(o) = -5*o - 387. Determine 11*j(b) + 4*r(b).\nAnswer: b + 399","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3019 + -2329. What is the least common multiple of 50 and j?\nAnswer: 3450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*f + 17 = 0, -4*f = 2*d - 0*d - 74. Let y = -25 + d. Find the common denominator of y + -2 + 11\/27 and 16\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 9*w - 17*w + 100 + 9*w. Does 26 divide u(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.085 - -0.385. What is the closest to 0.07 in 2\/9, v, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 18*p**3 + 99*p**2 - 99*p**2 to the form r*p + q*p**3 + w*p**2 + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.051 - 0.349. Let y = -22 + 23. Which is the smallest value? (a) y (b) x (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/280)\/(3*6\/45)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 25 = -3*c - 3, 3*h - 21 = -3*c. Let k = c - 1. Let 2\/7*w**3 - 3\/7*w**4 + 2\/7*w**2 + 1\/7 + 1\/7*w**k - 3\/7*w = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/30 and 149\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260\/(-480)*2912\/(-6370)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -3 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjj when three letters picked without replacement from {j: 9, b: 7}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + sqrt(96)\/(sqrt(32)\/sqrt(4))))**2.\nAnswer: 432*sqrt(3) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 5:07 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1639, -1613, -1517, -1315, -971, -449?\n\"Answer: 6*o**3 - o**2 - 13*o - 1631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 5*m. Let c(h) = 5*h**2 - 20*h + 1. Let v(p) = 2*c(p) + 9*r(p). Let w be v(-6). Solve -w = 5*t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 1, 70\/7023 in decreasing order.\nAnswer: 4\/3, 1, 70\/7023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**3\/3 - 5*z**2\/2 - 6*z. Let q be 7 + (-2 - -3) + -1. Let p(i) = 3*i - 9. Calculate q*g(r) - 4*p(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0081 - -213.0081. Let u = m + -213. Which is the third biggest value? (a) 1 (b) 2\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32911*n**4*u + 28*n**2*u**3 + 115*n*u**3 + 2*n*u**2 - 301*n + u**3 + 3 wrt n?\nAnswer: 394932*n**2*u + 56*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + b + 0*b + b - 4*b + b + (3 - 3 + 2)*(-5*b + 0*b + 3*b) - b - 3 + 3 - 3 + 2*b + 3 + b + 2 - 2 - 3*b - b - b + 0*b + 2*b + 0*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 922 to the nearest integer.\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628684296?\nAnswer: 2, 3, 673, 38923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6723, 6836, 6949, 7062?\n\"Answer: 113*k + 6610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*d - 21. Let b be d\/45 + (-44)\/(-30). Suppose 3*l - 3*j = 9, -2*l - 6 = j + 3*j. Which is bigger: l or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/(x\/x**(-11)))*x**19*(x\/(x\/(x**(-2\/3)*x)))**(-4) assuming x is positive.\nAnswer: x**(89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 5*w = 4, u - 66*w + 71*w - 11 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*f + 58, 3*p + 42 = 2*f + 4. Suppose 4*z = 3*z + 3. Suppose r - f = z. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -7*t**2 + 21*t + 6. Let k(m) = m**2 - 1. Give -h(z) - 6*k(z).\nAnswer: z**2 - 21*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (-19 - -23) - 25) + 22 + 70\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12822663?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 584*u**3\/3 - 8*u**2 - 9*u + 1. Let l be i(-13). Round l to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 2*m**2 - m + 1. Determine l(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/6 - 5\/6. Let l be (-52)\/(-65) - (-11)\/(-20). What is the third biggest value in 5, u, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 6*g - 7. Let n(k) = k**2 - 5*k - 3. Let o be n(6). Let m = o + 0. Is 4 a factor of c(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, h: 1, u: 1, o: 1, i: 4, g: 1}. What is prob of picking 1 u and 1 i?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**3 + 2*t**3 + 4*t**3)*(45 - 24 + 35).\nAnswer: 56*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-344)\/(-32) + (-2)\/(-8). Let r = t + -5. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 q when four letters picked without replacement from {e: 1, q: 4, w: 2, a: 2, c: 3, k: 2}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -67, -88, -113, -136, -151, -152, -133?\n\"Answer: c**3 - 8*c**2 - 4*c - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaqpaaqqp. What is prob of sequence qpp?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 182\/2567337?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g + 27 = -57. Let u be 14\/g - 4*(-25)\/40. Sort 5, u, 4 in descending order.\nAnswer: u, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d - 15901 - 32839 = 0. Let p = d + 7400. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58*(2874\/(-9580))\/((-3)\/(-5)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -12, -37*x + 5*p = -35*x - 820. Let a be ((-3192)\/x + 8)*132. Is a >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-11)*l**(-6))**0 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*f + 5*f = 91*f - 1428 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 - -69. Suppose -12 = 4*b + 5*l, 17 = 4*b - r*l - 11. Suppose z - 4*p - 72 = 0, -2*p - b*p - 124 = -2*z. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r**(-3)\/r)\/r)*(r**(-2\/3)\/r)\/r*(r**2)**11)**(-17\/2) assuming r is positive.\nAnswer: r**(-646\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 - 3*j + 7. What is k(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 + 6dd?\nAnswer: 70d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 3*s - 10 = 0. Let l(h) = -h**2 - 12*h + 2. Let j be l(-12). Suppose 0 = -5*p + s*r + 14, 3 = -3*p + 3*r + j*r. Solve -2*z + p + 2 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1770032 + -0.4?\nAnswer: -1770032.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2\/2 - 22*r + 363\/2 = 0. Calculate r.\nAnswer: 11, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 - l - l + 169*l**2 - 98 - l**3 + 0*l - 166*l**2 to the form r + k*l**3 + y*l**2 + t*l and give r.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 20 = x, -5*f - 50 = -5*x - 0*f. Suppose -9 = 4*i + g, -2*g + 0*g = x*i + 15. What is the units digit of 0\/i - 15\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2135.4 - 2135. What is the third smallest value in 4, p, -3\/88?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssusssussss. Give prob of picking 2 u and 1 s.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n - 4. Let p be ((-8)\/(-4))\/((-1)\/(-2)). Let m = p + 4. Calculate the remainder when t(-7) is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8\/189 - 5\/27. Let s(r) = r + 1. Let y be s(-2). Is y smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 315 + -314.9868. Let c = h + 0.2868. What is the closest to -2 in -2, c, 2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 8 = n. Let j be (3 + 2 + -5)\/(-1). Sort 4, n, j, -5 in descending order.\nAnswer: 4, n, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(10\/3)*i)**(15\/8)*((i**24*i)\/i)\/(i**(-16\/5)\/i) assuming i is positive.\nAnswer: i**(1103\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 2 = -y, y - 5 = 5*z - 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20474*s**2 + 20493*s**2 - 40968*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 6*c + 33. Let y be o(11). Let r = 276 - y. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21311319*q**3 + 2*q**2 + 212078955*q?\nAnswer: -127867914*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 46*u - 47*u = -189956, n + 2*u - 47489 = 0. What are the prime factors of n?\nAnswer: 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 + 4*m**3 - m**3 + (-2*m**2 + 6*m**2 - m**2)*(627 - 627 + 260*m + (m - 4 + 4)*(-4 + 6 + 0)).\nAnswer: 788*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 + 15 = 11*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otaaotoattottt. What is prob of sequence to?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/19866210 and 197\/85577520.\nAnswer: 1112507760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(117) + -1 + sqrt(117) - sqrt(117))**2*-4 + ((sqrt(117) + (-1*sqrt(117) - sqrt(117)) - sqrt(117))*-1)\/(1*sqrt(225)).\nAnswer: -472 + 122*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456 = -13*a + 10*a. Suppose 5*b = -2*y + 1817, -y - 1099 = -4*b + b. Let m = a + b. What are the prime factors of m?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 219.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -9*g**3 - 75*g**2 + 141*g + 227. Is i(-52) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82828 divided by -26.\nAnswer: 41414\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 - 34*z.\nAnswer: -2*z*(z + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 179773, 359710, 539647?\n\"Answer: 179937*g - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2054, -2045, -2048, -2069, -2114, -2189, -2300?\nAnswer: -2453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -s + 9, 2*l - 22 = 2*s - 2*l. Let x = s - -4. Suppose 5*h = -10, 0 = x*d - 3*h + 2*h - 149. What is the greatest common divisor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25967 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: Let n(g) = -4*g - 6. Suppose 5*m - 7 = 23. Suppose m*u + 6 = -12. List the prime factors of n(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.047, 9, -2\/21, 510252 in decreasing order.\nAnswer: 510252, 9, 1, 0.047, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 151*t**2 + 149*t**2 + 0*t**3 - 11*t**3 - 2*t**3 - 2*t to j*t**3 + y*t + l*t**2 + p and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 2*z - 69 = 0, -4*z - 48 = 587*r - 583*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {c: 2, z: 3, e: 4}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 7:40 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -123*j**3 + 986*j**2 - 33*j + 181. Determine g(8).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**4\/4 + 956*k**3 - 1370904*k**2 + 802*k + 1. Factor l(s).\nAnswer: -3*(s - 956)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 53 + -16 - 7\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.1 + -13.1. What is the closest to 2 in v, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 51 = -2*t. Let g = -51 - t. Let v(p) = 2*p - 4*p - 2 + p. Give v(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 * 3\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.26199912 - -0.262. What is x rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 25, -10*i = 5*c - 13*i - 3515. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*p**2 - 5*p**2 - p**2 - 27*p - 4*p**2 in the form u*p**2 + b + w*p and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -180, -3, 6 in increasing order.\nAnswer: -180, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, q: 3, k: 12}. What is prob of picking 1 k and 1 q?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 98411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -224 - -5003?\nAnswer: 4335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**6\/40 + n**4\/12 + 13*n**2. Find the second derivative of x(s) wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14190 is divided by 54?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/238 and -5\/14.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.643 + -0.147. Let i = n - -0.29. Sort i, -0.2, -1 in decreasing order.\nAnswer: -0.2, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 834979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 862 - 145 + 15*g - 136 - 149 - 144 - 143 - 146.\nAnswer: 15*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 2.3, 12, -1\/5, 0.3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.054 and 361998.\nAnswer: 361998.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 9 + 21 + 0 + -10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (6 + -5 + (4 + -5 - -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.472462?\nAnswer: -0.0944924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618722 is divided by 17673.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*r + 73*r**3 + 110*r**3 + 29*r + 29*r as y*r + b + c*r**2 + q*r**3 and give q.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -1) + (118 - 106)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -y, h - 6*h - 3*y - 6 = 0. Suppose h = 15*c - 622 - 278. Calculate the greatest common factor of 45 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 49, 0, -5, -815 in descending order.\nAnswer: 49, 2, 0, -5, -815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*b - 11*b + t - 1, -4*t - 11 = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 191*u. Let t be a(-1). Let g be 5 - 4 - t\/3. Let v = g - 64. Which is smaller: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-4 + 3 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -36. Let m = 658 + j. Does 30 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -20230?\nAnswer: -20221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -r - 3*d + 4, -2*d = -r - 4. Solve -3*n - 25 = r*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - -3)\/(-10)*-1. Let r = 11.3 + -11. What is the second smallest value in r, u, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**3 + 135*v + 4. Let a(o) = 3*o**3 - 135*o - 5. What is -4*a(z) - 5*p(z)?\nAnswer: 3*z**3 - 135*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 9*s**3 - 29)*(-4*s**2 - 2*s**2 + 7*s**2 + 4*s).\nAnswer: 9*s**5 + 36*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 696*y - 700. What is s(-695)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1404*s + 868*s**2 + 3888 + 1140*s**2 - 1888*s**2 + 3*s**3.\nAnswer: 3*(s + 4)*(s + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a = -3*c + 13, -c - 5 = -5*a. Suppose 5*g = i + 4, i - 4*g = -g + a. Let x = i + -6. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -2\/15, 4, -164\/21?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 6)*(-3 + 4 - 2)*(29*c - 768*c**2 - 23*c - 8*c) as u*c + s*c**2 + b and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 - 6)*(-3*u - 2*u - 1 + 7*u).\nAnswer: -16*u + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106 and 15514.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -518 in 2, 460.1, 4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -439.54902016\nAnswer: -440.04902016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 7*i**2 + 2. Let k be j(7). Suppose k*n + 0*n = 0. Put n, 3, -5 in descending order.\nAnswer: 3, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k - 1. Let a = 47 + -48. Let l(y) = -7*y + 7. Let r(q) = 27*q - 27. Let z(f) = -15*l(f) - 4*r(f). What is a*z(g) + 3*j(g)?\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + (sqrt(24) - (sqrt(24) + (sqrt(216) - (sqrt(216) - sqrt(216)*1) - sqrt(24) - sqrt(24)) - sqrt(24))))\/((sqrt(192)\/sqrt(4))\/sqrt(6)) + 1.\nAnswer: 1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*v - 2*p, 5*v - 5*p - 120 = -10. Let a = 21 - v. Solve -6*u + a*u = -2*r - 2, -9 = 4*r + u for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 6*w**2 + 3*w + 7. Let k be r(5). Let j be k*((-4)\/12 - -3). Let b be 2\/j + (-1)\/(-4). Solve 2*p + 25 = 3*v, b = v + 2*p - 6*p - 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 22*q + 17. Let v be r(4). Suppose -26*m + 41*m = -v. Is m smaller than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25645 (base 7) to base 10.\nAnswer: 6844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(-2)\/(-75) - 24448\/(-15). Suppose -j + f = 602. Suppose -3578 = -10*g - j. List the prime factors of g.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5707014748 to the power of 1\/3, to the nearest integer?\nAnswer: 1787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z. Let p(x) = -4690753*x**2. Calculate p(g(d)).\nAnswer: -18763012*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110265, 220396, 330527, 440658, 550789?\nAnswer: 660920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 - -1.3. Let o = y - 1.2. Let t = 0.7147 + -0.3147. Which is the second biggest value? (a) 1\/2 (b) t (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (-7)\/(21\/18). Let r = d + 3. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -586.93849 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052970596 rounded to four dps?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -11*h**7\/210 + 7*h**4\/24 + 14*h**3\/3 + 71*h**2. What is the first derivative of d(k) wrt k?\nAnswer: -44*k**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1144 = -g - r, 3*r = -g + 8*r + 1138. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7 - -16 - 192\/(-160)*-5. Let -8\/5*z + 0 + 4*z**s - 12\/5*z**2 = 0. Calculate z.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + sqrt(432).\nAnswer: -7 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, e: 5}. Give prob of sequence eeen.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 387277885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/7 - 1) + (-5 - (-21 - -14))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**2 - 6*i + 11. Let z(t) = t**2 + 1. Let u(a) = -g(a) - 4*z(a). Let m be (-58)\/6 + (-8)\/(-12). Let l be u(m). Solve 5*o = 3 + l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28474, -28412, -28312, -28174, -27998, -27784?\nAnswer: -27532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 g when four letters picked without replacement from {h: 1, u: 3, z: 1, m: 3, g: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 3 = -12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-6))\/(-108)*18\/63*7\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6, 27, 60, 105?\n\"Answer: 6*s**2 + 3*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 times -1348546?\nAnswer: 70124392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 0*o - 5 - 3*o - 3 + 5*o. Let n be x(6). What is the greatest common divisor of 44 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 9*h**2 + 11*h - 14. Let c be a(10). Let q(w) = w. Let u be q(c). Let t be (-14)\/u - 1\/(-2). Solve f - 2*f - t = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111 (base 2) to base 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2509883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-20))\/(4\/(-40)). Suppose 0*i = u*o + 4*i + 4, -5*o + 3*i = -19. Solve -14 = 2*v + o*j, -3*j = 3 + 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 27*h - 74. Let r be d(3). Let w(c) = 19*c - 26. Let t be w(r). Which is bigger: t or 106?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 71.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63.154 - 1.254. Let n = w + -61.8. Put 0.16, 0.5, n in decreasing order.\nAnswer: 0.5, 0.16, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9272, -37111, -83522, -148505, -232060?\nAnswer: -334187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 18 = 2*w, 11 = -z - 0*z + 3*w. Suppose -3*u + 4*u + 384 = z*s, 0 = 2*u. Let f = 8 + 4. What is the greatest common factor of f and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 58*g**2 - 217*g - 378. Determine k(54).\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -274, -323, -408, -535, -710, -939, -1228, -1583?\nAnswer: -2010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, i: 2, r: 8, e: 5}. Give prob of sequence rr.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31796 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 3*i**4\/8 + 559*i**2. Let v(q) = 26*q - 2. Determine v(j(z)).\nAnswer: 234*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -2*h**3\/3 - 3. Let n(s) be the second derivative of 0*s**2 + 1\/4*s**4 + 0 + 0*s**3 - 6*s. Give k(n(z)).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*o**3*r - 6*o**3 - 2*o**2*r - 358*o + 520*r wrt r.\nAnswer: 4*o**3 - 2*o**2 + 520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22975367 + 317*t + 22975367.\nAnswer: 317*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -118?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 4:14 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x. Let a(h) = -16494886*h. Calculate a(j(t)).\nAnswer: 16494886*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {n: 2, z: 5, d: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-5))\/(2\/(-10)). Let z = 37 - y. Solve u - z = 5*u - 3*i, -3*u + i - 17 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1314 and 11577 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 2*u + 72 - 17 - 11.\nAnswer: 2*u + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*(-4)\/(-24)*69. Let a = -43 + u. Find l, given that -1\/2*l**4 + 1\/2*l**a - 1\/2*l + 1\/2*l**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/2*y**4 + 948*y + 312*y**3 + 633\/2 + 945*y**2 = 0. What is y?\nAnswer: -1, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 27*c - 162. What is p(-7)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7)*d*d)**(-16\/9) assuming d is positive.\nAnswer: d**(-64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)\/(r**8\/r))**(1\/7)*((r**(-7)\/r)\/r*r**3)\/((r**(3\/4)\/r)\/(r*r**(-3)*r)) assuming r is positive.\nAnswer: r**(-241\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 215, 425, 625, 809, 971, 1105, 1205?\n\"Answer: -g**3 + g**2 + 214*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 4\/7 (b) -0.03 (c) 4\/65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.06 + -2.8. Let o = a + 1.74. Sort 0, 0.3, -5, o in increasing order.\nAnswer: -5, 0, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 6*k**2 - 5*k - 6. What is the remainder when 13 is divided by x(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4242 (base 5) in base 10?\nAnswer: -572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 1611280370861642?\nAnswer: 1611280370861640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 96031.73 nanometers in millimeters?\nAnswer: 0.09603173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2\/73))\/z**(-37)*(z**40\/z)**(-11\/8) assuming z is positive.\nAnswer: z**(-9109\/584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**4\/12 + 212*h**2. Let n(r) = -9*r. What is n(j(z))?\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 738863631 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 454 - 454.1885. Round v to three dps.\nAnswer: -0.189","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*-3)\/(18\/(-336)). Suppose 5*y - u + 4*u - 34 = 0, 4*u + 40 = 4*y. Calculate the greatest common factor of y and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.7 from -1477.\nAnswer: -1476.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 8604.\nAnswer: 86040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*d = 3303*d + 57933 + 31923 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/4963 and 63\/5672?\nAnswer: 39704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 - 40. Suppose -3*v + 4*o = -71, 50*o - 11 = -v + 45*o. Calculate the greatest common divisor of v and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/sqrt(216) + (sqrt(19) + 2)*1.\nAnswer: 2 + 7*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1256 (base 8) to base 3\nAnswer: 221102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, u: 13}. Give prob of picking 1 x and 1 u.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -133*h**3 + 4*h. Let v(b) = -31921*b**3 + 959*b. Give 959*c(n) - 4*v(n).\nAnswer: 137*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*p**2 - 33 - 52*p**2 + 37 - 9*p.\nAnswer: -35*p**2 - 9*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1117, 1020, -305, -2852, -6615, -11588?\nAnswer: -17765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -51465\nAnswer: 154395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = 3248 + 15. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -1. Let u be (r - 11)*8\/(-20). Find the second derivative of -x**u - 8 - 3*x + 8 wrt x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-52)\/39 - 1\/(-1). Is u >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.09 and 0.0226502.\nAnswer: -0.0673498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 43*o + 441. What is p(9)?\nAnswer: 828","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*d - 15 = 118*d. Suppose -652 = -2*j + 3*a, -813 - 175 = -d*j + 2*a. List the prime factors of j.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 6 - (-1)\/((-2069406)\/(-188127) - 11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25897 is divided by 465.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -154535 (base 6) in base 11?\nAnswer: -10570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.99 - -0.01. Which is the second biggest value? (a) -2\/5 (b) -2 (c) 5 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 0, 2*b - l = 3*b + 265800. Round b to the nearest 10000.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -345 - -524?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-12))\/((-4)\/16). Let i = -0.113 + 0.054. Let l = i - 0.341. What is the smallest value in l, 2\/11, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 2, 185, -0.03, 2\/55?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 116776675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-164)\/(-9) + 4\/(-18) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.4, -0.08, 38\/3?\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 77*q = 80*q + 14, 0*p - p + 26 = -7*q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82 - 84. Which is the nearest to z? (a) 5 (b) -1 (c) 1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71545.\nAnswer: 5, 41, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 796 * 2.52405.\nAnswer: 2009.1438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 497ba (base 12) in base 14?\nAnswer: 28458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 150605*o - 150696*o - 2002 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-18 + 2 - -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -13*j**4\/4 + 22*j**3\/3 - 1350*j + 109. What is the derivative of x(w) wrt w?\nAnswer: -39*w**2 + 44*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 11*n**2 + 9*n + 10. Let b be c(10). Let s = b + 2. Suppose 0 = s*w - 5 - 29. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 + 81. Suppose x = 0, 2 = 3*h + 4*x - t. Is (-624)\/(-28) + (-4)\/h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7.1 from 84.304027.\nAnswer: 91.404027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 8 - 143*h**2 - 8562*h**2 - 3 to the form o + u*h + j*h**2 and give j.\nAnswer: -8705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 166754 = 1546. Suppose 4*y + p = 5*f - 3458, -4*y + 17507 = 5*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.72 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275 = 4*b + r, -2*b - 4*r + r = 145. Let l = b - -108. Suppose p = -4*p + l. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 1922*g**2 + 259474*g\/15 + 12\/5 = 0.\nAnswer: -9, -2\/14415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1159979692?\nAnswer: 2, 4951, 58573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*m + 15. Let d be (m - 3)*1\/2. Suppose d = 2*k - 4*o - 16, -2*k = 3*k - o - 49. Calculate the least common multiple of k and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -13. Calculate the remainder when 29 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 845 and 8273395.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 360054788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*j**2 - 141*j**2 - 68*j**2 + 25*j**2.\nAnswer: -147*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6\/(x*((x**(-3\/5)*x)\/x)\/x)*(x**(-2\/3))**(-6\/13))**(-3\/29) assuming x is positive.\nAnswer: x**(-1347\/1885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*k**2 + 12*k + 28*k**2 + 551 + 318*k + 220*k + 32*k**2 = 0. What is k?\nAnswer: -1, 551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3989249548 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/1080 and 113\/180?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011041271 to 5 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (70\/8)\/5. Let a = -1 + 3. What is the closest to 0 in a, o, -4\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.4358 litres to millilitres.\nAnswer: 8435.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 27 = 53. Let l be (2\/x)\/(8\/20). Let p = 1.34 - 0.34. Which is smaller: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000973 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 10:44 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -10000011110111010?\nAnswer: -10000011110111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2369, 2, 0.06, 3\/2.\nAnswer: 0.06, 3\/2, 2, 2369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 3*g + 8. Let k be j(-6). Let p = k - -25. What is the remainder when p is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**4\/3 + 17*b**3\/6 + 30*b. Find the second derivative of h(y) wrt y.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0238 times -0.38?\nAnswer: -0.009044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1066*v - 81783 = -2938*v - 265967 for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -17*b**3 + 1349*b**2 - 11*b + 79. Let d(f) = 6*f**3 - 449*f**2 + 4*f - 29. Give 11*d(z) + 4*m(z).\nAnswer: -2*z**3 + 457*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 47?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 - -0.138. Let g = m - 0.10698. Round g to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -21 + 2 + 12\/3. What is the units digit of 200\/z*15\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 2*q**2 - 6*q - 4. Suppose -14*y + y = -1911. Suppose 6*p + y = 123. What is t(p)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3967361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a - 8. Let t be i(-11). What is the greatest common factor of t and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 234.2 - 239.2. What is the third biggest value in -0.2, 7, w, 1\/6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**2 + u**2 - u**2 - 4*u**2. Let f(l) = -4*l**2 + 5. Let r(v) = -14 + 8*v**2 + 9*v**2 - 5*v**2. Let j(b) = 14*f(b) + 5*r(b). Determine j(m(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-8 - (-217)\/28). Let t(g) = 3*g + 3 - 2 + g**2 + 0*g**2. Let r be t(x). Solve r*k - 4*k = -3*c + 20, 5*k = 2*c + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 2716*l**2 + 5049*l + 1028606. What is n(2714)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -6 (c) -24.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2129 - 2129. Let c = 1704 + -35810\/21. Is c bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -48*b**2 - 27. Let l(x) be the second derivative of 0*x**3 - 7\/12*x**4 - 26*x + 0 - 2*x**2. Calculate -27*l(m) + 4*w(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3*d**5\/4 - 867*d**4\/2 + 250563*d**3\/4 = 0?\nAnswer: 0, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**4\/8 - c**3\/2 - 3*c**2. Let y be x(3). Let v(m) = 17*m. Let l be v(1). Solve -y = 3*k - u + 2, -2*u - l = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3636.4283 + -4.2717. What is q rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 190, 290, 392, 496?\nAnswer: 602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 2497.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/3 - 6\/(-9). Calculate the highest common factor of 110 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 2*y - 7*y, -4*g + 3 = y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76208.38465 - 76327.38464826. Let k = b - -119. What is k rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -124.536 + 125. Let p = s - 0.164. Suppose g + 0 = -3. Which is the nearest to 2? (a) g (b) p (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8))\/((-2)\/24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*u + 45 + 8, k = -4. Let w = -95 + 137. Calculate the remainder when w is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*u + 13*u = 77*u - 5550 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -16\/11, 5 in ascending order.\nAnswer: -16\/11, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**2. Let o(v) = -3535628*v. Calculate o(l(t)).\nAnswer: 10606884*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.41469 - -0.08371. Let x = 3.5 - f. What is x rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*n - 2418, 2*y - 3*y - 2418 = -2*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 l, and 1 i when three letters picked without replacement from biihdidbli?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20)\/6)\/(2\/6). Let r = -8 - z. Suppose -r*l = -0*l - 1620. What is l rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(5\/(10\/(-4)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*m = -8831404 + 8833204 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*q + 1384*q + 2438 - 4846 = 5887 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 33 + 57. Suppose 32*m - z = 27*m. Suppose -h - m*y + 77 = -26, -4*h + y = -451. Calculate the highest common factor of h and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 + 54 - 168 - 5*u - 12*u**2 + 9*u + 49.\nAnswer: -12*u**2 + 4*u - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n + 2*n + 0*n)*(11*n - 3*n - 4*n)*(2 + n + 3 - 2) to the form w*n**3 + h*n**2 + c + x*n and give h.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2323 - 2315. Solve 5*p + 10 = g + 4*g, -o = -g - p for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o + 2*o - 3 - o**2 - 5*o. Let j be n(-5). Suppose q + 2*r + 1 = 16, -j*r = 3*q - 25. Solve -3 = -2*a - q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*l = -43*l - x - 14, -5*l - 11*x = -8*x + 54 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfaabbbba. Give prob of picking 3 a.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/6)*j)\/(((j**10\/j)\/j)\/j))**(-24))**(-45) assuming j is positive.\nAnswer: j**(-6300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 253*m - 2. Let u(h) = h**3 - 10*h**2 + 1. Let c be u(10). Is z(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1304 and 15822.\nAnswer: 20631888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12 - (-1134)\/90)\/((-6)\/8). Which is the nearest to -7? (a) d (b) -20 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -121 + 233. Suppose -r = -10*t - 12. Solve 21 = t*s - 19 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, -44, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -1\/4, 0.9, 3\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -8\/4767?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6905603?\nAnswer: 509, 13567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*d**3*g**3 + 140*d**3*g**2 - 2*d**3*g + 1402463*d**2*g**3 - d**2*g wrt d?\nAnswer: 102*g**3 + 840*g**2 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = 3*n. Let g be -2 - 329988\/3 - n. Round g to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - -74) + -80 + 54.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0)*((-12)\/8 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 56293.7 (c) 1\/2 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-234)\/45)\/(6\/5 + (-28)\/35)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (114\/(-76))\/(2 - (-134)\/8*1). Which is the second smallest value? (a) 0.5 (b) p (c) -130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*l**3*n + 4*l**2*n**3 + 32*n**3 - 2*n wrt l.\nAnswer: -18*l**2*n + 8*l*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.0698 (b) 12\/7 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*l**2 + 27*l**2 - 32*l + 30*l - 71*l**2 + 491 wrt l?\nAnswer: -122*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 846 + -840.99. Let m = -0.01 + v. Let z = 3 + -2.6. Which is the nearest to 2? (a) z (b) m (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615859 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 10 = 8*i + 3*i. Which is the nearest to -2\/9? (a) 1 (b) 4 (c) i (d) -2\/59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 392.98 tonnes to micrograms.\nAnswer: 392980000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6931, -1 in decreasing order.\nAnswer: 6931, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*v + 3*v. Let y = 19 + v. Calculate the remainder when 67 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 220 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2760)\/17595*(-4)\/(-32)\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1040925 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(2\/3)\/g)\/g)\/g*g*g)**48\/(g**(-1\/8)*g**(6\/7)) assuming g is positive.\nAnswer: g**(1751\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 10. Let g be -3 + (-4 + 4)\/(-3 - z). Let k = 6 + g. Which is the smallest value? (a) 2 (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -2187?\nAnswer: -1\/729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 - 5*i + 2. Let l(v) = v**2 - 4*v + 5. Let a be l(1). Calculate g(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*b**4 - 3 + 25*b**4 + 2*b**3 - 3*b**3 to m*b**2 + s*b**3 + h + c*b + i*b**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.3534 to 2 dps.\nAnswer: -2.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 15 = 2*j. Let q(b) = b**2 - 3*b - 4. Let p be q(j). Let w be 0 + 8 - p\/(-2). Calculate the highest common factor of w and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306264.\nAnswer: 2, 3, 7, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b + 12. Let u(h) = h - 1. Let m be u(-8). Let y be t(m). Let l be (8\/3)\/((-10)\/y). Sort 5, -0.5, l in increasing order.\nAnswer: -0.5, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**16*t**(-12))\/(t\/t**(-1\/11))**(11\/2) assuming t is positive.\nAnswer: t**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*u - 119031 = 40021 + 67538. List the prime factors of u.\nAnswer: 2, 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/9, 86, -0.1, -1\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/5, 4\/13, -2\/3, 2312, 0, 11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -314 - 1033343?\nAnswer: -1034212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**4\/i*i*i)\/i**(-2))\/(i*i\/i**(-4)*i*i*i*i**(-4)) assuming i is positive.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1930 and 37\/960.\nAnswer: 185280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 4*v**2 - 12*v + 5. Let z be b(-6). Solve -15 = 5*w - j, 3*w + 4 + z = -3*j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98)*1*6.\nAnswer: 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 9 = -3*q + 33, -q = 5*p - 2. Let g(l) = -4*l**3 - q*l - 12*l**2 + 8 + l**2 - 3*l**3 + 6*l**3. Is 4 a factor of g(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 2. Give j(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/2 and 113\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 - 13 - 3)*(0*y - y + 0*y)*(1 + 1 - 3 + (1 - 2 + 2)*(-2 - 1 + 5)).\nAnswer: -33*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1787 - -1791.224. What is i rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*s**5 + 17*s**3 - s**2 - 3628*s wrt s.\nAnswer: -60*s**3 + 102*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**3 + q - q + (0 + 0 + 2*q)*(2*q**2 + 0*q**2 + q**2) - 20 - 4*q**3 + 20.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39772 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z. Let w(p) = -p**2 + 9*p - 1. Let c(s) = 4*w(s) + 28*y(s). Let a(x) = -x**2 + x + 1. Let n(d) = 3*a(d) - c(d). What is the units digit of n(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*w - 55. Suppose -15*l + w*l = -20. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -3.425709896992?\nAnswer: -1.574290103008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3 - 117*g**2 - 10.\nAnswer: -117*g**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-4)\/h**(-3\/8))\/(h**(-2\/27)*h**(-1)*h))**(8\/11))**(-22) assuming h is positive.\nAnswer: h**(1534\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3096 - 1178 = 4*d, 4*k - 1520 = 4*d. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 5 (c) 46 (d) -5 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18691922 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 171594571223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l\/l**(2\/5)*l*l)\/(l\/l**(2\/21))*l*l**5*l*l**2)**(-14) assuming l is positive.\nAnswer: l**(-2876\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**6\/80 - u**5\/15 + u**4\/12 - u**3 + 5*u. Let i(b) be the second derivative of f(b). Find c, given that i(c) = 0.\nAnswer: -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppi. What is prob of picking 2 p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 0*d**3 - 5\/2*d**2 + 2*d + 0*d**4 + 0 - 1\/5*d**5. Find the first derivative of y(t) wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0.3. Let s = -1.1 - 2.9. Let q = s - -4.2. Is r bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.69726 decades in months?\nAnswer: 9683.6712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 167*k**3 - 2*k**2 + 819*k wrt k?\nAnswer: 1002*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -353, -369, -395, -437, -501, -593, -719, -885?\nAnswer: -1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**3)\/(n**0*n))\/((n\/n**6)\/(n**2*n)))\/(((n\/(n*n**(-1)))\/n)**29\/(n**(-1\/2)\/n)**(7\/9)) assuming n is positive.\nAnswer: n**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1377b6 - -4?\nAnswer: 1377ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**3 + 3*o**2 - 287084*o + 2852992 with respect to o.\nAnswer: -6*o**2 + 6*o - 287084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**3 - 5*y**2 - 7*y + 5. Let u(t) = 5*t**3 + 11*t**2 + 14*t - 10. Let f(g) = 3*u(g) + 7*w(g). What is the lowest common multiple of 20 and f(4)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -8. Let k(d) = 9*d**2 - 7*d + 7. Let w(u) = 5*u**2 - 4*u + 4. Let m(y) = s*w(y) + 4*k(y). Let f(a) = 10*a. What is m(f(t))?\nAnswer: 100*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 4*v - 337 = -11*x, 5*v + 217 = 3*x. Suppose x = a - 10*l + 11*l, -4*a + 300 = -4*l. What is the smallest common multiple of 48 and a?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 15) in base 10?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459941435.\nAnswer: 5, 91988287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -34367482 > -34367497?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4819.\nAnswer: 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-75) - 213684\/(-5220)) + (-15)\/((-435)\/(-2)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 - -5) + 83 - 72.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 72*(20\/6)\/((-96)\/(-36)). Calculate the greatest common divisor of x and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15, 76, 97, 12, -245, -740, -1539?\n\"Answer: -11*l**3 + 46*l**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5392 = 80*n - 72*n. Let l = -280 + n. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + 13?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2, 4 in descending order.\nAnswer: 4, 2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*s**3 + 13*s**2 - 32.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 6:38 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**2. Let v = -10267\/10 - -5134\/5. Let g(x) be the third derivative of -12*x**2 + 0 + 0*x**3 + 0*x + 0*x**4 - v*x**5. Determine g(y(a)).\nAnswer: -54*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 4:44 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*y - 2*h, -4*h = -y - 0*y. Suppose 9*k - 25 = y*k. Suppose -173 = -2*t + f, -3*t = -4*t + k*f + 64. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + 4 + 3 - (0 + (sqrt(833) - (-2*sqrt(833) + sqrt(833))**2))) + -5.\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 36 = u + 5, 0 = -3*u + 15. Differentiate 28*n**3 - 4 + g + 3 - 2*n**3 wrt n.\nAnswer: 78*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-2 + (2 - -3))) + 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -64*69\/(-11040)*-2*2\/8.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29062202 is divided by 319?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 210051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2 + 629*r + 20223. Determine h(-45).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 + -2. Let c = s - -1.5. Is 0 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -2*d**3\/3 - 3*d**2\/2 - 2*d + 1. Suppose -5*j = 4 - 44. Suppose j = -2*p + 4*p. Let q(y) = y**2 + y. What is p*q(l) + o(l)?\nAnswer: 2*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2. Let a(r) = -3*r - 7*r + r. Calculate a(p(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 2*b**2 - 4*b. Let z be t(-3). What are the prime factors of (-11)\/z*(9 - 12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 34*z**2 + 48*z - 119. Is 3 a factor of t(33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 8*w**2 + 11*w + 1. What is the units digit of g(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41410 by 8282.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 18*k**5 - k**2 + 2*k + 8. Let d(b) = -b**5 - b**3 + b**2 + 1. Let c(j) = d(j) + i(j). Find the second derivative of c(u) wrt u.\nAnswer: 340*u**3 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 2. Let w be s(2). Suppose w = z + z. Solve -z*k - j = j - 6, 5*k = 5*j - 35 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/295 or 0?\nAnswer: -4\/295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.0000017 - -18. Round p to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3501519.03 to the nearest 10000.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h + 18*h + 18 = 0. Let j = 6 - 3. Suppose h = u - j. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**2\/2 - 2*a + 1. Suppose 0*x = -4*x - 8. What is h(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9210.55 - 3257?\nAnswer: -12467.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -624*v - 41. Is i(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/6 + 1\/2. What is the first derivative of -2 + 2*p**g - p**3 - 3*p**3 - 2*p**3 wrt p?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m*p**2*w**2 + 43*m*p**2*w + 70*m*p**2 - 2*m*p + m*w - m - 249864*p**2*w**2 - 2 wrt w.\nAnswer: -4*m*p**2 - 499728*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 233 - 460. Let w = -159 - i. Suppose -j - q = -6*q - 35, 4*j - w = -4*q. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 2. Let a be c(2). Let q(v) = v**3 + 6*v**2 + 4*v - 3. Let o be q(-5). Is a greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -897*g + 1793*g + g**2 + 7 + 3*g**3 - 895*g as v*g**2 + f*g + r*g**3 + s and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -143c2?\nAnswer: -143c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 23, 60, 1\/2, -828, 4, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25141? (a) 2 (b) 22 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 36, 2, -3, -4 in descending order.\nAnswer: 36, 5, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3) + (-20)\/(-132). Let i = 0.686 - 0.486. Let t = 14 + -14. Which is the smallest value? (a) x (b) i (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15274250 and 214000?\nAnswer: 122194000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 13*q + 6. Let x be f(-10). Suppose 4*o - x = -4*i, -5*o = 5*i - 4*i - 37. What is the highest common factor of o and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 272\/2425 - 7\/97. Let j(z) = 2*z - z - 11 - z - z. Let d be j(-10). Do d and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -63, -2, -15 in increasing order.\nAnswer: -63, -15, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*y**4 - 592*y**3 + 32487*y**2 + 168310*y - 39000 = 0. Calculate y.\nAnswer: -100, -5, 2\/9, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3378 * 6.38\nAnswer: -21551.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*c = -20, -4*c - 11 + 1 = -2*m. Let a(i) = -3 + 0*i + 0 + 2*i. What is the units digit of a(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -20412858 in descending order.\nAnswer: 1, -3, -20412858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 3*j**2 - 3*j + 3. Let d be 3*(3 + 0)\/3. Let x be q(d). Let s(c) = c**2 + 4*c + 3. Is s(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((-40)\/25)*27\/15.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x + l = -5, 0 = -4*l + 20. Suppose 5*p - g - 41 = 0, 2*g + g = 2*p - 19. Calculate the lowest common multiple of x and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 + 20 - -17) + -15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 0)*(2*u**2 + 2*u**2 + 0*u**2).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 174 + -174.0254. Let d = -24.2746 + z. Round d to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*o - 6*o. Is 0 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -173 + 17?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27720.0201650007 - -57310867.6598332193. Let f = s - 57338587. Let k = -0.68 + f. What is k rounded to seven decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-15)\/38)\/(-5))\/((-108)\/(-144))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**2\/4 + 423*l - 59643 = 0.\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 129954 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 252348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -236*i. Let k(q) = 14*q**2 + 14*q + 12. Give k(n(l)).\nAnswer: 779744*l**2 - 3304*l + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -374\/3 - -118. What is the closest to -1 in -6, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17687 - 930 = 366*d + 3215 for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -41141.19 to the nearest ten.\nAnswer: -41140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 1)\/(-5 - -7). Let g be 0 + h - (-10)\/(-15). Which is the second biggest value? (a) -4 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23281720?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361415536.\nAnswer: 2, 22588471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*g**2 - g**4 + 2*g**3 - 24*g + 20*g + 5*g as x*g**3 + l*g**2 + p*g + w + t*g**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 0.6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**3 + 6*m + 6. Let a(i) = 2*i**3 + 5*i + 5. Suppose 11 = -3*z - 4*k, 5*k = -2*z - 2 - 3. Let t be z\/(0 - (-3)\/3). Determine t*a(c) + 4*x(c).\nAnswer: -2*c**3 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.017806 (b) 4 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 - (2 - 31 - -63)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**7\/42 - 23*u**6\/30 + 119*u**5\/20 + 167*u**4\/12 - 20*u**3 - 72*u**2 - u - 172. What is o in d(o) = 0?\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**2 + 3*p + 456. Calculate d(13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w - 36*w + 12*w.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4)\/((-10)\/240). Suppose -2*d - y = -6*d. Let b(p) = -p**3 + 4*p**2 - p - 3. Calculate the remainder when 4 is divided by b(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 h when four letters picked without replacement from {n: 5, h: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2208 - 1268*g - 4407 + 2200 in the form u + s*g and give s.\nAnswer: -1268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 265 and 201665?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 18*u**2 + 27*u - 4. Let c be f(-16). What is the highest common factor of 19 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 4 = -0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from elleeiqlillzze. Give prob of sequence zlq.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*k - 187*k = -5*o + 18, 4*k - 26 = -5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3565*l + 623. What is the hundreds digit of r(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22222 - 122?\nAnswer: -100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 4 + 7 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1575 and 104580?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4\/11*m**4 - 16\/11 + 20\/11*m**2 + 2\/11*m**5 - 10\/11*m**3 + 8\/11*m = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**2*j**3 - 8*i**2*j**2 + 20*i**2 - 6*i*j + j**3 wrt j.\nAnswer: 12*i**2*j - 16*i**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 749*x**3 + 8*x - 231. Let p(r) = 500*r**3 + 5*r - 154. Let u(d) = -5*i(d) + 8*p(d). What is the derivative of u(q) wrt q?\nAnswer: 765*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1449*f - 142. What are the prime factors of w(6)?\nAnswer: 2, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -485 + 485.3. Put -3\/8, h, -9 in descending order.\nAnswer: h, -3\/8, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 18 = -4*u. Solve 0 = u*q + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 256999 - -502001. Round n to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60029 = 6*i + 60119 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36*m**2 + 276 + 259*m**2 + 17*m**2 + 42*m**2 + 73 wrt m?\nAnswer: 708*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -0*u + 3*u, -u = -4*r. Let a = 2 + -2. Let c = a - 1. Which is smaller: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41276 and 6.\nAnswer: 123828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 240213, 961163, 2162851, 3845277?\n\"Answer: 240369*d**2 - 157*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1328 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1904 + 409 - 333)*(-3*n + 2*n + 3*n) to the form x + d*n and give d.\nAnswer: 3960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*l*u**2 + 5*f*l*u + 16*f*l - 57*l - 217*u**3 wrt u.\nAnswer: 4*f*l*u + 5*f*l - 651*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -108079499*d**2*g**3 - 3*d*g**3 - 12*d*g**2 + g**3 + 365*g**2 + 15*g wrt d.\nAnswer: -216158998*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*a + 5. Let f be (-12)\/21*(-182)\/(-52). List the prime factors of 2 - (a - f) - -75.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(99))*-5)**2 - sqrt(99)) + ((sqrt(99) - -3*sqrt(99)*-4)**2 - sqrt(99)) + 1*((sqrt(539) - (4 + 0 + sqrt(539))) + 4).\nAnswer: 144*sqrt(11) + 14479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 + 55.175. Round g to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 29. Let s(g) = 5 - 4 - g**m - g - 1 - 5*g**2 + 1. Let r = 7 - 11. What is s(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**2\/2 - 1. Let f(j) = j**2 + 2*j + 2. Let g be f(-2). Let w(k) = 6*k**g + 5*k**2 - 8*k**2. What is l(w(c))?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + n + 2 = 0, -5*g + 3*n - 5 = 8*n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/8*(542\/2200 + 2\/(-8)). Is g >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -83. Let h be 160\/c*42\/(-5). Is 2 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -146? (a) -0.15 (b) -15025 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 128100*k + 6905736.\nAnswer: 4*(k - 31971)*(k - 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**6 + 14617110*l**3 - 6556*l**2 + 112*l - 5 wrt l?\nAnswer: 120*l**3 + 87702660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -18 + 10 - -28 - 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/120)\/(14\/60)*(63\/(-6))\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence blpt when four letters picked without replacement from {p: 1, l: 8, m: 2, t: 1, b: 6}?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 65825784?\nAnswer: 65825783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.5, -1, -52\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/(-2))\/5*4. Let n be 4\/c - 2\/3. Let r = -83\/60 - -1\/20. Put r, 0.2, n in increasing order.\nAnswer: r, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(14)\/(-2*sqrt(175)))**2 + -4*-4*(3 + sqrt(2)))*4*1.\nAnswer: 64*sqrt(2) + 5202\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 3*f**4\/2 - 2*f + 4. Differentiate a(q) with respect to q.\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0606162 minutes to nanoseconds.\nAnswer: 3636972000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -669, 0.07, -17\/2 in decreasing order.\nAnswer: 0.07, -4, -17\/2, -669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -18919.8.\nAnswer: -3783.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8455503?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 7633373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1103764 is divided by 220736?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 37 = -h, 3*d = -4*h - h + 29. What is the third derivative of 15*r**3 - r**3 - 9*r**3 + d*r**3 + 8*r**2 wrt r?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1087*u + 210 = -1979*u + 997*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2345\/33638 - 1\/278. Let l = h + -624\/121. Calculate the common denominator of l and 11\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 + 7*l**2 - 4*l**2 - 3*l**2 + 0*l**2.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + g**2 - 3*g - 3. Let x(j) = j**2 + 4*j - 7. Let k be x(-5). Let p be q(k). What is the tens digit of -90*10\/p*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 66*u - 23*u - 22*u - 23*u. Let n(r) = 72*r. Calculate n(w(o)).\nAnswer: -144*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -353*n - 2748 + 2*n**4 - 3334190*n**3 + 3334190*n**3 wrt n?\nAnswer: 8*n**3 - 353","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 7*r**2 + 7. Let l(s) = -s**2 - 1. Suppose a - 9 = 3*f, 9*f - 5*a = 4*f - 25. Give f*k(t) - 14*l(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 4 + (-25 - -1 - -27) + (-1 - -10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 20*s**3 - 11*s - 17. Suppose z = -4*d + 20 - 0, -5*z + 4 = -4*d. Let p(g) = -7*g**3 + 1 - 4 + 1 + 8 + d*g. Calculate 6*h(x) + 17*p(x).\nAnswer: x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -736 + 736.022. Sort 3\/8, a, 3\/5 in decreasing order.\nAnswer: 3\/5, 3\/8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 2*d. Let n be (6\/3)\/((-4)\/6). Let g be s(n). Suppose 2*u - 15 - 13 = -4*y, 32 = 3*u - 4*y. What is the highest common divisor of u and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 726943162 - 726943136.99999885. Let p = -25 + x. Round p to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.203314763 from 1.007.\nAnswer: 1.210314763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4140 divided by -20\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116*(-1 - 297\/(-18))?\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37536766 (base 8) in base 7?\nAnswer: 130413141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o - 3. Let b(g) = 3*g - 2. Let d(t) = 5*b(t) - 3*w(t). Let v be d(-1). What are the prime factors of (14\/(-4))\/7 + 255\/v?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193086 is divided by 637.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/8*(-237)\/((-15642)\/(-13992))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -333 + 280. Sort z, 0, 3, 1.\nAnswer: z, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52 and 35958?\nAnswer: 71916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 4*j**2 - 3*j - 3. Let z be y(5). Suppose 4*i = -5*k + z, -5*i = -3*i + 4*k - 8. Sort i, 3, 0.3.\nAnswer: i, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 - 624.\nAnswer: -509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 983362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - -31. Does 21 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103050 is divided by 238.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 1 = 2*f - 2*i, -2*f - 2*i = 0. Let a(t) be the second derivative of -11*t**5\/10 + t**4\/12 - 45317*t. Give a(f).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 9*k**2 + k + 2. Let s(v) = 9*v**3 - v**2 + 1. Let j be s(1). Let b be f(j). What is the greatest common factor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 3 + -92 + 16 - (-30 - (-43 + 18))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 0*s + 8*s**2 + 2*s**3 + 1 - 1\/3*s**4 - 4\/15*s**5 + 2\/105*s**7 + 1\/15*s**6. Factor y(b).\nAnswer: 4*(b - 1)**2*(b + 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 10:49 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-32)\/112 + 60\/14. Suppose -7*b + k*i + 370 = -2*b, 5*i + 95 = b. Let l be ((-32)\/20)\/((-2)\/35). What is the greatest common divisor of b and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 71*f + 136. Determine d(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -p - 2*i + 11, 0 = -2*p + 5*i + 13. Let o(n) = -5*n**3 - n**2 - n - 1. Let x be o(p). Does 9 divide (1*12)\/(4\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - 78. Let j = -43 - t. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 357?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (103 - (0 - -1)) + (-32 - (-40 - 2)) + 4?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 8804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2 + 7*g + 8. Let t be x(-5). Let d = 1124\/11 + t. Let f = 3.6 - 0.6. What is the nearest to 1 in 0.2, f, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*p + p - 3*p)*(p + p - p) + (-3 + 3 - p)*(-p - 2*p + 6*p) - 5*p + p**2 + 5*p - 2*p**2 + 4 - 4)*(31 - 142 + 268).\nAnswer: -314*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26738 + 27307. Solve -48*i + h = 185 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 + 7*n**2 + 6 - 9*n**2 as w*n + x + q*n**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 1:22 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5245121215 + 4?\nAnswer: 5245121223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 55967 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-5))\/((-4)\/40). Which is the nearest to 0.4? (a) p (b) -1\/11 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by -260.\nAnswer: -19\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.58 - 0.5. Let y = l + 0.14. Let u = -0.02 + y. Which is the closest to 1\/4? (a) -5 (b) -1\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -26\/15*i**6 + 0*i**5 + 0*i + 0*i**4 - 17*i**2 + 2 - 167\/6*i**3. What is the derivative of f(y) wrt y?\nAnswer: -624*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*o - 71 - 9 = 0. Suppose 3*m - 45 = k + o*k, -k = 2*m - 15. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 355224 and 152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23716?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 4 - -5) + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j - 18. Let l be r(9). Find the third derivative of -2*u**6 + 38*u**2 - l*u**6 - 52*u**2 - 3*u**3 wrt u.\nAnswer: -1320*u**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 2*z + 776. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/9 + 1\/3. Suppose -3*p - 2*x - 2 = 0, 9 = -u*p - 3*x + 1. Suppose p*k = -k. Solve 2*r - 10 = -k*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 42*w**2 + 65*w + 618. Determine f(40).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -2*l + 5*l + 15, 4*d + 4 = -4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 7*y**2 - 3*y - 2. Let u be t(-4). Suppose 2*r = 5*v + u, -4*v + 2 + 38 = 2*r. Is (r + -2)\/(4 + -3) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 270 and 486?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2, -4, 0, -1 in ascending order.\nAnswer: -4, -1, 0, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*r, -3*b + 4*r = 3*r - 5. What is the units digit of b + -2 - 6\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 1 - (-23 - -17).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (7 - 5) + -4.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 666060721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2069*y + 1026222. Give l(-496).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -355198 + 780*g**2 + 355198 - 2*g**2 + 0*g**2 + 3*g**2 - g**2 + g**2 + 2*g**2 + (-4 + 4 + g)*(2*g + g - g) - 3 + g**2 + 3 + 3*g**2 - 2*g**2 + g**2.\nAnswer: 788*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9342580.\nAnswer: 2, 5, 13, 35933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2484 at most 88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 603 and 27?\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 232081\/18 + -12897. Calculate the common denominator of r and 96*(-2)\/(-9) + ((-132)\/(-24) - 7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 4*x**2 + 48*x + 211. Let g be n(-5). Sort g, 4, 0, 301 in increasing order.\nAnswer: g, 0, 4, 301","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -33 - -6) + (8 - (0 + 0)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x**3 - x**3 + 4*x**3)*(8*x - 33*x - 29*x + 7 + (2 - 4*x - x + 3*x)*(-1 + 1 - 2)) as c + m*x + t*x**4 + w*x**3 + a*x**2 and give t.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-132)\/10 - -13)\/(20\/(-12) - -2)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 3*f + 36 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4*w - 1 + 0*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 78929.89t in nanograms?\nAnswer: 78929890000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*-5*4 - sqrt(104))*-6)\/(-2*(sqrt(200) - (sqrt(200) + 6*sqrt(200)))).\nAnswer: 21*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 68 - 0?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11089 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -1. Suppose v*z - 529 = -5*q, -3*z = 4*q - 41 - 384. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 3. Let z(q) = 24*q**3 + q**2 - q + 1. Let b be z(y). Let x = b - 15. What is the remainder when 28 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 36*c - 21. Let d = -16 + 37. Let s be ((-2)\/(-5))\/(2\/(-20)). Let x(b) = 7*b - 4. Let g(h) = d*x(h) + s*f(h). Let l(z) = z**2. Calculate g(l(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p*p**(-13)*p)*p*p)\/p**(-3))**0)**(18\/7) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1581 and 186.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/14956193 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Convert 31097.7 nanometers to millimeters.\nAnswer: 0.0310977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65223 - 38276. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/15)*u)\/(((u\/(u*u\/u**9*u))\/u)\/u)*(u\/u**(-14))\/(u\/(u**(3\/4)*u)) assuming u is positive.\nAnswer: u**(713\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**2. Let q(h) = -h. Let x(y) = 6*y. Let i(d) = -5*q(d) - x(d). What is i(p(k))?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmoobmbmobmxbmp. Give prob of sequence mpo.\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 + 5*d + 2. What is w(-5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 5*x**2 - 8*x - 1. Suppose -t + 6*t - 2*s = 15, 0 = t + 3*s - 3. Let f be (19 - 1)*t*(-3)\/27. Determine z(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 6*j. Let u(k) be the first derivative of -k**3\/3 + 5*k**2\/2 + 6810. Let m be 3 + (-1 - (2 - 3)). Calculate m*o(c) + 4*u(c).\nAnswer: -c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -18*t + 25. Let h be ((-13)\/((-39)\/4))\/((-2)\/9). Let d be m(h). Suppose -252 = 131*f - d*f. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 4*u. Let p be ((-2)\/4 - (-33)\/6)*(57967\/(-845) + 70). Solve u*x - p = 7*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 1\/6, -1, -41, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 397607?\nAnswer: -397607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = m + 30. What is the common denominator of 270\/(-21)*(-3)\/m and -52\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = a + 21, 28*j - 26*j + 18*a = -j - 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (245\/147)\/((-10)\/(-48))*14\/8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + k + 2*k)*(-6*k**3 + k**3 + 12*k**3) - k**2 - 2*k**4 + 3400 - 3400.\nAnswer: -9*k**4 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4.76 and -213794099.\nAnswer: -213794103.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*w - 22*w + 96 = 0. Let k(u) = 3977*u - 198. Let p be k(w). Round p to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 54 + 154. Let m = 48 - b. Let w(a) = -61*a - 13. What are the prime factors of w(m)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/1872*30)\/((-30)\/(-8))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 13, s: 3}. What is prob of sequence ssvs?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*j**2 + 7*j**2 + 23*j**2)*(-2 - 1 + 4) + j**2 - 2*j + 2*j in the form u*j + d + g*j**2 and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31354 and 7678646?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -944 (b) 2 (c) -1 (d) 7 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1077 - 952. Which is smaller: -2 or g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 1 + 19. Suppose 0 = -r*s + 9*s - 4835. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -206 - 6341?\nAnswer: -6550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 greater than or equal to 2\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - t + 453 = -5*i, -3*t = -4*i + 1847. Is i a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2268) + sqrt(2268)*-2*5 - -2*-2*sqrt(2268))\/(sqrt(4) + -1*(sqrt(4) - sqrt(12)\/sqrt(3)) - sqrt(64)*2).\nAnswer: 117*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-6)\/q**(-3))\/(q**(-2)*((q*q*q**(-3\/8)\/q)\/q*q*q)\/q))\/(q*q\/q**(3\/2)*q*q**1*(q**(-2\/5))**(3\/22)) assuming q is positive.\nAnswer: q**(-1791\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 26 = 4. Suppose y*g - 5*h - 358 = 0, 0 = 4*g + 4*h - 1182 + 438. Let b be (-7)\/(-21) + 136\/6. What is the greatest common divisor of g and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005743 rounded to 6 dps?\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/12869 and -67\/19682.\nAnswer: 334594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - h. Let b(p) = -6*p**2 + 22*p - 16. Let v(t) = b(t) + 5*f(t). List the prime factors of v(14).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**2 + 6581*s + 173106. What is y(-26)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6*-111 + 0. Let c = -158 - -100. Let u = c + d. Calculate the smallest common multiple of 6 and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016699801173 to 7 dps.\nAnswer: 0.00167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -276*a**2 + 3*a - 31. Let w(c) = 92*c**2 - c + 10. Let q(r) = 7*w(r) + 2*x(r). Does 22 divide q(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b + 71*b**2 - 2*b**3 - 94*b - 13*b - 15*b**2 + 76*b**2 = 0. What is b?\nAnswer: 0, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2 = 0, h + 0*r + 3*r = 0. Let k = 6 - h. Let m(a) = -4*a**k - 3*a**2 + 5*a**3 + 4 - 3 - 5*a. What is m(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0 = -6. Factor -3*l**3 + l**4 + f*l**4 - l**4 + l**4.\nAnswer: 3*l**3*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 41200.44 millilitres?\nAnswer: 41.20044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**4)**13)**(-48))**(2\/39) assuming v is positive.\nAnswer: v**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70 - -62. Let w be f + 4\/((-1)\/(-1)). Let b be -1*(w - (-3 + 9)). Calculate the highest common factor of 60 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -c - 4*l, 0 = 47*l - 43*l + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -l - u, -4*l + 157 = 3*u - 176. Solve 14*h - 42*h = l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 61660? (a) 0 (b) 124 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 316604.644 to the nearest ten thousand.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -599 + 598.91. Put 3\/7, m, 1\/6 in decreasing order.\nAnswer: 3\/7, 1\/6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -14.\nAnswer: -14, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 4 + (sqrt(3) + sqrt(3)*2)**2)*-6*-3.\nAnswer: 18*sqrt(3) + 558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 10 + 29 = -5*k, -58 = 4*h + 21*k - 7*k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1848760550 divided by -173186?\nAnswer: -10675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -1 + 7847\/2242*(-54)\/(-14)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 + -1. Which is smaller: 0.3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -2. Let y = -279214.2 + 279214. What is the fourth smallest value in 5, 3.6, y, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) -2\/9 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 + 47 + -85 - 72.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 3.4 (b) 1\/15 (c) 2\/7 (d) -291 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4795 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*x**3*y**2 + 25*x**3 + 5*x**2*y**3 - 4*x**2*y + 3*y wrt y.\nAnswer: 90*x**3 + 30*x**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1521 (base 9) to base 8\nAnswer: -2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 459, 917, 1375?\n\"Answer: 458*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*((-28)\/(-12) - 2). Which is the biggest value? (a) j (b) 0 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**48\/k)*k*k**(6\/11)*k)**(-4\/9))**(7\/3) assuming k is positive.\nAnswer: k**(13384\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -28 and 43161195.\nAnswer: 43161167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-410)\/5)\/(3\/(-15)). Let m be 2\/(-7) + s\/14. Let y be 1\/(16\/14 + -1). Solve -2*v = -v - 4*w - y, 4*v + 3*w + m = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 168*a**3 - 4*a**2 + 8*a - 12. What are the prime factors of s(2)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.644 * 1.536.\nAnswer: -4.061184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 y, and 1 i when three letters picked without replacement from {i: 1, z: 1, a: 2, o: 1, f: 1, y: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5806559797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - l**2 - 4*l**2)*(-3*l + 3*l - 2*l + (3 - 2*l - 3)*(0 - 4 + 3) - l - l - l).\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 90030 (base 13) in base 16?\nAnswer: 3ec40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.064 + 3.11\nAnswer: 3.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 12:46 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000358576 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9528?\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 3*a - 9 - 15, 0 = 2*x - 3*a - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 28438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372*z = -3336722 + 18545570. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o - 2. Let k be s(-10). Suppose -n - k = -2*n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 2*k = -5*p - 15, k = -3*p + 25. Suppose 0 = -u + 2*u + p*u. Is (1 + 0)*157 + u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 4*t**3\/3 + 2*t. Let g(d) = 3*d + 2. Let w(i) = -i - 1. Let f(x) = -g(x) - 2*w(x). Calculate h(f(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 3, -82 in increasing order.\nAnswer: -82, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + -3 + (1 - -5). Let m be z + -5 + 3\/2*2. Solve 25*u**2 + 11 + 20*u + 12 + m*u**3 - 23 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 2:56 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*c - 153 = 0, 6*u = u + 3*c + 175. Let s = u + -29. Factor o**2 - 5*o**4 + o**2 + s*o**2.\nAnswer: -5*o**2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s + 23*s**2 + 113085 - 113083 + 9*s.\nAnswer: 23*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -181129*w**3 + 3671*w**2 - 46 wrt w?\nAnswer: -1086774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 45 = 15*f - 4*f - 6*f, -1268*s + 2*f = -1268*s - 12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.5 - 11. Let f = s - -4. Let v = -2 + 7. What is the nearest to 1 in -0.1, f, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 17. Is 4 a factor of 42\/m - (1 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11401 (base 10) to base 11\nAnswer: -8625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**2 - 74*s - 140 = 0.\nAnswer: -35, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 greater than -0.046852?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -9*w - 14. Let g(p) = p**2 - 11*p - 8. Let l be g(11). Is b(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(1*(-1)\/1). Suppose m = 3*w - 920607 - 879393. What is w rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*d. Let h(z) = -z**2 - z + 3. What is the remainder when h(d) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/((-2025)\/(-50)))\/((-1)\/(27\/(-45)))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = j + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - 2. Let v = w + 0. Let t = -4.968 - v. Round t to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(264) - sqrt(264))\/sqrt(6))\/((sqrt(48)*1)\/sqrt(12)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15964, -129885, -439708, -1043383, -2038860, -3524089, -5597020, -8355603?\n\"Answer: -16325*n**3 - n**2 + 357*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4790.9 * 0.3\nAnswer: -1437.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -5113107 < -5113109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhqg when four letters picked without replacement from qqght?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.21346, 0.4, 481?\nAnswer: 481","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l**3 + 3853*l**2 - 3852*l**2 - 31*l**3 + (-5*l**2 + 4*l**2 - l**2)*(0*l - 2*l + l) as r + f*l + t*l**2 + s*l**3 and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 - b. Suppose -2*u + 3 = -4*q - 1, 0 = 3*q - 3*u + 9. Let a(i) = -i**2. Let l(n) = q*r(n) + 4*a(n). Factor l(h).\nAnswer: -h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = g - 3. Suppose c + g*a = -a + 35, 55 = 2*c + 3*a. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -517, -2074, -4683, -8356, -13105, -18942?\n\"Answer: -2*z**3 - 514*z**2 - z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 j, and 1 c when four letters picked without replacement from {q: 2, j: 1, c: 3, k: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 455069255, 910138508, 1365207761, 1820277014?\nAnswer: 2275346267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39665 is divided by 1641?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 18728.2027.\nAnswer: -18733.2027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*u**2 + 2*u - 122?\nAnswer: 4*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25957, 51802, 77613, 103390, 129133?\nAnswer: 154842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1364, -3730, -6086, -8432, -10768, -13094?\nAnswer: -15410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) -1\/6 (c) -0.03 (d) 1\/3 (e) 493 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132, 219, 1540, 4317, 9036, 16183?\nAnswer: 26244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -148a - 0?\nAnswer: -148a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/9)\/(2\/(-3)). Suppose 3*s = w*p - 8, -2*s + 5 = 3*s - 3*p. Suppose 0*k + 3*k = 5*f + 23, -4*f = s. Is k != 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13*95\/(32110\/52))\/(-1 - -245)\nAnswer: 1\/122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 22. Let v(j) = 32*j**2. Calculate n(v(z)).\nAnswer: 32*z**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 12942*d - 12023133. Determine x(929).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9521 rounded to the nearest one hundred?\nAnswer: 9500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -12*t**2 + 18*t - 32. Let v(c) = -c. Give v(l(y)).\nAnswer: 12*y**2 - 18*y + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 112630*r**4 + 106878 wrt r?\nAnswer: 450520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 239692 to the power of 1\/2, to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1645927 times -0.12?\nAnswer: 197511.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, a: 3, h: 3, c: 2, b: 3}. What is prob of picking 2 a?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**2 - 6*y**2 + 23*y**2 - 12*y**2 - y**2. Let k(q) = -52*q**2 - 4*q. What is j(k(w))?\nAnswer: 2704*w**4 + 416*w**3 + 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**4\/7 + 88*z**3\/7 + 30*z**2 - 1216*z\/7 + 920\/7 = 0.\nAnswer: -5, 1, 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -103, -65, -1, 101, 253?\n\"Answer: 2*s**3 + s**2 + 21*s - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q = -11*q - 4. Suppose -2*l = -2*u - l + 1, -q = 5*u + 4*l. Factor u*i - 4*i - 1 + 2*i - i**2.\nAnswer: -(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2 + 3*d**2 + 35*d + 4 - 6*d**2 - 36*d. Calculate j(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 3*q - 3, -s - 7 = 3*q + 2*q. Suppose d + s*d = 256. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81567 divided by 19\nAnswer: 4293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -5. Does 17 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -169 - 1678. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1da5610 - -27?\nAnswer: 1da5637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2590543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.562 - 3.562. Sort -2\/1973, j, 3, -0.3, 1\/4 in ascending order.\nAnswer: -0.3, -2\/1973, 1\/4, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 728*m + 1104?\nAnswer: 728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*z - 40, z + 2*z = 3*m. Is 11 a factor of (-66)\/m*20\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/24 and -17\/13103064?\nAnswer: 13103064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -5 + -3 - 2) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1270586868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 94 + -41. Let q = -52.9 + b. What is the closest to q in 2, -5\/3, -5?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111 - -100?\nAnswer: 100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/2915108 and -25\/107856?\nAnswer: 104943888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17777*k*v**3 + 24*k*v**2 - 5*k*v + k - 10*v**2 wrt v?\nAnswer: 106662*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.06 or -36606?\nAnswer: -36606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 10\/399?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 5*l - l)*(3*l**2 - l**2 + 2 - 3).\nAnswer: 10*l**3 - 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from enffefenneff. Give prob of sequence nn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 4:23 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1500))\/((sqrt(35)*3)\/sqrt(7) - sqrt(5)).\nAnswer: 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70630697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 11*p**2 - 84*p + 87*p + 3 - 5. Let f be z(1). Suppose -f*a = -8*a - 48. Solve 3*h = i - a, -3*h - i = -2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/7794 and 101\/20214.\nAnswer: 8752662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 1. Let h(i) = i**3 + 8*i**2 - i - 10. Let j be h(-8). Let u = j - p. Solve c + u*c + 4 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*((-1)\/3)\/(3\/(-63)). Suppose l + 30 = i*l. Suppose 227 = l*o - 118. List the prime factors of o.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 - 4*j**3 + 4*j**3 + (-j - 2*j + 2*j)*(-4 + 4 + 2*j**2) + 130207*j**3 - 24*j**2 + 27*j**2 - 130268*j**3.\nAnswer: -65*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93760324 by 1913476.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**4\/6 - w**3\/3 + w**2\/2 - 14*w. Let u = -5 + 5. Suppose o + 4*o + 10 = u. Determine a(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 2*z = -2, c + 0*c + 2*z + 3 = 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4 = 0, 5*a - 2*p - 9 = -3*p. Solve -9*y**a + 6*y**2 + 0*y - 6*y = 0 for y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**5\/90 + p**4\/18 + p**3\/9 + p**2\/9 - p. Find s such that j(s) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000029807596 to six decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 9228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 11*b**5\/240 - 31*b**4\/8 - 17*b**3\/6 - 721*b**2. Factor x(l).\nAnswer: (l - 34)*(11*l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-9 + 11 + -11)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1639 = -669*u + 9065 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 150*c**2 + 3226*c + 44. Determine x(-26).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) 0.4 (c) -0.1209\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00539781 rounded to five decimal places?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.48 + 2.92. Let l = 7.5 - j. What is the smallest value in -17\/3, l, -1\/4, -4?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5)\/((-2)\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 59*l + 412. Let p be w(-11). Which is the nearest to 18? (a) -0.1 (b) -2 (c) -3 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2 + sqrt(2299))**2.\nAnswer: 132*sqrt(19) + 2335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (-21)\/2*40\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/3 + 115019*x\/3 + 9182320.\nAnswer: (x + 240)*(x + 114779)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26.22 + -25.53. What is j rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*b**2 - 16 - 9*b + 18 - 4.\nAnswer: 74*b**2 - 9*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: a9cf5 (base 16) to base 13\nAnswer: 1b4782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 2*t - 2, 2*o + 5 = -5*t + 16 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - ((34 - 89) + (2 + 3 - 4)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from msssxsxvxsmmmsxsms. Give prob of sequence mvxm.\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1664, 13303, 44890, 106397, 207796, 359059, 570158, 851065?\nAnswer: 1211752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15.1 and 66708?\nAnswer: 66723.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -1. Let x(m) = m + 1. Let o(g) = -3*g + 10. Let c(p) = -o(p) - x(p). Let v(s) = 2*c(s) - 18*d(s). Let n be v(6). Solve n = -4*y - y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 161, 233, 219, 119, -67, -339?\n\"Answer: -43*h**2 + 201*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1843753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0125 and 80271.\nAnswer: 80270.9875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 39379 = 122483. Suppose 6*b = u - 680. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.227 and 0.271.\nAnswer: -1.958517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c - 210 = -62. Let o(w) = 21. Let u(z) = 26. Let m(g) = c*u(g) + 5*o(g). Let y(f) = f - 7. Give -4*m(d) - y(d).\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 55445?\nAnswer: -55455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131687, -263323, -394965, -526619, -658291?\nAnswer: -789987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2 = -2*j. Sort -5, j, -4 in ascending order.\nAnswer: -5, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16 + -14 - 1\/(-1). Suppose -4*b + 20 = 0, 0 = 5*g - 6*b + q*b. Solve z = -1 - g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3121 + -1572. Let f = s + -6261\/4. Find the common denominator of f and 27\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + (5 - 7) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 26*i - 144. Let n be k(18). Solve 8*g - 7*g = n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -11*a**2 - 2*a - 92. Let d(j) = -34*j**2 - 6*j - 274. Let r(i) = -5*d(i) + 16*x(i). What is the second derivative of r(s) wrt s?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 161*i**3*p - 9*i - 4*p + 2 wrt i?\nAnswer: 966*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(1*sqrt(864)).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by 349791?\nAnswer: 37\/349791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-two fifths of a milligram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60 - (31 + 13)) + (4 - (-64 - -2)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 91*h - 272. Let y be t(3). Solve 2*q = -z, -z - 2 + y = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51600087?\nAnswer: 3, 7, 11, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -535\/2, -13, 995 in decreasing order.\nAnswer: 995, -13, -535\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 129\/36)\/((-3122)\/(-18732))?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 5. Let v = -21 - -44. Calculate the remainder when v is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0174*-35979.\nAnswer: -626.0346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 4*m + 13. Suppose 6*i = 8 + 4. Suppose -q + 0*h + 5*h = 12, -i*h + 48 = 5*q. Is s(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6 = -5*d, 0 = -3*u + d + 156. Calculate the lowest common multiple of 11 and u.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, t: 1, i: 1, l: 4, h: 2}. What is prob of sequence li?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*m*z**3 - m*z**2 + m*z + 2*z**3 + 37*z + 3 wrt z.\nAnswer: -120*m*z - 2*m + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1835 - 1843 = -2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**23*h)\/h)**20\/(h**(-23)\/((h*h**(5\/8))\/h)) assuming h is positive.\nAnswer: h**(4189\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**14*n**15)**(6\/23)\/((n*(n\/(((n\/((n*n\/(n\/n**9)*n*n)\/n))\/n)\/n))\/n)\/((n\/(n\/n**(-3))*n)\/n)*n**3*(n*n\/n**(-4)*n)\/n) assuming n is positive.\nAnswer: n**(-401\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 815.1 + -1011.92. Is 1 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 0, 15, 44, 93, 168, 275?\n\"Answer: o**3 + o**2 + 5*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/16 - (-297)\/(-72).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i - 662 = 4*a, -2*i + 14*i - 16*i = -29*a - 268 for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (4 + 4) - -8) + 8\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 315 and 14002695.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -3. Let q = -14 + 10. Put q, 4, o in decreasing order.\nAnswer: 4, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((40\/12)\/(-5)*3)\/5\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*k + 74*k = -166*k + 1780. Solve 0 = -5*r - 30 - k for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2.497 (b) 1\/15 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2175396.8 rounded to the nearest 1000?\nAnswer: 2175000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 115451*z**4 + 115453*z**4 + 2 - 2*z**3 + z**3 to the form w*z**3 + l*z + m*z**2 + x*z**4 + b and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*o**4 + 1837728*o**3 - 3675672*o**2 + 2450496*o - 544560.\nAnswer: 3*(o + 22690)*(3*o - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/2 + (-28)\/(-13). What is the smallest value in -0.3, o, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 368 and 94461?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-three thirds of a hour?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**8\/56 + 5*f**4\/24 - 6*f**2. What is the second derivative of a(q) wrt q?\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441435091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -2\/381, 0.05, -212\/9, 6\/11?\nAnswer: -212\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 594.7411 millilitres in litres?\nAnswer: 0.5947411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193 - 215 = -11*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 130*j + 1. Let a(d) = 64*d. What is -7*a(w) + 4*t(w)?\nAnswer: 72*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 160*g**3 - 174*g**3 + 0 + 0.\nAnswer: -14*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 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: Suppose -b + 10 = -0. Suppose 6*d - b - 20 = 0. What is the remainder when d is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7, 100, -7, 10, 1\/6, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from uuxi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 0*i - i)*(2 - 7 + 9).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + q - 21 = 4*q, s - 6 = q. Suppose z = -0*d - d + 3, -4*z + 8 = 2*d. What is the derivative of -s*c**d + 12*c**2 - 6 - 2 + 3*c**2 wrt c?\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94384 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 26\/9, -19, 8, 0.4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 152, 184, 224, 272, 328?\n\"Answer: 4*j**2 + 20*j + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3726, 1373, -2548, -8037, -15094?\nAnswer: -23719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 698606*a**2 + 8*a + 8. Let s be y(-6). Suppose 8*j - 43502240 = -2*j. Suppose -5*f - j = s. Round f to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12098 by -23.\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21733 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -24. Let b be ((-324)\/88)\/9*(-32)\/l. Let m = -4 + 1. Is m at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9*(40\/(-12) - -3). Let y(m) = m**3 + 2*m**2 - m + 2. What is y(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123839 = -186*v + 220*v + 3313*v for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(14)\/sqrt(7) + 2)*-6.\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + 5 - -1 - -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -7, 0, -3 in descending order.\nAnswer: 5, 2, 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 697 - 658 = -75*w - 1686 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (6 - (10 + 5) - -3)) + 12.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2266 (base 7) to base 12\nAnswer: -594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4768 - 2545 + 3163 = 208*m - 12502 for m.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50993172*b**2*r**4 + 2*b**2*r**2 - 4656*b**2 - 4*r**4 - 4185*r wrt r?\nAnswer: 1223836128*b**2*r - 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 409.0885 kilometers?\nAnswer: 409088.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**5\/20 - d**4\/2 + 2*d**3\/3 - 9*d**2\/2 + 2*d. Does 6 divide p(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-135 - -37)\/((-12)\/2466)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (84\/63)\/(4\/18). Solve -s = -3*s + c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83 + 86. Suppose 3*x + 5*r = -65 + 288, 3*x + b*r = 231. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y + y - 4*y + (355 - 297 + 104)*(-y - y + y) + 12 + 4*y - 12 to the form q + b*y and give b.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-394)\/(-985)*(-3350)\/(-18). Is 75 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j - 35. Calculate p(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0141986 rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b - 2*d = -14*b + 28, -5*d = -4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 5*a - 7, -3*r = -796*a + 792*a + 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170 and 525577610.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -2. Let g = 6 - l. Suppose 7 = -c - 5*n, 0*c + n = g*c - 43. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4518608257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -217*f*v*z**3 + f*v*z**2 + 3*f*z**3 + 4*v*z**3 - 50*v*z + z**3 wrt f?\nAnswer: -217*v*z**3 + v*z**2 + 3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvzbzbvzziiivoi. What is prob of picking 2 z?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 15*j**2 - 20*j + 23. Let r be b(-16). Suppose -5*o = 5*w - 853 - r, 2*w = -4. Is o a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -574, -1855, -3990, -6979, -10822, -15519?\nAnswer: -21070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -5*y + 4*b - 23, 0 = 5*y + b + 38. Let f(o) = 8*o**2. Let t(m) = -7*m**2. What is y*f(s) - 6*t(s)?\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -3238\/15 + 216. Which is the nearest to 2\/5? (a) l (b) 5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 155 and 124310?\nAnswer: 124310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + n. Let m be ((-90)\/(-4))\/((-49)\/98). Let w = m + 50. Solve -w*i = -n*i - 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1551 and 2673?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 4251.\nAnswer: 4250.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-5) - (3 - 4). Suppose 4*l = -4*v + 64, 5 - 25 = -h*v + 4*l. What is the least common multiple of 11 and v?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7999722, 7999721, 7999720, 7999719, 7999718?\n\"Answer: -w + 7999723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -543*b**2 - 141 + 309*b**2 - 183 + 277*b**2 + 324.\nAnswer: 43*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1819 by -17.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7567 + -1?\nAnswer: -7568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 922972.3l?\nAnswer: 922972300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 278 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 64 + (17 + -17)*(-3)\/3. What is the highest common divisor of q and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3869097907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -496 + 487.83. Let d = 0.47 + h. Let j = -7.6999885 - d. Round j to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6360571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 13597 + 9479 = 0. List the prime factors of a.\nAnswer: 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1116\/(-51) - 2\/17. Let f(v) = -v**3 - 22*v**2 + 2*v + 28. Let w be f(j). Let d = w + 18. Which is greater: d or 3\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.9 - 4.6. What is the nearest to -1\/4 in -2\/5, 2\/3, x?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*sqrt(432) - (sqrt(432) - (5 + sqrt(432) + -3 + sqrt(432) + sqrt(432) + sqrt(432))))**2.\nAnswer: -1056*sqrt(3) + 209092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -1\/2 (b) -40 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1216) - sqrt(1216)*-2)*3 + sqrt(1216))*-1 + -1 - (-1 + (sqrt(1216) - 3*1*sqrt(1216))*-2))**2 + -1.\nAnswer: 238335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 1:38 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -36.8. Let a = o - -1.232. Let g = a - -2.968. What is the nearest to -0.7 in g, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-62)\/4*(-24 - -26). Let i = s - -33. Solve -2*g + u = 2*u - i, -5*g + 15 = 5*u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a3 - -5?\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 20*t + 9. Determine y(-8).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 120 + -204?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425*o + 711428 = 684228 for o.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -8. Suppose -3*p - 10 = -5*s, t*s - 4 = 3*p - 0. Which is the second smallest value? (a) -4\/3 (b) p (c) 3\/4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/25 - (-126)\/(-15). What is the units digit of 6\/(0 - x\/420)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26024804 is divided by 3253100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 97*o**2 + 2*o + 2. Let w(t) = -486*t**2 - 11*t - 11. What is 11*f(c) + 2*w(c)?\nAnswer: 95*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 0, -4, -134?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -16721\/9 at most -1857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-10 - 2 - -12)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*m**3*z + 191*m**3 - 9*m**2*z with respect to z.\nAnswer: 8*m**3 - 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-44)\/(-40)*8455\/6 + 1. Let n = k + -1544. Find the common denominator of n and 67\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.139784 millimeters to micrometers.\nAnswer: 2139.784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -95963?\nAnswer: 3\/95963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2446 to the nearest 10.\nAnswer: -2450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 30.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*i = 100*i + 22*i + 2368 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppwpwypjm. What is prob of picking 1 y and 1 j?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2. Let z(n) = -4402*n - 2. Give q(z(t)).\nAnswer: 38755208*t**2 + 35216*t + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 636239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 36 = -2*j - 3*j, -5*s = -5*j - 220. Suppose 2*g = g + s. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 1)*(-3 - 2*z + 3) + 2*z - 3*z + 3*z)*(30*z**3 - 3*z**3 + 46*z**3).\nAnswer: 292*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 5*q + 23. Let r = q + -8. Suppose -2*v = -k + 6*k + r, -4*k - 2 = v. Is 1\/9 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.5 + 2. Let y(t) = t**3 - 27*t**2 - 30*t + 60. Let d be y(28). Which is the closest to -1\/7? (a) v (b) 2\/11 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1799 - 79 = 4*r. What is r rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 5. Let k(w) = -13*w**2 + 8*w - 46. Let x(b) = -3*b**2 + 2*b - 11. Let d(r) = 2*k(r) - 9*x(r). Calculate the remainder when 41 is divided by d(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33903105 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x - 18*x - 10*x + 42*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzl when three letters picked without replacement from lzuz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1497*j**2 - j + 5. Let d(a) = 753*a**2 - a + 3. Determine 5*d(z) - 3*r(z).\nAnswer: -726*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5698)\/(-44))\/37)\/(-3*(-3)\/36)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243562330?\nAnswer: 2, 5, 7573, 16421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 17 + 4)*-1. Let h = x + 19. Solve -9 = -3*f - h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 33*l + 15*l - 77 + 62 - 46. What is d(-14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 11*v. Let t(w) = w**2 + 9. Determine x(t(z)).\nAnswer: 11*z**2 + 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3600, 16, 0.5, -9.6?\nAnswer: -3600","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -8*r**2 - 7*r. Let v(z) = -2*z**2 - 2*z. Let i(q) = 7*v(q) - 2*w(q). Let x(o) = 5*o**2 - 3*o**2 - o**2 + 2*o**2. Calculate i(x(u)).\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/(-99)*2994*(-3)\/(-2). Let c = a - 79. What are the prime factors of c?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203 != 1170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0.2. Let x = -13.2 - -13. Which is the closest to 1\/4? (a) -5\/2 (b) j (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from chfehc. What is prob of sequence hecf?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*m + 1320944 = 1321210 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 593194 and 624.\nAnswer: 185076528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4097 by 5.\nAnswer: 4097\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 10 - 25 + 6 + 2 + 6 - w. Let m(k) = k**2 + 2*k - 1. Calculate m(a) + 2*p(a).\nAnswer: a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8343 - 4384. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19216*s - 2370*s + 22086*s - 3097*s.\nAnswer: 35835*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (8 + 14) - (14 - -7)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i - 1. Let a(r) = r - 1. What is 11*a(c) - 4*p(c)?\nAnswer: -5*c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 562594059*r**2 + 734295952*r?\nAnswer: 1125188118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 509518 and 211118?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30430, -30449, -30468, -30487, -30506, -30525?\nAnswer: -30544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1393 and 280917.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**6\/720 + y**5\/20 + y**4\/3 + 7*y. Let t(n) be the third derivative of f(n). Let v = -16 - -11. Determine t(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -4350.\nAnswer: 1\/2175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 602843 and 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-20))\/(((-189)\/30)\/9)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 4324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*b*i*j**2 - b*i*j*u - 1362*b*i*j + 346*i*j**2*u + 112*i*j*u + 461*j**2*u wrt j?\nAnswer: -12*b*i + 692*i*u + 922*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3153885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 3*b**3 - 13*b**2 + 14*b**2.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = w, 3*w = -4*g - 0*w - 10. Let j be (g + -4 - -4) + 0. Which is smaller: j or 20?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -25*z**2 - 13*z + 10. Let t be (-9 + 76\/6 - 6)*-3. Let c(a) = -17*a**2 - 9*a + 7. Determine t*c(o) - 5*i(o).\nAnswer: 6*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/3*v**3 + 0 - 244\/3*v**2 + 0*v = 0. What is v?\nAnswer: -61, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5616\/33 + 4\/(-22). Suppose -9*h - 70 = -16*h. What is the highest common factor of z and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/3))\/y)**26*y**(-1)*y**(1\/4)\/y*(y\/y**(-2\/5))**26*(y**(-1\/2))**(-4\/7) assuming y is positive.\nAnswer: y**(11033\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - m**2 + m - 1. Let y(h) = -3*h**3 + 7*h**2 - 12*h + 12. Let o(r) = -4*s(r) - y(r). Let d be o(-5). Solve d*w = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 5. Let r be m(5). Let p be 3 - r - (3 - 0). Solve 5*o - 2*o + 3 = p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -56399, -112922, -169673, -226766, -284315, -342434?\n\"Answer: -19*y**3 - 56390*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 880 + -722. Calculate the remainder when 3314 is divided by g.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, s: 2, m: 1, l: 2, e: 3, k: 3}. Give prob of picking 2 k.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95 - -92. Let j be (o\/6)\/(-1)*(-2 - -2). Differentiate -6*g**2 + j - 4 + 48*g**2 + 16 wrt g.\nAnswer: 84*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629?\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, p: 9}. Give prob of sequence ppp.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(-6))*((v**(-1\/2)\/v*v)\/v)\/v*v*v)**12)**(1\/9) assuming v is positive.\nAnswer: v**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 52998037039206?\nAnswer: 52998037039209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*p + 9, 0*n - n - 12 = 3*p. Suppose n*m = m. Solve -9 = -3*a - m*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 355 = a, m - 73 = -4*a - 2. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.209 - 0.009. What is the nearest to 8 in j, 2\/13, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20306 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0 (c) 3\/2 (d) 23 (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddi when three letters picked without replacement from {d: 2, i: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 8cd930?\nAnswer: 8cd92f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 5*o**2\/2 - 2*o + 3. List the prime factors of m(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -28. What is the remainder when a is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 6 + 12 + (-4 - -8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -35.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 173316246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -1. Let h(u) = u**2 + 4*u + 7. Let c(g) = 4*d(g) + h(g). Find x, given that c(x) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6880.386 nanoseconds in minutes?\nAnswer: 0.0000001146731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5018 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 6:47 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77901*o**4 - 231521 with respect to o.\nAnswer: 311604*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 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: Suppose -13*t + 10 = -3. Let o(w) = 15*w**2 + 3*w - 2. Calculate the remainder when o(t) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**(4\/5))\/z**0)**(-36))**(-33))**23 assuming z is positive.\nAnswer: z**(27324\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(4\/15))\/r**(2\/19)*r**(-2\/41)\/(r**(1\/5)*r) assuming r is positive.\nAnswer: r**(-7253\/11685)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(21\/(-114)))\/((-166)\/83).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1077771775 and -8.\nAnswer: 1077771767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 131659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 25\/66 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 181.923 - 182. What is m rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqqlbbqbbbbqbbbqlbbb. Give prob of picking 4 b.\nAnswer: 143\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 13*y**2 - 20*y - 10. Let g be 356\/32 - 3\/24. Let u be x(g). Calculate the greatest common factor of u and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1675)\/(-10720)*8\/10. Which is the nearest to 2\/3? (a) -2 (b) -5\/2 (c) 3 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v. Let p = 430 + -428. Suppose 0 = 4*m + 4*k + 40, -2*m + k + 5 = -p*k. Let w(x) = 18*x. What is m*w(q) - 20*s(q)?\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/257 + 239\/2313. What is the nearest to -0.3 in 0.3, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10616452 (base 7) to base 10.\nAnswer: -929077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1715 + 1692. Let i be 0 - (24 + -2 + 1). Let q = t - i. Solve -3 = -o - q for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 4*o + o)*((1 - 3 + 1)*(-1 + 1 + 4) + 3 + 2 - 3).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.829 or -79\/3?\nAnswer: -79\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 + 64. What is the biggest value in 2\/7, -4, x, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -425897336 by 1.\nAnswer: -425897336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -67283\/6284 and -10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 466, 2197, 5186, 9433?\nAnswer: 14938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -7*g - 336. What is the highest common factor of 21 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5\/20 + (-301620)\/(-176)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 21 + 2*i**2 - 6*i - 10 - 3. What is the units digit of t(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.8, 0.3, -2\/173, 2, 4, -4 in descending order.\nAnswer: 4, 2, 0.8, 0.3, 0, -2\/173, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 772 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (230\/14)\/(-5). Let n = u + -109\/14. Let p = -0.04 + -0.36. What is the nearest to 0 in 0.3, n, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4962 + 1153. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 6 = 3*t + s, -2*s + 2 = t. Suppose -t*g - 2*m + 5930 = 2*g, 3*g = 2*m + 4437. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 4, -221, 1, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 4*a + 7. Let w be m(-5). Let k(z) = -z**3 - 7*z**2 - 9*z - 10. Let q be k(-6). Solve -w*l - q = 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**6\/120 + u**5\/30 - u**4\/24 + u**3\/6 - 4*u**2. What is x(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 1460 = -1961. Suppose 0 = 4*f - o - 424, -f + 4*f + o = x. Is f a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r - 28*r**3 - 117026161 + 117026161.\nAnswer: -28*r**3 + 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -512\/33 + 46\/3. Let w(q) = 3*q + 9. Let p be w(-3). Which is the closest to 2\/3? (a) 1 (b) n (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 7*g**2 + 12*g + 12. Determine t(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}