diff --git "a/data/dm_maths/full_data_1/2269_11255.jsonl" "b/data/dm_maths/full_data_1/2269_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2269_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify 0 + (((sqrt(1872) - sqrt(1872)*2) + 1 + 4)*-3 + (-2 + sqrt(1872) + 1 + sqrt(1872) + sqrt(1872) + sqrt(1872) + 2*(1 + sqrt(1872)))*2)**2.\nAnswer: -4680*sqrt(13) + 421369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((22\/(-77))\/(12\/(-4)))\/(3\/27).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from possskskokss. Give prob of sequence osk.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29229\/102326 - -1\/14618. Let b = -2.7 + 15.7. Sort 0.03, t, b in decreasing order.\nAnswer: b, t, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/5 (b) 3 (c) 2\/2105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwbiuzbs. What is prob of sequence iubb?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 17*l**2 + 27*l + 41. Let o be u(18). Let i = o + -355. What are the prime factors of i?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 13. Let q be 21 - -4*1\/f. Suppose -5*o = -5*c - 35, 4*o + 3*c - q = -2*c. Solve o*r - r = 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37538172 to the power of 1\/3, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u. Let c be b(-1). Let j be 3 - c - (-22)\/(-8). Let x = 2.939 + 0.061. What is the nearest to 0.1 in -0.4, j, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i - 6*i**2 - 4*i**2 + 9*i.\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -656 = 26*s + f - 634, 0 = 4*s - 2*f + 12 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(7) + 2 - sqrt(7))*-4)**2 + sqrt(252)\/sqrt(4) + 4.\nAnswer: 3*sqrt(7) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-3\/4)*o\/((o*o\/o**1)\/o)*(o**(2\/3))**(-21\/2))**(-1\/39))**(-2\/11) assuming o is positive.\nAnswer: o**(-19\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqqqssosqoossqo. What is prob of picking 1 s and 1 q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/(a*(a*a**(2\/7))\/a))*a**(-1\/12)\/a*a)**(-21)\/(a**2\/(a**5\/a)*(a\/a**3)\/(((a\/(a*a\/(a\/(a\/(a*a**(-7)\/a)*a)*a)*a*a))\/a*a)\/a)) assuming a is positive.\nAnswer: a**(-213\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 2160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 4*w - 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2083 divided by 12?\nAnswer: -2083\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(1\/2))\/(s\/s**(-16)*s))**6 assuming s is positive.\nAnswer: s**(-93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.47 * -23313\nAnswer: 10957.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*h + 229*h + 237*h - 686*h.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/18434493 and 125\/405558846?\nAnswer: 405558846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6699\/462*2\/2*-2?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100101 + -11000010000101?\nAnswer: -10111100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 207273 + -137426. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 289914515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 - -71. Suppose -27 = 2*r + a*g, 8*r - 21 = 4*r + 5*g. Let c be ((0\/(-1))\/(-2 - 0))\/r. Solve 5*p - 1 + 26 = c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -151853830*q**3 - 11578*q**2 - 11*q - 103 wrt q?\nAnswer: -911122980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 - 20.54. Let l = -25 - x. Let o = l + 4. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10314 + -314141?\nAnswer: -330010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 369355547 and -7276.\nAnswer: 369348271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -6, -23, -4, 3, -239 in descending order.\nAnswer: 15, 3, -4, -6, -23, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 0, -4 in ascending order.\nAnswer: -37, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*t - t = -10, 15 = 3*n - 4*t. Let c(z) = 4*z**3. Let b(o) = o**3 - o**2 + o. What is n*c(l) - 2*b(l)?\nAnswer: 2*l**3 + 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 442 (b) -6\/5 (c) 2 (d) 0.4 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1074294661 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1673, 5738, 12201, 21056, 32297, 45918?\nAnswer: 61913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/67, 2, 4, 5 in ascending order.\nAnswer: 1\/67, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -94*r + 186. What is k(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 2. Let h be 2\/(-3) - 28\/(-6). Let x be f(h). Suppose 5*b - x*g = -2*g + 459, 4*b = g + 376. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -105, -1952 in decreasing order.\nAnswer: -5, -105, -1952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 43412664 to the power of 1\/2, to the nearest integer?\nAnswer: 6589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 11*h + 8. Let r be n(-12). Sort 19, r, -5.\nAnswer: -5, r, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33ba5 (base 12) to base 3\nAnswer: 10111210022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10426 is divided by 43?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 11:37 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 587 + -332. Does 51 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12058699*n**3 - 75384678*n**2 wrt n.\nAnswer: -72352194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1297 and -18.\nAnswer: 23346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 + -143. Let r = h + 56.99999954. Round r to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -799681*c**3*f + 5*c**3 + 27*c**2*f**4 + 41127 wrt f.\nAnswer: -799681*c**3 + 108*c**2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -8*o + 40. Let d be y(5). Solve d = -0*b - 4*b + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241732?\nAnswer: 2, 223, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150865 is divided by 4195?\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(-21\/5)))\/a**(-3\/7))**(-49) assuming a is positive.\nAnswer: a**(-1134\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19649165 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180251, 360341, 540283, 720077, 899723, 1079221, 1258571?\nAnswer: 1437773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 3. Let x = 3 + -3.1. Let t be 16\/(-20)*(3 + 16\/(-12)). Which is the nearest to t? (a) -3 (b) x (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 54 = -3*d. Put -4, 2, d, 4 in ascending order.\nAnswer: -4, 2, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13668384.\nAnswer: 2, 3, 173, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -48, 2\/15, 26, -23?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1152 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (13\/((-156)\/80))\/((-32)\/24). Find the third derivative of -38*o**d - 245*o**2 - 27*o**5 + 75*o**5 - 35*o**5 wrt o.\nAnswer: -1500*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38969 - -102.41\nAnswer: 39071.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-225)\/315*(-4)\/10.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 6*d**2 - 2706*d - 16267. What is i(-6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*y = -30, 3*j - 5*y + 9 = -4. Let p be 14\/(-3) - (-4)\/6. Sort p, j, -3 in ascending order.\nAnswer: p, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-5))\/(6\/4). Let c = -0.05 + -0.35. Let b = -25444 - -127222\/5. What is the nearest to k in 0, b, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9*f**2 + 2*f + 6. Let t(c) = c + c + 11 - 4 + 10*c**2. Suppose -82*h + 5*j - 4 = -86*h, 3*j = 2*h - 24. What is h*t(o) - 7*s(o)?\nAnswer: -3*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 12 (b) 3 (c) -52 (d) 0.9 (e) 71\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*9\/(-108)*9\/(-13).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.02 and 1363827926356.\nAnswer: 1363827926355.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1066543200 to the nearest 100000.\nAnswer: 1066500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -8, 0, 10, -2 in decreasing order.\nAnswer: 10, 0, -2, -8, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 2:30 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 + (-894)\/(-6))*(-1 + 0). Is 2206\/26 - 22\/n a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16213 + 16216. Let 0*s**2 + 0 + 4\/3*s**x - 4\/3*s = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*a*r**3 + 581*a*r - 3*r**4 wrt r.\nAnswer: -114*a*r - 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 102\/(-24))\/(0 - -2).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*x**5 - 20 + 3*x**5 + 10*x**5 + (-x**3 + 3*x**3 + 0*x**3)*(56*x**2 - 41*x**2 + 89*x**2).\nAnswer: 214*x**5 - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - w - 1. Let t = -447 + 469. Suppose -76 + t = 27*i. Calculate x(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/l**(2\/5))\/l)\/l*l)**(-1\/25)\/(l**(-1))**(5\/2) assuming l is positive.\nAnswer: l**(619\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -7, 14, 43, 80, 125, 178?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40\/18 - 2\/9. Let h = -2 + 5. Suppose -m + h + n = 0. What is the closest to 0 in 2\/11, -2\/3, m?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(44) + 1*sqrt(396) - ((sqrt(121) - sqrt(121)*-1)\/sqrt(11) + 0)*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42523 or 42519?\nAnswer: 42519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 + 81*w + 253. Determine j(-29).\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9015 = 5*w - u, 5*w + 15*u = 11*u + 8990. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldltddwlwdlzlted. What is prob of sequence ed?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.42 - -8.55. Let a = -4018 + 4009. Let m = w - a. What is the third biggest value in m, 0.4, 4, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p**3 + 7*p**2 - 3*p + 3. Let j(n) = -10*n**3 + 15*n**2 - 7*n + 7. Let u(b) = -7*a(b) + 3*j(b). Find the third derivative of u(w) wrt w.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/640, 2\/17, 4 in ascending order.\nAnswer: 1\/640, 2\/17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/1621 or 5584?\nAnswer: -14\/1621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 2 - 8 = d, 4*b - 1 = -7*d + 49 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7747*y**3 - 950*y**2 - 3 wrt y.\nAnswer: -46482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7832109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11211, 44830, 100861, 179304?\nAnswer: 280159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -25\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*t - 79286 - 30109. What is the thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 5:48 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 59271959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2. Let v(n) be the third derivative of -17*n**4\/24 - 3*n**2. Give v(p(g)).\nAnswer: 34*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-2)*((-12)\/8 - -2). Let j = 0.4 - 0.2. What is the nearest to a in 2, j, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 124, -0.4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(432\/(-45))*30\/(-40)*4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 336 + 208 = 0. Let v = 429 + h. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**3 - 50*g**2 + 94*g - 46 = 0.\nAnswer: 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 8*s - 7. Let k be t(6). Suppose -k*n - 2*v + 70 = 0, -2*n + 4*v = 2*v - 14. Calculate the highest common divisor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*o**5 - 400207*o**2 - 2259669*o wrt o?\nAnswer: 340*o**3 - 800414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000010101010 - -11101000110?\nAnswer: -1100101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 6*m**2 + 164*m + 5*m**2 + 4*m**3 + 21*m**3 + 5*m**2.\nAnswer: 25*m**3 + 4*m**2 + 164*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.14 + 0.44. Let o = 0 + u. Let s = -47\/155 + -3\/31. What is the closest to s in o, 5, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436 is divided by 91?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (928*v - 222*v - 114*v)*(v + v - 3*v).\nAnswer: -592*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 a when four letters picked without replacement from {y: 7, s: 4, a: 4}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 1.9. Let s = -23.35 - -22.35. What is the closest to y in 2\/5, s, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**6\/72 + 5*d**5\/24 + 5*d**4\/4 - 19*d**3\/6 + 22*d. Let t(c) be the second derivative of h(c). Factor t(r).\nAnswer: 5*(r + 2)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10e - 4ce56?\nAnswer: -4cd47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m + 2*m + 1 - 45*m - m + 10*m - 3*m.\nAnswer: -29*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-7) + 0 + 1)*1\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 339, 844, 1649, 2754, 4159, 5864?\n\"Answer: 150*g**2 + 55*g + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5212177 is divided by 1303043.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*d = 247*d + 236951. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 2*j**2 + 2*j - 5270. Let m be x(0). Round m to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 0*b - b - 64, -3*k + b = -188. Let r be 3 + ((-16)\/(-120) - 1174\/30). Let g = k + r. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 57*l**2 - 52*l - 521. Give z(58).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6*4*(-15)\/(-10). Solve k = 3*h + 2*p, 3*p + 22 = 2*h + 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 18 + 5)*(0 + 7 - 2)*(3 - 3 - 2*x - 3*x - 3*x + 4*x + (0 + 0 + x)*(0 - 1 - 1) - 2*x + 0*x + 3*x - 2 + 2*x + 2) in the form s + i*x and give i.\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**5 - 25*h**4 - 40*h**3 - 20*h**2.\nAnswer: -5*h**2*(h + 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42027 - 221*j**2 - 42027 + 264*j**2.\nAnswer: 43*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**2 + 8*w. Let a(m) = -m**2. Let b(o) = -5*a(o) - j(o). Let t be b(-8). Which is smaller: t or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 19*j - 3*j)*(-23*j + 17*j - 4*j + 58*j).\nAnswer: -960*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -551*x**3 + 2*x**2 + 3*x + 5871. Let d(a) = 551*a**3 - 2*a**2 - 4*a - 5870. Let p(o) = 2*d(o) + 3*l(o). Find the first derivative of p(n) wrt n.\nAnswer: -1653*n**2 + 4*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**7\/30 - u**5\/30 + 37*u**4\/12 + u**3\/6 - 67*u**2. What is the second derivative of w(z) wrt z?\nAnswer: -84*z**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -705\nAnswer: -1\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 380*v - 2305. What is h(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 632 + -345. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6474 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/300)\/(-14)*(-11)\/(198\/6)*6.\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 14*z - 4. Let x(p) = 2*p**2 - 6*p + 17. Let u be x(5). Let w = u - 44. What are the prime factors of o(w)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(85)*-2)\/sqrt(5))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52221 and 2472.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 9:19 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6587 + 6661. Suppose -270 = -4*g + 5*v - 3, g = -5*v + 98. Are g and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u**2 + 10142 - 10142.\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 162031 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85133 is divided by 28372.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000011993 rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**5 + 1323*z**4 + 78102*z**3 - 15122370*z**2 + 342800775*z + 2101008375 = 0.\nAnswer: -263, -5, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000464116945 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*g - 27 + 4 + 101*g + 22 + 128*g.\nAnswer: 29*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 24525.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2*-1 - 2) + -2. Let t be -6*-2*(-3)\/l. Let j = t - -1. Solve j*h = 2*h - 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -78*s + 8. Let k be c(1). List the prime factors of (0 - 1644)*(4 - k\/(-15)).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17500800 to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 + -38. Let l be (-8)\/(-20) + 2\/(-5). Solve l = z + a - 3, -3*z + s*a + 4*a + 9 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69214937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -52a69612 + 0?\nAnswer: -52a69612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4222, 3563, 2904?\nAnswer: 2245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*v = 25*v + 30*v. Solve -15*g + 42 + 3 = v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 7:47 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -454 (base 6) to base 10.\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53424 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*r + 43 = 0, 0 = v + 3*v + 5*r - 81. Let a = v + 16. Suppose 2*x = 5*x - a. Calculate the least common multiple of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z - z**2 - 2 + 4*z + 0*z**2 - 1. Suppose 438 = -18*h + 510. Let k be p(h). Solve -5*c = 4*f + 11, -4*c - k*f - 8 = 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -546, 3, 2 in descending order.\nAnswer: 3, 2, 0, -4, -546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 - c + 3. Let x(j) = -4*j**2 + 2*j - 2. What is 3*m(f) + 2*x(f)?\nAnswer: f**2 + f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 54ba43a (base 12) to base 4\nAnswer: 331230003232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 15910*f. Let k(t) = -2*t**2 - 3055*t. Give r(k(x)).\nAnswer: -31820*x**2 - 48605050*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 202723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46502807.\nAnswer: 13, 631, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3)*i**(-1\/3))\/(i**(-6)\/i**(-1\/5))*i**(1\/6)\/((i**6\/i)\/i*i)*i**(2\/7)*i*i**(-3) assuming i is positive.\nAnswer: i**(-367\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 245*l - 2. Let d = 5 - 7. Let x(z) = 65905*z - 539. Let v(n) = d*x(n) + 539*r(n). Let i be v(2). What is i rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 1704040, -4 in increasing order.\nAnswer: -5, -4, 4, 1704040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14595 and 2295?\nAnswer: 2233035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/48045 and 23\/86481.\nAnswer: 432405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 248206 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 24049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one fifths of a century?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 364, 0.8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + o + 8. Give r(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37? (a) 0.5 (b) -2\/5 (c) 3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s + 35*s + 9*s - 19*s + 9*s.\nAnswer: 53*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 + 1. Put 0.3, q, -1\/5 in increasing order.\nAnswer: -1\/5, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/22 and -59\/9.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -12. Let k(w) = w**3 + 5*w**2 - 8*w - 7. Let o be k(a). Solve o*s + 23 - 3 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**3\/3 - o**2\/2 + 6*o + 2479. Let d(k) = -k**3 + 1. Let v be d(0). Suppose v = -m - 4. Determine u(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 991*h**5\/20 + 543*h**2 + 1064*h. Find the first derivative of l(f) wrt f.\nAnswer: 2973*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -10704*u. Let m(f) = -f. What is m(y(t))?\nAnswer: 10704*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4\/5 - 11338*d**3\/5 + 1134*d**2.\nAnswer: -2*d**2*(d + 2835)*(2*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*g**2 - 181*g**2 + 520*g**2 - 175*g**2 + 15*g**3.\nAnswer: 15*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y + 18 = -12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 219 + -221. What is the closest to m in -3, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 12, -3\/8, -1\/4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*k**5 + 148*k**4 + 5080*k.\nAnswer: -460*k**3 + 1776*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -3 + -8 + 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 9:24 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*f + 2. Suppose f*b - 429 = -47. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 22*n + 22. Suppose 38*g = 34*g + 64. Let p(z) = -7*z - 7. Calculate g*p(w) + 5*i(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - 531\/(-171) - 4\/38. Which is the nearest to 2? (a) -0.1 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 + -46.4. Let h = y - -1.31. What is h rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + (-3990)\/342)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {c: 2, m: 7, k: 6}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1381.9869 months to millennia.\nAnswer: 0.115165575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {b: 1, x: 2, u: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 0.05 (c) -2\/11 (d) -194\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 176 - 217.6. Let y = 33 + a. Let f = -17 - y. What is f rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*h = -0*h + 217, 0 = -2*y - 2*h + 126. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -728 + 738. Solve -b*y + 60 = 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -8*s**3 - 2703*s + 5403. What is a(2)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3031603625.\nAnswer: 5, 17, 281, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -129.2 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24478780*x**3 - 3*x**2 + 1282480*x + 3.\nAnswer: 146872680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -42*i + 18. Let q be d(-9). Suppose 0 = -14*r + 500 + q. What is the greatest common factor of 16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 148 and 360?\nAnswer: 13320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 8:20 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -48? (a) 2\/5 (b) -22\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22095\/(-36) + (-2)\/(-4). Let n = b - -606. Find the common denominator of 29\/11 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y = -3*q - 13*y - 12, 3*y = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38578 + -12940. Let v = 158518 + n. What is v rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126029354.\nAnswer: 2, 11, 139, 41213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 72*c + 16 - 70*c)*(4*c**3 - 9*c**3 - 22*c**3).\nAnswer: -54*c**4 - 702*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241861 + 242597 = -23*c for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -192*l - 4. Let h(f) = 227*f + 3. Determine -3*h(u) - 4*w(u).\nAnswer: 87*u + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaaa. Give prob of sequence aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 9 = -3*v. Suppose 3*h = -5*i, v*h + 0*h + 15 = 0. Suppose 4*s = u + 3, -u - 14 = -5*u + i*s. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/9 + (-44)\/3. Let t be -1*2 + 2 - q. Let o = -6 + t. What is the least common multiple of 22 and o?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 167*a**2 + 474*a + 5900. Give j(170).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5768 is divided by 1919.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6227, 6781, 8295, 11249, 16123, 23397?\n\"Answer: 80*h**3 - 6*h + 6153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 3*l - 4*x, -3*l + l - x + 59 = 0. Calculate the highest common factor of 126 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -88 (b) 1\/3 (c) -3 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 8 = 32. Solve -w = -2*y + 2*o + 7, 5*y - o - 18 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48481?\nAnswer: 48481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 7) to base 4.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -85569804 divided by 2154?\nAnswer: -39726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-55)\/(-11) + 3 + 2511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -393 (base 13) to base 7.\nAnswer: -1554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -357, 4 in increasing order.\nAnswer: -357, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 8*c**2 + 10*c - 10. Let y be v(9). Let m = y - -3. Let h = m - -25. What is the highest common factor of h and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 20 = 3*n. Let r(a) = a**3 - 22*a**2 + 117*a - 60. Let c be r(14). Solve y + c = -n*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -196655449.3 rounded to the nearest 100000?\nAnswer: -196700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -113*r. Let t(j) be the first derivative of j**2\/2 + 38. Give w(t(s)).\nAnswer: -113*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2052564641 + 3?\nAnswer: -2052564635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 8*j = -180. Let x = j + 21. Factor 1\/3*u**x + 2\/3*u**2 + 1\/3*u + 0.\nAnswer: u*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -113 + 116. Solve 0 = -4*u + 4*h - 28, -4*u + 0*u - r*h - 14 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + (-3 - -6))*(-1)\/(-2). Suppose -1654 = -4*v - 2*q, -2*v + 5*q - 4*q + 833 = d. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2202 - 2204. Put c, 53, 0 in increasing order.\nAnswer: c, 0, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyhyayyyy. What is prob of picking 1 h and 1 a?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/48 and -95\/10306736?\nAnswer: 30920208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16*(-4 - 102\/(-24) - 0). Let v(g) be the second derivative of 1\/12*g**u - 11\/2*g**2 + 0 + 0*g**3 + 10*g. Determine v(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 335, 404 in descending order.\nAnswer: 404, 335, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.77755 in -1\/8, 6\/11, -3\/2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -165440 + 4.\nAnswer: -165436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**5\/60 - u**4\/3 + 4*u**3\/3 + 9*u**2. Let p be r(-5). Which is greater: p or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from kbtpbk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1236268050 to the nearest 100000.\nAnswer: -1236300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7124 = -9*b - 25798. What is the hundreds digit of (-95)\/(-30) + -3 + b\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122524646?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.9 + -4. Let j = -1 + 1. Which is the second smallest value? (a) x (b) j (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*o**3 + 2118*o**2 + 9*o + 815413?\nAnswer: 6*o**2 + 4236*o + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 0*p + 4*p**2 + 0 + 1\/60*p**5 - 7\/6*p**3 + 0*p**4. Differentiate v(h) wrt h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2898642399?\nAnswer: 3, 966214133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.2, 18.98, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 23184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100110 (base 2) in base 14?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2 - (-54)\/(-4). Let k be 1*(1 + -1) - p. Suppose -s + 585 = 8*s. Calculate the greatest common divisor of k and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from {t: 2, e: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2517\/136 + -1\/136. Let f = t + -261\/14. Put -4, 4, f in decreasing order.\nAnswer: 4, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*q = -146, -3*q - 256 = -4*u - 2*q. Let x = u + -191\/3. Which is smaller: 4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2 - 3, -3*n - 3*a - 9 = 0. Let b = 3 - n. Let f be -1 + (-30)\/(-3) + b. Calculate the highest common divisor of 4 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - d**2 - d. Let i = 0 + 2. Let w be u(i). Let f be 46\/14 + w\/(-7). Solve -f*o + 6 - 3 = -2*k, -3*k + 4*o - 3 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, z: 1, p: 2}. What is prob of picking 1 z and 1 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.002 and -123?\nAnswer: 0.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 0*h + 34\/3*h**3 + 11 - 15\/2*h**2. Find the second derivative of d(o) wrt o.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 762 a factor of 907542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, a: 4, g: 1, f: 2}. Give prob of sequence af.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k - 9 = -9. Let w(h) be the third derivative of -17\/3*h**3 + 7\/20*h**5 + 0*h - 4*h**2 + k + 0*h**4. Differentiate w(p) wrt p.\nAnswer: 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + v + 116 - 130 = 0, 4*v - 9*v = -a + 6 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*t - 0*t. Suppose -4*v - 18 - t = 0. Let u = v + 8. Sort -5, u, 2 in descending order.\nAnswer: u, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 3*w - 48. Let a(y) = 20 + 21 - 12 - 4*y + y. Let q be a(5). Is t(q) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkq when three letters picked without replacement from {q: 2, k: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 44259255, 44259256, 44259257, 44259258, 44259259?\n\"Answer: h + 44259254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-6))\/((-4)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -333 - -335. Let p(v) be the second derivative of 1\/140*v**5 - 1\/28*v**4 - 5\/42*v**3 + 1\/210*v**6 - 1\/7*v**u - 6*v + 0. Factor p(k).\nAnswer: (k - 2)*(k + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -22*u**3 - 21*u**2 + 3*u. Let i(b) = -21*b**3 - 20*b**2 + 4*b. Let y(p) = 2*i(p) - 3*o(p). What is the third derivative of y(g) wrt g?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35687 and 6223.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**5 + 31*l**4 + 55*l**3 - 87*l**2 = 0 for l.\nAnswer: -29, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 808.\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - d + 12. Let i be q(0). Let w(l) = l**3 + 5*l**2 - 6*l - 2. Let o be w(-6). Let j = i + o. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -2. Suppose -x*c + 4 = -0. Solve -c*m = 3*b + 19, 4*b + 5*m - 20 = -50 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 4 + 5)*2. Let q = 36 - 7. Let s = q - z. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -118944 + 31639221\/266. Find the common denominator of h and 29\/672.\nAnswer: 12768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -0.62.\nAnswer: 2.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01935934 and 23?\nAnswer: 0.44526482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 15*m - 32. Determine p(9).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 4, -1, 18, -9, 1 in increasing order.\nAnswer: -9, -1, 1, 4, 18, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -221, -3, 95, 5.\nAnswer: -221, -3, 5, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 2\/19, -1\/4, 1\/2, -118\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l + 5 + 5187*l**3 - 5282*l**3 - 6.\nAnswer: -95*l**3 + 18*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**34)\/(b\/b**(2\/7)))\/((b\/b**(-19)*b*b)\/(b\/b**19)) assuming b is positive.\nAnswer: b**(-40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*119194\nAnswer: 11919.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 22 = d + 4*k, -2*d - 3*k - 18 = 0. Let p(j) = -j. Let s be p(d). Suppose -3*b + 123 = -s. Calculate the remainder when 75 is divided by b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z + 4. Let m be x(3). Suppose 4*h + 5 = m. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -813 * 2.\nAnswer: -1626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80*w**3 - 55*w**3 - 4*w**3)*(5*w - 5*w + 3*w)*(-4 + 5 + 0).\nAnswer: -417*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5305*-91.\nAnswer: -482755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12606*i**2 - 14*i + 4892025?\nAnswer: 25212*i - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**2 + 5*z**2 - 2*z**2 + (-11*z - 18*z - 22*z)*(-2*z + 0*z + 4*z).\nAnswer: -103*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 125211 greater than 1627728\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 12:25 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2*n*n*n\/(n\/n**(3\/2)*n*n))\/(n**(-4)\/n*n**2))\/((n\/(n*n*(n\/(n*n\/n**(-1\/4)))\/n*n))**38)**6 assuming n is positive.\nAnswer: n**(-101\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c - 5 + 2*c + 2*c**2 - 10*c. Let v(k) = -k**2 - 6*k + 9. Let g be v(0). Is z(g) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2 - 10 - 6 + 5*u + 7 - 4. Calculate p(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333290 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 2:20 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**4\/24 + 81*m**2. Let w(b) = b - 75. Give w(y(g)).\nAnswer: g - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 402*r - 40761. Calculate a(-211).\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 160 = 24. Let x = 190 + -238. Let o = r - x. Solve v + o*v = 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 10*s + 8. Let l(q) = -q - 3. Let h(k) = -d(k) - 4*l(k). Give h(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-1\/3)\/x)\/x)\/x)**(-1\/2)*(x*x**(-3\/8)*x*x)**(-24) assuming x is positive.\nAnswer: x**(-371\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.420799 millennia to months.\nAnswer: 77049.588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(9\/5)*k**(-1\/23)\/k)**(-46)\/(k**(-2\/37)*k**10)**(-4\/11) assuming k is positive.\nAnswer: k**(-63458\/2035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1407182113 and -0.1.\nAnswer: -1407182113.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 r when two letters picked without replacement from {h: 8, r: 5}.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 7:52 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -87. Suppose -9805 = -247*z + 5015. What is the lowest common multiple of z and k?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 262\/1524 + -29*(-96)\/(-16704).\nAnswer: 2\/381","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103 divided by 103.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 3*a - 10, 28*b - 147*a + 150*a - 62 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 38, 37, 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 350*s**2 - 2184*s + 786. Determine z(6).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-4))\/(4\/(-24)*3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -39620 (base 10) in base 12?\nAnswer: -1ab18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -119\nAnswer: -4\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(1\/12)*g*(g\/g**16)\/g*g*g**(-4\/15)*g\/g**(4\/9) assuming g is positive.\nAnswer: g**(-2303\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1079*j**5 - 1934*j**4 - 5655964*j**2?\nAnswer: 64740*j**2 - 46416*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 999314?\nAnswer: 2, 47, 10631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2259410357 to the nearest integer?\nAnswer: 47533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16642145519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**5\/2 + 47*v**4\/2 + 59*v**3 + 20*v**2 = 0. Calculate v.\nAnswer: -5, -4, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1325 - 2*f - 7*f + 0*f + 10*f + f as d + x*f and give d.\nAnswer: 1325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/5 + 602\/(-430))\/(6*(-15)\/(-4995))?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17946550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 151 = -99. What is i rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/10128 and 161\/11352.\nAnswer: 4790544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/80 and 76\/6471915?\nAnswer: 103550640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (75\/((-3)\/1))\/(2\/(-54)). Suppose 3*c + 0*l = -3*l + i, 2*c - 2*l - 442 = 0. Is (c - -19)*(-1)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 821 + -821. Suppose q + 0*q = 3. Suppose -4*z + 0*z + q*m + 15 = 0, 5*m = 15. Solve 3*g = -l - z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 3*i**2 + 2*i**2)*(3 + 2*i**2 - 3 + (1 - 1 - i)*(0*i + 3*i - 2*i)).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 1. Let y(b) = -b - 6. Determine 4*f(z) + y(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3423, 6844, 10263, 13680, 17095, 20508?\nAnswer: 23919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 10, -4*j + 0*c + 16 = -2*c. Let f be (-14)\/(-6) - 2\/6. Solve f*q + 20 = -j*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/10 + 2\/(-10). Suppose -w = w - 2*p + 6, r = -3*w + 5*p - 19. Solve 5*o - i = 15, -w + 9 = -2*o + 3*i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*36844\nAnswer: 184220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21076, -21085, -21106, -21139, -21184, -21241?\n\"Answer: -6*k**2 + 9*k - 21079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 96 * -703.\nAnswer: -67488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 251343795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 5*y = -y - 4, 2 = 2*l - 3*y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9248 - 30599 = -2*j - a, -5*j + 3*a + 99645 = 0. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 + 0.16. Let x = 2 + -2. Let p(h) = -h**3 - 6*h**2 - 8*h - 5. Let v be p(-4). Which is the nearest to t? (a) -0.3 (b) x (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435 = -2*d - 3*b, 0 = 7*b - 3*b - 12. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -4)*5\/(-30).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -140 + 126 - -82 - (-24 + 0)\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**4\/12 - 5*u**3\/3 - 7*u**2\/2 - u. Let g be v(11). Solve -l = -3*l + g*m - 6, 4*l - m = 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 859, -9, -877, -1745?\nAnswer: -2613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - 0.2. Let l = -29624 + 29629. Let m = -4 - -2. Which is the closest to -1? (a) l (b) m (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 19 = -u - a, 4*u + 5*a = 40. Suppose u = 5*n - 0. Solve f = -n*f - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**5\/3 + 14968*d**4\/3 + 19932*d**3 - 44912*d**2\/3 - 209360*d\/3 - 39872 = 0.\nAnswer: -3738, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 2*k**2 - k**2)*(-1493*k**2 - 990*k**2 - 1305*k**2).\nAnswer: 3788*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 169663204 and 488.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/17? (a) 0.1 (b) 4\/25 (c) 1086 (d) 0.4 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 28*u - 17207. Let n(t) = 2*t + 65. Calculate n(o(r)).\nAnswer: 56*r - 34349","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 13*f + 7. Does 7 divide p(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6260269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 4:45 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 17 = 3. Solve -2 = 4*a - z, 0 = -l*a + 6*a - 4*z - 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11+-33621.27\nAnswer: -33621.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*l**2 + 3087*l + 88*l**2 - 3081*l.\nAnswer: -2*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u + 13. Determine g(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 47 - 19 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.4061 weeks to hours.\nAnswer: 2084.2248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1\/3*(1 + 1 + 31) and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g*g\/g**0))**(-1\/87)\/(g**(-6)*g*g*g*g**(-7\/5))*((g**1)**(-2\/25))**(-26) assuming g is positive.\nAnswer: g**(14119\/2175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -147 + 181 - (-3 + -5 + (-1 - 2))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 44 - -12) + 51?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14811 divided by 3\nAnswer: -4937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 699*h**2 - 1993*h + 748. What is the derivative of d(x) wrt x?\nAnswer: 1398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 232178351*m**4 - 413452975.\nAnswer: 928713404*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (86 + -97 - 205\/(-25)) + (-169)\/(-30).\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1793 is divided by 467.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4776553?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - z + 18, -17*c + 14*c = 5*z - 24 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l, -12*l + 10752 = 52*a - 48*a. Is 56 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -66*q**2 - 70*q**2 - 169 + 134*q**2 + (q - 2 + 2)*(-5*q + 2*q + 0*q).\nAnswer: -5*q**2 - 169","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -279156 divided by -139578\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 45\/8 of a kilometer?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 0. Let g(b) = b**2 - 3*b - 1. Calculate the remainder when g(n) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 16 - 0. Suppose -d + 5*r = -38, -5*d - c*r = -r - 162. What is the lowest common multiple of 9 and d?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 43 + (-24 - -4 - 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 7*c**2 + 9*c + 10. Let q be g(-8). Determine o so that 6*o**q - 25*o**2 + 15*o**2 - 3*o**3 + 10*o**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcaqcyxyq. What is prob of sequence ayr?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5766959 to the nearest integer?\nAnswer: 2401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -133*k**6\/6 - k**4\/12 - 381*k**3\/2 - 5*k + 234. Find the second derivative of j(d) wrt d.\nAnswer: -7980*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1199 * 34\nAnswer: -40766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12163540021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 9:31 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2*a - 57, 53*a + 161 = 3*d + 52*a. Solve 78 = 5*h + d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/85 and -71\/338.\nAnswer: 28730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*x - 8, -3 = -2*x + 4*m + 3. Let p be x - (1 + (-35)\/(-10)). What is the biggest value in -2, 5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.14 + 1.11. Let i = -0.03 - o. Which is the biggest value? (a) i (b) -2\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -44 + 0*x - 23\/6*x**3 + 0*x**4 - 1\/20*x**5 + 2*x**2. Differentiate i(b) wrt b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 13.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 4 = -192*i + 190*i, 0 = 2*j + i - 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 11.2. Let g = -4.41 - -4.31. Which is the second biggest value? (a) 0.3 (b) s (c) g (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*c - 15 + 15. What is the nearest to c in -4, -2, -2\/23, -3\/7?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdc. What is prob of sequence cw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 225 - -10.8370578\nAnswer: 235.8370578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 7:30 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(891) + 1) + sqrt(99) + (1 + sqrt(99))*3)**2.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**2 + 7284*r - 687687 = 0. Calculate r.\nAnswer: -2519, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76.2 - 76. Sort 5, 4, w.\nAnswer: w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -98) + (-5457 - -5488).\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 6*h**2 - 2*h + 14. Let p be u(6). Suppose 4*w - 474 = -p*w. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 142350000 to the nearest 1000000.\nAnswer: 142000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108814044?\nAnswer: 2, 3, 9067837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/4)\/(2\/(-28)). Suppose -4*b + a + 1843 = 0, 0 = b + 3*b - 5*a - 1823. Is 24 a factor of (2\/z)\/(-1) - (-49104)\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b + 0*b**2 + 0*b**2 - 2*b + 16 + 8*b**3 - 34.\nAnswer: 8*b**3 + b - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/15 - (-3)\/(-18 - -3). Sort q, 3\/7, 3, 0.3 in decreasing order.\nAnswer: 3, 3\/7, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/3 - 3\/(-9). Let p(m) = -13*m - 4 + 22*m + 0. Calculate the remainder when 67 is divided by p(t).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11122020 - 11?\nAnswer: 11122002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53\/1038 + 20\/173. What is the second biggest value in -1, -4\/5, t, -40?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7339182350166 and 0.\nAnswer: -7339182350166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/5 (b) -13 (c) 25 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-155)\/(-50) + -3)\/((-68)\/(-2040)). Solve -h = a - 2, -h - p*a = -1 + 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q - 34. What is u(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*j - 721 = -350 + 554. Solve j*p - 4 = 29*p + 4*h, -5*h = -5*p - 45 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 - 0.3. Let z be (-3)\/(-6) - 1\/(-2). Sort z, 0.5, k in descending order.\nAnswer: z, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(104)*2)\/(sqrt(648) - (-1*sqrt(648) - sqrt(648) - sqrt(648))).\nAnswer: -sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5048, -8229, -11410, -14591, -17772, -20953?\nAnswer: -24134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.2, -28 in increasing order.\nAnswer: -28, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4226468 to the power of 1\/2, to the nearest integer?\nAnswer: 2056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 + 0)*(-2*l - 487 - 3331 + 986) in the form c*l + q and give q.\nAnswer: 11328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -1 (c) 15 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 0 = -3*z. Let q(v) = -v**2 - v. Let i(m) = -2*m**2 - 14*m - 1. Let w(h) = i(h) - 4*q(h). What is the remainder when w(8) is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -44.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 670 = 3*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-990)*-22*(-24)\/(-208)\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12 + 15)*2\/6. Solve -g - 11 = 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15354025 (base 6) in base 10?\nAnswer: 543905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - 0\/3 - (-20)\/(-10). Let v = -59 + 175\/3. What is the closest to s in v, -4\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -2\/3, 4\/3 in ascending order.\nAnswer: -6, -2\/3, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16750\/3 greater than or equal to 5582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260865 is divided by 451.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -414, -0.5, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 6*i + 28 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-15))\/(5\/(-50)*-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*u = -37*u + 66*u - 1300. Put u, -3\/2, -10 in descending order.\nAnswer: -3\/2, -10, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 490437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8 - 50*h**3 - 47*h**2 + 48*h**2 + 6*h**3 wrt h?\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.927355 rounded to 2 decimal places?\nAnswer: 2.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -9.624. Let y = q - -98.176. Round y to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -0.2 (c) -84 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -193 + 193.1. Let x = -2.3 - -0.3. Which is the closest to 1\/4? (a) h (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-611)\/16 - 0)\/((-5731)\/394). Let o = -2\/5731 + x. Suppose -r + 4*r = 6. Are r and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(13))*-1 - (sqrt(39)\/sqrt(3) + 0) - ((sqrt(26)\/sqrt(2) + -5)**2 + 3).\nAnswer: -41 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 2\/48659 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*w - 3*f - 35, 4*w - 7 = -5*f. Find the first derivative of 10*m - w + 2*m - 8*m wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/57 + -49\/228. Let u = -0.024 + -3.976. Sort -5, u, q, 0.2.\nAnswer: -5, u, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6979 divided by 17399.\nAnswer: -6979\/17399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 615700 divided by -268?\nAnswer: -153925\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**2 - 376*h + 8. Let j(w) = 3*w**2 - 250*w + 5. Give -8*j(b) + 5*m(b).\nAnswer: -4*b**2 + 120*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**5\/(r\/r**(2\/5)) assuming r is positive.\nAnswer: r**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3*f - 13 = 0, -4*r + 5*f - f + 4 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/284)\/(2*3*(-35)\/(-140))?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + u)*(-903 - 378 - 180 + 375) to the form t*u + w and give t.\nAnswer: -1086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06136749804 + -108.06136577804. Let j = -236 + 128. Let n = j - x. Round n to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 201 - 197. Suppose c*f - 8 = 0, 0 = 2*z + f + f - 94. Solve m - 15 = 4*j, 6*m + z = m - 4*j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8995167 or -8995172?\nAnswer: -8995167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -13321?\nAnswer: -66605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/621 and -31\/112539.\nAnswer: 1012851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -43608 divided by -3634\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -11\/4, 2\/9?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 582651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.031911 less than -0.2?\nAnswer: -0.231911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/4)*v)**(12\/11)\/(v**(-1\/2)*v*v**(3\/4)\/v*v)*v**(-2\/7)*(v**0*v)\/v*v*v**(-7)*v*v**(-1\/2)*v assuming v is positive.\nAnswer: v**(-1271\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gw when two letters picked without replacement from {h: 3, r: 1, g: 2, k: 1, w: 2, e: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (74 + (-9 - ((63 - 70) + 2 + -3))).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*z - 1593 = 0, -414 - 5874 = -4*d - 5*z. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -556.3 + 616. Let k = v + -59. Which is the nearest to 1\/2? (a) -2 (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -1.2. Let u = f + 1. Let h be ((-3)\/18)\/(2\/8). What is the nearest to u in -1, -0.2, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 2, b: 1, s: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -63 + 179 + -70 + -21\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -87 (b) 0 (c) -0.5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) - (-4 + sqrt(117) + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 8*c**2 + 20*c + 4. What is v(-7)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1398808254.\nAnswer: 2, 3, 233134709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -412 - -1294. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 9*z + 18 = 3*v, -2*z = -2*v - 8*z - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -720436\nAnswer: 1440872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/2? (a) 1 (b) 39 (c) 231 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -96*m**2 - 1643*m + 9932. What is a(6)?\nAnswer: -3382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5969 greater than or equal to 5975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -132, -468, -1014, -1758, -2688, -3792, -5058?\n\"Answer: 2*o**3 - 117*o**2 + o - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 8 (c) 0.4 (d) 0.729\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40015010135 + 1?\nAnswer: -40015010134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -3.7. Let m = 5194 + -5162. Is m > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355229200 rounded to the nearest 100000?\nAnswer: 355200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 206\/(-24) - 6\/(-24) and 56\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9655609 divided by 27353.\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -144, 82, 4, -4, -27.\nAnswer: -144, -27, -4, 4, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2, 1\/58, 5 in descending order.\nAnswer: 5, 2, 1\/58, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 13*s**2 + 4*s + 2. Let t be (124\/(-24) - -5)*-6. Let a(u) = u + 1. What is t*f(j) - 2*a(j)?\nAnswer: 13*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 + 7*d**4 - 140*d + 171*d + 11*d**4 wrt d?\nAnswer: 216*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, c: 7, a: 6, m: 1}. What is prob of sequence aaa?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3081971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4718 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 3*b**4\/4 + 26771. Let z be -2*2\/4 - 0. Give n(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 7*d + 19 = -5*s, -d - 13 = 3*s. Let u be ((-3)\/(-6))\/(2\/20). Suppose -284 + 14 = -u*v - d*m, 0 = m. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147.8*-0.3\nAnswer: 44.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 151 - 118. What are the prime factors of o\/(-9)*-107 + (-2)\/(-3)?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 7*r + 4. Let j be b(7). What is the highest common factor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f + 1. Let a(b) = -4*b + 2. Calculate -6*a(l) + 11*m(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -d. Suppose d = -o + 6*o - 20. Let z be (-10)\/(-2)*6\/105. What is the second biggest value in -0.3, z, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*u - 45*u + 12 = z, 0 = 3*u + 7*z + 30 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286259 is divided by 286.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (696*q**2 + 520*q**2 + 83*q**2)*((1 - 5 + 3)*(4 + 0 - 2) + (1 - 1 + 7)*(-1 - 3 + 2)) to the form y + c*q + z*q**2 and give z.\nAnswer: -20784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -35202\/31 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 190*f**4 - 3*f**3 + f**3 - 1 + f**2 - 4*f - 188*f**4 to j*f**4 + t*f**3 + b*f + m + x*f**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 250168160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 4:00 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -814000476*v**2 - 945957591 wrt v?\nAnswer: -1628000952*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3867 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 790 and 2528?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u - 10 = 22*u. Find the first derivative of 36 + 33*i - u - 2 wrt i.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, o: 2}. Give prob of sequence oo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12421337 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 180365 bigger than 180404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - 2 - 69\/1. Let p = s + 126. Suppose 2*j - p = -12. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**5\/20 + 4*r**3\/3 + 494*r**2 - r. Let o(t) = -4*t. What is o(v(j))?\nAnswer: 12*j**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -34 and -1.2070146?\nAnswer: 32.7929854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = p + 8, -p - 3*j + 10 = -0*p. Let k be ((-279)\/(-18))\/(p\/46). Let i = -266 + k. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y. Let r(p) = -2252519*p**2. What is r(k(g))?\nAnswer: -20272671*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffssssfffffffs. Give prob of picking 3 f.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -612\/5 + 122. Let y = 3.7 + -4. Let p be (2*4\/(-220))\/(4\/20). What is the second smallest value in i, y, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -4. What are the prime factors of (3 + -3)\/b - -27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 + 58. Let j(u) = 23*u**2 - 51*u + 16. Let b(q) = -q**2 + q. Let p(o) = r*b(o) + j(o). Factor p(g).\nAnswer: 4*(g - 2)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(((-35931)\/580)\/(-59))?\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(1431*o - 708*o + 1193 - 721*o).\nAnswer: 4*o + 2386","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -29 (b) -0.4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -3363359\nAnswer: 6726718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 12, 2 in increasing order.\nAnswer: 2, 12, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (2 - (4 - -6)) + 6 - 2\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*j + 5. Let u = j - 9. Suppose -2*a - u = -3*a. Solve -5*c - 3*r + 15 = -a*c, 3*c - r = -5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/2 - (-143 - 9). Calculate the highest common divisor of d and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 914 + -802. What is the least common multiple of s and 126?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 3*w - 4. What is v(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4260, 8521, 12784, 17049, 21316?\nAnswer: 25585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 1. Let d(m) = -17*m + 4 - m**2 + 3*m**2 + 13*m. What is -d(o) + 4*s(o)?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 - x**4 + 3*x**4 + (x**2 + 3*x**3 - x**2)*(0 - 2 - 1)*(16*x - 3*x - 5*x).\nAnswer: -68*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/5)*a)**(4\/19)*(a**(-6))**(-4\/11) assuming a is positive.\nAnswer: a**(2544\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24262, 24260, 24258?\n\"Answer: -2*f + 24264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**2. Let b(k) = k**2 + 212*k. Calculate b(t(w)).\nAnswer: 9*w**4 - 636*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -1, -6, 1, 0 in decreasing order.\nAnswer: 1, 0, -1, -6, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 726 and 224004?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5181130 = 161*d + 5201738 for d.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (39*(-1)\/(-3))\/((3198\/39)\/(-246))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -3, 0.0613, 1, 2\/13, -2, -0.09?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/3, -1, 109\/2, 1\/4, -25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*p + 84 = 61*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -728210 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12002*y - 186796 = 328325 + 96981 for y.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7450.826 centimeters to micrometers.\nAnswer: 74508260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3 - 8) + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1847 + -312. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-4 + -3 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*o = 195, -27*u + 28*u - o - 50 = 0. Solve 124 = u*k + 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-495)\/(-660) + 705\/210*(-6)\/4.\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i**2 + 0*i**2 - 1691*i**3 + 1687*i**3)*(-2*i + 0*i + 4*i) in the form h*i**4 + y*i**3 + j*i + s*i**2 + t and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22322212 (base 4) in base 7?\nAnswer: -244231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m + 16. Let h be l(-7). Let r(a) = -a**3 - 6*a**2 - 7*a - 1. Let w be r(h). Solve -6*c = -3*c + w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 317796654 to the nearest integer?\nAnswer: 17827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -12*x + 4. Let h(s) = s + 1. Let q(y) = -3*h(y) - l(y). Let v(f) = -5*f + 4. Let u(g) = -4*q(g) - 7*v(g). Let n(t) = 2*t. Determine n(u(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1039 - 1040. What is the nearest to 1 in t, 3\/5, 0.4, -25\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2202 + 210002221?\nAnswer: 210000012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(2\/7))\/s**(-1)*(s*s**(-3\/4))\/s**(4\/5) assuming s is positive.\nAnswer: s**(163\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 99.50787nm?\nAnswer: 0.00009950787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146674 is divided by 9157?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 211 - 351. Let v be c\/255 - (-2)\/3. Is v at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/720 and -103\/100.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 213781?\nAnswer: 18\/213781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -138*t - 339 wrt t.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 110, 106, 100, 92, 82?\n\"Answer: -d**2 - d + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**4\/4 + l**3\/4 - 9*l**2\/4 + 3*l\/4 + 1\/2 = 0.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**3 - 2*q**2 + 7*q + 7. Suppose 25 = -3*v + 2*l, 2*v + l + 6 = -6. Let u(i) = 3*i**3 + 2*i**2 - 6*i - 6. Determine v*u(f) - 6*w(f).\nAnswer: -3*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4442472 - -0.7?\nAnswer: -4442471.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 72006407 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25064 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijissjjwsiijsigjjiii. What is prob of sequence ss?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 18. Let f be s(-13). Suppose 0*x + 3*x = -15, m + 3*x = -23. Is 58 a factor of ((-4)\/(-7))\/(f*m\/4060)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-1*4 - -2). Suppose -11 = -2*r + 5*n, -3*r + m*n = -0*n. List the prime factors of 3\/r*(-372)\/18.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - -16cc?\nAnswer: 16d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1191*c + 178 + 2267*c - 1807*c - 178 + 2948*c)*(-c + 2*c - 3*c) to m*c**2 + k + b*c and give m.\nAnswer: -9198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/22784 and 3\/741632.\nAnswer: 66005248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -259229*r - 339. Is v(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 2*z + 2. Let q = 29 - 29. Factor -1\/2*b**3 + q*b**2 + z + 3\/2*b.\nAnswer: -(b - 2)*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.31*-352.9.\nAnswer: 3638.399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 - 5 + 3 - 8*z**2 to o + u*z**2 + p*z and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 3. Let w be h(9). Let x be w\/(-4)*132\/18. What is the greatest common divisor of 55 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-5)\/((-5)\/7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 7:33 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 23*c - 9 = 0. Suppose -5*q + 1571 = -v, c*q - 940 = 5*v - 7*v. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*y = 79*y - 5*u + 5267, 5*u = -5*y + 13205. Is y a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10744, 10742, 10740, 10738, 10736, 10734?\nAnswer: 10732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 8, -64.\nAnswer: -64, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 953555 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + n - 1. Let g = -8 - -10. What is the units digit of l(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2972*b - 13816*b - 6 + 4 - 30896*b.\nAnswer: -47684*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/41 or 4.69?\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - i + 1. Let j be z(0). Suppose -p = -5*u - 4, 2*u + 3*u = 0. Solve 3 + j = -p*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5156 - -5157. Which is the closest to 0? (a) 5 (b) m (c) 0.1 (d) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 97461770?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 608672 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3079, 6158, 9239, 12322?\n\"Answer: j**2 + 3076*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4552 - 765. Let g = -2630 + i. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*o + 3*x, 0 = 2*o - 4*o + x - 6. Let t be (-24)\/((o\/(-12))\/(15\/(-60))). Put -5, t, -4 in ascending order.\nAnswer: -5, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11276*y + 1760764 = -26455*y for y.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + 3*x**2 - 3*x**2)*(-23 + 6 + 5) + 5*x**3 - 3*x**3 - x**3.\nAnswer: 25*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/5 + 2352964*w\/5 + 1882384.\nAnswer: -4*(w - 588245)*(w + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4494 + 4857. What is the smallest common multiple of 66 and t?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2\/2 + 99*u + 549\/2.\nAnswer: (u + 3)*(5*u + 183)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 428645 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 4*r - 28, 5*r - 5 = -2*v + 24. Suppose -5*h = 4*h - 72. Solve 2*q = 3*n + 5 + h, -q + v = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7523347 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**2 - 55*b + 3. Let s(u) = u**2 + 18*u - 1. Let q(f) = 2*k(f) + 7*s(f). Let j be q(14). What is j rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1349, -20, 2 in decreasing order.\nAnswer: 2, -20, -1349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(27\/(-18)*(-3)\/9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by -27\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 355\/34 (b) -6 (c) -0.4 (d) -3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 3\/18001 (b) -0.5 (c) 0.2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbkkkgkggggkgggbgbkb. What is prob of sequence gbg?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 1. Is 9\/6*(-40)\/h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.344 (b) 2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*c + 1848600 = 60*c + 484*c. Is 25 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)\/(sqrt(45)\/sqrt(5)) + sqrt(245) + -2)*-3)**2.\nAnswer: -288*sqrt(5) + 2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1414127 is divided by 74?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 14899403800 to the nearest one million.\nAnswer: 14899000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 1:39 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -4.5\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 + 18*h + 36. Let l be u(-12). Suppose 4*m - 2*a - l = 0, -3*a + 79 = 3*m - 4*a. What is the greatest common factor of 50 and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + -3 + (sqrt(1216) - (sqrt(1216) + -1 + sqrt(1216))) + 2 + -4*-2*(-1 + sqrt(19)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17617.964 rounded to the nearest 10?\nAnswer: -17620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -2\/5 (c) 1\/2 (d) 81.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (0 + 5 + 1) - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3830 = -4*l + 10250, -3*l - 5*t + 10568 = 0. What are the prime factors of l?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3497 and 4035.\nAnswer: 52455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*y + 36 = 148. Solve -2*v = 2*b, 2*v + 6 = 4*v - y*b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -9*y**2 + y. Let i = 9 - 8. Let q be k(i). Sort 0, 5, q in decreasing order.\nAnswer: 5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18668210 and 9350?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 19 (b) -0.2 (c) 0.5 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/8808 and -19\/52818.\nAnswer: 77536824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 30*n**2 - 60*n. Let t(z) = 1. Let u(k) = 5*k**2 - 10*k - 4. Let a(s) = 4*t(s) + u(s). Let h(i) = 25*a(i) - 4*m(i). What is b in h(b) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/6*(-2)\/(-3). Suppose -5 = 5*r - 0. Let j(a) = a - 1. Let u be j(r). Which is smaller: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 334668 and 51436?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -558 - 919 = 7*o. Let p = o + 322. Let f = -29 - -57. Calculate the remainder when p is divided by f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 5*q**2 + 3\/4*q**4 + 0*q**3 + 0 + 17*q. Differentiate c(n) with respect to n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/19)\/(26\/(-195) + (-68)\/(-60))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39327*y**2 + 6*y - 39840*y**2 + 78489*y**2 - 8*y + 2*y.\nAnswer: -678*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.9 - -11. Let f = -0.2726 - -0.0196. Let h = -1.747 + f. What is the nearest to h in 3\/7, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 3*t + 12. Suppose 2*z - 58 = 3*n + 39, -5*z + t*n + 253 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -1653?\nAnswer: -1651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 602073140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 423*(-19 - -9 - (-2314)\/234)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 456114543385 + -456113842584.079898. Let i = q + -700915.92. Let k = i + 115. What is k rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of y**4 + 4736950*y + 4205939?\nAnswer: 4*y**3 + 4736950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44286.\nAnswer: 2, 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1138 or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8116303046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -14, 58251, 142.\nAnswer: -14, 1, 142, 58251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*q - 225, -4*q + 412 - 454 = -b. What is the highest common divisor of b and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(539) - sqrt(88)\/(1*sqrt(8)))**2 - sqrt(55)\/sqrt(5)*5*2.\nAnswer: 2*sqrt(11) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p + 12*p - 7*p)*(29 - 89*p**2 - 28 + 33*p**2).\nAnswer: 168*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 1, 3\/32?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + -28 + 18 + (9 - (2 + -5))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*s**4 - 809*s + 1617*s - 1 + 2*s**2 - 806*s - 3*s**3 + 6*s**2 as b*s**3 + c*s + u*s**4 + t + j*s**2 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 91999995\/(-40) + (-1)\/8. Round n to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 537 - 534. Suppose 34*j - 30*j = 4*k + 2976, 0 = -4*j + s*k + 2976. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/7))**49)**(-17)*((m\/(m*m**(-1\/4)\/m*m))**22)**42 assuming m is positive.\nAnswer: m**469","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -164799864 divided by 6866661\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833727591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*p = -38*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -17 + (15 - 3) + (-6 - -91)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (42\/35)\/(6\/(-1660)). Let r = v + 5646\/17. Which is the biggest value? (a) -1 (b) 2\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7347 + -7347. Let b(j) = -2*j + 7. Let h be b(-7). Solve -h*g + 17*g = i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -4.83. Let j = -0.47 + r. Which is the second biggest value? (a) j (b) -3\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2 + k**2 - 866*k + 843*k + 0 - 1. Does 69 divide w(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/75180 and 31\/118140?\nAnswer: 826980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-48))\/(3\/((-6)\/((-48)\/20))).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 24 = -0*n. Let j = -840 + 1432. Suppose -n*w + 188 = -j. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * 23.\nAnswer: 1.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmbttbmt. Give prob of picking 1 t and 1 b.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2. Let g(x) = -x**3 + 2*x**2 + 3*x + 3. Let z be g(3). Let k(f) = -f - 2*f - 3*f**2 + z*f. What is k(d(h))?\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*((-3)\/6 - -1). Let s(f) = -13*f - 3. Let h be s(o). Is 14 a factor of ((-15)\/6)\/(3\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-354)\/18 - (-4)\/6. Is 2 - (g\/1 + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 + 3*s**2 + 2*s + 2*s**3 - 5*s**3 - s**3. Let q be t(-3). Suppose 4*i - 41 - q = 0. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*c + 6*d - 16, 5*c + 2*d = 18. Sort -5, -1, 0, c.\nAnswer: -5, -1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 59573513\/5 and 11914704 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.92319 millennia to decades.\nAnswer: 2392.319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13135.\nAnswer: 5, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 6 + 4 + 9*y**2 in the form q*y**2 + j*y + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -863 divided by 30.\nAnswer: -863\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 4*o)*(-o - 2*o + 4*o) + (2 + 4 - 1)*(-2*o**2 + 2*o**2 + 4*o**2).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -172.3565629 - 40.6428523. Let g = z - -213. Round g to 5 decimal places.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 + 4*a - 5. Let b(l) = -3*l**2 - 4*l + 4. What is -6*b(f) - 5*x(f)?\nAnswer: 8*f**2 + 4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 12771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 55099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 12*r - 11. Let n be p(-11). Suppose n = -0*f - 4*f + 8. Suppose 5*b - 123 = -2*t, 4*t = -0*b - f*b + 46. Is 25 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-500)\/5)\/5)\/(-2). Suppose 0 = -p - p + x. Suppose p + 15 = h. What is the lowest common multiple of 6 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 173, 378, 573, 758, 933, 1098, 1253?\nAnswer: 1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 65. Let i(o) = 2*o**2. Give i(b(h)).\nAnswer: 2*h**2 - 260*h + 8450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 33*f**2 + 42*f - 385. Calculate b(32).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 150*r - 3089. Let v be b(21). Solve -v*f - 20 = -66*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3695513?\nAnswer: 3695513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 7764335?\nAnswer: 7764334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**3 + y**2 + 6*y + 14. Is n(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 692.6110123 to the nearest 10.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 d when four letters picked without replacement from {d: 17, v: 2}.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or 1745?\nAnswer: 1745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiii. Give prob of sequence ii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 43497761 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(833) + (sqrt(833)*1 - sqrt(833)))**2*-6 + (-5*(0 + sqrt(833)) + -2)**2)*-4.\nAnswer: -3348 - 560*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 67, 4, -0.868, -5, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - 0) + (-10 + 15 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*b - 238 = 0, 0 = 3*w + b - 5*b + 329. Let j = 166 + w. Calculate the greatest common factor of 34 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1788, 1787, 1784, 1779, 1772, 1763, 1752?\n\"Answer: -o**2 + 2*o + 1787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 26. Which is the second smallest value? (a) -1\/8 (b) -0.02 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1449871.\nAnswer: 19, 137, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f60 - -80?\nAnswer: -1ee0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -182 + 234. Let z = 50 - s. Which is the second biggest value? (a) -0.14 (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 11*p**3 + 2*p**2 - 4*p + 3. Suppose -5*u - 17 = 4*n + 14, 2*u = 4*n + 38. Let v = n - -11. Is l(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 1413*c - 111661. What is m(79)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*r - 12 + 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2135, -2133, -2131, -2129?\nAnswer: -2127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 224 + -225 + (9 - 2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20429.12571 + 20429. What is n rounded to 3 dps?\nAnswer: -0.126","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 104*y**2 + y - 1. Let j be q(-1). Suppose 105 = 2*b + 3*l - 0*l, -b - 5*l = -56. Let 8*g**3 - 51*g + j*g - b*g - 4*g**4 = 0. What is g?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35709133 to the nearest 100000.\nAnswer: 35700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1448402830 and -868?\nAnswer: 1448403698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 6*o. Let p(b) be the second derivative of -2*b + 0*b**2 - 25 - 5\/3*b**3. What is p(u(a))?\nAnswer: -60*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*w - 90*w + 11*w + 32*w - 178972*w**2 + 26*w + 178963*w**2.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -52940 divided by -3\nAnswer: 52940\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3 = 9. Suppose -r*j - 276 = -7*j. List the prime factors of j.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 116795852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 338*r**4 + 1787662*r - 1787662*r - 514*r**2 - 2*r**3 wrt r.\nAnswer: 8112*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20.89 or -1?\nAnswer: 20.89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 461, 462, 463, 464, 465, 466?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*((-35)\/49 + (-4)\/14). Let f(m) = 3*m**2 - 6*m - 6. Let q(y) = -4*y**2 + 7*y + 7. Calculate d*f(r) + 4*q(r).\nAnswer: -r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/21 and -38\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - -510)\/5*(1 - 0). Let m = -107 + s. Let y(c) = -2*c**3 - 5*c**2 + 14*c + 31. What is the units digit of y(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333893 is divided by 333831?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 15*h + 17. Let z be i(14). Solve -z*d = 7 - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13 + (-12)\/(-3)*-1. Calculate the remainder when 1141\/21 - 3\/s is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -19*i**3 + i**2 - i - 1. Suppose -5*g + x + 6 = -0, g - 3*x - 4 = 0. Let z be d(g). Let y be (z\/210)\/(1\/6)*-7. Solve -v - v = -y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17366844 divided by -298?\nAnswer: -58278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/2, 76, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/7, -5, 2, 3\/10, 1\/8, 0.1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -49, 38, 181, 392?\nAnswer: 683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1 (b) -3 (c) -0.5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 41416638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**2\/2 + 3*l - 424. What is y(12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 31*v - 215. Let s be m(7). Let u = -6.7 - -7. Which is the third smallest value? (a) s (b) 0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -675708 in 1\/6, 2, 4, -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 380038, 760120, 1140202, 1520284, 1900366, 2280448?\nAnswer: 2660530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdqc when four letters picked without replacement from {y: 6, c: 1, r: 2, d: 5, q: 1}.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vgvg. What is prob of sequence vgg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32603?\nAnswer: 32603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, l: 1, d: 1, o: 2, m: 1, g: 1}. Give prob of sequence xgl.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**2 - 3*a - 7. Let r(b) = -b**2 - b - 2. Determine 2*i(x) - 7*r(x).\nAnswer: x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 31.3215 millilitres?\nAnswer: 0.0313215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*x + 35 = 0, -4*g = -x - 0*x + 41. Let k be ((-11)\/(-33))\/(1\/g). What is the units digit of (0 - 8)\/(k\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 14 = 56. Suppose w*v - 2*v - 60 = 0. What is the remainder when 33 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 8*a - 27*a**2 + 5 + 46*a**2 - 24*a**2. What is the units digit of r(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-3)*11\/(231\/(-35))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 0. Suppose -l*s - w + 19 = 0, 2 = -3*w - 1. Let m be 7 + s*1\/(-2). Put 4, 1, m in increasing order.\nAnswer: 1, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znun when four letters picked without replacement from {z: 1, o: 4, u: 2, n: 3, i: 4}?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 108*j**2 - 271*j + 5673. Determine z(110).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -117 + 122. Solve -2*q - 1 = -d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31131 + 0?\nAnswer: -31131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1500 + 1466. What is the nearest to -13 in n, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(65)*1)\/sqrt(5)*-5.\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 0*t**3 - 4*t - 2*t**2 - 1\/10*t**5 + 0 + 0*t**4. What is the first derivative of z(i) wrt i?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21.36 and 0.1.\nAnswer: 2.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbdl when four letters picked without replacement from lvbldd.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1200949 + 35*u + 40*u - 74*u - 339992.\nAnswer: u - 1540941","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3902 divided by -46477\nAnswer: -3902\/46477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**3 + 439544186 + 10*n**3 - 439544186.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 137.0065 at most as big as 388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 11:36 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2 - 1923*g = 0. Calculate g.\nAnswer: -1923, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.23279952 * 16\nAnswer: 3.72479232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.80355 - 0.19645. Which is the nearest to 1\/11? (a) -7\/10 (b) 0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 3\/7, -0.3, 10, -26?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.162, -1\/11, -2595\/2.\nAnswer: -2595\/2, -0.162, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.3106, 3\/1493 in increasing order.\nAnswer: 3\/1493, 0.3106, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8633.73 - -8594.1909. Let m = 39.6 + z. What is m rounded to 3 decimal places?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**5\/20 + n**4\/4 + 5*n**3\/6 - 2*n. Let l be y(4). Differentiate l + 0*k - 2 - 2*k with respect to k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4023 and 2880617?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 48*z - 183. What is the remainder when s(5) is divided by 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2767*u - 1614 wrt u?\nAnswer: -2767","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1544)\/(-104) + 2\/13. Let u be (-11)\/(-3) - 10\/j. Which is the second smallest value? (a) -3 (b) -0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327316 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24.4 + -25. Let y = u - -0.1. Which is the closest to 2? (a) y (b) 0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 29*f - 43*f + 160 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2))**(13\/3)\/(r**3\/(r*r**(-2\/11)*r*r))*(r**0\/r)\/(r\/r**(-6))*(r**0)**(-1\/43) assuming r is positive.\nAnswer: r**(-683\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 0. Let u = 4 - i. Suppose 2*j - 2*v = -2 + 6, -3*j = -v - 8. Solve j*y + 0 = -u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11441 and 1656926?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12330201 (base 4) to base 16\nAnswer: 6f21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 2:41 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/3)*t*t**(2\/3)\/t)\/((t\/(t*t*t**(-3)))\/((t\/t**(-1\/4))\/t)))**49 assuming t is positive.\nAnswer: t**(343\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkkzkkzkzzkkkzzsz. Give prob of sequence kks.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 688112 and 36076?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 1.28?\nAnswer: 0.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 30, 49, 70, 93, 118, 145?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 8. Suppose 5*l + 2 = z. Suppose -3*v + 5*v + 4 = 0. Put 4, l, v in descending order.\nAnswer: 4, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 6*s = 36. Suppose 4*j + s = r, j - 1 - 5 = -2*r. Solve 0 = -2*a + r*a + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3998*w + 6. Let s be t(-3). Round s to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17163 (base 8) in base 10?\nAnswer: 7795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*((-2*sqrt(147))**2 + sqrt(147) + sqrt(147)) + -2 + sqrt(147)*3)*-6*6.\nAnswer: -21240 + 252*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -6 (b) 0.24 (c) -1 (d) -5 (e) -14 (f) 0.081 (g) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s + 11. Let w(o) = 6*o - 33. Let p(m) = -8*b(m) - 3*w(m). Let l be p(0). What is the highest common divisor of l and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1094 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 4*u - 1321. What is the least common multiple of 105 and v(44)?\nAnswer: 11865","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0.50511, 3, -1\/4 in descending order.\nAnswer: 11, 3, 0.50511, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9647 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/1 + (1 - -2). Let v(r) = r. Let l(j) = -j. Let c(x) = 7*l(x) + 6*v(x). Let h(g) = g**2 - 10*g + 1. Let t(q) = a*h(q) - 4*c(q). What is t(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1568 in 3, 3\/4, 2, -0.3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 520 divide 66099800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17644*a**5 - 2*a**3 - 84233*a wrt a.\nAnswer: -352880*a**3 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.547, -3\/316, -3\/2 in decreasing order.\nAnswer: 0.547, -3\/316, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/3 + 658*y**3\/3 + 3326*y**2\/3 + 4670*y\/3 + 668 = 0. Calculate y.\nAnswer: -3, -1, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3010*t - 387. Let c(g) = -31*g + 4. Let p(j) = -387*c(j) - 4*y(j). Let b(l) = 42*l**2. What is b(p(x))?\nAnswer: 77658*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1405707 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, i: 1, a: 7, z: 3, r: 3}. What is prob of sequence itr?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 4*x**2 - 3220832*x - 6441680 = 0.\nAnswer: -2, 805210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011111 (base 3) in base 16?\nAnswer: -352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 8*f. Let k(l) = 258*l**2 - 6*l + 10. Determine o(k(y)).\nAnswer: 2064*y**2 - 48*y + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91759280 by 178520.\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008\/65 at least as big as 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wom when three letters picked without replacement from dimodimmbioimww?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-188)\/60 - 2\/(-15). Is 12 a factor of 65 + p + -3 + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*g - 995 + 341 = 750 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20669055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 743.9616 nanometers to kilometers.\nAnswer: 0.0000000007439616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -7*b + 2. Let v be g(1). Let o(h) = h - 4. Let t be o(10). Suppose -t = f + f. Sort f, 0, v in descending order.\nAnswer: 0, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37799555 + 18899778 + 18899777 - 10*g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -376, -391, -402, -409, -412, -411?\n\"Answer: 2*j**2 - 21*j - 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 205 - 109. Suppose -o + 0 + 59 = 0. Let v = p - o. Calculate the remainder when v is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*h + 303*a*w**3 - 2*h*w - 4634*w**3 with respect to a.\nAnswer: -2*h + 303*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, p: 5, n: 2, g: 2, r: 7}. What is prob of picking 1 r and 1 n?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 996038?\nAnswer: 2, 23, 59, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5231, 12364, 21395, 32324, 45151, 59876?\nAnswer: 76499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213608, -213554, -213406, -213116, -212636, -211918?\nAnswer: -210914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/15, -87.\nAnswer: -87, 2\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -288892 (b) 1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*k + 5*z + 5, -z = 5*k + 34. Let g(i) = i - 1. Let v(u) = -7*u. Let d(r) = -5*g(r) + v(r). Is d(k) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -242336 + -3?\nAnswer: -242342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 4:46 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*h - 5549 = 0, 3*l - 2*h - 2216 = l. Let k = 526 + l. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -50\/33769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 71*j - 3. Let f be k(3). Suppose -z = -154 - f. Suppose 6*y - z = 2*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 2 + 1)*(-12*n + 28 - 39 - 14).\nAnswer: 96*n + 200","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6.617504 and 90?\nAnswer: 83.382496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*g + 4729*g + 3713*g + 534*g - 25*g to the form s*g + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 16) to base 12.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -q - 31, 8882*i = 8884*i + q + 51 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q - 45. Let a be k(16). Let j = a - -140. Let w(g) = 4*g**2 - g - 1. Let p be w(j). Solve 0 = 5*v - p + 29 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -f - 4*f + g, f + 4*g = -8. Suppose 2*p = -f + 30. Let t be 1\/(-2)*(-20)\/p. Which is bigger: t or -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*s + 16, -4*s - 5 = -7*s - 5*j. What is the least common multiple of 2 - s - 13\/(-39)*93 and 9?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (97 - 100) + -1 + 9 + (12 - 4) + -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*l + 22 = -33, w - 41 = -5*l. Calculate the remainder when w is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252476873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1\/5, -2.7 in decreasing order.\nAnswer: 1\/5, -2.7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 9. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1035700849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 77117003 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from lzzzznzzfnnnznfnf.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 9*m - 12 = -8*m + 4*y, 4*y = -20 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 6 = -u. Let k be 0*((-48)\/(-32) - (1 + 0)). Suppose -a - 3*b + 1 = 3*a, 3*a + 3*b = k. Sort 5, a, u in ascending order.\nAnswer: a, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 + 2*m**2 + 3*m**2 + (13 - 13 - 30*m)*(-4*m + 2*m + 0*m) to the form s*m**2 + w*m + q and give s.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2784 and 56666.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-198)\/(-54) + (-176)\/48 + 4 + 0. Let u be 8 - -2 - 0\/2. Solve 2*r - 17 = 7*r + h, -u = w*r + 2*h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + 3 + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -12) + -2 + -1. Let v(l) = 7*l**2 + 5. Let o(d) = -8*d**2 - 6. What is t*o(p) + 6*v(p)?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 v when four letters picked without replacement from {j: 7, v: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -3. Let s = 2 - f. Let m = -0.3 - -0.2. Which is the nearest to s? (a) -0.2 (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 97*l**3 - 742*l**2 + 1193*l - 548.\nAnswer: (l - 1)**2*(97*l - 548)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 51625 (base 8) in base 12?\nAnswer: 10471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 6*r**3 + (-r + 3*r - r)*(-r**2 + 3*r**2 - 3*r**2) - 4*r**3 + 4*r**3 - r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 107570219?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/12 + (-77)\/2. Let i = -15 - r. List the prime factors of 306\/i - 1\/(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*o + o**2 + 7 - 87*o + ((54 + 32 - 26)*(-4*o + 5*o + 0*o) + 5*o - 4*o - 3*o)*(-9 + 9 - 4*o)*(2 - 4 - 4) in the form g + w*o + a*o**2 and give a.\nAnswer: 1393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 s when four letters picked without replacement from ppspsspp?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 8:24 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 32*c + 243. Suppose 4*l + 4*p = 164, -4*l + 2*p = -148 - 16. What is the remainder when l is divided by d(21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 v when two letters picked without replacement from {o: 1, b: 2, v: 1, p: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2965*l - 55. Is d(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 11*c**2 + 0*c**4 - 1\/140*c**6 + 0 + 0*c + 1\/140*c**5 + 0*c**3 + 1\/490*c**7. Factor o(u).\nAnswer: 3*u**2*(u - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z**2 - 3*z**2 - 3*z**2 + (z + 0 + 0)*(-11*z - 3*z + 0*z))*(3*z**2 - 2*z**2 - 2*z**2) to c*z + n*z**3 + l + k*z**4 + x*z**2 and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19621427*u**3 - 10269019*u**2 wrt u?\nAnswer: -117728562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-20)\/(-6) - 3)*15. Let y(q) = q**3 - 4*q**2 - 5*q + 5. Let f be y(o). Let g = 10 + f. What is the greatest common divisor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000824543 to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5 - 13 = 0. Suppose 0 = u + 4*u. Suppose -n*i + 4*i - 28 = u. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7404711?\nAnswer: 3, 89, 27733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s - 10 = -16*s. Suppose -3*l - 2*k = -11, -k = s*l - 0*k - 16. Suppose o + 6 = l*o. Solve -o*g + 20 = -8*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (-2 - -21 - 39)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37343494 = -7*m - 18*m - 7862219. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 4)*(-d - d - 3*d) + 24 + 97*d - 23 + 86*d.\nAnswer: 168*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 33 = n, -5*w = -3*w - n - 23. Let o = w + -15. Let q = 2 - o. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3679*s - 2214*s = 10017*s - 1161430 for s.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 14*k - 15*k + 48 = 0, -2*t + 32 = 2*k. What is the greatest common factor of 128 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**5*f**3 - 26*b**4*f**3 + 11*b*f**3 - 2*b*f**2 - f**3 wrt b.\nAnswer: 80*b**3*f**3 - 312*b**2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -26*h**2. Let v(i) be the third derivative of -i**4\/24 - 46*i**2. Give v(l(a)).\nAnswer: 26*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 20. Suppose -q*p + 26 = -94. Does 20 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0035969535 rounded to 4 decimal places?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((112\/20)\/14)\/(15\/(-8625)*10).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53\/40 + -9\/8. Let m = -0.08598 - -5.08598. Sort m, -1\/2, 3, r in ascending order.\nAnswer: -1\/2, r, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.07 + -0.9. Let m = 0.47 - j. Let r = -0.3 - -0.3. What is the second smallest value in m, r, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 330189*w**6 - 19*w**2 - 5950?\nAnswer: 39622680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(2 - 5 + 0)*(-19 + 19 - 31*s).\nAnswer: -186*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqwxssodsqxxwdsssq. What is prob of sequence do?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2904173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - m - 1. Let l(z) = -7*z**2 - 5*z - 5. Let f(t) = -l(t) + 4*x(t). Calculate f(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -0.3, 3\/5, 297, 15?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 3375?\nAnswer: -3377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/13)\/(z*z**(-2)*z*z))\/(((z\/(z*(z\/z**(-6))\/z))\/z)\/z*z**(6\/11)) assuming z is positive.\nAnswer: z**(901\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3082294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -813.04 (c) -245\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 7*v - 3. Suppose 7 = v*a - 74. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 48 (b) -7 (c) -23 (d) 0.5 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 36*z**2 + 10*z + 6. Let q(p) = 7*p**2 + 2*p + 1. Let n(r) = -2*l(r) + 11*q(r). Let m be n(1). Solve 2*b = -b + m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q\/((q*q\/q**(11\/3))\/q*q)*q*q))**(-6\/19))**(-8\/11) assuming q is positive.\nAnswer: q**(-128\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 665, 0.2, -17\/10, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2.019 - -0.12\nAnswer: -1.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 2*a = -20, 2*h - a = -5. Suppose 8*r - 11*r + 168 = h. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29343, -58686, -88029, -117372?\nAnswer: -146715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) 3\/2 (c) -1 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7052786317 to the nearest integer?\nAnswer: 1918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - a - 1. Let p(u) = -u - 1 + 1469*u**2 - 1471*u**2 + 0. Let y(t) = 3*f(t) - 3*p(t). Let m(j) = -3*j**2. What is y(m(x))?\nAnswer: 27*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308 + 407 = -143*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 83*n**2 - 2*n - 9. Let x(u) = -u**2 + u + 2. Give -c(b) - 2*x(b).\nAnswer: -81*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.14 (b) 0.3 (c) -0.16 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1400 (base 6) to base 7.\nAnswer: -1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*m - 17*m + 875336 = 70*m. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1929.788 and 18247.05.\nAnswer: 16317.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooosoooos. Give prob of sequence ss.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 + 12*b - 4. Let g be q(-7). Let p(o) = g*o - 37*o + 19*o + o**2 - 29 + 14*o. Let m be p(-9). Let r(u) = u**2 + u + 1. Calculate r(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**3 - 4*d + 2*d**3 + 0*d**4 + d**4 to the form l*d + q*d**3 + r*d**2 + t + m*d**4 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1391*o**6 + 3253*o**2?\nAnswer: 166920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 1.3. Let r = -1870 + 1872. Sort 5, 0.6, r, m.\nAnswer: m, 0.6, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1587411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i = -2*h + 5*i - 356 + 365, 21*h = -20*i + 7*i - 102 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4990 or -1560?\nAnswer: -4990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 71 = -o - 3*o, 3*o - 28 = q. Let i = -24 - q. Suppose -r = -4 - i. Solve -r = 2*f + 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10999 - -11001. Solve 12 = -7*l + 5*l - q, -m*l - 3*q = 16 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2090*d - 146329. Calculate j(70).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 - 57*r**3 + 49*r**3 - r**2 - 3*r**2.\nAnswer: -8*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p - 2*p**4 + 5 + 72698*p**3 - 72700*p**3 + 7*p**2 + 0*p**4 + p**4 to f*p**4 + q*p + a*p**3 + g*p**2 + r and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*l + 0 - 64*l + 7 + 2 - 1.\nAnswer: -44*l + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129, 257, 391, 537, 701, 889?\nAnswer: 1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*j**4 - 42*j**4 + 82*j**4 - 4*j**2 + 2*j**3 - 2 to the form m*j + c*j**2 + r*j**3 + k + f*j**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -1. Let x(r) = r**3 + 2*r**2 - 21*r + 30. Let f be x(2). Solve f*v + 3*a + z = 0, -2*v = -2*a - 0 - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24201*j - 20128 wrt j?\nAnswer: -24201","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/1989 - -5965\/3978. Which is the closest to j? (a) 1 (b) -3\/8 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 239 and 30353.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -854*a**3*b*f**2*x - 23*a**3*f*x + 2*a**2*b*f**2*x + 2*b*f*x - 4*f*x + 3*f wrt f.\nAnswer: -1708*a**3*b*x + 4*a**2*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5321158, 5321148, 5321138, 5321128, 5321118?\nAnswer: 5321108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5025 = 5682*a - 5481*a for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-10)\/(-4)*(2*-22)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001010101101111 - -10110?\nAnswer: 10001010110000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**4\/5 - 228693*a**3\/5 + 1372086*a**2\/5 - 2744124*a\/5 + 365880 = 0.\nAnswer: 2, 76225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*c + 55 = -83*c + 3*b, -4*c = b + 27 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -6, 0 = 2*m + 2*g - 6*g + 12. Sort 1, 4, m in decreasing order.\nAnswer: 4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2066, 4125, 6184, 8243, 10302?\n\"Answer: 2059*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.022 (b) -4.14 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5195 divided by -2\nAnswer: 5195\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2852503?\nAnswer: 2852503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20946480 divided by -120\nAnswer: -174554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 458938760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -194101\/27 + 7188. Let m = 196\/65 - -3043\/780. What is the common denominator of m and l?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0195 * 5\nAnswer: 0.0975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10320 divided by -688.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u + 9. Suppose -2*x - 5*q - 11 = 0, 4*x - 2 - 12 = 2*q. Let j = -3 + 9. What is the remainder when h(x) is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*b - 26208 = -8*z, -3*b = -2*z + 13104. What are the prime factors of z?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2486\/1371 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 20476 divided by -5119\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 81563600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*q - 5 + 696*q + 5 + 7*q to the form w + d*q and give d.\nAnswer: 728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 22392\/4 - (-22 - -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6\/13))**47*(a**0)**(9\/7) assuming a is positive.\nAnswer: a**(-282\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 11766 and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 4*k**2 + 2*k + 5. Let l = -125 + 183. Suppose -5*y - 211 = -4*c, 3*c + l = 4*c - 3*y. What is the remainder when c is divided by r(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60565746+6\nAnswer: -60565740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 55\/45 - (-1001)\/9. Round q to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 62. Let z = -55 + h. Is -1\/18 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179260 divided by 2.\nAnswer: 89630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 8 - 8)*(-2 - n**2 + 2).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + sqrt(931) + -1 + sqrt(931) + (-2*sqrt(931) + sqrt(931))**2*1) + 5.\nAnswer: -3727 - 56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*g + 1643 - 842 = 847 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -1224*a**2. Let g(i) = 25*i. Determine g(d(f)).\nAnswer: -30600*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71416350 (base 8) to base 11.\nAnswer: -857037a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 11175. Let t(p) = 52*p**2 + 10*p. Let x(a) = 10*a**2 + 2*a. Let u(d) = t(d) - 5*x(d). Calculate z(u(c)).\nAnswer: 4*c**4 - 11175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, c: 6, o: 2}. Give prob of sequence ccc.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1313500 - -1?\nAnswer: 1313501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.62945 rounded to two dps?\nAnswer: 1.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) 4 (c) -2\/3 (d) -3\/175 (e) 2\/9 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**3 - 94*k**2 - 6*k**3 - 431*k**2 = 0.\nAnswer: -105, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8 + 217\/28 - (-103914)\/40. Let a = n + -2585. Calculate the common denominator of a and 4\/81.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -3558*(-8)\/(-20)*-5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c + 10. Let o(w) = 4*w + 11. Determine -4*o(r) + 5*x(r).\nAnswer: -r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2a637 (base 12) to base 10\nAnswer: -59659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 1568*z**2 + 159744*z - 1179648.\nAnswer: 4*(z - 192)**2*(z - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45608 + -7389. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**2 - 16*n - 8. What is k(-8)?\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 36*n**2 + 4*n. Let f(s) = -3929*s**2. Give l(f(y)).\nAnswer: 555733476*y**4 - 15716*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42551 (base 6) to base 5.\nAnswer: 141302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 8 = -3*a, -2*r - 8 = -0*r + 2*a. Let s(u) = -u. Let w be s(r). Let o(l) = 2*l - 2. What is o(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/85731290 and 17\/912035?\nAnswer: 85731290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) 1\/4 (c) -0.83 (d) 2\/9 (e) 2 (f) -1\/4 (g) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9749.024 kilograms?\nAnswer: 9.749024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -9*r - 10. Let z be 2 + 0 + (-15 - -15). Suppose -c - 3*c + 2 = -5*h, 0 = 2*c - 3*h - z. Calculate the least common multiple of a(c) and 46.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*-1*(-4)\/36\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 5*d + 21 + 8, -4*s = 5*d + 9 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2317*b**2 - 19255243*b + 19255243*b.\nAnswer: 2317*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 916 - 474 + 544 = -218*b - 758 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000838 to seven dps.\nAnswer: 0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 954 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((7 - -5) + -6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 484, 467, 450, 433, 416, 399?\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/(-2) + 2)*-8. Let f be (8\/(-20))\/(c\/10). Are -1 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30.1 - -30. Let p = 3 - 3.1. Which is the closest to p? (a) 1 (b) r (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (4 + -4 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 3*c - 6 - 23*c**2 + 4 + 25*c**2 to the form n + g*c**2 + d*c and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-4)\/d**4)**(4\/21))**(-12\/17))**(-3\/5) assuming d is positive.\nAnswer: d**(-384\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqcqk. What is prob of sequence cqqq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10)\/((-1)\/(-2)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 3*h**2\/2 + 4*h - 2. Let s = -158 + 162. Let m(r) = -s*r + 7 + 3*r - 5 - 4. Give 9*m(c) + 4*u(c).\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 100, 90, 80, 70, 60?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 406899234?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 66517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8122*x + 370945 + 189473 for x.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*v - 7*v + 6*v)*(-2 + 3 + 0) + (2 + 2 - 3)*(-v - 2*v + v) - 7*v + 2*v + 3*v.\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 1)*(-2*z - 2*z + 3*z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 j when three letters picked without replacement from ikkjijirjiiij?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 49 - 68. Suppose 0 = 5*k - 2*k - 96. Let o = k - 19. What is the greatest common factor of o and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-61)\/(-3) + (-8)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -284222, -283871, -283520?\nAnswer: -283169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 3*q. Calculate i(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 39 = -2. Suppose -2*z + 5*k = -3, 4*z - k - a = z. What is the remainder when z is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(100)*-2 + sqrt(100))*2 - 2*(-1 + 1*sqrt(363)).\nAnswer: -112*sqrt(3)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 68*f**2. Let c(t) = -4 + 26349*t**2 + 4 - 26334*t**2. Give u(c(x)).\nAnswer: 15300*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/11 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j + 0*v = -35*j + 3*v + 75, v - 5 = 6*v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 48 = -0*r. Let l be (-72)\/r - (-2)\/4. Suppose 0 = -l*h + 6*n - 2*n + 110, -4*n = 4*h - 88. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.4 + -5.4. Sort n, 2\/3, 12 in decreasing order.\nAnswer: 12, 2\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*i - i + 56. Let m(o) = o**2 - 8*o + 2. Let p(y) = 9*y - 2. Let k(q) = 7*m(q) + 6*p(q). List the prime factors of k(i).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - g = -192. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20395.69841 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(210\/(-24)))\/(2\/1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 23*k + 2. Calculate x(5).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4684 to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/49 + (-31)\/((-2387)\/5280). Solve 59*q = o*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 36. Suppose b + 3 - 13 = x. Let h(q) = b*q**2 - 10*q**2 - 6*q**2 + 10*q - 10. Let f(z) = -2*z**2 + 3*z - 3. What is -20*f(o) + 6*h(o)?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10210 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2\/42)\/(753\/(-14056))\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3005 + -1924. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, h: 4}. Give prob of sequence hh.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -351 - -492. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 4*q = 7, -24*q - 2 = -3*p - 18*q + 19 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24853, 49434, 74015, 98596?\nAnswer: 123177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1012?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/3950694 and 119\/1584.\nAnswer: 31605552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b = 8. Round b to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 13*a - 5. Calculate g(5).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bebbbebbb. What is prob of picking 2 e and 2 b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1628*w**2 - 967*w**2 + 73144*w**3 - 73148*w**3 to the form a*w + i*w**2 + t*w**3 + l and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -431*k + 28. Is i(-9) 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 {i: 5, e: 8, d: 2}. Give prob of sequence eii.\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1936*q = -1909*q - 432 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 286, 11 in decreasing order.\nAnswer: 286, 11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22937060, -0.2, 3 in increasing order.\nAnswer: -22937060, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9551, 2\/3, -3, 3, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*x - 30 + 4, -3*x = -15. Let 2*n**j + 4*n - 6*n**2 + 303*n**3 - 303*n**3 = 0. Calculate n.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 50, -1, 7 in decreasing order.\nAnswer: 50, 7, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {y: 1, r: 13, u: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.00503086514 + -1377\nAnswer: -1376.99496913486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 4.03. Let z = h + -5.83. Which is the closest to 3\/5? (a) -2\/5 (b) z (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t = x - 505, 4*x - 242 = -2*t. What is the third derivative of t - 127 + 0*i**2 + 6*i**3 - 2*i**2 wrt i?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o. Let p be 2\/3 - 88\/(-12). Let m(n) = n**3 - 7*n**2 - 7*n + 1. Let y be m(p). Let b(i) = y*i - 6*i - i. Give h(b(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005014 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 2435, 9515, 23635, 47141?\nAnswer: 82379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16026 divided by 5342?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, w: 2, k: 1, q: 1, g: 1}. What is prob of sequence cq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.1 + 4.1. Let n be (-34)\/8 - 8\/(-2). What is the second biggest value in 0.2, n, 3, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -159378, -0.2 in decreasing order.\nAnswer: 0.4, -0.2, -159378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1325934?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*p**2 - 34*p + 4.\nAnswer: 2*(p - 1)*(15*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1059.\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 14, z: 5}. What is prob of picking 1 z and 3 w?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 12.5. Let z = 0.017 - 0.197. Let m = z + 0.1. Put m, a, 0.2, -0.1 in descending order.\nAnswer: a, 0.2, m, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1932 (base 11) in base 16?\nAnswer: -997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -57, 86, -623 in descending order.\nAnswer: 86, 4, -57, -623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 59 = -4*c, -8*s + 2*s + 96 = 11*c - 105 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 11:02 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 = j - 58. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 1131*m - 14513. Calculate f(-13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4116 is divided by 1980.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02115 (b) 0 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -259\/340 - -1\/85. What is the closest to -1\/3 in i, -1, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1.2, 6, 11, -0.4 in descending order.\nAnswer: 11, 6, 2, 1.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 29.5. Let n = -1\/12 - -5\/12. Sort o, n, -2\/3 in ascending order.\nAnswer: -2\/3, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40458295 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - 1 - (-5 - (-210)\/5). Let h = -24 - z. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*i + 208, -5*i + 3*a - 197 = -717. Calculate the remainder when 816 is divided by i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**4\/12 + z**3\/6 - 2*z. Let q(s) = 6*s**2 + 26*s. Let h(w) = q(w) - 4*y(w). What is the second derivative of h(f) wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -10*f - 130. Let z be q(-15). What is the highest common factor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6425832114 rounded to 4 decimal places?\nAnswer: -0.6426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*v + 6*v - 6*v to the form z*v + r and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 40714.38 days?\nAnswer: 58628707.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0967 - 0.4033. Which is the nearest to 2\/3? (a) 5 (b) -3.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 4*x**2 + 4. Let t be d(4). Suppose -2*p - 2*p = -2*n + 54, -2*n + 14 = t*p. Suppose -y + 0*y - 5*i - n = 0, -y = 3*i + 9. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 3. Let m(p) be the second derivative of -1\/6*p**3 + 5 + 2*p**2 + 10*p. Determine -4*m(z) + 6*u(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1446 and -133\/16176.\nAnswer: 3898416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52458 divided by -298.\nAnswer: 26229\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65027 is divided by 287?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 371503043 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 8 + 9 - 7 + 3*v**2 + 7. What are the prime factors of z(-4)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016846 rounded to 5 dps?\nAnswer: 0.00168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-16 - -8) - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3 = -12. Suppose 6 = o*g - 9. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3\/7 (b) -0.4 (c) 11 (d) 1\/11 (e) 0 (f) -11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-17))**30)**48 assuming z is positive.\nAnswer: z**(-24480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 832981*-0.131.\nAnswer: -109120.511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6630\/234 + 6\/9. Solve -i + s = 36 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -17, -23, -29, -35, -41?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100110011000 - -100100110010?\nAnswer: -10000001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7994586 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4293 + -4293. Let n(h) be the second derivative of 1\/5*h**3 + 0 - 2\/5*h**2 + z*h**4 - 19*h - 1\/50*h**5. Suppose n(v) = 0. What is v?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 9*u**2 + 575*u - 559. Does 21 divide v(-77)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/3 - 4 - (-1300)\/12. Suppose 3*i + 3 = 9. Suppose i*c - s = 85. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*c**3 - 4*c - c + 2 + c + 6*c - c**2 to the form o*c**2 + z*c**3 + y + k*c and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 6*b**4 - 12*b**2 - b**5 + 0 - 14\/3*b**3 + 3*b. Let r(o) = 0. Calculate o.\nAnswer: -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 3*h**5\/20 - h**4\/2 + 2*h. Determine v so that x(v) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.066, 2, 1\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**2 + 28521*o - 1577731. Calculate m(55).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2. Let q(p) = 0 - 15*p**2 + 0 + 0. What is q(l(z))?\nAnswer: -15*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2900304680?\nAnswer: 2, 5, 7, 13, 401, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2967, -5993, -9081, -12231?\n\"Answer: -31*n**2 - 2933*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27301028*x + 27301028*x - 3*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 52*s**2 - 7*s - 5. Let l(g) = 178*g + 5. What is l(h(t))?\nAnswer: 9256*t**2 - 1246*t - 885","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 5*l + 2882, 3*i + 2846 = 12*l - 8*l. Let h = i - -3107. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) 0.2 (c) 2\/7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**1*n*n)\/n)**(-25)*n**(1\/5)*(n**(-1\/6)\/n)\/n assuming n is positive.\nAnswer: n**(-2309\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 1 = -3*g - i, -5*g + 30 = -i. Which is smaller: g or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 1. Let v(d) = -14*d - 14. Suppose -5*x + 6 = -a + 13, 0 = 5*a + 3*x - 35. Suppose -3*k - 7 = 8, 2*l - a = k. Calculate l*v(g) + 12*c(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136270966 divided by 359554.\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3346*b**3 + 46467*b**3 + 6626*b**3)*(3 - 3 - 2) to the form d + z*b**3 + l*b**2 + x*b and give z.\nAnswer: -99494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/2 + 2281*h**2\/2 + 1108687*h\/2 - 226606617\/2.\nAnswer: (h - 153)*(h + 1217)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02057 rounded to three dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113386 - 113380. Factor 14 - f*j**2 - 2\/3*j**3 - 22\/3*j.\nAnswer: -2*(j - 1)*(j + 3)*(j + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -351*i**3 - 367 wrt i?\nAnswer: -1053*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 122111 + 17270 = 0. List the prime factors of r.\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*q = -225 - 2837 - 3238 + 1764 for q.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1110111111100010010011?\nAnswer: 1110111111100010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 12:41 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 269042100 and 32900.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in 17\/9, -4\/3, -5, 14\/3?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = 12*i + 7*i. Suppose 0*p + 3*f = -5*p + 162, p = -2*f + 31. What is the highest common divisor of i and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -727*o - 2526 - 2531 - 770*o + 5057.\nAnswer: -1497*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 228\/(-190) + 108\/40.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 98 - 98. Suppose j = -3*q + 3*a + 1446, 0 = 3*q - 0*q - 2*a - 1445. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*p**5 + 2957*p**2*z - 3*p*z - 9*p + 79*z + 1 wrt p.\nAnswer: -100*p**3 + 5914*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 42 - 10. What is the units digit of k\/(-56) - 100\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a + 1 = 2 + 23. Calculate the smallest common multiple of (-330)\/(-9) - 2\/3 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 - h + 39. Let d be q(0). What is the second derivative of -49*b + d*b**2 - 64*b + 81*b wrt b?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.83347 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 6, -21, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 4 = -z. Is -6\/7 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -59, -199, -467, -905, -1555, -2459, -3659?\nAnswer: -5197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 528 and 12364?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 26*n + 5. Suppose f + 12 = -i, 0 = -385*i + 380*i + 5*f + 10. Let k(t) = -105*t - 21. Determine i*k(d) - 21*q(d).\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2940, 5880, 8820, 11760, 14700, 17640?\n\"Answer: 2940*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7641803 and 4.\nAnswer: 30567212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77 + 40 - -80) + -90?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 64*n - 8*n + 82*n + (-n + 3*n - n)*(-5 - 1 + 0).\nAnswer: 132*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133647, 273071, 412507, 551961, 691439?\nAnswer: 830947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2624 = 15*t + 149*t for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 20*l - 1505. What are the prime factors of u(-83)?\nAnswer: 2, 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2*1*sqrt(320))**2 + -4)*-4 - ((2 + -1*-3*(1*sqrt(320) + sqrt(320)))**2 + 2).\nAnswer: -16650 - 192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976013364?\nAnswer: 2, 3, 41, 1983767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000023594 to seven dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*b = x + 8, 3*x = -3*b. Factor 216*q**3 - 411*q**4 + 363*q**4 - 416*q**x + 125*q**2 - 12 + 108*q.\nAnswer: -3*(q - 2)**2*(4*q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) 0.2 (b) -1\/2 (c) 4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 5:57 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1127550 is divided by 83.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 14*t**2 - 1\/6*t**3 + 0*t - 1\/120*t**5 - 2\/3*t**4 + 0. Let a(y) be the first derivative of z(y). Determine a(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274238 is divided by 3791.\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3450 + -2659. List the prime factors of x.\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-520)*-39)\/(63\/12).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00427049 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3426 + -3708. Let f(o) = 5311*o + 282. Let d(n) = 94*n + 5. Determine c*d(r) + 5*f(r).\nAnswer: 47*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2029*t**4 - 3104*t?\nAnswer: -24348*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -267\/2 - -131. Let d = 1553\/5 - 311. Which is the nearest to -1? (a) d (b) t (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 2*d - 20 = 0, -15*d = -4*t - 14*d + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 518*b**3*j**3 - 18345*b**3*j + 165367*b**2*j**5 - 1236*b**2*j**2 - 3*b**2 wrt j.\nAnswer: 3108*b**3 + 9922020*b**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25434?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 96.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o, 5*g + 5*o - 35 = 65. Let p be 41\/(-2) + 2\/(-4). Let f = -10 - p. What is the remainder when g is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -44, -55, -66, -71, -64, -39, 10, 89?\n\"Answer: k**3 - 6*k**2 - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 12*l = -4*x + 24, -2*x = -6*x + 2*l + 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -341684012 + 1.03?\nAnswer: -341684010.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(343)*2 + (1*sqrt(175) - (-4 + sqrt(7)*-2)).\nAnswer: 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/14)\/((-6)\/14)*153\/6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2775434?\nAnswer: 2, 1387717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 922512 or 922518?\nAnswer: 922512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 426411 (base 12) in base 15?\nAnswer: 15a6a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200 = 5*l + 4*a, a = 20*l - 22*l + 44 + 33 for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*q + 235 + 170 = -59*q. Let r(k) = -k**3 - 3*k**2 + 19*k - 7. Determine r(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**3 - 4*n**2 - 15*n + 12. Let j be r(-6). Suppose -j = -g + 264. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkekkekk. Give prob of sequence kee.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 58 = -5*b. Let k = -59 - -89. Suppose 17*z - k = 11*z. Is b less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 6*h**2 + 1089*h\/2 - 273\/2 = 0.\nAnswer: -91, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggyyggg. What is prob of sequence ygyg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2)**(-45)*(((i**(-6)*i)\/i*i)\/i)\/((i**(3\/5)*i)\/i) assuming i is positive.\nAnswer: i**(-483\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**4\/36 - o**3\/9 + 35*o**2\/6 + o + 254. Factor k(t).\nAnswer: -(t - 5)*(t + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41743 divided by 6019?\nAnswer: 3211\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x - 29. Calculate o(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000071818 to seven dps.\nAnswer: 0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 14 = s, -s + 6*s = 3*x + 34. Let n = s - 3. What is the highest common factor of 15 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) -1 (b) -3 (c) 2.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1396451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-58)\/(-7) - 4\/14. Suppose -2*w + 24 = -4*y, -w - 2*y + z = 3*w. Let v be 0 - (w + -2) - -2. Solve -l + 2*m - 3 = v, 2*l - 4*m + 5 = -m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -296761*b**3 - 4*b**2 - 730312*b wrt b?\nAnswer: -1780566*b - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 7:05 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 32.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2832002 is divided by 3000.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**4 + 4*h**3 + h**2 + 16*h**2 + 2*h**4 + 246*h - 250*h - 2*h**4 as x + s*h**4 + i*h**2 + n*h**3 + l*h and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 506 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.07678988 to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**4\/3 + 28*o**3 + 1073*o**2\/3 + 882*o + 552 = 0?\nAnswer: -69, -12, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2230311034 (base 5) to base 4.\nAnswer: -102310012303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110000011 + 10000010100100?\nAnswer: 1001100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*j - 3*a - 0*a, 3*j + 2*a + 18 = 0. Let i = -392 - -394. What are the prime factors of i\/j - (7 - 2331\/14)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 2:14 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + -1. Let z be 32\/6 + (-12)\/w. Solve g - z*g = -25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-24))\/((1404\/48)\/(-13)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -13*a**2 + 121*a + 450. Calculate z(-3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3396.843ug in kilograms?\nAnswer: 0.000003396843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -73, 112, 309, 524, 763?\n\"Answer: x**3 + 178*x - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**6 + 6*n**5 + 1956*n**4 + 2182*n**2?\nAnswer: 120*n**3 + 360*n**2 + 46944*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2, -1, 0.426, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-20)*((((u**34\/u*u)\/u)\/u)\/u)\/u*(u*u*u\/(u\/((u**(6\/5)*u)\/u))*u)\/u**(-4) assuming u is positive.\nAnswer: u**(91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5961099 is divided by 3728?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9117 and 112.\nAnswer: 1021104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.6 + -2. Let i = 0.055 + 0.017. Let p = -1.928 - i. Which is the closest to p? (a) r (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*m + 3*m + 3*r - 0*r - 29, 3*m - 1533 = 5*r - 1592 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -596*d + 228*d + 1553 = 6337. Suppose -i + 4*a = -5*i - 24, -4*i - 2*a = 28. Let f = -5 - i. Put d, f, 2 in descending order.\nAnswer: f, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -31*d**7\/42 - 104*d**3\/3 - 2*d**2 - 92. Differentiate p(l) with respect to l.\nAnswer: -620*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156028213 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1553 = -15*a + 12197. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/67 and -62\/16415?\nAnswer: 16415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 15*q + 10. Let f(t) = -10*t**2 - 135*t + 90. Let n(u) = 6*f(u) - 55*g(u). Factor n(d).\nAnswer: -5*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 27. Let u be i(-12). Let l = u - 15. Suppose 0 = 4*d + 2*k - 287 - 49, d + 4*k - 84 = l. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -8*i + 9*i. Let t(r) = 15*r + 9*r - 24*r - 2*r**i. Let m(y) be the second derivative of -5*y**4\/12 + 2*y. Give m(t(b)).\nAnswer: -20*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**3 - y**2 - y. Let m = 84 + -94. Let a be 20\/(-50) + 56\/m. Let b be -3 - ((-4)\/a*-3 + 0). What is n(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -2. Let y be 1*3*2\/6*-3. Let g be 7 - (-21)\/21*8\/(-2). What is the fourth smallest value in j, y, g, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 2*v**2 - 9. Let g be k(0). Let l = -3 + -1. Let p(d) = 11*d**3 - 9*d**2 - 9*d. Let n(j) = -5*j**3 + 4*j**2 + 4*j. Give g*n(a) + l*p(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, 0, -14, -42 in descending order.\nAnswer: 7, 0, -3, -14, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 165 and -0.5.\nAnswer: -82.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fdfffffdfd. Give prob of picking 2 f and 2 d.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or 4948\/15337?\nAnswer: 4948\/15337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 15. Give y(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 4739?\nAnswer: 473c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, -126, -34, 2, -0.075?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 167c - -e5?\nAnswer: 1772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 292\/5 - (3 + 2). Let y = x - -65. Which is the biggest value? (a) 2 (b) y (c) -0.5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + b = 84, -907*b + 953*b = 2*x + 4548 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -160 + 83. Let g = a + 80. Solve -2*n - 20 = g*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 3. Let j be (-30)\/(-4)*12\/15. Let i = j + -6. Which is greater: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -13*l**3 - 47*l**2 - 15*l - 8. Does 24 divide r(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-6)*37\/(10101\/156)*3\/43.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d. Let w(n) = 7*n**2 + 2. Let r be w(-2). Let s(m) = -6*m**2 + r*m + 3*m**2 + 5*m**2 - 27*m. Give s(g(y)).\nAnswer: 8*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*(sqrt(21)\/sqrt(3) + 0))**2.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -260, -2004, -6688, -15782, -30756, -53080, -84224, -125658?\nAnswer: -178852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1609*b + 4850 = -1547*b + 3059*b for b.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 34 = 9. Solve x*k + 0 = -10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o*o**(2\/3))\/o))\/(o\/(o\/(o\/((o*o*o\/((o*o*o**(-6)*o)\/o))\/o)*o)*o)))\/(o**3\/(o**(-2)*o))*((o**(1\/4)\/o)**(-30))**(-5\/3) assuming o is positive.\nAnswer: o**(-217\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2 + 2 + 0 + -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3\/7 + 135270*h**2\/7 + 44063676*h\/7 + 3575535048\/7.\nAnswer: -3*(h - 45414)*(h + 162)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*y - 312 = 63*y. Let f(a) = 43*a**3 - 2*a**2 + 1. Let i be f(1). Let x = i + y. What is the remainder when x is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-177 - (199 + -373)) + (1 + -1 - 104).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*p**3 - 437*p**3 + 217*p**3 - 2 + 2.\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 947?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + (sqrt(17) - (1 + sqrt(17)))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/2037 and (188\/194)\/(-137 - -159).\nAnswer: 22407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2678280 and 7340?\nAnswer: 982928760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*x = -105, 5*z - 3*x - 125 = 2*x. Let q be (-3)\/((-6)\/4)*(-35 - -37). Solve -t + z = q*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17364 + -17364. Solve 21*n + y = -21 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + t = 5368, 0 = -2*c - 21*t + 24*t + 2137. Calculate the remainder when c is divided by 354.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 5*s + 93, -5*v = -s - 65 - 15. What is the remainder when v is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Suppose -2*p = x - 3*p + 8, 3*p = -6. Let g be (-1)\/(-5) - (-2)\/x. Solve y = -l + 3*w - 13, -3*l - 5*w + 24 + 7 = g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.19*-6.7\nAnswer: 28.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 11:02 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 934 divide 857260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -q**5\/20 - 2*q**4\/3 - q**3 - 18*q**2 - 41*q. What are the prime factors of p(-10)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134785705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2, -97, -258, -481?\n\"Answer: -31*r**2 - 6*r + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 188 + -166. Let o = -23 + f. What is the third biggest value in -0.02, o, 5, 1\/8?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 7*c + 4*b = -13, 4*b = -3*c + 5. What is the second biggest value in 80, -18, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 5 (c) 0 (d) 11 (e) -4 (f) 146\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c18 + 3?\nAnswer: 1c1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -31\/8*h**4 + 0 - 18*h**3 - 2*h - 32*h**2. Differentiate j(d) wrt d.\nAnswer: -93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**2 + 371947*z - 371950 = 0 for z.\nAnswer: -371950\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-7) - (-45 + (15 - -4)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccccccccccccccfcc. Give prob of sequence ccf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*k = 49*k - 10*k - 34493 + 7287 for k.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*u - 25*u - 13*u)*(-2*u + 17*u + 2*u) - u**2 + u**2 + 2*u**2 + (0*u**2 - 2*u**2 + u**2)*(-8 + 25 + 29) to y*u + r + z*u**2 and give z.\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 + 19 + 12*a + 52*a)*(-3 - 24*a + 4 + 27*a) + 0*a + 0*a - 2*a**2 to the form p + b*a + y*a**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/3)\/(45188\/15405)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4\/4 + 5333250*w**3 + 12641576694498*w**2 + 9988236162075592776*w - 19976522890500629556.\nAnswer: 3*(w - 2)*(w + 2370334)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -15310*k**2 - 7735*k - 78. Let v(q) = -6124*q**2 - 3094*q - 30. Let c(m) = 5*i(m) - 13*v(m). What is the second derivative of c(p) wrt p?\nAnswer: 6124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6975.826 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -120, -399, -944, -1845?\nAnswer: -3192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffhh when four letters picked without replacement from hhfhfhhf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**5\/20 - v**4\/2 + 5*v**3\/6 + 3*v**2\/2 + 10*v. What is w(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38026.\nAnswer: 2, 19013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 132 - -74?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 2, 3, 6133 in decreasing order.\nAnswer: 6133, 3, 2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19252799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 817 * 54.\nAnswer: 44118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 4*a + 2, -4*x + 317*a + 508 = 53*a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**3*q - 3*d**3*s**2 + 2*d**3 + 136584*d**2 + 2*d*s**2 + 21919*q*s**2 - q*s - 2*q with respect to q.\nAnswer: d**3 + 21919*s**2 - s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28115, 112471, 253067, 449903, 702979, 1012295, 1377851?\nAnswer: 1799647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r**2 + 7. Let y be (24\/(-18))\/((-2)\/9). Let j(c) = 5*c**2 - c - 6. Let l(k) = y*q(k) + 7*j(k). What is l(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/(a*(a*a\/(a**(-17\/5)\/a)*a)\/a)*a*a*a*a*(a\/(a*a**(-3\/23)))\/a)\/(a**(6\/5)*a)**(-44) assuming a is positive.\nAnswer: a**(10986\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 323562 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 - (-98 + 96).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80928?\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 1:45 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*l + 104, 4*h + 3*l = h - 294. Is (-5472)\/h - 4\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-4)\/80*-3)\/(11186\/(-1275)) and -61\/329?\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1180\/(-14) + (-4)\/(-14). Let m be (-3)\/(-6*(5895\/1180 - 5)). Let j = o - m. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32008 divided by 8.\nAnswer: 4001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*2*sqrt(2057))**2*2 - ((-1 + sqrt(2057))*-6 + (sqrt(2057) + 1)*-2)) + 3)*4.\nAnswer: 352*sqrt(17) + 1053180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -232365 - -121?\nAnswer: -232244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 11:34 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.018?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1428 + 3076. Let b be -2*2\/4 + 6. Suppose b*o = 27 + z. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15702.754 * -26\nAnswer: 408271.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffnnnfnfnnnnnfnfffff. What is prob of sequence nnn?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24347 + -116 + (-12)\/(-1)?\nAnswer: 3, 8081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 237047?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r + 87. Let t be v(11). Does 8 divide (-39 + 3 + 1)*t\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (3 - -3)) + 1 + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, d: 3, q: 5, p: 4}. Give prob of picking 3 d.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 984389261*r**2 + 1847*r + 4859.\nAnswer: 1968778522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207764184.\nAnswer: 2, 3, 103, 84047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.1296437142 and 0.03232.\nAnswer: -1.0973237142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (4 - 1) + 0. Let k = -19 + 23. Suppose 1 - k = g*q. What is the nearest to q in 4, 1\/4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4657 + 16517. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 2*x. Let b be j(8). Does 6 divide 4\/14 + b\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -16*b**3\/3 + 1498. Let l(o) = -22*o**2 + 4*o. Give l(i(t)).\nAnswer: -5632*t**4 - 64*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 111 and 25353.\nAnswer: 938061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 6. Let k(s) = 2*s**3 - 5*s**2 - 4*s - 1. Let d be k(-3). Let f be ((-4)\/d)\/(2\/8). Which is the second smallest value? (a) -4\/3 (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 1531*f - 473913. What is v(264)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*r**2 + 7233*r - 4818.\nAnswer: -3*(r - 803)*(3*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8\/3 (b) 0.4 (c) -3 (d) 3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**42\/v)**(-28)*v**2\/v*v**29 assuming v is positive.\nAnswer: v**(-1146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.6 - -0.6. Let y be 111\/21 - (-2)\/(-7). Let v = -4\/9 + 25\/36. Which is the nearest to v? (a) y (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) -3 (c) 16.83 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**3 + 53*n**2 + 16*n - 4062. Calculate f(23).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*h + 9 - h + 3*h - 5*h + 11*h in the form s*h + y and give s.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6*z**2 + 5*z - 1. Let y(f) = -17*f**2 + 14*f - 3. Suppose -21*q = 9*q - 330. Calculate q*a(p) - 4*y(p).\nAnswer: 2*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 12. Is 15 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2357 + 2364. Suppose 5*r - 230 = -2*l, 0*l + 4*l = 4*r + 460. Suppose 4*q = l - p. What is the greatest common factor of 135 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5965*d**2 - 920*d - 1. What is the ten thousands digit of j(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 25*r**2 - 70*r - 31. Is s(28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -138*p**2 + p + 134*p**2 + p + 21*p. Let c(j) = -2*j**2 + 11*j. Suppose 3*g = -9*b + 13*b + 23, 2*g = 10. Give b*k(h) + 5*c(h).\nAnswer: -2*h**2 + 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**3 - 99*g**2 - 49*g - 114. Give s(-49).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 84*j - 1842 - 80 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 170*l - 33985. What is c(-118)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Round 18454880 to the nearest 100000.\nAnswer: 18500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - 579. Let n = t - -592. Solve -n*g - 3*g = 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*sqrt(11) - ((sqrt(704) - sqrt(11)) + -4))**2.\nAnswer: -48*sqrt(11) + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-46)\/(-782))\/(56\/41888)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -760*d**2*w**4 - d**2*w**2 - 65*d**2 - 4194*d*w**4 - 2*d*w**2 - 2*w + 308 wrt w?\nAnswer: -18240*d**2*w - 100656*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = 34*c - 23*c. Let k = c + 18. Solve 3*w + 5*z + 6 = -21, w - 2*z = k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -127\/629 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n - 10. Calculate l(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i + 9. Let s be 2 + 0 + -11 + -2. Let c(p) = -40 + 3*p + 21 + 24. Give s*c(g) + 6*q(g).\nAnswer: 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 + 52*h**2 + 2*h + 52. Let a be n(-26). What is the closest to a in -6\/35, -0.2, 1?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -185478, -9, 1 in ascending order.\nAnswer: -185478, -9, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000110 - -10100111001?\nAnswer: 10010110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/19499 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5\/(-20)*-4)\/1)\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 + 59.2. Let k = -6.19999898 + x. What is k rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-108)\/(-14) - (-8)\/28. Let b be 379\/((1 + -2)*-1). Suppose -5*f = -b + 99. What is the highest common factor of v and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djbddtsbdbbsdtbd. What is prob of picking 2 b and 2 d?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 495 - 489. Let k(h) = 3*h**2 - 3*h + 6. Let d(m) = -4*m**2 + 3*m - 7. Give q*d(z) + 7*k(z).\nAnswer: -3*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 1:23 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 230?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1175*m**2 + 18*m - 160597 wrt m?\nAnswer: 2350*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040080 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -9*s**2 + 7*s - 3. Suppose -2*h = -x + 2, 5*x - x - 4*h = 12. Let l(c) = 7 + 5 - 13 + 3*c - x*c**2. Determine 2*b(k) - 5*l(k).\nAnswer: 2*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 19 + -1 + -2 + (-389 - -486).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**2*n**2*q - d*n**2 + 75*d*n*q + 267*n**2*q + 19*n**2 - 4*n*q wrt d?\nAnswer: 4*d*n**2*q - n**2 + 75*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9.38 (b) 0.05 (c) 1.7 (d) 4\/7 (e) 4 (f) -4 (g) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44573926.\nAnswer: 2, 101, 220663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -k + 5*k + 10, 0 = k + 5. Let n be 4\/l + 20372\/55. Let t = -242 + n. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-364)\/(-13)))\/((10\/48)\/(-5)).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*j + 48*j + 95490 = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 + 4. Let s(t) = 1. Let j be (302*1)\/2 - (23 - 27). Suppose -156 = x - j. What is x*a(n) + 4*s(n)?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 11.1082.\nAnswer: -11.1082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + r = -0*n - 204, 108 = -2*n - 2*r. What is n rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -3. Let r be (-3)\/(18\/8)*y. Suppose r*m + 0*m = 60. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssvsvss.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -9, 4, -12, 225, -5.\nAnswer: -12, -11, -9, -5, 4, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*i - 144 = -39, 5*i = 2*u + 61. Sort -1, u, 5, 4 in descending order.\nAnswer: 5, 4, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-773*k - 4 + 758*k - 5)*(-1 + 2 + 6).\nAnswer: -105*k - 63","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 20\/3, -4, -0.026?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -751*z + 44 = -747*z. Is z smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.184 plus -577631?\nAnswer: -577630.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2536, 2499, 2462?\n\"Answer: -37*p + 2573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 918827?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**4\/12 - 2*t**3 - 156*t**2. Calculate i(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2765321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 1. Let n(t) = 3*t**2 - 112. Let r(p) = 2*f(p) - n(p). List the prime factors of r(0).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 times 67.2073?\nAnswer: 5376.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eeeeeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (444\/20 - 28)\/29?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -564*n + 4137. Give u(7).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7544664 litres to millilitres.\nAnswer: 754.4664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o = 26. Let g = o - 14. What is the units digit of ((-7)\/21)\/(g\/243)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4022213 - -2?\nAnswer: 4022220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -14 (b) -26 (c) -2\/7 (d) -4\/5 (e) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -9*a**3 + 7*a**2 + 7. Let o(y) be the first derivative of 5*y**4\/4 - 4*y**3\/3 - 4*y + 36. Determine 4*j(x) + 7*o(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 902104 is divided by 1550?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 863 is divided by (-40752)\/(-279) + (-12)\/186.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 1 - (-24 + 30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 9:35 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -439.1293 times -31?\nAnswer: 13613.0083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - -21. Let b = 172 + -163. What is the remainder when y is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61031867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - -24 - 26 - -15 - -40?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14*9\/36 - 3. Let o = -5.6 - -0.6. What is the second biggest value in o, g, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxux when four letters picked without replacement from xxxuxxuxxxxu?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 1 + 25 = 0. Let x = 150 - 76. Let t = -18 + x. What is the highest common divisor of d and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.8283 - -0.1717. Which is the closest to -6? (a) 2\/5 (b) u (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*((-11)\/66)\/(2\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -132 - -134. Suppose -s*d + 527 = d - 2*b, -2*b = -d + 169. Are d and 179 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 92*a**2 + 41*a + 2450. List the prime factors of j(90).\nAnswer: 2, 5, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - 966449*t**2 - 233505434175*t + 233506400625.\nAnswer: -(t - 1)*(t + 483225)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3759)\/(-716)*8\/3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.43158408 to 3 dps.\nAnswer: 12.432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -219 in -0.11, -0.3, 0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-136 - -133) + (20 - 2) + -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -38012*r - 6753. Is v(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 7*v - 33 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 352033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 2 + 5*a + 11\/2*a**2. Is q(7) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(12)*2)**2 - (sqrt(54)\/sqrt(2) + 0).\nAnswer: -3*sqrt(3) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 92876, 185551, 278226, 370901, 463576, 556251?\n\"Answer: 92675*d + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503*a + 176 = 459*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 9*r**2 + 4*r + 10. Let x be z(-9). Let s = 16 + x. Let u be 48\/s*40\/(-12). What is the highest common divisor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43706*p**2 + 1081*p - 2.\nAnswer: 87412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10749 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11449.9 - -11450. Sort -2, 1\/6, 10, -5, s in increasing order.\nAnswer: -5, -2, s, 1\/6, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/10 + (-156)\/(-20). Sort -29, v, 1\/5, 0.1 in increasing order.\nAnswer: -29, 0.1, 1\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3116 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - a**2 - 2*a + 3. Let b(w) = -5*w - 157. Let f be b(-32). Calculate d(f).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + 19)\/(-5) - 4. Let l = 38 - c. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51064997 and 859235?\nAnswer: 13219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-7)*(-210)\/(-270) + 748\/(-36).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/26*(-604 + 487)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6734\/7215*(-15)\/18.\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(374)\/(sqrt(1584) + (sqrt(1584) - sqrt(1584)*3)))\/(6*sqrt(288)*2))**2.\nAnswer: 17\/2985984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: a5 (base 11) to base 3\nAnswer: 11021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**3\/3 + 3*o**2 - 95*o - 30. What is the derivative of m(i) wrt i?\nAnswer: -2*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1162 (base 12) to base 2\nAnswer: 11110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d + -16229b?\nAnswer: -1622aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*q + 4 = -4*p, 2*q + 8 = 4*p. Which is the nearest to 2? (a) 1\/11 (b) 14 (c) q (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -29*h**3 - 33*h**2 + 3*h - 5. Let g(b) = -15*b**3 - 18*b**2 + 2*b - 3. Give 7*g(y) - 4*t(y).\nAnswer: 11*y**3 + 6*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g = -0*g + 144. Let y be 1*(2 + g + 2)\/(-2). What is the units digit of 0 + 0 + (-3)\/3 + y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3001, 2996, 2993, 2992?\n\"Answer: c**2 - 8*c + 3008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1 + 3*o**2 - 3*o**2 - o**2. Let w be g(1). Suppose 5*p + 5*t - 36 + 6 = w, 3*t + 6 = 0. Solve 0 = -5*i + 2*a - 21, -2*a - p = 2*i - 3*a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**2 + t. Suppose -158 = 2*l - 160. Give d(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(363) + sqrt(3) - ((sqrt(363)*3)**2 + sqrt(363)).\nAnswer: -3267 - 76*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-50)\/4*(-16)\/5. Suppose 5*k = -0*k + f. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 1 (c) 1642534 (d) -4 (e) -5 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9))\/(-1)*-4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m = -4, 3*w - 4*m = -1. Solve -w*v + 8 - 3 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i - 25*i + 6*i - 25*i.\nAnswer: -40*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 284107609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*n**2 - 8*n**2 + n**2 + (35 + n - 35)*(2 - 2 - n)*(-95 + 5 + 23) as q*n**2 + f + d*n and give q.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125506, 252708, 379912, 507118, 634326, 761536, 888748?\nAnswer: 1015962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 3388\nAnswer: -1\/1694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1274, 2565, 3856, 5147, 6438?\nAnswer: 7729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 3 + 0*d**2 - d**2 + 2*d**2 - 3*d. Give g(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 3*g - 1. Let p(b) = 2*b**2 + 3*b + 2. Determine 4*d(z) + 3*p(z).\nAnswer: 2*z**2 - 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = p - 4. Suppose 3*u - 11 + 8 = 0. Put p, u, -1 in decreasing order.\nAnswer: p, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from viinjininvaiinjap.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 245970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1894.\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77312 is divided by 1266.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 95767.1nm?\nAnswer: 0.0000957671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -40188735?\nAnswer: -40188735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 728821 is divided by 71?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -469, -2127, -4977, -9019, -14253?\n\"Answer: -596*g**2 + 130*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4957, -10169, -15403, -20659, -25937?\n\"Answer: -11*w**2 - 5179*w + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -5 (c) -43 (d) 0.4 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1918 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - i + i)*(6*i - 12 + 12)*(0 - 3 + 2)*(5*i**2 - 6*i**2 + 5*i**2).\nAnswer: 48*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.18 + -0.08. Let n = 2.8 - 17.8. Let o = -12 - n. What is the nearest to p in o, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.44046 rounded to 2 dps?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 - 0.5. Which is the closest to p? (a) 1 (b) -0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 350 + -353. Let t be (-8)\/l*-5*9\/(-60). Solve 0 = t*f + z + 6, 7*z - 4*z = 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43059384 and 162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3131.947 kilograms in milligrams?\nAnswer: 3131947000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5\/17 + 144646*f**4\/17 + 2614657166*f**3\/17 - 23541461998*f**2\/17 + 39243003280*f\/17 + 65398977800\/17 = 0. Calculate f.\nAnswer: -36166, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3 + 3*(-3 + sqrt(1573)*-1) + (3*sqrt(1573)*1 - ((sqrt(1573) + -1 - sqrt(1573)) + 1)))**2*-4.\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/6 - 11*x**3\/6 - 3*x**2 - 4*x\/3.\nAnswer: x*(x - 4)*(x + 1)**2*(x + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p + 22. Let z(q) = 3*q + 33. Let r(f) = 8*g(f) - 5*z(f). Let w(v) = 1. Let b(x) = r(x) + 3*w(x). What is the units digit of b(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172682 = -8*p + 3747318. What is p rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(448\/(-8)) + 1\/136.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 288 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84263.9 + -3780.\nAnswer: -88043.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48434 is divided by 52?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 2*u + 3. Let m be f(-2). Suppose m*k + 2*k + 10 = 0. Let o = 189.98 - 189.48. What is the closest to 0.1 in o, k, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 0 - 3 + 4. Let x(s) = 5*s**2 + 3*s + 16. Let k(u) = -6*q(u) + x(u). Let j be k(-7). What is the highest common divisor of 26 and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -30*a - 3. Let x be u(6). Let s = 312 + x. List the prime factors of s.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 3*v + 0*v)*(-2 + 2 + 2*v**3) - 1 + 248*v**4 + 121873*v**3 - 121873*v**3.\nAnswer: 254*v**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h + 555. Let j(f) = 2*f. Determine j(o(q)).\nAnswer: 8*q + 1110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1315 + -1314. Let o be -6*4\/32 - 5\/(-20). Let j = -12 + 8. Which is the closest to j? (a) o (b) x (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 271483\/1160 - 1873\/8. Calculate the common denominator of h and -61\/40.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4345.\nAnswer: 5, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4 = -11. Let q be (6\/15)\/((-1)\/d). What is the units digit of q\/10 + (-228)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4330*i**3 + 3987*i**2 + 12*i. Let l(v) = 8662*v**3 - 7972*v**2 - 20*v. Let u(q) = 3*l(q) + 5*n(q). What is the third derivative of u(b) wrt b?\nAnswer: 26016","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 10*g**2 + 7330*g - 1. Let z(q) = 4*q**2. What is t(z(a))?\nAnswer: 160*a**4 + 29320*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 2 - 2*m - 2*m - 2*m**3 + 7*m. Let q(g) be the second derivative of g**4\/4 - g**3\/3 + g**2\/2 + 3*g. Let x be q(1). Calculate d(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -0.8. Sort 2, 3, s in decreasing order.\nAnswer: 3, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-2*3)\/(-3). Let c = 23 + -25. Let x be 0\/(c - 0\/(-4)). Solve f - b + 0 = x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - (1 + -2)) + -11. Let j be (-54)\/(-90)*(1 - c). Let r be (-1 + j + -4)\/1. Solve -13 = -3*y - r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-33)\/66)\/(-1 + 9\/10). Solve u = -4*x - 20, w*u + x + 32 = -2*x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 2603?\nAnswer: 2604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - 111650 - 4502. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 170\/693 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-2))\/(-7))\/(58700\/(-123270))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4\/5 - 546*u**3\/5 + 3922*u**2\/5 + 546*u\/5 - 784 = 0. Calculate u.\nAnswer: -280, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2 + 193*r - 4684. Let p be z(-66). Find a such that 0 - 1\/5*a**3 - 2\/5*a**4 + 1\/5*a**5 + 2\/5*a**p + 0*a = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k**4 + 0*k**4 - k**4 + (-8*k**3 - k**3 + 5*k**3)*(k - 2*k + 0*k))*(-k + k + k).\nAnswer: 9*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 218?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -5. Let h = -0.04 - t. Let j = h + -0.06. Put j, -2, -1\/4 in decreasing order.\nAnswer: j, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 891, 2305, 4351, 7023, 10315, 14221, 18735?\nAnswer: 23851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 359 divide 5810050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13486?\nAnswer: 2, 11, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2427 + -0.1427. What is the nearest to r in -0.5, 2, -1\/61?\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 52\/9 (b) 9 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (((-6)\/(-4))\/(-3))\/(65\/(-12610)) is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 + -11)*(0 - -3). Let l = -5 - q. Suppose -5*h + g = -57, -4*h + l*g = 2*g - 48. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 28994*i - 62678664.\nAnswer: -2*(i + 2644)*(i + 11853)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2427245 divided by -17?\nAnswer: -2427245\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -6, -14, -36, -78, -146?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -352 + 375. Solve 3*n - 3*d = n, 4*d + a = -5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 16*a + 47. Calculate the remainder when i(10) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 13*k**2 + k - 12. Let f be z(13). Suppose 0 = 3*b + 2*a - 6, 0*b - 10 = -5*b + a. Let v be b\/(-24) + 2\/6. Is f less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u**3 + 0*u**3 + 3*u**3)*(1 - 1 + u + (-6 - 6 + 0)*(2*u + 2 - 2)) to r*u**4 + j + h*u + d*u**2 + q*u**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 3*r + 42 = 0, 159*r = -s + 164*r + 48 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 - u - 2. Let q(d) = 0*d - 3*d**2 + d**2 + d - 2*d - 2. Determine -7*h(f) + 6*q(f).\nAnswer: 2*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = -557*h + 560*h. Solve h*l = 35*l - 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.901 take away -0.6?\nAnswer: 3.501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 + q**3 - 2*q**3 + (2*q - 52*q - 10*q)*(0*q**2 - 2*q**2 + 4*q**2) - q**3 + 3 - 3.\nAnswer: -122*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from mzzjmj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -309632375 divided by 61926475\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/14 and (2 - 4) + (-171)\/12.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6864 = -119*d + 143*d. List the prime factors of d.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1.51 (b) -1\/2 (c) -61 (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l. Let x(k) be the first derivative of 0*k**2 - 8\/3*k**3 + 0*k - 29. Determine x(g(a)).\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/11, -2630, 9, -2, 0.045, -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 3*s**2 - 5*s - 1. Let n be y(5). Let z = n - 19. Suppose 4 = -4*p, -2*p + 31 = -2*d + z*d. What is the smallest common multiple of d and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438755 to the power of 1\/2, to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4899, -5206, -5513?\nAnswer: -5820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 16 = 9. What is the highest common divisor of 28 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**4\/2 + 45*l**3\/2 - 117*l**2 + 246*l - 180 = 0.\nAnswer: 2, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3230395 is divided by 394?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**3*m**4 + 8*k**3 + 5*k*m**4 - 7*k*m**2 wrt m?\nAnswer: 24*k**3*m + 120*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004289868552 rounded to six dps?\nAnswer: 0.00429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 49*b**2 + 13. Let g(t) = 12*t**2 + 3. Let q(h) = -26*g(h) + 6*i(h). Let p(u) be the first derivative of 2*u**2 - 302. Calculate q(p(w)).\nAnswer: -288*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 3722.228194 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.19 or 3\/82?\nAnswer: 3.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -9*n - 5*n + 6*n + 7*n. Let y(o) = -o - 2. Let s be y(-4). Let r(x) = 0*x**s - x**2 + 0*x**2. Determine r(k(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k - 5*k + 6*k**5 + 1 - 2*k**5 - 1 + 0*k**3 + k**5 + 0*k**3 + (-k**2 + k**2 + 2*k**3)*(-k**2 + 3 - 3) - k**5 + 0*k**5 + 0*k**5.\nAnswer: 2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 93?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 4*m + 382 - 423, 3*h = m - 14 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 5*r - 30 = 0, -913*h + 914*h - 5*r = -2 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 47, 105, 163, 221?\n\"Answer: 58*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -239661963825.\nAnswer: -239661963824.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + 4*v - 15. Let c = v + 7. Is (-306)\/(-12) - 2\/c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from trzttzcctccrcttcczt. What is prob of picking 1 r and 3 c?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 8284 and 8285 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67\/366 - -1\/61. Let s = 105 + -83.5. Let p = s + -22. Which is the smallest value? (a) g (b) p (c) -0.1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 1:16 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/6*(-6)\/90. Let c(k) be the second derivative of 1\/12*k**4 - 1\/20*k**5 + 1\/90*k**6 - f*k**3 + 0 + 0*k**2 - 3*k. Factor c(n).\nAnswer: n*(n - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -0.30638?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 34*x - 1057. Let k be y(31). Which is the nearest to 1\/25? (a) k (b) 16 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 14*a - 7. Let c be v(-11). Calculate the greatest common divisor of 169 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(2\/9)))**18\/(s**(1\/22)\/(s\/(s\/s**34))))**36 assuming s is positive.\nAnswer: s**(11862\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - -16) + -23 - (3 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 9130626701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 + 4*s**3 - 3*s**3 - 6*s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30436, 30446, 30462, 30484, 30512, 30546?\nAnswer: 30586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 116341 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10, 4\/3, -11, 0.046, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3024 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*w - 4046 = 193*w for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*d - 14 = 0, 5*d - 11 = -s - 2*s. Let x be (-6)\/(-4)*2 - 3. Suppose -4*t + 3*t = x. Solve l + t = s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -51 + 61 + -142 - (32 + -27 + 1 + -3)\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 33702*g**2 - 2746376 + 2746376 in the form x*g**2 + h*g + u and give x.\nAnswer: 33702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-712)\/(-64) - 50\/16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 - 4. Let i(w) = w**2 + 2. Let v = -3 - -6. Let z(d) = d**3 + 6*d**2 - 9*d + 3. Let k be z(-7). Let n = k - 10. Give n*i(s) + v*h(s).\nAnswer: s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-8)\/(-96)*6*-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 4, -0.054, -80, -3?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3156139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2221 (base 3) to base 16.\nAnswer: 4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47.24 - -1.24. Let t = 46.5 + p. Let v = 3.05 + -0.05. Which is the nearest to -1? (a) -0.04 (b) t (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1616197031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, 170, 236, 302, 368, 434?\nAnswer: 500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + l + 16. Let m be o(0). List the prime factors of (200\/m)\/((-1)\/(-6)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 28 = 3*l, -14*l + 11*l = 3*w - 3. Calculate the remainder when 124 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3)\/p)**(7\/3)*p**(-2\/19)*(p*p*p**(-5))\/p assuming p is positive.\nAnswer: p**(-1234\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106192879?\nAnswer: 13, 8168683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6710 + 1595. What are the prime factors of x?\nAnswer: 5, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 5. Suppose 9 = z*o - 9. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 5. Let d be g(2). Suppose d*h + 2*v - 44 = -3*v, h = -3*v + 20. Calculate the greatest common divisor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -6)*(-21)\/9. Suppose -6305331 - 17494669 = a*b. What is b rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -52340000 to the nearest one million.\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -802\/5 (b) 86 (c) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*o + 54 = 0. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57608.\nAnswer: 2, 19, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -133*k - 89*k - 1 + 262*k + 3 to i*k + p and give i.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -382784.4 - -4.3?\nAnswer: -382780.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, 9, -14, -5, 2, 11, 0.\nAnswer: -70, -14, -5, 0, 2, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 56 = -2*s, 4 = -2*t + 12. Solve 1 = u + 2*i, i + s - 23 = -2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*2*7\/7. Suppose 0*l + a*u = -l + 9, -18 = -l - 5*u. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 30*j - 39. Let k be d(3). What is the third smallest value in -6\/7, -7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -35171*t + 773814. What is p(22)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 1. Let v be 2 + (3 - 0\/c). Let l(s) = -s**3 + s - 1. Let p(n) = -2*n**3 + 5*n - 5. Let m = 564 + -565. Give m*p(b) + v*l(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z - 115. Let q be x(-22). Let a be 3\/(q + -2 + 4) - -23. Solve 3*r + 25 = a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 >= 116\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.475 + -0.025. Let z = -2 + 3. What is the closest to z in 2, -5, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grr when three letters picked without replacement from {w: 2, z: 3, g: 2, v: 2, p: 5, r: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-48 - -17) + 16 + -3\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*s = -76 - 64. Sort -28, 4, s, 2 in increasing order.\nAnswer: -28, s, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a - 4. Let g be k(5). Let m(u) = -6 - 6 - 4*u - 6 + 3. Let v(q) = 0*q - 4 - q - 3*q + 3*q. Determine g*m(z) - 22*v(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 0, 1 in decreasing order.\nAnswer: 18, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d, -42 = -3*f + d + 4*d. Calculate the smallest common multiple of 20 and f.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -63\/32?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*j - 73, -2*h = -3*j + 3*h + 38. Suppose -c - 9 = 4*a, 2*a - 7*a - 10 = 0. Let k = 4 + c. Calculate the greatest common divisor of j and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -0.3. Let z = -0.4 + w. Let x = z + 0.20013. Round x to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164 divided by -41.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 + 80 = 3*j. Calculate the remainder when j is divided by ((-1845)\/164)\/((-6)\/8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bcw when three letters picked without replacement from {c: 1, w: 1, u: 1, b: 2, v: 1, y: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*d = 24, 5*r = r - 4*d - 12. Suppose 3*h = 5*c - h - 11, -5*c - 21 = 4*h. Let w be (7\/7*c)\/(4*3). Is w less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 25*x**2 - 2*x + 3. Let n be b(-2). Suppose 0 = -5*r + n - 537. Let u = r + 285. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -356*-5*(-97)\/(-1940).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1)\/((36\/108)\/(10*(-10)\/(-12)))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34*(12*10\/480)\/(2\/4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.5 (b) -0.3 (c) 4\/323\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 31*m**6\/120 + m**5\/20 + m**4\/8 + 5*m**3\/6 - 62*m**2 + 8*m - 2. Let p(i) = 32*i**3 + 4*i**2 + 4*i + 6. Give -3*p(f) + 4*x(f).\nAnswer: 28*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*a + 1503 = 115*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 509*z + 218*z - 48654 = -191*z for z.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -7, -2, 2.4, 0.07, 0, 4\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 10:31 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/8, 9, -1\/3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h. Let g(t) = -t**2 + 83*t - 110598. Calculate g(c(u)).\nAnswer: -u**2 + 83*u - 110598","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkkooqhwwwkw. Give prob of picking 2 k and 1 w.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 441*o**2\/8 - 3759*o\/2 + 32041\/2.\nAnswer: (21*o - 358)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = g - 8. Let k be (6\/(-15))\/(g\/(-10)). Suppose -k*t - 160 = -6*t. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 491 + -489.843. Let b = -1.12 + q. Round b to 3 decimal places.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101100010 (base 2) in base 16?\nAnswer: -762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 7\/4, -19194, 2\/9, 0.3, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2136 - 817?\nAnswer: -2951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6572 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*m - 50. Let p be -2 - 16\/m - 1224\/40. Let y = -7 - p. What is the least common multiple of y and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*p**6 - 435*p**5 + 7*p**4 - 58*p**2 - p - 21 wrt p?\nAnswer: -960*p**3 - 26100*p**2 + 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21026969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21 and 0.1815.\nAnswer: 3.8115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -23*z - 207. What is o(-12)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337 = -3*h - 2*h - 4*b, 0 = 4*h + 3*b - 270. Factor 174 + 5*k**2 - 54*k + 3*k**2 + h - 5*k**2.\nAnswer: 3*(k - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 8*x + 1)*(-59*x + 130*x - 50*x) + (-2*x + x + 3*x)*(-x + 2*x + x).\nAnswer: -164*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 - 3. Let j = f - 27. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2068215 is divided by 140.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3427 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -1. Let z be -2 + (0 + h - -9). Suppose 4*i + 3*y - 147 = 0, 185 = z*i + 2*y + 2*y. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -13\/6*f**3 + 0*f - 12*f**2 + 17\/24*f**4 + 0. Let k be b(2). Calculate the greatest common divisor of k and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltldddldlllddllldlld. What is prob of picking 1 l and 1 t?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = d - 2*j - 65, -12 = 4*j. What is the remainder when d is divided by 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 909552 or 908131?\nAnswer: 908131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3076, -64, 2, -136 in ascending order.\nAnswer: -136, -64, 2, 3076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + y - s - 3 = 0, 15 = -3*y - 5*s. Find the common denominator of 59\/45 and 478\/510 - ((-60)\/(-36) - y).\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8145840583?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**2 - 4*z**2 - 7*z**2 + 5*z**2. Let a(m) = -274*m. Determine l(a(p)).\nAnswer: -150152*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**(-12\/17)\/(s*s\/(s*s**7\/s)*s*s**(-3)) assuming s is positive.\nAnswer: s**(107\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - s + 375. Let w = s + 94. Solve -4*a + 3 = w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5166723 to the power of 1\/2, to the nearest integer?\nAnswer: 2273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 996 and 19920.\nAnswer: 19920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*n + 9*n + 1 - 14*n + (-2 + 6 - 2)*(4 - 4 + n) - 4*n + 3*n + 0*n.\nAnswer: 33*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1, 1650, -2, 3.\nAnswer: -2, -1, 0.4, 3, 1650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**3\/2 - 3*q**2\/2 + q. Let b be 2\/(-8) + 18\/8. Let g(n) = -3 + n + 7*n - 4 - n. Determine b*g(k) - 5*u(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 17*i**2 + 30*i + 2. Let d be f(15). What is the derivative of -11*s**2 + 6*s**3 + 5*s**d - 5*s**3 - 9*s**3 + 138 wrt s?\nAnswer: -24*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3150)\/(-135)*3*10\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 501269 and 762?\nAnswer: 3007614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 28 - 36 = 0. Calculate the least common multiple of (-24)\/(-9) + 4\/(-6) and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + (-108)\/45)\/(27\/(-28935)). Which is bigger: i or 5788?\nAnswer: 5788","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 680 = -3*h, -4*h = h - 5*x - 1125. Let s = -25738 - -25748. Calculate the least common multiple of h and s.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/1074483 and -44\/63.\nAnswer: 7521381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*u - 153 = 0, -3*s - 121 = -6*s - 4*u. Suppose 3*r + 10 - s = -5*k, -r = 4*k - 19. Suppose -z = -r*z + 14. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -30, 114, -4 in decreasing order.\nAnswer: 114, 1, -2, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 15*r - 5. Let o be i(-18). Is 36 a factor of -2*2*(4 - o - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5266 is divided by 189.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = 5*y - 3*m, 0 = 4*y - 18*m - 14*m - 5 - 31 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/24)\/7*8\/(-2).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 47*c**4\/3 - 254476*c**3\/3 - 1685363*c**2\/3 - 3078824*c\/3 - 549328 = 0?\nAnswer: -4, -76\/47, -1, 5421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from {g: 3, i: 4, k: 5, b: 1, t: 5}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 96 - 2b?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 7*o**3 + 2*o - 5. Let v(t) = 6*t**3 + t - 4. Let m be (16\/(-20))\/((-2)\/(-10)). Let n(w) = m*q(w) + 5*v(w). Find the second derivative of n(r) wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 13*c - 9. Let r be v(1). Let q(g) = g**3 + 8*g**2 + 5*g + 4. Is q(r) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -275, -538, -783, -1004, -1195, -1350?\n\"Answer: u**3 + 3*u**2 - 279*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12530 and 50.\nAnswer: 62650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**3 - 735*x**2 + 735*x**2.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/((z*(z**(-15)*z*z)\/z)\/z)*z\/(z**(1\/4)*z*z) assuming z is positive.\nAnswer: z**(59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 35*b - 12. Let w be 1*4 + 9 + -11. What is the tens digit of d(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wgtrttttwwgg. Give prob of picking 1 w, 1 t, 1 r, and 1 g.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -2) + (7 + -36 - -21) + (-13 - -5)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/12 and -65\/10390038.\nAnswer: 20780076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*d + 59*d - 19 = s + 30*d, -s + 281 = -149*d for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 41*l**6\/120 + 11*l**5\/60 - l**4\/3 + 218*l**2 - 3*l. Let g(u) = 27*u**3 + 7*u**2 - 5*u. Give -8*g(b) + 5*w(b).\nAnswer: -11*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 1\/4 (c) -1\/3 (d) 0.4 (e) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (0 - 0)\/(234\/(-26)). Let d(s) = s**3 - 4*s**2 - 2*s + 4. What is d(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1671000 to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/5 + 2008*k**2 - 40172*k\/5 + 40176\/5.\nAnswer: (k - 2)**2*(k + 10044)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*r + 66. Let q(x) = 2*x**3 - 8*x**2 - 6*x + 10. Calculate the lowest common multiple of q(5) and r.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3 + 14*f**3 - 8*f**3 + 1. Suppose 50 = -6*l - 4*l. Let o(h) be the third derivative of 11*h**6\/120 + 7*h**3\/6 - h**2. Give l*i(g) + 3*o(g).\nAnswer: 3*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + d - 13, -d - 3*d = 2*f + 4. Let i be (30\/f)\/((-9)\/12). Let s be (-27)\/45 + 16\/i. Is -4 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1060 - -1150. Which is smaller: c or 91?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + k - 4*j = -20, 2*k = -4*j + 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1432\/3 - 477. What is the smallest value in 1\/8, 5\/3, k?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*x**3 - 50*x**3 + 157*x**3 - 64*x**2 - 2*x - 53*x**3 as t*x + m + p*x**3 + d*x**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 7:50 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101, -2, 2, 7 in decreasing order.\nAnswer: 7, 2, -2, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + 3*u + 5. Let f(v) = 3*v**2 - 6*v - 9. Let k(r) = -6*f(r) - 11*m(r). Let t be k(9). Round t to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 n, and 1 z when four letters picked without replacement from {o: 1, m: 4, z: 2, f: 2, y: 1, n: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -264 - -264.115. Let d = -0.215 + u. Is d > 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-12 + (-6817)\/(-102) + -41)*(-4)\/14.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1668*(-1 + 3 - 1) + -1. Which is bigger: z or -1668?\nAnswer: -1668","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270505 = 5*m - 3*y - 270479, -5*y = -6*m - 27 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.2 and 49?\nAnswer: 58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -205.\nAnswer: -1\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2657 is divided by 661?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*5\/(-8)*-4. Suppose 4*g - 5*s - 85 = 0, r*g - 3*s - 95 = s. What is the greatest common factor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262 times 2.6\nAnswer: 681.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7}. What is prob of picking 2 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -9. Which is smaller: -1\/103 or f?\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 0*y + 18. List the prime factors of ((-25)\/y*-2)\/((-2)\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 595 - -15fce?\nAnswer: 16563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*y - 1108, 5*a + 13*y - 1405 = 12*y. What is the remainder when a is divided by ((-19)\/(-38))\/((-2)\/(-228))?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) + sqrt(49)*1*5)\/(sqrt(7) + (-1*sqrt(70))\/sqrt(10) + sqrt(7))*-6.\nAnswer: -36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63 + 82. Suppose 5*i = -4*g + 21, -u = -5*g + g - 3*i. Suppose 4*n - 2*b + 300 = 1934, g*n - 1638 = -2*b. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aifpb. Give prob of sequence fi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6 - 7 - 269*n**2 + 164*n + 142*n - 325*n**2 wrt n?\nAnswer: -1188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 528 times -0.35\nAnswer: -184.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 185235938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 97.22342s?\nAnswer: 97223420000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = -t - 3*h, 5*t + 819 = t + 5*h. Let q = 207 + t. Solve y + q = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -3*g**4\/4 - g**3\/3 - 5*g**2\/2 - 15*g - 90. Let o be u(-2). Solve -5*r + 5*m + o = 0, -m + 5*m + 22 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100 + -101110101101011110011?\nAnswer: -101110101101010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 76 = 2734*d - 2732*d, 2*d + 132 = 4*d + 5*w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -105 at least -103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(180) - sqrt(180)*-3) + sqrt(180)).\nAnswer: 150*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(6\/(-3)) - -2. Solve -4 = -3*h + h, -4 = 2*p + a*h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 359*t**2 + 150*t + 164. Calculate x(-1).\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 4*s**2 - s + 3. Suppose -244*p + 233*p = -22. Determine d(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99.1 + 99. What is the third smallest value in u, 1.9, 3\/4?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -453 - -479. Find the second derivative of -9*n + 34*n + i*n**4 - 14*n**4 + 14*n wrt n.\nAnswer: 144*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-2))\/((-7)\/(-28)). Let u(w) = -w**q - 8 + 8. Let m(g) = -3*g. What is u(m(z))?\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -1.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -138 or -412\/3?\nAnswer: -412\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-4 - (-6 + 20))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.16 (b) -2\/3 (c) 0 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 341 and 669569.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.1 (b) -5 (c) -232\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/7, 0.11, 1\/97, 0.4, -23, 0.3?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9+-11.78\nAnswer: -20.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 1 + 2*d - 7 + 2 - 4*d. Determine y(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43320.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 6*m**2 + m + 1. Let a be o(8). Let d = a + 220. Calculate the remainder when d is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5019 - -5019.1. Put 0, -1, 4, g, -31 in ascending order.\nAnswer: -31, -1, 0, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 15*d**4\/8 + 41*d**3\/6 + 54*d**2. Find the first derivative of j(a) wrt a.\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 9*n**2 - 7*n - 4. Determine t(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, 354, 663, 1064, 1557, 2142?\nAnswer: 2819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - -32a5?\nAnswer: 32b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: a2099 (base 11) to base 8\nAnswer: 443274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(450))\/sqrt(6) + 3.\nAnswer: -10*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17316 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, u: 1, r: 1, d: 4, k: 2}. What is prob of picking 1 k, 1 d, and 1 u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/10 and -40\/49.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 417713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 127\/5 - (-78)\/130.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 4*f - 2*f + 15 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 478370639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34598, -69197, -103796, -138395, -172994, -207593?\nAnswer: -242192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -51, 4, -3 in decreasing order.\nAnswer: 6, 4, -3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88\/3*732\/8.\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*h**2 + 0 - 9*h**2 to q*h**2 + g*h + z and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183 = -2*i + 5*v, 182 = 20022*i - 20025*i + 5*v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -136 - -78. What is d rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/544 and (((-2)\/(-1))\/6)\/(4046\/(-11067)).\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 7:29 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**2 - 3*g + 2. Let b(f) = 2*f**2 + 2*f - 1. What is 5*b(d) + 3*k(d)?\nAnswer: -2*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44 + -184?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 17*x - 201 = -85, a + 34 = -5*x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t - 5*t - 14780 = 0. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -27*z**4\/4 + 4*z**3\/3 - 3*z - 6. What is the units digit of v(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -p - 28. Sort 5, 0, p in descending order.\nAnswer: p, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 12*o**2 + o + 17. Let s be k(-12). Suppose 25 + 18 = 4*x - s*p, -3*p + 15 = x. Let z = x + 17. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -44, 2 in increasing order.\nAnswer: -44, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 635 + -563.1. Let r = -72 + j. Let w be ((-2)\/(-36))\/((-1)\/(-4)). What is the nearest to 2\/3 in 0.5, w, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*b = 20*b + 10131. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -46\/5 (b) -2 (c) -288 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*((-3 + -1 + sqrt(3) + 4)**2*1 + sqrt(21)\/(sqrt(7)*-1) + (sqrt(192) - (sqrt(192) - (-2*sqrt(192) + sqrt(192))))**2 + -4).\nAnswer: -24*sqrt(3) + 4584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 23 = -7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v**2 - 96*v + 17. Let l be f(19). Put 14, l, 4, 1 in increasing order.\nAnswer: l, 1, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 405 and 5457.\nAnswer: 736695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 3\/4*t**4 - 4\/3*t**3 + 0*t + 0*t**2 + 3. Find the third derivative of g(n) wrt n.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410065633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 + -99 - (6 + (-6 - -5) + -4 + 6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*j + 584 = 0. Which is greater: j or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 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 22*a - 3016 = -3*r, -424 = -3*a - 25*r + 23*r. Calculate the remainder when 425 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/5252986 and 71\/56.\nAnswer: 147083608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*n - 47 + 343 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24408*h = 2*s + 24411*h - 2, -h - 11 = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.21 - 0.13. Let f = g + -0.08. Is 3 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**2 + 3*b - 6. Let j(g) = -120 - 118 - g + g**2 + 240. Let p(m) = -3*j(m) - k(m). Let l(y) = -217*y - 1. Give l(p(x)).\nAnswer: -217*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**7*(a**10\/a)\/a)\/(a**(3\/2))**32)**(-2\/49))**(-34) assuming a is positive.\nAnswer: a**(-2244\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1010 + 12 = 73*a for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*f + 11. Suppose 3*z - 2*a - 13 = -1, a = 3*z - 9. Suppose 10*u - 7*u + 5*n = -30, 5*u - 4*n = -13. Sort z, u, f in increasing order.\nAnswer: u, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39.8286 + -0.0914. Let d = t - -40. What is the second biggest value in 0.4, 0.5, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -141*d - 42. What is the remainder when m(-3) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -103*l - 185. Suppose 0 = -3*u + u + v - 15, 2*u - 5*v + 11 = 0. List the prime factors of s(u).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9509, -9568, -9625, -9680, -9733, -9784, -9833?\nAnswer: -9880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4284 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o + 11 = 11 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*o + 43*o - 1960 = -68*o for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 at least as big as 182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -110268.4115 rounded to the nearest one thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -3025, 1\/10, 1.18, -2, -1\/5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 392*v. Let c(l) = 3*l. Give c(m(w)).\nAnswer: 1176*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 79.97 and 0.3?\nAnswer: 79.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-1 - 78 - ((-21 + 58 - 26) + -19)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 532.\nAnswer: 2128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**9\/7560 + f**3\/2 + 6*f. Let u(h) be the second derivative of z(h). Factor u(i).\nAnswer: 2*i**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 6*j - j)*(j + 0*j - 3*j + (0 + 0 + 2*j)*(1 - 3 + 4) + 0*j - 2*j + j - 1 + 1 + j).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 79*r**2 + 798*r + 3952. Calculate t(66).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -27) + (-2 - 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2240 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54 - 52) + (2 - 0) - -34.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**4 + 1. Let h be (-6)\/(-4)*(1 - (-49)\/21). Let f(g) = 3*g**4 + 25*g - 5. Let t(k) = h*o(k) + f(k). What is the second derivative of t(u) wrt u?\nAnswer: 96*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 5:24 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1992318 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*d**3 + 14*d**3 + 135*d**3 - 74*d**3.\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34224216.\nAnswer: 2, 3, 13, 43, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((8 - 2) + -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 32163.7 (b) 2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*t - 621 = -42*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 6:27 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 11 (c) 49\/2 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3679746 or -3679759?\nAnswer: -3679746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16118 is divided by 4835?\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -29\/84170 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*t - 381. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13561 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/8, 0.04, 39\/10, -5, 0.2, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -99164740 to the nearest 100000.\nAnswer: -99200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*b + 31*b - 29*b.\nAnswer: -72*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.56532 or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -487301\/12000 - -1299\/32. What is the common denominator of 31\/33 and q?\nAnswer: 8250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 166*b**4 + 84*b**4 + 230*b**4 + 2 - 153*b**4 - 930*b wrt b.\nAnswer: 3924*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21226886*o**5 - 24769*o**2 + 11*o + 5.\nAnswer: -1273613160*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, f: 1, e: 4, n: 2, u: 1}. Give prob of picking 1 u and 1 e.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*u - 7. Calculate the lowest common multiple of u and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - -15. List the prime factors of c.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2 - 3*n**3 + 4*n**3 - 12*n**3 + 4*n**3 - 2. Calculate the smallest common multiple of 210 and s(-1).\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 934510414 to the power of 1\/3, to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -60, -87, -114, -141?\n\"Answer: -27*b - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*y = -11, -4*v + 2*y - 2 + 24 = 0. Let o be 2 + 2 + -2 + 0. Put 0, o, -5, v in decreasing order.\nAnswer: v, o, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2 - 2021958*o + 18197865 = 0. What is o?\nAnswer: -673995, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 4, -4 = -16*s + 13*s + 2*b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -11. Suppose 1 = 2*c - c. What is the smallest common multiple of b and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 2*v - 72, 3*v + 0*v + 45 = 3*w. What is the remainder when 67 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/18)\/((-40)\/360). Find the third derivative of 53*w**v + 121*w**5 + 58*w**5 - 98*w**5 + 145*w**5 wrt w.\nAnswer: 13560*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + 4608\/63)\/(6\/357). What is the highest common factor of g and 363?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/34 and 23\/385.\nAnswer: 13090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 5*l - 137 = -4*x, 4*l + 164 = -2*x. Let t = x + 180. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 - 0.13. Which is the smallest value? (a) -1 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4621 and -0.0045?\nAnswer: 4621.0045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1865235?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*n + 90*n + 145 = 0. Let k = -176 - n. Which is smaller: k or -28?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.041865 to 3 dps.\nAnswer: 1.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/p**(1\/9))\/(p\/(p\/p**(-6))) assuming p is positive.\nAnswer: p**(80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*m + 1. Let r(l) = 6*l**3 - l**2 + 1. Let v = -8 + 10. What is the lowest common multiple of r(m) and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46\/261 - 4\/87. Let r = 135 + 89. Let i = r + -228. What is the smallest value in -2\/7, -1\/5, i, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 28. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2 + sqrt(112) + sqrt(112))**2.\nAnswer: 96*sqrt(7) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27341 + 58946. What are the prime factors of r?\nAnswer: 3, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 2*p**2 - 5*p**2 + (2*p - 2*p + p)*(3*p + 2*p - 4*p) + 1 - 1 + p**2 + 144*p**2 - 270*p**2 + 158*p**2)*(2 - 3*p - 2).\nAnswer: -99*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -136, -3, -5, -1, 16001 in ascending order.\nAnswer: -136, -5, -3, -1, 16001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/4))**(-1\/11))**25 assuming p is positive.\nAnswer: p**(25\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 961413*h + 0 + 0.\nAnswer: 961413*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 + 2b2367?\nAnswer: 2b2352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 2*q**2 + 5*q + 2. What is t(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 7 = -3*f, -4*f = -3*r - 10 - 1. Suppose -z - 8 = -0*b + 2*b, 4*z + 3*b = -7. Let w(v) = -v**3 + z*v**3 + 3*v + v**f - 7*v**2 + 3. Give w(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/12 (b) -25.6 (c) -2\/5 (d) -2 (e) -53 (f) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05918546 rounded to 4 dps?\nAnswer: 0.0592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276 = 843*n - 1696*n + 830*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**4\/11 - 4045697*q**3\/11 + 10788508*q**2\/11 - 5394252*q\/11 = 0. Calculate q.\nAnswer: 0, 2\/3, 2, 1348563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 267995, 535976, 803961, 1071950, 1339943, 1607940, 1875941?\n\"Answer: 2*c**2 + 267975*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 123, 127, 145, 183, 247, 343, 477, 655?\n\"Answer: v**3 + v**2 - 6*v + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 122?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen halves of a millimeter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 127105 = -3*o, 13*a + 4*o + 254212 = 17*a. What is the thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2914967879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11537 is divided by 296?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1bc + b708b5?\nAnswer: b706d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1223294 is divided by 95?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -470645?\nAnswer: -470646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.3 - 0.7. Let c = n - -6. What is the nearest to c in -0.2, -3\/8, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 1 + 2. What is the tens digit of w\/(-2)*1*24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 1992 = -2*y, 4*y - 3927 = -2*s + 5*s. Calculate the remainder when y is divided by 165.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*t + 3*t + 15*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*m - 29*m + 9*m - 7*m - 1 + 4*m.\nAnswer: -42*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = r - 42. Sort -5, r, -3 in decreasing order.\nAnswer: r, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 398 + 455. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 32. Suppose -3*m - 17 = -3*f - d*m, 4*f - 21 = m. Let q be (-8)\/(-3)*(5 - 2). Solve q = -8*p + f*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5525 divide 742082505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from lkklpkmiiksmmp.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, -19, -97, -215, -379, -595?\nAnswer: -869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*n, 162*l + 9 = 163*l - 4*n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6416 and 3622634?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 - 2*r**2 + 2*r - 1. Let n be a(-2). Solve 0 = 2*f + 2*o + 4, 2*f + 3*o - 6 = n*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -6. Let d be 62\/s + 1\/(-3). Let n = -4 + d. Solve 0*c = 2*c + n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 357\/4, 2824?\nAnswer: 2824","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 115 - 112. Solve z*b - 22 = 4*u, 3*u + 9 + 5 = b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2154281719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/4 + (-205615)\/(-164).\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1491\/(-27) - 26\/(-234)*2)\/(-1)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -48.45 and 5?\nAnswer: -242.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/7)*y\/(y**(2\/7)*y)*(y\/(y*((y\/y**(2\/5)*y)\/y)\/y))\/(y**3\/y*y) assuming y is positive.\nAnswer: y**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*o = 38*o + 6. Sort 1, 15, -5, o.\nAnswer: -5, o, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4400)\/(-6))\/((-1)\/3). Round o to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8743.154ug to tonnes.\nAnswer: 0.000000008743154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 272?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101011 + 0?\nAnswer: -1101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 minus 6.5589?\nAnswer: 6.4411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 31613466 (base 7) to base 14\nAnswer: 5014a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 0.2. Which is smaller: 2\/9 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -h - 299, 437 = -5*h - 5*r - 1088. Let d = h - -485. Is d a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.3 (c) -0.329 (d) 1\/2 (e) 2\/13 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/15*5)\/((3\/(-2))\/((-672)\/(-7))).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*a - 121 - 113 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32366712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o + 4*w - 148 = 7*o - 10*o, -3*o - 27 = w for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**5\/30 - b**4\/6 + 2*b**3\/3 - 2*b**2. Let s = -1 + 5. Is g(s) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11689\/17 + 688. Suppose d - 17 = -6*t + 2*t, -d = -1. What is the common denominator of 162\/(-60) - 6\/t and s?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 15*x + 546348. Let c(u) = 47*u. Determine c(q(y)).\nAnswer: 705*y + 25678356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8*c**2 - 167*c + 271. Give k(19).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmdd when four letters picked without replacement from edemeeeedddeee?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from vvvyvvvvvyv.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2502357727 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 0, 293.\nAnswer: 0, 1, 3, 293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/6 + 101*c\/3 + 67\/2.\nAnswer: (c + 1)*(c + 201)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -2*n**3\/3 + 21. Let p(m) = 2*m. Give p(q(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 261.3 + -304. Let u = -49 + 86. Let v = l + u. What is v rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/(-1265))\/((-1)\/(-5))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -201.2.\nAnswer: 402.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -15. Let w = r + 44. Solve -8*h + z + 10 = -3*h, 3*z + w = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*f**2 - 17*f**3 - 23*f**3 - 2 - 15*f**3 wrt f.\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2251337 and 1721060.\nAnswer: -530277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 400208 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 6362?\nAnswer: 12\/3181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - 10\/(-6)*49\/((-2450)\/(-180)). Let o(b) = -1 + 2 - 1 + 1 + 31*b. Let r be o(2). What is the highest common factor of r and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26945 is divided by 6584?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -92 divided by -46\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 25127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0 (c) -27 (d) 4\/7 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1568*q**2 - 17303*q - 3*q**3 - 1568*q**2 + 17303*q.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - ((-12)\/15 - (-8)\/10). Let t be (58\/(-20) - -6) + r + -2. Let g be -1 - -2 - (-14)\/(-8). Sort g, t, 2.\nAnswer: g, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2\/13 + 3036\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -65*22\/143?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -61 - (10 + -16 + -92)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = 26*r + 20 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 1. Let g(c) = -12*c**3 - 5*c**2 + 4. Let u(j) = -g(j) + 5*y(j). Differentiate u(t) wrt t.\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185, -359, -523, -671, -797, -895?\nAnswer: -959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**7\/3360 + q**6\/1440 - q**5\/480 - q**4\/96 - 11*q**3\/6 + 13*q**2. Let r(s) be the first derivative of u(s). Factor r(z).\nAnswer: (z - 1)*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2. Let r(b) = -63221894*b. Let o(x) = -18072*x. Let v(z) = -24488*o(z) + 7*r(z). Give v(p(u)).\nAnswer: -6122*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/260 and -53\/160.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (-18)\/10*(-2970)\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (85 - 103)*4\/(-18) and 1696?\nAnswer: 1696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 5:46 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - 0) + (-56)\/(-14). Let f = 1.3 + -6.3. Sort -1, f, s in increasing order.\nAnswer: f, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -14 + 1065 + (-1 - -5)?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -212 - -368. Let p be s\/(-240) + 2\/8. Let u be 0*2\/(-8)*1. Which is the nearest to u? (a) p (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*i - 32, -2*i + 4*i + 5*f - 23 = 0. Suppose -i*n = 27*n - 372. What is the greatest common divisor of 36 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -10. Let t = w + 13. What is the second biggest value in 4, t, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z + 6*z - 1 - 4*z**2 + z - 3*z to the form h + l*z + m*z**2 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -768 - -789. Solve -t*h - 6 = -19*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 437984682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330*t**3 - 79*t**3 - 197*t**3.\nAnswer: 54*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 - 3*s + 1. What is w(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -111, -3, 14, -4, 27, -2 in descending order.\nAnswer: 27, 14, 3, -2, -3, -4, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.32 - -8.2741. Let i = -0.13 + 0.085. Let c = i - s. What is c rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + -7 + -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 1\/60*d**5 + 0 - 2*d**2 + 1\/8*d**4 + 0*d + 2\/3*d**3. Is n(-3) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155052.9 meters to centimeters.\nAnswer: 15505290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-2 + -2 - -3) - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.08 and 412376?\nAnswer: 412375.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 1 - 0) + -2 + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/560 and 61\/7280?\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7879 + 0.79. Round d to four dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.14*-219\nAnswer: 30.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(176) + sqrt(11))**2 - (6*sqrt(44)\/sqrt(4))**2.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 20*z + 37*z + 15*z)*(-z**2 - 5*z**2 - 2*z**2)*(2 - 1 - 2) as d*z**2 + s*z**3 + k + v*z and give s.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6453 = 5*c, 0 = 4*o + 4*c - 3830 - 4782. Is o a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 1157 = -3*b + 4*o + 1265, -2*b = -5*o - 69 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -5, 3, -3, 1\/24, 0.8097 in descending order.\nAnswer: 3, 0.8097, 0.2, 1\/24, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004827 rounded to 4 decimal places?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335058*v + 334617*v = -41895 for v.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3 + 5 - 110*b**2 + 26*b**2.\nAnswer: -84*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 195055 divided by -39011\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/5566 and 5\/3550096?\nAnswer: 39051056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11542, -11560, -11580, -11602, -11626?\n\"Answer: -s**2 - 15*s - 11526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 10*s**2. Let c(q) be the first derivative of -q**3 + 8. Calculate p(c(f)).\nAnswer: 90*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d - 8. Let o(f) = f**2 + 72*f + 462. Let w be o(-65). Give q(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -553*x**4 + x + 2169 wrt x?\nAnswer: -6636*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(4)*6 - 1*(sqrt(3) + 0).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 16*b**2 + b + 6. Determine m(16).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172834, 345671, 518508, 691345, 864182, 1037019?\nAnswer: 1209856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -209, -214, -265, -386, -601?\n\"Answer: -4*f**3 + f**2 + 20*f - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -138*x - 1. Let w(r) = -17*r. Give -6*i(u) + 50*w(u).\nAnswer: -22*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91\/(-39)*(-35)\/(735\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -133\/726 + 2\/121. Let y = -7 + 7. Which is the smallest value? (a) i (b) -2\/9 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 - 26*w + 16. Let z be t(-12). Let p = -30 + z. Solve a + 3*a = -2*i - 20, 5*a - 5*i + p = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -5*w**4 + 330*w**3 + 6900*w**2 + 12790*w + 6225 = 0?\nAnswer: -15, -1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 - 2)*(4*h - 4*h - 2*h) - 1238 + 1238 + 882*h)*(1 + 3 - 7)*(-4 + 0 + 1).\nAnswer: 7974*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -5*r + 350. Let q be (-34)\/(-72) + (-12)\/r. Which is the closest to q? (a) -1 (b) -4 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 7*u - 4. Suppose 0*k - 3*p + 2 = k, 2*k + 5*p = 6. Let n be i(k). Let x be (-2)\/n + (3 - 75\/33). Is x >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -5 - -2) + (-5 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -396*x - 253. What are the prime factors of y(-14)?\nAnswer: 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 9*d = -552. Let m = d - 82. Let r(f) = f**3 - 9*f**2 - 11*f + 6. What is r(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 3\/8, 5, -855?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 337088 and 15448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 7. Suppose -2*u + c + 1 = 0. Find z, given that 3 + 8*z - 7*z**u + 5*z**2 - 11 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4 + 2304*a**3 - 117623*a**2 + 1169256*a - 1053936 = 0.\nAnswer: 1, 12, 39, 2252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 54843666061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/10)\/(((296\/(-240))\/(-37))\/1). What is the second smallest value in 0.08, f, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -5. Suppose -r = -3*l + 99, -w*r + 36 = l - 4. Is 22 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85*y**2 - 83*y**2 - 4 + 586*y - 443*y)*(-y**3 + 0*y**3 + 0*y**3).\nAnswer: -2*y**5 - 143*y**4 + 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - 71*g + 554. Give j(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 3*m - 11 + 30, -2*t + 2*m + 10 = 0. Suppose 4*h + 1 = -2*z + 19, 4 = -t*z. Solve -h*d + d = 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 4:00 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70 + (13 + -1 - (-524 + 555)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.3, -650, 5, 0, -2\/7, 3 in increasing order.\nAnswer: -650, -2\/7, 0, 0.3, 0.5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -4 - 2)\/1. Suppose 2*a = 2*n + 14, -a = 4*n - t + 4. Let x = 12 + n. Solve -5*p - x = -7*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -329 - -281 - (0 + -35) - 84\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 7. Let u(i) = -5*i + 3*i + 7 + 3*i + 1. Let z(v) = -2*k(v) + 3*u(v). Calculate z(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.78 + -6.78. Which is the nearest to 1? (a) -110\/7 (b) 0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 3 = -10*l. Suppose x = 17 - l. What is the highest common factor of 14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8230964 and 3220.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7367178 - -0.4?\nAnswer: 7367178.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 5) in base 8?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 5:16 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*x - 165 = -51*x. What is the third derivative of -191*z**2 + x*z**3 - 52*z**3 + z**4 - 28*z**4 wrt z?\nAnswer: -648*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 7*f**2 + f - 1. Let g be c(7). Let a = g - 6. Suppose a = 2*k - k. Is -1\/4 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1961 is divided by 248?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -111 - 4?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843767115?\nAnswer: 3, 5, 56251141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 172849 greater than or equal to 172850?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-587250)\/9900*(8\/(-6) - (1 - 1)). Does x = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(1\/311)*(-2 - -6). Suppose 9180 - t = 16*b. Calculate the highest common divisor of b and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -313*c**3 - 14*c**2 - 12*c - 6. Let s(b) = -b**3 - b**2 + 3*b + 1. Let g(w) = 4*s(w) + z(w). What is the third derivative of g(o) wrt o?\nAnswer: -1902","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 0*h + 1\/20*h**5 + 1\/3*h**4 - 12*h**2 + 4\/3*h**3 + 0. What is the units digit of o(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.677817km?\nAnswer: 677817000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 23925.\nAnswer: 4785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 6) to base 10.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, x: 1, t: 1, v: 1, b: 1}. Give prob of sequence tx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-473*w - 203*w - 99*w)*(w + 2 + 4 - 5)*(3*w - 2*w - 3*w) in the form s*w**2 + c*w**3 + a + n*w and give c.\nAnswer: 1550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -63495*s**2\/2 - 30*s - 1. Suppose 267*r - 23*r - 2197 = -733. Let f be u(r). What is f rounded to the nearest ten thousand?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12350712622 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, c: 1}. What is prob of picking 2 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.909875 hours in minutes?\nAnswer: 474.5925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5848517 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-2 - (-5 - 0)) + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -201, -631, -1487, -2973, -5293, -8651?\n\"Answer: -34*f**3 - 9*f**2 - 165*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11072.4 times -4\nAnswer: -44289.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21261 and 3549.\nAnswer: 25151763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-152)\/32)\/(-19))\/(-1 + 532\/528). Solve -5*g - 8 = 4*m, 0 = -5*m + y*g - 37*g - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438727 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 298699, 1194837, 2688409, 4779415?\n\"Answer: 298717*s**2 - 13*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 28. Let w(j) = j + 9. Let r(n) = -l(n) - 3*w(n). Let x(v) = 3*v - 2. Calculate -7*r(a) - 5*x(a).\nAnswer: -a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 156731000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 + 2*n + 1. Let w(j) = -6*j**2 - 6*j - 4. What is -10*a(g) - 3*w(g)?\nAnswer: -2*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 x when three letters picked without replacement from {q: 1, x: 2, p: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-4)*(-320)\/192)\/((-6)\/16).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13 * 3.476777.\nAnswer: 0.45198101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 - 23*u - 96 + 91*u.\nAnswer: 68*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1871*l = 3717*l - 1894*l + 2016 for l.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66803841 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 4. Let o be k(0). Suppose -z - 2*r + 5 + o = 0, -3*z - 3*r = -15. Let l be 1*(2\/z - 2). Which is the closest to l? (a) -2 (b) -1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11011000111110011001111 (base 2) to base 16\nAnswer: -6c7ccf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -228 + 4?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/(-8)*(-3)\/(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 1393360423 and 58942.\nAnswer: 1393419365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133 divided by -27165.\nAnswer: 133\/27165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6baa (base 13) to base 3\nAnswer: -202211021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -27, 0, 2, -42, -1 in decreasing order.\nAnswer: 2, 0, -1, -4, -27, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85222269 divided by -16449.\nAnswer: -5181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39195 and 133048935.\nAnswer: 3015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -9628275?\nAnswer: 9628270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*((s**(-4)\/s)\/s*s)\/s)\/(s*s\/(s**(-4)\/s))*s**(-3\/2)*s**(1\/4))**(1\/26) assuming s is positive.\nAnswer: s**(-53\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 58342 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58? (a) -1.16 (b) -1\/2 (c) 116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 8:29 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80818*d + 161625*d - 80773*d.\nAnswer: 34*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 826826, 826831, 826836, 826841, 826846, 826851?\n\"Answer: 5*k + 826821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o - 10*o + 24455 = -151*o - 236*o for o.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*c**3*s**4*y**3 + 93*c**3*s**2*y**3 - 2*c**3*y - c*s**4*y + 2*c*s**2*y**2 wrt s.\nAnswer: 336*c**3*s*y**3 - 24*c*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 18 (b) 0 (c) -0.3 (d) 69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3))**(4\/5)*((r*r**4)\/r)**(-1\/7) assuming r is positive.\nAnswer: r**(-4\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-40)\/3)\/(-5))\/((87024\/(-111))\/(-56)).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39609070?\nAnswer: 2, 5, 29, 73, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q - 5*p + 10 = 0, 3*p - 24 = -3*q. Let o(l) = 33*l**2 - l + 3. Let z be o(-2). What is the units digit of (z\/q)\/(1\/5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 7*p - 5. Let z be b(5). Let l(r) = -6*r - 1. Let s(a) be the second derivative of -2*a**3\/3 - a**2\/2 - 18*a. Determine z*l(d) - 7*s(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 525 and 550830?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 5, 24 in increasing order.\nAnswer: -20, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76299?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -845682785*0.2.\nAnswer: -169136557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 0)*(77 + 3913\/(-52))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42537?\nAnswer: 3, 11, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -129395?\nAnswer: -38818.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12 - -17441)\/29)\/(-17) - -35?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*z**3 + 4112*z - 4025*z - 7*z**4 - 2*z**3 - z**3 wrt z?\nAnswer: -84*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -618 by 3.\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 792*i**2 + 8*i + 5. What is the units digit of c(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1139*w + 3257*w + 18 - 261*w + 15 - 34 as j*w + f and give j.\nAnswer: 4135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*z - 10, z + 2*z = -2*i + 13. Suppose -2*m + i*m = 54. Let g(v) = v**3 - 6*v**2 + 6*v - 1. What is the lowest common multiple of g(5) and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7))**(-11\/2)*j*j\/(j*j\/j**(-34))*j*j**24 assuming j is positive.\nAnswer: j**(59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1174782 divided by 3.\nAnswer: -391594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -373*b**3\/3 - 63*b**2\/2 - 11*b. What is the units digit of p(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-12\/11)\/(((j*j**(-2\/59))\/j*j)\/j)*(j**(-23))**(-40) assuming j is positive.\nAnswer: j**(596394\/649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + (57 - 8) - (1 - -6 - 0) - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18231 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2, -3\/17, 1\/6 in decreasing order.\nAnswer: 0.5, 1\/6, -3\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*13\/208 - (-315)\/(-1764)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 293 + b?\nAnswer: 2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 5*t + 4. Let r be n(-4). Let m be (-8)\/20 + 76\/(-10). Let f be 5\/6*m\/50. Put f, 3, r in increasing order.\nAnswer: f, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 - 49.3. Let w be (-2 + 1)*9\/6. What is the nearest to u in -1\/6, 0, w?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48 - 45) + (-12 - -1) - (7 + (-2 - 88)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 6*g**2 - 2*g - 6. Let o(h) = -h**3 - 5*h**2 - h + 6. Let b be o(-4). Give d(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -950*q**2 + 15*q - 7.\nAnswer: -1900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/2 + (-205)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 49498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6147897 a multiple of 867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 - -38. Suppose 3*p - 7 = 4*k, 0 = -2*p + 3*k - 3 + u. Let y be 12\/42 - (-1 + p). Which is the biggest value? (a) y (b) 4\/5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -122*((-350)\/28 + 5). Calculate the greatest common factor of c and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -305 (base 10) in base 6?\nAnswer: -1225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01248 rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*k + 3*k - 4*k)*(3 - 4 + 3) - 7*k - 8*k + 0*k)*(-6 + 2 + 3) + 0*k + 3*k - 2*k + (-k + 3 - 3)*(-3 + 4 + 1) + k - 5*k + 3*k.\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -5, 2\/395, -24\/55 in ascending order.\nAnswer: -16, -5, -24\/55, 2\/395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203102023 (base 4) to base 5.\nAnswer: 14111043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*v + 71 - 8 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5 = -x + 11, 3*x + 4*p = 46. Calculate the greatest common factor of x and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 - 39. Let x(n) = -n**2 - 5*n + 5. Let k be x(-6). Let v = k - -5\/7. Which is the nearest to 2\/5? (a) v (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + sqrt(3) - (sqrt(3) - (-1*sqrt(36))\/sqrt(12))**2) + -2 - (sqrt(432) + sqrt(432) + -2 + sqrt(432) + (sqrt(3) - sqrt(24)\/sqrt(392)))**2.\nAnswer: -200574\/49 + 1081*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6710 times -0.42?\nAnswer: 2818.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 450806.7493 to the nearest 10.\nAnswer: 450810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10155 = 5*m - 5*d - 7545, -6*m + 4*d = -21232. Is 17 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**26)**4*a**(1\/14)\/a*a*a*a**13*a*a assuming a is positive.\nAnswer: a**(1681\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -0.1 (c) -1\/2 (d) 2 (e) -591\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(0 - (-3 - -2)). Let r be (-3)\/9*-1 - (-1)\/d. Solve -3*k + 8 = -2*q - r, 6 = 3*k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 1122*b - 1. Let r(d) = 2*d**2. Calculate r(g(k)).\nAnswer: 2517768*k**2 - 4488*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen quarters of a meter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 7872.\nAnswer: -11\/3936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 402224 (base 6) in base 4?\nAnswer: 13232020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 + -49.39. Let y = 0.2 + x. Let l = y + 10.19. Which is the third smallest value? (a) 4 (b) -0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 2*i + 1. Let h be c(-1). Let d be -1*h\/(1 + 1). Suppose d*q - 222 = 3*q. What is q rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*h = -23 - 2, 5*o - 25 = 3*h. What is the remainder when o is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/7))**(-6\/11)\/(t\/((t*t**(-1)*t)\/t))**(3\/44))\/((t*t**(2\/11)\/t*t)\/t**(-3\/5))**(-13\/4) assuming t is positive.\nAnswer: t**(823\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*n**4 - 7*n**3*t + 272*n*t - 133468*t + 1 wrt n.\nAnswer: 100*n**3 - 21*n**2*t + 272*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.14 or 6514?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49996 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -378, -1585, -4468, -9873, -18646?\n\"Answer: -141*j**3 + 8*j**2 - 244*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 695\/418 - 39\/38. Let s = 39\/44 - j. Let z = -0.1 - 1.9. What is the nearest to 4 in s, z, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 20601.0269 rounded to the nearest integer?\nAnswer: 20601","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 283189, 2265776, 7647087, 18126484, 35403329?\n\"Answer: 283227*l**3 - 2*l - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(84)*2 + sqrt(84) - sqrt(84)) + -5*(sqrt(84) - (sqrt(84) + 2*sqrt(84))))\/(-5*sqrt(768)*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**3 - 7*l**2 - 14*l + 3. Let m be u(-4). Let p = m - 143. Let h be 2 - 1\/((-1)\/(-4)). Is h != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from deqev. Give prob of sequence qvd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*n + 4*a = 137, -n - 2*a + 43 = 0. Let w be 6\/4*374\/n. Suppose 5*g - 36 + w = 0. Solve j = g*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 9 (b) -2\/23 (c) -3\/4 (d) -101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*r = -2*k + 20, k - 8 = 2*r. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*-2*4\/8. Solve -h = s*h + 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1000022 - -1?\nAnswer: -1000021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14751 and 1980.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -254, -514, -774, -1034?\nAnswer: -1294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8908 divided by -105?\nAnswer: 8908\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 69 = 2*b + 35, -5*b - 4*a + 112 = 0. Calculate the least common multiple of 14 and b.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 1, -4, 3, -5 in ascending order.\nAnswer: -5, -4, 1, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 6 + 9 + -23 + 7 + -118?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 19, -22, -51, -62, -49?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4852895905 + -0.5?\nAnswer: -4852895905.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 z, and 1 w when three letters picked without replacement from rwdhhxrzz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4776128563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, j: 3, a: 1}. Give prob of sequence ax.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**7\/840 - f**5\/40 + f**4\/8 + 3*f**2. Let m(n) be the second derivative of k(n). Differentiate m(o) with respect to o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -6. Suppose 0*s = -2*f + y*s + 16, -2*f = 4*s + 8. Suppose -f*v + 0*v = -20. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 + 35*k**2 - 75*k - 359. What is p(-19)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 956.0871 months in millennia?\nAnswer: 0.079673925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 775.\nAnswer: 5425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.2 - 15. Let y = 3 + l. Let j = 1052 - 1052.4. What is the smallest value in j, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 35 = -3*s + 12, -5*s - f + 65 = 0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/8*24)\/(21\/14) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001811873 rounded to 6 dps?\nAnswer: 0.000181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, 4, -5, 43, -26 in decreasing order.\nAnswer: 93, 43, 4, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**2 + 14*l - 15. Calculate h(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 27*j + 75. Calculate the remainder when p(28) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16414)\/(-5094)*9*-1.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/2047? (a) -1.95 (b) 0.4 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -537 + -7?\nAnswer: -53e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-170)\/(-3)*58110\/650?\nAnswer: 2, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1195 + 72 - 5*h**2 + 80 - 1347.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(-2)*24\/(-42). Let a(r) = 2*r + 2*r - p*r. Let f(c) = 4*c + 3*c - 3*c - 3*c. What is f(a(w))?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = t + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - p**2 + (0 - 2*p + 0)*(0*p - 2*p + 3*p) + p**2 - 4*p**2 + p**2 - p**2 + p**2 - p**2 + (-9*p**2 - 35*p + 35*p)*(1 + 1 + 2).\nAnswer: -42*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 90086268 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 r when four letters picked without replacement from {m: 2, r: 3, x: 3, o: 7}?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7876.65 rounded to the nearest 100?\nAnswer: -7900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.15, 4 in ascending order.\nAnswer: -0.2, 0.15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**3 - 6*x**2 + 6*x + 8. Let w be (110\/(-88))\/((-4)\/16) + 0. Let y(n) = -2*n**3 - 5*n**2 + 5*n + 7. Determine w*l(u) - 6*y(u).\nAnswer: -3*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-4))\/(54 + (-1442)\/28).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 5*h - 2 = 0. Let w(u) = 3*u**2 + 2*u + 4. Let i(c) = -c**2 - c - 1. Let t(a) = -2*i(a) - w(a). Give t(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (501\/1670*(-16)\/(-3))\/(1\/(5\/(-26))).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 15 - u - 2*u - 6*u + 0*u. Let w(c) = -5*c + 8. Suppose 5*a + 16 + 39 = 0. Determine a*w(q) + 6*v(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.9894422 centuries?\nAnswer: 9.894422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**6\/180 - 16*o**3\/3 - 16*o**2. Let a(n) be the first derivative of l(n). Let z(i) = -3*i + i**2 + 3*i. What is a(z(m))?\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/65*2\/4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -152 + 2\/9*o**2 - 2\/9*o**4 - 16\/27*o**3 + 8\/9*o + 2\/27*o**6 + 8\/45*o**5. Find q such that x(q) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 92, -0.1, 1\/4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 - 7493*j + 3*j**2 + 7494*j. Let u(c) = 4*c**3 + 20*c**2 + 20*c. Calculate -20*o(i) + u(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1061*m**2*t**3 + 5*m**2 + 5*m*t + 2341*t**3 wrt m?\nAnswer: 2122*t**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180940429?\nAnswer: 269, 672641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 - 0. What is the highest common factor of 84 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116449381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/13, 0.1, -9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211442 is divided by 4105?\nAnswer: 2087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -18 + (4 - 8) + 4 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 14*n + 42. Let i be v(10). Let t(k) = 0*k + 0*k + 71*k**2 - 70*k**i. Let c(m) be the third derivative of 3*m**4\/4 + 2*m**2. Determine t(c(p)).\nAnswer: 324*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.24024 litres?\nAnswer: 9240.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010010100000001001011 (base 2) to base 11.\nAnswer: 1587149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 958815 to the power of 1\/2, to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -475940 by 530.\nAnswer: -898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p**(1\/10)\/p)*p)*p\/p**1)\/(p**2*p)**31*((((p*p*p\/(p**(-2\/9)\/p*p))\/p)\/p*p)\/(p**(-9)\/p))\/(p**(-2\/3))**(-46) assuming p is positive.\nAnswer: p**(-10201\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**3\/3 - 175*a**2\/3 + 1268*a\/3 - 364 = 0.\nAnswer: -182, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7715363*r**3 + 15430729*r**3 - 7715364*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**3 + 4*c**2 + 6*c. Let h be n(2). Suppose h*l - 239592 = 4*t, 0 = 3*t - 2*t - 2. Round l to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/11, -5\/698, -586 in descending order.\nAnswer: 4\/11, -5\/698, -586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 + 93*d**3 + 273*d**2 + 271*d + 90.\nAnswer: (d + 1)**3*(d + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**4\/24 - o**3\/6 - 3*o**2 - 1. Let g(i) = i. Calculate -2*g(s) - h(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 612, 871, 1130, 1389, 1648?\nAnswer: 1907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 plus 10?\nAnswer: 11.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 582491033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/13, 4, -1\/47?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5727863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31328 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 101 - 21 + 58)*(-2*b + 4*b + 8*b) to c*b + r and give c.\nAnswer: 1410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**2 - 3956*r - 1127301. Give f(1220).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/5, -1\/3, -4, 4\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23726590.\nAnswer: 2, 5, 2372659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3533 + 5304. Suppose 3*f - 3*c = c + 1775, -u = -3*f + 2*c. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 + -0.36. Let l = 1017.2 + -1017. Which is the closest to 1? (a) y (b) l (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/4218908 and -53\/2087013.\nAnswer: 392358444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -5*u**2\/2 + 26*u + 14. Let t be x(5). Suppose w - 2*w - t = -z, z - 3*w - 5 = 0. Is z at most as big as -1\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g + 2. Let z(t) = -4*t - 1. Let d(v) = 5*l(v) + 4*z(v). Suppose a = -4*x - a - 22, a = -5. Let c be (-7)\/(2 + -3) + x. Calculate d(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11614554 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9191 and 4368?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7983?\nAnswer: 3, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 54*f + 1203. Calculate v(-23).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 5*n - 165. Let m = -22 + n. Suppose 3*q - 292 = 2*a - 2*q, -m*q = a + 157. What is a rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/11, 3, -0.1074, 18 in decreasing order.\nAnswer: 18, 3, -0.1074, -5\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 589*u**3 + 10*u**2 + 40 wrt u?\nAnswer: 3534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 110080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 192021 or 5952638\/31?\nAnswer: 5952638\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76334326 is divided by 5885.\nAnswer: 5876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 29.462*-8\nAnswer: -235.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222, 446, 670?\nAnswer: 894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2073.674 - -2072. Let k = t - -1.68487. What is k rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 2, -9 in ascending order.\nAnswer: -21, -9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1281 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*w - 288, -4*w + 9*w + 316 = 4*g. Calculate the greatest common divisor of 1739 and g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 6:57 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**3 + 8*z**2 - 9*z + 1. Determine l(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1447 - 690. Let k = -740 + o. Calculate the greatest common divisor of 221 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 201 - 32526?\nAnswer: -32325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/1121 and 13\/5168.\nAnswer: 304912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 34\/5 of a century?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 270 (c) -2\/5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18 + 2)*5\/2. Suppose -3*r + k = 2. Suppose -4*u + 4 = -4*c, 3*c - 7 = 8. Calculate the remainder when r is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*p + 2*p - 158, -5*b + 86 = 2*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i - 10. Determine o(26).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 332 - 11?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25131 + -25130. Is o bigger than -3\/496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 11*x - 10 = 0. Let w(o) = o**2 + 6*o - 3. Suppose 3*t + 4 + 14 = 0. Let l be w(t). Sort 3, x, l in descending order.\nAnswer: 3, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59268236 divided by 2.\nAnswer: 29634118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -11*h - 7363. Calculate r(-672).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8847 is divided by 1765?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + 0 - 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0764289 rounded to one decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 751752\/1592968 + 6\/(-13). What is the closest to 1\/3 in -2, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/434444 and -1\/760277?\nAnswer: 3041108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, x: 2, l: 1, y: 2, d: 2}. What is prob of picking 2 y, 1 d, and 1 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6480428239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -1\/8*w**4 + 1\/6*w**3 + 15*w + 6*w**2 + 0. Let a(h) be the first derivative of g(h). What is a(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/3)\/(1\/(-12)). Let y(n) = n**2 - n. Let o(w) = -5*w**2 + 5*w - 2. Let f(d) = o(d) + 6*y(d). What are the prime factors of f(g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23076145 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 10)*28\/(-77).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3560 by 178.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4*r**2\/7 + 2944104*r\/7 + 73605100\/7 = 0.\nAnswer: -25, 736051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 3) to base 7\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 a factor of 16776223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w + 6. Let x be p(-4). Let v = -0.84 - 0.16. Let t = 13.3 + -13. Sort t, v, x in decreasing order.\nAnswer: t, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.023 + -2.777. Let y = u - -9.3. Let b = -2.5 + y. Put 5, b, -10 in increasing order.\nAnswer: -10, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/(h*h**5\/h))*h\/h**6*h*(h\/(h\/(h**1\/h)*h*h))**(-36) assuming h is positive.\nAnswer: h**73","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 9*x**2 + 8*x + 7. Let y be r(10). Let p = y - -18. Solve p*o + 4 - 29 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 40*z + 93 = 49*z + 22*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(6)\/sqrt(2) + sqrt(3) + sqrt(3))*5.\nAnswer: -45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(10\/8 - 2). Let y(v) = v**2 - 3*v + 1. Calculate y(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*((sqrt(91) + -3*-2*sqrt(91))*5)\/(sqrt(112) - (sqrt(112) - (sqrt(112) + -4*sqrt(112)*2))))**2.\nAnswer: 325\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 230 + -235. Which is the fourth smallest value? (a) j (b) 2\/11 (c) -47\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 1 + sqrt(637) - (-1 + sqrt(637))*6)*4)**2.\nAnswer: -2240*sqrt(13) + 254864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 86236, 86217, 86182, 86131, 86064, 85981?\n\"Answer: -8*u**2 + 5*u + 86239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4 - 2. Sort 4, 3, x, 9 in increasing order.\nAnswer: x, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*r = -0*k - 35, 3*k + 6 = 2*r. Let j be (-16)\/(-10) - (-8)\/k. What is the closest to 1 in -1\/9, j, -1\/3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 1\/6 (c) 4\/5 (d) 18.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 - 16*s**2 + 15*s + 12. Determine i(-6).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 18. Suppose 5*t - 3*t - 198 = -3*d, -x*t - 308 = -5*d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1400*i**3 - 35*i**2 + 70246.\nAnswer: 4200*i**2 - 70*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*p - 1 + (-2 + 4 - 1)*(-1 + 2*p + 1) - 2*p + 5*p - p + 3*p - 50 - p + 48.\nAnswer: 8*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 8 + (-4 - 0) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 + 244*p**2 - 5106*p - 152352.\nAnswer: -2*(p - 69)**2*(p + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 2)\/(2\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26237922 divided by 6?\nAnswer: -4372987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 1099*p + 11148. Give a(-10).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 3942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5, -4*c = -4*j + 2*j - 2. Suppose 4*b + 2*q = 18, -2*b = 2*b + c*q - 21. Solve -9 - 6 = -b*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -6)\/((-12)\/(-9)). Solve -h + 1 = -u for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 164.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m. Suppose -9*c + 223 = 70. Let x(n) = 11*n - 13*n + c*n - n + 17*n. Calculate k(x(j)).\nAnswer: -62*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7983 and 9361398?\nAnswer: 28084194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.1866814 to zero dps.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 + -10 + 4 + 4. Suppose 4*z - 2*u - 16 = 0, -12 = -b*z + 4*u + 14. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(11\/((-605)\/253) - -5)\/((-160)\/(-25))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 95, 96, 97, 98, 99, 100?\n\"Answer: j + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**3 - 419*g**2*v**2 - 38880*g*p + 24*p*v**2 + 50*p*v + p + v**2 - 3*v wrt g?\nAnswer: -6*g**2 - 838*g*v**2 - 38880*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 - 2*i**3 + 2*i**4 + 0*i**3 + 1 - i - 3*i**2 + i**3 in the form h + u*i**4 + n*i**2 + x*i**3 + w*i and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (260\/(-65))\/(-15*(-6)\/21) and ((-94)\/(-6))\/(0 - -11).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 - ((-51 - -62) + -5)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**6\/120 - a**5\/4 - 5*a**4\/12 + 29*a**3\/3 - 127*a**2. Let d be h(-14). Solve 4*k = d*x, -x + 4*k + k = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**5 - 2*t**4 - t**3 + t - 1. Let j(s) = 2282*s**5 + 4*s**4 + 2*s**3 + 7*s - 13. Let w(n) = j(n) + 2*x(n). Find the second derivative of w(l) wrt l.\nAnswer: 45600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1272968 and -155\/954726.\nAnswer: 3818904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -276, -202, -114, -6, 128?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -512335110 + -2?\nAnswer: -512335112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 3 - 4 - (-3 - (2 - 2))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/3191969 and 79\/43461.\nAnswer: 28727721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21379379.\nAnswer: 7, 3054197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - d - 2136 = -21629, -t = 5*d - 3889. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19547*l*z**2 + 1387*l + 322*z**2 + 897*z - 1 wrt z.\nAnswer: 39094*l + 644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*c**2\/8 - 41*c\/4 - 3.\nAnswer: (c - 12)*(7*c + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 2 = -u - 5*o, 3*u = -5*o + 3. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**5 + 2*k**5 + 3878*k - 3865*k)*((2 - 1 + 1)*(-13 + 3 + 2) + 1 + 1 + 0).\nAnswer: 14*k**5 - 182*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**6\/1260 + l**4\/84 + l**3\/2 + l**2. Let i(x) be the first derivative of t(x). Determine c, given that i(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven eighths of a second?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 4)*(-302*g + 447*g + 905*g) - 3*g - 3*g + 5*g.\nAnswer: -3151*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 1:17 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iuiiiuiu. Give prob of sequence uuiu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - r = -0*r - 5, 5*r + 44 - 33 = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 1. Let a(k) = 25429 - 12721 - 12709 + k**2 + 12*k**3. What is a(c)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 322 - 176. Calculate the smallest common multiple of (2\/(-44)*-32)\/(4\/44) and g.\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 791 is divided by 115.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -357 - -510. Suppose c - 858 = -5*w, -495 = -2*w - c - d. Is 24 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.2 - -101.3. Let f = v + -109. Let j = 123 - 126. What is the nearest to -1 in f, 8, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*t - 26*t + 8. Let l be (-19240)\/55 - t\/(-44)*-4. Let w = -179 - l. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2\/(-4))*(413\/(-35) + 13).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4 - 2 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)\/(sqrt(12)*2) + (sqrt(525)*2 - sqrt(525)) + sqrt(21))\/(-2*sqrt(847) - sqrt(847) - (sqrt(7) - sqrt(1008)*1)))**2*-6.\nAnswer: -1521\/968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 7*z**2 - 54*z + 45. Calculate y(11).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -22 - -28 - 1) + -24.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.28595 rounded to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67*n**4 - n - 2530.\nAnswer: 268*n**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13893, -1, -5.\nAnswer: -5, -1, 13893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 5:55 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(704) - (-3 + sqrt(704) + 2)) + 1*(-2*sqrt(704) + sqrt(704)) + sqrt(704))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4*n + 20, 4*n + 3 - 18 = -3*u. Suppose -3*a = -4*f - 6 - 12, n = 2*f. Do a and 11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/(-4) + 2)*2*2. Suppose 0*q + 5*q + 10 = -3*a, 0 = g*a + 4*q + 5. Find the second derivative of -4*n**3 - a*n**3 - 575*n + 546*n wrt n.\nAnswer: -54*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -21*i**3 + 84*i**2 + 84*i. Let d(v) = v**2 + v. Determine -84*d(l) + w(l).\nAnswer: -21*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 4*l - 3*l)*(2*l**2 + 3*l**2 - 7*l**2)*(47*l**2 - 410 + 410).\nAnswer: 94*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*f + 3*f + 91*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 7*m + 11. Let a be x(-6). Suppose h - 4*l = a - 27, -23 = 4*h - 3*l. Is h\/((-8138)\/(-2714) + -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 6*f**2 - 7*f + 4. Let d be x(-7). Suppose -3*k - d*k + 7 = 0. Sort 3, -0.2, k in ascending order.\nAnswer: -0.2, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -11*x - 11. Let v(k) be the second derivative of -k + 0 - 5\/6*k**3 - 5\/2*k**2. Determine -6*p(f) + 13*v(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2. Suppose -f = 3*x + 2*x - 27, -2*f + 29 = 5*x. Let w(s) = -s + f*s + 119 + 20*s**2 - 119. Calculate u(w(z)).\nAnswer: 400*z**4 + 40*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(60\/48 - (-21)\/(-20)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517 is divided by ((-3)\/((-9)\/2 - -3))\/(28\/3416)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + y**2 - 3*y - 6. Let l be b(-2). Let d(o) = -8*o**3 + 7*o**2 + 17*o + 14. Is 10 a factor of d(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-238 + 65 - 436)*(8 - 13 - 6*a**5 + 3).\nAnswer: 3654*a**5 + 1218","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*o = 257*o + 336. Let i(b) = b**2 + 3*b - 25. Calculate i(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 2*p - 4 = 0, 4*w + 3940 - 3934 = -3*p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2446 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -7.97845\nAnswer: 2.393535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a week in hours?\nAnswer: 1568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -9*l + 1155. What is the greatest common divisor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2\/4 - 6419*d\/2 + 2952350 = 0?\nAnswer: -13700, 862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixteen fifteenths of a day?\nAnswer: 92160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (67 - 65) + 1 + (0 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 8. Suppose -2*m + c*m + 30 = 0. What is the common denominator of 323\/80 + 6\/m and -99\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 4:18 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r = 46135 - 48025 for r.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**3 + 4*z**2 - 1. Let x(l) = 12*l**3 - 16*l**2 + 3. Determine -9*m(k) - 2*x(k).\nAnswer: 3*k**3 - 4*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13445 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 78823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5\/12 + 2\/3. Let f(m) = m**2 - 5*m - 6. Let l be f(6). Suppose l = 6*x - 3*x. Which is smaller: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.332 - 28.132. Let c = r - -28. Let d = -0.1952 + c. Round d to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -21 + 13526 - (0 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 9\/2*a**2 + 1\/3*a**3 - 5*a - 175. Calculate k(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -813 + 798 - (0 + 4 + -2)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*s**3 - 61*s**2 - 2 + 61*s**2 to the form v*s**3 + k + a*s**2 + n*s and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5 + 12 = 4*t. Is 1\/36 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 67 - 18 = 0. What is the remainder when 31 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/10, 2, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 0 + 2 + -6. Let y(k) = -9*k. Let a be y(-6). Let i = s + a. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**3 - 11. Suppose -k - b + 16 = 0, -b - 24 = -4*k + 3*b. Let j(u) be the first derivative of u**4\/4 + 4*u + 4. Calculate k*j(s) + 4*h(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 204 + -136. Let n(h) be the second derivative of h**5\/20 + h**4\/6 - 23*h**3\/6 - 17*h**2\/2 + 2*h - 29. What is the remainder when c is divided by n(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 1442*p**3 - 3*p**2 + 7*p - 39. Is t(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -15*c - 5. Let i(j) be the second derivative of -j**3\/6 - j**2\/2 - 16*j. Calculate 5*i(a) - t(a).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7f5 (base 16) in base 3?\nAnswer: -2210110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 568\/28 - (-4)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -5*u - 70, -h - 10*u + 1144 = 1257 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 472.777 rounded to the nearest ten?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 0.3. Let q = 0.5474 - -0.0526. Which is the closest to j? (a) 0.4 (b) q (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**2 - 6*h + 1\/20*h**5 + 0 + 0*h**3 + 0*h**4. Let f(l) be the first derivative of m(l). Let t(r) = 2*r. Determine t(f(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 8878 = 1552. Let z = 2957 - p. Suppose 3*k - t - 566 = 0, 3*k - z = 3*t - 295. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v + 7*v + 10*v + 2*v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -10*a + 4 - 7. Solve -4*w = -55*q + 54*q - 9, 2*w - 4*q = a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 9*a - 8. Let i be s(-8). Suppose i = -3*r + 6. Let d(b) = r*b + b + 2*b - 7*b. Let m(h) = 2*h**2. Give m(d(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002283 rounded to four dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 20*m - 93. Let z be x(-11). Let b be (65 + -7)*3\/z. What is the highest common divisor of b and 725?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 32*c**3\/3 + 5*c**2\/2 - 8*c - 1. Let v be q(-8). Round v to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.42 + 0.02. Let b = -147.7 + 145.7. Sort b, m, 1 in ascending order.\nAnswer: b, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -16*w**2. Let i(s) = 5*s - 2. Let c(k) = k - 1. Let t(r) = 2*c(r) - i(r). Determine n(t(p)).\nAnswer: -144*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-18))\/((-4)\/18)*-8. Suppose 0 = -l*d + 23*d + 5. Solve d*c - 23 = 4*t, 5*t + 0 = 5*c - 25 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.12 - -16.72. Which is the fourth smallest value? (a) l (b) -29\/15 (c) 1\/9 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from qoqqqqqqt?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-21)*14\/4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1608914 is divided by 964?\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -130 + c + c**2 + 133 + 0*c**2. Let m(q) = -2*q**2 - 2*q - 4. Suppose 0 = 3*n - 20 + 8. Determine n*y(r) + 3*m(r).\nAnswer: -2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k - 2. Suppose 6 = 4*c + 18. Calculate the remainder when 38 is divided by t(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -60*r + 129. Let z be u(-21). Suppose -4*x - 15*j + 10*j = -z, -1018 = -3*x + j. List the prime factors of x.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, g: 2, d: 1, p: 10}. What is prob of picking 2 p, 1 d, and 1 r?\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-2*sqrt(64) - sqrt(64) - sqrt(64))\/sqrt(4))\/(sqrt(600)\/sqrt(3)*-6))**2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 - 3*l**2 - l + 2. Let i be c(-3). What is i rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, 3, 2, 112.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3352 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -175988, -169590, -163190, -156788, -150384, -143978?\n\"Answer: m**2 + 6395*m - 182384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 1:17 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -113.7021113 to 1 dp.\nAnswer: -113.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 132137 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**4\/6 + 76*h. Let m = -1 - -1. Let a(s) = s**2 + s**2 + m*s**2. Give a(t(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/3 - 58223*g**3\/3 + 8861301*g**2 - 1353391335*g + 68962071276.\nAnswer: (g - 57764)*(g - 153)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**5\/60 - m**4\/12 + 21*m**3\/2 - 3*m**2. Let r be d(0). What is the greatest common divisor of r and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 1001 = -4*q. Let f = q + -72. Which is the closest to 1? (a) f (b) -5\/2 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2998 is divided by 73?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 44*n**2 + 12*n - 6. Let a(k) = 81*k**2 + 22*k - 11. Let g(v) = 6*a(v) - 11*l(v). Let q(s) = -13054*s. Determine q(g(h)).\nAnswer: -26108*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 - (-1 - 83) - 16.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 40 = -10*f + 6*f, -4*f = -3*v - 28 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5616 and 58680.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 2. Let t be f(4). Find the third derivative of -4*a**3 - 2*a**3 + 2*a**2 + t*a**3 + a**3 wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(176) + (1*(-2 + sqrt(176)) - sqrt(176)))**2.\nAnswer: -80*sqrt(11) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(403\/(-39) - ((-105)\/7 + 5))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/14)\/((-114)\/(-399))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1221 by 3.\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -622, -1335, -2100, -2935, -3858, -4887, -6040, -7335?\n\"Answer: -3*u**3 - 8*u**2 - 668*u + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 3.42.\nAnswer: 27.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 651710770918 from 5.\nAnswer: -651710770913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(24\/(-9)*(-30)\/(-8))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1416 = 45*y + 1371 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*o, -w - 230 = -4*w + o. Let q = w - 60. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 4*p**2 + 2*p + 4. Let l be q(-3). Suppose 12 = 4*d + 2*y, 5*d - 2*d + 2*y - l = 0. Solve -h + 11 = -2*o, 10 = d*h + 2*o + 3*o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 - 1010001?\nAnswer: -1000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, p: 4, z: 5}. What is prob of picking 2 p?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k**4 - 1102*k**3\/3 - 21394*k**2\/3 - 128450*k\/3 - 27500\/3 = 0. Calculate k.\nAnswer: -25, -11, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -188, 3 in decreasing order.\nAnswer: 3, -0.5, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 450617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gdeb when four letters picked without replacement from {f: 2, b: 4, d: 1, e: 1, g: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1175, -1194, -1217, -1244?\n\"Answer: -2*p**2 - 13*p - 1160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -j**2 + 44. Suppose -4*h - 5*s = 2, -3*h - 4*s = -9*s - 16. Let r(k) = k**h + 6*k**2 - 4*k**2. Determine r(u(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 2. Let h(d) = 5278. Calculate -h(m) - 2*i(m).\nAnswer: -2*m - 5282","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4364.605 - 4348. Let v = t + -17.5. Round v to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -2) + -4 + -20 + 7 + 17 + -14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**0*s)**42)**(-11)*(s\/(s*s**(1\/6)))\/(s\/(s**(5\/2)*s))*(s*s**(-1\/4))**(13\/2) assuming s is positive.\nAnswer: s**(-22003\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 272 = 6*b. Calculate the remainder when (-18)\/81 + b\/(-9) is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*g**5 - 19*g**5 - 37*g**5 + (1 + 2*g - 1)*(4*g**4 - 3*g**4 + 2*g**4).\nAnswer: -37*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.6 - 14.6. What is the closest to 2\/5 in f, -0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 5*x**2 + 4. Let a = 13 - 8. List the prime factors of o(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57421188 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 + 66. Let f(s) = -6*s**3 + s**2 + 3*s + 2. Let a be f(3). Let j be a\/(-7) - (-4)\/(-14). What is the greatest common factor of j and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z - 21. Let j(d) be the first derivative of d**2\/2 + d + 11685. Calculate -2*j(x) - w(x).\nAnswer: 2*x + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 2*s = -32, -53*s - 10 = 5*u - 58*s for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 6*l - 5. Let c be s(5). Suppose c*i = -3*i. Suppose o - 1 = -i*o. Solve -u = 6 - o for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2))\/((-7)\/56). Solve b + 4 = 3*b + 3*p, p = w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 53 = 329. Is t <= -69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 171599269 by 2531.\nAnswer: 67799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45166, 45185, 45204?\nAnswer: 45223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: -110110011001 (base 2) to base 4\nAnswer: -312121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 21 + 39 = 0. Let g = -12 - y. Is g not equal to -1\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - j + 113. Let f be x(10). Suppose 0 + 1\/6*t**f - 5\/6*t**2 + 1\/2*t + 1\/6*t**4 = 0. What is t?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 6:35 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 4*q + 4. Let z be l(5). Let m(y) = -4*y - 1 + 9*y**3 - 21*y**3 - 6 + 10*y**2 + 11*y**3. Is m(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2937227 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/(-6))\/(2\/(-4)). Suppose -r*n + g = n - 43, 2*g = -3*n + 24. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5024 (base 9) to base 6.\nAnswer: -24551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/19 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -122 + 426. Let w = g - 300. Suppose 0*z + 0*z**2 + 2\/7*z**w - 2\/7*z**3 + 0 = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68 + 90. Calculate the remainder when 0\/(1*-2) - -85 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -3\/2, -667\/5, 5, -3, 2.\nAnswer: -667\/5, -3, -3\/2, 0.6, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50977824*u**2 + 15174630*u wrt u?\nAnswer: 101955648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 2) + -6 + -22 + 19?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 p, and 1 h when three letters picked without replacement from {p: 2, i: 12, h: 4, o: 2}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 8*w + 24. Let b(g) be the first derivative of 5*g - 16*g + 8*g - 5*g**2 - 11 - 12. What is b(w)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 1)*(5*g - 3*g - 3*g) - g + 0 + 0 + (-g + 4*g - 4*g)*(-3 - 2 + 4) - 4*g - 3*g + 5*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 q, and 1 d when three letters picked without replacement from dqpppdqdpgppppd?\nAnswer: 64\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1432 + 1388 = -12*s. Let c = 238 + s. Solve 5*n - c*q - q = -20, 2*q = 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-20532\nAnswer: 61596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from glqlgqqdlqlgl?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241409834?\nAnswer: 2, 31, 3893707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 188589123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*t + 5*a, 0 = 5*a + 15 + 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 8*y**2 + 6*y + 10. Let u be o(7). Let w = 3 - u. Let x = w - 1. Which is smaller: 4\/15 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519733931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 3:01 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 522 and 1682?\nAnswer: 15138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 762, 763, 766, 771, 778?\nAnswer: 787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2304.4 to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 123461 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1302 - -2699. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4120 by 824.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 c, and 1 n when three letters picked without replacement from nnnmmmnmnwcwwnm?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 6*n**2 - 5. Let o be r(7). Let i = 90 + o. Let k = 38 - i. Solve -x + k = -2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7757.45 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -14*x + 6. Let v(m) = -m**2 - 4*m**2 + 5*m**2 - x*m**2. Let d(j) = 31*j**2. What is d(v(i))?\nAnswer: 124*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11065484141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -r**6\/120 - r**5\/60 - r**3\/2 + 3*r**2. Let d be l(-3). What is the greatest common divisor of d and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271875 is divided by 56.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 665, 3009 in increasing order.\nAnswer: 1, 665, 3009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((3 - 33\/6)*3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 748 - 740. Suppose -4*z + 5*o - 4 = 0, -z - 2*o + 8 = -o. Solve -u*d + z*d + 4 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 1. Let g be d(3). Suppose 2*y + g*q = -y + 26, -2*y + 16 = 2*q. Suppose -y = w - 4*w. 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 the common denominator of 51\/19 and 1*(28 + -18) + 1435\/(-132)?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -86, -99, -112, -125?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-y - 2*y - 2*y)*(2 + 0 - 1) + 2*y + 2 - 2)*(398 - 200 + 1005*y - 198) in the form x + k*y + j*y**2 and give j.\nAnswer: -3015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 102103?\nAnswer: 102100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxhxxxhxhhxhxhxx. Give prob of picking 2 x and 1 h.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*u**3 - u**3 - 3*u**3)*(11 - 17 - 82*u - 23) in the form b*u**4 + v*u**3 + h + a*u**2 + c*u and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkyy. Give prob of sequence kyky.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11423*z = -11446*z + 621 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 + 3*u**2 - 3*u + 1. Let d be h(2). Let k = d - -10. Let r be ((-6)\/3 + k)*-4. Solve -w - 5*q + 9 = 0, r*w + 0*w = -2*q + 18 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - g + 5. Let o be u(0). Let y(h) = h**3 - 8*h**2 + 7*h - 16. Let q be y(9). Suppose -o*x + q = 28. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -2 + (-6 - -6)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3450 + 117345\/34. What is the common denominator of w and 41\/294?\nAnswer: 4998","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71655 (base 8) to base 2.\nAnswer: 111001110101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4239, 8489, 12741, 16995, 21251, 25509?\n\"Answer: l**2 + 4247*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by 372821.\nAnswer: 51\/372821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13087?\nAnswer: 23, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1466 (base 11) to base 7.\nAnswer: 5334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456939147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + -4*(sqrt(1539)*1 + sqrt(1539)) - ((-2*sqrt(1539) + -2)**2 + -3 + (sqrt(1539)*2)**2))*2.\nAnswer: 1728*sqrt(19) + 147720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1556084 (base 10) to base 6\nAnswer: 53204032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a. Let s(y) be the first derivative of 2*y**2 + 12*y + 13. What is s(v(r))?\nAnswer: -8*r + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 398012 and 988.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1. Suppose 5*b - 11 = w + 13, 2*b + 2*w = v. Let r = 30.5 - 30. Sort -3, b, r.\nAnswer: -3, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/15*((-3)\/(-18) + 119\/(-357))\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136452677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41.999966 - -42. What is t rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2641242589 to the nearest integer?\nAnswer: 51393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*l = 26, 4*c - 57 = 68*l - 65*l. Let w(m) = m**3 - m**2 + 93. What is the smallest common multiple of w(0) and c?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 + 59854 - (-12)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -47*h + 12. Determine m(-11).\nAnswer: 529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*p + 216*p = -208. Does 26 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -32. Let l = -6 + 3. What is the nearest to 2 in -5, v, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j + 1. Let y(v) = 3*v + 2. Calculate -5*f(x) + 6*y(x).\nAnswer: -2*x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 124 + -120. Solve 0 = -2*d + b*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 9*y + 2. Let j be r(9). Suppose 0 = -2*n + 4*v + 8, -4*v + j = -n + 6. Let m(u) = u + 3. Let q be m(0). Solve d + q*d + n = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1418*p**5 + 396*p**2 - 1 wrt p.\nAnswer: 85080*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 767 divide 20063808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*f + 10. Let a be 10\/f*(-5 + 8). Suppose -a*j + 2*u = -107, 108 = 5*j + 3*u - 6*u. Solve -4*r = v - j, r + 10 + 6 = 4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 637620*r - 33879938700.\nAnswer: -3*(r - 106270)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 84.1 times -8744\nAnswer: -735370.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*d + 6*d + 2*d + 133*d as c + j*d and give j.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, i: 7}. Give prob of sequence zzi.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1714294 to the nearest one thousand.\nAnswer: 1714000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of n**7\/84 - n**6\/360 + 43*n**4\/24 + 79*n**3\/3 - 80. Let j(z) be the third derivative of m(z). Differentiate j(o) wrt o.\nAnswer: 30*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-1)\/a*a*a))\/a**6)\/(a**(1\/4)\/(a*a**(2\/5)*a)) assuming a is positive.\nAnswer: a**(-57\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 23671 - 4737. Is 134 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 3*f + 6 + (0 + 3 + 1)*(2*f + f + 0*f) + (-1 + 2 + 0)*(2*f - 2 + 2) + 2 - 2 + 2*f.\nAnswer: 19*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 67705*c**2 - 230982000*c + 12052607040.\nAnswer: -5*(c - 6744)**2*(c - 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 62*v - 87\/20*v**5 + 0*v**4 + 0*v**3 + 15\/2*v**2 - 2. What is the first derivative of s(c) wrt c?\nAnswer: -261*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) 2 (c) -22 (d) -0.1 (e) 0 (f) -332 (g) 142\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2170\/(-651))\/(((-6)\/(-9))\/(-1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*w + 54 = 0, k - 3*w - 7 = 5. Let u(r) = 7*r + 38*r + k*r - 14*r. Let f(o) = 2*o. Calculate u(f(v)).\nAnswer: 104*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 5*r - 294 - 1954, -h = -4*r - 755. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13360, -53612, -120702, -214630, -335396?\nAnswer: -483000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1520248.\nAnswer: 2, 190031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 11916 - 32*y**2 - 11916 in the form d + k*y**2 + z*y and give k.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 10*g + 14. Determine s(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 15) to base 5\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.096.\nAnswer: 0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 893727876*r + 99843689542433922.\nAnswer: 2*(r + 223431969)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25 - 334?\nAnswer: -359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 545 + 233. Let c = z - 496. What is the highest common factor of 47 and c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -5*r**2 + 0 + 0*r + 1\/2*r**3 - 1\/6*r**4. Differentiate y(b) with respect to b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.99996 + -1. Round x to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 81*a**3 + 9 - 16 - 6*a - 80*a**3 + 4*a**2. Let q(u) = u**2 + 4*u - 5. Let f be q(-4). Determine n(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bmjybaijbijamb?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -1\/2, -2\/3, 0.2, -2\/3725?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 43\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -162.6842 + 0.6842. Which is the closest to 2\/3? (a) -0.1 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 24) + -8 + 131 + -2.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + n - 554 + 549 = 0, -10 = -2*j - 5*n for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -48*b + 45. Does 53 divide f(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 plus 68665032?\nAnswer: 68665031.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a - 6 = 24*a. Find the common denominator of -133\/54 and a\/(-30) - (3454\/(-180))\/(-11).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -479807*c**2*g**3 + 25*c**2*g + 119491*c**2 wrt g.\nAnswer: -2878842*c**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 14*f**2 + f - 31. Let z(h) = 6*h - h**2 + 2*h**2 + 3 - 17*h. Let b be z(9). What is the units digit of t(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 528, 1343, 2158, 2973?\nAnswer: 3788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xu when two letters picked without replacement from {l: 4, u: 3, x: 1}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 57\/2. Let d = 49 + -48.8. Let m = d + 0.1. Put t, m, -2\/5, 0 in increasing order.\nAnswer: t, -2\/5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8742?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1182928704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-455)\/(-20) + -3 - (-3)\/(-4). Let y(d) = -b + 26 + 17*d - 7. Let p(q) = -2*q. Determine p(y(f)).\nAnswer: -34*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 6:43 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 5*g**2\/2 + 5*g + 1. Let p(r) = 11*r + 11. Suppose 8*u + 9*u - 119 = 0. Determine u*i(f) - 3*p(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 17*c - 841. What is n(50)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9963 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (115 - 2) + 25 + -181.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -19. Suppose 0 = 5*h - 5, 6*a - 2*a = -h + m. What is the remainder when 9 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4473, 8955, 13445, 17943, 22449, 26963, 31485?\n\"Answer: 4*y**2 + 4470*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from cflfffccfclfcfcfcfc.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6377 or 6446?\nAnswer: 6377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11765 + -10611. Does 24 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 70317\/8 and 8789 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - ((-2 - 1) + -1). Suppose 5*d = r - 3*r + 3, b*d + 4*r = 1. Let x = 485 + -9213\/19. Is d greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 2. Let t be 28\/10 - a\/5. Suppose -3*i - t*s = -2*s - 114, 0 = -3*s - 9. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/2026 and -99\/32.\nAnswer: 32416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3.1. Let u = 39 - 37. Which is the closest to u? (a) i (b) -1 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 6510, 5 in increasing order.\nAnswer: 0.1, 5, 6510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 888697.8 milliseconds in hours?\nAnswer: 0.2468605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 33002200?\nAnswer: -33002202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 14 = 4. Let g be -6*(2 + 7\/w). Let c(r) be the third derivative of r**6\/120 - 3*r**5\/20 + r**4\/24 - 2*r**3\/3 - 69*r**2 - 3. Give c(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -7*m + 2*m - 18, -m - 1 = 3*j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) -6612 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110112003 (base 5) in base 12?\nAnswer: -3518ba2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -16*l - 190. Give c(-6).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 7:37 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + ((sqrt(19) - (sqrt(95) - (sqrt(95)*1 - sqrt(95)))\/sqrt(5)) + sqrt(19))**2 - (sqrt(114)\/sqrt(6) + 5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-694)\/(-90) - ((-64)\/24)\/8*(-8)\/24?\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-30)\/(1890\/(-1617)))\/((-2)\/(-19 + 1)). Let k = 74 - 8. What is the highest common divisor of q and k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*c**2 - 5*c**3 + c - 11*c**2 - 37 + 6 + 3*c**3 to the form h*c**2 + v*c**3 + u*c + y and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (291\/679)\/((-2)\/14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.94 + -0.06. Let l = 0.29 + 0.01. What is the second smallest value in 0.4, u, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -433936*o - 4*o**3 + 216956*o + 216980*o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3 - 235081*n**2 - 1880591*n - 1645511 = 0. Calculate n.\nAnswer: -235073, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(-2*l - 2*l + 3*l) + (-2 - 2 + 5)*(0*l + l - 3*l) - 4 + 3*l + 4 - 2*l - 5*l + 5*l + (-l + 4*l - 2*l)*((0 + 1 + 1)*(2 + 2 - 6) - 7 + 4 - 1).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2)*n**28)**(-6) assuming n is positive.\nAnswer: n**(-165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdtddddddd. Give prob of sequence dd.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k\/k**12*k*k)\/k)\/(k\/(k\/((k**4*k)\/k))))\/(k*k**2)**27 assuming k is positive.\nAnswer: k**(-93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = y - k + 2080, 0 = -3*y - 2*k + 1565. Suppose 0 = -5*o - 5*b + 1300, y = o + o + b. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13046 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 hundreds digit of 38428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -3.4 (c) 5\/37 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28105 - -28116. Solve -11*d = -k*d - 7*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -55, 0, 4, 5 in decreasing order.\nAnswer: 5, 4, 3, 0, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 6*s - 3*s - 313, 3*q + 4*s - 179 = 0. Let h = q + -23. Calculate the greatest common factor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 830076*p**2 - 3*p**3 - 830076*p**2.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3318 and 844788?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 2*i**2 - i - 1. Let b(u) = -15*u**3 - 4*u**2 - 2*u + 102. Let a(o) = b(o) - 2*z(o). Differentiate a(n) wrt n.\nAnswer: -51*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*s**3 + 3 - 6*s + 40525*s**2 - 40525*s**2 to c*s + j + w*s**2 + n*s**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -252, -230, -208, -186, -164?\n\"Answer: 22*x - 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -y - 3, -y + 0*y + 1 = 2*s. Let i = s + 5. Suppose -i*g + 48 = -27. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 - 48. Let i(p) = 15073*p + 38. Let z be i(w). Let u = -156649 + z. What is u rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**4\/6 - j**3\/3 - 12*j**2 + 37*j. Determine c so that t(c) = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.113917.\nAnswer: -0.227834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.197 times 1.48\nAnswer: -0.29156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 112.84172 + 0.15828. Which is the nearest to -6? (a) 1\/7 (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132\/1144*26)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.04 (b) -1\/2 (c) -2509\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 12:46 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**4 + 4*b**3 - 4*b**2 + 4*b. Let g(z) = -z**4 + z**3 + z**2 + z. Let j(l) = -4*g(l) + h(l). Find the third derivative of j(q) wrt q.\nAnswer: 168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(-6) + 4 + (-28)\/8. Suppose -4*c + c = 3, -123 = -v*t - 3*c. Calculate the remainder when 163 is divided by t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/4)\/m*m)**(-1\/13)*(m*m*m\/m**(-1\/7))**41)**(2\/29) assuming m is positive.\nAnswer: m**(46911\/5278)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2. Let b(y) = 1935*y. What is b(t(g))?\nAnswer: 3870*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -2. Let n = 26 + -21. What is the biggest value in h, n, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3\/7 + 1530*c**2\/7 - 260100*c\/7 + 14739000\/7 = 0. What is c?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1186872\/13352310*(1\/15)\/((-4)\/(-54)*-3).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 719572, 1439175, 2158778, 2878381, 3597984?\n\"Answer: 719603*t - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*p + 1635, -3*p - 431 = -2*v + 223. Suppose -3*s = 2*u + v, 73 = -3*s - 5*u - 245. Let c = -92 - s. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 1848*g**2 + 227529*g - 699300.\nAnswer: 3*(g - 3)*(g + 175)*(g + 444)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-3 + -2 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/7)\/(((-18)\/(-20))\/((-996)\/830))\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-1)*m))\/m*m*(m*m**19*m*m)\/m)**(-1\/43) assuming m is positive.\nAnswer: m**(-22\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/2*a**4 + 1\/2*a + 3\/2*a**3 - 3\/2*a**2.\nAnswer: -a*(a - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.79773 + 0.801. Round c to 4 decimal places.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*(s**(11\/2)\/s)\/s*s\/s**(-17) assuming s is positive.\nAnswer: s**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d - 6. Give x(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38.6 - -38.2. Which is the biggest value? (a) w (b) -2\/7 (c) 13 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-4\/13)*f\/(f**18\/f)*f*f*f**(12\/7)\/f*f*f**(-6)*f assuming f is positive.\nAnswer: f**(-1454\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2*(sqrt(7) + 0) + sqrt(7))**2 + 4).\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oiiiioi. Give prob of picking 2 i and 1 o.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -0.4 (c) 93 (d) 12 (e) 0.5 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 62736120 divided by -39015\nAnswer: -1608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23515 is divided by 1219?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 256649995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*j - 20 = 94 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1200)\/(-1890) + 14\/63\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/266035 and -73\/980.\nAnswer: 7448980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2907, -2849, -2753, -2619, -2447?\nAnswer: -2237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 692\/5 + -138. Is x <= 0.46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 12*y - 11. Let l be f(-11). Let u = -10 - -12. Solve p - u*p - 3 = l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w + 1 - 1 - w - 3*w + 2*w + (-1 + 4 - 5)*(w - 3*w + 4*w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/25090 and 23\/1300.\nAnswer: 250900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002623 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 941 times -343\nAnswer: -322763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 2*s = 212. Suppose 2*w + w - 33 = 3*y, -s = -4*w + y. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -41\/6709 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + b3812ad?\nAnswer: b3812a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 77327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 27. Let u be v(24). Which is the smallest value? (a) u (b) -4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**3 + 2*s**2 + 2*s. Let m(f) be the second derivative of -f**5\/20 + f**4\/12 + f**3\/6 - 4*f. Give -2*g(b) + 4*m(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 3, -5, -2 in descending order.\nAnswer: 3, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7085 + 7028. Let c = -7351 + 36476\/5. Which is greater: c or h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -5000 (b) -5 (c) 0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/63 - 40217054\/(-70) - 1\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**6\/120 + 3*r**5\/20 + 7*r**4\/24 + 7*r**3 + 3*r**2. Let y be i(10). What is the highest common divisor of y and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 4:24 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 98611 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11610 - -56227\/5. Let c = k - -7717\/20. Calculate the common denominator of -2 - (-19)\/16 - 1 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23100 divided by 5775.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**3 + 13667*p**2 + 5*p - 32254 wrt p.\nAnswer: 12*p + 27334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000969525 to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 0 + 3, 0 = x + 5*m + 14 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*b*g**2*o - 19213*b*g*o**3 + 6*g**2*o + 579*o**3 wrt b.\nAnswer: 3*g**2*o - 19213*g*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**3 + 9*t**2 + 5*t + 2. Let x(o) = -4*o**3 - 10*o**2 - 6*o - 3. Determine -3*d(i) - 2*x(i).\nAnswer: -i**3 - 7*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.032 + 6.832. Let r = 17 + -24. Let j = r + o. Sort 0, 0.5, j in descending order.\nAnswer: 0.5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifteen sixteenths of a centimeter?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*n = 4. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*-384.\nAnswer: 13824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-3))**(-8)*(x\/(x*x\/(x*x**(1\/18))))**(-17))**(-11) assuming x is positive.\nAnswer: x**(-2981\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -388\nAnswer: 7\/388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 253*b**2 + 4973*b - 4973*b + (0*b**2 - 5*b**2 + 3*b**2)*(-2 - 1 + 5).\nAnswer: 249*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b - 159*b - 351 = -6390 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 315*l**2 + 689*l**4 - 195*l**3 + 685*l**4 - 1384*l**4.\nAnswer: -5*l**2*(l + 21)*(2*l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -55.3429, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 415.351 - 96.207. Let m = p - 322.91243. Let y = -3.77 - m. Round y to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 26*l**2 - l + 26. Let r(a) = -9 + 11*a**2 + 0 - 20*a**2. Let b(z) = -6*i(z) - 17*r(z). Factor b(v).\nAnswer: -3*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*y - 9 = 0, 3*l - y = l + 12. Suppose 4*f + 3*p - 23 = 0, -p - 20 = -l*p. Solve 1 = f*j - 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01485513052 to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*c**3 - 1 + 91*c**2 - 91*c**2 + 12*c**3 as j*c**2 + y*c + u + m*c**3 and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 12*b**2 - 1. Let m(t) = 293*t**2. Determine u(m(j)).\nAnswer: 1030188*j**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*66\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 + 3 + 20808*o - 10221*o + 0 - 9665*o as d*o + i*o**2 + j and give d.\nAnswer: 922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**4 + 20*h. Let t(p) = p. Let s(b) = -b. Let n(u) = -2*s(u) - 3*t(u). Let q(w) = -a(w) - 4*n(w). What is the second derivative of q(r) wrt r?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 4. Let w(k) = 3*k**2 - 5*k + 6. Let m be w(y). Suppose 0 = p - 2*p + 3*c + 20, 2*p = 4*c + 32. What is the greatest common divisor of m and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 762, -7, 108 in descending order.\nAnswer: 762, 108, 2, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 3 (b) 0.4 (c) -166968\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 2050696*y + 149679492.\nAnswer: 4*(y - 512601)*(y - 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011101010001011 (base 2) to base 9.\nAnswer: -132410","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a kilogram in grams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and 0.2.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffhaaafaha. Give prob of sequence afha.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -279458 and -24312865\/87 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.375 + -5.395. Let x = y - -0.02. What is the smallest value in -2, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6268, -6282, -6298, -6316, -6336?\n\"Answer: -f**2 - 11*f - 6256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u**2 - 5. Suppose 69 = -11037271*n + 11037202*n. Let s(a) be the third derivative of a**3\/6 + a**2. Give n*m(o) - 4*s(o).\nAnswer: 4*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/9)\/2*3. Let q be (-24)\/(-9) + 2\/6. Sort o, q, 0 in descending order.\nAnswer: q, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + 2)*(-5 + 4). Factor 3*x**3 - 3*x**5 - 3*x**2 + 3*x**4 - x + x + 0*x**d.\nAnswer: -3*x**2*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i + 3*i**3 - 45*i**2 + 43*i**2 + 2*i**4 + 0*i**4 in the form q*i**4 + g + c*i + n*i**2 + b*i**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 874664 and 295708?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-1 - 12 - (41 + -44)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*d + 15, -5*d - 5*f + 2 = -18. Let n(i) = i**3 - 5*i**2 + 3*i - 1. Let y be n(d). Let m(a) = 14 - y + 4*a. Let w(r) = 4*r. Give w(m(o)).\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 6*s - 4. Let m be g(4). Suppose 12 = 5*r + r. Factor z - z**r + 0*z**2 + 2*z - m*z.\nAnswer: -z*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14, -31, -72, -149, -274?\n\"Answer: -2*f**3 - 3*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**5\/20 - r**4\/2 + r**3\/6 - 2*r**2 + 38*r. Let a be g(-6). What is the tens digit of 202 - (-12)\/(a + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnninii. What is prob of picking 4 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.07, -54\/7, 3, 0?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + l = -6087, 769*u + 7615 = 774*u + 5*l. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3318, -3319, -3320, -3321, -3322?\nAnswer: -3323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*d = -3*v - 93*d - 25, -5*d + 5 = -3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 432 and 10152.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from iucuuvcuviuuuiuvuv?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1963, -1962, -1959, -1954, -1947, -1938, -1927?\nAnswer: -1914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oot when three letters picked without replacement from oolllktttls?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 533, 536, 555, 596, 665, 768, 911, 1100?\nAnswer: 1341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4731?\nAnswer: 3, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.82 - 85.18. Let u = -92 - v. Let z be (-440)\/1001 + 2\/13. Sort -1.4, u, z.\nAnswer: u, -1.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**4 + j**2 - 2*j**2 + 35 - 19 + 3*j**3 - 15 to the form z*j + n*j**4 + r + c*j**3 + i*j**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1093, 5, -0.03.\nAnswer: -0.03, 5, 1093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -615 - -1599. Does 77 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -21371003004.\nAnswer: -21371003000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2023 + 2211?\nAnswer: 10300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7466 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(1\/10))\/((q**4\/q)\/q))\/((q*(q\/q**(-8))\/q)\/q**(-3\/5)) assuming q is positive.\nAnswer: q**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from iwiimmwiwmiiiwwwiss?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + 0 + 0 + 1. Suppose -c = w - 3*w. Let j be (-3)\/2 - (-56)\/16*-1. What is the second biggest value in w, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 7:39 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 651 and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -1238*y + 1007. Calculate q(1).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 52*d + 8. Let q(n) = -53*n - 10. Determine -3*q(w) - 4*r(w).\nAnswer: -49*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -109, 25, 163, 311, 475, 661, 875?\n\"Answer: y**3 - 4*y**2 + 139*y - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h - 159. Give z(20).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1079*u + 1304*u - 147*u = 453*u + 58839 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -88*o**2 - 700 wrt o?\nAnswer: -176*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.7 - -8.056. Let b = a - 0.086. Round b to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 12*w - 2. Let q be v(3). Suppose -2*r + q - 46 = 0. Let t(o) = 15*o - 6. Let g(j) = 4*j - 2. Let i(y) = 22*g(y) - 6*t(y). What is i(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -13. Let h be (-35)\/n*(-4)\/(-14). Let f = -1 - -2. Which is the nearest to h? (a) -4 (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3909640 + 28079034569\/7182. Calculate the common denominator of w and -83\/3990.\nAnswer: 35910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -25957396 and -306690.3.\nAnswer: -26264086.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q - 5. Let l be t(-6). Let y = l - 15. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 219827.912041 + -219828. Let u = -0.088 - f. Round u to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10655\/2202 - -2\/367. What is the common denominator of -7\/44 and r?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*i = 4, i - 4 = -4*s + 3. Let c = s - 5. Is 2 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3022 + 103102013?\nAnswer: 103111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 3221 and 257563\/80 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 3*a - 10 = 0, 41*a = 86*a - 49*a - 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 84, 256, 590, 1140?\nAnswer: 1960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 153 - 49. Let l = x + -91.7. Let n = l + -12.219. Round n to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -6*m - 27. Let h be j(-9). What is the smallest common multiple of 9 and 6\/h*-3*-15?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 579696204*v**2 - 519972271?\nAnswer: 1159392408*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3715 - 0.1?\nAnswer: -0.4715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218529?\nAnswer: 3, 24281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/(-2)*(-1 + (-270 - -3)). Suppose -27*b + b = -o. Calculate the remainder when b is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -146, 0.3, -2 in descending order.\nAnswer: 0.3, -2, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -205738*i*y**2 - 2*i*y - 43*i - 15*y + 3 wrt y?\nAnswer: -411476*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + v + 2, -2*v = -3*g + 2*g - 5. Suppose f = z - g, 7*f - 2*f - z = -3. Suppose f = 2*c + c - 237. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*(-525753)\/2 - 0. Let g = m - 678220943\/430. Let k = -4\/43 + g. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4263, -4246, -4219, -4182, -4135, -4078, -4011?\nAnswer: -3934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0 - -5) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 3:09 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 6) + 6 - (25 + (-1 - 7))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -7363 and 13.\nAnswer: -7350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*u = 2. Suppose -u = -3*m + 13. Solve 3 - 28 = -m*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4515.084ml?\nAnswer: 4.515084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.73 - 3.9. Let j = -0.03 + r. Which is the closest to -4? (a) -3\/8 (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/2)\/a**(2\/15))\/((a*a*a*a**(2\/7))\/a**5))**(3\/2) assuming a is positive.\nAnswer: a**(437\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1622 - (-9 - 18)\/3. Calculate the greatest common factor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131488, 525889, 1183240, 2103541, 3286792, 4732993, 6442144?\nAnswer: 8414245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**3\/5 - 44*c**2 + 856*c\/5 - 848\/5 = 0. What is c?\nAnswer: 2, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 484 - 488. Let v be (-3)\/4*(2 - 0). Sort -5, z, v in decreasing order.\nAnswer: v, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43.7 - -42. Let w = o - 0.3. Let l = 3 + w. What is the biggest value in -1, -1\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117360 and 156080?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, s: 1, b: 2, o: 7, t: 4}. Give prob of sequence sz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 89656 and 352?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -115, -204, -309, -436, -591, -780, -1009, -1284?\n\"Answer: -q**3 - 2*q**2 - 76*q - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 666*h**5 + 61417*h**4\/2 + 249295*h**3\/4 + 92001*h**2\/4 - 11709*h\/2 - 594 = 0.\nAnswer: -44, -3\/2, -3\/4, -3\/37, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.817335 rounded to 1 dp?\nAnswer: -48.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2975873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 0. Let h(l) = l - 4. Let g be h(r). Let o(b) = g*b + b - 4*b. Let v(d) = 2*d**2. Give o(v(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3870)\/516)\/((-1)\/(-2)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18153 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -157 - -144. Let c(t) = -t**2 + 8*t + 21. Let d = 45 + -35. Let v be c(d). Is a > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54156.9 rounded to the nearest 100?\nAnswer: 54200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.019 in -1, 1\/6, 1, 0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 2*a - 7*a - 6, a - 10 = 3*g. Let m(j) = 4*j**2 + 0 + 2*j + 0 - 1 - 2*j**2. Is m(g) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 26. Let w be v\/(-10) + (-4)\/(-10). Suppose -4*b + w*b = -12. Solve 2*m = -2 - b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 2*j = 0. Suppose 5*q + 5*p - 380 = j, -3*p + 372 = 6*q - q. Does 20 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.058114181 - 0.\nAnswer: 0.058114181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -23\/12*y**4 + 0 + 0*y**2 - 4*y + 0*y**3. Let z(v) = -v**2 + 1176*v - 1176*v. Give z(m(a)).\nAnswer: -529*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 1. Let s(b) = 2*b**2 + b - 1. Let a(g) = s(g) - 5*y(g). Let j be a(2). Solve z = -5*h - 4, -3*z = -h - 8*z + j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6431851 less than or equal to -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76 + 4. Calculate the greatest common factor of 440 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 92945 - 64926. List the prime factors of x.\nAnswer: 28019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 - -230566?\nAnswer: 230581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, e: 4, s: 1, y: 4, v: 3}. Give prob of sequence jsj.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + q = -68. Let b = 59 + -80. Let z = q - b. Calculate the remainder when 5 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*g - 94 = 3*d, -3*d = 5*g - 141. Let n = d + -16. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**10\/(i*i**(-1\/5))*(i**(1\/4))**(-2\/5) assuming i is positive.\nAnswer: i**(91\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42.06 - 42.7. Which is the third smallest value? (a) 2\/13 (b) q (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -12\/13091 (c) -1 (d) 17 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (28\/(-49))\/((-6)\/21). Solve -4*b - 15 = 5*z, a*z - z + 3*b + 3 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -99 + 99.000132. What is c rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5 = 40. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*z = 3*l - 168, 0 = -5*z - 20. Let g(o) = 4*o**2 + 2*o - 1. Let j be g(1). Calculate the remainder when l is divided by 2\/(-5) + 82\/j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21.26 + -22.26. Which is the nearest to n? (a) 0.31 (b) -1 (c) -5 (d) 10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**12*w**(8\/7)*w*(w\/w**(-2\/19))\/(w\/(w**(-11)*w)) assuming w is positive.\nAnswer: w**(698\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*18 - -1 - 3. Let y be (-10)\/15 - s\/(-6). Solve -2*z - 2 = -2*w, 0 = -3*z - y*w + w - 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 7:55 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2 + 2 = -2*z, -5*z = -h - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqw when four letters picked without replacement from {w: 2, q: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 17. Let v be x(-9). What is the highest common divisor of 200 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14820*h + 231155 = -12035*h for h.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 275, 0, 1, 3 in descending order.\nAnswer: 275, 3, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 3:23 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + -28. Let f = 30 + v. Let p = 15 + f. Is p at most 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 431235 and 2625.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3373047 = 17*w - 3372894 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**5\/20 - b**4\/3 + b**3\/2 - 5*b**2\/2 + 3*b. Suppose -r - 4*r + 20 = 0. What is the least common multiple of r and w(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2 - 115189362*p + 115189364 = 0. Calculate p.\nAnswer: -57594682, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k + 1886. Determine m(-72).\nAnswer: 1598","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.341, 0, -0.2, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*q = 2*v + 2*v - 3332, v + 197 = -9*q + 14*q for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(425) + 1 - sqrt(425))**2*-4 - sqrt(425)) + 1*sqrt(425) + 3 + (1 + sqrt(425))*2 + 1 + sqrt(425) + sqrt(425)*4.\nAnswer: -3 + 35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(-2*v - 3 + 3) + 7 + 4*v - 12 + 7.\nAnswer: 8*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 41310?\nAnswer: 41310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**2 - 1022*v + 92137. Determine f(74).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**2 + 2 - 2)*(0 - 7 - 5) - 2*b**2 + 3*b**2 + 2*b**2 to g*b**2 + u*b + x and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 279\/(-18)*(-1 - 19). Let b be q\/75 + 4\/(-30). Solve -2 = -b*v - 18 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h = 5*h. Suppose 17*g - 16*g - 1 = h. Let d(j) = -j**3 + 4*j**2 - 2*j + 1. Let u be d(3). Which is smaller: u or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2 + 3*v - 4. Let d = 10253\/8 + -1292. What is the common denominator of d and h(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - c + 4*c)*(2 + c - 2) + 2*c**2 + 0*c**2 + c**2 + (-3 + 2*c**2 + 3)*((3 - 6 + 1)*(0 + 5 + 1) + 2 - 2 + 3).\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27)\/81*(1 - 18). Let w(s) be the first derivative of 1 + 0*s + q*s**3 + 0*s**2. Let i(c) = c. Determine w(i(x)).\nAnswer: 17*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 336 - 300. Suppose 78 = 2*u + d. Solve u = -5*q - 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1987660 divided by 5.\nAnswer: 397532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7533 and 23965146.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2652?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*p + 20. Find the second derivative of 0*i - p*i**5 + 6*i - 4*i**5 wrt i.\nAnswer: -160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q + 8. Let u be r(0). What is the third derivative of -3*t**4 - u*t**4 + 7*t**2 + 42*t**4 wrt t?\nAnswer: 744*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.35 - -0.67. Let s = -0.01 - m. Let h = 0.330044 + s. Round h to six decimal places.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294792?\nAnswer: 2, 3, 71, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d5d33 + -b?\nAnswer: 2d5d27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 130190000 rounded to the nearest 1000000?\nAnswer: 130000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2164158 <= 2164159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 36 = q - 4*i, 0 = -5*q + 3*i + 45. Let s(v) = -38*v - 44*v + q*v**2 + 82*v. Let z(j) = -j. What is z(s(b))?\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x**2 - 21*x - 28. Let q be n(-3). What is the closest to 0 in q, -1\/2, -13, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 7 = 3*b, 2*b - 10 = 2*n + 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 8:26 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2934 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 14*g - 30. Let i be q(16). Suppose 0*w + 3*w = 6. Suppose -35*p + 41*p = 0. Solve -5 = -3*m - w*o - p*o, i*o = 5*m - 19 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, 6, 2 in descending order.\nAnswer: 6, 2, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10253 - 8a6?\nAnswer: b569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 207 and 851?\nAnswer: 7659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -350146*j*m**5 - j*m**4 - 3239*j*m + 4*j + 2*m wrt m?\nAnswer: -7002920*j*m**3 - 12*j*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m - 56. Let h(w) = -9*w + 152. Let x(u) = 8*f(u) + 3*h(u). What is x(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -102*h**3 + 4650*h**2 + 28791*h + 43524. Let g(o) = 15*o**3 - 664*o**2 - 4113*o - 6218. Let b(c) = 4*a(c) + 27*g(c). Determine u so that b(u) = 0.\nAnswer: -3, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90359000 rounded to the nearest 1000000?\nAnswer: 90000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 395 - 195. Calculate the smallest common multiple of l and 44.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/2501, 4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2857*l + 2856*l - 5*b = 34, -4*l + 39 = -5*b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*t + 18, t + 2*q - 24 = -3*t. Let n(o) = o**2 - 5*o - 7. Let v be n(t). Let c(y) = -14*y**3 + y**2 + y + 1. Is c(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1914 and -17?\nAnswer: -32538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = i - 4*i + 3*f, -4*f = -5*i + 68. Let z be 2\/6 - 2*(-952)\/i. Calculate the highest common factor of z and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + -1*(sqrt(28)\/(2*sqrt(4)) + -1 + sqrt(7) + 4 + -5))**2.\nAnswer: -9*sqrt(7) + 87\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 56*b**3*m**3*z + 7*b**3*m + b**3 + 2*b**2*m**3*z - b*m**3 wrt z.\nAnswer: 56*b**3*m**3 + 2*b**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/659122 and -25\/42524?\nAnswer: 1318244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.2948*-0.52817\nAnswer: -0.155704516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2405400, -2405395, -2405388, -2405379, -2405368, -2405355?\n\"Answer: l**2 + 2*l - 2405403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 1192 = -2*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 - 11*m**2 + 118*m + 24.\nAnswer: -(m - 4)*(m + 6)*(5*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -85438.19 + 373?\nAnswer: -85065.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v - v + 0*v + 8 - 8 - v + (2*v + 2*v - 6*v)*(-5 + 2 + 2) + 3*v + 2*v - 3*v + (-3 + 2 + 0)*(2*v + v - 2*v) in the form u + r*v and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -17475.776+6339151\nAnswer: 6321675.224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2386814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0057962 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196 + 2*d - 196.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**5\/2 + 961*z**4\/4 - 7135*z**3\/4 + 18965*z**2\/4 - 21303*z\/4 + 4257\/2 = 0.\nAnswer: 1, 3\/2, 2, 3, 473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8.1 and -3374093.29647.\nAnswer: -3374085.19647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 509900907.\nAnswer: 3, 17, 588121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*z, -k + 79 + 22 = -2*z. What is the highest common divisor of 77 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 101533?\nAnswer: -3\/101533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 0*o - 4*k - 160, -5*k = -4*o + 317. Let r be (0 - -2)*o\/4. Suppose -3*w + 0 = -2*u - r, 5*w - u = 72. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 19. Is z equal to 2\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14678 = 4*z - 1378. List the prime factors of z.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3368 + 3378. Solve -9*l = -q*l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 5*j**3 + 1. Let d(a) = -2*a**2. Give d(b(c)).\nAnswer: -450*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 + 0.8. Sort -3, 1, j in increasing order.\nAnswer: -3, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddeeeedddddded. What is prob of picking 2 e?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 7. Suppose 0*a + 4*a - 8 = m. Let u(b) = 3 + b**2 + 4*b + 0*b**a + b. Determine u(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -49*m**5\/5 + 21*m**4 - 68*m**3\/5 + 12*m**2\/5 = 0?\nAnswer: 0, 2\/7, 6\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16930918195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -30 (b) 0.05 (c) 2\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of u**4\/4 - 14*u**3\/3 - 36*u**2 - 5*u + 1479. What is s(18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64714557287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -221878*-0.01.\nAnswer: 2218.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x\/(x*x**(5\/4))))\/x)\/x*x**(2\/35))**(1\/11)*(x**(-2))**(-10)\/((x*x\/x**(-2\/5)*x)\/x**7) assuming x is positive.\nAnswer: x**(36247\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 5*k = 34*o + 170, -5*o = 4*k + 25 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2476209444 a multiple of 1396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-8)\/2) + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + d - 5*w = -63, -3*d + 47*w - 50*w + 36 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 2634*s**2 + 56859*s + 310728.\nAnswer: 3*(s + 11)**2*(s + 856)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/9 + 64*m\/9.\nAnswer: -2*m*(m - 32)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/13*-31*22\/(-22).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (133\/35*10 - 20) - 214\/53\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -24. Suppose b*r + 2*r + 3*g - 1 = 0, 4*r + 5 = g. Let l = r + 8. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(10\/(-1350)*3))\/(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q + 4. Let p = -14 + 11. Let r be y(p). Sort r, 2, -1 in decreasing order.\nAnswer: 2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - 8\/(0 + -1). Let c = d - 3. Do 7\/4 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -78500 at least as big as -392503\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 7*b**2 - 6*b + 2. Let j be h(-6). Put 4, j, 8 in descending order.\nAnswer: 8, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -25*a - 265. Determine f(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 4. Let p = -0.08 + -0.92. Sort k, -0.1, p in ascending order.\nAnswer: p, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 2 + (1 - 0). Let q be ((-32)\/(-80))\/(d\/5). Let a(h) = 2*h - 3. Let l be a(3). Solve -q*w = -3*w - l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/353024 and -173\/132384.\nAnswer: 1059072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + -12 + -2 + 0 + 12. Solve 8*v - 13*v + d = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -855.3 + 855.6. What is the fifth biggest value in 0.8, -5, r, 2\/3, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - 2288654 - 1565377 + 1415090.\nAnswer: 4*h - 2438941","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mf when two letters picked without replacement from mmfzzhmmmy?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 117*v**2*w*x - 667*v**2*x + 21*v**2 + 39*v*w*x with respect to w.\nAnswer: 117*v**2*x + 39*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 c, and 1 o when three letters picked without replacement from {j: 3, c: 8, o: 5}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11\/7 (b) -7.01 (c) -79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 + -34. Let h(g) = g**2 + 2*g + 3. What is the remainder when i is divided by h(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, d: 2, f: 4, o: 3}. What is prob of picking 2 d and 1 f?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 241 + 1 = 3*p, 0 = -2*u - 3*p + 160. Let d = 251 - u. List the prime factors of d.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 39609.39 kilometers?\nAnswer: 39609390000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -35344.93 and -13?\nAnswer: 35331.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182 = 2701*l - 2865*l - 9694 for l.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/8 (b) -1\/4 (c) -14 (d) -49 (e) 3 (f) 2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -58900*n - 58899*n - 58903*n + 176723*n. Let f(g) = 793*g**2. Calculate k(f(r)).\nAnswer: 16653*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.9 (b) -0.3 (c) -174 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 - 13188*k**2 + 39600*k.\nAnswer: -4*k*(k - 3)*(k + 3300)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -43 and -4971729950871?\nAnswer: 4971729950828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 706825155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/756*6)\/((-47)\/(-329))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -2655872.797.\nAnswer: -2655872.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)\/(2*sqrt(9) - sqrt(9)))\/(3*sqrt(144)).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**4\/24 + 45*p**2. Let i(u) = -u - 3*u + 2*u. What is x(i(l))?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1.342334 meters?\nAnswer: 1342334000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 463057081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - m**2 - m. Let b be n(0). Solve b = 3*g + 9, -x + g = -4*g - 11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -0.022797811?\nAnswer: 0.522797811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -481*b**2. Let g(q) = 32*q**2. Suppose 103*l - 195 = 64*l. Give l*a(v) + 74*g(v).\nAnswer: -37*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 25. Let w = -47 - p. Let v = -10 - w. Solve -2*k = 3*k - v for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -4, -15, -35\/2, -2?\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/(((-2)\/(-15))\/((-64)\/96)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6574, -6572, -6572, -6574, -6578?\n\"Answer: -g**2 + 5*g - 6578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 2*c + 0 + 1. Let y be t(6). Suppose 2*j - y - 1 = 0. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -10*i + 64. Suppose -117 - 235 = -4*y. Calculate the highest common divisor of i and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-470)\/(-1222)*(-2)\/5. Which is the second smallest value? (a) -2 (b) -5\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, a: 1, p: 2, y: 5, t: 4}. Give prob of sequence ya.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 109 in -6, 2\/25, 0.00067?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(6)\/sqrt(3))**2 + 0.\nAnswer: -8*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*1)\/(14\/42). What is the lowest common multiple of 5*(x + 148\/20) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182895.\nAnswer: 3, 5, 89, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3697625 is divided by 369760.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*3 + -1)**2.\nAnswer: -60*sqrt(11) + 9901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -7653?\nAnswer: -5\/7653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 27\/620?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.3? (a) 0 (b) 1 (c) -13 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 4)*(32*c - 5*c + 0*c).\nAnswer: 81*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3654\/116)\/(-63))\/(11\/12).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 0, 29, 86, 177, 308, 485?\n\"Answer: x**3 + 8*x**2 - 2*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*f + 573, 133 = -2*f + 3*f + 5*j. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2 = 4*m, -m - 2*q + 3 = 2*q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -41 times -0.4\nAnswer: 16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 66816772, 0, -4 in descending order.\nAnswer: 66816772, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(190)*-2)\/sqrt(10).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94*n**3 + 2*n**2 + 10*n + 8?\nAnswer: -564*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-220)\/5 + -11)*(-20)\/50?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 + 70 - 188\/(-20).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.062*-855656\nAnswer: 53050.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1575)*3 + sqrt(1575) + sqrt(1575) - ((4*sqrt(693))\/sqrt(11) - sqrt(63)))\/((6*sqrt(90)*2 - sqrt(90) - sqrt(90))\/(1*sqrt(90))))**2.\nAnswer: 7623\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -780660.384673\nAnswer: 780660.384673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (7 - -3 - 13)*(-4)\/(-15).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4099482137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p - 3*l = -22*p + 14, -3*p - l - 1 = 0. Suppose -2*n = -0*n. Is p > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/10*(-4 - 1). What are the prime factors of -29*(7 + -3)\/f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**3 + 10*o**2 + o - 2. Let d be c(5). Let u be 6\/8*(-7 + 20\/d). Is 5\/7 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (910\/104)\/(276\/(-184))\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5414*w**2 + 2*w + 5. Let t(x) = 2706*x**2 + x + 2. Determine 2*n(h) - 5*t(h).\nAnswer: -2702*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2732 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 2*v**2 + 1. Let q be p(1). Let n be (q\/4*3)\/3. Let x = 888\/5 + -177. Which is the closest to 1? (a) n (b) x (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -73, 9, 0, 79, -5 in decreasing order.\nAnswer: 79, 10, 9, 0, -5, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43.93 - 44.23. Which is the biggest value? (a) i (b) 0.2 (c) -25 (d) 158\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/5)*x)\/(x*x\/(x\/x**(-3\/8))*x*x)*(x**(-6\/5)\/x)\/x*(x\/(x**(-6)*x))\/x)**22 assuming x is positive.\nAnswer: x**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 25*i - 114. Let q be d(4). Calculate the greatest common divisor of 15 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 23. Suppose 5 = 3*n - a. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4 = 0. What is f?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -324.\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 - 5*i**2 + 30*i + 91. Calculate x(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3 = 0, -6*c - 12893 = -5*z - 5*c. Let h = 46507\/18 - z. What is the common denominator of (6*(-2)\/40)\/(4\/156) and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 3, 6, 5, -12, 8\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooz when three letters picked without replacement from zoolylloolnl?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -473 - -616. Calculate the remainder when f is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 427744 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*c - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1024230 + -22113?\nAnswer: -1101343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2 + 192404*m + 9625200 = 0. What is m?\nAnswer: -50, 96252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 783.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 99 = 29. Let v = u - -5. Which is smaller: 35 or v?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t**4 - 16*t**3 - 5*t**2 + 2*t = 0. Calculate t.\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2674876 (base 9) in base 4?\nAnswer: -11212011300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.68 - 22.68. Sort h, 2\/19, 1, -38, -4 in decreasing order.\nAnswer: 1, 2\/19, h, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18) + -2 - 6*sqrt(2)*1.\nAnswer: -3*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l**3\/2 + 919*l**2 + 7315*l\/2 - 23716 = 0 for l.\nAnswer: -7, 88\/25, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqqggqggghqqqqh. What is prob of sequence hq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/3 + 17555921*t\/2 - 13166941\/3.\nAnswer: (t + 26333882)*(2*t - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*15\/(-20)*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3906 is divided by 1952.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15850.896 * -4.\nAnswer: 63403.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 4*z**3 - 1\/12*z**4 + 0*z**2 + 67*z + 0. Let n(m) = -3*m. Calculate x(n(i)).\nAnswer: -9*i**2 - 72*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 1, -31 in increasing order.\nAnswer: -31, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 0.4, -2\/5, 8.445 in decreasing order.\nAnswer: 8.445, 0.4, -2\/5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -831*h**4 + 24*h**3 - 452*h**2 + 6*h - 6. Let q(b) = -4*b**3 + b**2 - b + 1. Let z(p) = 6*q(p) + x(p). Find the third derivative of z(w) wrt w.\nAnswer: -19944*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 6. Calculate the remainder when k*(-1 + 0) - -34 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21049 and 112?\nAnswer: 336784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -1 - (-43 + 46).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a hour in seconds?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) 1 (c) 1\/9 (d) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 2*w - 11*w)*(3 - 2 - 2).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**8\/420 + 3*m**7\/280 + m**6\/60 + m**5\/120 + m**3\/6 + 2*m. Let u(v) be the second derivative of z(v). Factor u(g).\nAnswer: g*(g + 1)**2*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -77 > -1229\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19\/205 + -12\/41. Which is the second smallest value? (a) k (b) 3 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86516944 to the power of 1\/2, to the nearest integer?\nAnswer: 9301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 0 - 7) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = -l. Solve 4*g + 1 = -l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 5:08 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 3*d**2 - 6*d - 2. Suppose -2*i - 2 = 6. Let r be g(i). Let h(v) = v**2 - 5*v - 8. What is h(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -478 - -480. Let k be -1 + (6\/(-20))\/(12\/(-88)). Find t such that 0 - k*t**3 + 0*t + 0*t**z = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**6\/24 - 5*d**5\/6 - 85*d**4\/24 - 20*d**3\/3 + 20*d**2 + 25*d. Let m(y) be the first derivative of z(y). Factor m(j).\nAnswer: -5*(j + 1)**2*(j + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -7*a**3\/3 - 1. Let w(g) = 2*g. Calculate r(w(k)).\nAnswer: -28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9994 and -1.58?\nAnswer: 15790.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 304164.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -5, 0.4, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11081039?\nAnswer: 2437, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17300?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 121. Let d = -239 + 234. What is the tens digit of w(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 - 108146*m**3 + 108153*m**3 - 6*m**2.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -10, -48, -6 in decreasing order.\nAnswer: 5, 2, -6, -10, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 15) + 7 + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -886, -1772, -2660, -3550?\nAnswer: -4442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(-n - 2*n + 5*n + (2 - 5 + 0)*(-2*n + 0*n - 5*n) + 0*n - 5*n + 4*n).\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s = 97592 - 5152968. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.189 times 0.42\nAnswer: -0.49938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4672)\/(-36) - 2\/(-9). Let o = d + -73. Suppose -5*a - 3*g = -o, 5*a + 5*g - 58 = 3*g. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqfqppfnpppf. Give prob of picking 2 n.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/5 - 386*b\/5 - 1512\/5.\nAnswer: -2*(b + 4)*(b + 189)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16926*s**2 - 9735*s**3 + 16926*s**2)*(s + s - 4*s) as g*s**3 + u*s + y*s**4 + q*s**2 + v and give y.\nAnswer: 19470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9\/5 (b) -5 (c) 0 (d) -3\/2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 3*n - 4*n + (4 - 3 + 1)*(3*n + n - n) + 0*n + 2*n - n)*(5*n - 2*n - 5*n + (n + 5*n - 4*n)*(1 + 1 - 4))*(-2 + 0 + 3).\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 1184?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.6536 milligrams in grams?\nAnswer: 0.0446536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2736, 2077, 1604, 1323, 1240, 1361?\n\"Answer: t**3 + 87*t**2 - 927*t + 3575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 - 3\/(-6)*-4. Let y = u + 15. Calculate the highest common factor of y and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4 - 4*z - 1 + 6 - z**2 + 12. Let p be w(-7). Suppose p = -2*v + 2*y + 4, -6*v - 3*y + 29 = -2*v. Solve -3*x + 5*h = 1, -7 = -5*x - h + v*h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2301088 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 381932483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -8. Solve -o = -2*k - 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -72, -96, -118, -138, -156, -172?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1144 (b) 3 (c) 1 (d) -120\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**2 - 33*y. Let n(m) = -m**2 + 9*m. Let v(g) = -22*n(g) - 6*t(g). Let o(u) = -u**3 - 11*u**2. Give 4*o(j) - 22*v(j).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3edba (base 15) to base 3.\nAnswer: 101021101211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qlffldddfldublffd. What is prob of picking 2 l and 1 b?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 16. Let w = -33 + 35. Suppose q + w*q = l. Solve n = -4*s - 0 + 3, -5*n = 3*s + q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 24*l**2 - 44*l. Let n be o(-22). Let z(m) be the first derivative of 1 + n*m**2 - 2*m - 4\/3*m**3. Differentiate z(u) with respect to u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127004 times -0.22?\nAnswer: 27940.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (18 - 5)) + (-2 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*sqrt(27))\/sqrt(9).\nAnswer: -2 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {h: 6, q: 1, c: 1, k: 1, g: 6}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -19. Let f be (-30)\/(-4)*4\/5. What is the greatest common factor of f and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 1. Let s(o) = 3*o + 6. Suppose -2*d + 18 = -2*p, 0 = -p - 0 - 3. Let t(c) = d*j(c) + s(c). Calculate t(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 14. Which is bigger: 1\/4 or c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 7) to base 4\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2870965 or 3?\nAnswer: -2870965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402 - 2 = 40*p. Let a(w) = 10*w - p*w**2 - 10*w + 2*w - 2*w. Let t(c) = -9*c. Give a(t(y)).\nAnswer: -810*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1046536?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2499 + 7203. Is i a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3\/8 - 57*m**2\/8 - 108*m - 377\/2 = 0. What is m?\nAnswer: -29, -26, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3782051, 7564346, 11346641, 15128936, 18911231, 22693526?\nAnswer: 26475821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 20383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + 0 + sqrt(425))**2 + ((sqrt(68)\/(sqrt(8)\/sqrt(2)) + sqrt(17))*-2)**2*-5.\nAnswer: -120*sqrt(17) - 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 8 = -5*h, 0 = 52*n - 55*n - 3*h + 12 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540*a = 139*a - 1299 - 305 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3202194.\nAnswer: 2, 3, 113, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7786302 millilitres in litres?\nAnswer: 0.0007786302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 17*g**3 + 43*g**2 + 2*g - 14. Let p(r) = -7*r**3 - 22*r**2 - r + 7. Calculate 2*n(l) + 5*p(l).\nAnswer: -l**3 - 24*l**2 - l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*l - 20*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002073452 rounded to six dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + b = 1, -106*g = -103*g - 2*b - 19 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 179135?\nAnswer: -2\/179135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 g when three letters picked without replacement from {k: 9, g: 11}?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 237\/2570 - -2\/257. Let y(r) be the second derivative of -r - 1\/4*r**4 + 0*r**3 + 0*r**2 + 3\/10*r**5 + 0 - w*r**6. Let y(a) = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232719 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53705358.\nAnswer: 2, 3, 7, 426233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21771209 to the power of 1\/3, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 847 and 142871960.\nAnswer: 142871960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -223 + 224.99. Let r = p + 0.01. Let o = r - 3. Which is the third smallest value? (a) -3 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.022 - 1.278. Let a = 1.8 + f. What is the biggest value in -3\/7, 4, a, -0.02?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -4, 195\/68, 1\/4, -5, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2*p)*(3*p + 2 - 2)*(0 - 1 + 0) as l*p**2 + k*p + o and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 4*t**3 - 26*t**2 - 40*t - 41. Factor d(o).\nAnswer: 4*(o - 5)*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*m + b + 70 = 0, 4*b - 80 = -2*m. Let s be (-4)\/5*(-2250)\/m. What is the greatest common divisor of s and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2 - 3*w + 2. Let k(s) = 3*s**2 + 3*s - 6. Let y be k(-4). Let v be (-12)\/(-9)*y\/5. List the prime factors of n(v).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*r**2 - 126*r**2 + 1228*r**3 + 255*r**2.\nAnswer: 1228*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 821*i - 7799281 + 7799281 to the form x + j*i and give j.\nAnswer: 821","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2373 and 1356?\nAnswer: 9492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 690198 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: What is the thousands digit of 30575315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 618654 (base 11) to base 10.\nAnswer: 992380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4107003 by 3.\nAnswer: -1369001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2421 + -401540?\nAnswer: -355115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -152.75 times -1.2\nAnswer: 183.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 241 + -508. Is (396\/54)\/(0 - 2\/w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 4) to base 8\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-41 - 6)*2 + -5. Let d be (46\/(-132) + (-18)\/b)*-9. Factor -3\/2 + d*z**2 + 0*z.\nAnswer: 3*(z - 1)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.869413409 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h + 5 = 15*h. Suppose 15 = 4*d + 4*m - 37, -h*m - 43 = -d. Calculate the least common multiple of d and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7419 - 7418. Which is the closest to 7? (a) -1 (b) 0.5 (c) 1.5 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 - 8*z**3 + 31 - 2*z - z**2 + 3*z**4 + 9*z**3 to the form a*z**3 + v + r*z + q*z**4 + d*z**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g*g**(4\/11)*g)))**(1\/54))**(-8\/3) assuming g is positive.\nAnswer: g**(-104\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -4. Suppose -3*w = k - m*k + 7, 4*k + 4*w = 28. Suppose 2*n + 5 = -3*t + 6*t, -5*n + k*t - 2 = 0. Solve n*c = 3 - 13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220964 (base 11) in base 3?\nAnswer: 122220121011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**3 - 24*s**3 + 37*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 2*c - c)*(-4374*c**2 + 6115*c**2 + 2322*c**2 + 7042*c**2).\nAnswer: 11105*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**5 - 46*j**4 + 276*j**3 - 188*j**2 - 278*j + 234 = 0?\nAnswer: -1, 1, 9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -5 - (5 + -1)) + (26 - 27).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106 - -105.51. Let l = j - 0.33. Round l to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c + 1. Let v(a) = 101*a - 127. Let j(h) = 2*v(h) + 2*y(h). Differentiate j(r) wrt r.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*-2*2\/12. Let r be (b + 18\/(-4))*-2. Let n = r - 4. Calculate the remainder when 12 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a second in milliseconds?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20)\/(-80))\/((-1)\/(-12)). Put -12, z, 5 in descending order.\nAnswer: 5, z, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1272 - -0.5272. What is the closest to 0 in n, 0.1524, -2?\nAnswer: 0.1524","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cy when two letters picked without replacement from {y: 2, m: 9, c: 8}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4*z**(-5\/2)*z)**(-1\/21) assuming z is positive.\nAnswer: z**(-5\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -141 - 1?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 0.14 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from gggpgpgggpgg?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w. Let d(s) = 6851*s**2 - 2*s - 85. Calculate t(d(u)).\nAnswer: 20553*u**2 - 6*u - 255","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*z - 22*z - 245*z = 72*z + 22640 for z.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r + 24*r = -3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 3:19 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 563*m + 553 wrt m.\nAnswer: 563","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7571?\nAnswer: 67, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -490 - -500. What is the greatest common divisor of a and 890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98965 is divided by 505?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58 - 146. Let b = 144 + n. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*l + 3 + 1, -14 = -4*g + 2*l. Suppose -o - g = -6*o - 5*x, 5*x = -o - 3. Is (-3)\/6 - (-53)\/o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**8\/1176 + 17*v**7\/735 + 19*v**6\/70 + 9*v**5\/5 + 207*v**4\/28 + 135*v**3\/7 + 145*v**2. What is t in q(t) = 0?\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17854 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57.18 - -58. Let h = m - 0.6. Let l = h - -0.08. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**3\/6 - m**2\/2 + 8*m. Let s be f(5). Suppose 5*g = -2*i + 25, -s*g - i + 20 = -2*i. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -117.5? (a) 0.3 (b) 3.7 (c) -65\/6 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 239, 236, 233, 230, 227, 224?\n\"Answer: -3*x + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 1. Calculate the remainder when 7 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 118 - 121. What are the prime factors of (-1)\/(-3*r\/(-2745))?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -24*n**2. Let s(y) = y. Determine s(j(h)).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7568?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 17*p + 633. Determine d(-37).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 2, -9.2, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -39, 19, 147?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wf when two letters picked without replacement from {w: 1, k: 1, y: 1, i: 1, f: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 926342616 to the nearest integer?\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.812008 rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -466*w + 10. Is 29 a factor of b(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*-3*-99*(-10)\/135?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*k**4 + 2*k + 10*k**2 - 10*k**2 + k**4 wrt k?\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5711333.\nAnswer: 53, 107761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 10 - ((-1 - -5) + -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -500 - -510. Suppose -2*m + 132 = -8. What is the smallest common multiple of p and m?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 + 2*z**2)*(-4*z + 3*z + 3*z)*(6 - 1 - 2).\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 30*n**2 + 29*n - 2. Let y be o(-29). What is the tens digit of 3\/(y\/507*(-72)\/96)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 10*u**2 + 7*u + 24. Let f be l(-11). Suppose 4*j + 0 - f = 0. Solve 3*t = c + j, -3*c - 2*t = 3*t - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine sixths of a century?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7*v + 234. Calculate the remainder when 726 is divided by y(26).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 21. Calculate the smallest common multiple of 14 and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-12)*(7 + -7). Is 2\/25733 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-14790867)\/34)\/(-39) - (-6)\/4) + -1?\nAnswer: 5, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 870 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*l + 3*l. Let d = -5 - l. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k + 7. Let w(v) = 9*v - 13. Let h(a) = 4*w(a) + 7*y(a). Let m be 4\/4*(2 + -2). Calculate h(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2. Let x(u) be the first derivative of 209*u**3\/3 - 6336. Calculate x(f(l)).\nAnswer: 836*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 3*s**2 + 4*s + 6. Let d be t(-4). What is the greatest common factor of d and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31530453 is divided by 1718.\nAnswer: 1717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28 * -596.\nAnswer: 16688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-10) + 12\/2. Suppose 0 = 5*i + 2*y - 234, -3*i - 36 = -4*i + g*y. Let f = i - 49. Which is the third biggest value? (a) f (b) -0.3 (c) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 14 = 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p + 6*p - 2*p + (-4*p + 3*p + 0*p)*(-3 + 2 + 0) + 63 - 63 - 10*p + (2*p + 1 - 1)*(-6 + 1 + 3) - 3*p + 0*p - p + 9 + 5*p - 9.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16721\/15 > 1116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + (79 - -11) - 92?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -377251?\nAnswer: 150900.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 21. Does 5 divide (1 - 2)\/(v\/(-50))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11387740 divided by -364\nAnswer: 31285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 6376288.19.\nAnswer: -6376291.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**3 + 85*t**2 - 166*t**2 + 4*t**3 + 86*t**2.\nAnswer: -8*t**3 + 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 - 8*v - 6. Let t be y(-3). Suppose x + 9 = 2*c, -5*x = 2*c + 1 - 4. Solve -c = -t*k + 4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1949 is divided by 317.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 3*m + 0*m + 11)*(-25*m**2 + 25*m**2 - 3*m**3 + 2*m**4).\nAnswer: -2*m**5 + 25*m**4 - 33*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.7, -9, 4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -72*d + 52*d. What is the remainder when 49 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 1. Give j(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven eighths of a kilometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-4 + 1)) + 83 + -96?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-3 + -23 + 1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 177157448*c**2. Let g(o) = o**2. Determine r(g(w)).\nAnswer: 177157448*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6636 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a year in months?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 11 = 5*v. Let k = v - 18. Let d(m) = -m**3 - 10*m**2 - 10*m - 12. Let s be d(k). Is s less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10720 by -2144.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rcdrr.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 131662 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -8 - (14 + 47)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/16 and 214\/48 + (-3)\/(-18).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0569*3\nAnswer: -0.1707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 2*k - 10. Let a(o) = -5*o**2 - 11*o - 51. Give -2*a(x) + 11*m(x).\nAnswer: -x**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 22 - 15 - (0 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 p when four letters picked without replacement from {e: 4, p: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 - -74. What is the lowest common multiple of (9\/6)\/((-18)\/(-12)) and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 108*h**2 + 38*h - 72. What is o(2)?\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44948454.\nAnswer: 2, 3, 181, 41389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**5 - 1271*s**4 + 19*s**3 - 916500*s**2 wrt s.\nAnswer: 60*s**2 - 30504*s + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46 + 5?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - m + 6, -4*m = 7053*y - 7052*y + 36. Find t such that -16\/5 + 2\/5*t**3 + 34\/5*t - y*t**2 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.063 + 0.085. Let i = n + 0.052. Which is the closest to -1\/4? (a) 0.01 (b) i (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.03 (b) 3\/2 (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y - 16*y**2 + 49*y**2 - 36*y**3 - 35*y**2 as p*y + u*y**2 + l*y**3 + h and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 63 = -4*u - y, -4*y + 4 = 0. Suppose 2*a = 5*p - a - 125, 3*a = -u. Calculate the lowest common multiple of 20 and p.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 - 2*v**3 + v**2 - 32*v + 32*v + 7*v**3 + (4 - v - 4)*(-1 + 1 - v**2) - 887*v**3 + 1055*v**3 + 657*v**3 to k + j*v + m*v**2 + x*v**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) -0.2 (c) 1 (d) -19621 (e) -0.1 (f) -19\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 7*i - 9*i - 11, 5*c = -4*i + 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 432 and 7808?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 2*w + 9. Let p be t(6). Suppose 11*y = 7*y + 228. Let k = y + p. Calculate the least common multiple of 14 and k.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-21) - (-9)\/(-7). Is (c - (3 + -893))\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116 + 32. Let v = 1030.061 - 882.0783. Let m = i - v. What is m rounded to 3 decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + w - 15 = 0, -4*g - g + 4*w + 24 = 0. Suppose g*l - 28 = 44. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 + -110. Round i to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1321702 bigger than -1321467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 17*f + 72. What is the nearest to 1 in f, -0.1, -2, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -528807 + 134?\nAnswer: -528663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -25*i + 570. Let a be g(23). Sort a, -2, -4, -0.08 in decreasing order.\nAnswer: -0.08, -2, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -12*(1 + (-183)\/186). Let d be (4\/((-600)\/(-610)))\/((-31)\/(-3)). Let r = d + c. Is 3 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 85589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1243*15\nAnswer: -18645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -7*f + 3. Give j(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - r**2 + 2*r - 1. Let y(z) = 29*z**3 - 8*z**2 + 505*z - 7. Let s(f) = -7*j(f) + y(f). Find the second derivative of s(m) wrt m.\nAnswer: 132*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(-2\/17)*s*s)\/s**(-6\/5)*(s\/(s**(1\/2)\/s))**8)**(-5) assuming s is positive.\nAnswer: s**(-1472\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18823 - 36609. Let d = s - -12686. What is d rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*f + 660 = -3*f, 3*f = 0. What is the greatest common factor of 88 and b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j + 32. Calculate the remainder when l(-7) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - 5. Let p be j(-3). Which is the second biggest value? (a) 1\/2 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 0. Let o(z) be the second derivative of z**3\/2 - 2*z**2 + 32*z - 2. Let q(j) = 1. Calculate d*o(s) - 2*q(s).\nAnswer: -3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n**3 - 2*n**2 + 3*n - 2. Let a be u(1). Let t be (-12)\/a*(-4 - (0 - 1)). Suppose -t*k - 12 = -13*k. Solve -f + k = 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -17 (c) 0.03 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 11*g**3 - 4*g - 9*g**3.\nAnswer: 2*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/9 (b) -3\/632 (c) -4 (d) -0.03948\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 h, and 1 c when three letters picked without replacement from hbbuc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 105735 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -19. What is the greatest common divisor of 15 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -70, -183, -346, -559, -822, -1135?\nAnswer: -1498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9 - -1)*(-4)\/(-8). Sort 4, -0.3, s.\nAnswer: s, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -16, -50, -116, -226, -392?\nAnswer: -626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**7))\/i*i*i**11)\/(i**17)**(-23) assuming i is positive.\nAnswer: i**395","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2133991954 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5214*f*l**4 - 3*f*l**2 - 10421*f + l**4 wrt l?\nAnswer: -20856*f*l**3 - 6*f*l + 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 443641 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/15 + (-50)\/(-125))\/(-3). Is 1\/234 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(1\/5)*z)**(-40)*z**29*z**(4\/5) assuming z is positive.\nAnswer: z**(-491\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lu when two letters picked without replacement from {l: 3, x: 3, z: 3, f: 3, p: 1, u: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25119?\nAnswer: 3, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 12*v**2 - 4*v - 24. Let r be n(-3). What is the highest common factor of 72 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nineteen quarters of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 204.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 696 and 174.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5 + -2 + 2*sqrt(153) - (3 + (sqrt(153) + sqrt(153) + -1 - sqrt(153))*4))**2.\nAnswer: -48*sqrt(17) + 625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 3*t - 116 = 0. Suppose 223*d = 260*d - 6401. What is the remainder when d is divided by t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3673 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 1.9.\nAnswer: 0.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/3506 and -107\/12?\nAnswer: 21036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 6360236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.0362469 + -0.0362469. Let s = 1 - 1.05. Which is the nearest to s? (a) y (b) 1\/5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 8 + -3 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83441 is divided by 152?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25674753 + 1?\nAnswer: 25674754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96.6 + 95.6. Let f = -812 - -25174\/31. What is the closest to p in 0, -4\/7, f?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 210*o**2 + 158. Let t(l) = -2*l. What is t(a(m))?\nAnswer: -840*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(150) - (sqrt(150) - -2*sqrt(150)) - sqrt(150)))**2 + (sqrt(567) - (sqrt(567) - (sqrt(567) + -2))*5).\nAnswer: -2243\/225 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/7)\/((-33)\/(-2)*-1)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90122?\nAnswer: 2, 45061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1619 - -1633. Put -3, -5, -1, k, 2 in ascending order.\nAnswer: -5, -3, -1, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*sqrt(320) + sqrt(320))**2.\nAnswer: 192*sqrt(5) + 2896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -237 - -246. What is the first derivative of 5 + f + 4*k - 22*k + 99*k wrt k?\nAnswer: 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23821.05 rounded to the nearest 10?\nAnswer: -23820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**4\/12 + 2*t**3\/3 + 2*t**2 + t. Let y(w) = 2*w**2 - 7*w - 7. Calculate 7*s(q) + 4*y(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v. Let t be (-11*7\/(-154))\/(6\/(-4))*-3. Let c(j) = 6*j - 7. Give t*c(b) + 4*l(b).\nAnswer: 2*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -12, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1342 + -893. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 4*y - 6*y - 6, 0 = 4*c + y + 3. Suppose c*n + 508 = -4*n. Let f = -89 - n. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114383420 rounded to the nearest 100000?\nAnswer: 114400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 3.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 20.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 133*a - 591*a - 7588 + 7423. Is i(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 670 and 1702135?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqqsqqqqqy. Give prob of sequence syqs.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/88*8\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 312 and 5512?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((12\/(-15))\/(-4)). Suppose 4 = -3*k - q. Let y = k + 11. Solve -4*s + 2 = -w, -2*s - y = 4*w + 3*s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 16, -5, -3 in descending order.\nAnswer: 16, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1003 is divided by 325.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + 0.26510498\nAnswer: 0.76510498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (1 - 1 - (3 - 0)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - c - 4 = 0, -855*c = 5*f + 852*c - 1712*c - 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.853, -6\/311, 1 in decreasing order.\nAnswer: 1.853, 1, -6\/311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 5 = -6*r. Let u(w) = 9*w + 2*w + 2*w**2 + 4*w**2 + 8*w**3 - r*w. Let q(b) = -7*b**3 - 5*b**2 - 8*b. Let c = 5 - 10. What is c*u(a) - 6*q(a)?\nAnswer: 2*a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-45)*(-54)\/(-12))\/(((-4)\/(-2))\/(-44))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 73\/4 of a day?\nAnswer: 438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62405970 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 429\/4 - 108. Suppose -2*j - 12 = 2*j. What is the second biggest value in l, j, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 6 = -0*s. What is the units digit of (s - -1)\/(7\/(-574))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 12 = -5*c + a, 5*a = 5*c + 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -k + k - 2*k**2 + (k - k + k)*(-1 + 9 + 0)*(-8*k - k + 5*k) as z*k + v + m*k**2 and give m.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120218917?\nAnswer: 7, 13, 17, 77711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 187 + -115. Let z = o - 506\/7. Which is the closest to 0.2? (a) 0.5 (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*s - 4, 4*k - 4*s + 164 = 0. Let x = k + 37. Solve x*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20281590 is divided by 170?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -6, 2\/17, 826, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f + 9. Let g(x) = -4*x + 13. Calculate 5*g(y) - 7*w(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36*o - 236*o**2 - 236*o**2 + 2 + 470*o**2)*(2 + 51*o - 4 - 50*o) to the form f*o**3 + w*o + u + h*o**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1264285174?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d = 17*d + r - 7, -3*r = -5*d - 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-4)\/(-2) - (46 - 48). Solve -4*i = -x - 16 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/12)*f*f*f**(-2\/11))\/(f\/(f*(f\/(f*f\/((f*f**(-27)\/f)\/f)*f)*f)\/f*f*f)*f*f**(4\/17)) assuming f is positive.\nAnswer: f**(-61711\/2244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 36 = 3*q. Suppose -15*p + 9 - 87 = -54*p. What is the second derivative of -q*a + 138*a**p - 137*a**2 - 15*a wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + 56 + -87 + -34.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v**2*x**2 + 147*v**2 + 2*v*x**2 + 20*x**2 - 1 wrt v.\nAnswer: 2*v*x**2 + 294*v + 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*x**2 + 9*x**3 - 23*x + 2*x**2 - 9*x**2 to m*x + n*x**2 + l*x**3 + f and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 + 6632105160\nAnswer: 6632105160.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11616, -23361, -35106, -46851, -58596?\n\"Answer: -11745*j + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104097757*p**2 - 102500992*p wrt p?\nAnswer: -208195514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10244251319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + h = 3*h - 31, -o - 4 = -5*h. What is the remainder when 64 is divided by (-4 + o\/5)*85?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15699648 is divided by 253220.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -s + 4*j + 7, -2*s - 3*j = -12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14787 and 2296253767.\nAnswer: 2296268554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*f**2 + 0 + 1 - 1.\nAnswer: 54*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10560)\/(-84) + (-4)\/(-14).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + d - 2 = 55, 53 = 5*n - d. Let u = n + -1. Let o(t) = 37*t**2 - 50*t - 50. Calculate the remainder when o(-1) is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*y - 5*g - 35 = 44*y, 28 = -5*y - 4*g. Solve 4*q + 5*a + 29 = y, -6*q - 5*a - 20 = -11*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 6, 6, 4, 0, -6, -14?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 36. Let p be (12\/c)\/(1\/14). Suppose 0*l + 11 = l + 4*x, x + p = 3*l. Solve i - 1 = l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-524)\/3*-12*7\/56. Let j = 294 - q. Sort -6, j, 4 in ascending order.\nAnswer: -6, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 2*j + 3*j - v, 32 = 3*j + 2*v. Let t = -3 + j. Let x(l) = 9*l + 4. Let z(h) = 5*h + 2. Give t*z(d) - 4*x(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 11*x + 6. What is the tens digit of q(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 - 40. Suppose -3*u = -3*i - 12, -i + 0*i - 4 = u. Suppose -5*m + t + 32 = u. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 8*x + 38. Let l be b(-5). Solve 20 - l = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 55 = 4*v + 4*q, 4*q + 10 = v. Calculate the remainder when 22 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1330.\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 2260*u - 13704.\nAnswer: 4*(u - 6)*(u + 571)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -138, -548, -1232, -2190, -3422, -4928, -6708?\n\"Answer: -137*l**2 + l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1*(-6)\/(-4))\/(63\/42) + 18. Solve 0 = 5*f - d*w + 15*w + 26, f = 3*w - 13 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66471 - -125011. List the prime factors of l.\nAnswer: 2, 5, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/70)\/((-50)\/((-500)\/(-10)))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + -3. Let p(o) = 3*o**2 + 7*o + 2. Let r be p(b). Suppose -5*h - 2*l - 30 = -115, l = 5*h - r. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -90 - (-6 - 26) - -46.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.14764841 times -0.2\nAnswer: -0.029529682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 - 5*w**3 + w**3 + 4*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -1. Suppose 0 = n*f - 5, 4*f + 128 = 5*w + 12. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d = 5*p - 17*d - 15, 2*d + 9 = 3*p. Let l(h) = 8*h**2 + 5*h - 11. Let y(w) = -3 + 3*w + 4 + 4*w**2 - 2 - 5. Determine p*l(a) - 5*y(a).\nAnswer: 4*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 20*j + 42. Let s be v(-2). Suppose 0 = -4*w - 3*y + 315985, s*w + 14*y - 10*y = 157980. What is w rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 37 (c) -2 (d) 2 (e) 2\/13 (f) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2 = -2*q - f, 3*f + 7 = -2*q. Suppose -o = 3*o - 4, 0 = q*d - 2*o - 622. What is the remainder when d is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 + (-122)\/(-68) - -4)*(-4)\/7. Sort j, 335, 0.1 in decreasing order.\nAnswer: 335, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 3*q = -1, -3*q = 54*h - 50*h + 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 729\/4 - 1701\/4*p + 621\/2*p**2 - 149\/2*p**3 - 1\/4*p**5 + 29\/4*p**4.\nAnswer: -(p - 9)**3*(p - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.242452 millennia in years?\nAnswer: 3242.452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*b + 60*b + 2955 + 76*b - 122*b.\nAnswer: 89*b + 2955","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 z when two letters picked without replacement from rzrrzzrrrzrzzprzz?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 5:35 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21150 divided by 1291?\nAnswer: 21150\/1291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(375)*2 + sqrt(375))\/(4*sqrt(48)) - -5*sqrt(50)\/(sqrt(240)\/sqrt(6)).\nAnswer: 55*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 60*(2 + 497)\/((-11)\/(-660)). Round l to the nearest ten thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24323.9 to the nearest 100.\nAnswer: 24300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2346*q + 2166.\nAnswer: 2346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/(-36)*(-139)\/5 and (510\/68 - (1 - -7))\/(1\/34)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**2 + 20*l - 20*l + 3. Let b(t) = -2*t. What is o(b(p))?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y + 49 - 36*y + 239 + 4*y.\nAnswer: -45*y + 288","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 19488479.\nAnswer: 194884790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9670 - 9087. Calculate the highest common factor of f and 473.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*a = 682. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-2))\/(18\/12). Suppose -55 - a = -2*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/16)\/((-53)\/(-106))*(-112)\/(-100)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2895*n + 8381025\/2 + 1\/2*n**2.\nAnswer: (n + 2895)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1305 = 37871\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 32194*y + 1547648. Determine h(48).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**3 + 56*k**2 - 56*k - 23. What is y(27)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 379 + 191 = 99*u. Solve u*x + 427 - 445 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116295924 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 4:12 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.9, 2\/13, -1, 2?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 32 = 312. Find the second derivative of m*a**4 + 7*a**4 - 42*a - 62*a wrt a.\nAnswer: 1116*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h**2 - 2*h + 1. Let g be 3 + -1*0\/3. Is i(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + c**4 + 1 + (-23*c + 4 + 43*c - 17*c)*(-2*c**3 + 0*c**3 + 0*c**3) + 2*c**4 + 0*c**3 + 0*c**3.\nAnswer: -3*c**4 - 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(1\/3)*b*b**(-1\/3)\/b*(b**1)**(14\/3)*(b**(-1\/5)*b\/(b*b**(1\/4)*b))**(-2\/15) assuming b is positive.\nAnswer: b**(293\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**15*o**10\/o*o*(o**18)**(-3\/8) assuming o is positive.\nAnswer: o**(73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + 2 + -2)*-1. Let h be 4 + (-2 - -1 - -1). Is ((-10)\/h)\/(2\/t) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 0*l - 3*l)*(-3*l + l - 2*l + (-231 - 183 + 148)*(-4*l + 0*l + 5*l) - l + 5*l - 3*l).\nAnswer: 269*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 304 - 210. Differentiate 5*i + 8*i - 9*i + z*i + 97 wrt i.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a + 4*a - 2*a)*(1 + 1 + 0) - 25*a + 69 + 35*a - 11*a - 5*a + 5*a + 4*a in the form w + s*a and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6, 8, 12, 18?\n\"Answer: m**2 - m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8564.887ml to litres.\nAnswer: 8.564887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by 39.\nAnswer: 46\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -0.1, 24?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -122. Calculate the highest common divisor of 41 and v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011100111101 + 111?\nAnswer: 1011101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 7990622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-27) + -2*2\/72\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28 - -4?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -624 and -625 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*a**5 + 18430812*a**3 - 318176890*a wrt a.\nAnswer: 80*a**3 + 110584872*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-45)\/6)\/(-3)*2. Suppose d*k + 15 = -5*m, 3*m + k - 1 = -4. Let j(v) = -3*v + m*v + 2*v. Let i(q) = q. Calculate i(j(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(6)\/(sqrt(15)\/sqrt(5)) + -3.\nAnswer: -2 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7162 is divided by 50.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**6\/24 + 7*w**3\/6 - 12*w**2. Find the first derivative of g(d) wrt d.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 5 = -5*y, -5*z + 79*y + 45 = 84*y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 22742833755 and 1337.8?\nAnswer: 22742832417.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + h + 51, -4*z + 42 = -z + 2*h. Solve -z = -4*d - 4*b, 1 = b - 2*b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 - 19 - (-27 + 16 - -15).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 23*f + 374. Let x(i) = 10*i - 1. Let a(o) = -l(o) - 5*x(o). What is a(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2 - (-30)\/14). Let t = y + -4. Suppose 3*j - m = 32, 0 = j - t*j + 2*m + 16. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)*o**8*o**(-1\/7)\/(o**(2\/19)\/o))\/(o**(-4\/3)\/o**2)**47 assuming o is positive.\nAnswer: o**(63209\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/(-48))\/((-2)\/4))\/(6\/54).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-5) - (-12 + 7)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9576 - 6114. Is 29 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (2 - (5 + 6) - -24)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -443 - -468. Calculate the smallest common multiple of 79 and u.\nAnswer: 1975","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 83. Let f = 34 - n. Let y = f - -25. Sort y, 2, -0.3 in ascending order.\nAnswer: y, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - -72*((-2945)\/186)\/(-19).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 101739\/157 + -648. Let d = -293\/1099 - s. Let w be (-1)\/(-3) + (-1)\/3. Is d <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7118083 = 68*s - 7114139 for s.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 - 31*t**2 + 124*t - 69. Let b be k(9). Let f(u) = u**3 - u**2 + u + 1. Let i(r) = -6*r**3 - 16. Let d(a) = -5*f(a) - i(a). Determine d(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -563 - -628. Suppose -6560 = -g*o + 25*o. What is the highest common divisor of o and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a century in months?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1140 and 76.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 507 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - 2. Let i = 0.03 + 0.18. Let j = i + -2.21. Sort j, w, -0.2.\nAnswer: w, j, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 9*a**2 + 7*a - 3. Let x be r(8). Let u = 16 + x. Suppose 3*c - 7 = y - 2*y, -u*c + 17 = -y. Calculate the remainder when 13 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 75\/11 or -27\/3149?\nAnswer: 75\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 3*p - 3*p + 2 - 2 + 2*p - 3 - 2*p + 3 + (0 - 2 + 1)*(-2*p + 3*p - 2*p))*(-175*p**2 - 190*p**2 + 140*p**2).\nAnswer: -675*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 28*c - 152*c - 13.\nAnswer: -124*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 706*f + 70*f + 35964 = -223*f for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-10 + (3 - 1) - -12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/4))**(-32)*z\/(z*z**(4\/7))*z**(4\/5) assuming z is positive.\nAnswer: z**(-1392\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.037, 0.9, 2, -4\/3, 2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 13 = -0*h - h, 5*m + 19 = -h. Let o = 3.17 - 0.17. What is the third biggest value in h, o, 1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13938702)\/(-63882) + 2\/9. Let b = -1529\/7 + r. Let w = 670\/507 - b. What is the closest to 1\/2 in w, 6, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4 + 40*g**3 + 128*g**2 + 152*g + 60.\nAnswer: 4*(g + 1)**2*(g + 3)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054383024 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7103?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106 + 75*h**2 + 35*h**2 - 2*h - 3*h**3 - 150.\nAnswer: -3*h**3 + 110*h**2 - 2*h - 256","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49823437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 396 and 603.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/8 (b) -1\/3 (c) -159\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10045 and 56566265.\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2555 - 12051. Let l = b - -9495.990026. Let p = 0.01 + l. Round p to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 730 (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 808665 and 1437.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11886 is divided by 11812?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 10:08 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/10 + (-4)\/20. Solve -3*j + 0*j = x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 + (8\/6 - 6\/(-9)). Let x(d) = -177*d - 11. Let f be x(c). Suppose -97 = -2*r + 3*q + 173, 0 = 5*r - 2*q - f. Is r a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 9:35 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1442, -2743, -4030, -5297, -6538, -7747?\n\"Answer: g**3 + g**2 - 1311*g - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11041.6300972 + 11065.072. Let f = -23.5219 + l. Let v = f - -0.08. Round v to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366*r**2 - 429308*r + 364*r**2 - 730*r**2 + 429308*r + 293*r**3.\nAnswer: 293*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24277215251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/9473 (b) -5 (c) 1 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 11:13 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.375 - -0.075. Let v = -10 - -15. Suppose -10 = -9*n + 4*n. What is the nearest to 5 in n, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 11:41 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9881630, -9881636, -9881642, -9881648, -9881654?\n\"Answer: -6*i - 9881624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*j**5 - 221*j**4 - 16430*j?\nAnswer: -100*j**3 - 2652*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -2\/5, -12029.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4. Let n(y) = y - 9. Calculate -3*n(f) + 5*v(f).\nAnswer: -3*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -61, 23, 179, 431, 803?\nAnswer: 1319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4455 and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jijiiiiiiijijiijiji. What is prob of picking 3 j?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 - -4)\/(1\/(-1)). Sort 23, l, -3.\nAnswer: -3, l, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 346\/5 - 69. Which is the biggest value? (a) u (b) 5\/3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -30, -58, -106, -180?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/45 - (-28)\/10. Let p = 9 + 15. Solve 0 = 4*l - s*g + 19, -5*l + 4*g - p = -0*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27\/3 - (-4 - -9). Suppose -4 = -2*o + 32. Suppose 0 = -15*q + 9*q + o. Solve -3*r - 21 = 4*v, r - s*v = -q*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 134744\/5 - 2102023\/78. Find the common denominator of y and -113\/390.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 y when four letters picked without replacement from {y: 2, o: 1, g: 7}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1043079 is divided by 347.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62070 and 386865.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - 30 - (52 - 2) - -6) + -9?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 18 = 3*g - 2*p, 5*p - 21 = -2*g. Let r(t) = -t**3 - 2*t**2 - 4*t - 3. Let m be r(g). Let d = 11 - m. Solve d*j + 2 = 4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide (-8602)\/(-69)*((-378)\/12)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/440 and 59\/400?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37180539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -35ba (base 12) in base 15?\nAnswer: -1bd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858473 a multiple of 688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -1\/1428098669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/10 of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 39*k + 336. Give j(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -666.35 + 659.35. Let j = 5 - 10. Which is the second smallest value? (a) j (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 12*x**2 + 22*x - 24. Let d be 4\/(1\/12*-3). Is 18 a factor of c(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 1049*k**2 + 218218*k - 13. Give f(-286).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230460 is divided by 92.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 969984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10702*q**2 + 4585*q.\nAnswer: 21404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q. Let d(a) = 2*a - 74. Let c(b) = -11. Let w(r) = -14*c(r) + 2*d(r). Give w(z(i)).\nAnswer: -4*i + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -122.528 - -112.5342. Let v = w - -10. What is v rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 6:13 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(3\/2)\/r*r\/((r\/r**3)\/r))\/((r**(2\/3)*r)\/(r**(-1\/4)\/r)))\/((r*(r\/r**(-1\/2))\/r*r)**8*r**(-2\/7)*r**(-2)) assuming r is positive.\nAnswer: r**(-1271\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 9*r**2 - 3*r - 13. Let p be w(9). Let f be 3 - p - 2\/2. Suppose u + 5*l + f = 2*u, 4*u = -4*l + 288. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -527511437756 and -0.5.\nAnswer: -527511437756.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(104) + sqrt(104))*3)\/(sqrt(48)\/(sqrt(6)*-2)).\nAnswer: -18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -0*q - 12. Solve q*j = 3*l - 2*l + 14, 3*l = 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 0*a - 5\/24*a**4 + 1\/15*a**5 + 1\/120*a**6 - 9*a**2 + 0 - 5\/6*a**3. Determine o(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3006 + 2*j**2 + 317*j - 3006 + 6011 in the form y*j**2 + s + f*j and give f.\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*n + 8. Let h be (-3 - -2)\/(4\/n). Suppose 0 = -h*x + 4*y + 34, 0*y + 2*y - 40 = -2*x. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 6:40 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 473023 + 0*z + 473971)*(4*z + 7 - 7)*(2*z - 2*z - 2*z).\nAnswer: 16*z**3 - 7584*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 140\/18 + 44\/198. Solve -5*a - 13 = -i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 - 79. Suppose 8*h + 2*t = 3*h - 16, -r*t = 5*h + 10. Which is the third smallest value? (a) -3 (b) h (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 + -42. Solve z*p = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 607*d = 229*d - 57 + 7239 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012010 + 22001200201?\nAnswer: 22000111121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42247, -41794, -41063, -40054, -38767, -37202?\nAnswer: -35359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002412 to 4 dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5757936?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1201301 is divided by 85?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 764288.789 rounded to the nearest 1000?\nAnswer: 764000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4 = j - 2, 0 = 5*j - d + 10. Suppose 0 = -2*x - 4 - 0. Let a be (x - -1)*(-5)\/(-1). Put -6, a, j in increasing order.\nAnswer: -6, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 658 a factor of 703300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 2. Let k(b) = -2*b + 2. Let w(g) = 2*k(g) + 3*u(g). Calculate w(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 3*j**2 + 7*j - 5. Let q be a(4). Let h = 6 + -3. Solve -h*i = -2*b + 3*b + q, -5*i - 11 = b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.6819um in centimeters?\nAnswer: 0.01866819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**0*k**(1\/7)\/k assuming k is positive.\nAnswer: k**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r - 3. Let v(u) = -u - 6. Let p be v(-8). Let x be 18\/8 + (-1)\/4. Let i(b) = 3*b - x*b + 0*b - 1. Determine p*h(o) - 5*i(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1202.\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*o = 3168. Suppose -5*a + 8 + o = 0. Let c = a + -114. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-1)\/(-3))\/((-4)\/(-72)))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 5*o + 3*o - 1 = 8*q + 8 + 21, 0 = 5*o - 30 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbb when three letters picked without replacement from bkmbbkpbb?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 18 = 3*h, 3*a - 4*a - 2*h - 7 = 0. Sort -3, 2, a.\nAnswer: -3, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14, 90, 298, 704, 1374, 2374, 3770, 5628?\n\"Answer: 11*g**3 - g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -5, 44, 103, 166, 227?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22926?\nAnswer: 2, 3, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.2 + 5.2. What is the third biggest value in 3\/4, 15, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-7)\/7*(-2)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 10*l - 45. Determine u(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -14516*u**2 - 143*u + 1. Let x(k) = k. Give a(x(f)).\nAnswer: -14516*f**2 - 143*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -218*x**3 + 8*x - 3.\nAnswer: -1308*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24135.0028 - 24154. Let l = -23.3 - -4.3. Let q = j - l. Round q to four dps.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 3:26 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/310650 and -31\/39452550?\nAnswer: 39452550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 575153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1069*y - 1005*y - 640 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 490627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/8 (b) 4 (c) -0.1 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/39021 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*o - 317*o - 9120 - 3880 for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15842141 divided by 7\nAnswer: 2263163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10*(-16)\/((-288)\/(-27)). Let m(l) = 2*l**2 + 2*l + 5. Let z be m(-1). What is the greatest common divisor of z and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 578*n**4 - 16573504*n**3 + 118805701052*n**2 + 13977313344*n + 411099138.\nAnswer: 2*(n - 14337)**2*(17*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.127 + 0.207. Sort c, 1, 0.1, 2\/9 in decreasing order.\nAnswer: 1, 2\/9, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-65)\/(-5) - 4)\/(12\/664). What is the second derivative of -498*j**2 + d*j**2 - 10*j**3 + 1 - 18*j wrt j?\nAnswer: -60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.87 + 0.13. Let i = -5.2 + m. What is the smallest value in -1, i, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**7\/2520 - s**6\/144 - s**5\/30 + 17*s**4\/6 - 32*s. Let r(m) be the third derivative of z(m). Factor r(x).\nAnswer: -(x + 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 + 15*w - 15*w)*(1526998 - 1526998 + 1377*w**2 + (-w - w + w)*(3 - 3 - w)).\nAnswer: 5512*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + 4*c - 2. Let m be t(-3). Solve 0 = m*s - v + 19, -8*s + 2*v - 26 = -3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**6\/120 + l**5\/60 + l**4\/24 - l**2. Suppose q - 4*i + 7 = 0, -i + 1 + 2 = q. Suppose a = 2*a + q. Calculate p(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3973161\/111800 - 3\/8600. Let c = 521\/26 + z. Calculate the common denominator of 586\/(-160) - 4\/10 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from {p: 1, o: 1, a: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4)*m)**(1\/4)*(m**(1\/3))**(9\/4) assuming m is positive.\nAnswer: m**(17\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5733 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1632 and 480.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/1290 and 113\/5590?\nAnswer: 16770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232361 is divided by 240.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 493, 977, 1455, 1927, 2393, 2853?\nAnswer: 3307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1164 = 3*o - 4*m, -2*o + 4*m - 392 = 380. Let f = o + 584. Does 32 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.31 and 1937.\nAnswer: 1936.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 2 + -18 + -13?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - 8) + (-20 - -21).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5091597 or 0?\nAnswer: 5091597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 8. Suppose -7 = -b + u. Let d(q) = q**3 + 3*q**2 - 4*q + 5. What is the remainder when b is divided by d(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + n - 4 = 0, 8*c - 3*n + 20 = 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 8*y**2 + 6*y + 10. Let c be p(7). Let k = 5 - c. Solve -3*a + a - 8 = -k*n, -3*n = 5*a + 12 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 5*r - 19, 3*r = 4*z - 3*z + 21. Let w be ((-6)\/((-90)\/(-1405)))\/((-2)\/z). Does 8 divide (-2)\/14*w + (-5)\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.35 * 0.4.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2717, 2669, 2547, 2315, 1937, 1377, 599?\n\"Answer: -6*c**3 - c**2 - 3*c + 2727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/11 - 3\/77. Let n = j + -25\/28. What is the third smallest value in -1, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -8686\nAnswer: -1\/8686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 1371?\nAnswer: 8226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 7. Let v be q(6). Let k = 12 + -18. What is the units digit of -3 - ((v - -1) + k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1505173 rounded to two decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1467 and 76090845?\nAnswer: 228272535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, r: 3, a: 3, v: 1, z: 2, f: 1}. Give prob of sequence fpr.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 919876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30027, 30095, 30209, 30369, 30575, 30827, 31125?\n\"Answer: 23*b**2 - b + 30005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t - 20 = -12*a + 17*a, -2*t = -2*a - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38259 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.12000048 + 0.12. Round y to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - y + 24, 5*v - 9 = -4*y + 12 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(-6)\/9 + -10. Let u = 11 + q. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + -20 + -15 + 86?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**5\/15 + v**4\/12 - v**3\/3 + 4*v**2. Calculate the remainder when 29 is divided by j(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-150)\/(-105)*(-42)\/(-5). What is the highest common divisor of 246 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20, -23, -30, -41?\n\"Answer: -2*n**2 + 3*n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - -1*(-4)\/(-1). Let s(r) = o + 0 - 2 - 2. Let v be 0 + 1 - (0 + 0). Let c(h) = 2*h**2 + h + 2. Give v*c(g) - 2*s(g).\nAnswer: 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s - 23. Determine p(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**3 + 2540*o**2 + 260505*o + 7580790 = 0. Calculate o.\nAnswer: -382, -63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.2 - -0.2. Let n = -1.681 - -2.081. Put b, 0.2, n in descending order.\nAnswer: n, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/8))**(-28) assuming l is positive.\nAnswer: l**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, b: 5, x: 4}. Give prob of picking 1 e, 2 x, and 1 b.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/sqrt(225))**2 - (sqrt(2) + 4 + sqrt(32)))*-2.\nAnswer: 196\/25 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 300 divided by -12\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/210*(5\/(-2)*-3)\/(-3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 61.6166.\nAnswer: -61.8166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7178 is divided by 2993.\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7546 - 7524 - 4*q + 15070.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 4*s - 5. Let m = 40 - 34. Suppose -26 + m = -5*y. Determine v(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 + 23*w - 1. Let u be a(-17). Let x = 4 + u. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxu when three letters picked without replacement from {k: 4, x: 3, u: 4, s: 1, o: 7}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*w - 11 = 0, w - 6*w = 0. Suppose 2*u - 6*j - 18 = -j, -2 = 2*u + 5*j. Calculate the least common multiple of u and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 1:16 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2947 by -193.\nAnswer: 2947\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 10*s - 4. Let o be j(6). Let v be (-24)\/(-3)*(-1)\/(-2). Solve v*c + 0*c = o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 906 - -26. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v. Let b(a) be the third derivative of -7*a**6\/360 - 13*a**3\/6 - 7*a**2. Let y(w) be the first derivative of b(w). Give r(y(c)).\nAnswer: -35*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 252 divided by 6\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 8:15 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/25 + 9\/10. Sort w, 5, -1\/4 in increasing order.\nAnswer: -1\/4, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1909*0.2\nAnswer: -381.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4d (base 15) in base 13?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/2299 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(-5 + (-4*(sqrt(200) + 1) - (sqrt(200) + (sqrt(200) - (sqrt(200) - -2*sqrt(200)*3)) + sqrt(200))))**2.\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3714 - -111409\/30. Calculate the common denominator of 151\/18 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from bttbbbttkbtbtbbptb.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a factor of 60396085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.4, -3\/4, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53*r**4 - 191903*r**3 - 14364146*r?\nAnswer: -636*r**2 - 1151418*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26 * 5.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mivivvlrv. What is prob of sequence mi?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8327, -16652, -24977, -33302, -41627, -49952?\n\"Answer: -8325*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 8*n = -3*n - 1679, -n - 829 = 2*f. Let t be (-2 - 37498)*f\/12. What is t rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*j + 5*j + 0*j)*(0 - 11*j**2 - 7*j**2 + 1) to the form a + z*j**3 + d*j + r*j**2 and give z.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-4 + -1 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmmmnnnninminmiin. What is prob of sequence mn?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56150?\nAnswer: 2, 5, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 107*q - 108*q + 215*q - 885.\nAnswer: -2*q**2 - 885","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -91 - -133. Suppose -5*i + 272 - r = 0. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, -125, -2, 2, 183, 5 in descending order.\nAnswer: 183, 5, 2, 0, -2, -8, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6738652 to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*8*(-18)\/3024.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4429\/6 - -2363\/3. Suppose -5*t = 4*i + 2, 0 = 5*i - 4*t - 9 - 9. What is the common denominator of (-271)\/(-45) + i\/(-9) and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.7235 - 0.2765. Which is the smallest value? (a) v (b) -2\/13 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34532848?\nAnswer: 2, 7, 17, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) 8 (b) 1 (c) 0.1 (d) -3344\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3341304 a multiple of 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/42*(-387)\/(-258))\/(4\/(-42))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -83, -165, -271, -413, -603, -853, -1175, -1581?\n\"Answer: -2*n**3 - 68*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {n: 4, f: 6, q: 4}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 852531 is divided by 956?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 95 = -475. Suppose o = 2*w + 2*w. List the prime factors of w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28804829 is divided by 10740?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**3\/3 + j**2 - 3*j + 8. What is l(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate w**2*y + 4*w**2 + 10*w*y - 712*y wrt w.\nAnswer: 2*w*y + 8*w + 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o + 23 = -5*z - 20*o, 3*o = 5*z + 27 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -6*g + g + 37, -4*g - 3*x = -34. Suppose 2*b - g*b = -10. Let t be b\/8 - 299\/1564. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2. Let h be 18\/4*(-6)\/9. Let k(w) = 8*w**2. Let c(s) = h*k(s) + 21*m(s). Let r(b) = 2*b**2. Give c(r(p)).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1035, 2081, 3141, 4221, 5327?\n\"Answer: a**3 + a**2 + 1036*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 676038, 3, 1\/4 in ascending order.\nAnswer: 1\/4, 3, 676038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 11*w + 3. Let p(c) = -68*c**2 - 1170*c - 210. Let a be p(-17). Let y(l) be the first derivative of 50*l**2 + 28*l - 1. Determine a*o(i) - 3*y(i).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/961 and ((6\/(-4))\/((-50)\/(-140)))\/((-1116)\/(-45)).\nAnswer: 3844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/18*3)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/2540 and 139\/6.\nAnswer: 7620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/(10\/60).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19140592 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 997, -163, -940 in increasing order.\nAnswer: -940, -163, 997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -372 divided by -3.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - y + (-1 + 2 + 0)*(-2*y + y - y) + 4*y - 5*y + 3*y + (3 - 3 + 6)*(-3 + 1 + 1)*(1 + 1 - 5)*(-150*y + 2*y - 38*y).\nAnswer: -3349*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 536.\nAnswer: -3\/536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 + 10*w**3 - 600*w**2.\nAnswer: w**2*(w - 20)*(w + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, a: 2, l: 2}. What is prob of sequence ls?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m + 3. Let w(s) = -6*s + 34. Let x(u) = -5*u + 42. Let i(y) = 6*w(y) - 5*x(y). What is 2*i(l) + 5*p(l)?\nAnswer: 3*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)\/(sqrt(8)\/sqrt(2)) - (-2 + sqrt(304) - sqrt(19)))*5)**2.\nAnswer: -200*sqrt(19) + 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -32, -241, -590, -1085, -1732, -2537, -3506?\n\"Answer: -t**3 - 64*t**2 - 10*t + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**5*o**(-11\/3)*o*o*o\/o**(2\/13) assuming o is positive.\nAnswer: o**(-227\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(1\/3))\/(v\/v**6)*(v*v**(2\/5))**(-1)*((v**(-2\/21)*v)\/(v\/v**(-6\/7)*v))**(26\/5) assuming v is positive.\nAnswer: v**(-206\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*b)*(22*b + 175*b**2 - 350*b**2 + 166*b**2).\nAnswer: 18*b**3 - 44*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12171 or 12157?\nAnswer: 12171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 4) + (-1 - 2 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -436 = 12*o - 6532. Calculate the least common multiple of 4 and o.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (125*q + 42*q - 3*q)*(-2 + 0 + 0).\nAnswer: -328*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4861025*q**4 + 1741247*q + 1.\nAnswer: 58332300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72776 is divided by 10392.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) 3\/4 (b) -1 (c) -128 (d) 11 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -298 + 300. Solve -2*r = -r + g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1007616 and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54634 and 5745830?\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*f - 4*d, 1 = -2*f + d - 3. Suppose 0 = -283*q + 337*q. Put f, -1, 2, q in descending order.\nAnswer: 2, q, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -3615309\nAnswer: 5\/3615309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-133 - 516*v**2 + 81 + 52)*(v**2 - v**2 - 2*v**2).\nAnswer: 1032*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 5*k**2 + 5*k. Let h be n(6). Let y(t) = t**3 + 1 - 3 + 7*t**2 - 5 - 8*t. Is y(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 66*v**2 - 7*v**4 + 38*v**4 - 10*v**4 - 894 - 78*v**2 wrt v.\nAnswer: 84*v**3 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 22 + 127*z**3.\nAnswer: 127*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23551222363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2 + 6*a + 16 = 0. Calculate a.\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11069820 divided by -245996.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/88)\/(((-1161)\/(-7740))\/((-2)\/(-5))).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m - 17*m = -10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 46976\/176160*110\/16\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 5, -2, 1, -14 in descending order.\nAnswer: 5, 1, -2, -14, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2*6\/(-10))\/((-15)\/(-50))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -52 and 0.118.\nAnswer: -6.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/9))**(2\/13)\/(o**(-1\/11)\/o*o\/o**(-3)) assuming o is positive.\nAnswer: o**(-3700\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 + 4 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 217, 2229, 5489, 9991, 15729, 22697, 30889, 40299?\n\"Answer: -l**3 + 630*l**2 + 129*l - 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1631793?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c8 - -319?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 6335085?\nAnswer: -6335089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -1\/21, -0.4, -0.25?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 742*p**2. Let d(q) = -2*q. What is d(z(m))?\nAnswer: -1484*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-3 + 4 - 3)*(21 + f + f + 19).\nAnswer: 4*f + 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and (-3)\/18 + 1001\/66.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 11*d**2 - 3*d - 5. Let r be y(-11). What is the third derivative of r*m**6 + 122*m**2 + 699 + 17*m**6 - 699 wrt m?\nAnswer: 5400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 5:41 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(1\/5)*m*m)\/(m*m**(4\/3)))\/(m**5\/m**(1\/2)))\/((m\/(m\/m**(-1)))**(-8\/3)*m**(-5)*m\/m**(-6)) assuming m is positive.\nAnswer: m**(-93\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 300330321 + 12?\nAnswer: 300330333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20322110.\nAnswer: 2, 5, 23, 149, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 239*i**2*q + 5*i**2 + 189964*i + 702757*q - 23 wrt q?\nAnswer: 239*i**2 + 702757","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2 + 41*l - 214. Determine a(7).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 z, and 1 s when three letters picked without replacement from {c: 1, r: 1, s: 1, o: 2, z: 1, k: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 + -12202151?\nAnswer: -12202205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/9*2\/(-5). Let y = 3.5048 + -0.5048. What is the nearest to o in y, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77140206 or 77140207?\nAnswer: 77140207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 88 = -5*f. Let s = 23 - f. Find l, given that 8*l**4 + l**2 + 0*l + 0 + 11\/2*l**s + 7\/2*l**5 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30963056.00103 + 30963223. Let a = 3.78 - -163.22. Let u = o - a. What is u rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a47 (base 13) to base 6.\nAnswer: 12033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1133364000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 137904 and 201552?\nAnswer: 2620176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33551193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*r + 4674000 = 53*r. What is r rounded to the nearest ten thousand?\nAnswer: -2340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7080320 divided by 13\nAnswer: 544640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 11*r**7\/42 + 4*r**3 - r**2\/2 - 32*r. Find the second derivative of d(a) wrt a.\nAnswer: 220*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -622.53?\nAnswer: -622.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.73 + 30.97. Let k = -41 + x. Let r = k + -9.2. Round r to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b**3 + 25*b**2 + 33*b - 12. Let w be i(6). Suppose 5*h + 10*x - 5*x = -635, 650 = -5*h - 2*x. Is 5\/w + -1 - 254914\/h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32.3617 + -3.3617. Which is the smallest value? (a) m (b) -7 (c) 3 (d) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -6 + 0 + -10 + 18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.95859 - 0.03459. Let s = 15 - k. Round s to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*l + k + k, 4*l + 20 = 2*k. Let p(g) be the first derivative of -g**3\/3 + g**2 - 4*g + 117. Give p(l).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**3\/6 - 638*m. Let u(c) be the second derivative of -61*c**3\/6 - c. What is u(g(v))?\nAnswer: -61*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 79 = -104, v - 17 = 4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - k**2 - k. Let c be i(-2). Let n = c - 1. Let g be 64\/6 - n\/(-15). What is the highest common divisor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63148292 to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-208 + 104 - 326)*(-2*h + 0*h + 2 + 4*h) + (1 + 1 + 0)*(2*h + h - 4*h) - 2*h + h + 0*h to q*h + p and give q.\nAnswer: -863","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96193*i**2 + 288491*i**2 - 96151*i**2 - 96147*i**2 - 4*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 216613.332 seconds?\nAnswer: 2.50709875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 3) to base 12\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36362\/(-9) + (-4)\/(-18). Round x to the nearest one hundred.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 20*h + 44. Let b be p(-22). Suppose -5*z + 19 = 3*x, 2*x - z = -b*x + 17. Solve -2*i - 5*s + 3 = -x, 0 = 4*i + s - 13 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-4) - (3 + -4). Let s be (8\/(-10))\/(5\/(-25)). Let n = 3 - s. Which is bigger: n or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (0 + (13 + 22 - -7))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 192784 = -70375. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 - 59.57. Let g = v + -0.03. Sort 2\/7, -0.3, g in descending order.\nAnswer: g, 2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4422545466?\nAnswer: 2, 3, 557, 1323323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnnnununq. Give prob of sequence uqn.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -150d9 - -5?\nAnswer: -150d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -468 - -2342\/5. Factor 0 - q*d - 2\/5*d**2.\nAnswer: -2*d*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 97640\/27 and 3615 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 321 - 195. Calculate the highest common divisor of 14 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 2*u + 10, 2*y = -u - 305 + 297 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 924474179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**2 - 88*c - 891. Let u(q) = -3*q**2 - 89*q - 891. Let i(l) = 5*a(l) - 4*u(l). Find the first derivative of i(h) wrt h.\nAnswer: -6*h - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 + 13*s - 22. Let n be ((-72)\/10)\/(-3) - 78\/195. Let r be v(n). Are 8 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 827*o**9\/126 - o**5\/60 + 17*o**4\/4 + 5*o**3\/3 - 16*o**2 - 6. Find the third derivative of d(t) wrt t.\nAnswer: 396960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.17 + -0.12. Let v = 120 + -119.9465. Let o = y - v. What is o rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -3, 21 in increasing order.\nAnswer: -42, -3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*21.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -100.6804 and 65.7?\nAnswer: 166.3804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2617786 (base 9) to base 13\nAnswer: -3b0865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3228184.\nAnswer: 2, 113, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 3*s = -26, 128*y = 132*y + 2*s + 26 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 2 - 2*d + 0*d + d - 4*d**2. Let g(m) = m**3 + 10*m**2 + 8*m - 13. Let s be -11 + 3 + 1\/(-1). Let b be g(s). Give l(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -43358.\nAnswer: 3\/43358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.6321016 - 0.1162.\nAnswer: -10.7483016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12201266 and 5698?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 12 - 2 - 15*l as h + p*l and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 8*m**4 - 75*m + 78*m + m**4 + m**2 to a*m**2 + g + j*m**4 + f*m**3 + i*m and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657928 is divided by 910?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3359.9517 to the nearest 100.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94442624.\nAnswer: 2, 191, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37185 and 670.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 53874610.\nAnswer: 1\/10774922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37628229101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -168\/19 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15, -1, 31, 87, 173, 295, 459?\n\"Answer: l**3 + 3*l**2 - 2*l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -251241 (base 9) to base 3.\nAnswer: -21201021101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 274938.1 + -2292324.1. Let z = -2017387.399999 - f. Let d = 1.4 + z. Round d to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -108*x - 1. Let d = -1948 - -1947. Give q(d).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*l + 220 = -212 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 91, 139, 189, 241, 295?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9*f - 5. Let s(o) = -8*o - 5. Give 5*s(y) - 4*u(y).\nAnswer: -4*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*b + 3495 = b, p - 2*b = 685. Let l = 1014 - p. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 423676, 847347, 1271018?\nAnswer: 1694689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 58 (b) -0.3 (c) 4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - a - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -225275 * -84.7\nAnswer: 19080792.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(72)*1 + sqrt(2))**2 - ((sqrt(4)\/(sqrt(2) + sqrt(4)\/sqrt(2)) - sqrt(2))**2 + 0)) + 5*5*(-1 + sqrt(162))*-1.\nAnswer: -225*sqrt(2) + 1029\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 893606 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -109, -112, -115, -118?\n\"Answer: -3*a - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/9))**2*(u**0)**(-37)*(((u\/u**(2\/15))\/u)**(-4\/5))**(-3\/2) assuming u is positive.\nAnswer: u**(314\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2098583000 rounded to the nearest 1000000?\nAnswer: -2099000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 526718?\nAnswer: -526719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*y - 48*y - 16 = 0. Let k(d) = 5*d - 19. Let w(f) = -3. Let z(l) = y*k(l) + 5*w(l). Let i(n) = 3*n - 2. What is -7*i(c) - 4*z(c)?\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*5*(-4*sqrt(152) + sqrt(152) - sqrt(152))*2)\/((-4*(sqrt(256) - sqrt(256)*4 - sqrt(256)))\/sqrt(8)).\nAnswer: 15*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3302 and 546234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1564, -3123, -4680, -6235?\nAnswer: -7788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 11 = 12. Let b(f) = -2*f**2 + 1. Determine b(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723 is divided by 71.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*b = 150. What is the common denominator of -17\/11 and b\/(-4)*60\/81?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001010 - -1011101?\nAnswer: 10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*q - 4, q - 3 = -2*q. Suppose 0 = -3*w - z + 114. Calculate the remainder when w is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-33) - (-8)\/44. Suppose -3*x + u = -73, 0 = -x - b*x + 5*u + 43. What is the remainder when 57 + 4 + (-12)\/6 + -5 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16070 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 45*u - 88*u + 41*u. Let d be 7\/(3*3\/9). Determine n(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(8\/7))**(-3) assuming o is positive.\nAnswer: o**(-45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -461325 minus -0.1?\nAnswer: -461324.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 - (-485 + 491)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*n)*(318*n + 1309*n + 3 + 1955*n - 3) to a + w*n + l*n**2 and give l.\nAnswer: -7164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 414, 665, 990, 1425, 2006?\n\"Answer: 6*s**3 + s**2 + 206*s + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 102 divided by 6\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5628.045 - -0.0310087\nAnswer: -5628.0139913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2 + c + 0)*(0*c**2 + 4*c**2 - 2*c**2) - 4*c**3 + 24*c - 8*c + 10*c**3 - 2.\nAnswer: 10*c**3 - 4*c**2 + 16*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -5. Let m(g) = g**2 + 31*g + 215. Let b be m(-11). Put b, i, 0 in increasing order.\nAnswer: b, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*a + 126 = -45*a + 446 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10474 - 10340. Which is the nearest to 0.2? (a) 3 (b) v (c) -1\/4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6070.453 and -0.26?\nAnswer: -1578.31778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 3*r + 20 = 0, -4*v + r = -2*v + 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12931 = -3*b - 1378. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 5*s - 3, 467 - 463 = -z + 2*s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 94 or -133?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15188 - 14054 = -21*n for n.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.05 - -610?\nAnswer: 608.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 724*z**2 - 565 wrt z.\nAnswer: 1448*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*c**2 - 3*c**2 + 35*c - 39*c)*(-5*c + 5*c - 3*c) in the form o*c**3 + f*c + x*c**2 + k and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2110044?\nAnswer: 2, 3, 175837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -4, 0.1, -3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 33. Suppose -60 = -l*z + 82. What are the prime factors of z?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -629 - -598. What is the closest to -1 in 2.6, -3\/7, v?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 0, 108, -21654 in increasing order.\nAnswer: -21654, -1, 0, 3, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (3 - 8 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -7, 2, -3, 564134 in increasing order.\nAnswer: -7, -3, 2, 12, 564134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 70530 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29b + c?\nAnswer: 2aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-48)\/32 - (-3 - 2). Let s(j) be the first derivative of 0*j + 4 + d*j**2 - 2\/3*j**3. What is the second derivative of s(f) wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1216997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in -1\/11, 4, 3, -3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3) + sqrt(5))*-4 + sqrt(245)*-1 + ((sqrt(80)*1)\/sqrt(4) - sqrt(20))\/(sqrt(40)\/(sqrt(10) + sqrt(20)\/sqrt(2)) + sqrt(4)).\nAnswer: -15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-105)\/(-2) + (-4)\/(-8). Let b(q) = -q + 13. Let t be b(11). Suppose -t*k + 6 = -4. Solve 0 = 4*n + 3*c - 31, -k*n - 3*c = -h + 18 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2*c = -22, 2*r = 3*r - 4*c + 9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 45*q - 414. Let h be d(13). Solve h*m + 9 = -5*v, -4*m + v + 2 + 13 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48.49 + -48. Let p = -7.79 + g. Round p to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17821.\nAnswer: 71, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77.94 - 78. Let u = t - -0.06. Which is the nearest to 0.4? (a) -2\/7 (b) u (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3\/4 - 5091*v**2\/4 - 783414*v - 114108076 = 0.\nAnswer: -284, 5659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2132300*l. Let x(i) = 2*i. What is c(x(k))?\nAnswer: -4264600*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {v: 3, j: 2, h: 15}?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*l = 86*l + 6. List the prime factors of ((12\/(-5))\/l)\/((-5)\/(-6650)).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2430*d**4 - d**3 - d**2 + 7042*d + 8.\nAnswer: 29160*d**2 - 6*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305*i + 34529 = 348*i. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from tmmxddmcdncdmxtddtm?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -227, -512, -911, -1424, -2051?\nAnswer: -2792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 0.4, 6, 5 in decreasing order.\nAnswer: 6, 5, 0.4, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05125 to 3 decimal places.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) 3 (c) -0.163 (d) 150 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -253, -2073, -7011, -16627, -32481?\n\"Answer: -260*n**3 + n**2 - 3*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 245 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 2. Let b = 3 + -6. Let z = -3 - -2.6. Sort b, z, l.\nAnswer: b, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 1. Suppose 5*z = 4*z + 4*v + 10, -2*z - v - 7 = 0. Sort z, 4, b in decreasing order.\nAnswer: 4, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 3:09 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45316 and 8216.\nAnswer: 93079064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(72) + 0 + -2))**2*3*-5.\nAnswer: -4560 + 1440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6471522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 - 7*s + 2. Let u(g) = 2*g**2 + 8*g - 2. Give -6*d(f) - 5*u(f).\nAnswer: 2*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 1368 = 2*k. Is k a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 53 - 2*p - 24 - 10*p + 4*p**2 + 202*p - 25 in the form w + o*p + n*p**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 12:38 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 16.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4 = -2*d, 5*x - 4*d = 19. Suppose 5*z - 4 = x*z. Let o(a) = 1 + 4*a - z*a - 3*a**2 - a. Determine o(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5481 and 17451.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 + 5*o**3 + 0*o**2 + (o + o - 8*o)*(2*o**2 + 0 + 0) + 4*o**3 - 3*o**3 + 2*o**3 + (-2*o + 2*o + 2*o)*(3 - o**2 - 3) + o**3 + 3*o**3 - 3*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.21 + 0.12. Let v = h + -0.11. Is v bigger than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(36\/(-28))*107\/(5243\/798)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d + 46 = -34 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.73 - -1.12. Let k = -7.61 - f. Put k, -0.1, -0.2 in ascending order.\nAnswer: k, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2023 is divided by 134?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311*h = 275*h + 180. Let m(f) = 4*f**2 - 8*f + 5. Let z(d) = -d + 1. Give h*z(w) - m(w).\nAnswer: -4*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -3207aa?\nAnswer: 3207a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 401 (b) 0.745 (c) -16\/3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 4997034*g - 34979091.\nAnswer: -3*(g + 7)*(g + 1665671)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 531 in descending order.\nAnswer: 531, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 0 (c) 1 (d) -11.743 (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 3:11 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 35*h - 56. Calculate d(38).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96 + 99. Let q(k) = k**3 - 14*k**2 + 12*k + 17. Let n be q(13). Factor -2706*w**n - 3*w**2 + 9*w - 15*w**s + 2700*w**4 - 3*w.\nAnswer: -3*w*(w + 1)*(w + 2)*(2*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 2*h + 60. Let z = h + -2. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70431 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: Solve -5*b**2\/3 + 5395*b\/3 + 27100\/3 = 0 for b.\nAnswer: -5, 1084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**2 - 10\/11*k**4 + 0 + 48\/11*k - 54\/11*k**3 = 0. Calculate k.\nAnswer: -4, -2, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/136 and -101\/144.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**5\/13 + 2*t**4 - 118*t**3\/13 + 190*t**2\/13 + 48*t\/13 - 288\/13 = 0.\nAnswer: -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 12*w**3 - 6*w**2 + 4*w - 4. Let o(h) = h**3 - h**2 + h - 1. What is -b(k) + 4*o(k)?\nAnswer: -8*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -196857332 to the nearest one hundred thousand.\nAnswer: -196900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*o = 24*o + 19*o - 5074 for o.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**2\/2 - 9. Let w(o) = 0 + 0 + o. Determine q(w(f)).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 605*n**3 - 1233*n**3 + 630*n**3 + 5 - 5.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 11:13 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggm when three letters picked without replacement from {m: 8, g: 3}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4361 and 281863?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 931.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*t - 10, -4*t - 148 = -3*r. Let u = -75 + r. Is u < -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-190)\/133*(-331)\/(-8275)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 1)\/((-6)\/4). Let i be 3*(-4)\/9 - m. Factor 0 + i*a**2 - 2\/3*a.\nAnswer: 2*a*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4088 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -168 + 206. Calculate the remainder when h is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 15*x**3 + 5*x**2 + 24*x - 88. Calculate the remainder when u(6) is divided by 183.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19612e - -3a?\nAnswer: -1960e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(-1)\/(-8)*(-28)\/(-7). Suppose -r*i + 58 = -i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**3 - 35*r**2 - 118*r - 64. Let i(z) = -7*z**3 + 88*z**2 + 291*z + 159. Let k(x) = -12*g(x) - 5*i(x). Determine k(-18).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20496 times -83.9?\nAnswer: -1719614.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 12*j + 4*t = 8*j - 17, 4*t = 2*j + 2*j - 32 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*p, 6*p - 817 = 3*m + 7*p. Let f = m - -274. Sort -3, 2, f, 4 in increasing order.\nAnswer: -3, 2, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*y - 3. Let l be (1\/(-5))\/(-3 + y). Let d = 33.6 - 34. Which is the second biggest value? (a) d (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 20. Let q(s) = -b*s + 7*s - 4 - 11. What is the units digit of q(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 0 + 0)*(-3663 + 9428 - 2132).\nAnswer: 3633*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ef - 21?\nAnswer: 1ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3687*d**6 + 6268*d**5*o**2 - 2*d**2*o**2 - 16309*d**2 + 3*d*o**2 - 85*d*o wrt d?\nAnswer: 442440*d**3 + 376080*d**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 5*a**4\/4 + 1025*a**3 - 6165*a**2\/2 + 3085*a - 8026. Let p(o) = 0. Calculate o.\nAnswer: -617, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 94 = 4*x, -188 = -3*j - j + 2*x. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 4, 77, -1 in descending order.\nAnswer: 77, 4, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*d = 30 - 143, 2*d + 32 = x. Let v = x - 2. Calculate the smallest common multiple of 8 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -3, -5\/223937 in ascending order.\nAnswer: -3, -5\/223937, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20.08 and -3.\nAnswer: -60.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 25 - 25)*(0 - 1 + 0)*(0 + 2*o + 0)*(-16 + 5 + 4).\nAnswer: -70*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -7023.\nAnswer: 5\/7023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311*t = 319*t - 3272. Does 47 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, y: 2, b: 4}. Give prob of picking 1 y and 1 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 126*m + 15. Let t be d(-5). Let p = t - -54119\/88. Which is bigger: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -148, -5, -2 in descending order.\nAnswer: -2, -5, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 305684690 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.74 - 0.3. Let a = -9 - n. Let z = a + -0.04002. What is z rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5197653475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*(sqrt(272) - (sqrt(272) + 2)) + (3*5*sqrt(272) - sqrt(272)) + -3 + 3)**2.\nAnswer: -319968 + 2688*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + ((((-4*sqrt(304) - sqrt(304))*3 - sqrt(304))\/sqrt(8))\/(sqrt(24)\/(sqrt(12)*4)*-1))**2).\nAnswer: 233457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 407 - 387. Solve -8 = 3*s - i for s.\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 369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184703392?\nAnswer: 2, 5771981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**3 + 438*v**2 + 2253*v + 1812 = 0.\nAnswer: -4, -1, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**2 + j - 2. Let v(h) be the second derivative of -7*h**4\/12 + h**3\/3 - 5*h**2\/2 + 43*h - 1. Determine -10*m(k) + 4*v(k).\nAnswer: 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6580449036 from 0.105.\nAnswer: -6580449035.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 4:26 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 + 52. Solve -d - 12 = b*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, k: 5, e: 1}. Give prob of picking 3 l.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(-2)\/(-12)*-6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (12 + 2 + -4 - (-270 + 288))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34744 is divided by 15835?\nAnswer: 3074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31, 94, 143, 172, 175, 146?\n\"Answer: -c**3 - c**2 + 73*c - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 13*c**2 + 2*c - 5. Let m(h) = -2*h + 127*h**2 + 125*h**2 - 393*h**2 + h**3 + 128*h**2 + 0*h**3 + 6. Give 5*m(i) + 6*w(i).\nAnswer: -i**3 + 13*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 81 + -58 - (7 + -6 - 27)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2 + 34690*f + 34689 = 0. Calculate f.\nAnswer: -34689, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*w, -3*i + 3*w = -i. Solve 0 = 2*k - i - 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2289*d. Let w(c) = -8*c + 7. Let o(x) = -75*x + 70. Let p(b) = o(b) - 10*w(b). Calculate p(z(y)).\nAnswer: 11445*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**2 - 3*t**2 - 5*t**3 + 4*t**3 + 4*t**3 + 9*t**4 - 10*t**4 + 2 to the form u + d*t**4 + c*t**3 + s*t**2 + l*t and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.26205401 rounded to three decimal places?\nAnswer: 4.262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28346\/35445 + 2\/7089. What is the smallest value in -4\/11, 8, u, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*c - 15, 34*d + 3*c - 15 = 38*d. Let p(z) be the second derivative of -5\/36*z**4 + d + 5\/18*z**3 + 0*z**2 + 13*z. Factor p(y).\nAnswer: -5*y*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2410*p + 667 = 2467*p - 5603. Let g be (-7)\/3 + (-2)\/(-6). Let m(r) = -5*r + 1. Let n be m(g). What is the highest common factor of p and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7940*m**2*p**4 + 2*m**2*p**3 + m**2 + 7616*m - 2 wrt p.\nAnswer: -31760*m**2*p**3 + 6*m**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3172*n - 57. Is v(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 19034064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396*o**2 - 201*o**2 - 219*o**2.\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**6\/195 - 71*h**5\/130 + 383*h**4\/26 + 3959*h**3\/39 + 2738*h**2\/13 + 729*h. Solve o(g) = 0.\nAnswer: -2, -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 9*l**2 + l + 5. Let u be g(-9). Let b be (-11)\/3 + 2\/3. Is b greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(98)*1)**2 + sqrt(288)*2 - ((2*sqrt(8))**2 + 5)).\nAnswer: 24*sqrt(2) + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 38 (b) 1 (c) 12\/11 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 304510556 divided by 430708?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-3) + -1*2. Let w = 73.07 - 0.07. Let m = w + -72.9. What is the third smallest value in l, m, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.5 + 7. What is the nearest to -0.2 in -4, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -0.1, -2, 7072\/3, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 9. Is 149 - 3\/(-9)*s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*v + 485 + 4138, 0 = s + 3*v - 1541. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a73 (base 15) in base 16?\nAnswer: -4b21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 338*p + 6. What are the prime factors of q(1)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63*t**3 + 402*t**2 + 267*t + 42.\nAnswer: -3*(t - 7)*(3*t + 1)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 11*g**3 - 419*g**2 + 45*g - 86. Let d be x(38). Which is smaller: 175 or d?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a century in decades?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 238*y - 239*y + 7*z - 35, 4 = z for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -0*v. Suppose -4*k - k + 5 = v. List the prime factors of 6\/(-1 + 2\/k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27228 is divided by 8801.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 8 - 11*n + 23*n - 15*n. Is 23 a factor of y(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/5)\/((-9)\/(-10)). Suppose 0 = -12*t + 7*t - 5. Let d = -3260 - -3285. What is the second biggest value in d, z, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -34\/31, 5, 3 in descending order.\nAnswer: 5, 3, -34\/31, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1343079?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8*(39\/(-182))\/((-2040)\/68)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*i**2 - 5*i**2 + 15*i**2 + 38*i**2 to the form f*i**2 + u*i + s and give f.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 156342?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 37349991 = -3*n, -3032489 = -l - n + 4437514. Round l to the nearest 100000.\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 64 - 2275746*u.\nAnswer: -2275746*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-77) - 10\/(-35)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25\/30*(1 + 11). Suppose -4*r = -3*d - 19, 5*r = -2*d + 3*d + k. Is r <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - a - 3. Let z be (-8)\/(-2)*(-10)\/20. Let h be g(z). Let j(n) = 9*n**2 + 3*n + 5. Is j(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 + 38. Let k(u) = 9*u + 2. Let c(f) = 2*f + 6. Let l(x) = -4*x - 5. Let y(g) = 3*c(g) + 4*l(g). Give o*y(z) - 7*k(z).\nAnswer: -3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 61.006.\nAnswer: 63.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 2 + -8 - (6 + (-7)\/(-3)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dggggddgggd. Give prob of sequence gd.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 11. Let i be a(6). Suppose -k + 0*k - 8 = -i*s, s - 4 = -k. Let t be s - ((-26)\/(-10) - 1). What is the nearest to t in -4, 2\/5, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**4\/4 + k**3 + 3*k**2\/2 + k - 51. Suppose v - f = 2*v + 7, 5*f = -2*v - 26. Give y(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (-1)\/2*4. Which is the smallest value? (a) 9\/2 (b) o (c) -4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -193007.37165.\nAnswer: -193007.67165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7149 or -50046\/7?\nAnswer: -50046\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 3*h - 27, 2*w + h = -0*w + 15. Suppose 51*k - 44*k = 98. Solve -q - w + k = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*n**3 + 6611366*n**2 - 509*n - 609655.\nAnswer: 78*n + 13222732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 25d?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-258) + 20112\/516.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -10*n. Let q(t) be the second derivative of -3*t**4 + 3*t - 60. Calculate g(q(d)).\nAnswer: 360*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -1. Let l(o) = -30*o - 18. Let u(g) = 5*k(g) - l(g). Find the first derivative of u(p) wrt p.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11.83043 decades?\nAnswer: 118.3043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**6\/120 + g**4\/24 + 95*g**3\/6 + 9*g**2. Let y be s(0). Let q = y - -22. What is the greatest common divisor of 13 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - w + 5. Let p be z(0). Suppose 4*a - 95 = p. Calculate the highest common factor of a and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -4. Suppose 0 = 3*j - 0*p + 3*p + 99, -p = -j - 23. Let r = j - -30. Solve 0 = -r*g - b - 3, c = -2*g - 2*b - 2*b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 + 3*j**2 + 3*j**2.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 395 = -109. Let k = n + -43. Let g be k\/(-51)*(0 + -1 + -5). Put 3, 13, -5, g in increasing order.\nAnswer: -5, g, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/720 - 4\/(-36).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 180 - 177. Let l = -4 - -1. Which is the second biggest value? (a) -2\/9 (b) l (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 12842991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (4 - 0) + 8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5085 divided by -1017?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -53*g - 29. Suppose 17*x - 12*x + 15 = 0. Let v(m) = m**3 - 8*m - 3. Let w be v(x). Is a(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 5:48 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 - 26. Suppose -5*i - 41 = 4*y, 2*i + x = -3*y - i. Let p = y - -13. Solve 2*w + 15 = -5*s, 2*w + 4*s = w - p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6) + (-88)\/12. Let o = b + 13. Find the third derivative of o*i**3 - 5*i**3 + 0*i**3 - i**2 + i**3 wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-8)*1\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, z: 3, f: 3}. What is prob of sequence zoz?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-4))\/3*(-54)\/(-45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k. Let q(c) = 420*c**2 + 4*c + 2. Let r(t) = 1679*t**2 + 18*t + 9. Let l(p) = 9*q(p) - 2*r(p). What is i(l(o))?\nAnswer: 844*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -4*f + 3*x - 32, -f = 3*x - 55. Calculate the remainder when 502 is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-1))**1*(i\/i**3)\/(i\/(i**(-4)\/i)) assuming i is positive.\nAnswer: i**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1616, -1617, -1620, -1625, -1632, -1641, -1652?\nAnswer: -1665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 e when three letters picked without replacement from ejeeeeee?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1006000 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 1890?\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, 1\/69, 1?\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 156676104 a multiple of 947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -272362 by 7.\nAnswer: -272362\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5405 = 4*u + 377, 5*u + 20 = 0. Is 1259 at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30.2 + 30.1. Suppose y - 43 = 31. Let c be y\/(-60) - 4\/(-10). Which is bigger: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77731634 is divided by 6227.\nAnswer: 6220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 151, 2, 5\/2, -3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29822878?\nAnswer: 2, 14911439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*o - 206, -4*b + 46 = -3*b + 2*o. What is the lowest common multiple of 100 and b?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 413814797 and 363?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 138 + -138.00000768. What is p rounded to seven decimal places?\nAnswer: -0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1076656948?\nAnswer: 2, 3371, 79847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49.77843 * 99.\nAnswer: -4928.06457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**3 + 3*j**2 + j. Let c(t) = -t**3 + t**2 - t. What is -3*c(d) + n(d)?\nAnswer: d**3 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 29256*m**2. Let p(o) = 996*o. Give t(p(c)).\nAnswer: 29022420096*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**5\/600 + d**4\/240 - d**3\/30 - 17*d**2. Determine r so that q(r) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*y - 9*y = -31, -1 = -x + y. Suppose -7 = -4*u - u + l, 2*u + 8 = x*l. Let -5\/4*z**3 - 5\/4*z**u + 5 + 5*z = 0. Calculate z.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19, -24, -29, -34?\n\"Answer: -5*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(11\/6)*w\/w**(1\/17)*w)\/(w\/(w\/(w**(-29)\/w))*w*(w**(1\/15)*w)\/w*w) assuming w is positive.\nAnswer: w**(4937\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -2, 3, -5, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (2 + 1 + -15). Suppose n - 3*n = -4*r - 44, -5*r = -3*n + 61. Suppose -n*f = -7*f - 15. Solve f = -v - a, 2*v + s + 4 = -4*a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/8476 - 316789\/12714. Let l = x - -217\/6. Find s, given that -3\/2*s + 0 + 21\/4*s**5 - 3\/4*s**2 - 57\/4*s**4 + l*s**3 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -183 + 183.5. Sort -0.02, -3, b.\nAnswer: -3, -0.02, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -578199, -578197, -578195, -578193, -578191, -578189?\nAnswer: -578187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191 - -0.532.\nAnswer: -190.468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/1330308 and -35\/95022?\nAnswer: 1330308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyppddpypqpqdppyy. Give prob of picking 2 q and 2 p.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 201659 a multiple of 479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-130)\/14 - (-4)\/14. Let l be 10*(-4 + b\/(-3)). Let u(t) = -t**2 - 10*t + 6. Let j be u(l). Calculate the highest common divisor of 48 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 700043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -31*y + 0 + 27*y - 11 + 11. Let w(r) = -44*r. Give z(w(q)).\nAnswer: 176*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3667, -3684, -3719, -3778, -3867, -3992, -4159, -4374?\nAnswer: -4643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03077 - -3.96923. Which is the fourth smallest value? (a) 2\/5 (b) -7 (c) -4 (d) h (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117, -889, -2983, -7059, -13777, -23797?\nAnswer: -37779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16220, 14119, 10618, 5717?\nAnswer: -584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93150 divided by -31050.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*b**4*c - 3*b**3*c**2*k**3 + 2*b**3*k - 107*b**2*c**2*k**2 + 3*b**2*k**2 - 3*b*c**2*k**3 wrt b.\nAnswer: 1656*b*c - 18*c**2*k**3 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 960676.\nAnswer: 2, 240169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7509011 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -742\/3243 (c) 0.4 (d) 0.3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*p*u**2*v - p*u*v - 6*p*u - 199*p*v**2 + 2*u**2*v**2 - u*v**2 + 4*u wrt v.\nAnswer: -398*p + 4*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -84, -4, -2, 4 in increasing order.\nAnswer: -84, -4, -2, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*f = -0*r + 116, -4*f - 128 = -5*r. Let t(k) = 16*k**2 + 3*k. Let b be t(-2). Let z be ((-1)\/b)\/(6\/r). Is z less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3. Let i(p) = -2*p**3 - 5*p**2. Suppose -3*n - 5*a + 26 = 0, -2*n + n - a = -10. Let q(r) = -r + 16. Let c be q(n). What is c*s(d) + i(d)?\nAnswer: 2*d**3 - 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29953728 and 265328?\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(8) - sqrt(8)*1))\/sqrt(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 751504475?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -89735, -179681, -269627?\n\"Answer: -89946*q + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1447162.82 to the nearest ten thousand.\nAnswer: 1450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**2 - 50*r - 107. What is k(11)?\nAnswer: -1141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -659*g + 135*g - 3668 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnd when three letters picked without replacement from {c: 2, d: 4, o: 1, n: 2}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3205821634?\nAnswer: 2, 317, 5056501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - -45 - -14 - 9?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20102\/9 + 201377\/90. Let v = w - 25\/6. What is the common denominator of 69\/10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 984\/13 + 488\/13*a - 2\/13*a**2 = 0.\nAnswer: -2, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 101*k + 108*k - 254*k - 2. Is l(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*m + 0*m - 10*m - 20*m - 15*m.\nAnswer: -78*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*x + 4*n, 3*n - 39 = -5*x - 5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 1. Let i be q(-4). Let r = -10 + i. Find the second derivative of -26*k**3 - 6*k + 5*k**r + 26*k**3 wrt k.\nAnswer: 100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/6*(9 + -1 + -2). Let u(d) = 10*d**3 + 2*d**2 - 3*d + 4. Let i be u(w). Let p = i + -90. Sort -0.03, -0.1, -0.4, p.\nAnswer: p, -0.4, -0.1, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 3031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 6*h**2 - 3*h + 7. Calculate n(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-27)*24\/4 - (-1 - 18).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + a97?\nAnswer: a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 11*w - 8. Give l(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53.1 - -10.1. Let x = -78 - i. Let k = 34.99963 + x. Round k to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2753 greater than -2751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27 + -13390?\nAnswer: -13417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-9)*(1 - -1). Let i be 13\/(-39) + (-37)\/(-33). Let j = 5\/11 - i. What is the closest to x in j, 0.4, -2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46\/7 - -152\/21. Let k(w) = -w**3 + 34*w**2 + 34*w - 36. Let i be k(35). Which is smaller: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 + 38.8. Let a = b - 0.8. Let q = 11.6 + a. What is the second smallest value in q, 3\/5, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 4)*(-4 + 4 - 3*y) + (-1 + 3 - 3)*(8*y - 4*y + 8*y) - y - y + 0*y.\nAnswer: -23*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -26*191\/(-216) - 3. Let r = 11562 + -312100\/27. Let x = y - r. Calculate the common denominator of x and 19\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 8*t**2 - 6*t + 4. Suppose 30*z - 32*z + 2*k + 28 = 0, -7 = -6*z - 5*k. Determine l(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.1 * -2.14\nAnswer: -40.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5570, -11492, -17404, -23318, -29246, -35200, -41192?\nAnswer: -47234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117786?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -54415*x + 217653. Give a(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 222\/30 + (-3)\/(-5). Suppose -h + y = h. Solve -2*w - 5*k + 15 = -2*k, -h*w + 4*k - 20 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 + 0 + 3 + (4 - -9).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14286 is divided by 4756.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l - 2*l + 4*l)*((-3*l - 4*l + 4*l)*(1 - 2 - 1) - 3*l - 4*l + 2*l - 2 + 2*l + 2) to the form a*l**2 + m*l + n and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(1 - 2) - 6. Let x(y) = -3*y + 1. Let t be x(5). Let w be (t\/(-4))\/n*-2. Put -4, -5, w in ascending order.\nAnswer: -5, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11435*u**2 - 1642*u - 1961*u**2 + 3288*u - 1646*u.\nAnswer: -13396*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 280 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n + 2 - 2)*(-4 + 2500*n + 3631*n + 2916*n + 2) as c*n + a*n**2 + y and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 1. Suppose 0 = -q, f + 5 = -2*q - 0. Let w be h(f). Solve 0 = -4*m + w + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.049 and 377423.\nAnswer: -18493.727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011100000000101111101 (base 2) in base 15?\nAnswer: -c3c72d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -403*m**3*n**3*y + 3*m**3*n*y - 8*m**2*n**3 - 2*m**2*n*y + m*n**2*y - n**2*y wrt m.\nAnswer: -2418*n**3*y + 18*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.415759 millennia in decades?\nAnswer: 541.5759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - p**2 + 2. Let c be h(0). Suppose c*q + 32 = 6*q. Suppose -2*b - 2*b + q = 0, 0 = -r + b + 30. What is the greatest common divisor of 48 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 78 + 42. Suppose -d*p - 4*p = -2772. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16e (base 16) to base 14.\nAnswer: 1c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1818402\/104505 - (-6 + (2 - -9)). Let b = a + -1\/6967. Factor 2\/5*p**3 - b*p**2 + 102*p - 90.\nAnswer: 2*(p - 15)**2*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 12 + ((20 - -4) + 13 - 11)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3683, -7401, -11119, -14837?\n\"Answer: -3718*h + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 - 386 + 386.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11231*j - 10 - 20 - 42 = 4*h + 11218*j, -11 = -h - 4*j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392*a - 12*a**2 - 181*a + 573*a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 19048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 29*a**2 - 57*a - 33. Calculate m(-27).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 0*l + 3\/2*l**2 - 2. Let q(r) = 2*r + 7 - 7. Give q(j(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -78249*n - 626003. Determine b(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5402\/231 - 4\/77. Let t = -1963\/84 + c. What is the common denominator of -109\/14 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 806979945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 16 = -t - 68, -4*z - 5*t = -309. Solve z*c = 80*c + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21992835 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 149*r - 180. List the prime factors of a(7).\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 783 = 3*x - 2*q, 5*x = 2*q - 5*q + 1267. Calculate the remainder when 768 is divided by x.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119216 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 91367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 42 = 3*n, -10 = 4*n + 4*u - 66. Let k(l) = 2*l**2 - 14*l + 59. Is k(n) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 3 = p, 604*p + 12 = 608*p + 2*u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/5)\/((-7)\/(35\/6))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r - 111 = 64 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u + 2 + u + 240*u**2 - 2*u. Let k be (27\/54)\/((-4)\/8). Does 53 divide f(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53958.\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40660, -33328, -26020, -18748, -11524, -4360, 2732?\nAnswer: 9740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-3) - 1\/(-3). Let s be l\/(-2 - 0) - -8. Suppose s = 3*b - 1. Solve -b*t + 2*h + 11 = 0, -4 = -3*t + h + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9662?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 0*d**2 + 1\/36*d**4 + 5*d + 1\/9*d**3 + 0. Solve p(r) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4500476 and 12061.\nAnswer: 31503332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20220022220222 (base 3) in base 7?\nAnswer: 43113356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 20, d = -2*z - 18 + 42. Solve 9 = j - 2*y, 4*j - 25 + z = y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -309*u**2 + 787*u + 173. Differentiate k(s) wrt s.\nAnswer: -618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from luussplsixl. What is prob of sequence suxi?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 533793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvvc when four letters picked without replacement from vvyvvccvcyvvyccy.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -28*h**2 - 22*h + 38. What is t(-2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2288\/6 + (-46)\/(-69) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/7)*o**1)**(-17)*(o**(-1))**(-22)\/(o*o**(-1))**(-2\/81) assuming o is positive.\nAnswer: o**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8944 + 8964. Let b(h) = -2*h - 11. Let j be b(-5). Let w(i) = -3*i**3 - i**2 - i. Let d be w(j). Solve d*y + v = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15 (b) 106\/5 (c) 84181\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z. Let h(l) = 3*l**2 + 119*l - 119*l. Calculate f(h(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14624, -13997, -12950, -11483?\nAnswer: -9596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 258 or 2233?\nAnswer: 2233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13663 + 142?\nAnswer: -13521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8, -24, -44, -62, -72?\n\"Answer: u**3 - 8*u**2 + u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52966 or 52991?\nAnswer: 52966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -25, -84, -179, -316?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 232741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-444)\/(-7))\/(2\/7). Suppose 0*f = 5*f - 4*w - 1620, -f + 5*w + 324 = 0. Let v = f - o. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 5) + (6 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7467721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -h - 11, p + 21 = 41*h - 37*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + x - 2. Let r(u) be the third derivative of u**6\/120 + u**3\/3 - 3*u**2 + 3*u. Give 2*p(j) + 3*r(j).\nAnswer: j**3 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145 = -80*u + 109*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-1248)\/(-396))*(-585)\/(-26) + 2\/(-22).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/330 and -193\/964590.\nAnswer: 964590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 9\/18)\/((-1)\/432). Calculate the highest common divisor of s and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 3372*f**2 - 6881940*f - 8059937184.\nAnswer: 3*(f - 1528)*(f + 1326)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/(p\/p**(-1\/4)))\/p)**(-46) assuming p is positive.\nAnswer: p**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 n when four letters picked without replacement from nnzznnq.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*b - 20*b - 89*b.\nAnswer: -85*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 23 = -3*t, -3*t - 4*o + 6*o - 7 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -168 by 6.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from {p: 12, l: 6, b: 1}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 - 27. What is the common denominator of 246\/(-20) + 3\/2 and ((-244)\/(-30))\/(s\/(-9))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 16 = -4. Let l be (-1)\/2*(-2 - -2). Let z(w) = -w**2 - 5*w + 8. Let d be z(-6). Solve l*u - d*u = -b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17135 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2840 times -4\nAnswer: -11360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2940\/(-16))\/35 + 7?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v + 3 = 22*v. Let u(t) = 5*t + 4. Let q be u(v). Suppose 2 = -p, -3*h - q = -6*h + 5*p. Solve 5*m - h*y = 3*m + 21, -m - 22 = 5*y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*p - 315 + 315 - 2*p**2 - 2*p**2.\nAnswer: -4*p*(p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1799207087?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 310 - -301102?\nAnswer: 302012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -44 + -45 + 19 + 68\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 16. Let x be p(0). Let f = -14 - x. Suppose 0 = 3*w + 16 - 1, 5*i + f*w - 1140 = 0. What is i rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 2:16 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 3163*o + 50385. Determine k(-16).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 143 - 105 = 0. What are the prime factors of i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 164 and 67191415?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -94*f**3 + 23*f**2 - 5 wrt f.\nAnswer: -564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) 171 (c) 7201 (d) 1\/3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + j = 53 - 10, -16 = 4*j. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + f**3 + 5 + 1 + (-1 + 0 - 1)*(f**3 + 2*f**3 - f**3).\nAnswer: -3*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 768, -5, 8.7 in descending order.\nAnswer: 768, 8.7, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 4*a + 12. Let n(h) be the third derivative of -h**4\/12 - h**3 + h**2. Let f be n(-4). Solve y = f*b + a, -b + 4*y = -y + 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 903*v**3 + 5724*v**3 + 8195*v**3.\nAnswer: 14822*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5642268533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 888 divide 647352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2977 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*b + 3. Suppose -4*u + 3*u = 2*q - 58, -2*q - 4*u + 70 = 0. Let r be (-1)\/(-2) + q\/b. Solve 2 = -r*a - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y - 19. Let b(c) = -142*c + 7. Calculate j(b(x)).\nAnswer: -284*x - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 2*s. Let q(a) = -2*a**3 + a**2 + 4*a. Let x(f) = 11*l(f) + 6*q(f). Calculate x(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*sqrt(38)\/sqrt(2).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.883 rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 v when four letters picked without replacement from vvuvyupvvvy?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*o + 1065 - 3526. Let -92*k**4 - 8 + 66*k - 64*k**2 - 201*k**3 - o*k**3 - 28*k**4 + 50*k**5 = 0. What is k?\nAnswer: -1, 1\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/2*(-1296)\/(-540). Solve 6 = 2*r - 5*v, -2*r + 2*v - 3*v = -k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmaqszzjsssz. What is prob of picking 1 z, 1 s, 1 m, and 1 j?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - (-18 + -3)) + (-4 - (-3 - -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3360, 6725, 10088, 13449, 16808, 20165?\n\"Answer: -x**2 + 3368*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7585, -32587, -74259, -132601, -207613?\n\"Answer: -8335*d**2 + 3*d + 747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 316 - 151. Suppose 15 = -5*z + 30. Suppose -2*y - 3*y - 86 = -z*f, -4*y = -5*f + s. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + c + 3, -27*c = 2*z - 28*c - 3. Solve -5*w = -z*n + n + 15, -3*n = 4*w + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwrvvrprrwrpwxr. What is prob of picking 1 w and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000041 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 56 (b) 148\/10439 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/(-2))\/(9\/96). Let p be (2 + 0)\/(-3 + 2) - i. Calculate the highest common divisor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 2)*(f + 2*f - f) + 4*f - 2*f - 3*f + 1 + 2*f - 3 - f)*(126*f + 84*f + 11*f).\nAnswer: 884*f**2 - 442*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.267718 rounded to three decimal places?\nAnswer: -2.268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/14)\/6 + 452\/(-14). What are the prime factors of 8\/m + 109\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus -88931890?\nAnswer: 88931894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 223250 and 178600?\nAnswer: 893000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/8*54\/63?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1312658?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2344, -4 in decreasing order.\nAnswer: 5, -4, -2344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10\/11*(-253264)\/(-43170)\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1553904 and 37932.\nAnswer: 45063216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6768 is divided by 372?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((103875\/49860)\/((-50)\/6))\/((-6)\/(-8))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/9)\/t)**(-5\/8)*(((t\/t**(1\/5))\/t)\/t)\/(t*(t*t**7*t*t)\/t*t))\/((t**(2\/13)\/t**7)\/(t**(1\/4))**(-4\/35)) assuming t is positive.\nAnswer: t**(-160403\/32760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4516029*t**3 - t**2 + 1306573*t wrt t?\nAnswer: -27096174*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4947 = i + 2598, 5*y - 7547 = i. Is (-5)\/(30\/i) - 2\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/(-240)*2\/(-87)*3*1.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49790 and 225970.\nAnswer: 2937610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (301 - 319 - (0 - 2 - 30))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 846*x - 841*x - s, x + 14 = -s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ouou when four letters picked without replacement from cuiruiioouuoouiuu?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.02362 nanograms to kilograms.\nAnswer: 0.00000000005802362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 639\/(-11431)*-3*7\/9.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 5:02 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/88 and -5\/1229612.\nAnswer: 27051464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -7*a**3 - 4*a**2 - 9*a + 4. Let i(n) = 8*n**3 + 4*n**2 + 8*n - 5. Let q(s) = 5*i(s) + 6*r(s). Is q(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*o + 2*y + 1254, 5*o - 2090 = 5*y. Suppose -413*i - 685 = -o*i. Is i a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 12 = -4*r. Suppose 4*b = r*t - 4, t + b = -4*t - 1. Let j be t + 3 + (0 - -1). Solve -d - j = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.82 in 4\/3, 1\/4, -10110?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i. Let b(f) be the first derivative of f**3\/3 - 27. Give p(b(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 3. What is h(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1088*b = 1079*b - 63 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-1) - (-10 - -14). Does 4 divide 6\/4 - (-90)\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90743810 divided by 433?\nAnswer: -209570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 5)*(-1 + z + 1)*(-2 + 8 + 0).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**4\/20 + 607*g**3\/10 - 912*g**2\/5 - 5*g - 545. Solve w(h) = 0.\nAnswer: -608, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 34 from 1288300661337.\nAnswer: 1288300661303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2754493 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -1254, 4, -34, 2 in descending order.\nAnswer: 5, 4, 2, -5, -34, -1254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.13 + 0.08. Which is the closest to 1? (a) t (b) -1\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9195 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1418981707 to the power of 1\/3, to the nearest integer?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(-1\/49)*(m*m*m*m**(-2\/13)\/m)\/(m**(2\/3)*m) assuming m is positive.\nAnswer: m**(382\/1911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/10*(6*19\/(-57))\/(-28).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2\/7 + 440*o\/7 - 48400\/7 = 0. Calculate o.\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2248 or -2257?\nAnswer: -2257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.7? (a) -0.1 (b) 8\/7 (c) 13\/24 (d) -157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 20, -d + 0*d + 4*a = -24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 6*j**2 + 14*j + 7. Let l = -32 - -39. Let a be b(l). Let t = a - 40. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60275 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) + 1 + (sqrt(171) - 2*sqrt(171)).\nAnswer: 1 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024.523 rounded to the nearest 10?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 11. Let q(s) = 2*s - 23. What is -10*o(g) - 6*q(g)?\nAnswer: -2*g + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 5, x: 7, f: 1, r: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5024 + 2626. Let o = 16911\/2366 - 37\/169. Calculate the common denominator of o and g\/(-12)*(-2)\/48.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (1 - 5) + (-2 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 10:13 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4386*b + 1464*b**2 - 4386*b in the form s + f*b**2 + n*b and give f.\nAnswer: 1464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 2. Suppose 2*x = -2*x - 16. Let c be i(x). Let v be (c + 7\/3)*-3. Let a(k) = -9*k**2 - k. Calculate a(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x. Let b(h) = 333*h**2 - 72*h - 72. Let z(i) = 23*i**2 - 5*i - 5. Let n(y) = 5*b(y) - 72*z(y). What is v(n(a))?\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 27?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 a when four letters picked without replacement from agggaagggggagg?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-2\/5)\/z)*z*z**(-2\/11)*z*z*z*z)**(2\/29)\/(z**6*z*z*z*z\/((z*((z*((z**(-3)*z)\/z)\/z)\/z)\/z)\/z)*((z*(z**(-1)*z)\/z)\/z)**3) assuming z is positive.\nAnswer: z**(-18346\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzz when three letters picked without replacement from {z: 8, t: 5}.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2, -5*x + 135 = -3*g - 2*g. Let v = 20 + -31. Let u = v + x. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**3 - 6*w - 1. Suppose -u = -1, -17 = -4*n + u - 2*u. Let j(z) = 6*z**3 - z**2 - 6*z - 1. Let c(q) = n*j(q) - 5*d(q). Calculate c(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28*(-6)\/(-36)*-3)\/1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 m, and 1 w when three letters picked without replacement from nxnwqxxnfxmqqxqnnmxx?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gpppgpgpipgig. Give prob of picking 1 p and 1 g.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3*k)\/(k\/k**(-1)))**29\/((k**(-2\/7)*k)**(1\/50)*k\/(k*k\/(((k**(5\/4)\/k)\/k)\/k))*k\/((k\/k**(1\/3))\/k)) assuming k is positive.\nAnswer: k**(24949\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*2)\/(68*50\/38250)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 0 - (-10 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8110, 8109, 8108, 8107, 8106, 8105?\n\"Answer: -d + 8111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16130 - 52566?\nAnswer: -102026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.2 + 0.8. Is g > -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -116 or -1246941?\nAnswer: -1246941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 109*h - 104*h - 28, -2*h - 2*x = -16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 206 and 0.4273600242.\nAnswer: 206.4273600242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1*4\/(-20)*60\/(-8)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 28 (b) -133 (c) 1\/3 (d) -1 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/2*24\/(-9). Suppose 0 = -d*q + 15 + 49. Suppose 5*s = 4*s + 112. What is the greatest common divisor of q and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*w + 5, -p + 54*w + 5 = 52*w. What is the fourth smallest value in -13, -4, p, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3170452937?\nAnswer: 3170452937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9*-2264\nAnswer: -20376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6*n. Let w be s(-2). What is the highest common divisor of w and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + 2*l + 2*l + (-1 - 1 + 1)*(3*l - 3*l - 2*l) + (7*l - 18*l - 11*l)*(2 - 4 + 0).\nAnswer: 49*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1118 is divided by 828?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2510\/60 + (-2)\/(-12). Calculate the common denominator of (1 - -2) + p\/(-4) and ((-308)\/2156)\/(6\/287).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18\/11 - 335\/198. Is -1 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -10*w + 291 - 12*w - 142 - 145 - 6*w. Determine b(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6 - -0.1. Suppose -5*g + 8*g = 0. Let v be g - ((-14)\/8 - -2). What is the second biggest value in b, 2\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttdpptcttaczcct. What is prob of sequence ta?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 85097, -59, 1\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11221 < 11221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -47965, -47634, -47303, -46972?\n\"Answer: 331*x - 48296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 237 + 265 = 2*x, -5*n - 750 = -3*x. What is the greatest common factor of 10 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13840296 divided by 2\nAnswer: 6920148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3722830 divided by 2\nAnswer: -1861415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*k - 4*j + 3, -2*k + 5 = -5*j. Solve 0 = 4*u - v - 20, -5*u + 5*v + 40 = -k*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 45*x.\nAnswer: -5*x*(x + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3 = -21. Let f = 22 + d. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 2:44 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 22.9?\nAnswer: 9.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*z - 1359 = -30*z + 265 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, -529, -16?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 7*x = 1386. Let w = x + 2032. Is w*1\/2 + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3887 not equal to -3886?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 21ba - 4?\nAnswer: 21b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1406 (b) -0.1 (c) -50007\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 275497044 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**3\/3 + 4*w**2 - 4*w - 2. Let c be q(6). Let a = -5 + c. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-6)*-2)\/(-36 - -35)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*i + 2. Let s be (i\/6)\/(1\/(-3)). Let d be 1\/(-3) + 2\/4. Which is smaller: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 355, -96, -398?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 30*x - 153. Give u(24).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from beisieablssaias. Give prob of picking 3 i and 1 l.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 1310*o + 429025.\nAnswer: (o + 655)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (33 + -33)*1\/3. Let o(q) = q**3 - q**2 - q - 1. Give o(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/3881163 and -23\/1573?\nAnswer: 42692793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*a + 177*a = -2*w + 20, 4*w - 7 = 3*a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 2:18 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 12:07 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 4. Let h(p) = 9*p + 33. Let m(w) = -4*h(w) - 33*i(w). Let k(c) = 2*c. Calculate m(k(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000101100000011111 (base 2) to base 5.\nAnswer: -201341431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154198629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -289 times 0.3?\nAnswer: -86.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16420 = -4*s + 4828. Suppose -4*r + 0*z + 3*z = -s, 4*r = 5*z + 5312. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 773 + 26221 = -2*v. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 22035*a + 22411*a - 66565*a + 22593*a + 3.\nAnswer: 474*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*d + 8. Suppose 2*a - v - 18 = 0, 0*v = 5*a - d*v - 42. Let x(b) = -b**2 - 4*b - 2. What is the lowest common multiple of x(-2) and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 times 347957.5?\nAnswer: 100559717.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5151 and 20793.\nAnswer: 107104743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5\/(x*x\/x**(-2\/5)*x*x))**(3\/4) assuming x is positive.\nAnswer: x**(9\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1031 or 601\/4?\nAnswer: 601\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1409841 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1287 and 4251.\nAnswer: 140283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**8\/672 - 2*u**7\/105 - 3*u**6\/40 + 9*u**4\/16 + u**2 + 3. Factor x(p).\nAnswer: -p*(p - 1)*(p + 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6048, 12156, 18294, 24468, 30684?\n\"Answer: i**3 + 9*i**2 + 6074*i - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(63) + -4.\nAnswer: -5 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 + 71)*(-4)\/(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5 + 10 + 8*l - 11*l. Let b(x) = 5 - 17 + 13. Calculate -15*b(z) + q(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 292857282?\nAnswer: 1464286410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*2\/16)\/(39\/(-26)*(-102)\/(-18))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.5? (a) 9 (b) 3\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/19077 - 7001249\/190770. Let i = -66\/5 - q. Calculate the common denominator of 27\/8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 12*i + 36. Suppose 12*m = -14 + 74. What is u(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 9*q - 51. Let m(s) = 2*s - 10. Let t(x) = 5*a(x) - 24*m(x). Let h be t(-7). Let g(y) = h*y - 16*y + 7*y. Let v(b) = b**2. Calculate v(g(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tnttnntt. Give prob of sequence tnnt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89 + 98. Let s(f) = -2*f + 4. Let p be s(-7). Calculate the highest common factor of p and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-421)*(-3)\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6\/5, 1\/11, 23, 17\/6, 3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-9\/8)*r*r**(2\/19)*r)\/(r**(-2\/5))**(-2\/11) assuming r is positive.\nAnswer: r**(7587\/8360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -n - 0. Suppose 5*m = m + 12. Suppose 0 = 2*v + 5*g + 4, -g = -2*v + 11 - m. Solve -5*s + f = 24, -5*s - 3*f - n = v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 202 + -5?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 8. Let t be 33\/(-2)*f\/(-6). Suppose -x - x = -t. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20 - 0) + 21\/7. Suppose -4*y + 36 + 25 = 5*s, -3*s + y + h = 0. What are the prime factors of 2\/(-9) + 191\/s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1065 + 15.8935. Suppose 2*q + 5 + 1 = 0. Which is the smallest value? (a) z (b) -2 (c) q (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4*u + 68 + 16, -i - 4*u = -30. Suppose 2 - i = -4*o. Suppose -o*t + 785 = -4*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 11, -39, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/11)*k**18 assuming k is positive.\nAnswer: k**(197\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 12*u - 17*u - 3*b, 3*u - 5*b - 7 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 5, 1 in descending order.\nAnswer: 5, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2535653 - 433?\nAnswer: -2536416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 858 - 4?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 7*a**2 - 15*a + 11. Let l be g(10). Calculate the greatest common divisor of 23 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 15 + (-7 - (-38 + 145)) + -30?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, r: 1, t: 3, e: 3, q: 2}. What is prob of sequence rtq?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 9*n**2 - 25*n - 35. Is q(-14) a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51347*j - 51347*j - 437*j**3 - 3012*j**3.\nAnswer: -3449*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 204531161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 v, and 1 h when four letters picked without replacement from {h: 4, v: 1, s: 2, l: 3, a: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 4*j**2 + 5*j - 7. Determine q(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 15 = -2*i - 5*g - 8, -5*g - 28 = i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 89 = -4*q, 9*x + 5*q = 12*x - 94. Suppose -x*z - 8 = -77. Solve 2*o + 5*a = 0, 2*a - 16 = -o - z*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -12030110221?\nAnswer: 12030110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + 2*c + 2*c + (-c + 5*c - 2*c)*(0 + 3 - 1) - 2 + 2 + c - 3*c + 3*c - 2*c + 0*c + c + c + (c - 2*c - c)*(-5 + 8 + 1) - 152 + 60*c + 152.\nAnswer: 59*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 64d635a5 - -3?\nAnswer: 64d635a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1568824*q**4 + 3*q**3 - 8943348.\nAnswer: 6275296*q**3 + 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -10) + 4\/((-20)\/(-9)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -39 and -2.21.\nAnswer: 86.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 0.1 (b) -7 (c) -2 (d) -1686\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 2*q = -15, z + 1267 = q + 1261 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 10*i**2 + 12*i + 13. Suppose 11 = -5*t + 4*t. Let g be f(t). Suppose -13 + 34 = k + 3*l, -4*l + 36 = g*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.61 + 0.61. Let r = -39.5 - j. Let y = r + 9.07. Round y to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83.7 + 84. Put 76\/7, q, 0.2 in decreasing order.\nAnswer: 76\/7, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*y - 5*y - 11, -2*y = 6. What is the least common multiple of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 20*h + 46. Let p be i(0). Solve p = 3*b + 49 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 406\/(-34) + (2 - -10).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 + (-2282)\/(-140))*(-8 - -38)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1104512 + 434512. What is q rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10147 - 9555. Calculate the remainder when t is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 9 in increasing order.\nAnswer: -3, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = 8*s - 4*s. What is the remainder when s is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4358200 and 0.43953.\nAnswer: 4358200.43953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5768.308 hours in seconds?\nAnswer: 20765908.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {u: 5, o: 8, p: 4}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 108*t - 583126 - 799166. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 6:39 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1573) + 5*sqrt(1573)*1) - 6*(sqrt(1573) + 1 + sqrt(1573) + -5 - sqrt(1573)))**2.\nAnswer: 15840*sqrt(13) + 1416276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47587831 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/(-3)*((-69)\/1 - 2) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2468, -4589, -6710, -8831, -10952?\nAnswer: -13073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011081 times -5?\nAnswer: 0.055405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 85 and 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 10:04 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + s - 1)*(2*s**3 + 7 - 7) + 0*s**4 + 5*s**4 - 3*s**4 + 8*s**4 - s**2 + 4*s**4 - 7*s**4.\nAnswer: 9*s**4 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77.1 + 66. Let h = n - -11. What is the second biggest value in 0.5, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2031*v + 147*v + 100*v + 685*v.\nAnswer: 2963*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -107980*a. Let o(g) = 2*g. Determine l(o(b)).\nAnswer: -215960*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453*k**3 + 1211*k**3 + 1835*k**3 + 7*k**3.\nAnswer: 3506*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1583328 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**3 + 2*j + 483. Let h be l(0). Suppose 3*o + 6 = h. Let g = -94 + o. What is the remainder when g is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 112?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/352 and 91\/6955168.\nAnswer: 6955168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + 1*sqrt(700)*-5 + -1 + -5 + -3).\nAnswer: 24 + 200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 455.2 + -464. Let s = 8.3 + b. Let j = 1\/42 + -89\/210. Sort j, s, 2\/5, 5.\nAnswer: s, j, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(112))**2*-4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 7*o**6\/180 + o**5\/24 - o**4\/3 - 6*o**3 + 23. Let j(w) be the third derivative of s(w). Is j(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 76\/6 + -2 + (-8)\/(-6). Suppose 7*w = p*w - 1175. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.3 + -2.3. Which is the biggest value? (a) 4\/3 (b) -2\/11 (c) -0.2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/40 and 2\/55.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -196*p**3 - 14722*p - 10516491 wrt p.\nAnswer: -588*p**2 - 14722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**4 - 2*o + 4*o**4 - o**4 + (4*o**3 - 5*o**3 + 2*o**3)*(-2*o - 1 + 1) - 25*o**4 - 6*o**4 + 3*o**4.\nAnswer: -31*o**4 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 13 = w, 5*j - 3 = w + 4. Let n = 21 - w. Calculate the highest common divisor of 2 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22735.53 to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3821, 3925, 4027, 4127?\nAnswer: 4225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4519914, 9039825, 13559736, 18079647, 22599558?\n\"Answer: 4519911*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 154, -1, -48, 44, -3, 5 in decreasing order.\nAnswer: 154, 44, 5, -1, -3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in 0.5, -307, -0.3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 54 + -4?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2262 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 1008.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 4*p = -3*v + 110, -44 = -2*p + v. What is the least common multiple of 8 and p?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 6 - 46. What is the highest common factor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -h + 12, -3*h + 2*g - 5*g + 18 = 0. What is the tens digit of 296\/30 - h\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 2. Let d be u(0). Let z be (1 - d - 0) + 18. Let v = z - 9. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 38 - 7) + -26 + -3 + -57.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -13 - (3 - 0)\/(-3). Let z = 20 + s. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 2, e: 1, v: 1, t: 4}. Give prob of sequence tq.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4355921954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/50 and -24\/685.\nAnswer: 6850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) -16\/43 (c) 132.66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 576051763 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**4\/72 + z**3\/3 - 3*z**2 - 42*z. What is m in u(m) = 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a century in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 2, 0, -3 in decreasing order.\nAnswer: 11, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10478, -10476, -10472, -10466, -10458, -10448, -10436?\nAnswer: -10422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 95402 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1323 divided by -189.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from kkkkkkkkkkwwkkkkkwkk?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -5421520?\nAnswer: -5421515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w - 1. Let g be l(1). Suppose -4*s - 3*x = -59, -g*s - 5*x + 4 + 15 = 0. Let m = s - -66. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177990253 to the power of 1\/2, to the nearest integer?\nAnswer: 34322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**3 + 4*u**3 + u**3)*(2 + 5 - 5*u + 3*u).\nAnswer: -4*u**4 + 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 141350 and 70675.\nAnswer: 141350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13694 - -12\nAnswer: -13682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(363) + sqrt(363) + 3 + 1) + sqrt(363) + 2 + 2 + 3.\nAnswer: -99*sqrt(3) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0363345 to 3 dps.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (2 - (1 - -1)) + 3. What is the tens digit of k - (-4 - 129\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k = 19*k - 22. Suppose 3*w = 4*o + o - 34, 0 = 4*w - 3*o + 38. Let p(d) = -d - 7. Calculate the least common multiple of p(w) and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*h - 15 = 21*h. Solve -h*m + 9 = -6*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, -28 in increasing order.\nAnswer: -28, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 405*i - 96264.\nAnswer: (i - 573)*(i + 168)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -170 + 173. Let f be (1\/2)\/(8\/32). Is n\/f*6\/9*673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b + -9e86?\nAnswer: -9eb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 220 = 4*g - 4*h, 5*h = 2*g - 95. Let f be (-2 - (-112)\/g)*6. Let s = 3\/2 + -13\/10. Which is the closest to s? (a) 1 (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30646580197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 52406385 divided by -2\nAnswer: -52406385\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 53231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -4*t**3 + 3304*t**2 - 682276*t = 0.\nAnswer: 0, 413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1211, -3385, -5559, -7733?\n\"Answer: -2174*s + 963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 i when two letters picked without replacement from {p: 2, r: 1, i: 2, w: 1, b: 1, d: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, d: 2, z: 1, l: 3, s: 1}. What is prob of sequence rdz?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/4584 and -71\/101994.\nAnswer: 407976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105126277?\nAnswer: 105126277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a factor of 188708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3, -49, -195, -483, -961?\n\"Answer: -8*b**3 + b**2 + b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -581*a + 584*a - 2, -28*f + a = 118 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*n = -65*n - 50. What is the lowest common multiple of 12 and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.93 + -0.07. Let i(x) = -x**3 + 8*x**2 - 30*x + 104. Let k be i(6). Which is the second biggest value? (a) p (b) 1\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8a (base 14) to base 16\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*c = 170*c + 285*c - 13144 - 10106 for c.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 9:05 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence css when three letters picked without replacement from {c: 1, s: 5, e: 1, k: 1, v: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2 - 75. Let s(f) = 36*f**2 - 4821*f. Determine s(i(o)).\nAnswer: 144*o**4 + 20442*o**2 + 564075","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z. Let h(l) be the first derivative of 3*l + 0*l**3 + 1\/4*l**4 + 3 + 0*l**2. Let o(a) be the first derivative of h(a). Determine o(k(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 10:48 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 6 = v, -10*x = -7*x - 5*v - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15959, 17483, 19007?\nAnswer: 20531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 9715120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123\/4 - 31. Which is the nearest to -0.1? (a) -2 (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.013961*-5.7.\nAnswer: 0.0795777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -46, 2, 2511, 4 in descending order.\nAnswer: 2511, 4, 2, 1, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -345192.1*-6\nAnswer: 2071152.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/6 - 283*a**2\/3 + 560*a.\nAnswer: a*(a - 560)*(a - 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 19. Let s be p(14). Let y = 36 + s. Suppose -4*v + 27 = y. Solve -5*h - 5*x - 8 = 27, 2*x = 3*h + v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 12, -3*u + 21 + 52 = 5*t. Suppose 4*h + u = -13. Let m = h + 14. Let v(r) = r**3 - 2*r**2 - 2*r - 3. Calculate v(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8427*k**3 - 5002*k**4 + 8427*k**3)*(-3*k + k - k).\nAnswer: 15006*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, h: 2, d: 3}. What is prob of sequence chd?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2*j = -21, 4*j = 7357*o - 7360*o - 39 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -382*c*p**4 + 2*c*p + 2*p**2 - 12 wrt p.\nAnswer: -9168*c*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (66\/88)\/((-6)\/(-32))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 5*s + 29, -5304*s + 35 = 4*l - 5307*s for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(7\/140*5*8\/26)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3358626823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4057*f + 493 = 4086*f. Solve 27 = -f*t + 95 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (240\/(-3 + 6))\/(11\/176) a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.8941626us in weeks?\nAnswer: 0.0000000001205260625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 57 and 0.3.\nAnswer: 17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4300 - -1324320?\nAnswer: 1333020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-259202)\/(-9) - (-2 + (-20)\/(-9)). What is l rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -29*o + 2. Let w(u) = -465*u + 30. Let a(h) = -33*t(h) + 2*w(h). What is the derivative of a(y) wrt y?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 215, 736, 1607, 2828, 4399?\n\"Answer: 175*k**2 - 4*k + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121 - 138. Let v = -16 - m. Which is the closest to v? (a) 0.4 (b) 1\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 m, and 2 u when four letters picked without replacement from {b: 4, u: 2, m: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -10*h. Let d be q(7). Let k(z) = -z**3 + 35*z**2 + z + 42. Let f be k(35). Let u = f + d. What is the highest common factor of u and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -35*((-72)\/(-21) + -4). Solve 3*b + b = -q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 541137.9 years?\nAnswer: 6493654.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(140) + sqrt(140)))\/(sqrt(180) + -5*sqrt(180)*1)*3.\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b4 - 73b0?\nAnswer: -71c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**2 + 2*j**2 - j**2 + (-12*j + 15*j + 16*j)*(j + 0*j + 0*j).\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 642811972 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 516?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 238.4856313 to the nearest integer.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwm when three letters picked without replacement from {m: 3, w: 3, v: 4, d: 2, j: 2, h: 2}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 188*v**2 + 1144*v + 332. Let w(m) = -29*m**2 - 176*m - 51. Let s(c) = -32*w(c) - 5*z(c). Determine t so that s(t) = 0.\nAnswer: -7, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 118439 + -71700. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 - -4.5. Let k = -6 + o. Let y = 353.2 + -345.2. What is the third biggest value in -0.4, y, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhcchhhhhchh. Give prob of sequence ccch.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 122 - 11?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/((-10)\/(-20)*-3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61 + -28. Is 784 + 91\/77 + (-6)\/m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1203541252 (base 6) to base 14\nAnswer: 1b48048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -179, -500, -1095, -2054, -3467, -5424, -8015?\nAnswer: -11330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 6*i + 10. Suppose 6*n - i*p = 2*n - 12, p - 8 = -2*n. Suppose 0 = -2*s - 4, -2*a + 0*s + 8 = 2*s. Is n greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 4:41 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 23*r**5\/10 - 73*r**3\/3 - r - 82. Find the second derivative of k(w) wrt w.\nAnswer: 276*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + sqrt(275))**2.\nAnswer: -1656 - 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 16*v**3 + 543*v**2 - 545*v + 2. What is c(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40339.84 millimeters in kilometers?\nAnswer: 0.04033984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0112149 rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbx when three letters picked without replacement from bbxxxx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, g: 12, n: 1, a: 1}. What is prob of sequence gbgn?\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by 139953\nAnswer: -28\/46651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 9 = -5*b. Let u = 1090 - 1092. Which is bigger: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22.69 + -0.01. What is s rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-27))\/(5\/(15\/1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2250085217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38767*t**6 + 113*t**5 + 169*t**2 + 6897*t - 4 wrt t?\nAnswer: -4652040*t**3 + 6780*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 51 = -47. Suppose -638 = -3*a + 2*h, 5*a + h = q*a + 206. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1484 - -1284)*4\/10?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**5 - 12740*o**4\/3 + 16978*o**3\/3 - 4244*o**2\/3 = 0.\nAnswer: 0, 1\/3, 1, 2122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108583 is divided by 15462?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -53*a**6\/6 - a**2 + 130*a - 154. What is the second derivative of g(y) wrt y?\nAnswer: -1060*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -96, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 753*i + 24305 = 758*i. What are the prime factors of i?\nAnswer: 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/(-18) + 13\/117)\/(-1). Let v = -5.64 + -0.76. Let u = -2.6 + v. Sort n, u, -4.\nAnswer: u, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6*1\/(-3))\/(-1) + 8. Let z(y) = -5*y**2 + 6*y. Let q(t) = t**2 - t. Let w(j) = a*q(j) + z(j). Let c(s) = 13*s**2. Give w(c(x)).\nAnswer: 169*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o**2 - 48*o + 399. What is p(12)?\nAnswer: 975","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 2*(0 - -1). Solve -2*v + p*k = -v - 10, 3*v = 5*k + 18 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2036858*w**6 - 4*w**2 + 131*w - 453.\nAnswer: -244422960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - (-5 - 4))\/(5 - 3). Suppose 3*o + 0*p = p + 12, -2*p = -3*o + 12. Suppose 5*v = i*v - o. Solve 3*c - 6*m + 2*m = 11, 2*c - v*m = 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**6\/10 - j**4\/3 + 5*j**2 + 8. Let x(m) be the second derivative of o(m). Find the second derivative of x(r) wrt r.\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.4691839*-0.7.\nAnswer: 2.42842873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1891.8413 + -1.8413. What is the nearest to 0 in 1, i, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 11300?\nAnswer: 11301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 467165840 to the power of 1\/3, to the nearest integer?\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 2*r**3\/15 + 4*r**2\/5 + 8*r\/5 + 8. Determine z, given that g(z) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2 = 4*m - m, 2*m = 3*h + 10. Let b be 4*2 + (m - 4). Let r be 8\/b + 374\/(-51). Is r at least as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172, -170, -166, -160, -152?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + k + 13 = 4*k, 0 = 3*b + k - 9 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -523863655 divided by 74837665.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/3 - 1136\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 2:18 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 980513527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1344 - 1338 = -2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 1\/4, 4.2, 2, 4 in decreasing order.\nAnswer: 4.2, 4, 2, 1\/4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.56, 2, 17686, 1\/6 in increasing order.\nAnswer: 1\/6, 0.5, 0.56, 2, 17686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 4. Let m = 8 + -5. Let p = m - 2.9. Put r, p, -3\/2 in descending order.\nAnswer: r, p, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -359*x**4\/4 - 17*x + 432. Differentiate f(i) with respect to i.\nAnswer: -1077*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*f - 164. Let m = f + 628\/7. What is the nearest to -3 in -2\/17, -4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*sqrt(175)*3 + (-1 + sqrt(175))*-4 - (0 + -6*(sqrt(175) - (sqrt(175) + -1)))) + 5)**2.\nAnswer: -100*sqrt(7) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttee when four letters picked without replacement from tteeteeteetetmtetet.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from {k: 3, d: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 0.6. Let v be (6\/(-36))\/((-1)\/2). Which is the closest to 0? (a) r (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 29 (c) -0.2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 36b05d (base 15) to base 7\nAnswer: 31155553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 6:05 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 7*w**2 + 3*w - 16. What is q(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4993)\/(-8) - 1\/(5 - -3). Suppose 18*d - 2452 = 14*d - 5*a, -d + c = 4*a. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*g - 15*g = -4*n - 29, 2*g + 22 = -4*n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1180168.1 rounded to the nearest ten thousand?\nAnswer: -1180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -2 (c) -1\/136 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -5429 and -5422 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 265895277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 4\/3*d**3 - 3*d + 0*d**2 + 2. What is the first derivative of w(x) wrt x?\nAnswer: 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/35 and -91\/1160.\nAnswer: 8120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 4. Let u(z) = 115*z**2 + 2*z + 11. Let h(r) = 3*a(r) + u(r). Find the second derivative of h(g) wrt g.\nAnswer: 230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(15)\/sqrt(5) + (sqrt(45)\/sqrt(3))\/sqrt(5).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -0.862, 58, 2\/3, 2\/7 in ascending order.\nAnswer: -5, -0.862, 0, 2\/7, 2\/3, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 20001.639 days?\nAnswer: 2857.377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 3:47 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q - 21*q = -103000020. Suppose -5*o - 4*c = q, -5*c = -4*o - 0*o - 82399975. What is o rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 29*t**3 - 68*t + 144. Calculate i(2).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 5*w, v - 3*w = 6*v - 4. Suppose v*f + 10 = -0*f. Let h = 7 + f. Is h not equal to 5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49664754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-2))\/(1498\/856).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 i, and 1 r when three letters picked without replacement from vivvrivi.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.09 (b) -5 (c) -3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in nine sixteenths of a minute?\nAnswer: 33750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*n - 2 - 10, -3*n - 5*h + 58 = 0. Suppose -10*y - 4 = -n*y. What is the tens digit of y\/(-7) - (-906)\/42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -h + 14, 0 = -h + 3*h - 3*n - 35. Suppose -15*o - 12 = -h*o. Solve 5*g = 2*g - o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -175665019062 and 183?\nAnswer: 175665019245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 89, -3 in ascending order.\nAnswer: -3, 2, 5, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1039475873?\nAnswer: 22013, 47221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q + 14. Suppose 2 = -v - y, -v = 2*v - 4*y - 29. Suppose 36 = -3*u + 4*m, 7 = v*m - 2. Let w(g) = -g + 5. Suppose 3 = i - 0. Give i*o(n) + u*w(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 10, -3*q + 2*r + 631 - 611 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 3) to base 16\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16933 - -505046. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 267*u**4 + 10*u**3 + 2*u**2 - 2*u + 295128 wrt u.\nAnswer: 1068*u**3 + 30*u**2 + 4*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.05874 times 91\nAnswer: -5.34534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdtw when four letters picked without replacement from wtdtddd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + 2*u + 2*u**3 + (2 - u - 2)*(-3*u + 3*u - 2*u**2) - 5*u**2 + 5*u**2 + 2*u**3 + (0*u + 8*u**3 + 0*u)*(-2 + 1 + 2).\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 5*o**9\/3024 - o**8\/168 - o**7\/56 + o**6\/9 - o**5\/6 + 5*o**3\/3 - 36. Let b(c) be the third derivative of a(c). Factor b(i).\nAnswer: 5*i*(i - 2)*(i - 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 - 84 - 308*q**2 + 242 - 83.\nAnswer: -308*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 0 = 5*m + 2*p, 16 = 2*m + 4*p. Suppose m = -2*h + 4*r + 22 + 44, -h + 36 = r. Suppose -h + 11 = -2*j. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 1*sqrt(68))\/sqrt(4) + 4*sqrt(17)*2.\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538967 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1159928 and 79893?\nAnswer: 2959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 1\/6*v**4 + 0 + 2\/9*v**3 + 5*v + 0*v**2. Factor s(h).\nAnswer: 2*h*(3*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*m**3 + (4*m - m - 5*m)*(8*m - 8*m - 7*m**2))*(m + 0*m - 2*m).\nAnswer: -11*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60454 + 241071. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 70, 578, 1952, 4624, 9026, 15590?\n\"Answer: 72*i**3 + i**2 + i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.958 + -1.825. What is q rounded to one dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, -2708071, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 18*a = 102, 4*f - 4*a - 9 = 23 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**2\/2 + 4. Let r(k) = -5*k**2. What is b(r(l))?\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - j = 42. Let z(o) = -o**2 - 5*o. Let i(f) = 3*f**2 + 11*f. What is j*z(x) + 3*i(x)?\nAnswer: 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 239*o - 941. Let p be m(4). Let r(n) be the second derivative of 5*n**3\/6 + n**2\/2 + 2*n. What is r(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/14360772 and 51\/16?\nAnswer: 57443088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/272 - (-468)\/(-68)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + sqrt(288) + 1) + 1)**2 + (-1 + sqrt(288) + -1 - sqrt(288) - (4 + 3 + sqrt(288) + sqrt(288)))**2.\nAnswer: -48*sqrt(2) + 5866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -189 + 193. Suppose 6*m - 18 = 3*b + m, 9 = 3*b + t*m. Suppose -4*y = -2*d - 0*y - 12, d + 2 = y. Put -7, d, b in descending order.\nAnswer: d, b, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 1 - (-144 - -115).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4 - 23*q**3 + 40*q**2 + 16*q.\nAnswer: q*(q - 4)**2*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*x - 26 = 2*y, x = -5*y - 71. Let h be (-2)\/2*1*y. Suppose h + 41 = 5*l. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 3*m - 3. Let t = 6 + -4. Let s(y) = -y - 77 + 88 + 0*y - 12. Determine t*d(i) - 6*s(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + 21*i**2)*(-17*i**2 + 10*i - 10*i).\nAnswer: -357*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100401679.\nAnswer: 7, 14343097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2 + 7 - 3 - t. Suppose 0 = -3*u + 2*r - r - 10, 2*r + 7 = -3*u. Let w be -6*1*((-2)\/u - 0). Give d(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1806656\/15 - -673657\/5. Let w = 14531 - d. Let o = w - 241. Which is the third smallest value? (a) o (b) -1\/5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 891377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41.3 - 40.921. Let z = 14201.52 - 14201.8990169. Let d = u + z. What is d rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 + -27. Let d be 18\/(l\/(-4) + 6). Suppose 30 = 3*t - t. Calculate the highest common factor of d and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 83*f**2 + 55*f - 337. Is h(5) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/122 + 213\/61. Determine j so that 5\/2*j**3 + j + h*j**2 + 0 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6176 + -6174. Which is the third biggest value? (a) 1 (b) j (c) -2\/11 (d) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 86154097, 86154099, 86154101, 86154103, 86154105, 86154107?\n\"Answer: 2*r + 86154095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 105? (a) 0.7 (b) -1\/5 (c) -0.334\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*y - 37 - 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 + 57 = -5*h - 3*p, h - 35 = 2*p. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (-46 - (40 + -90)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwd when three letters picked without replacement from {f: 3, y: 3, d: 1, w: 4, t: 2, n: 4}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 471 + -471.4. What is the closest to o in 1\/15, -1\/5, -2\/5, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.19 take away 40.81?\nAnswer: 12.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3467449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-3)*-35*(-6768)\/11515?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 63*h**2 + 216*h + 394. What is q(59)?\nAnswer: -786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 60, 72, 66, 36, -24?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/5 and 79\/43155.\nAnswer: 43155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 7. Let h be k(13). Suppose 5*b - 9 = h. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 302 + -6?\nAnswer: 2fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -70, -104, -136, -166?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(312)*3 + sqrt(312))\/sqrt(12))\/(sqrt(2) + 5*sqrt(2)*-3) - 2*(5 + 2*sqrt(832) - (sqrt(832) + 1)*-6))**2.\nAnswer: 39512*sqrt(13)\/7 + 10506968\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + 2*g + g + g as f*g + u and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000249 to 6 decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 113\/5 + -23. What is the third smallest value in -7, 2, s, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.39*0.3\nAnswer: 0.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89106587*b**3*j**2 - 2*b**2*j**2 + 64919*b**2*j + 2*j**2 + 11*j wrt b.\nAnswer: 534639522*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 154 in -0.15, -1, 1\/26, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 184 = -19*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-32)\/20)\/8)\/((-12)\/(-15))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3772.\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 3*x - 2*x)*(-2*x**3 - 3*x**3 + 0*x**3)*(x + 0*x - 3*x) + (x + 4*x - 3*x)*(-2*x - 4*x**2 + 2*x)*(-10*x**2 - 3 + 3).\nAnswer: 60*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, j: 4, b: 2}. Give prob of picking 2 b.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 11\/452?\nAnswer: 11\/452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/10, -41, -4, -0.3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 175035 + -5?\nAnswer: 175030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**3\/6 + 7*d**2\/2 - 3*d. Let y be p(-6). Is y less than -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/4 - (-2)\/(-4). Let y(m) = m + 46*m**2 - 24*m**2 - 21*m**2 - 2. Determine y(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/2 - 43*r**3\/2 + 45*r**2.\nAnswer: -r**2*(r - 2)*(r + 45)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 230837923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 162, 294, 426, 558, 690?\n\"Answer: 132*l + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63504\/5 - 162\/5*b**3 - 1\/5*b**4 - 6057\/5*b**2 + 40824\/5*b.\nAnswer: -(b - 3)**2*(b + 84)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 793.8562 microseconds to seconds.\nAnswer: 0.0007938562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67240 is divided by 2689.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*t**4 + 494789*t**3 - 850995906*t.\nAnswer: -576*t**2 + 2968734*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 5*z**2 - 5*z**2 + 2*z**2. Let j(s) = -3*s - 5. Let d(k) = k + 1. Let c(t) = 5*d(t) + j(t). Calculate c(h(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, e: 2, t: 3}. What is prob of picking 3 w and 1 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 5*g + 5. Let i(r) = -4*r - 4. Let u(b) = 7*b + 7. Let w(m) = 5*i(m) + 2*u(m). Let x(q) = 6*n(q) + 5*w(q). Let j(t) = -t**2. Give x(j(a)).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3682830, 7365661, 11048492, 14731323?\n\"Answer: 3682831*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 371444109 and 14334?\nAnswer: 7167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96218 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 11*u**8\/56 - 7*u**4\/12 + 9*u + 4. Let l(v) be the first derivative of x(v). Find the third derivative of l(n) wrt n.\nAnswer: 1320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 674089773 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uauu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3219.\nAnswer: 3, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5700 - -5700. Which is the closest to 0.4? (a) t (b) 0.1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579587 is divided by 110?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/13, -16\/55, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6094375404 rounded to the nearest 100000?\nAnswer: 6094400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 7*r**2 - r - 5. Let n(s) = -1 - 1 - s - 1 + 2. Let a be n(6). Give z(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v**2 + 3*v**2 - 3*v**2 + 3*v**2 + 2*v**3 in the form c*v + j + g*v**3 + h*v**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5 - 1382*n**4 - 20182*n**3 + 66758*n**2 + 344760*n = 0. What is n?\nAnswer: -676, -17, -3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2429*u + 187*u**2 - 127*u**2 - 61*u**2)*(-3*u**2 + u**2 + 0*u**2).\nAnswer: 2*u**4 - 4858*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29607, 59203, 88797, 118389, 147979?\nAnswer: 177567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 + (50 - 15) - -14.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 391*b + 2742. Let l be v(-7). Let s(r) = -r + 11. Let g be s(9). Solve 0 = f - t - g*t - l, -5*f = -5*t + 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3455 and 18657?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.06 (b) 20 (c) 1\/2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/7)*b**(-4))\/(b**(-1\/3))**(-2\/13) assuming b is positive.\nAnswer: b**(-755\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1173*c - 2346*c + 1177*c = 135*u + 6905, 2*c = -u - 41 for u.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o - 14. Let t(a) = -a - 3. Let x(j) = -h(j) + 3*t(j). Give x(-19).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = -11*m. Let j be (-6)\/((3 - m) + -1 + 0). Let g(v) = 0*v - 4 - v - v**2 - 3*v. Determine g(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0865 and 1807.\nAnswer: 156.3055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a week in hours?\nAnswer: 1134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -4269355.\nAnswer: 1\/853871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 + 3*z + 1. Let n = -160 - -158. Calculate l(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3310*k - 3315*k - 40 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 113174039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 18*k - 16*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 6*n**2 - n**2)*(13*n**2 + 22*n - 22*n) - 3*n**4 + 5*n**4 + n**4.\nAnswer: -62*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 526 = -44. What is the remainder when m is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -0.2, -5, 25188?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*13\/(-208)*-12?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 13*a - 7. Let i(f) = -16*f + 11. Let s(n) = 3*n - 5. Let b(x) = -i(x) - s(x). Determine 5*b(w) - 4*j(w).\nAnswer: 13*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 60*w - 142. Let s be r(-5). What are the prime factors of -5 + 11\/((-11)\/s)?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 343, 686, 1029, 1372?\nAnswer: 1715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 35*j - 28. Calculate the smallest common multiple of 119 and l(4).\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**2\/2 + 9*i + 2. Let v be m(-6). Solve 6*s = v*s - 2*j + 10, -4*s + 3*j = 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2202111111 (base 3) to base 13\nAnswer: 1b949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4 = 0, -i + 2*s = 7*s + 15. Suppose -2*w + 1 + 17 = 4*h, 5*w - 60 = i*h. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 264.855 and -2559.\nAnswer: -2294.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/5 - 2\/(-5). Suppose -3*b = 4*o + 162, -4*b - 2*o + 144 = -7*b. Let k be (b\/(-20))\/((-1)\/(-2)). Solve -p*f + k*f = -12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l - 34 = 7*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.159ng to micrograms.\nAnswer: 0.000159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-3)*(-990)\/(-748). Let k = l + -133\/153. Factor 16\/9*s**3 - 4\/9*s**4 + 0 - k*s + 4\/9*s**2.\nAnswer: -4*s*(s - 4)*(s - 1)*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i + 2. What are the prime factors of b(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6503? (a) -0.0985 (b) -0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91911678 by -4.\nAnswer: -45955839\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 - -35. Let n be (j\/(-51))\/(1\/6). Is 3 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.3 + -20.3. Suppose 5*r = 2*r + 12, a - 3*r + 13 = 0. What is the nearest to -1 in a, 2\/5, -4, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, d: 8}. Give prob of sequence dd.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwxwiwwlzxxz. What is prob of picking 2 x, 1 l, and 1 i?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n - 10. Let f be (-1)\/(-2) + (-34)\/4. Let c be p(f). Let k be (-2)\/c - (-20)\/6. Solve -b = -2*y - k*b + 2, 0 = 4*y - 4*b + 20 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/60 and 89\/14428?\nAnswer: 216420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4 - 30*t - 3 + 29*t - t**2. What is y(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -3*c**4\/8 - 53*c**3\/6 - 5*c**2. Suppose r = 2*r - 10. Calculate the least common multiple of z(-7) and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390778 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213030 (base 4) in base 8?\nAnswer: 14714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3615821.\nAnswer: 11, 191, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 13039*v - 1477. Let u(l) = 26073*l - 2956. Let m(d) = 5*n(d) - 2*u(d). What is the derivative of m(z) wrt z?\nAnswer: 13049","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35749 is divided by 328.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5 - 15 = 0. Suppose 0 = a*o - 40 + 10. Solve z - o = -4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.885 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence to when two letters picked without replacement from {h: 3, s: 1, o: 3, a: 1, e: 2, t: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by -8145\nAnswer: -29\/8145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - a + 1. Let j(g) = 2*g**3 + 2*g**2 + 6*g - 2. Let c(r) = -j(r) - 3*o(r). Let p be c(-3). What is the greatest common factor of 17 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from {e: 2, z: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5155, 19972, 44437, 78544, 122287, 175660, 238657, 311272?\nAnswer: 393499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48382 = 47*y - 49604 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 8. Suppose l + 3*l - 4*f = 64, m = -3*f - 15. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 70955857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -463*o**2 + 425*o + 41. Calculate a(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1437 and 153280?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2690, -10822, -24384, -43376, -67798, -97650, -132932?\nAnswer: -173644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3834 = -4*y, -r - 4*y = -y - 758. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/57)\/(6\/(-18)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -111312 (base 6) to base 13\nAnswer: -4385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -56871, -56861, -56845, -56823, -56795, -56761, -56721?\n\"Answer: 3*r**2 + r - 56875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t. Let a be j(-6). Suppose a = 2*p - 0. Suppose p*o - 380 = -143. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.23 - 456.23. Let b = -452.999946 - v. What is b rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8807810 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-160)\/8*(-2)\/16)\/(-5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/((-28)\/(-49)))\/(-1)*20\/14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 21*w + 49. Let m(i) = -7*i - 16. Let o(g) = 8*m(g) + 3*u(g). Let h be o(10). Let v = h + 114. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**2 + 10 - 10)*(-u - u - u).\nAnswer: 15*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/21)\/(a\/(a\/(a\/(a*a*a\/(a*(a*(a*a\/(a**(4\/3)*a))\/a*a)\/a))))))\/(a**(-12)\/a**3) assuming a is positive.\nAnswer: a**(344\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-45580)\/1749 - 8\/(-132). Sort 2, o, 0, -5 in ascending order.\nAnswer: o, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1258655, 2516857, 3775059, 5033261, 6291463, 7549665?\n\"Answer: 1258202*q + 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**5\/19 - 2*o**4\/19 - 10*o**3\/19 - 6*o**2\/19.\nAnswer: 2*o**2*(o - 3)*(o + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100186 is divided by 31890.\nAnswer: 4516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (15 - 1) - ((9 - 5) + 10).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + 18. Let l = 70 - m. Let r = -36.3 + l. What is r rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21265 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (22 + -19) - 9.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 1:33 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*sqrt(648) + sqrt(648)*-1*-2)**2*-2.\nAnswer: -32402 + 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 916524689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 - 6*r. Let c be b(-4). Let h = -16 + 40. Let d be ((-2)\/h)\/((-1)\/4). Which is smaller: d or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 43?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 6*l + 2. Let v be m(-4). Suppose v = 2*t, -2*j + 4*j + 3*t - 19 = 0. Is j\/(-1 - (-42)\/39) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21555 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 354219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -5*f + 405, 3*f + 161 - 398 = g. Suppose 69*s - f*s = -9. Calculate the greatest common factor of s and 113.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + (1*sqrt(112) - sqrt(112)))*-1 + (sqrt(112) - sqrt(112)*-2 - sqrt(112))*5*6)*-3*1)**2.\nAnswer: -21600*sqrt(7) + 3629025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-12) - (-18)\/216*-5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1962 + -52960\/27. What is the common denominator of p and 23\/9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623?\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/12)\/((-1)\/9). Let y be 1\/(-20) + (78\/(-520) - 15\/25). Let v = 0.1 + -0.3. Sort l, y, v in descending order.\nAnswer: l, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -769*n**6\/40 + 233*n**5\/6 + 9*n**2 - 109*n. What is the third derivative of l(d) wrt d?\nAnswer: -13842","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-330)\/(-50))\/(319\/(-870))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -94 (base 11) to base 10\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 18 = -12. Does 4 divide (8\/k + 2)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3029*l + 14. Let h(k) = -1009*k + 5. Give 8*h(i) - 3*z(i).\nAnswer: 1015*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 1. Let p = -1.9963 + l. What is p rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 3:03 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1628777, -3257523, -4886257, -6514985, -8143713?\nAnswer: -9772447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43916 is divided by 261?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2426774 is divided by 134799?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 950 + -641. What is the highest common divisor of 18 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -266 - -446. Calculate the greatest common factor of 144 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -16 - 19 - 11 + 45. Let m(b) = 5*b + 8. What is -m(p) - 5*x(p)?\nAnswer: -5*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1238209 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.2, 6, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -5, -9 in descending order.\nAnswer: 0, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/59, -9\/16, 9156\/5 in decreasing order.\nAnswer: 9156\/5, -2\/59, -9\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*b + 2 = 2*f, -f = 5*b - 18. Let v = -85 + 103. Suppose -21*i = -v*i + 27. Is f at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 6*f**2 - 7*f + 4. Suppose -19 = 4*u + 9. Give o(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9*(-6)\/(-63))\/(6\/(-28))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.302435 millilitres to litres.\nAnswer: 0.007302435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 6474 (c) 88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (62\/186)\/(4\/(-240))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -0.1 (c) -0.14 (d) 4 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53377111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-6)*4)\/((-204)\/(-1836))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5061*f**3*t - 296*f**3 + 2*f**2*t*u**2 + 2*f**2*u**2 + 156*f**2*u - 5*t wrt t?\nAnswer: -5061*f**3 + 2*f**2*u**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 27735 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 2)*(6*x - 8*x + 44*x)*(-2*x**2 + 5*x**2 - 2*x**2 + (6*x - 4*x - 3*x)*(x + 2*x - 5*x)).\nAnswer: -378*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 4. Suppose 0 = -3*b + j - 0. Suppose 0 = l - b*c, -2*l + c + 8 = -7. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 1\/431, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 2:13 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/10)\/((-4)\/(-20)). Let f be 3\/9 + (-3)\/9. Let p(d) = 2*d**3 + d**2 + 5. Let l be p(f). Sort 1, u, l.\nAnswer: 1, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 451, 462, 483, 520, 579, 666, 787, 948?\nAnswer: 1155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 7*b + 1. Let z be (12\/10)\/((-6)\/(-20)). Suppose z*f - 11 - 17 = 0. Calculate the least common multiple of w(5) and f.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3259 - 3244. Calculate the remainder when 4377 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + (130 - 139) - 138?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -3*x + 0*x**2 + 0 + 1\/6*x**3. Let g(v) = -v**2. What is g(q(f))?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 1 in increasing order.\nAnswer: -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*(1 + 3)\/8. Suppose j*v + 0*w = -2*w + 9, 3*w = 0. Sort v, 0, 1 in ascending order.\nAnswer: 0, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*y = -y - 41, -5*y - 15 = j. Suppose -3*g + 3 = -0*t - 3*t, 0 = j*t - g - 3. What is the biggest value in -2, t, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106 - 101. Let z be 59584\/120*9 - (-1)\/m. Let o(p) = -z - p**2 - p + 4469. Let g(y) = -y**3 + y**2 + y. What is g(u) + o(u)?\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72170 + -31523. What are the prime factors of m?\nAnswer: 3, 17, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 249 + 9*z**3 + 33*z + 10*z - 250 - 8*z**3 to o*z + m*z**3 + q*z**2 + r and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/(7\/(-28))*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(25\/(-2))\/5. Let t(m) be the third derivative of -1\/20*m**b - 3*m**2 + 1\/8*m**6 + 0*m - 1\/112*m**8 + 1\/70*m**7 - 2*m**3 + 0 - m**4. Factor t(d).\nAnswer: -3*(d - 2)**2*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12131001 (base 4) in base 5?\nAnswer: 1321213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -2*h**5\/5 + h**4\/6 - 9*h. Find the third derivative of b(p) wrt p.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2225729*w - 2*f = -2225726*w + 9, 5*w = -3*f - 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r - 2. Let w be l(-4). Let c be -1*6*(-2103)\/w. Let y = c - 550. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.89 + -0.01. Let r = v + 0.89999972. Round r to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5 = 2*r + 13, 0 = -5*r + 15. Solve -p = h - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11850476.03 to the nearest one thousand.\nAnswer: 11850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1667059.\nAnswer: 89, 18731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2993 + 4?\nAnswer: -298e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**4 - 56*j**3 - 28*j**2 + 312*j = 0. What is j?\nAnswer: -13, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -531 - -121?\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(117) - 1*sqrt(117))*4)\/(sqrt(45)\/(sqrt(5)*-1)))**2 + 2)*6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -523713.\nAnswer: 1\/523713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/77488 and 41\/145928.\nAnswer: 48739952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppbpxxpxpbeepepp. What is prob of picking 1 x and 1 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, d: 4, f: 1, b: 2, c: 4}. Give prob of picking 1 d and 1 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395906745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 12. What is the remainder when 25 is divided by v(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 12:23 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1640349?\nAnswer: 3, 182261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 255110.\nAnswer: -127555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -14*w**3 + 2*w + 1. Suppose 4*l = -l + 4*x - 5, 4*x = -3*l - 3. What is the remainder when 24 is divided by i(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 1.9. Sort 0.5, t, -1.1 in increasing order.\nAnswer: -1.1, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/42 + (-4386)\/(-301). Solve o*w + 78 = -12*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o - 44 = -124*o + 65. What is the nearest to o in -4, -102, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 6. Calculate the remainder when 12 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 1.8 (c) 1\/5 (d) -17240\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-402 + 4)*2\/(1 - 3)?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/259 or 1?\nAnswer: -2\/259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78654 is divided by 19634.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 6 + (-24 - (-3 - 18))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1143*a - 2081*a + 940*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 123062322 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 4:05 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z**4 - 878*z**3 + 203793*z**2 - 4858956*z + 29943540 = 0. Calculate z.\nAnswer: 11, 15, 426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7536, 0.5, 0.\nAnswer: 0, 0.5, 7536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -623*r + 215*r + 209*r + 210*r.\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 59798 and 24302?\nAnswer: 25055362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 460, -910, -3194, -6392, -10504, -15530?\nAnswer: -21470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 3*k + 4. Let x(g) = 2. Calculate a(y) - 2*x(y).\nAnswer: y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*j**3 - 77*j**3 + 375 - 475 to the form b*j**3 + a + s*j**2 + i*j and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(20) + sqrt(40)\/sqrt(2))*6)\/((sqrt(4) + -1*sqrt(4) - sqrt(4))*-5) - (-2 + (-1 + sqrt(5)*-2 + 2)**2)).\nAnswer: -23 + 32*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.02979011 rounded to 2 dps?\nAnswer: -6.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. Suppose -x*z = -7*z + 5. What is the units digit of ((-3 + z)*19)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97824 divided by 24456?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-3 + (-10)\/5). Let c(j) = -j**3 + 3*j**2 + 2*j - 4. What is the units digit of c(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4110411 (base 6) to base 4.\nAnswer: 233310013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 10*y**3 - 3*y**2 - 11*y**3 - 1 - y + 2*y**2. Give l(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -0.297\nAnswer: 0.0297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grgrgegrrgrrgrrrrgr. What is prob of picking 4 g?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1465b1 - -2?\nAnswer: 1465b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96*q - 45*q - 129*q to the form a*q + x and give a.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465*z + z**3 - 465*z.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 33263479?\nAnswer: -3326347.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1, -43\/41, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -5. Let u = r + 3. Let q = u + 2. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14155714.7 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/407 (b) -0.5 (c) 2\/5 (d) -21 (e) 3 (f) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 2*n + 2. Let d(g) = -g**2 - 3*g + 1. Let u(w) = 5*d(w) - 4*l(w). Determine u(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1303 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 4 (b) 1 (c) 2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/7 greater than or equal to -0.093?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/7 - 96*n\/7.\nAnswer: -2*n*(n + 48)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -136 bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -875242\nAnswer: -5\/875242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*n + 3*n - 2*n)*(-3 + 3 + 2) - 4*n + n + n + 3 - 3 - n)*(1296 - 186 + 569)*(0 - 2*n + 0).\nAnswer: -16790*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 12\/25 of a kilogram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 8:47 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3*n - 10, -2*h - 8 = 9*n - 6*n. Which is the closest to 0? (a) h (b) -1 (c) 13\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -2*o - 5*q, 5*o + 5*q - 3*q = 105. What is the remainder when 54 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n**2 - 3*n - 2. Let i(f) = -12*f**2 + 9*f + 6. Let r(a) = -11*h(a) - 4*i(a). Let v be r(-2). Suppose -d + 6*d = v. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*f + 30. Suppose r - 12 - f = 0. Does 19 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - u + 3. Let h be n(0). Factor 3*y**2 - 3*y + y**h - 60 + 61 - 2*y**3.\nAnswer: -(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -6*q**4 - 2165*q**3 - 187097*q**2 + 220873*q - 31605 = 0.\nAnswer: -215, -147, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -8*r**3 - 3*r**2 - 2*r + 11. Let v be n(-5). Let d = -4809 - v. Let z = -4062 - d. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/20*(-36)\/(-42))\/(30\/(-48)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 - 5227632*t + 5227631.\nAnswer: (t - 5227631)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43498 and 7371?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 8:20 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 118 - (167 - (100 + -17))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h + 5. Let n(l) = 3*l + 0*l + 2 + 9. Calculate 7*g(r) - 3*n(r).\nAnswer: 5*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -29. Let i = 13.08 + x. Let v = -3.08 + i. Which is the second biggest value? (a) -0.1 (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c. Suppose -4*q = -19 - 1. Let p(t) = -3*t + q*t - 6*t - 7*t. Calculate p(z(l)).\nAnswer: -33*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 7:51 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 510, -3, -9, -5, -167, -2.\nAnswer: -167, -9, -5, -3, -2, 0, 510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*i**3 + 12*i**3 + 27*i**3 + 10*i**3 + 9*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 3*m**5\/20 + m**4\/12 - 2*m - 3. Let z(w) be the first derivative of s(w). What is the third derivative of z(l) wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4 = 6*i. Let x(p) = 9*p**3 + 15*p**3 - i*p**2 + 2*p + p**2 - p. Does 24 divide x(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269 + 37 = -29*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssslllllllslllllllll. What is prob of picking 4 s?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 23*k**2 - 5135*k + 141571. Give x(27).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 128645 take away -3498?\nAnswer: 132143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 775.345647 - 775.39. Round y to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, j: 2}. What is prob of picking 2 j?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 709*x**2 + 1715*x**2 + 2 - 2 to the form a*x**2 + w + n*x and give a.\nAnswer: 1006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -8 (c) 0.1 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38*a*c*z - 3*a*c - 287*a*z - 5*c*z + 570*c + 75700*z wrt c?\nAnswer: -38*a*z - 3*a - 5*z + 570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 7 (b) 1\/5 (c) -3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.55 rounded to the nearest integer?\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-21) + 903\/(-539) + 1\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-8)*50\/35*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502 is divided by 164?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 38358 to the power of 1\/2, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 839*j**5 + 14*j**3 - 9180*j**2?\nAnswer: 50340*j**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/10)\/(-3)*120\/16?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.4403 or -0.1?\nAnswer: 0.4403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 8 = -23. Suppose x*t = 6*t - h - 204, -5*t - 4*h = -323. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(91)*-5 + sqrt(91) + -4*(sqrt(91) + -2*sqrt(91)))\/(sqrt(252)\/(sqrt(4) - (sqrt(36) - sqrt(576))\/sqrt(9) - sqrt(4)))*-5.\nAnswer: 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 5*m + 11 = 0, 33 = -5*u + 3*m + 30 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 9*y**7\/14 - 3*y**6\/10 - 6*y**5\/5 + y**4 - 8*y. Factor t(c).\nAnswer: 3*c**2*(c + 1)*(3*c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*r = -5731281 + 1781727. What is r rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -1, 10, 21, 32, 43?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -660911 - 0.17.\nAnswer: -660911.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 814 - 809. Which is the nearest to 1? (a) -2\/7 (b) -3\/2 (c) g (d) 7\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-6 - (-4 + -8 - -2))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*((-11)\/(-2024))\/(2\/(-4)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.05 (b) -4 (c) -0.5 (d) -2\/5 (e) 0.2 (f) 0.1 (g) 5360\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75 and 72.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 342 and 266.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((3 - -5) + -13 + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, e: 2, r: 1, b: 1, n: 2, v: 1}. Give prob of sequence vd.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 695 from 0.064.\nAnswer: -694.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -3\/2 (c) 0 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -4 + (-15 - (2 - 8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*i - 38*i**3 + 19*i + 20*i - i wrt i.\nAnswer: -228*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 + 7)*1\/1. Suppose -5*n + 21 = p*q, 2*n = -3*q - 12 + 60. Let a be (-10 + q)*(1 - 0). Solve -2*g + 0*g + a = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 4 = -10*l + 44. Let -4\/19*n**l + 0*n - 2\/19*n**3 + 0 = 0. Calculate n.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -3*i - 123. Let k = i - -46. Suppose -3 = -4*l - 3. Which is the nearest to 2? (a) 0.5 (b) k (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1228214 is divided by 139?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/7 + 43452*b\/7 - 236009538\/7.\nAnswer: -2*(b - 10863)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 + 94627.44821.\nAnswer: 94626.34821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*z - 36*z - 148*z - 444 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 3 + 2)*-4.\nAnswer: -20 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/7 - 157908*j\/7 + 315828\/7.\nAnswer: -3*(j - 2)*(j + 52638)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 2494134944940 and -0.3.\nAnswer: 2494134944939.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5291811.\nAnswer: 3, 7, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 9:22 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/3)\/m*m)**(2\/31))**(2\/37) assuming m is positive.\nAnswer: m**(16\/3441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-1 - (2 - 3))\/(-2) - -5 and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r**2. Let p(m) = -4*m**2. What is t(p(x))?\nAnswer: -64*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2 - 4 + 17*i**2 - 6*i**2 + 3*i as m + y*i**2 + t*i and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (31949*i - 362*i**2 - 31949*i)*(3*i + i - 2*i)*(-6*i + 0 + 2 - 4*i) as h*i**3 + w*i**2 + n*i + r + q*i**4 and give q.\nAnswer: 7240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - 18*n + 512 = 0. Let m be 51\/21 + -2 - n\/14. Calculate the greatest common divisor of 407 and m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 0 - 5*g + 9*g + 0.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b + 6*b + 6*b + 3*b.\nAnswer: 19*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/v**1*v)))\/v)**(-1\/34)\/(v**11\/(v\/v**(-1\/4)*v)) assuming v is positive.\nAnswer: v**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/4)\/(1\/4). Factor -3*k**4 + 9*k - 6*k**3 + 3 - 6*k**3 + 6*k**r - 3*k.\nAnswer: -3*(k - 1)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 3 = 8*q. Let t = q + 11. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2453056 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -560, -1158, -1756, -2354?\nAnswer: -2952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 3*m**2 - 3*m + 4. Let f = 13 + -18. Is 12 a factor of x(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373922?\nAnswer: 2, 31, 37, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/4)*o\/((o**(-3\/4)*o)\/o*o)*o)\/(o**(-5)\/((o**(-7)\/o)\/o)))\/(o*((o\/(o\/o**6))\/o)\/o*o\/o**2)**26 assuming o is positive.\nAnswer: o**(-106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 60*p - 633. What is the remainder when 124 is divided by c(11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.41 (b) 5 (c) -5 (d) 4 (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 15, -4*h = -h + 3*c + 60. Let g be (4\/10)\/((-3)\/h). Let o be (-4)\/5 + (-123)\/(-60)*1. What is the fourth smallest value in o, g, 2\/13, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 9*k**2 + k + 2. Let w be i(-9). Suppose -25 = -2*s - 3. Let r = s + w. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 278 and -0.18.\nAnswer: -50.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000043 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/20338 - -1443977\/427098. Find the common denominator of -33\/2 and j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*k**2 - 142773*k - 960300 = 0. What is k?\nAnswer: -1100, -291\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 9 = 3. Suppose 2*g + g = -2*z + 5, -4 = -z - u*g. Let d(j) = -26 + 1 - 6*j + 25 + j. Calculate d(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -300230210 (base 4) to base 16\nAnswer: -30b24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25657*x**2 + 3 + 25760*x**2 - 11 + 8.\nAnswer: 103*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = q - 5*n, -q - 1 = 9*n - 12*n. What is the smallest value in 9, q, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72\/5 + -14. Let f = -37 - -149\/4. What is the nearest to b in 0.4, f, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-254)\/(-7) + 16\/(-56). Let g be ((-8)\/m*3)\/(-1). Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xxxxxxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d - 2*d - d)*(-2 - d + 2) - 3*d - d**2 + 3*d + 0*d**2 - 7*d**2 - 2*d**2 to the form q*d + z + g*d**2 and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*u + 18, 4*u + 0*k - k = -24. Let q be 2*(-10)\/(-8)*u. Let o = q + 16. Sort o, -4, -3 in decreasing order.\nAnswer: o, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(3) + (sqrt(3) + 0)**2 + -3.\nAnswer: -1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52774*m**4 - 373562*m**2.\nAnswer: 1266576*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -351, -485, -849, -1557, -2723, -4461?\n\"Answer: -19*o**3 - o**2 + 2*o - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -155 - -6ad01?\nAnswer: 6ab8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -30.922. Round u to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*q = -43*q + 112. Let p(b) = -b**2 + 7*b - 2. Let f be p(6). What is the highest common factor of f and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16422 divided by 102?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -45.1.\nAnswer: -18.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*1\/((-4)\/((-7656)\/(-9))). Let m = -11408 + n. What is m rounded to the nearest 100?\nAnswer: -10800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*r + 43. Let a(n) = -n**4 + 4*n**3 - n**2 - n - 6. Let p(h) = -h**4 + 4*h**3 - 2*h - 7. Let w(y) = r*a(y) - 5*p(y). Let w(q) = 0. What is q?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24384.34 + -4.084.\nAnswer: -24388.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4131 and 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46138923.\nAnswer: 3, 79, 97, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*c - 161*c - 2899 - 141 = 0 for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 381312979?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*l - 10*l. Suppose -o + 2*o + 3*a = -6, -5*o + a + 18 = l. Let s(f) = -f**3 + 6*f**2 + 3*f - 7. Let q be s(6). Solve q - 2 = o*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -325*o - 3. What is the tens digit of w(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 882386 to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -81 (c) 473 (d) -4 (e) 5\/9 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 731497.\nAnswer: 13, 56269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.14699 + -0.21348. Let s = -53 + 53.067. Let c = i + s. What is c rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - 37. Let c = -833770.999953 - -833786. Let g = c - k. Round g to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17305829 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 13*z - 56*z + 15*z + 13*z + 10*z. Let g(l) = -17*l**2 - 54*l. What is g(r(i))?\nAnswer: -425*i**2 + 270*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 - 132*q**2 + 2*q + 374. Let n be a(66). Suppose 0 = -2*f - 2*y + 94, 0*f - 3*f + 133 = -5*y. What is the greatest common divisor of n and f?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29163 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31174 is divided by 7791.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23385 or -23333?\nAnswer: -23333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349048 is divided by 418.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v + 48 - 48)*(0 - 1 + 0)*(-2*v + 0*v - 6*v) to the form x + c*v**2 + j*v and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 11. What is the remainder when 6 is divided by d(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94*c*h**3 - 134*c*h - 3*c - 2*h**6 + 3*h**3 + h**2 - 3 wrt h?\nAnswer: 564*c - 240*h**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1766, 4172, 8180, 13790, 21002, 29816, 40232?\n\"Answer: 801*v**2 + 3*v + 962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 71812992 and 14050368.\nAnswer: 646316928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + m + 1. Let w be ((-5)\/(-2) - 1)*2. Let q = w + -7. Let h(v) = 3*v**3 - 5*v - 4. Calculate q*o(s) - h(s).\nAnswer: s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 2*s. Let d(h) = -s + h - h + h - 3. Determine d(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -24*l**3 - 2*l**2 - 3*l - 2. What are the prime factors of d(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 f when three letters picked without replacement from feffffcffueufuu?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*n = 25, 71 = 3*h + 6*n - 11*n. Which is the second smallest value? (a) 5 (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.09 + -0.06. Let j = -0.408 - -0.078. Let u = j + l. What is the closest to 0 in -0.1, u, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 222 by 2.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**4\/7 + 15212*p**3\/7 + 526556*p**2\/7 - 3631532*p\/7 + 3089760\/7 = 0.\nAnswer: -3768, -41, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229940 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -80 + -9 - 7.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/4318 and -79\/67334.\nAnswer: 145374106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*s = -f + 84, 5*s = 4*f - 177. Suppose -4*n + f = -5. Solve -2*g + n = 4*o - g, -4*g = -4*o + 32 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 675*q**4 - 1170*q**3 + 327*q**2 + 156*q + 12 = 0.\nAnswer: -2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(-1)\/2 + (-288)\/(-36). Let j = 27\/4 - w. Let s = -3 - -2. What is the second biggest value in j, s, 3\/8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.048323726 to three decimal places.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 285 - 315 = 0. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11027 and 1.\nAnswer: 11027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*c - 2 = -24, 4*c = j + 13. Suppose 0*m - j*m + 6 = 0. Find the third derivative of -2*p**6 + p**6 - 8*p**m - 5*p**6 wrt p.\nAnswer: -720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, 4, -4, -6 in increasing order.\nAnswer: -6, -4, 4, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2056771 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110010101001010111 (base 2) in base 14?\nAnswer: -15094b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3688 - -255. Suppose 4*f = -2*u + 769 + o, -3*f - 5*u = -3548. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13851 and 30780.\nAnswer: 277020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 500\/(-14) + 4\/62 + (-5548)\/15841\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-2067)\/(-212) + 15\/12 and 140.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + ((-1 + sqrt(108))**2 - sqrt(108)) + sqrt(108) + -2*sqrt(12) + -1 + 3)*-3 + 5.\nAnswer: -328 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -3)\/((2 + -1)*2). Suppose -c + 30 = -k*c. Suppose 0 = -3*o - 5*p + c, o + p - 8 = -0*p. Solve o*h + 12 + 13 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 - j**4 + 2*j**2 - 2*j**2 + 2*j**4 + (-j**3 + j**3 - 2*j**3)*(4 - 4 - j) as d*j**2 + b*j**3 + u + f*j**4 + g*j and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b**19*b)))**(-1)*(b**(2\/11))**(3\/8) assuming b is positive.\nAnswer: b**(-877\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + h - 3*h)*(177*h**2 - 200*h**2 + 103*h**2) + (0*h - 2*h + 3*h)*(2 + 0 - 1)*(0*h + 0*h - 17*h**2).\nAnswer: 63*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 518 and 16607968.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1359 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198 - 28*u**2 - 198.\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16117850?\nAnswer: 2, 5, 7, 46051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 - 44*u + 2280.\nAnswer: -4*(u - 19)*(u + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -15 + 18 - (1 + 36\/(-1)). What is the tens digit of d\/3*(-9 - -15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (17 - 11) + -9 + (9 - -1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -4 (b) 4 (c) 0.1 (d) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -146*r**2*s**5 - 273*r**2*s**2 - r*s**2 - s**6 wrt s.\nAnswer: -8760*r**2*s**2 - 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 10*v**2 + 2. Let a be x(10). Suppose 108 = a*l + 2*l. Suppose l = o + 2*o. Calculate the lowest common multiple of o and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 11, a: 1, x: 1, h: 6, r: 1}. What is prob of sequence ak?\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*c = -74*c - 87*c - 143 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*b + 63. Let o = -24 + -129. Let x = 157 + o. Solve 5*r + x*s = -5 - b, -3*s = -2*r - 16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2069595 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - (-5 - -9) - (-10 + 17)) + -31.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 373640 and 820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.08 + 5.08. Let g = -0.37 - 0.63. What is the closest to g in -3\/7, b, -0.2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**3\/5 - 4752*x**2\/5 - 4794*x\/5 + 19016 = 0?\nAnswer: -5, 4, 2377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 + 60. Which is the third biggest value? (a) u (b) 0.4 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5 - 1. Sort -2, t, -1 in descending order.\nAnswer: -1, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14c + 3?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 2 = -h - 5*g, h = -3*g. Let t be -8 + 4 + h - -1. Determine i, given that t*i + 0 + 1\/3*i**3 - 1\/3*i**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 47.\nAnswer: 7\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173550, 347142, 520734, 694326, 867918?\nAnswer: 1041510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 2\/15, 0.1, 463 in increasing order.\nAnswer: -2\/13, 0.1, 2\/15, 463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q - 321. Let t(r) = -45842*r**2. What is y(t(u))?\nAnswer: 183368*u**2 - 321","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301202 + 11023?\nAnswer: -230113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -90855210 to the nearest one million.\nAnswer: -91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1. Suppose -4*i + 12 = -i. Let s be -1 - (-9)\/6*2. Sort i, k, s in increasing order.\nAnswer: k, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01575 * -1\nAnswer: -0.01575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -10. Let n be ((-2)\/24)\/((-3)\/k). Which is smaller: n or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2631*k - 7891. What is w(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 3)*(2 - 1). Let r(t) = t**3 - t**2 - 1. Let k = 3 - 1. Let u(g) = g**k - 7*g**2 - 2 - 5 + 3*g**3. Calculate j*r(d) - u(d).\nAnswer: 2*d**3 + d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7*l**2 - 1 - 15*l**3.\nAnswer: -15*l**3 - 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.51 - -15.51. Let g = -1.4 + 12.4. Let s = d - g. Put s, 4\/7, 4 in descending order.\nAnswer: 4, s, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 403354995.4 to the nearest ten thousand.\nAnswer: 403350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -841, -840, -839, -838, -837, -836?\nAnswer: -835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d**2 + 32*d - 300. What is the tens digit of b(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**6\/1080 - h**5\/180 - h**4\/72 - h**3 - 18*h. Let q(r) be the second derivative of c(r). Find n such that q(n) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.18 - 0.38. Let r = u - 2.5. Let k = 40 + -40.3. What is the second smallest value in r, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*(j*j*j**(3\/2)\/j*j*j)\/j)\/j))\/j*j*j)\/j**(2\/9)*(j*j**(-13))**(1\/3) assuming j is positive.\nAnswer: j**(-103\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*o = -3, 20 = 4*x + 2*o - 4*o. Let q(b) be the second derivative of b**4\/12 - b**3\/6 - 53*b. What is q(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-32)\/(-12) + (-80)\/(-60). Solve 8 = j*g + o + 13, 5*o = -g - 25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10462, 9038, 7614, 6190?\nAnswer: 4766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 11. Suppose 4*m = -3*x + 32, -2*m - d*x + 18 = -x. Let l = m - -5. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p + 5. Let j(m) = -m. Let q(x) = 2*j(x) - u(x). Let f be q(-5). Solve 3*v = -2*v + f, 2*i = 2*v + 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 11:20 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19840 divided by -64.\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/12*20\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*((sqrt(51)\/sqrt(3) + sqrt(17))**2 + sqrt(17)).\nAnswer: 6*sqrt(17) + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-45)*-30*816\/544?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -15. Calculate the remainder when 446\/8 + (-3)\/4 is divided by (0\/3 + 1)*t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r = -31*r - 28. What is the nearest to -1\/4 in -0.4, r, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1881, -2, 26 in descending order.\nAnswer: 1881, 26, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -329221 divided by 329221?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 10) to base 16.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1098 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -7. Suppose 5*a = -l*x - 0*a + 10, x = -5*a + 10. Suppose -2*g + 4*g = x. Solve g = -4*j + 4*s, 2*j - 4 = -2*j + 3*s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 65*v**2 - 228*v - 6307. What is u(-67)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 28674, 1\/3 in descending order.\nAnswer: 28674, 4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2.7922+-5\nAnswer: -2.2078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -273 (b) -0.3 (c) 1\/8 (d) 3\/7 (e) 2\/5 (f) -1\/6 (g) -2\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 20. Calculate h(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**3 - v**3 + 0*v**3)*(0 - 2 - 2) - 5*v**3 - 3*v**3 + 3*v**3 + 5*v**3 - 4*v**3 + 0*v**3 in the form y + r*v + u*v**2 + a*v**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 12*q**2. Let m(w) be the second derivative of 11*w**3\/6 - w**2 + 2465*w. Calculate m(a(u)).\nAnswer: 132*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -8*c**2 - 3*c + 1. Let s be d(2). Let r = 51 + s. What is the greatest common divisor of r and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-30)*-9*2. Let b be (-2 - -4)*d\/6. Let f be 18 - 17 - b\/1. Solve 4*i - 20 = f, 0 = -2*n - n + 5*i - 25 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/3 + 46891645*l**2\/3 + 183235538715776*l + 183235523085228.\nAnswer: (l + 1)*(l + 23445822)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 13*v**3 + 2*v**2 + 2*v + 1. Let a be q(-1). Is 1\/(-2) + (-1746)\/a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.029 and 35?\nAnswer: 34.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177749 is divided by 88706?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -133*p**3 + 2*p - 1. Let c be q(1). What is the remainder when 46 is divided by (-3276)\/c - (-2)\/11?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39 + 32 + (-2)\/(-2))*1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*(-3)\/(((-39)\/(-21))\/(-13)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d + 4. Suppose 30 = 4*l + w, -3*l - 2*w = -0*w - 20. Suppose -32 - 34 = -6*k. Calculate the remainder when y(l) is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -5*g - 100, 547*y - 274*y - 268*y = g + 44 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 17\/(-40) - (-36)\/(-96). What is the nearest to r in -4, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2676 + -2652. Calculate the remainder when 548 is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 2*f - 19 = 29, -12*f - 44 = 3*m - 14*f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1745404, -1745401, -1745398, -1745395, -1745392?\nAnswer: -1745389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 192375 by 5.\nAnswer: 38475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -4 (c) -1 (d) 3 (e) -10\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14462, -28956, -43450?\n\"Answer: -14494*t + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -3*p**2 + 0*p**4 - 1\/10*p**5 + 0*p**3 + 0*p + 0. Let l(a) = 12*a**2. Calculate l(t(n)).\nAnswer: 432*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 43, -3 in increasing order.\nAnswer: -3, -1\/4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 - 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a kilometer in meters?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 97, 117, 155, 217?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e5a - -96?\nAnswer: -2db4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-756)\/63*(-2)\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d*f*x - 99*d*f + 38*d*w*x**2 + 80*d*w*x + 6*d*w + 2*f*w + 34*f wrt x.\nAnswer: -2*d*f + 76*d*w*x + 80*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-9)\/z*z))**(-4\/9)*z*z**20*z**17 assuming z is positive.\nAnswer: z**(302\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -650? (a) -0.05 (b) 2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 + 100. Suppose -o + 33 = 3*a, -o = 2*o - a - m. Solve -22 = -5*y - 4*p + 6, -5*p + o = 2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10380 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 19*o - 2. Let i(j) = -38*j + 5. Suppose -8258*k - 30 = -8264*k. Calculate k*z(p) + 2*i(p).\nAnswer: 19*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18913856 and 4953?\nAnswer: 56741568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 8:39 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-292)\/1314)\/((471\/6)\/((-9)\/2))?\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -92083.564 and 0.6.\nAnswer: -92082.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17653244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4396*i + 4396*i - 248*i**3.\nAnswer: -248*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - (sqrt(180) + -1 + -5 - sqrt(180)))*-4.\nAnswer: -24*sqrt(5) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -368982700 divided by -739?\nAnswer: 499300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 4*f + 9)*(-3*f - 3*f + 5*f) + 2*f**2 - f**2 - 3*f**2 + (5 + 0 - 4)*(-53*f**2 + 13*f**2 - 30*f**2) to the form k + q*f**2 + g*f and give q.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 51*j**2 + 49*j**2 - 2*j**2 - j**2. Calculate the remainder when t(-1) is divided by -29*(-3)\/3 + (-52)\/13.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 629, 2422, 5323, 9260, 14161, 19954?\nAnswer: 26567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*m + 163*m - 21 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1*sqrt(132) + sqrt(132))\/sqrt(12) + -2)**2 + (sqrt(77)*1*4)\/(sqrt(49)\/(sqrt(14)\/sqrt(2))).\nAnswer: 4*sqrt(11) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + -6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 20 + 6. List the prime factors of (z - -10) + (1 - -14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 u when four letters picked without replacement from xuuuuuuuxx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*p - 4*p + 4*p)*(-2*p + 2 - 2)*(-p + 0*p - p)*(-2*p - 3 + 3)*(34 - 33 - 26) in the form x*p**3 + k*p**2 + c + y*p**4 + r*p and give y.\nAnswer: 1200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 330\/73 < 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 10:17 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2935c (base 16) in base 9?\nAnswer: 276481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 + (607\/(-456) - 72\/54) and 25\/4.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -3*c - 10, -m = -6*c + 5*c - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ac8b7 (base 13) to base 12\nAnswer: 1314b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 3*m + 15, s + 3*s = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145036, 13, 0.\nAnswer: -145036, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 5*h**2 + h. Let a be r(-5). Let x = 2 + a. Let i = x + 6. Solve 5*j = -2 - i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (762746\/140)\/(31346\/(-28)). Let q = 2\/47019 - v. Find the common denominator of (-1286)\/60 + (-2)\/5 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/13? (a) -0.1 (b) -2 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73.685*9.\nAnswer: -663.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 363, 374, 393, 420, 455, 498?\n\"Answer: 4*i**2 - i + 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75)\/8)\/3*(-512)\/(-640)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -2. Suppose -192 + 542 = 5*c. Suppose -2*k + k + 80 = 5*b, 5*b = -3*k + c. Solve -l*q - 3*t - 11 = 2*t, 3*q - b = 2*t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 112120021?\nAnswer: 112120013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 157 - -4?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**5\/10 + y**3\/3 - 33*y - 1. Let w(r) = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(78) + -1*sqrt(78)))\/sqrt(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**6\/60 - t**5\/15 + t**4\/6 - t**3\/3 + 6*t**2. What is the tens digit of f(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzdn when four letters picked without replacement from {k: 1, s: 2, n: 1, d: 2, z: 1, c: 2}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, s: 4, v: 2, i: 1, o: 7}. What is prob of sequence si?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 60*m**3 + 322*m**2 - 324*m + 2. Let q be p(1). Solve 80*v - 40 = q*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**2\/2 - 537*s + 96123\/2 = 0. Calculate s.\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 253 = -w, 305 + 145 = 2*w - 4*d. Let p = w - 122. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 0 - 10. Let t(k) = 15*k**2 + k - 2. Let a be t(b). Suppose 19*g - 23*g = -a. Solve 5*d + g = 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.14 and 0.10684791.\nAnswer: -0.03315209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/36 and (545\/(-540) - -1)*-1*89?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -0.0302169.\nAnswer: -4.9697831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 22 (b) 10 (c) 1 (d) -344 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100333 - 0?\nAnswer: -100333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 674?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 111\/54)\/(-1). Let w = k - 4\/9. What is the nearest to w in 0, 1, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 1:23 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q - 2*q - 2*q)*(-4*q + 2*q + 3*q) + q**2 + 0*q**2 - 2*q**2 + (q + 10*q - 2*q)*(-5*q + q + 2*q)*(1 - 1 - 3).\nAnswer: 55*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f**3 - 10*f**2 + 52*f + 10. Let u(q) = q**3 - 3*q**2 + 17*q + 3. Calculate -10*u(n) + 3*v(n).\nAnswer: 2*n**3 - 14*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2259721 by -27.\nAnswer: -2259721\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 8*a**2 + 6*a + 133. Let c be g(25). What is c rounded to the nearest one hundred?\nAnswer: 10900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 4*m = -5*j - 8, -j - 5*m = -8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nndsdwsrrwssrrrrrnsw. What is prob of sequence sw?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 3*f**2 + 2*f + 5. Let z = -1346 - -1348. Determine d(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12654*a**2*u**3*z - 5*a**2*z**3 - a*u**2*z + 1574*a*z**2 + 2*u**3*z - 15*u*z**3 wrt a.\nAnswer: 25308*u**3*z - 10*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 5 + -9 + (-1 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + s - 1. Let k = -64 - -63. Let b(h) = h - 2*h - 3*h**2 + 4*h + 1 - h. Let i(p) = k*j(p) - b(p). Factor i(x).\nAnswer: x*(4*x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*f + 3 = -206*f + 3*z, -2*f - 3*z = 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18)\/(-36))\/((-2)\/(-476)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 232 and 5191.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 - 96. Let h be (g\/57 - 2\/3)\/(-1). Solve -7*v - h = -8*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 843 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1557, -5894, -13051, -23034, -35849, -51502, -69999?\nAnswer: -91346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 + 1163 - 1163.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1136460 and 6240?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33084 - 52745. Round j to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 8 = 4*b, -2*b = -b + m + 3. Let h be b\/2*(7 - -1). Suppose -6*y = -2*y - h. Put y, 5, 0 in ascending order.\nAnswer: 0, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/5)\/((-7637)\/(-16365))*(-14)\/39.\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 27\/2 of a millennium?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w. Suppose -h + 6 = 4*i, -5*h + 2 = -2*h - 4*i. Suppose 2*n - 4*x = 0, 2*n - h*x + 2 - 8 = 0. Let p(d) = -n*d - 1 - 2 + 3. Determine y(p(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344998244 to the power of 1\/2, to the nearest integer?\nAnswer: 36674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.032, 1\/2, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**3 + 24576*f**2 - 369844*f - 1872336 = 0.\nAnswer: -6159, -4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/20*256\/384\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 16*b + 5 = 0. Let p be 12\/(b - 5) - -6. Solve -4*z = -p*w - 25, z + 1 = -3*w - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/40*692\/519.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3389711 is divided by 21054.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-49))\/((-32)\/64).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, y: 1, t: 7, p: 3, a: 2, x: 2}. Give prob of picking 1 t, 2 a, and 1 e.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -20779.\nAnswer: -20779, -6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12, 10, 2, -12, -32?\n\"Answer: -3*a**2 + 7*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23 - -7e99?\nAnswer: 7e76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 18*z + 42. Let s be d(20). Suppose 0 = -5*q + s*k + 1305, 0 = -q + k - 40 + 298. What are the prime factors of q?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24412503 at most -24412503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, y: 9}. What is prob of picking 1 w and 2 y?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1601588176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 829 times -2781?\nAnswer: -2305449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 3*c**2 - 10*c + 28. Let j be q(4). Suppose 0 = 2*t + t, -3*y + 606 = j*t. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*h**2 - h + 16*h**2 - 2*h**3 + h.\nAnswer: -2*h**2*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*b + 20. Suppose 40 = 13*z - b*z. Do -1 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28706?\nAnswer: 2, 31, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 10*h - 2. Let d be j(9). Solve -d*f - 115 = -30*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*i - 7*i = 0. Solve -l + 1 = -2*z, z + l = -i*l - 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2037*d**2 - 2048*d**2 - 15 - 2048*d**2 + 15 + 8219*d**2 - 2060*d**2.\nAnswer: 26*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/276 and 97\/939888.\nAnswer: 21617424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -186 - -201. Suppose -k*z - 303160 = -26*z. What is z rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 19, -4, -5 in descending order.\nAnswer: 19, 2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3704.1+0.2092\nAnswer: -3703.8908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -23*k - 1. Give p(-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8103 is divided by 405?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70632 is divided by 1566?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.14772 and -0.2.\nAnswer: 1.94772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2048581*w. Let r(a) = -23*a**2. Determine r(h(q)).\nAnswer: -96523734611903*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 105*r - 29 - 102*r - 62*r**2 - 18 - 323*r**2 + 45 as q*r + t + m*r**2 and give m.\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) -6\/131 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 + 2*w**3 - w + 114*w**4 - 106*w**4 - 3*w**2 in the form o*w**4 + l*w**2 + c*w**3 + f + m*w and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*v - 147*v + 251*v**2 + 302*v + 6.\nAnswer: 251*v**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 412285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 + -51.72. Let p = -1.72 - z. Let n = 4.6 + -5. Which is the closest to -6\/11? (a) n (b) 0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2875?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 890, 1783, 2680, 3581, 4486, 5395, 6308?\n\"Answer: 2*c**2 + 887*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 896 is divided by 233?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (25\/20)\/((-2)\/(-8)). Let h be v + (1 - 4)\/3. Suppose 0 = h*f - 42 + 6. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1\/12)\/(l*l*l**8\/l*l))\/(l**(-8)*l**3*l))**(1\/24))**0 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -504466.48 - 0.3588.\nAnswer: -504466.8388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.011 - -2.211. Let w = -1.7 + d. Which is the third smallest value? (a) 0.17 (b) w (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106.2 + -106.19978379. Round j to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 73 = -0*p + 5*r, 5*r = 2*p + 1. Let h = -1.30862 + -0.69138. Let x = -0.5 - -0.4. Which is the nearest to x? (a) 5 (b) h (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 428 divided by 107\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2\/11 (b) 67 (c) 0.3 (d) 5 (e) 6\/11 (f) -15 (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + j + 12 = 30, 4*j - 8 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 83035 to the power of 1\/2, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 2*u - 5*z, u + 7 = -2*u - z. Let m = u + 7. Suppose 109 = 2*k + 5*g, -m*k = -0*k + g - 170. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-15))\/((-784)\/(-245)))\/(((-12)\/4)\/(-312))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 27 + 11 + -3 - 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 2)*(-1 + 1 + 2*p**3) - 5*p - 3*p**3 + 5*p + 1596*p**3 - 8796*p**2 + 8796*p**2.\nAnswer: 1595*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**2 - 36 + 359*k**3 + 34 - 2*k + 114*k**3 + (3*k**2 + 2*k - 2*k)*(-2*k - 3*k + 3*k) as p*k**2 + y*k**3 + h*k + r and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3333761, 3333760, 3333761, 3333764, 3333769, 3333776, 3333785?\n\"Answer: d**2 - 4*d + 3333764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1671979 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-129)\/27 - 6\/27. Suppose -4*y - 8 = 2*u, 5*u = 3*y + 7 + 25. Put 5, j, u in descending order.\nAnswer: 5, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2604664 (base 8) to base 10.\nAnswer: -723380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1827 = -23*g - 1666 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-75)\/(-6) + 3\/(-6). Suppose -2*p - k = 2*p. Let x be 84*(-1)\/6*p. What is the highest common divisor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**3 - g**4 - 558*g - 43*g**2 - 252*g - 29*g**2 + 0*g**3 - 3248*g wrt g.\nAnswer: -12*g**2 + 24*g - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or -12893?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*v + 14*v + 3 - 14*v)*(-10*v**3 + 0*v**3 - 4*v**3) + (-3*v**3 + 4*v**3 + 0*v**3)*(-3*v + 3*v + v) - 2*v**4 - 6*v**3 + 6*v**3.\nAnswer: -127*v**4 - 42*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -4\/35, 6, 5, -1\/3, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**0*l))**(-2\/11)*(l*l\/(l*((l*l**(-3\/7))\/l)\/l))\/l*l*l**(-1\/3)*(l**2\/l)\/(l*l\/l**(1\/11))*(l**0)**(2\/163) assuming l is positive.\nAnswer: l**(274\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + a + 2. Let p(s) be the second derivative of -s**4\/4 + 5*s**3\/6 + 9*s**2\/2 - 6*s. What is 9*o(q) - 2*p(q)?\nAnswer: -3*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcu when three letters picked without replacement from hcixhcul.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*(sqrt(1100) + 5*((-1 + sqrt(1100) - sqrt(1100)) + sqrt(1100) + sqrt(1100)))**2 + ((-6*-1*sqrt(132))\/(sqrt(108)\/sqrt(4)))**2.\nAnswer: -532324 + 4400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 5. Suppose 3*b = -5*c - b - 117158, i*c - b = -46871. Let x = -11434 - c. Round x to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1\/(651\/(-327) + 2) and 3?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 58*n**2 - 354*n - 116. Let k be a(51). Let g(i) be the first derivative of -3*i**2 + 3\/4*i**4 - i**3 + 0*i + k. Factor g(z).\nAnswer: 3*z*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*z - 7*z**2 - 65*z - 10*z**2 + 19*z**2 - 5*z**2.\nAnswer: -3*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268813411.\nAnswer: 349, 770239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j - 17 = -6*v + 9*v - 2*v, -46*j - 28 = 5*v - 43*j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 1\/6, 17\/3, -1\/260, -2\/3?\nAnswer: -1\/260","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 69*i + 185. Let c = -633 - -648. What is the tens digit of w(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104289 bigger than 104291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 5, 1\/2, -53, -3\/5 in decreasing order.\nAnswer: 5, 1\/2, -0.2, -3\/5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 1. Let j(g) be the first derivative of -g**2\/2 + 4*g - 4. What is -j(a) + 2*w(a)?\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4003901 is divided by 356.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -102.952 and -0.08.\nAnswer: 8.23616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 + 2*k**4 - k**4)*(-43*k - 46*k + 99*k).\nAnswer: 20*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 3*z**3 + 8*z**2 - 248*z + 6. Give x(-4).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13, -43, -93, -169, -277?\n\"Answer: -x**3 - 4*x**2 - 11*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 16. Let o(t) = -t - 2. Let v(k) = 4*o(k) + s(k). Let d(u) = -2*u**2. What is d(v(q))?\nAnswer: -50*q**2 + 160*q - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvh when three letters picked without replacement from hvkh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4086192 and 187440?\nAnswer: 20430960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*w - 8*w**3 + 0*w - 3*w)*(-5 + 0 - 4) to g*w**3 + n*w + j*w**2 + b and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5608087.\nAnswer: 47, 119321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-five halves of a microgram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k + 4 - 4 + k + 3*k - 5*k + (-5 + 2 + 2)*(3*k - 4*k + 2*k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 85*b + 83*b - 119 = 0, -4*b - 48 = 0. Calculate the lowest common multiple of 106\/10 + 4\/10 and l.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7228 - -3?\nAnswer: -7225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 - 8?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (135\/(-36))\/5*2\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(128) - sqrt(8)) + -1*sqrt(75).\nAnswer: -14*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1957109? (a) -1\/2 (b) -1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y**(2\/27))*y*y*y**(-19)*y*y assuming y is positive.\nAnswer: y**(-407\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 4\/4 - 4. Let r = -0.3 - -0.2. Which is the nearest to -2\/7? (a) g (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 219 + -441. Let y = -219 - r. Solve b - 13 = 4*q, 0 = y*q + b - 5*b + 13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2327045 and 35615.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1.9 (b) -2.26 (c) 0 (d) 2 (e) 4 (f) 2640\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3518*y - 494*y - 3027*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133 - -139. Let j(u) = -5*u - 11. Let r(d) = 2*d + 4. Let s(l) = 3*j(l) + 8*r(l). Let c be s(3). Solve 0 = -b + c - g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 294775 and 2925?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, e: 3, n: 2, v: 5}. Give prob of sequence vv.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30242 - 0?\nAnswer: 30242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -26808?\nAnswer: 26804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t - 836 = -776 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -444*g**2 - 2*g + 315.\nAnswer: -888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -4*m**3\/3 - m**2\/2 + 22*m. Let h(y) = -y + 13. Let s be h(10). Suppose 0*w - s = -3*w. Calculate l(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*b + 78*b + 36*b.\nAnswer: 83*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*t - 436*t = 1720 + 13256 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (24\/(-9))\/((-1)\/15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2 = -3*c, z - 8 = -4*c. Let q(j) be the first derivative of -1\/10*j**4 + 1\/5*j**2 + 2 + 0*j + z*j**3. Factor q(i).\nAnswer: -2*i*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.16664 millilitres in litres?\nAnswer: 0.03716664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from {a: 1, w: 1, b: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-16)\/6))\/(228\/1216)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*s**4 + 194*s + 318 + 6*s**4 - 313 + 2*s**2 as l*s + c*s**2 + q*s**3 + k + p*s**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.135366 + -53.\nAnswer: -52.864634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*h**2 + 3*h**3 + 156*h**4 + 13*h**3 - 164*h**4 + 3*h**3 - h**5.\nAnswer: -h**2*(h - 1)**2*(h + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 2:52 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v + 2. Let f(c) be the second derivative of c**3\/3 - c**2\/2 - 5*c + 6. Give -6*d(g) - 11*f(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**2 - 9916*f + 72194760 = 0.\nAnswer: -5665, 3186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6))\/((574\/84)\/41)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2301 + -133444130?\nAnswer: -134001431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295083 is divided by 610?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 - 4)*(-8*w + 11*w - 2*w - 3)*(2*w - 2*w + 2*w).\nAnswer: -16*w**2 + 48*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**2 - 4*f**3 + 0*f**3 + 6*f**3)*(0 + f**2 + 0).\nAnswer: 2*f**5 + 5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, z: 4, r: 1, k: 1, l: 1}. Give prob of sequence lz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -2 (c) 1\/5 (d) -96 (e) 1 (f) 0.4 (g) 10\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*r - 1044 = 362, 5*j + 2*r = -7102. Let s be (-10159)\/(-5) + (-3)\/(-15). Let d = j + s. Round d to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90651 + 139235. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(3\/9)\/(28\/(-126))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 6*q + 3. Give d(5).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 482\/444 + (-18)\/108 and 101\/4.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55.26 + -53.26. What is the nearest to 0.2 in -0.3, 1\/2, -4\/5, r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776 is divided by 729.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b - 6 = -18*b. Suppose 3*u - b*v - 1511 = 46, 3*v + 2594 = 5*u. Suppose u = -n + 7. What is n rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 249236247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1775 and 56720267.\nAnswer: 1418006675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -483*g + 1457*g - 493*g - 485*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*t**2 + 50*t - 55*t**2 - 10*t - 40*t.\nAnswer: -29*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r - 6. Let n be m(-4). Let t(y) = y**3 - 6*y**2 + y - 3. Determine t(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/8530591 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drpp when four letters picked without replacement from {p: 3, r: 1, d: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 524031*i + 8384501. Calculate f(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4\/5 - 288*h**3\/5 + 6624*h**2\/5 - 10368*h + 25920.\nAnswer: 4*(h - 30)**2*(h - 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -5 + -10 - -7 - (-14 + -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*b**2\/17 - 15854*b\/17 - 3174\/17 = 0.\nAnswer: -1\/5, 1587\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3866756 and 960?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 11. Suppose 5*r + 45 = -4*n, -139*n + 143*n - 4*r = 0. Sort 3, q, n, 2.\nAnswer: n, q, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -126740 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 11:41 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3331536 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z + 2*z - z - 4 + 3*z. Let m be c(8). Solve -6*g + g = -25, o + m*g - 16 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 2:37 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.26 (b) -4 (c) 5 (d) 9 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9216763 a multiple of 1136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24358085?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 564042?\nAnswer: 2, 3, 94007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0*k - k)*(11 - 8*k**2 - 11) - k**3 + 0*k + 0*k.\nAnswer: 15*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609754 is divided by 21776?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.432 and -0.2?\nAnswer: 3.232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-49)*(-91)\/481?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-48))\/((-55)\/836)*15\/2.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tiicliiiictutcl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 8*l**2 + 2*l + 1. Let w be f(-2). Let k = w - 9. Let z(p) = p**2 + 100*p + 2063. Let o be z(-29). Solve o*m - 45 = -5*t, t - 5*m + k = -0*m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3289 + 3087. Is -0.2 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(30) - sqrt(150)\/sqrt(5))*2)\/sqrt(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 4:07 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -111411044 (base 5) to base 6\nAnswer: -14355533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r. Let v(j) = -8 - 11*j**2 - 8*j + 4*j**2 - 7*j**2. Suppose 19*b - 8 = 18*b. Let k(c) = 5*c**2 + 3*c + 3. Let y(s) = b*k(s) + 3*v(s). Give y(x(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/7 = -122027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140824.\nAnswer: 2, 29, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**4\/8 + 5*z**3\/12 - z**2\/2 + 5*z. Find n, given that o(n) = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.052856 rounded to one dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -950, -3, -4 in ascending order.\nAnswer: -950, -6, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28614 and 3456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 10. Suppose 0 = q + h - 8, q + 2*h - 5 = -2*h. Suppose 0 = d - q - w. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -154 - -154. Suppose -2*z - 6*z + 256 = u. Calculate the greatest common divisor of z and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9388, 85, 9558?\n\"Answer: 9473*k - 18861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 3*y + 2. Let a(o) = 2*o**2 - 2*o + 1. Let r(f) = 3*a(f) - 2*j(f). Give r(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 4)\/(1\/(-40)). Suppose 5*m + 3*x - 11 = 0, 0*m - 4*m = x - 13. Suppose -m*y - y + d = 0. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1768*g - 241*g + 2023*g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -2\/3*p**3 - p**2 + 1\/15*p**6 + 0 + 0*p**4 + 3*p + 1\/5*p**5. Solve z(s) = 0 for s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**4 + 3*t**3 + 15*t**2 - 19*t - 30 = 0?\nAnswer: -3, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13273*d + 728 = 13221*d for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*(s**(-2\/11)\/s)\/s)**(-20)\/((s\/(((s\/s**(-1\/4)*s)\/s)\/s))\/s)**(-7\/13))**(-45) assuming s is positive.\nAnswer: s**(-90135\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -17440 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 464713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 5*r**2 - 5*r - 1. Let h be n(6). Suppose 2*c = h*c - 165. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -31c87?\nAnswer: -31c8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**4 - 600*a**3*d + a**2*d - a*d - 2713 wrt a.\nAnswer: 24*a - 3600*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**4\/3 - 20*d**3 - 713*d**2\/3 + 258*d = 0?\nAnswer: -43, -18, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 62 = -5*s, -5*i - s - 83 = -215. What is the remainder when 820 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 9:52 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1071 + -1061. Suppose 5*q - 3*j - 596 = 0, q - 5*j - 364 = -2*q. What is the remainder when q is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 3*v - 43. Let a(g) = g**2 + g - 8. Let b(z) = 6*a(z) - d(z). Let n = 45 - 78. Let h be 14\/(-3) + (-22)\/n. Determine b(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + v**2 - v**2)*(-3 + 1 + 1) + 4 - 4 - 2*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v + 10. Let n be k(2). Let f be n + (-3)\/(42\/32). What is the nearest to 1 in f, -4\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 1)*(2*v + v - v) + 3*v - 9 + 9 + 73 - 73 - v - v - 2*v + v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 70\/21*6\/(-5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -9*o**2 - o + 3. Let d(h) = -96*h**2 + 32*h**2 + 35*h**2 - 4 + h + 39*h**2. Determine 5*d(k) + 6*r(k).\nAnswer: -4*k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.15923 to 1 decimal place.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.11, 0.27, -5, -4\/3 in descending order.\nAnswer: 0.27, 0, -0.11, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 - 389296*v.\nAnswer: 4*v*(v - 97324)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k**3 - 14*k**2 - 8*k + 7. Let c(s) be the second derivative of s**5\/20 + s**4\/12 + 16*s. Let u(n) = -4*c(n) - x(n). Give u(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36855477350 take away -10.8?\nAnswer: -36855477339.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 + i**2 + 0*i**2 + (4 + 0 - 2)*(4*i**2 + 3*i**2 - 5*i**2) + i**2 - 9*i**2 - 3*i**2 - 2*i**2 + 3*i**2 + i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423986 + 155084 + 126300 + w**2.\nAnswer: w**2 + 705370","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 + 153*d + 637. What is p(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1216\/57*6)\/(21\/(-63)*-6)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 300\/(-180)*18\/(-20).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 6 (b) -1 (c) 20\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 949217651 to the nearest integer?\nAnswer: 30809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 7 = 3*h - 6, 1 = 4*h + 3*d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3*d = 37 - 26, -4*d = -t + 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47765*l**4 - l**3 + 4012483*l.\nAnswer: -573180*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1451.6867 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-10))**(2\/57) assuming z is positive.\nAnswer: z**(-20\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yaykuyihkkahhuiy. Give prob of sequence ka.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 542944273 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 12:10 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((-1*sqrt(1300))**2 - -5*(sqrt(156)\/(sqrt(24)\/sqrt(2)))**2) + -5).\nAnswer: -4080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -44, -68, -90, -104, -104, -84, -38?\n\"Answer: b**3 - 5*b**2 - 16*b - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.105 + -52.895. Let d = z + 52.99999885. Round d to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, q: 5, i: 3, o: 2}. What is prob of sequence iioi?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 3:42 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4 + 67*r**3 - 7*r**2 - 463*r + 402 = 0.\nAnswer: -67, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuuiiziuuii. Give prob of picking 3 i.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**1\/m)\/(((((m**(-4)*m)\/m*m)\/m)\/m*m)\/m))\/((m*m**2)\/((m*m*m\/(m\/(m*m\/(m**(3\/7)\/m))))\/m))*((m*m**(3\/8)*m)\/m**(3\/4))**(-1\/30) assuming m is positive.\nAnswer: m**(10949\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25486229 and 6364.\nAnswer: 1591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 324.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-9)*((-108)\/(-8))\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 11 = -13*n - 5*m, -167*m = 4*n - 170*m + 22 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -7. Suppose -r*z - 4*u + 56 = 0, 0 = 2*z + 5*u - 0*u - 13. Suppose -16 = 4*h, 1 - z = -2*q - 4*h. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**2 + 15*p - 10. Let h be x(-10). What is h rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6*c. Let s be a(-3). Let g = 32 - s. Suppose 5*z = u - 48, -u - g = -2*z - 50. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9*(3 + (-40)\/12). Let a(o) = 2*o + 0*o + 3*o + i*o. Let s(k) = 2*k**2. What is a(s(n))?\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*u**3 - 3*u**2 + 6*u**2 - 4*u**4 + 5*u**4 + 13*u**3 - u in the form g*u + d + a*u**4 + k*u**2 + w*u**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmmj when four letters picked without replacement from {c: 7, j: 2, m: 3}?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**3\/9 + 1556*r**2\/3 - 1868*r\/9 = 0. Calculate r.\nAnswer: -934, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 55712195683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1.4. Let f = o + -2.4. Let g be 5 + -1 + 2 + -6. Which is the second smallest value? (a) -2\/11 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.565 - 0.065. Let q = y + -15. Which is the third biggest value? (a) -1 (b) -12 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 10*s**2 - 3*s + 4. Let r(t) = t - 1. Let k(p) = m(p) - r(p). Give k(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from czqcczqczzczc.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 174603\/19 or 0.1?\nAnswer: 174603\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*v**3 - 7*v**3 + 75*v**3 - 2*v**2.\nAnswer: 100*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = 2*y + 4*c, y = 6*y + 5*c + 465. Let i = y + 92. Let t be ((-10)\/(-6) + -1)*(i - -104). Calculate the highest common factor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 4:20 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k - 6. Let i be o(4). Let x be 1\/(i*(-5)\/(-40)). Solve y + x*h = -5, -y = -5*y - 2*h - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 317183, 317175, 317157, 317123, 317067, 316983, 316865, 316707?\n\"Answer: -r**3 + r**2 - 4*r + 317187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -167\/1378 + 10381601\/20670. Let n = u + -502. Factor 24\/5 + 8\/5*p + n*p**2.\nAnswer: 2*(p + 6)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 + -68.04. Let z = -73\/20 + 22\/5. Which is smaller: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21966 by -3.\nAnswer: -7322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -7.4 (b) 1 (c) 0 (d) -1 (e) -1\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 11. Let n(u) = 5*u**3 + 13*u**3 + u**2 - 5*u**2 - 19*u**3 + 5*u. Give n(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 160 + -160.124. Let d = -2.124 - v. Sort 4\/11, d, -3 in increasing order.\nAnswer: -3, d, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203323030210 (base 4) to base 10.\nAnswer: -9417508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16042?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (9 - (25 - 11)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -13) + (-1 - -9) - -1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6366 - 6444.71. Let h = -74.5 - b. Let d = h - 2. What is d rounded to 1 dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 6*b + 3. Let f(t) = t**2 - 6*t + 3. Calculate -5*f(h) + 4*l(h).\nAnswer: -h**2 + 6*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*h = -4*l + 19, -l + 7 = -h. Suppose -l*s = -17 - 79. Suppose n + 695 = 5*y - s, 590 = 4*y - 3*n. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 + 14. Let l = q - -74. What are the prime factors of l?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 a factor of 2249408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02417, 4\/7, -11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/4*-2)\/2)\/((-15870)\/920)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1270922, -5083730, -11438410, -20334962, -31773386, -45753682?\n\"Answer: -1270936*c**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**10\/r**8)\/(r**21*r)**11)**(-12\/11) assuming r is positive.\nAnswer: r**(2880\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4205?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -1422*q**2 + 22*q - 97. Let l(a) = -1423*a**2 + 24*a - 97. Let m(i) = -8*k(i) + 7*l(i). Find the second derivative of m(r) wrt r.\nAnswer: 2830","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*u = 0. Suppose -3*m + u*m - 8 = 4*y, y = -2*m - 7. Calculate the common denominator of 49\/20 and 7\/10 + -2*y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2574 = -277215*z + 277017*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4 + t + 4*t - t. Let i(n) = n**3 + 36*n**2 + 303*n + 86. Let k be i(-23). What is s(k)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1646304611?\nAnswer: 7, 41, 397, 14449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 + -38. Is h greater than or equal to 1\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4160, -8132, -11964, -15656, -19208, -22620?\nAnswer: -25892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 30*j**2 - 2. Let m(s) = 563 + 5*s - 563 - 7*s. What is m(q(b))?\nAnswer: -60*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 5*j**7\/42 - 17*j**6\/24 + 4*j**5\/3 - 5*j**4\/6 + 22*j**2. Solve w(a) = 0 for a.\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 3*u - 22. Let f = 451 - 444. Give y(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15442 < 2291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-20)*n*n\/n**(1\/2)*n assuming n is positive.\nAnswer: n**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/(-12))\/((-4)\/6). Let s be j\/(-10)*(-5)\/4. Let z(f) = -5*f + 77. Let m be z(16). Which is the nearest to s? (a) -4 (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3459, 3453, 3445, 3435, 3423, 3409?\nAnswer: 3393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1401 (base 6) in base 13?\nAnswer: 21a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 67*c**4 + 2*c**2 - 67*c**4 + c**5 - 6*c**5 + 3*c**5 + 2*c**5 + (4*c**2 - 4*c**2 + 2*c**4)*(c - c + c) - 4*c**5 + c**5 - 2*c**5.\nAnswer: -3*c**5 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35393, -35395, -35397?\nAnswer: -35399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 11:21 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2822 minus -0.57?\nAnswer: -2821.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 178 and 135442069.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = 2*f + 1608. Is -2\/5 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43854 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272637 is divided by 136315?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1044 = 5*q - 3*l, -q + 187 + 29 = -3*l. Put 4, 2, q in ascending order.\nAnswer: 2, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**5 - 29595*w**4 - 678500*w**3 - 2709900*w**2 + 13323280*w - 9905280 = 0. Calculate w.\nAnswer: -5896, -14, -12, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 22627108.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -4 (b) 0.1 (c) 1 (d) -2\/11 (e) 4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -277365522*k**2*n**2 - 209*k**2 - 1346564*k*n + 2*k wrt n.\nAnswer: -554731044*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k - 1. Let t(s) = 12*s + 2. Give -2*t(r) - 7*x(r).\nAnswer: 4*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -180*b*v**3 - 33*b*v**2 + 171903*b - 54569*v**4 + 1 wrt v?\nAnswer: -1080*b - 1309656*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*g**2 - 2*g - 7*g**2 - 2*g**4 - g**3 - 16*g**2 - 3 - 17*g**2 to k*g**4 + l + f*g**2 + p*g + h*g**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36)\/30 + 199584\/120 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59652860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/353 or 1?\nAnswer: -2\/353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2747755215024999 - 3*t - 2747755215024999.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 213.2945434 rounded to two decimal places?\nAnswer: 213.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/2 - (74 + 1). Suppose 5*i = 67 + 628. Let z = i + g. Round z to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + l - 99, 0*a + 2*l + 26 = a. Suppose a*s - 472 = 40. Calculate the remainder when 1245 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46137.23 rounded to the nearest ten?\nAnswer: -46140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 114.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2. Let n(t) = -3*t**2 + 2403*t - 4. Determine n(d(x)).\nAnswer: -3*x**4 - 2403*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440124 = -11*l + 440157, -2*f + 3*l = 27 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 13a?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 535051, 535059, 535069, 535081?\n\"Answer: x**2 + 5*x + 535045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2625842513 to the power of 1\/4, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 697433, 697591, 697749, 697907, 698065?\nAnswer: 698223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3007, 5918, 8819, 11704, 14567, 17402, 20203?\nAnswer: 22964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 27 in descending order.\nAnswer: 27, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3551107 divided by -6?\nAnswer: 3551107\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -6*j - 39. Let s(d) = -d**2 - 4*d + 3. Let v be s(3). Let o be a(v). Let x = -44 + o. Solve 6*l - l = x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13022 + 13017. What is the closest to -5 in v, -0.4, 0.15, 3\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/648)\/(((-5)\/(-6))\/(-1))*33?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 8:06 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28088, 28119, 28166, 28229, 28308?\nAnswer: 28403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 52512880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 20 - 10. Let c(f) = f**3 - 3*f**2 + 6. Let y be c(p). Suppose 2 = -y*j + 12. Solve 0 = 2*a - j*k - 10, -4*k = -3*a - 9*k - 35 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 9:51 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 3)*3*1. Let v(r) be the first derivative of -r**4\/4 + 2*r**3\/3 + 7*r**2\/2 - 2*r + 229. Calculate the lowest common multiple of 10 and v(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/((g*g*g\/g**12*g*g*g)\/g)))**(-47) assuming g is positive.\nAnswer: g**282","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (464\/(-32) + 12)\/(1\/(-1))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -5*z + 8, 6*z + 3*o = 5*z - 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1451\/10 - -145. Let d(z) = -4*z + 23. Let m be d(6). Which is smaller: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -17*r + 2. Suppose 0*i - 4*l - 5 = -i, 0 = i + 2*l + 7. Let o be g(i). Calculate the greatest common factor of 53 and o.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 2. Let p be r(0). Suppose 0 = -p*y + y + 4*y. Which is smaller: -3\/14 or y?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3, 0.5, 62.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/55584 and 95\/1272?\nAnswer: 2945952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -78*v + 29. Let j be s(-4). Let n = j - -249. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1862)*-2*-2)\/(sqrt(12)\/((sqrt(6)*1 + sqrt(6) - sqrt(6))*5)) + -4)*3)**2.\nAnswer: -10080*sqrt(19) + 3351744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - y + 3*y)*(-11*y**2 + 2134*y - 2134*y).\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2233 (base 4) to base 7.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 3:26 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-40)*((-6)\/5)\/(-3).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-1\/4)\/f))**(-36)*f**(-3\/2)\/f*f*f**(-3\/2)*f)\/(f**(-2\/3)*f**1*f*f\/(f\/(f*f*f**(-7)))*f*f*f*f**(3\/2)) assuming f is positive.\nAnswer: f**(-503\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a*r**3 - 109*a*r + 114*a + 223180*r**3 wrt a.\nAnswer: r**3 - 109*r + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 8 and -17\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y - 37*k = -35*k - 17, -5*k - 28 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3154*b**3 + 0 + 5.\nAnswer: -3154*b**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -1\/388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -16, 0, -1, 222, 12 in decreasing order.\nAnswer: 222, 12, 1, 0, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 497\/8 - 62. What is the closest to -1 in -1, g, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 1740.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*m + 10*m + 1700 = 0. Solve 0 = 5*b + 20, 3*u = -4*b - m + 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7237*n**3 - 5324*n**3 - 16299*n**3 + 5320*n**3 - 16391*n**3.\nAnswer: -39931*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 342 and 1261296.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 48\/10 - (-3)\/15. Let r = -1038 - -1057. Solve -k*j - 4 = -r for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-7 + 6 + -1 - (5 + 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*55626.029\nAnswer: 5562.6029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {c: 7, m: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - 6*(sqrt(77) + sqrt(77)*-4 - sqrt(77)))\/(-5*sqrt(14)\/sqrt(2)))**2*-2*3.\nAnswer: -1650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/(p*p**(3\/5)*p)*p)\/p)**(-3\/8)*p**(-34)*p*(p\/(((p*(p\/(p*p**17\/p)*p)\/p)\/p)\/p))\/p assuming p is positive.\nAnswer: p**(-631\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 3:25 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*w**2\/6 + 818248*w\/3 + 11691400.\nAnswer: -(w - 233828)*(7*w + 300)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/2 - 13*w**3\/2 + 33*w**2\/2 - 31*w\/2 + 5.\nAnswer: (w - 10)*(w - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000125885 rounded to 6 dps?\nAnswer: 0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-13 + 6)) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.6404 and -899086.\nAnswer: -899086.6404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 82509 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 5 = 37. Let l(w) = -24468 + c*w + 24468. Let s(y) = 12*y**2. Calculate l(s(z)).\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 - 4*x**2 + 3*x**2 + 5*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(((b**(1\/3)\/b)\/b*b)\/b)*b*b*(b*b**(-2\/3))\/b*b*b)**(2\/33)*(b**(-6)\/(b*b**2))\/((b*b\/b**2*b)\/(b**(1\/5)\/b)) assuming b is positive.\nAnswer: b**(-574\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15621 + 15559. Which is the closest to f? (a) -5 (b) 1\/2 (c) -2\/7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.323 - 0.35. Let q = 713 - 712.573. Let v = x + q. Sort v, -4, -2, -1\/4.\nAnswer: -4, -2, -1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -1 + -1 + 0. Let m be (b + 3)\/((-1)\/(-5)). Let x(q) = -q + 4. Let z be x(8). Put 3, m, z in decreasing order.\nAnswer: m, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + -1 + sqrt(175).\nAnswer: -5 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17348 - 17177. Solve -4*y - v = -163 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3088 and 9457.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -373399*n**2 - 1423380 wrt n.\nAnswer: -746798*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 4*v**4 + 5*v**2\/2 - 8*v - 32. What are the prime factors of y(2)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + 6*(sqrt(468)*-1 - sqrt(468)))**2*-1*-6.\nAnswer: 1728*sqrt(13) + 404376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*y + 72, -y + 5*b - 3 = -0*y. Let a(o) = -357*o - 16. Let z be a(y). What is z rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 5013 + 5004 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 14*s - 95. Suppose -4*q - 3*u = u + 12, 5 = -3*q - 2*u. Calculate the lowest common multiple of y(7) and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 6 = -2*u. Suppose -13 = u*c + 14. Let r be 65\/c + (-2)\/(-9). Which is bigger: -5 or r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 168563*m**3 - 197*m**2 + 2*m + 252.\nAnswer: 1011378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 723 and 33017?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -30909.\nAnswer: -61818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -6*(-39)\/(-91)*14?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 21. Let l = 95 - 473\/5. What is the second smallest value in m, l, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 221\/1882?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4228*r - 4220*r - 66*r**3 - 1 + 8442*r to the form d*r + k + z*r**2 + l*r**3 and give l.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-108)\/63)\/(2\/(-7)). Let g(c) = -10*c + 10*c - y*c**2. Let h(o) = -4*o**2. Calculate g(h(p)).\nAnswer: -96*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 894 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -529 + 531. What is the nearest to -1 in -1\/4, -1.6, 1\/7, d?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**3\/6 - 2*r. Let h(y) = -221*y - 242*y + 447*y. Calculate 2*h(p) - 28*w(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmjj when four letters picked without replacement from jmjjjmmjjmfjjjjjmjjj?\nAnswer: 91\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*n = 93*n - 420. What is the least common multiple of (-180)\/(-210)*(-3)\/(6\/(-14)) and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440 = 21*f - 216 - 224. Solve 8*o + 233 - 257 = f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 10:10 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3398 = -11548. Let q = k + 2501. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 41 = 30*l + 15*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 32385, 45968, 59551, 73134, 86717?\n\"Answer: 13583*h + 18802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 52\/5?\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 119974313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u + 0*u - 19*u)*(-2 + 1 + 2 + (0 - 2 - 1)*(-6 + 0 - 5))*(-4 + u + 4) - 12*u**2 - 24*u**2 - 8*u**2 to the form j + l*u**2 + v*u and give l.\nAnswer: -656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 6 - 14. Suppose -x - j + 36 = 0, 3*j = s*x + j - 138. What is the remainder when x is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 63659 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 181*g**4 - 2*g**3 + 3*g**2 + 35*g + 1150047?\nAnswer: 724*g**3 - 6*g**2 + 6*g + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2583 - -2.7397. Let n = -0.02 + 3.02. Let w = n - x. Round w to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s - 154. Let d be f(26). Let t(p) = -19*p + 8. Let i(l) = 5*l - 2. Let x(v) = 9*i(v) + 2*t(v). Let n(o) = -8*o + 2. What is d*n(r) + 3*x(r)?\nAnswer: 5*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25b - 89?\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 3, -10, -3, -5.\nAnswer: -10, -5, -3, 3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**2*z**3 + 14*o**2*z - 2*o**2 - 745*o*z**4 + 3*o*z**2 + o*z wrt z.\nAnswer: 6*o**2*z - 8940*o*z**2 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27748*z**2 - 55398*z**2 + 27621*z**2 + 5*z.\nAnswer: -29*z**2 + 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.44816 hours to nanoseconds.\nAnswer: 300413376000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298138 is divided by 443.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 44 = 194. Let w = -72 + b. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**7\/560 + 67*h**6\/320 + 21*h**5\/16 + h**4\/16 - 35*h**3\/2 - 3*h**2 + 38*h. Solve y(m) = 0.\nAnswer: -2, 1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 237391*z - 237383*z + x, x = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - -1)*(0 + 7\/4). Let y = -44 - -23. Let o = 18 + y. Which is the nearest to o? (a) -2 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**5\/60 + 35*a**4\/6 - 139*a**3\/6 - 8*a**2 - 2*a - 81. Factor h(l).\nAnswer: -(l - 139)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 2. Let x be w(6). Let q be (-2)\/x - 30\/(-8). Does 8 divide 12*(0 - q\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 22*y**3 + 258*y - 6. Let r(g) = 4*g**3 + g - 1. Determine -j(k) + 5*r(k).\nAnswer: -2*k**3 - 253*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 8:17 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(6\/11)*b**3)\/(b**(5\/6)\/b*b**7\/b*b) assuming b is positive.\nAnswer: b**(-217\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78559461?\nAnswer: 3, 73, 109, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 15. Let l(r) = 55*r - 18 - 108*r - n + 48*r. Let f be l(-6). Solve -3*c = p + 10, -5 - 8 = 4*p + f*c for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 260600 to the nearest ten thousand.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 5*n**3 + 19400*n**2 + 18856740*n + 75116880 = 0.\nAnswer: -1938, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k - 13. Let c(o) = -3*o - 38. Let d(z) = -6*c(z) + 17*j(z). Calculate d(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 1928.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15662 (base 9) to base 8.\nAnswer: -24774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 - 57*y**2 - 270*y.\nAnswer: -3*y*(y + 9)*(y + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2314 + -1646. Suppose w = -3*w + h. Suppose -5*r + 3 + w = 0. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**6\/27 - 4*f**5\/45 + f**4\/6 + 16*f**3\/27 + 4*f**2\/9 + 9. Solve n(l) = 0 for l.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -92*y**4 + 3*y*z - 10*z - 184 wrt y?\nAnswer: -368*y**3 + 3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 50\/3, 1\/7, -0.2, -1\/8?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 14*a**2 + a + 1. Give r(-14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 9 = 5*m - 4*h, 4*h + 12 = 3*m. Let c be (-2)\/14*2\/(-5). Is m smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 1 - 2)*(-8*n - 2 + 0 + 0).\nAnswer: -64*n - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + 32. Suppose 2 = -3*o + q. What is the highest common divisor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/5, -0.33, 4, 10.44, 3?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from paptatactaksssssst?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 23 + -17 - (-12 - -1)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 3 - (5 + -1 + -10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 3*b - 2*x = -0*b + 18, -13 = -b + 5*x for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*(-3*sqrt(77))\/sqrt(7) + 0)**2.\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -202858*t - 6. Let j(s) = s + 1. Let o be j(-8). Let y be w(o). Round y to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ncz when three letters picked without replacement from {x: 2, f: 3, c: 3, z: 1, r: 1, n: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3393, -6548, -9235, -11448, -13181, -14428, -15183?\nAnswer: -15440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2018 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-67*(-285)\/25460)\/(1 - (-14)\/(-20))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4 + ((-15)\/2)\/(-5). Let z be 1\/(-3)*(-24 + 12). Suppose q*i + 162 = z*n, 3*i + i = 12. What is the highest common factor of n and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 29*c + 173. Let o be y(-6). Let k = -2249\/1955 + 27\/23. Which is smaller: o or k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 12*h**3 - 5*h**2 + 5*h - 36. Let c be l(8). Suppose 67*b - 63*b - c = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) - (sqrt(128) + 0 + 2*sqrt(128))) + 2.\nAnswer: -16*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59352 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 302\/3042 - ((-87850)\/2259 - -39).\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 566279.9+731\nAnswer: 567010.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-1)\/(-1)*(-1)\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*l**3*v**3 - 8*l**3 - 7*l*v**3 - 2*l wrt v.\nAnswer: 27*l**3*v**2 - 21*l*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*g = 88, 0*z + 3*g - 11 = -z. What is the second derivative of -27*k - 6*k**4 + 9*k - z*k**4 wrt k?\nAnswer: -384*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3\/7*u**5 - 9\/7*u**2 + 9\/7*u**4 + 0 + 3\/7*u**3 - 6\/7*u = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - 1\/(-2)*6. Suppose 0 = -2*p + v*p. Solve 4*f = -p*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325*b - b**3 + 4*b**3 + 1007*b + 277*b.\nAnswer: 3*b**3 + 959*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/62804 and -139\/16716.\nAnswer: 37493988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*z**4 + 495*z + 743.\nAnswer: -8*z**3 + 495","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) -0.398 (b) -0.03 (c) 4\/161 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 + 2*d. Let b(w) = -w. Let g(l) = l**2 + 2*l. Let r(s) = -b(s) + g(s). Calculate 2*r(z) - 3*t(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.3, 1, -522705, -1 in descending order.\nAnswer: 1, 1\/3, 0.3, -1, -522705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*((q*q\/(q*q**8)*q)\/q)\/q*q)\/q**(2\/7) assuming q is positive.\nAnswer: q**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 118 + -124. Let o(n) = -n**2 - 8*n - 8. Let q be o(t). Which is the closest to q? (a) -8 (b) -3\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159949837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 245*f**2 - 58*f + 4. What is the hundreds digit of i(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.33 and 4\/189 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 - 34*h + 40. Let i be s(16). Suppose 3*v + c = -2*v + i, 2*v + 3*c = -2. Solve -v*l = -3*l + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2622 and 3306.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**5 + 0*s**5 + s**5 + (-2*s**5 + 5*s**5 - 2*s**5)*(0 - 2 + 4) + (-5*s**5 + 4*s**5 + 0*s**5)*(-3 + 5 + 0))*(4 + 0 - 2).\nAnswer: 2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-6*(sqrt(25) + (sqrt(625) - (sqrt(625) - (sqrt(625)*4 - sqrt(625))))))\/(sqrt(1620) - sqrt(60)\/(sqrt(12)*1)).\nAnswer: -96*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mursmyryq. Give prob of picking 1 r, 1 q, and 1 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + 12. Calculate the remainder when 1\/(8\/432) - 3 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*y - 88 = 84 - 1090 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -208*p**3 + 0 - 2 + 211*p**3 to q + i*p**3 + c*p + r*p**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154, 536, 1182, 2098, 3290, 4764?\nAnswer: 6526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-26))\/((-27)\/12 + 2). What is the second smallest value in 1\/9, 4, u, -2\/19?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(2)) + (sqrt(2) + 0)*-5)**2 + 3 + ((1*sqrt(16)\/sqrt(4))\/(sqrt(2) + (sqrt(2) - 2*(sqrt(12)\/sqrt(6) - sqrt(2)))))**2.\nAnswer: -12*sqrt(2) + 83\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykuysiui. What is prob of sequence su?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1440)\/sqrt(8).\nAnswer: 3 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g - 25. Let w be o(-7). Let h be w\/(-6)*12\/(-152). Which is greater: h or -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 147 + -147. Let q(f) = -26*f + 2. Let u be q(i). Which is the third smallest value? (a) 13\/6 (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2. Let n(u) = -82*u. Give n(g(j)).\nAnswer: 82*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/16 - (-14)\/8. Let l be 30\/(-20) - (-137)\/2. Suppose -l + 59 = -o. Solve g*j - 4*m + 8 = -m, 2*j + 4*m = -o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -138\/5 = -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38768394 by -419.\nAnswer: -92526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**2*p**2 + 660*i**2*p*t + 458*i*p**3 + 2*p**3*t with respect to t.\nAnswer: 660*i**2*p + 2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -338.2 rounded to the nearest ten?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3 = -x, 7*x = 8*x - 4*q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d = 12*d + 196. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1716 + 113263\/66. Find the common denominator of -103\/294 and d.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*l - 9*l + 18 + 17*l)*(-l + l - 2*l**2) to h*l**3 + q + i*l + n*l**2 and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4083708 milligrams in nanograms?\nAnswer: 408370.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 594 and (-6 + (-15)\/(-7))*(3 + (-462)\/7).\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 10*x = 21. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + -1367a?\nAnswer: -13670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1829*n + 1860*n + 1892*n - 9209*n + 1852*n + 1863*n.\nAnswer: 87*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3 + 95. Let p = 93 + o. List the prime factors of p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 4*v**2 + 2*v + 1. Let u be ((-12)\/10)\/((-12)\/150). Let b = 18 - u. Let q = 0 - b. Calculate i(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*2*6\/8. Let z(k) = 2 - 44*k + 17*k + 16*k + 9*k. Let o be z(0). Sort t, o, 5 in decreasing order.\nAnswer: 5, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -1297a1?\nAnswer: 1297a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/21 or 0?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 486788 to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.39048 and -1.9.\nAnswer: 4.541912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -126*h + 380. Let l be k(3). Solve -l*y**3 + y**2 + 4\/3*y**4 + 0 - 1\/6*y = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b - 5. Let w be h(-4). Suppose 3 + w = 3*i. Let t = -11 - -12. Calculate the remainder when i is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/319 and 13\/1583197?\nAnswer: 1583197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28361 and 4029790?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, 13\/6, -5, 1, -7\/3 in descending order.\nAnswer: 8, 3, 13\/6, 1, -7\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 2*v + 7. What is b(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -23*b + 475. What are the prime factors of w(5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 0.0039?\nAnswer: 0.3039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 837 + -549. What is the highest common divisor of 32 and j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 q, and 1 z when four letters picked without replacement from kkkqozqqkqqqqrq.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 2. Suppose 0*w + 3*w - 6 = 0. Suppose r = 3*t - r + 2, -w*r = -4*t. Calculate the remainder when 14 is divided by m(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 608 = -8*m. Let w be 1\/(-2) - (3 - m\/8). Solve -w*s - 4 = -10*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39.29, -1\/5, 18607.\nAnswer: -1\/5, 39.29, 18607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j**3 + 10*j**2 - 84*j + 75. Let o be b(1). Suppose 6*f = 3*f + 6. Solve -o*v = f*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**3 - 1 - 3*f**2 - 4*f**3 + 0*f**2 + 2*f in the form h*f + s*f**3 + t*f**2 + p and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*k - 2*g + 16 = 0, -k - 10 = -3*g. Let l be k\/((3\/3)\/(-1)). Is ((-8)\/(-12))\/(l\/(-21)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z\/(z*z**(-2)\/z))\/(z\/(z\/(z*z**(-1\/3))*z)))\/((z\/(z*(z*z\/((z*z**2)\/z)*z)\/z)*z)\/z**(3\/4)))\/((z**1)**(2\/5))**(-24) assuming z is positive.\nAnswer: z**(881\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 2 - (-1 + -4). Suppose 5*z - 5*i = 3*z + 303, -l*i - 305 = -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: -3 * -169129550\nAnswer: 507388650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 313*q**2 + 15*q + 36. What is the remainder when p(-2) is divided by 97?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -14*f**2 + 4*f - 3. Determine z(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*v - 8*v + 3 - 5)*(10 + 1 - 9 + 2*v).\nAnswer: 32*v**2 + 28*v - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -435*x**4 - 8*x**3 + 5386*x**2 + 29771*x + 1461 wrt x?\nAnswer: -5220*x**2 - 48*x + 10772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**6\/20 + v**5\/10 - 11*v**4\/24 + 9*v**3\/2 - 114*v**2. Let o be m(9). What is o rounded to the nearest 100?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xokkxkok. Give prob of sequence oxo.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17 or -179?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -290458, -290458, -290456, -290452, -290446, -290438?\n\"Answer: w**2 - 3*w - 290456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijiiiicicjcaajj. Give prob of sequence aj.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1 + 17 = 0. Suppose 22*g - n*g = 0. Solve 0 = -t - g - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 850?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 2*i - 2*y + 26690416, 0 = 4*i - y - 26690416. Let m = -3691290 + i. Suppose 6*c - 2058686 - m = 0. What is c rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10467523013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11335238 and 4724.\nAnswer: 2362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from {z: 1, l: 1, v: 1, u: 1, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.51 + -4.59. Let f = q - -5.1. What is the nearest to f in 5, 8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -336 + 164 + 4313*j + 172 in the form i + z*j and give z.\nAnswer: 4313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -47, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9.8856 * 0.324\nAnswer: -3.2029344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o + 6 + o - 3*o - 2. Suppose -4*s + 15 = n, s + 0*n = n. Let z(r) = 4*r - 2. Let b(k) = s*f(k) + 5*z(k). Differentiate b(g) with respect to g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37304 + 1311?\nAnswer: 40615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**6\/120 - 13*d**5\/60 - 29*d**4\/24 - 47*d**3\/6 - 9*d**2 - 4. Is q(22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14257 - -1012252\/71. Is -2 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**4 + 132*x**3 + 1887*x**2 + 8670*x = 0.\nAnswer: -17, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 6403 + 5910. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60033393?\nAnswer: 3, 7, 29, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/308 not equal to 14.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + q**2 + 0 - 1\/4*q**4 - 1\/4*q**3 = 0 for q.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6*a*a\/a**2*a)\/(a**(-2)*a**(2\/3)\/a)*(a**0)**(-1\/35)\/(a**(2\/3)*a*a\/a**(3\/5)*a) assuming a is positive.\nAnswer: a**(94\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/7502532 and 41\/406.\nAnswer: 52517724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -103 (c) -3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 147005*p**2 - 5398425427*p + 308188053777.\nAnswer: -(p - 57)*(p + 73531)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2232\/25 >= 88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12 and -1710014034.\nAnswer: -1710014046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - 110 = -r. Let q(x) = x**2 + x. Let w(h) = -5*h**2 + 5*h - 14. Let o(y) = -6*q(y) - w(y). Does 14 divide o(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 435670 + 133*l - 435670.\nAnswer: 133*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 28*r + 121. Suppose x - 8 - 21 = 0. What is the remainder when x is divided by p(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u*u**(1\/2)\/u*u)\/u)\/(u\/u**(-1)))**(-25) assuming u is positive.\nAnswer: u**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*a + 194 - 180 = 208 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 greater than or equal to -148\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (3 - (-4 + -4 + -5))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 bigger than -7441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33985573*t**2 - 3*t - 33985572*t**2 + 3*t.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15 and -0.137.\nAnswer: 14.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**3 + 2*b**2 - 1. Let i be v(1). Let r be i\/10 + 36\/5. Suppose -r*k = -8*k + 551. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*i - 2*i + 12, -5*i + 40 = 5*o. Suppose -i*x - x = -3*l + 156, 2*x + 51 = 5*l. Let m = x - -48. Solve 5 = v, -b + 7*v - m = 3*v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 775 + -1037. Is l >= -262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1. Let t(j) = -4*j - 10 + 5 + 0*j. Calculate t(c) + 6*w(c).\nAnswer: -4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7159589 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*-2*sqrt(119)*1)\/((sqrt(343) - sqrt(343)*-4)*-4)*-6.\nAnswer: -27*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - ((sqrt(171) + -1*sqrt(171))*-4 + sqrt(171))) + -5*1*sqrt(171))\/((sqrt(324)*3 - sqrt(324))*-4).\nAnswer: 5*sqrt(19)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b - b - 147 = -507 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3340291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = 2*p + 43*p - 108. Let h(m) be the third derivative of m**6\/120 - 6*m**2. Let t(z) = -z**3 + 8*z. Calculate p*h(s) + t(s).\nAnswer: s**3 + 8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m - 78 - m + 78 - 7*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/((-33)\/12) + 8. Factor 6*y**2 - 10*y**2 + g*y - 2*y**2 - 6 + 8*y**2.\nAnswer: 2*(y - 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 9*b**2 - 2*b + 2. Calculate o(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/(-39)*115\/1610.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -60287?\nAnswer: -10\/60287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -20. Suppose l = -4*d + 4954422 + 5365578. Suppose -3*o + 0*o = -d. What is o rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = r + 11 - 46, -3*f + r = -29. Find the third derivative of 6*z**3 - f*z**2 + 0*z**3 + 0*z**3 wrt z.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6844, 13688, 20544, 27412, 34292, 41184?\n\"Answer: 6*k**2 + 6826*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.0304947 millimeters?\nAnswer: 30.4947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746945 is divided by 13336.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 241104434, 241104433, 241104432, 241104431?\n\"Answer: -k + 241104435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2379.85 - -2060.2. What is v rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 1237247.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 11 - (-1 + (-1 - -1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from nnfkyywnnyk.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 81*q - 90*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1956 - 1154. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 - 6*x + 78. Calculate the remainder when g(8) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + x - 1938 - 1686 = 0, -5*x - 1455 = -2*o. Suppose -5*w + o = -0*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/14 and 179\/2142.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/49, 2\/7, 2\/11, 1\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 - 4*r**2 + 3*r - 1. Let b be a(2). Suppose -b*i + 8*i - 105 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(((l*l*l**0*l*l)\/l*l)\/l)\/l*l*l*l*l)**(-4\/23)*(l*(l*(l**(3\/8)*l)\/l)\/l)\/l**(-2\/5))**(1\/28) assuming l is positive.\nAnswer: l**(513\/25760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, m: 3, u: 5}. Give prob of sequence uu.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 5*i + 18 + 0*i - i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by 12559\nAnswer: 30\/12559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.737243029 * -4.\nAnswer: -2.948972116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*x**3 - 2*x**2 - x**2 + 3*x**2.\nAnswer: 145*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 - 559*a - 235*a + 2*a**2 + 4*a**2.\nAnswer: 2*a**2 - 794*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*s + 2, 6*v - 8*v + 7 = 3*s. Is s less than -1\/130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/6167 or 48?\nAnswer: -2\/6167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (17 - 27) + 21?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/6)\/((-2)\/8). Suppose -l*o = -o. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2355702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 3*a, -2*a + 3 + 1 = 0. Let k be 8*((-2)\/10)\/(y\/5). Let i(v) = 27*v - 21. List the prime factors of i(k).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - (-2 + 2) - (56 - (-59 - -106))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1750 + 7752*b - 879 - 871 in the form q + y*b and give y.\nAnswer: 7752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/((-598)\/182))\/((6\/(-2))\/(-3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f**3 + 17*f**2 + 2*f + 7. Is n(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011122120202212 + 0?\nAnswer: 1011122120202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*f**3*p - 5*d*f**3 - 2*d*f*p**2 + 12*f**3*p + 3*f**2*p**2 wrt d.\nAnswer: 2*f**3*p - 5*f**3 - 2*f*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40729*p - 40756*p + 166*p**2 + 192*p**2)*(-p + 3*p - 4*p).\nAnswer: -716*p**3 + 54*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7623)\/(-49) - 10) + (-4)\/7. Let h = n + -104. Suppose -3*g = g - 484. What is the remainder when g is divided by h?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -7. Let o be t + 1 + -2 + 2. What is g in -2\/5*g**5 + 2\/5*g**4 + 0*g - 2\/5*g**2 + 2\/5*g**3 + o = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (82\/(-8))\/(64040\/(-320) + 200)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561 is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1584 divided by 66.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*84\/(-112)*(-116)\/3?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*s - 199, -4*o - 277*s = -276*s - 183. Solve -58*q + o*q = 84 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -0.061095, -3.7 in increasing order.\nAnswer: -29, -3.7, -0.061095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*g**3 - 37*g**3 - 18*g**3 + 145*g**3 - 26*g**3 - 28*g**3.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/3, 2\/9, -14, -6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 955 divided by 3.\nAnswer: 955\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 845 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**4\/12 - 2*m**3\/3 + 2*m**2 - 2*m. Let y be o(4). Let v be (105\/(-28) + 4)*16\/2. Solve y*i + 2 + v = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -776, -1543, -2290, -3011, -3700, -4351, -4958?\nAnswer: -5515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2955*j + 1180*j - 17804 + 230804 for j.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + r - 6*r)*(-29*r**3 + 105*r**2 - 105*r**2 - 1).\nAnswer: 116*r**4 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -850, -3, -5.\nAnswer: -850, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 4*u - 831 - 865, 2599 = 3*n - 5*u. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1070 divided by -5.\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, d: 1, n: 1, i: 3, y: 7}. What is prob of picking 1 d and 1 n?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*h**3*r**3 - 151*h**3*r + 42563*h**3 - h**2*r**3 - 3695*h*r**3 + 3366*h*r + h wrt h?\nAnswer: 72*r**3 - 906*r + 255378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 6*o**2 + 36*o + 87. Let v be d(-9). Solve -v*l + 15*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1885?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-6))*r*r**(-2\/15))**(8\/11)\/((r*(r**9*r)\/r)\/(r*r\/(r*(r*(r\/(r*(r**(-5\/6)\/r)\/r))\/r)\/r)))**(-36) assuming r is positive.\nAnswer: r**(65174\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 5:00 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**3 + 288*t - 2*t**2 - 288*t as r*t**3 + i + q*t + h*t**2 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501767 is divided by 1212.\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -5, 14, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 11. Calculate the greatest common divisor of f and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 + 16*n**2 + 317*n - 2 + 2 + 17*n**2 - 223*n.\nAnswer: 33*n**2 + 94*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 2. Suppose 16*r = w + 15*r + 7, 3*w + 5*r = -61. Let j be w\/22 - 5734\/(-671). Give o(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29818*r**3*v**5 - 34*r**3*v**2 - 2*r*v**3 + 1422*r*v**2 wrt v.\nAnswer: 1789080*r**3*v**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01092376962 rounded to 6 decimal places?\nAnswer: -0.010924","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 20 = -5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189, 785, 1777, 3165, 4949?\nAnswer: 7129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -523 + 531. Sort 1, i, -7, -5.\nAnswer: -7, -5, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 63 (b) -0.5 (c) 0.5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + d + 2*n = 4, 3*n = 0. Suppose 45 + d = -m. Let v = 34 - m. Does 21 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 24065557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 291011803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30846 and 261318.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i + 6. Let u be c(6). Let d(f) be the third derivative of f**4\/24 + f**3 + 3*f**2. Determine d(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) -3 (b) -2\/49 (c) 38 (d) 0.06 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.89237107 to two decimal places.\nAnswer: 3.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 480*z**2 + 2*z + 480.\nAnswer: -2*(z - 1)*(z + 1)*(z + 240)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(99) - (sqrt(99)*-1 + sqrt(99))) + sqrt(99) + 2*sqrt(99)*-6)\/(-2*4*sqrt(144)*1).\nAnswer: 3*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 167 - 88. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -118 divided by 5\nAnswer: -118\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m - 3*m + 3*m)*((-2 - 4 + 3)*(28*m**3 + 803*m - 27*m**3 - 692*m) - 11*m**3 + 4*m**3 - 10*m**3) to g*m**4 + x + q*m**2 + r*m + l*m**3 and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -56c0e (base 15) to base 7\nAnswer: -2226632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 3 + 0 - 7)*(3*u + 0*u - 6*u)*(-3*u + 2*u - 2*u).\nAnswer: -18*u**3 - 90*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*f**2 + 2 - 1 - 200*f + 201*f in the form s*f + i*f**2 + l and give i.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/44)\/(2\/(-16))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*j - 30 - 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 158*o**2 + 2*o + 18. Let s(l) = -78*l**2 - l - 10. Give 6*q(d) + 11*s(d).\nAnswer: 90*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683223 is divided by 1294?\nAnswer: 1285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1 = -5*b - 0*b, 3*m - 4*b + 16 = 0. Let u(g) = -g - 8. What is the remainder when 19 is divided by u(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.041? (a) 2\/19 (b) -15 (c) -14\/123 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 divided by 311?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44191 + 99102. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2. Let b be (-4)\/18 + 130\/18. Let i = b - 4. Let d(r) = r - 3 + 3 + i*r. Calculate s(d(k)).\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38736, 38750, 38760, 38766, 38768, 38766?\nAnswer: 38760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 15 + 3. Calculate the lowest common multiple of 7 and 18\/4 - (-3)\/a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)\/(a*a**1))**(1\/21)*(a**(1\/2))**(5\/7)*(a\/(a\/a**(-3\/5)))\/(a\/a**(-6)*a) assuming a is positive.\nAnswer: a**(-1801\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 154 = 3*w. Let m = w - 19. Let b(a) = 5*a**2 + 3 + 7*a**m - 2*a**3 - 4*a**3 - 6*a. Calculate b(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdbd when four letters picked without replacement from bbddbb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 7*n + 14. Let t be j(-6). Solve 2*y = -0*y - t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 6*u**2 + u - 8. Let n be a(6). Let o = n + 7. Suppose 0 = -o*g + g - 12. Put g, 4, -1 in descending order.\nAnswer: 4, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 29, 70, 127, 206, 313, 454?\n\"Answer: f**3 + 2*f**2 + 28*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81\/12*(-8)\/(-3) and (-18)\/(576\/80)*2412\/(-30)?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 4. Let t(c) = -c + 1. Let w be t(f). Suppose -w - 19 = -2*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 12) in base 9?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3\/(i\/(i**0\/i)))**40 assuming i is positive.\nAnswer: i**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*p + 3120 = 19*p for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.01 and -2.45.\nAnswer: -2.4745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/33 and 71\/637113?\nAnswer: 7008243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2749 - 41266\/15. Let g = 41507\/9 + -4606. What is the common denominator of g and o?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, m: 1, k: 1}. Give prob of picking 1 k and 1 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 6*j - 4. Suppose -203 - 195 = -398*t. Determine g(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2152330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -123?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/120*(-5645)\/173866.\nAnswer: -1\/168","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.86 + 0.04. Let s = -29.1 + 34. Let o = s - k. Which is the closest to -0.2? (a) o (b) -3 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5013728685?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39*d*p + 1117*d - 6444562*p**2 - 29435 with respect to p.\nAnswer: -39*d - 12889124*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - -42. Suppose -3*c + 72 = -t, 36 - 382 = 5*t - c. Let h = -60 - t. Calculate the greatest common divisor of h and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**8\/3360 - t**6\/144 + t**4\/12 + 13*t**3 + 33. Let s(p) be the third derivative of g(p). Suppose s(z) = 0. Calculate z.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*s - 29, 8*s - 40 = 4*s - 5*r. Let f be (-3)\/(7\/(70\/s)). Suppose -5*j + 11 = -3*a, -2*a + 1 - 6 = -j. Put -1, f, j in descending order.\nAnswer: j, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30229, 120915, 272065, 483679, 755757?\n\"Answer: 30232*t**2 - 10*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-33) + 652\/44. Solve 2*z - 9 + k = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0099 * -2\nAnswer: -0.0198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/371037 and -1\/213995?\nAnswer: 235608495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -431 - -473. Solve -666*t + 660*t = r for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-3)*(-14 + 15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, -120\/13, 3\/8, -30, -0.4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*d + 39, 2269*d - 52 = 2265*d + 3*r. Let h(x) = 2*x**2 - 6*x - 15. Let u(v) = v**2 - 3*v - 7. Calculate d*u(p) - 6*h(p).\nAnswer: p**2 - 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3748736 and 117148?\nAnswer: 3748736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, r: 14}. What is prob of picking 4 g?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 8*a**3 - 1 + 4*a**3 - 11*a**3. Let q(x) = 4. What is -2*c(d) - q(d)?\nAnswer: -2*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*x**(-3)))\/(x\/(x**(3\/7)*x*x)))\/((x\/(x\/x**(-7)*x))\/x**7) assuming x is positive.\nAnswer: x**(129\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oookoooookoo. What is prob of sequence kk?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236574.\nAnswer: 2, 3, 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 3192612700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 132\/20 - 6 - (-17)\/5. Solve 0 = -4*t - y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101414073?\nAnswer: 3, 29, 307, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1232*k = 2473*k - 1236*k - 135 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-10)*15\/(-6). Let l(d) = 5*d**2 - 9*d - 18. Let j be l(-3). Let k be (-417)\/j - -6 - 6\/(-4). What is the third biggest value in 1\/5, -1, h, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 573*g - 1407*g = 1099*g - 255156 for g.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 30. Suppose 4*z - 195 = z. Calculate the highest common factor of j and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 115*c**2 - 3239*c - 155. Give b(-49).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 7*j - 44 = j + 4*d, 580*d - 22 = 582*d for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*b - 5*b - 4*i, 0 = -5*b + 5*i. Suppose 1 - 5 = -b*v. Solve -7 = v*l - 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.39, -1\/6, -4 in decreasing order.\nAnswer: -1\/6, -4, -10.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + y = -1, 6*z - 2*z = -5*y + 13. Let o = -2 - -1. Sort o, -5, z in decreasing order.\nAnswer: o, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 0*b**3 - 2*b**2 - 1\/60*b**5 + 1\/24*b**4 + 0*b + 0. Let i(a) = a**3 - 5*a - 5 + 3*a + 7 + 4*a**2. What is i(n) + 2*t(n)?\nAnswer: n**3 + 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 14*n**2 - 12*n - 20. Let m be y(-14). What is the greatest common divisor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1084, -1085, -1086?\nAnswer: -1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/7)*u**(-3)*u*u*((u\/(u\/((u\/u**(-1\/3)*u)\/u))*u)\/u)**21 assuming u is positive.\nAnswer: u**(187\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 386823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**3 - 3*z**2 + 5*z + 7. Let b be c(-3). Suppose 5*s = -33 + b. Let m be (-4)\/(-18) + (-16)\/(-9). Which is greater: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 327.492 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 - -24. Let f be 3\/2 - r\/(-10). Is f greater than -16\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62299829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 + 90. Let z = 347 - 217. Suppose z - u = 5*a. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hdddtdldlhthphdhhda. Give prob of picking 1 a, 2 l, and 1 h.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 + (-15)\/20)\/(1\/(-12)). What is the highest common divisor of 105 and n?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 521857 or 522016?\nAnswer: 521857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -974696, -1949386, -2924076, -3898766, -4873456, -5848146?\nAnswer: -6822836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44110074?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1372 * 9866.\nAnswer: 13536152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*s - 493944 + 85364 = 0. Is s a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -1323, 3 in ascending order.\nAnswer: -1323, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -91039*p**2 - 546238*p - 24.\nAnswer: -(p + 6)*(91039*p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 39\/3)\/(-3). Suppose 3*x - 3 = 2*f + 5, n*f = -x + 14. Suppose -3*m - 1479 - 189 = -3*a, 0 = 4*m - x. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 6*b**2 + 17*b + 57. What is q(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 592, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-71)\/((-10295)\/(-1334))*(-5)\/1\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -205*v**2. Let j(q) = -q**2 - 107443. Give j(c(z)).\nAnswer: -42025*z**4 - 107443","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/266)\/((-1086)\/(-15204))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 7*d + 10. Let y be w(-8). Suppose 4*b = o + 3*b - 6, o - 2*b = 10. Find the third derivative of l**6 - l**2 - 3*l**o - y*l**6 wrt l.\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*x = -22 + 37, 15 = 3*u + x. Let p(v) = 2*v**2 - v - 2. Let o be p(-3). Solve 4 = -u*h + o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjvvjjv. Give prob of picking 3 v.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43036877.\nAnswer: 13, 17, 193, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -6*s + 5*l + 29, 0 = -s + 5*l + 12. Solve -3*p - 4*o = -1, -5*p + 4*o + 6 + s = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 610*i - 1502*i + 702*i = 14060 for i.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-10)*(-4 - -14). Let j = -1 - -11. Suppose -b + i = -j. What is the remainder when b is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 3. Suppose -3*p - d*p = -10. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 24.22. Let c = t + 9.78. Let v = c + -9.6. What is v rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009431419 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -185*q - 889. What is r(-5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1239663 + 1239223 = 20*k for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2 + 21148*y = 0 for y.\nAnswer: 0, 10574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93809074.\nAnswer: 2, 46904537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - h - 348 + 1247 = 0, 215 = b - 3*h. Let t = 237 - b. Are 8 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**3 - 987*s**2 - 26100*s = 0. What is s?\nAnswer: -300, -29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -87, -2\/9, 3, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -407 + 406.5. Which is the fourth smallest value? (a) 2\/13 (b) r (c) -5\/4 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77 or -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.79580583 to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21 - (-4 + (-6)\/(-3)). Suppose 0 = -3*t + z - 5. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.47 - 58.479347589.\nAnswer: -56.009347589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/2882*(-33891)\/9243?\nAnswer: 1\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1865*y + 1575*y + 12 - 8)*(y**2 - y**2 + y**3).\nAnswer: -290*y**4 - y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c + 1323 = 94*c + 88*c + 34*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/1)\/(1\/(-2)). Suppose o*f = -0*f + 6. Solve 0 = 3*w - 5*a + a + 22, -f*a + 12 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1997527 to the power of 1\/2, to the nearest integer?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 9:31 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 + r + 1. Let j be k(-3). Suppose -9*b - j = -5*b. Let s be ((-4)\/(-14))\/(b\/(-16)). Is 0 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (542\/24)\/(3 + (-135)\/44). Let x = -1001\/3 - z. Calculate the common denominator of x and 1 - 29\/4 - -2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v - 2. Let a(f) = f**2 - f - 1. Give 2*a(m) - p(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*m + 32532, 4*m + 28657 + 3917 = 5*n. What is the highest common divisor of n and 840?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 49 = -4*b, u - 6*u - 5*b = -70. Let a be 5\/((-100)\/(-115)) - 2\/(-8). Suppose -19*z = -16*z - a. Solve -z*v + u = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x + 13. Determine l(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 111021100020221111?\nAnswer: 111021100020221111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3, 2, 35\/2, 12, 0.5.\nAnswer: -3, -0.1, 0.5, 2, 12, 35\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d**2*m + 2*d**2*y + 692*d*m**2*y - 2*m**2*y - 644*m*y + 3*m wrt d.\nAnswer: -6*d*m + 4*d*y + 692*m**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/2)\/(u*u*(u\/(u*u\/u**(-13)))\/u))\/(u**(-2\/45)*u*u\/(u*u**(-2\/63)\/u*u)*u) assuming u is positive.\nAnswer: u**(5993\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**2 - i + 2. Let g be h(-3). Let v = -122\/3 + g. Are 0.1 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1605*w + 2156*w - 3106*w - 49125 for w.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 235 (c) -2\/17 (d) -0.06 (e) 6857\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 0*i - 1\/15*i**5 + 2\/3*i**3 - 1\/120*i**6 + 5\/24*i**4 - 4*i**2 + 0. What is p(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 27. Let n(h) = 7*h + 53. Let x be n(-9). Let y be (-25)\/2 - (1 + 25\/x). What is w(y)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.01 (b) 5 (c) 1\/5 (d) 0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + b**2 + b + 2. Let z be t(2). Let j be (-1*9)\/3 + z + 3. Is j not equal to -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 37, 0, 28?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113 + -40?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*g - 147*g + 194 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 139 - 95. Is ((-445)\/15)\/(d\/(-33)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80750 = -2994*w + 77454 + 18442 for w.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 251 and 4582256.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b**3 + 2*b**2 + 1181*b - 413470?\nAnswer: 9*b**2 + 4*b + 1181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58577611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5)\/p**(-3\/5))\/(p**(-1\/2))**(-14) assuming p is positive.\nAnswer: p**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4)\/p**2*p**(-39)*p*p**28)**(3\/25) assuming p is positive.\nAnswer: p**(-141\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 0. Is 7 - m - -11*3 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1942 times -8.2\nAnswer: -15924.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6317479*3.\nAnswer: 18952437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 + 79. What is the remainder when a is divided by (-3 - -2)*-20 + -2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5\/13 + 1046*h**4\/13 - 183734*h**3\/13 + 11077882*h**2\/13 - 42140032*h\/13 + 41421736\/13 = 0.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ql when two letters picked without replacement from {l: 4, j: 1, q: 3, d: 6}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1100 + -221. Suppose 3*n - b = -4*x, 2*x + 4*n - 228 = 204. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydvv when four letters picked without replacement from yddvvvdvvy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -10)*(-5)\/10. Let o be 7 + (-4 - 12\/8). Which is the third smallest value? (a) o (b) 2.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 641 + 72. Is 31 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192 - 849 + 201 - 6*y**3 + 262 + 194.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/h**(2\/9)*h**(-2\/5))**(-15))**(-12\/5))**(2\/23) assuming h is positive.\nAnswer: h**(496\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*x + 93, -3*x - 150 = 2*m - 4*m. Suppose 2*g + m = 143. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 6\/25 (b) 3\/19 (c) -5\/2 (d) 0.4 (e) -1 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = 1197*w - 7089 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.80202us in milliseconds?\nAnswer: 0.00680202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 + -2 + (21 - 16). Let d(n) = -n**2 - 4*n - 3. Let o(q) = q**2 + 3*q + 3. Let l(x) = f*d(x) - 4*o(x). Let v(s) = 2. What is -2*l(y) - 3*v(y)?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33 and -7343792.\nAnswer: -7343759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**2 - 3*r + 2. Suppose -3*w = -8*w + 25. Calculate the remainder when l(2) is divided by w\/2*56\/20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 116199*c**2 + 2322492*c + 11149344.\nAnswer: 3*(c - 38713)*(c - 24)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(120)*-2 - (sqrt(120) - -1*sqrt(120)*3))\/(sqrt(96) + -2*sqrt(96) - (sqrt(30)\/sqrt(5) - sqrt(6))*6).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 58549422 to the power of 1\/3, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (312\/108)\/(37 + 2338\/(-63)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9, 26, 45, 66, 89?\n\"Answer: n**2 + 14*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - i. Let r be x(0). Let t = -6 - -8. Sort r, t, -4.\nAnswer: -4, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -130*y**2 + 12*y - 8. Let i be g(4). What is i rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tqtttqqtqoott. Give prob of picking 2 t and 1 o.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*(-15)\/(-2)*76\/418?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -2, 6 in decreasing order.\nAnswer: 18, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*x**2 + 24*x**2 + 200 + 214 - 414.\nAnswer: 58*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 2\/3 (b) -44 (c) -29 (d) 2.6 (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**2\/7 - 2410*c\/7 + 1725 = 0?\nAnswer: -2415, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z**2 - 13*z - 26. Let u(h) = -13*h**2 - 26*h - 53. Let c(w) = -9*s(w) + 4*u(w). Let d be c(-2). Solve -1 = -d*f + 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1004 + 1004. Suppose t + 3\/2*x**2 + 1\/2*x**3 + 0*x = 0. What is x?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110233 (base 4) to base 8.\nAnswer: -12457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51.02 + 52. What is g rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, -17, 23, 1 in ascending order.\nAnswer: -17, -8, -3, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 - 51. Let h = s - 21. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 14*c + 14. Let o be r(-14). Solve -3*z + p = 1, -z - o = z - 4*p for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6279*a + 12903 = 7038*a for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3886769723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*v - 55*v - 35*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64085 (base 14) to base 10.\nAnswer: 241589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*t + 42 = 3, 2*b - 29 = -3*t. Suppose 2*z - b*z = -16. Solve z*d + 2*q + 2 = 18, -2*q = -10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-6)*9)\/(-1). Suppose -4*p + 2 = -c. Solve 0 = 3*f + 10 + p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 1643073501?\nAnswer: -1643073501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108)\/198)\/(-1) - 115\/(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/10 + 73\/210. Let c(r) be the second derivative of r + 0*r**3 + 1\/70*r**5 + 0*r**2 + 0 + h*r**4. Determine i, given that c(i) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -488.9 to the nearest 10.\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73\/12 + 23\/4. Let p = 1 - 0. Let w be (-3)\/48*-2*p. Which is the nearest to -1? (a) -0.1 (b) w (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**3 + 2*c**3 - 12037970*c + 12037966*c.\nAnswer: 6*c**3 - 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 6) in base 9?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 230 - -1226. Is n a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4 = -4*d, -4*m + 5*d + 4 = 20. Put -14, 2, m in descending order.\nAnswer: 2, m, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -4, -0.3.\nAnswer: -43, -4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17522 - -5874.\nAnswer: -11648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7631.206l to millilitres.\nAnswer: 7631206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 - 66. Put 0, -5, 6, d in descending order.\nAnswer: 6, d, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96549?\nAnswer: 3, 32183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 196352a3?\nAnswer: -196352a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s - s**3 + 0 - 3*s - 1 - 7*s**2. Let z be q(-6). Let l be z + (6 - 1\/1). Solve b - 1 = -0*f - 4*f, 19 = l*f - 5*b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12146833 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6*f - 1606 = -3*l, -810 = 2*f - 5*l. What is the hundreds digit of f\/(-24)*(-189)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 30, 12, -6, -24, -42?\n\"Answer: -18*z + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -8*t - 2. Let d(l) = 473*l + 10. What is 3*d(x) + 15*s(x)?\nAnswer: 1299*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1218*o - 622*o = 59*o + 455*o - 181258 for o.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from {q: 5, w: 5, f: 2}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 997105.\nAnswer: 5, 47, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1562 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 24*m + 44. List the prime factors of y(5).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 690822, 690818, 690814?\n\"Answer: -4*t + 690826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42308 by 28.\nAnswer: 1511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*o - 6*o - 15 = 0, 3*s - 20 = 4*o. Which is the second biggest value? (a) 0.62 (b) 2\/11 (c) s (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**8\/84 + c**4\/12 - 3*c**2 + c. Let p(a) be the first derivative of k(a). What is the second derivative of p(q) wrt q?\nAnswer: -80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404550 = -98*m + 188*m. What is the least common multiple of 1705 and m?\nAnswer: 49445","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198257749?\nAnswer: 198257749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.28 and 2\/23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + r**2 + 6*r - 4. Calculate u(6).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -616 (base 14) to base 11\nAnswer: -998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -18 times 24\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -710*j**2 + 1638*j**2 + j + 974*j**2 to the form l*j + c + a*j**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/5183805 and 13\/3110283.\nAnswer: 15551415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/(-165))\/((-6)\/90).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30760 * 0.58.\nAnswer: -17840.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*g - 5*g + 2*g)*(-6*g + 4*g + 4*g - g + g + 2*g + (0*g - g + 2*g)*(-3 + 4 + 0)).\nAnswer: -65*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (-4 + -1 - -2)) + 3. Suppose -3*t - 658 = -x, 9*t - k*t + 3235 = 5*x. What are the prime factors of x?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -139 by 2.\nAnswer: -139\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 396710 divided by 198355\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9732 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -906\nAnswer: -906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from sssecqaaqzaeaqa.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3309 = 3309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-4)*s))\/(s*s**(-6))*(s\/(s\/(s\/(s*s**2))))**(-45))**(1\/58) assuming s is positive.\nAnswer: s**(99\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*t + 21*t = -20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 + h - 2. Let w be x(-3). Let s = w - -56. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 25\/(-1) - 8\/4. Let h be (-10)\/(-45) - (-87)\/j. Is -3 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8.6667 and 0.032.\nAnswer: 8.6987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-14)\/z*z**29 assuming z is positive.\nAnswer: z**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1773 + -1039. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)*2)\/sqrt(3))\/(sqrt(200)\/sqrt(5)) + 2 + -2 + ((-1 + sqrt(180))**2 - sqrt(180)).\nAnswer: -17*sqrt(5) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8*v - 7. Let y = -13 + 15. Let s(t) = t**3 + 2*t**2 + t - 4. Calculate the remainder when m(6) is divided by s(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7426388814.\nAnswer: 2, 3, 13, 95210113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20334 + 39541. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.122 + 0.878. Do d and -67 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2*1)\/2)\/((-12)\/36). Put 1, -2, b, -5 in ascending order.\nAnswer: -5, -2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7865 = 72*p - 400*p + 3943 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -5. Suppose h*i - 5 = 3*i. Suppose -i*k + 6 + 14 = 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*j)*(3*j - 2*j + 0*j) + j**2 + 2*j - 2*j + (j - 2*j - 5*j)*(0 + 0 - 2*j).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (162 + -158)*(45\/(-6))\/3 - -39?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from edeeeeeedeee?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 8, 0 = 3*i + 2*f - 18 - 49. Suppose 2*y = -i*y + 414. What is the highest common factor of 162 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(-11))*j**(-14))\/(j**(-4\/5)*j)**(-4\/35) assuming j is positive.\nAnswer: j**(-4371\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = n + 7, 2*n + 2 + 0 = 4*l. Suppose 0*q + 15 = -n*q. Is (-10 + q\/(-1))\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 61, 252, 569, 1012?\n\"Answer: 63*t**2 + 2*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/12 and 1\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + u + 54. What is the units digit of h(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17\/770 + -6\/77. Which is smaller: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 35 = x, k - 5*x = 3*k - 32. Suppose 20 = 5*n, -556 = -5*p + 7*n - k*n. What is the remainder when p is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1.07, 0, -2, -13, 1\/70.\nAnswer: -13, -5, -2, 0, 1\/70, 1.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**11*u**(-2\/7))**(-5\/8))**(-7\/5) assuming u is positive.\nAnswer: u**(75\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4890*v - 48891. What is s(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -134.06 + 134.2. Let f = -0.05 + 0.45. Let p be (-2 - 3\/(-2)) + -1. What is the second smallest value in j, f, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/9)\/(t*t*t**(-6\/7)*t)*(t**7)**(-46))**(-3\/2) assuming t is positive.\nAnswer: t**(20435\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1125219 + 5?\nAnswer: 1125221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 9, j: 9}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 279.32533?\nAnswer: -279.12533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 44*s**2 + s. Let k = 1143379\/24 + -47635. What is the common denominator of b(-1) and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**2 - 3*t**2 - 4 - 10*t**3 - 5 + 10 to z*t**3 + b + u*t + h*t**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/36)\/(64\/(-128)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*p - 23*p - 9015 = 0. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110 + 1001?\nAnswer: -1000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3879*h**3 + 79*h**3 + 3724*h**3 - 109*h + 109*h + 78*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -16, -17, 1, 4, -106 in increasing order.\nAnswer: -106, -17, -16, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.16 + 8.16. Let g = w + -31. Let f = -22.99994 - g. What is f rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -12*g**4 + 53*g**3\/3 - 10714*g - 3531. Find the first derivative of b(l) wrt l.\nAnswer: -144*l**2 + 106*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 80?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5201*j**2 + 323*j**2 + 308*j**2 - 7712*j**3 + 510*j**2 wrt j?\nAnswer: -46272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 10:37 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-199)\/((-455312)\/(-9828)) + 2\/44?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 83920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1, -0.2, 46, -0.4, 13, -330?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1331) + -4 + sqrt(1331) + 1)**2 - 4*(sqrt(1331) + (-5 + (sqrt(1331) - (sqrt(1331) - (sqrt(1331) + 1))))**2).\nAnswer: -59 + 176*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565 is divided by 31?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53977 is divided by 44?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1689620180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -139 + (4 - (10 - 1)) - (-34 - (-59 - -39)).\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ls when two letters picked without replacement from ucsrumsl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 5*l + 101 = 0, -59 = 448*r - 453*r - 2*l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4666, -4665, -4664, -4663, -4662, -4661?\n\"Answer: q - 4667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26949612 and 284.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329974088.\nAnswer: 2, 43, 959227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*l = 3*p - 28, 2*l - 10 = 0. Let v(z) = z**2 - 4*z**3 + 6*z**2 - 3*z**2 + 2066392 - 2066398. Let s(q) = q**2 - 1. Determine p*s(n) - v(n).\nAnswer: 4*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 5 (c) 2\/33 (d) -41\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 6 + 2. Suppose f - 9 = -t*f. Solve m - f = 4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -8*k. Let f(v) = -2*v**2 - 207 + 0*v**2 + 207. Determine f(b(m)).\nAnswer: -128*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -115*f**3 + 2*f**2 - f + 2. Let k(u) = -230*u**3 + 5*u**2 - u + 4. Let a(v) = -5*j(v) + 2*k(v). List the prime factors of a(1).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 39 = x - 5*b, -5*x + 141 = 2*b. Let o = x - 22. Solve 2*d - o*d + c - 21 = 0, 4*c - 9 = 5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1122 - 1165 + 268*w**3 - 1166 - 267*w**3 + 3453.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + ((sqrt(384) - 1*sqrt(384)) + sqrt(42)\/(sqrt(28)\/sqrt(4)))\/(1*(2*sqrt(98) - sqrt(98)))).\nAnswer: -5 + sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 3*d**2 - 12*d + 3. What is v(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79192 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/15 + 24\/5. Suppose -2*f - y*u + 1 = 0, 3 = -f + u - 0. Is 7 a factor of -1 + (47 + f)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2. Let q(s) = 14842*s**2. Calculate q(l(d)).\nAnswer: 59368*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 29*o**2 + 204*o - 5. What is f(14)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/252104 and -67\/315130?\nAnswer: 1260520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110336 by -431.\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-4)*(1280\/252)\/16?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 975 and 72075?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6*(6 - 12) - -33. Let m(z) = -z**3 + 30*z**2 - 28*z - 25. Let a be m(n). Solve -a*p + 8*p = -4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpvp when four letters picked without replacement from pvpv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*o + 8, -10 = -2*o - 3*o. Let r be (-3 + i\/3)*1. Is -4 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -25971 - -124?\nAnswer: -25847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2918065702 minus 18?\nAnswer: 2918065684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5*c**2 + 2)*(0*c - 5*c + 3*c) + (c + c**2 - c)*(5*c - 5*c - c) - 3 + 4*c**3 + 3.\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 times -5.08?\nAnswer: -2702.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**2\/2 - 181281*j\/2 - 90639 = 0.\nAnswer: -60426, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 30*b**2. Let w be (-30 - -3) + -3 + 6. Let l(m) = 4*m**2. Let d(k) = w*l(k) + 4*x(k). Let s(o) = o. Calculate s(d(u)).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9653, -19307, -28961, -38615?\nAnswer: -48269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t = 5*t + 310. Suppose -t = 5*a - 41. Solve -a*n + 4 = 0, -f + 2*n - 12 = -3*n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, -1, -25, 4 in ascending order.\nAnswer: -25, -7, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Suppose -1 + 4 = o. Suppose p = 2*r - 2*c - 18, o*r + c = 3*c + 26. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 479?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 693, -1, -7, -0.3, 4, 0.01, -4 in ascending order.\nAnswer: -7, -4, -1, -0.3, 0.01, 4, 693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11326 (base 14) to base 9\nAnswer: -63274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135278 and 27830.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5*502957\nAnswer: -2514785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 11*c**2 - 13*c - 9. Let y be h(-12). Suppose z = -3*j + 59, 5*j + 2*z + y*z = 105. Calculate the remainder when j is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 + 71*w - 379. Give z(29).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3) + (-96)\/288 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 9*u + 18 = -5*u, 2*x + 2 = -u. Let f(o) = -344*o**3 - 4*o**2 - 5*o - 3. Is f(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*i**2*k*u + 2*i**2*k - 5*i**2 - 4*i*k*u**2 - i*k - 757*k - 911*u**3 with respect to u.\nAnswer: 4*i**2*k - 8*i*k*u - 2733*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2410155 - 5?\nAnswer: 2410150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 16. Let i(l) = -3*l. Let z be i(x). Let f = z - -29. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 - 11 - 22 - 2004*a**3 + 46)*(3 - 2 + 1) in the form u*a + o*a**2 + f*a**3 + m and give f.\nAnswer: -4008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-140014)\/(-35) - (-4)\/(-10). Suppose -j = m - 2*m. Round m to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**2 + x**2 + x**2 - x**2 + 0*x**2 - x**2 - x + 2*x**2 + x + (-x + 3*x - x)*(4*x - 4*x + 9*x) - 5*x**2 - 2*x**2 + x**2 + 2*x**2 - 2*x**2 + x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 + 29 + 25)*(2*f**3 + 15*f - 15*f + 2*f**2).\nAnswer: 212*f**3 + 212*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = -3*n + 704. Let k(a) = a**3 + a + 3. Let v be k(0). Suppose -v*p = -2*w - n, -p + 0*w + 60 = -w. Calculate the remainder when p is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 16 = -0*s - 4*s, 4*c = -5*s + 24. Solve -4*r = 2*t + 14, -2*t - 4 = 3*r + s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 1927 in increasing order.\nAnswer: 4, 5, 1927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 370.4294 - 370.45139949. Let d = 0.022 + t. Round d to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 - 74*n**2 - 87*n**2 + 2.\nAnswer: -163*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 393631616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*u - 4 = -25, -2*x - u = -9. Let i = -15 + 1. Calculate the common denominator of (4\/i)\/(12\/(-413)) and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 1:15 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 4*u + 10 = -0*u, 4*d - 4*u = 16 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1128 - -20437. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 z, and 1 p when three letters picked without replacement from {b: 4, y: 2, p: 1, z: 2, j: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5421?\nAnswer: 3, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i**2 - 19 + 17 - 2*i**2)*(-i + 5*i - 3*i).\nAnswer: 4*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1.5. Let q = -12 - -14. What is the closest to -2\/3 in v, q, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 356 + 97a?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-4)*8\/(-27). Let v = 0.1 - 0.2. Let n = v + -0.9. Is n >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/2 - 780596\/((-684)\/18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -44*y - 7. Let w(f) = -f - 1. Let i(p) = -b(p) - 6*w(p). What is the derivative of i(q) wrt q?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*k - 609, -124 = 2*z + 4*k + 178. Calculate the remainder when (-866)\/(-6) - (-204)\/z is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82476 divided by -3?\nAnswer: 27492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -820998 divided by 6.\nAnswer: -136833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -18. Suppose 18 = 4*q + x. Suppose -q*m = -5*m + 182. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/5, 0.4, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 257549.237 to the nearest ten thousand.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 1\/9 (c) 3198 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 - -12076?\nAnswer: 12717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + 1)*3 + 3 + sqrt(128) + -2 + 4*-4*(sqrt(128) + 2 + (sqrt(128) - (0 + sqrt(128)))))**2*4.\nAnswer: 21504*sqrt(2) + 76864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11152 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 33 - -0.8993\nAnswer: 33.8993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**2 - 2*w + 1. Let c(f) = -326*f**2 - 10*f + 4. Calculate -c(d) + 5*q(d).\nAnswer: 311*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -18096 divided by -6?\nAnswer: 3016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2\/2 + 1931078*m + 30897120 = 0. Calculate m.\nAnswer: -3862140, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 4*t - 10. Let k be s(6). Suppose 0 = -l + k, 2*q - 29 = q - 4*l. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 494 + 102. Let t = p + -579. Calculate the remainder when 149 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -113996b + 3?\nAnswer: -1139968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, n: 5, i: 1, f: 1, g: 1}. Give prob of sequence nn.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3786*j**3*x**2 - 18*j**3 + 23177*j**2*w**2*x + 3*j**2*w*x + 776*j*w**2*x**2 + 2*j*x - j wrt x?\nAnswer: 7572*j**3 + 1552*j*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 189905467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s + 5. Let o(z) = 2*z - 2. Let n(m) = 5*o(m) + 2*p(m). Give n(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 - l - 3. Let m be o(2). Find r, given that -9*r**2 + 4*r**m + 3*r**4 + 3*r**3 - r**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559 a factor of 4627550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*g**3 + 1755*g**2 - 32430*g - 276125.\nAnswer: -5*(g - 47)**2*(4*g + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1245)\/30 - -40)*(-1)\/15*-28?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 4 + -5 - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/6)\/(4\/(-90)). Suppose 2*k = 5*k - w. Which is the smallest value? (a) -0.2 (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22, 97, 222, 397, 622, 897, 1222?\n\"Answer: 25*c**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 6*h + 2. Let f be w(-5). Suppose -22 = -f*c + 6. Sort 5, -15, c in increasing order.\nAnswer: -15, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 14 = -4*i, -2*i - 10 = 3*i. Let t be ((-40)\/16)\/(1*h\/(-4)). Suppose t*v + 10 = -3*g + 8*g, v = -g. Let w(z) = 13*z. Calculate w(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140119?\nAnswer: 7, 37, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -68 or 10\/7951?\nAnswer: 10\/7951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 + 4*u**2 + 4*u. Let d(o) = 3 - 1 + o**2 + o - 2. Give 4*d(c) - s(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 n when four letters picked without replacement from bnssbbnn?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -10 + 11*(-1113)\/(-1386)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 5:34 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*w - 42*w + 305*w**2 + 305*w**2 to the form k*w + x*w**2 + o and give x.\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4\/5 - 796922112*l**3\/5 - 70564983887256318*l**2\/5 - 2082770261153815510746312*l\/5 - 2082770190588832420412103\/5.\nAnswer: -3*(l + 1)*(l + 88546901)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 3*y - 11, 443*j + y + 3 = 442*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2857101 or -31428114\/11?\nAnswer: -31428114\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvhhamhcaha. What is prob of sequence hh?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124710, -124748, -124786, -124824?\nAnswer: -124862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**3 + 3*x**2 - 25*x + 3. Let u(p) = p**3 - 2*p**2 + 13*p - 1. Let m(d) = 2*f(d) + 5*u(d). Is m(-7) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17912 and -114.\nAnswer: -2041968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17535 * 3.\nAnswer: -52605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(7) + -2)*4*-4.\nAnswer: -16*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 5*g = 35, 3 = -33*i + 33*i - 3*g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 2. Suppose 3*h = 2 + w. Let b(c) = -c + 1. Let s be b(-3). Solve 2*d - 14 = s*j, h*d = 4*d + 5*j - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 12344477\/15 and 822965 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*220\/(-25)*1932\/(-2576)?\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3022 (base 4) to base 6\nAnswer: -534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2397, 4496, 6377, 8040, 9485, 10712?\n\"Answer: -109*y**2 + 2426*y + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24780 is divided by 8245?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 + t**2 - 1. Let g(z) = -11*z**3 - 4*z**2 - 2*z + 10. Determine g(b) + 4*x(b).\nAnswer: -3*b**3 - 2*b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + b + 0)*(-10 - 5 + 4) + (2 - b - 2)*(-3 + 3 + 2) - 1 + 1 + b)*(-2*b**2 + 0*b**2 + b**2).\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -12, -908, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 56*f**3 + 16*f**2 + 16*f - 16. Let w(n) be the first derivative of -19*n**4\/4 - 5*n**3\/3 - 5*n**2\/2 + 5*n - 1565. What is 5*j(k) + 16*w(k)?\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 550, 2183, 4894, 8677, 13526?\nAnswer: 19435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*q + 240 = 0. Suppose -2*c + 20 = -4*x, 5*x + 9 = -3*c - 5. Suppose 3*k + c*k = q. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.08.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9869 - -779676\/79. Find the common denominator of -16\/13 and q.\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8520 (base 9) to base 16\nAnswer: -186f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 150 = -49. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*p + 3\/5*p**4 - 3\/5*p**5 + 6\/5*p**3 + 0 + 0*p**2.\nAnswer: -3*p**3*(p - 2)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsssssmmmsqssssssq. Give prob of sequence sq.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/20)\/(3\/(48\/(-4))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32405.03 meters to micrometers.\nAnswer: 32405030000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 52773968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -1\/15, 1.22, -9.\nAnswer: -28, -9, -1\/15, 1.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75609 + 74457 = -36*x for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (18 + -2 + -5 + -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2813669, -5627199, -8440729, -11254259, -14067789?\nAnswer: -16881319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7}. What is prob of picking 4 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19151.\nAnswer: 11, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -200 by -483081.\nAnswer: 200\/483081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3\/6 - 2329*c**2\/3 - 9319*c\/6 - 2330\/3 = 0. What is c?\nAnswer: -1, 4660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 553554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 40. Put s, 0.5, -0.01 in descending order.\nAnswer: s, 0.5, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39159420 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 2*p + 3. Let x(k) = -k**2 + 2*k - 3. Let l be x(2). Let d be o(l). What is the third derivative of -2*m**2 + 3*m**5 - m**5 + d*m**5 wrt m?\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m. Let x(c) = 4 - 7 - c + 1. Let n be -8 - 3\/((-12)\/(-16)). Let l be (-20)\/n - (-4)\/12. What is l*z(r) + x(r)?\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -69*b + 718. Calculate v(10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 294 + -294.0283. Let f = 0.1717 - g. Sort -0.1, f, 5, -2\/11 in increasing order.\nAnswer: -2\/11, -0.1, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 717*f + 316*f + 13160 = -4401 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - i**2 + 2*i + 1. Let v be n(-2). What is the greatest common factor of v and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 8*h - 3*h = -12, -13 = -5*z + 4*h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4373566 by -14.\nAnswer: -2186783\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 546?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*o + 9, 4*o - 2*h = -3*h + 21. Let s(a) = -a**2 + a + 11. Let r be s(o). Let k(q) = -29*q**3 - 2*q**2 + 1. What is the units digit of k(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 206265*c*g**2 + 2*c*g*v + 2013068*c*v**3 + 2*g**2*v**3 wrt g.\nAnswer: 412530*c + 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-13 + 30 + -18 - (1 + 8))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(192) + 3 + sqrt(192)).\nAnswer: 9 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -287343 and -0.01?\nAnswer: 2873.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5880616090 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*i**2 + 967*i**2 + 468*i**2.\nAnswer: 1316*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -6. Let u = a - 4. Let x be 5 - (1 - (-2 - 0)). What is the nearest to u in 3, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-60)\/90 - 623158\/2437740. Let b = 1\/13543 + j. Calculate the common denominator of -19\/30 and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a decade?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 284 and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**2\/7 + 120*q\/7 = 0. Calculate q.\nAnswer: -60, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**3 - 3*x**3 + 1315*x**2 - 4*x - 1315*x**2 + 3 + 2*x**3 to the form q*x**3 + r*x + y*x**2 + z and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 + 73. Which is smaller: 0.8 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*g - 6 + 6)*(-3 - 1 - 1)*(3 - 1 - 1)*(2 - 3 + 6)*(5 - 5 + 2*g) as d*g**2 + x + k*g and give d.\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15600\/(4\/14 + (-477)\/1890). What is s rounded to the nearest ten thousand?\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 0 + 2*c**2 + 1\/2*c**3 + 1\/12*c**4 - 4*c. What is the units digit of z(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -167038?\nAnswer: -1336304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4*s - 9. Let a(p) = -2*p - 3. Let f be a(-2). Let h = 6 - f. What is the remainder when h is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9375, 10023, 10671, 11319?\nAnswer: 11967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(304) + 2 + 0 + -1 + (4 + sqrt(304)*2 - sqrt(304) - (sqrt(304) + 0 + 4))))**2 + 1.\nAnswer: 128*sqrt(19) + 4881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2 + 7*i - 3. Let k(s) = s**2 + s - 1. Let q(t) = -4*k(t) + x(t). Let f be q(4). Sort 6, f, -5.\nAnswer: -5, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4 + 6*k + 0.\nAnswer: 6*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 6396\/125 and 50 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of p**9\/3024 + p**8\/1680 - p**7\/840 - p**6\/360 + p**3 - 1. Let s(w) be the third derivative of y(w). What is m in s(m) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -7*w - 26*w. Is w < -2\/5017?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/3, -206 in ascending order.\nAnswer: -206, -3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1606 is divided by 102.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56939*w = 57365*w - 15336 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/11))**(3\/11)\/(((y\/(y*y*y*y*y**(3\/5)*y*y*y*y*y)*y*y)\/y)\/y)**(47\/3) assuming y is positive.\nAnswer: y**(244946\/1815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 4*q**2 - 7 + 3 - 4*q. Let c(v) = 1. Let r(a) = 2*a**2 - 3*a - 8. Let o = -312 - -311. Let n(u) = o*r(u) - 6*c(u). Determine -7*n(l) - 4*y(l).\nAnswer: -2*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/((k\/(k\/k**(3\/2)))\/k))**4 assuming k is positive.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6235, 12061, 17887?\nAnswer: 23713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 - 3)*(-7 - 7 + 19)*(4*t - t - t)*(t - 8*t - 2*t)*(3 + 0 - 4) in the form x*t + k + q*t**2 and give q.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -33982940 divided by 20\nAnswer: -1699147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92999.\nAnswer: 113, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - (-1 - -242)) + -5 - 5. Let r = d - -255. Let h be (-8)\/(-6) - (-4)\/6. Solve -h*s + 25 = r*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000480979612 rounded to 6 decimal places?\nAnswer: 0.000481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 2084*n**2 + 2090*n**2 - 8346*n**2 + 2087*n**2 + 2086*n**2 - 7*n.\nAnswer: n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*x + 96 = -2*x, -3*s + 5*x = -72. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a + 66*a - 17*a - 24*a - 15*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(1391\/348 - 4). Suppose 1686 = 6*f - b. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 - 38. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/36*(576\/24)\/(-168)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 - 4*j**2 + 0*j**2 + 4*j**2 - 4*j**2 - 2*j**2 + (0 - 4 + 5)*(0*j**2 + 0*j**2 - 2*j**2) + 59 - 59 + 35*j**2 in the form q*j + t*j**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14013732*r**4 - r**2 + 63357584*r.\nAnswer: 168164784*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*r - 2*z + 24, -3*r - 3*z - 117 = 0. Let d = -35 - r. Let w = -0.34 + 0.04. Which is the nearest to -1\/2? (a) d (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15.3836935, -5, -2\/3.\nAnswer: -5, -2\/3, 15.3836935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.853 rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -343847209.2 rounded to the nearest 10000?\nAnswer: -343850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = u + u. Let b = 582 - u. Suppose b - 44 = 4*v + y, -3*v = 2*y - 414. What is the greatest common divisor of v and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00184549 to five decimal places.\nAnswer: -0.00185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11850 and 750.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/3))**(-1\/4)\/(s*s*s*s**(-1)\/s*s)**(-24)*((s**(2\/13)*s)\/s**(-6))**20 assuming s is positive.\nAnswer: s**(14917\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 62872432 to the power of 1\/3, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36.91 + -37. Which is the biggest value? (a) -3 (b) -1 (c) f (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7823159?\nAnswer: 103, 151, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + n + 129 = -515, 4*t - 2582 = 2*n. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2141 = 9*n - 2087 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.93 + 0.53. Sort -6\/7, x, 0.2, -0.1 in increasing order.\nAnswer: -6\/7, x, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 264, 453, 586, 663, 684?\n\"Answer: -28*g**2 + 273*g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -8, 2, 0.5, 0 in ascending order.\nAnswer: -8, 0, 0.5, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -x - 5*w + 306, -w = 4*x + 431. Let z = x - -457. What is the highest common factor of z and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyuuuuuuuuuu. What is prob of sequence uuuy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence adjd when four letters picked without replacement from {f: 3, j: 7, d: 5, a: 4}.\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -530 = -15*b + 168*b + 2683 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/9)*a\/(a*a**6)*a\/a**(-7\/5)*a*a\/(a\/(a\/a**(-1\/5)*a)*a) assuming a is positive.\nAnswer: a**(-53\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*s + n, -2*s + 6*s = -2*n - 6. Let z be s\/10 - 7\/15. Sort -1, 1\/3, z.\nAnswer: -1, z, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 92190 + 131810 = 0. What is l rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 12*q**2 + 11*q. Suppose 0*b + 7*b + 91 = 0. Let f = -22 - -31. What is the remainder when a(b) is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6755 divided by -4456.\nAnswer: -6755\/4456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 67*i.\nAnswer: 67*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -2\/17, 1, 121?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 18*o**2 + 20*o + 19. Let i be d(-19). Sort 12, i, -4, -3.\nAnswer: -4, -3, i, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 9*z + 5. Calculate f(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24672 - 24563.067. Let t = -109 + a. What is t rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -5*r + 55, -11*r + 267 = -6*r - 4*j + 212 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.071885200206243 - -91990358.928144999793757. Let p = x + -91990303. Let r = p - 57. What is r rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*j - j. Calculate the highest common factor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 f when three letters picked without replacement from qfqfqqwwfq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 972*j - 595904. Give c(613).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 341522?\nAnswer: 341522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 2 - 2 + 2*k - 5*k + k + (k + k - k)*(-4 + 0 + 2) - 7*k + 13*k - 11*k + 2.\nAnswer: -8*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-10 + 0) - (4 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2572*y - 2573*y + f = 1, 15 = 5*y + 5*f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 9:58 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -2. Let u = z + -3. Let d be u + 1\/(-1) - -12. What is the highest common factor of 36 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213716 is divided by 391.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 2*f - 13, 4*u - 2*f = 2*u + 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven halves of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(539) + 2)*-4.\nAnswer: -28*sqrt(11) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -4 - -2) + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19\/((-95)\/(-100))*1. Let u be ((4\/(-1))\/(-4))\/(4\/w). Suppose -4\/3*s**2 + 2\/3 + 2\/3*s**4 - 2\/3*s**3 + 1\/3*s + 1\/3*s**u = 0. Calculate s.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49968 and 57801872?\nAnswer: 5552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 280\/429 - -2\/143. Let h = -371 + 371. Which is the third biggest value? (a) h (b) q (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 8 = 5*o, -2*o = -y + 150. Suppose 3*b + y = -5*v, -b + 0*v - 49 = 4*v. Round b to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**4 + 794972*t**3\/3 + 264986*t**2\/3 - 176660*t = 0?\nAnswer: -132495, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000110011010101011111 - -10?\nAnswer: 1000110011010101100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 52 + 16 - 127 + 14*p + 22 + 21.\nAnswer: 14*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*u**6 - 1276*u**2 + u**6 + 1272*u**2 wrt u?\nAnswer: -480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 - -49.0085. Round g to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 3784*z**2 - 45856*z - 122624.\nAnswer: 4*(z - 958)*(z + 4)*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.098 in 2\/3, -0.2, 8.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13)*-1*-3 - (0 + sqrt(13))*1 - ((sqrt(325) + -3 - sqrt(13)) + 1))*1*5)**2.\nAnswer: -200*sqrt(13) + 1400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 108922689?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**5 + 45*l**4 + 130*l**3 + 90*l**2 - 135*l - 135 = 0. Calculate l.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100012 (base 3) to base 6.\nAnswer: -1052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-35))\/(102\/(-21))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 3*f - 3*f)*(-88*f - 97*f + 25*f) - f**2 + 3*f**2 - 3*f**2 + 6*f**2 - 2*f**2 - 3*f**2 + (-3*f + 2*f + 3*f)*(0*f + 4*f - 2*f).\nAnswer: -316*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*w + 5*w - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 261 and (0 - 2)\/((-40)\/4640)?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 3*u - 27. Let r = u - 34. Let h be 28\/(-42) + 2\/r. Let m(c) = -5*c**3 + c**2 + c + 1. What is m(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 670*u - 645*u + 6 - 6.\nAnswer: 25*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 8, 11563*y - 11564*y = -4*c + 76 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6863 - -16692. Suppose -3*l = -2*a + 9847, -h = -2*a - 2*l - l. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 206, 469, 894, 1475, 2206?\n\"Answer: -j**3 + 87*j**2 + 9*j + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 2 (c) 5.4 (d) 17 (e) -2\/5 (f) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 2 + (4 + 0 - 3)*(-3 - 2 + 4) + 2 + 2 - 3)*(-47*g - 33*g + 9*g) + 7*g - 2*g - 4*g.\nAnswer: -212*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -133682 >= -133699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n + 6*n**2 + n - 97*n**3 + 99*n**3 to the form j*n**2 + b + q*n**3 + u*n and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 617996207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/585 + (-10)\/65. Let t = -1 + 0.8. What is the closest to -1\/2 in t, -1\/6, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 396 = -423*a + 387*a, 0 = -2*s + 17*a + 187 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*h + 2*i - 4, 3*h - 6 = -3*i. Suppose 27*a = 20*a. Solve -k = -a*k - h for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 8*d**2 + 9*d - 12. Let y be h(-6). Suppose -5*o + 9 + y = 0. Solve 0*i = o*i - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -766314132+-683\nAnswer: -766314815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 6*f**2 + 7*f - 5. Calculate z(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*d**5 - 4441*d**4 + 4*d**3 - 1761083*d**2 - 8*d wrt d?\nAnswer: 360*d**2 - 106584*d + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 233295 divided by 151.\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 8*d**2 + 217*d + 2. Let i(v) = -11*v**2 - 227*v - 4. Determine 4*a(y) + 3*i(y).\nAnswer: -y**2 + 187*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1524 + -4636. Is 1\/(-4) - z\/32 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.449703 rounded to 2 dps?\nAnswer: 57.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 26*y**2 + 47*y - 30. Let k be u(-24). Let i be (k + -2)\/72 - (-11)\/(-63). Let o = -162\/97 - -1\/291. What is the nearest to o in 0, i, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 242680 - 242676. Let j(n) = 2*n**3 - 7. Let m = 10 + -6. Let r(g) = 0*g + m - g**3 + 0*g. Give f*j(w) + 7*r(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - -1 - (-6 + 4). Suppose u - 3*m + m - 13 = 0, -y*m - 31 = -2*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -w**2\/2 - 135. Let m(z) = 17*z**2 - 3*z. What is g(m(x))?\nAnswer: -17*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*w - 1703*w + 21*w.\nAnswer: -1746*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*k, -167*c + 166*c = k - 1247. Is 70 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19376 and 519?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -18013 + 8998 - 3*m**2 + 9006 + 2*m**2 - m**3 + 6*m**2. Calculate r(6).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.272 - 17.272. Which is the third biggest value? (a) 1\/6 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18654 + 6796 = 507*s - 5590 + 18575 for s.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 68*a**2 - 275*a - 19. Determine b(-4).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 1 = 1. Let t be 2\/(2\/(-3)) + h. Let o(x) = -6*x + 2 - 2*x**2 + 1 - 4. Give o(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/2))**(-22\/9) assuming p is positive.\nAnswer: p**(11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2499493077 to the power of 1\/2, to the nearest integer?\nAnswer: 49995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135525?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 5*h**2 - 2*h - 3. Calculate g(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 20 = -4*l, -3*p - 3*l + 0 = -15. Let a = 2 - p. Suppose -a*i - 46 = -4*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 5*v**2 + 7*v - 3. Let k be -3 - 1\/1 - (15 + -13). Calculate x(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -46*n - 21. Let g(p) = -33*p - 15. Let a(w) = 7*g(w) - 5*t(w). Let l(r) = -10*r. Calculate -45*a(u) + 4*l(u).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 11*u**2 + 3*u - 17. What is the units digit of s(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27169.22 to the nearest ten.\nAnswer: -27170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176214 and 2451?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 2*s**2 - s + 1. Let f(y) = 4*y + 1. Let g be f(1). Suppose 3*x - g = -11. Let l be k(x). Solve -l*p - p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157419931.\nAnswer: 277, 568303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5073 + -2993?\nAnswer: 2080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10491047?\nAnswer: 7, 251, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -4*l + l - 14*n, -2*l + 4*l + 5*n = -4 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/108)\/(9\/(20979\/(-14))))\/(12\/16)?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 1. Let u(a) be the second derivative of -5*a**3\/3 - 17*a**2\/2 + 3*a. Let q(y) = -6*s(y) - u(y). What is the first derivative of q(m) wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25915657 to the nearest integer?\nAnswer: 5091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r. Suppose 5*b - 24 = -2*s, 3*s = -3*b + 10 + 8. Let v(f) = 31*f**2 - 18*f**2 - 15*f**s. What is o(v(k))?\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 34. Let o(n) = -552*n - 25. Determine o(m(s)).\nAnswer: -552*s**2 + 18743","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 543543 and 1680?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/((v**22\/v)\/v*v))\/v)\/v)\/(v*v*v**(-25)*v))\/(v\/v**(-4\/7)*v)**(-3) assuming v is positive.\nAnswer: v**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 15.848\nAnswer: -1.5848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -25. Suppose 0 = u - 2*b, f*u - 1 = 3*b - 0*b. Suppose o = i - 7, 5*o + 18 = u*i + 2*o. Solve -4*r + 7 = z, -2*z - 4*r = i*z - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 8. Let i(j) = -4*j**n + 5*j**3 - j + 8*j**2 - j. List the prime factors of i(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3582)\/(-100296))\/((-6)\/360).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4858 - 5848 = -1840*y + 2174 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*a**3*j**3 - 3760579*a**3*j - 88172196*j**3 wrt a?\nAnswer: -9*a**2*j**3 - 11281737*a**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*d - 8036 = 0, 3*t - 3*d - 5316 = 6780. Suppose 0 = 20*p - p - t. Calculate the remainder when p is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9677339?\nAnswer: 7, 1382477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kki when three letters picked without replacement from {k: 2, g: 4, i: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -55, -60, -65, -70, -75?\n\"Answer: -5*r - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, z: 10, j: 1}. What is prob of sequence jzzo?\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - m + 4042, 6*k - 6722 = k + 2*m. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52839*v**4 - v + 4313 wrt v?\nAnswer: 634068*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37103122.\nAnswer: 2, 7, 29, 91387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28420 and 315070?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 3*w + 30085, 5*w = -2*r + 26770 + 3317. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (-5)\/((-5)\/(-9)). Suppose -77 + 5 = 4*s. Let v = c - s. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1655\/34 greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1*f)**(3\/16)*f\/f**(-1\/4)*f*f*f*f\/f**(-1\/17)*f*f assuming f is positive.\nAnswer: f**(1045\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -7*n**5\/5 + n**4\/3 + 11*n**3\/6 - 32*n**2. Let d be f(5). Let p = d + 4475. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/5 - 4*y**3\/5 - y**2\/5 + 4*y\/5.\nAnswer: y*(y - 4)*(y - 1)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 26*f**3 + 813*f**2 - 856*f + 5. Let q(u) = 31*u**3 + 813*u**2 - 856*u + 6. Let k(r) = 5*q(r) - 6*w(r). What is the second derivative of k(v) wrt v?\nAnswer: -6*v - 1626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 8958.\nAnswer: 3583.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 8 = 0, 16 = 2*u - j + 2*j. Let g(o) = o**2 - 8*o + 7. Let v be g(u). What is the second derivative of v*n + 2*n**4 + 2*n + 0*n**4 wrt n?\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/6 and 76\/57981.\nAnswer: 115962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -1. Let i = -6.99944 + k. What is i rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68554941 by 3.\nAnswer: -22851647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2334, -2317, -2300, -2283?\n\"Answer: 17*v - 2351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3768163*u**3 + 727017?\nAnswer: 11304489*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.96070294 rounded to 3 dps?\nAnswer: 9.961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3693 + -3687. Solve s + 0*s = u for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 60\/14 + ((-16)\/7 - -2). Suppose -3*m + 3*t - n = -34, 0 = -4*t + 8. Suppose -2*l = 2*l - m, 0 = 3*v + 5*l - 9. Which is bigger: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 = -4*v, 0 = -0*v - 5*v. Find the common denominator of 4\/(-16)*286\/(-3) and (-82)\/(-14) - (-2 + w).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 2:36 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -33647?\nAnswer: -4\/33647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is c62022 (base 15) in base 13?\nAnswer: 1c4c078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38556 divided by 5.\nAnswer: 38556\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65616?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193501 is divided by 64490.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 38?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15332 (base 8) to base 16.\nAnswer: 1ada","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 6.8, -1.3, -0.1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q - 5*q + q. Does 3 divide m(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5*k*k*k\/k**2)**(-1\/36) assuming k is positive.\nAnswer: k**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 67 = -11. Let b(y) = n*y - y + 3*y. Let u(v) be the third derivative of v**4\/4 + 9*v**2. Calculate u(b(w)).\nAnswer: 36*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f + 2*f)*(-2 + 0 + 0)*(-3 + 2 + 0) - 4*f + 5*f + f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 507620 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, f: 1, i: 2, g: 3}. Give prob of sequence fei.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-247)\/(-14) - (-14)\/(-98) and 37\/68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/10 (b) 2326 (c) 2 (d) 3 (e) 1 (f) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, q: 1, u: 1, f: 1}. Give prob of picking 1 u and 2 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*y**2 + 6831*b*y - b + 10*y**2 + 4033*y - 2 with respect to b.\nAnswer: 2*y**2 + 6831*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 294.02 - 291. Let r = v - -0.48. Let q = -3.7 + r. Which is the closest to 0.2? (a) q (b) -0.04 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -334448711*l**2*y - 70236412*y + 2 wrt l?\nAnswer: -668897422*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 3*z + 3\/2*z**2 + 406. Let q(i) = i**3 - 5*i**2 - 5*i - 1. Let h be q(6). Give r(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 - 55*f - 66. Let d be r(29). Let k(t) = 37*t - 87. List the prime factors of k(d).\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 27*z**2 + 27*z - 26. Let x be m(-28). Solve d = -d - 2*f + 2, -5*d = -x*f + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 7 - 1 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23914*i**3 - 3*i + 2448452 wrt i?\nAnswer: 71742*i**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63810 and 1470?\nAnswer: 3126690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8385617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -362*l**4 - 2041*l + 1897. Find the first derivative of a(h) wrt h.\nAnswer: -4344*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 653, -1 in decreasing order.\nAnswer: 653, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 9) to base 10.\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1474661?\nAnswer: 83, 109, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, o: 3, a: 2, l: 2}. What is prob of sequence al?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 31*r**2 - r - 2. Let u(x) = -x**3 + 2*x**2 - x + 1. Let y be u(2). Let l be z(y). Let o be 4 + 0 + l\/2. Round o to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3084*s**2 - 1855*s**2 - 2031*s**2 - s)*((-1 + 1 + 2)*(s - s**2 - s) - 4*s**2 + 0*s**2 + 3*s**2).\nAnswer: 2406*s**4 + 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - t - 4. Let j(u) = -3 - 3 + 5 + 2. Let f(d) = 4*j(d) + x(d). Calculate f(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 5\/2*(-1540742)\/(-835)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -126*b - 54*b**3 + 25*b**3 + 6 + 2*b**4 + 31*b**3 - 4*b**2 - 8 to p + c*b + m*b**2 + w*b**4 + a*b**3 and give c.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**4\/18 - b**3\/9 - 2*b**2\/3 + 6*b. Factor f(k).\nAnswer: 2*(k - 2)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3013602107.698\nAnswer: 3013602106.698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067471435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6268 = 5*n + 207*k - 206*k, -5*n + 6277 = 4*k. What is the remainder when n is divided by 414?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25465088*l**2 + 13387232.\nAnswer: 50930176*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v**(-6)*v)*v*v*v*v)\/(v*v*v\/(v\/(v**1*v*v*v)*v)*v*v)*(v**(-2))**(-2))**50)**(-1\/14) assuming v is positive.\nAnswer: v**(-200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + -0.8. Let b = -5.3 - -3.3. Do b and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 24380, -1.1, -8, 2\/5.\nAnswer: -8, -3, -1.1, 2\/5, 24380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 0*x - 3 - 2\/3*x**3 + x**2. Find the second derivative of g(c) wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 29*g**3 - g**2 + 2*g - 1. Let i be p(1). Suppose 4*v - 3*l = -59, 0 = 3*l - 1 - 2. Let f = v + i. Calculate the greatest common divisor of f and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 divided by -164.\nAnswer: 55\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1392 and 308304?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100221001 - 12?\nAnswer: -1100221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 179648711*u**6 + 471096502*u**2 wrt u.\nAnswer: 21557845320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 - ((-11)\/(-2) + -3)*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2. Let g(r) = 387*r**2. Calculate i(g(s)).\nAnswer: 299538*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Let c(g) = -g**3 + 8*g**2 - g + 11. Let i be c(8). Which is bigger: i or f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 12 + 4374*k**3 - 3 + 3*k + 7*k + 7*k**2. Let b be g(-7). Round b to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + (-14 - -2) + -4 + 6?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*a - 6, 0 = 2*x + 3*a + 1 - 4. What is the remainder when 76 is divided by (-14)\/21 + 80\/x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/144 and 19\/108.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -384*k - 2. Is u(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(2)*-4 + 1) - 1*sqrt(18)\/(sqrt(324)*-2))**2*3.\nAnswer: -49*sqrt(2)\/2 + 2473\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/16))\/q*q*q\/(q\/((q\/(((q**22\/q*q)\/q*q*q)\/q*q))\/q*q))*(q\/(q**(2\/31)\/q))\/(q*(q\/(q*q**(-5)\/q*q))\/q) assuming q is positive.\nAnswer: q**(-11967\/496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*s = -773, -3*s = -3*p - 6*s + 2394. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3630*x**3 + 53*x**2 + 2.\nAnswer: 21780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 16) to base 4\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3151955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k + 135 = -7*k. Let s(q) = 302*q**2 + 11*q - 2. Is s(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49467 and 352?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 9:47 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 h when four letters picked without replacement from hhndhpdppdhh.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*p**2 - p**2 - 2*p**2 + 2*p**2 + (-p - 2*p + 2*p)*(-p - 2*p + 4*p) + p**2 + 2*p - 2*p + (0*p - p - p)*(0*p - 3*p + 5*p).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2185*m - 88592 = -1401*m for m.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 6*d**2 + 4*d - 2. Let z be m(-3). Let n = -10 + z. Let q(y) = 2*y**2 - y + 3. Let w(h) = -3*h**2 + 2*h - 5. Determine n*w(g) + 5*q(g).\nAnswer: g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 250, 254, 254, 244, 218, 170, 94?\n\"Answer: -k**3 + 4*k**2 - k + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7 - (9\/3 + -4). Calculate the least common multiple of 2*1\/(t\/(-33)) and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 81. Suppose -12 = 3*l - 51. Calculate the remainder when j is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-28))\/(1*(-4)\/16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (3 + 1 - 2). Let x be v\/(0 + (-8)\/12). Suppose -5*d + 126 = -2*m, 0 = 5*d - x*m - 106 - 18. What is the remainder when d is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)*-3*-6)\/(sqrt(243)*-4).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-55)\/(-5))*(-14)\/((-70)\/(-25))?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 + 68. Suppose 0 = x*j - 1172 + 268. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 291468 and 2247.\nAnswer: 2040276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 6:04 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 g when three letters picked without replacement from {o: 9, d: 3, q: 1, g: 5}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -32. Let w be (-17)\/(-22) - (s - (-35)\/14). Which is smaller: w or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, c: 6, b: 4}. Give prob of picking 1 b and 1 y.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*((-3*sqrt(13))**2 + 5 + -6*(0 + sqrt(13))) + 2).\nAnswer: -4404 + 216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence it when two letters picked without replacement from ithii?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165105 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 + 46*k + 2. Let x be u(23). Suppose x*a = 6*a - 1476. List the prime factors of a.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 712*j**3\/3 + 51*j**2 + 190*j. What is the first derivative of p(b) wrt b?\nAnswer: 1424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/8 + (-1)\/28. Let u = -0.9 + -0.1. Let y = 0.5433 - 5.5433. What is the closest to h in y, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 11*b**2 + 3*b - 26. Determine s(5).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1244 and -57220.524747.\nAnswer: -55976.524747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7879 is divided by 57?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -29\/2 (b) 3 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -18*v**4\/5 + 158*v**3\/5 + 648*v**2\/5 + 568*v\/5 + 96\/5 = 0.\nAnswer: -2, -1, -2\/9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*w**4 - 83670*w**2 - 126*w + 94767978 wrt w.\nAnswer: 8*w**3 - 167340*w - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -12 - ((-175)\/77 + -4)?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15, -24, -11, 30, 105?\n\"Answer: i**3 + 5*i**2 - 31*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5870.18 rounded to the nearest ten?\nAnswer: 5870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5 - 1 = 2*d, -5*p = -5*d - 20. Suppose 0 = p*w - 3*n - 467, 3*w = 5*n + 430 - 66. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 20004516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -2291\/280?\nAnswer: -2291\/280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 433*j - 36592. Give l(-65).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 33*t**2 + 6*t - 50. Let y be l(33). Calculate the highest common divisor of 60 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7180110 * 9\nAnswer: 64620990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -210, -1085, -2582, -4707, -7466, -10865?\n\"Answer: -w**3 - 305*w**2 + 47*w + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-76)\/(-475)*(-95)\/(-38). What is the third smallest value in a, 3, -5157?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 0.11, 0.3, 1\/4?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-26)*5\/(-15). Sort g, 4, -4 in decreasing order.\nAnswer: 4, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3212596 to two dps.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-403 - (4 + -2)). Let o be 62\/t - (-106)\/182. Which is the closest to -0.2? (a) -3\/2 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 - 60.19. Let j = -2560 - -2562.01. Let k = j - p. What is k rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4168\/8475 - 4\/339. Let s(r) = -294*r + 9995. Let a be s(34). Which is bigger: j or a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -19.4. Is j >= 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 5, 0.026, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -11*u**3 + u + 2. Let x be p(-1). Suppose 52 = 4*h + x. Solve h = 2*d, 4*l = 2*d - 0 - 26 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25109 is divided by 1059?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1478, 2432, 2864, 2774?\nAnswer: 2162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(672) + sqrt(672)*1)\/sqrt(12))\/sqrt(8).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v = -6. Let k = -223\/18 - 235\/9. Find the common denominator of k and ((-9)\/24 - 2)\/v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**4 + 264*c**3 + 1750*c**2 = 0.\nAnswer: -125, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lly when three letters picked without replacement from ylylyypylpylyppll.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -16*o**6\/15 + 41*o**5\/10 + 2771*o**2 + 7397*o. Find the first derivative of c(p) wrt p.\nAnswer: -128*p**3 + 246*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 305977?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r**(1\/3)*r)\/r))\/r)**(-28)\/(r*r\/(r\/((r*r**2*r)\/r*r*r)*r))**(2\/11) assuming r is positive.\nAnswer: r**(278\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 3 = -t. Let c(d) = 7*d + d**3 - 42*d - 4 + 29*d. Let k(o) = -2*o**3 + 7*o + 5. Give t*c(i) - 4*k(i).\nAnswer: 3*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 276*r**2 + 11000805*r - 119574.\nAnswer: 3*(r + 39858)*(92*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2429936?\nAnswer: 2, 151871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3)*(-27)\/2. Let c(p) = -2*p - x*p**2 + 7*p**2 + 4*p**2 + 4*p**2 - 3. Calculate the remainder when c(3) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/7, -4, 574295?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 87775 and 40604715.\nAnswer: 203023575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b + 120 = 21. What is the tens digit of ((-30)\/b)\/(4*1\/66)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11c04 (base 15) to base 4.\nAnswer: -31312000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 12:34 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/108 and 14810\/(-780) + (-4)\/(-26) + -6.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 26*c + 46. Let i be m(17). Find x, given that -75*x - 58*x + 3*x**2 + i*x - 67*x = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-30) - 1239\/(-15). Let o = 18 + a. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by -71*2\/(-10) + (-16)\/80.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 24. Let v(b) = -b + 24. Let s(o) = 5*j(o) - 4*v(o). Let u(i) = -3*i**2. Determine s(u(t)).\nAnswer: 3*t**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o + 13. Suppose -2*d - 6 = 0, -5*m + 0*d + 5*d = 70. Let v = m - -24. What is the units digit of l(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1531 + -1439)*(6\/(-16))\/(9\/(-12))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -173047 - 48?\nAnswer: -173106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 5, -8, -28?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-25)\/(-5) + (2 - 4). Let c be 4\/r*(328\/40 - 9). Suppose 3*m + 2 = 2*m. Is c less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 3 (c) -0.4 (d) -28 (e) -0.2 (f) -1271\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - x - 6. Let h be -6*(14\/(-3) - 512\/(-128)). Sort h, x, -42 in decreasing order.\nAnswer: h, x, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 2) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7000906 and 374.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (12 + 4)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**10*v*v*v)\/v)\/(v*v*v*v**(-1\/3)*v*v)*v\/v**(-1\/5)*v**(-4\/7) assuming v is positive.\nAnswer: v**(836\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r. Let h(y) = -23*y. Let l(q) = 6*h(q) + 34*z(q). Let v(p) = 16*p. Determine l(v(c)).\nAnswer: -32*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4\/1107587?\nAnswer: -4\/1107587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 3, 117, 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 227, 31, 1, -5 in descending order.\nAnswer: 227, 31, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 15*d**2. What is the tens digit of x(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -7272.\nAnswer: 5\/7272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 7*x + 2 = 0. Put 5, x, 4 in decreasing order.\nAnswer: 5, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375186 to the power of 1\/2, to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2*f + 23, 0 + 30 = d + 5*f. Let v = d - 15. Solve 4*z + 5*a + 6 = 26, 4*a = -2*z + v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296 - c - 296.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 0. Let s be o\/(3\/6*46). What is the smallest value in 0.4, s, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 0.1, 857, -1, -1.6, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b64 (base 15) to base 5\nAnswer: 40234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 3*m**2 - 1. Let y(l) = -3*l**2 + l + 2. Let x be y(-1). Let h be 0 - (-2 + 3 + (x - 1)). Calculate z(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/56*-7)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 9:12 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 5:36 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 + 340?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-162)\/(-1053) + 256\/26?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 753*c + 24. Is w(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 10. Let t be o(15). Let n = -1.5 + 2. Sort t, -1, n in ascending order.\nAnswer: t, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 60130 and 78.\nAnswer: 4690140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9097.305 millennia?\nAnswer: 90973.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5711*c**2 + 79953*c + 16. Give v(-14).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(-12))*k**(-5\/9)*(k**(-19))**29)**39 assuming k is positive.\nAnswer: k**(-65936\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -4. Let y = 122 + -108. Solve 2 - y = n*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -507*z**6\/100 - 26*z**5\/5 + 49*z**4\/20 - 2*z**3\/5 - 89*z**2. Determine h so that x(h) = 0.\nAnswer: -2\/3, 1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 36*s + 1. Suppose -2*o - 10 = 3*j, -3*o = -2*j - 13 + 2. What is the remainder when r(o) is divided by (-29)\/(-3) - (-3)\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, i: 2, h: 3, w: 8, v: 1, b: 1}. What is prob of sequence hi?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -2*a**7\/105 - a**3\/2 + 5*a**2. Find the first derivative of h(f) wrt f.\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 + 8960\/112 - (-2 + (-460)\/4)?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*d = -41 - 260. Suppose 7*z = d*z - 5*z. Solve 2*w = -3*l - z*w - 15, 2*l - 3*w = -10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 9:04 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t - 21*t - 49359 = -4*x, -t = 3*x - 9874. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2 + 926*b - 52403. Determine j(397).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2204030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8575491 to the nearest integer?\nAnswer: 2928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3330961 or 3330966?\nAnswer: 3330961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.076242 centuries in months?\nAnswer: 4891.4904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 6:50 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1269290 is divided by 35122?\nAnswer: 4898","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(-3*f**3 - f**4 + 3*f**3) + (-3*f**3 - 11*f**2 + 11*f**2)*(-f + 5*f + f)*(4 - 6 + 3).\nAnswer: -17*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 41169310 rounded to the nearest one hundred thousand?\nAnswer: 41200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + (sqrt(21)\/sqrt(3) + sqrt(7) - sqrt(7))**2*-1) + 4*(sqrt(77)\/(sqrt(11) + -2*sqrt(176)))**2.\nAnswer: -80\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5945418, -5945421, -5945424, -5945427, -5945430, -5945433?\n\"Answer: -3*p - 5945415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 954535 is divided by 2550.\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6353687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v + 89 + 31 = 0. Let t(s) be the third derivative of 0 + 0*s**3 + 0*s**5 + 0*s + 8*s**2 + 1\/40*s**v + 0*s**4. Suppose t(m) = 0. Calculate m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, e: 2, a: 2, c: 2, l: 1}. Give prob of sequence aape.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 + -56. Let c = -4.87 + -0.13. Sort u, -0.5, c.\nAnswer: c, u, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435230 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u + 3*u - u + (1 - 1 + 2*u)*(0 + 1 - 2) + 2*u + 0*u - 15*u.\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 5*f**2 - 5*f + 4. Let o be p(5). Let c be 6\/8 + o\/12 + 2. Solve -c = -y - 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -917.033 rounded to the nearest ten?\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 6*i**2 + 199*i - 39. Give p(-20).\nAnswer: 1581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -5*h + h. Suppose 5*p - h = -p. Calculate the least common multiple of p and (-1)\/(-3)*(-6)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, m: 4, i: 11, y: 1}. What is prob of picking 1 d and 2 i?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/17610 and -17\/45786.\nAnswer: 228930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (0 - 0) - (125 - 135).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5*a - 1169, 314*a - 1486 = 5*r + 312*a. Which is bigger: r or -291?\nAnswer: -291","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + -22. What is the remainder when b is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5d8a4a + 49?\nAnswer: 5d8a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76907\/6 - 12819. What is the biggest value in 4, 0.1, -2\/7, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 9*p + 1. Let i(l) = -19*l - 2. Let k = 740 - 727. Give k*r(s) + 6*i(s).\nAnswer: 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from mmmf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.769 and -6.\nAnswer: -4.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 10) to base 12\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16, 41, 68, 97, 128, 161, 196?\n\"Answer: n**2 + 22*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/481191?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*h**2 + 889*h - 27*h**6 + 23*h**2 - 30*h**2 + 18*h**5 wrt h.\nAnswer: -3240*h**3 + 1080*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50109.6g in nanograms?\nAnswer: 50109600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/54540740?\nAnswer: -1\/54540740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.6 from 1093899.\nAnswer: 1093895.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24586 divided by -134.\nAnswer: -12293\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43542273 is divided by 43542260.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -238 + 237.5. What is the third smallest value in 1.7, v, -5?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5504 and 384.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 348306.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/4)\/1)\/(-1 + 525\/30).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31178601.\nAnswer: 3, 19, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22975?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*r - 2*r + 2*r + (-20*r - 6*r + 5*r)*(-1 + 1 + 1).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -431.435412 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 8189*g + 246. Let l be p(-4). Round l to the nearest 1000.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, 1, -9, -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 3367.\nAnswer: 1346.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q - 5. Is s(-5) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 82882 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -21. Suppose p = 5*l - 2*d - 3, -5*l = 3*d - 5. Let h = -2 - -1. Is l at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -17. Let m = 20 - 17. Which is the closest to 1\/3? (a) m (b) -0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 4:03 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-156))\/((-3910)\/7038)?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 786810, 1573617, 2360424?\n\"Answer: 786807*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 6*k + 4. Let t be h(6). Suppose t = q - 2. Suppose 2*i + 8 = 2*j, -q*i - 4*j - 8 = -4*i. Sort 0, 2, i in descending order.\nAnswer: 2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432*q = 582*q - 3450 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(9072)*3 + sqrt(9072) + -4)**2 - (sqrt(63) + sqrt(63) + -3 + 0 - sqrt(252)\/(-4*sqrt(4) + sqrt(4) + sqrt(4))).\nAnswer: -4623*sqrt(7)\/2 + 145219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 75*r - 72*r. Let j(m) = 24*m - 12*m - 15*m. What is j(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**2 - 2 - 2*y + 1 + 2. What is the remainder when o(-3) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -482751*a**3 + 182*a + 91897498 wrt a?\nAnswer: -1448253*a**2 + 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8184890 less than -59?\nAnswer: 8184831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 1 - (16 - (4 + 13)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.4, 5, -2, -1\/16?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*u + 21, 2*u + 4*i - 8*i = 22. Let t(l) = -6 - l**2 - 9*l + u + 0*l**2 - 3. What is t(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20539 is divided by 347.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73930 is divided by 5696.\nAnswer: 5578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/480 and 3\/80.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 10 - (-1 - 7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4284, 8567, 12852, 17139, 21428, 25719?\n\"Answer: k**2 + 4280*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -156244*o + 144. Let f be t(-24). Round f to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06 + -0.04. Let d = -5698 + 5694. What is the nearest to j in -2.4, -1\/5, d?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9393 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**4\/36 + 7*f**3\/6 - 10*f**2\/3 - 50*f. Factor b(x).\nAnswer: -(x - 20)*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -115 + 115. Suppose -4*d + 36 = -i + 3*i, l = -d + 3*i - 5. What is the least common multiple of d and 12\/20 - 37\/(-5)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1053446 is divided by 263361.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -30\/73, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v - 5 + 6 - 6. Let z be ((-84)\/39 - -2) + 384\/(-39). Let h be 4*z*(-1)\/(-8). What is j(h)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 - 5 + 2*q**2 - q**2 - 7*q. Let i be z(-6). Is i\/4 - 99\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14955403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -14710078.76 to the nearest 1000.\nAnswer: -14710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -1604*h**5\/5 - 434*h + 1267. Differentiate p(r) wrt r.\nAnswer: -6416*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -24*h - 4. Let c = -10 + 6. Let n be q(c). Suppose -44 = -g - j, -3*j = -g - 36 + n. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -110, -93, -58, 1, 90, 215, 382?\n\"Answer: v**3 + 3*v**2 + v - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.235 times 0.3?\nAnswer: -0.0705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 1 = 0, -2796*n + 2800*n = -2*v - 14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, w: 2, l: 1, a: 1, s: 7, p: 1}. Give prob of picking 2 z.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2 (b) -1\/4 (c) 1563647 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 275123492 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**4\/8 - 395*c**2. Let y(p) = -13*p + 6. Give y(s(j)).\nAnswer: 39*j + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/318864 and -87\/7592?\nAnswer: 318864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -11*a**4 + 7*a**3 + 79*a**2 + 80*a + 32. Let n(h) = 5*h**4 - 4*h**3 - 39*h**2 - 40*h - 16. Let u(t) = -6*l(t) - 13*n(t). Suppose u(r) = 0. What is r?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4375 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 2*y)*(-23 + 43 + 15)*(-3 + 7 - 43) to i*y + b and give i.\nAnswer: -2730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.071 * -77.\nAnswer: -5.467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 69644*w**4 - 47 + 155 - 3*w**2 - 69654*w**4 wrt w.\nAnswer: -40*w**3 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/4 - 13065*n\/4 - 418275\/2.\nAnswer: -3*(n + 65)*(n + 4290)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -48751b (base 12) to base 11\nAnswer: -7320a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * 65570.\nAnswer: -3278.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1185338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.10852 + -0.89148. Let h = -4 + 7. Which is the nearest to x? (a) -18 (b) -2 (c) h (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69047028.4 rounded to the nearest 1000000?\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 40 = 5*w, 0 = -0*w - 2*w - 5*g + 49. Suppose 4*m = w, s - 3*m = -2 - 7. Let z = -1 + s. Which is the smallest value? (a) 0.3 (b) 1\/2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-15))\/c)\/c)\/(c*c*c*c**(-6)\/c*c) assuming c is positive.\nAnswer: c**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 5*y + 3*b, b = -5*y - 0*b + 78. Suppose l - v - 5 = 0, -2*l = l + 4*v - y. Suppose -2*g = 0, 0*a + l*g + 10 = 5*a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2119610 to the power of 1\/2, to the nearest integer?\nAnswer: 1456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahhhlajhahaaaaal. What is prob of sequence la?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjrgrrjg. Give prob of picking 2 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -811.9 + 936. Let z = h + -124. Which is the second smallest value? (a) -0.4 (b) -0.5 (c) -4 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.50106l in millilitres?\nAnswer: 42501.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 695, 2258, 5309, 10346, 17867, 28370, 42353?\nAnswer: 60314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/401 and 22\/9?\nAnswer: 3609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 603220?\nAnswer: 2, 5, 30161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**3 + s**2 - 12*s = 0.\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 2*d + 0*d - 15*d - 2*d.\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2607 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000012351 rounded to seven dps?\nAnswer: 0.0000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000145889 to seven decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1573 = -4*j - 5*d, -3*j - 4*d - 1043 = 138. Let b = j - -390. Solve -4 = -q, -b*f + 4*q = 1 + 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 4 (c) 0.13 (d) 3 (e) -0.4 (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, n: 3, h: 4}. What is prob of sequence hnhn?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -529, -587, -645, -703, -761?\nAnswer: -819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**4\/4 + a**3\/3 + 99*a + 1. Suppose 2*c - c = -3*c. Let v be i(c). Calculate the greatest common factor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 27280?\nAnswer: -545.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**2 - 5*q + 13. Let a(g) = -2*g**2 - 3*g + 6. Calculate -13*a(b) + 6*w(b).\nAnswer: 2*b**2 + 9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 3228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (-5 - 3\/3). Suppose b - 4 = -t, -3*t - x*b + 2 = -6*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v - 3*v - 2*v)*(4*v**2 - 8*v**2 - 10*v**2) + 2*v**3 - 4*v**3 + v**3 + 3*v**3 + 2*v**3 - 3*v**3 to p*v**3 + l*v**2 + m*v + i and give p.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11386.\nAnswer: 2, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0 = -18. Suppose w*v - 20 - 4 = 0. Let h = -4 - -6. Sort -4, v, h in descending order.\nAnswer: v, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -18. Let u be (2\/(-6))\/(w\/(-7893)). Let z = u - 606. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.1. Let n(b) = -b**3 - 7*b**2 - b - 5. Let y be n(-7). Suppose -2*i + 0 - y = 0. What is the closest to w in 0.1, 2\/11, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 4*o + 20, -7*o + 50 = -17*o for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65019943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 + 0 - y - 4 + 5. Let p be j(1). Calculate the remainder when 22 is divided by 0 + (0 - p - -10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d\/(d*(d\/d**(-3))\/d*d))*d)\/d*d**(-13)*d*(d**(-1\/4))**(-34))**(-2\/127) assuming d is positive.\nAnswer: d**(-5\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -2828\/243465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 + 16*t**2. Let l be h(8). Suppose -4*n - 7*n + 22 = l. Let m be n\/6*0 + 2. Round m to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2919 + -20434\/7. Let q = -4.6 - -5. Which is the closest to -1\/2? (a) -0.3 (b) q (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, v: 2, h: 2}. What is prob of picking 2 s and 1 h?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26293884 by 3.\nAnswer: 8764628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**6\/120 + r**5\/16 + r**4\/8 - r**3\/6 - r**2 + 18*r. Factor h(t).\nAnswer: (t - 1)*(t + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*c + 25. Let r(z) = -z**3 - 5*z**2 + 5. Let a be r(c). Suppose -a*j + 8 = -3*j. What is the highest common divisor of 36 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 38.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 1. Let n(f) = 15*f - 8. Let x(u) = n(u) - 6*p(u). Does 23 divide x(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (124\/30*-3)\/(489\/2445)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2818*q + 5690 = 128*q + 162*q - 12006 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4\/(-8))\/((15\/656)\/(-15)) is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*w = -343317, 120*b - 2*w = 119*b + 114433. What is b rounded to the nearest one hundred?\nAnswer: 114500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 12920110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by (4 + -3)\/1 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 8 = -16. Let j(d) = 7 - 3 + 13 + d. Let v be j(-5). What is the greatest common divisor of v and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3403727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38197311?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1377) - (0 + 2*sqrt(1377)))**2 + -3).\nAnswer: -2748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.3499629 rounded to one dp?\nAnswer: -47.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-450)\/180)\/((-140)\/2856)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 3, 162, -4, 5, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 864179?\nAnswer: 23, 37573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -5*z**2 - 1416830*z - 100370362445 = 0.\nAnswer: -141683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 217*m**3 - 88*m**3 - 1636*m**3 + (3*m + 0*m - 2*m)*(0*m**2 + 3*m**2 - 4*m**2).\nAnswer: -1508*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-5) + ((-273)\/(-1755))\/(7\/102)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.3 - -12.3. Let g = i + -14. Let c = g + 2.999965. What is c rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 i, and 2 c when four letters picked without replacement from cchyscvyssccscssvsi?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (80*s - 5*s**2 - 80*s)*(-27*s + 172 - 172) + s - s**3 - s as u*s**2 + m + w*s**3 + q*s and give w.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 11:01 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 728 is divided by 26.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 230.5797km in nanometers?\nAnswer: 230579700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.23, 0.51, 25\/399, 2.\nAnswer: 25\/399, 0.23, 0.51, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 + 2*i**3 - 23 + 4*i**2)*(0*i + 4*i - i) as k*i**3 + n*i**2 + f*i**4 + z*i + g and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9057 + -1.4057. Which is the closest to -1? (a) s (b) -4\/9 (c) -4 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**5\/10 + 301*n**4\/4 - n**3\/3 - 3230*n**2 - 1274*n + 2. Find the first derivative of i(k) wrt k.\nAnswer: 6*k**2 + 1806*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 732 - 12 = -32*f for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y. Let u(b) = b**2 - b - 2. Let i be u(2). Let l be v(i). What are the prime factors of (l - -5)\/((-1)\/(-1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, j: 2}. Give prob of sequence jvvj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -25, -71, -141, -229, -329, -435, -541?\n\"Answer: g**3 - 18*g**2 + g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 335938221 a multiple of 303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/17 < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i**2 - 2*i**2 - i**2)*(-2*i + 2*i + 2*i)*(1 - 4 + 1) + i**3 - 6*i**3 + 2*i**3 to q*i**2 + x*i + r*i**3 + f and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0\/t*t)**(-9\/7)\/(t*t\/(t**6*t*t)*t*t\/t**(-3\/5)) assuming t is positive.\nAnswer: t**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b**3 + 9*b**3 - 71 + 71 + 2*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -114 + 36 - 26\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(-3*sqrt(10)) + 2 + sqrt(75) + 4)**2.\nAnswer: 56*sqrt(3) + 304\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - y**3)*(1 + 2*y - 1) + 4*y**4 - 6*y**4 + 0*y**4 - 3*y**4 - y**4 + 3*y**4.\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/7 of a week?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11, -72, 2, 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 + -3117?\nAnswer: -3125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 921*n + 1161*n = 664*n + 49630 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 8. Let x be m(-6). Suppose -j = -x, 0 = 5*l - 2*j - 5 + 39. Which is bigger: -3 or l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 130 - 62. Let r(a) = -3*a + 3. What is the remainder when h is divided by r(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d - 98. Determine i(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.1657.\nAnswer: -0.1657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -57*853\nAnswer: -48621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 4. Let r be (27 + 3)*(-1)\/(-3). What are the prime factors of v(r)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 693*w + w**2 - 5 - 693*w wrt w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61403576 divided by 30701788?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 12:14 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 8*s - 31. Let q be h(11). Suppose 0 = -q*o - 11*u + 7*u + 780, -2*o = u - 792. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s - 4. Let m be q(-4). Let h = 357 + -321. Let o be (4\/m)\/((-4)\/h). Solve 6 + 0 = 3*i + 2*d, o*i - 5*d + 15 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 36*l = 15180. What are the prime factors of l?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6*b - 9 = -j, -3*j = -5*b + 29. Find the second derivative of 7*r**b - 3*r**2 - 15*r + 3*r**2 - 3*r**4 wrt r.\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58066, 58064, 58062, 58060, 58058, 58056?\nAnswer: 58054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12473797, 12473824, 12473851?\n\"Answer: 27*z + 12473770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, o: 4, m: 6, x: 2, n: 1}. Give prob of sequence xnmz.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407825 is divided by 135867?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10350944 to the nearest integer?\nAnswer: 3217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1499462128?\nAnswer: 2, 93716383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2 (b) -0.93 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - 702*u**2 - 78*u**2.\nAnswer: -777*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 - 1187528*a**2 - 2375072*a.\nAnswer: 4*a*(a - 296884)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49 or -38?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178394270.\nAnswer: 2, 5, 89, 200443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 181 + -137. Let j = s + -52. Sort 1, j, 2.\nAnswer: j, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -448011.\nAnswer: 5\/448011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbfbfiffibfbfbbfb. What is prob of sequence bff?\nAnswer: 49\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 417. Let g(m) = -m. Give g(v(s)).\nAnswer: s - 417","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) -7 (b) 2\/15 (c) 2\/3 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/2 - (-7)\/14. What is the third smallest value in w, -0.4, -1\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1225 = 7*o - 2*o + 1110 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 16, -4, 1\/7, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 546200 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o**3 - 11*o**3 + 4*o**3 + 5085*o - 5085*o.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 20. Let r be 2\/2*(85 + u). Suppose -3*p = -p - r. What is the remainder when p is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -280 by 4.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001549 to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.021, 5, 1\/10?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.8 + 11. Let t be 2\/4*-1*(-1)\/(-2). Which is the nearest to t? (a) 5 (b) f (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvaa when four letters picked without replacement from vvavvavvvvvvavvavvva.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 11. Let v(s) = -1 + 0 + n*s**2 - 7*s**2. Let i be v(-1). Solve 2 = -4*l - 0*l + 3*q, -i*l - 4*q = -10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**6\/6 + 24*o**5 + 485*o**4\/12 - o - 211. Let r(x) = 0. What is x?\nAnswer: -1, 0, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057)*3 + -4*sqrt(2448) + 3 + (6*(sqrt(85)*-1 - sqrt(85)))\/sqrt(5).\nAnswer: -27*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.56963 micrograms to kilograms.\nAnswer: 0.00000007056963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**3 + h**3 - 26 + 6 + 13 - 4.\nAnswer: h**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*-3 + 5 + 3)**2.\nAnswer: -288*sqrt(19) + 6220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 36 = q, -7*q + 2*q + 2*p + 65 = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*f - f + 13*f - 3*f to b + k*f and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1146031028.\nAnswer: 2, 23, 1291, 9649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 3:39 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 367, -41, -4.\nAnswer: -41, -4, 367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48391.56367772 + 48493.56368. Let k = -102 + t. Round k to 7 dps.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1613 + 1619. Let z = 41\/91 - 4\/13. Put -4, -1\/7, z, u in descending order.\nAnswer: u, z, -1\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -131886*z**3 + 131885*z**3 - 6*z**4 - 4*z + 4*z + z - 2*z**2 + 62 in the form u*z**2 + a*z**3 + q*z + w + b*z**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 957*l**5 - 6*l**5 + 220*l**5 + (-3*l**5 - 4*l**5 + 5*l**5)*(2 - 2 - 2).\nAnswer: 1175*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 0.2, -1240, 7.\nAnswer: -1240, -1, 0.2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 72*y**2 - y. Let u(s) = s + 4. Let l be u(-3). Let n be h(l). Suppose 3*r - n = -5*q, -q - 14 = -2*r + 4*q. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 7 = 377. Suppose 5*a - 54 = u. Suppose -t - a = -4*t. Solve 3*f + 5*d - t - 24 = 0, 7 = -f + 2*d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 13, -2, -4.\nAnswer: -16, -4, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*p + 24 = -194*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9683 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -76854 (base 10) in base 3?\nAnswer: -10220102110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 9 - 11)*(-2 + 2 - t**2) + 2*t**2 + 2*t - 2*t.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168844 and 103904.\nAnswer: 1350752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8869749?\nAnswer: 3, 7, 422369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 273?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 2*m**2 - 5*m)*(-2 + 4 + 0) + 3*m**2 + 3*m**2 - 4*m**2 + 11*m - 4*m**2 - 11*m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.68450048 + -6.7545. Let d = -1.73 + 1.8. Let q = d + t. Round q to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.15 or 0.2659058?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*a + 3)*(115 + 105 - 50)*(2 + 1 + 0).\nAnswer: 1020*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 - -0.5. Let t = 3.9 - -0.1. What is the biggest value in -2, k, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 4 - m - m. Let p be r(2). Which is the closest to p? (a) 1 (b) 0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 10:17 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -740?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 20085260 to the nearest 100000.\nAnswer: 20100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6924 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 56. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 26. Find the common denominator of -81\/10 and (272\/(-6) + 2\/(-3))\/j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 j, and 1 u when three letters picked without replacement from jmmuljmjmnlnljll.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 2790?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 2*b - 4. Let t be a(-3). Let k = 6 + t. Let q(i) = 8*i**3 - i. Let d be q(k). Is -7 equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -575.944?\nAnswer: -4031.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -3 (c) -6 (d) -3\/4 (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 20*r - 1142. Determine t(57).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0152 + 0.1152. Put x, 18, -2\/5, -27 in ascending order.\nAnswer: -27, -2\/5, x, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -737, -743, -727, -677, -581, -427, -203?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8\/7 (b) -5 (c) 0.5 (d) -9.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1818243?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -7*k + 2*k + 7*k - 5. Let o = 21 + -11. Is s(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 41 (b) -0.2 (c) -454.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75*a**2 - 97*a**2 + 34*a**2)*(-a + 2*a**3 + a).\nAnswer: -276*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*h + 5*u + 22, 2*u - 74 = -4*h. Calculate the lowest common multiple of h and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*-1*3 + sqrt(136) + 4*(sqrt(136) - (-1*sqrt(136) + sqrt(136))) + sqrt(136) + sqrt(136))\/((sqrt(968) - sqrt(968)*-2)*-3*6).\nAnswer: -2*sqrt(17)\/297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.6110509 to the nearest integer.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**2 + 0*u**2 + u**2)*(2*u + 0 + 0)*(-2 - 2 - 6)*(1 + 0 + 0) as l + i*u + x*u**2 + f*u**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 680 - 680. Suppose -d + f + 8 = u, -5*d - 3*f + 6 = -3*d. Solve d = -2*h + 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 1148 + 4793. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -5\/76 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 3 (c) -0.12 (d) 0.4 (e) 0.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 5*x + 5. Let t be 63\/(-14) + 2\/(-4). Calculate the remainder when z(t) is divided by -19*(2 - (-9)\/3*-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -57, 2, -22?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-5 - (0 + 0)) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3. Let t = -33 + 51. Let s(x) = 5*x + t - 34 + 0*x - 4*x. Give -2*s(y) + 11*z(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 138 and 460.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36520.85ml in litres?\nAnswer: 36.52085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(3\/(-6)) - -3. Calculate the highest common factor of u and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 10 = -70. Find the common denominator of ((-846)\/120)\/(v\/(-5)) and -73\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -40 (c) -323 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 762, 2972, 6648, 11784, 18374, 26412?\n\"Answer: -m**3 + 739*m**2 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42198 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3847 - 5*g + 3847.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137.39 - 138. Let o = 0.6 + y. Which is the third smallest value? (a) 2\/7 (b) 4\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -3 + a**3 + 3 - a. Let w(s) be the third derivative of -s**4\/8 - 73*s**2. What is b(w(k))?\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 + 1 - 4*w - 8*w**4 + 7 - w**4 + 11*w**4 as p*w**3 + a*w**4 + s + k*w + f*w**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58512 - -99625. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2634, -10558, -23760, -42234, -65974, -94974, -129228?\n\"Answer: t**3 - 2645*t**2 + 4*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -227 - -235. Suppose 2*i - 230 = -4*o, -7*o + i = -h*o + 58. What is the remainder when o is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1798, -181?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((((h*h\/(h\/h**(2\/9)))\/h*h)\/h)\/h)*h**(2\/15))**(-2\/3)\/(((h\/h**(-1\/4))\/h)**(-46)\/((h**(-6)\/h)\/h**4)) assuming h is positive.\nAnswer: h**(-209\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 361 = 3*u - 893, 2*u = 0. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + -12 + (69 - 73)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 52 - -6?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 3, -0.1, 150420?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2 + 21*b + 2.\nAnswer: 21*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6351629 a multiple of 461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -9. Suppose -z + 3 = -x, 5*z - 4*x + 0 = v. Calculate the common denominator of (z\/(-24))\/(1\/5) and -73\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*l + 1778 = -59*l - 16*l for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 34\/5 of a week?\nAnswer: 68544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-45)\/(-10) + 5)*18. Let a = 172 - p. Solve -5*q + 16 = a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 4*t**2 - 3*t + 1. Let f = -15 - -17. Let o be d(f). Let 2*j**2 - o*j**5 + 6*j**5 + j**3 - j**5 - 3*j**3 - 2*j**4 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = z - 5*z. Suppose 4*j - 41 = -5*o, -j - z = 4*o - 36. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -22. Let h = -1093.6 + 1093. Which is greater: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104482, 209294, 314108, 418924?\nAnswer: 523742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*(-3*sqrt(68) - sqrt(68)) + 1 + 2*sqrt(68) + sqrt(68))**2 + -2 + -4.\nAnswer: 368*sqrt(17) + 35982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13987*m - 13997*m - 4*q + 130, -2*q = m - 45 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4770074 and 362?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1158551?\nAnswer: 1158551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 644.496m in kilometers?\nAnswer: 0.644496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1423673431?\nAnswer: 1289, 1104479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.0941338 nanograms?\nAnswer: 0.0000000941338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -7) + 22 - (16 - -6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84866?\nAnswer: 2, 42433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61 + -334. Let v = 274 + s. Solve -4*d - v - 3 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39861 divided by -346?\nAnswer: 39861\/346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-1) + 39\/12. Let y(k) be the second derivative of t*k**4 + 0*k**5 + 0*k**3 + k + 1\/15*k**6 + 0 + 0*k**2. Find the third derivative of y(a) wrt a.\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 - 121. Is -159 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 - -30?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 12:49 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28552 and 1838035?\nAnswer: 14704280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 301 + 77 = 0. Let t(u) = u**3 + 12*u**2 + 9*u - 1. What is the lowest common multiple of ((-108)\/a)\/(1\/(-7)) and t(-11)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 161726 and 8.\nAnswer: 646904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 34, -0.11, 3, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*o**5 + 38*o**4 - 514*o**3 - 1101805*o**2?\nAnswer: -720*o**2 + 912*o - 3084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11617.\nAnswer: 11617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5136 + 4?\nAnswer: -5132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2476 greater than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**4\/4 + 8*m**3\/3 + 9*m**2\/2 + 9*m - 2. Let n be l(-7). Suppose 4*y + 3*i = -10, 0 = 4*y + y - 4*i - 34. Sort y, 5, n.\nAnswer: n, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**2 - 4*p**2 - 9*p**2 in the form f + r*p + w*p**2 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**3 + 55161*z**2 + 760656399*z - 760711561 = 0.\nAnswer: -27581, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i**3*t + 2*i**3*w - 17*i**2*w - 2*i*t*w - 2*i*w - 18*t*w wrt t?\nAnswer: 2*i**3 - 2*i*w - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1749305693 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7789 + 7842. Calculate the remainder when 177 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -5. Let g = o + 17. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*t - 2 = 0. What is the fourth biggest value in -0.1, t, -4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-10))\/(624\/(-520))\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 60, 543, -4?\nAnswer: 543","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gralygla. What is prob of picking 2 y, 1 g, and 1 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7138, -5.\nAnswer: -5, -3, 7138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*i + 30, b = -b - 10. Let l(s) = -65*s + 33*s - 2 + 31*s. Let f be l(i). Solve f*y - 5*v + 11 = 3, 5*y + 1 = -4*v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3240 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16437 in -5, 2, -1\/80, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -0.3, 4, -0.07, -31, -2.\nAnswer: -31, -2, -0.3, -0.07, 0.05, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -379, 19, 2, -1, 3, -2, 81.\nAnswer: -379, -2, -1, 2, 3, 19, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d. Let b(r) = 26*r + 6. Let x(t) = 2*b(t) + 22*o(t). Let i be x(9). Suppose 0 = -8*w + 3*w + 280. Calculate the highest common factor of i and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -399, -774, -1131, -1464, -1767, -2034, -2259, -2436?\n\"Answer: j**3 + 3*j**2 - 391*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -4 (c) -7\/2 (d) -57293 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 16107548926.1763.\nAnswer: -16107548925.9763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 194 + 202. Let t = m - -48. List the prime factors of t.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -88*n**6 + 30755*n**4 - 6*n**2 - 433415 wrt n?\nAnswer: -10560*n**3 + 738120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -90. Let i = 195 - b. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-252)\/(-16)*(-1 + 5). Let w = -44 + t. Let f = w + -11. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7\/4, -1\/4, -4, -0.4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 6:22 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -10. Suppose o*p - 3 = 22. Factor 8 + p*v + 3*v**2 + 4*v - 2 + 0*v.\nAnswer: 3*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05023 - -0.05019779. What is r rounded to 6 dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l - 9*l**3 + 7*l**3 + 2 + l + 0 - 2*l**2 in the form v*l**3 + f + a*l**2 + k*l and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + s + 6. Let t = -4 - s. Find the second derivative of -f + 0 + 0 + 2*f**t wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-5 - -4) - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**4\/4 - 5*s**3\/3 - s**2 + 5*s + 549. Determine o(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h - 13*h**2 + 38 - 9*h + 138*h**2 + 268*h**2 wrt h?\nAnswer: 786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -749 = -5*q - 2*q. Does 26 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 7*z**2 - 6*z + 4. Let g be u(-6). Let m = 138 + -131. Let x(n) = n**3 - 5*n**2 - 14*n + 6. Let i be x(m). Solve -g*s = -i*s + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**3 + 3*f**3 + 3*f**5 + (-3 + 3 - 2)*(-2*f**5 + 3*f**5 - 2*f**5) + (f**3 - 3*f**3 + 3*f**3)*(2*f**2 - 11*f**2 + 7*f**2).\nAnswer: 3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -738949 at least -738943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 7*m + 3318. Let z(f) = 3*f**2. Determine i(z(u)).\nAnswer: 21*u**2 + 3318","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*j - 6*j - 450. What is the lowest common multiple of 16 and j?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 - -2.13502421.\nAnswer: -12.86497579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -46332 to the nearest 1000.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 772*x + 3860. Determine t(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 j when two letters picked without replacement from {o: 1, j: 1, z: 2, y: 1, s: 1, l: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 6*y + 12. Which is bigger: y or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x**(-12)))\/x**(-4)*x*(x**(2\/5)\/x)\/x*x\/x**(-1\/2) assuming x is positive.\nAnswer: x**(179\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14823714 and 984?\nAnswer: 59294856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 - 40*b + 51. Calculate the lowest common multiple of y(-21) and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 1:07 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 12174, -10, 1 in ascending order.\nAnswer: -10, -5, 1, 3, 12174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k + 12. Determine n(-11).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4099 - 9?\nAnswer: -40a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.2 + 0.2. Let n = -8 + 11.3. Let m = n - 3.2. What is the closest to m in 1, v, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 3*f + 3*f)*(-2 + 2 + f) + (-1 + 2*f + 1)*(0*f**2 + 3*f**2 + 4*f**2).\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*n + 1, -n - 2*n = 2*k - 13. Suppose 3*g - 2 = -5*p + 1, -k*p = -2*g + 2. Solve -5*l - 5 - 5 = p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 14*f + 30. Let n be y(10). Let r be 2 + n*4\/(-8). Let c = r + -4. Solve 13 + c = -4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2812055 is divided by 1381?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 204971295*m*s**2 - m - 6948414*s wrt s.\nAnswer: 409942590*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 0 + 15. What is the third derivative of 0*c**m + 2*c**2 + 0*c**2 + 2*c**3 + 0*c**3 wrt c?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8657370 and 3433095.\nAnswer: 199119510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1214366380?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t = -6*t + 400. Calculate the remainder when 50 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 10*c - 13*c. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 10 = -p - 2*f, 15 = 5*f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 54951.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38316 and 842952.\nAnswer: 842952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43 and 4434289?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/156546572 and -79\/1092?\nAnswer: 469639716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 68179797472 less than 3.3?\nAnswer: -68179797468.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5 = 4*j. Let u = j - -8. Suppose -3*h = 2*r - 17, 0*r = -u*r + 5*h - 22. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1363 and -443.\nAnswer: -603809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 441.99, -4\/7, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 23*v**2 + 21*v - 9. Let l be p(-22). Solve h + 2*j = -3*j + l, 5*h - 2*j - 11 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 22. Let t(r) = -r + 8. Let n be t(p). Suppose n*u + 4 = 13. What is the smallest common multiple of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -7*f**6\/6 - 11*f**3\/3 + 7. What is the third derivative of m(n) wrt n?\nAnswer: -420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.79 take away -5?\nAnswer: 7.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-5)\/(-150))\/(-11 + 12).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l - 483 = -468 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 17 = -5*j, 3*t + 2 - 5 = -3*j. Suppose -15 = -j*s + s. Let g(i) = s*i - 3*i + 2*i. Let c(r) = 3*r. Determine g(c(z)).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 5278, 2\/5, 36, 0.5 in decreasing order.\nAnswer: 5278, 36, 0.5, 2\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12303361 by -1757623.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1387, 10984, 37057, 87850, 171607, 296572?\n\"Answer: 1374*q**3 - 6*q**2 - 3*q + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**2 + 62*a - 5. Calculate the remainder when ((-497)\/28)\/((-2)\/24) is divided by z(-16).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/30352 and -79\/3472.\nAnswer: 940912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -907 + 1724. What are the prime factors of h?\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-480)\/64*((-576)\/20)\/8.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -8.3. Let h = -0.1 + s. Let v = -32 - -35. Which is the biggest value? (a) h (b) 1\/8 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**3\/3 + 4774*a**2 + 19100*a + 57304\/3 = 0. What is a?\nAnswer: -2, 14326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 1, -19, -524 in increasing order.\nAnswer: -524, -19, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2))**(-15))**5 assuming n is positive.\nAnswer: n**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -13.00000093. Round c to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + 0.22. Let s = t + -0.92. Let n = -3 + 13\/4. Which is the closest to n? (a) -2 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.16, -4, -2\/57, 0.4, 0.0498 in ascending order.\nAnswer: -4, -2\/57, 0.0498, 0.16, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1.2, 10, 0.4, 261, 3\/4, -0.1?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xv when two letters picked without replacement from vvvvvvvvvvvvxvvvavv.\nAnswer: 17\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -740, -1488, -2250, -3032, -3840, -4680, -5558, -6480?\nAnswer: -7452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 153\/11 + -14. Suppose -3*d + 2*u = 77, 2*d + 4*u + 68 = 6. Let s be d\/72 - (-21)\/56. Which is smaller: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**2. Let a(u) = 906367*u**2. Determine g(a(s)).\nAnswer: 4107505693445*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/sqrt(54) - ((sqrt(15)\/sqrt(5) - sqrt(3)) + -3).\nAnswer: sqrt(3)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.53 to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**3 - 7*g**2 - 2*g + 2. Let z(y) = -5*y**3 - 11*y**2 - 3*y + 3. Determine -8*c(d) + 5*z(d).\nAnswer: -d**3 + d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 j, and 2 f when four letters picked without replacement from ffhfjhhjhf?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-12)*(-22)\/(-55))\/(-3)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1360.4 to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -212220222210 (base 3) to base 2\nAnswer: -1110010111110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 141843233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -366 divided by -61\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-2))\/((-1)\/(-3)). Suppose -8*c + u*c + 15 = 0. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2238790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hehsuheh. Give prob of picking 2 e and 1 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((28\/21)\/2*3)\/(-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 10 + 8*m**2 + 8*m**2 - 20*m**2 + 3*m**2 + 3*m - 2*m. Suppose 285*z = 291*z - 18. Calculate j(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781043859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 27096552522187 and 18.\nAnswer: 27096552522205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2)**(-38)*d**9*d\/(d\/(d*d\/(d\/(d**(-4\/5)\/d)*d))) assuming d is positive.\nAnswer: d**(-344\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nob when three letters picked without replacement from {b: 1, k: 3, w: 2, o: 1, n: 5}.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/2 of a hour in minutes?\nAnswer: 2730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*t**3 + 0 + 2*t + 15*t**3 + 22*t**3 - 2*t**4 - 2 to l*t**4 + r*t**2 + m*t**3 + v + d*t and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 138\/14 - ((-14)\/49 + 5\/35)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1295 divide 2458819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 >= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*o = 0. Suppose 3*y = -6*h + 3*h + 21, -h + 23 = 5*y. Solve o*g = -g - y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/1 + ((-5984)\/(-77))\/16\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 7:33 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/7 + (-246)\/574?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 0*w - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*1*-6 + sqrt(132) - (sqrt(132) + (sqrt(132) - -2*sqrt(132)*-2)))\/((2*sqrt(36)*-6)\/sqrt(3)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 336 and 166904.\nAnswer: 7009968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**4 - 40*y**3 - 100*y**2 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4174 is divided by 1332.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szyrmsl. What is prob of picking 2 y and 2 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3460379479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 3*m**2 + m. Let h be p(-3). Suppose 7*b = 1 + 27. Put b, -5, h in ascending order.\nAnswer: -5, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2979.\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 not equal to 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-28)\/(-8) + 1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-5*sqrt(26)\/sqrt(2) + 0)*-6.\nAnswer: -30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 224554 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5865124856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -2*i**6\/15 + i**5 - 5*i**4\/3 - 10*i**3\/3 + 12*i**2 - 8*i - 30. What is k in m(k) = 0?\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**3 - 8*y**2 + 25*y**2 - 17*y**2.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5145334 (base 6) to base 7.\nAnswer: -2050300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p + 6*p + 73 = -187 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*h - 1 + 1 - 39*h + 2*h**2 as l + w*h**2 + s*h and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7480 is divided by 457.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 - 90. Let n(h) = 5*h**3 + 4*h**2 - 5*h - 1. Does 25 divide n(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (-4 + sqrt(175)))*2)**2.\nAnswer: -128*sqrt(7) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/5 and -11\/8775.\nAnswer: 8775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116732 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 31, 34, 37?\n\"Answer: 3*g + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.162591 to 2 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**3 - 13*j**2 + 3*j - 20. Does 19 divide b(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1803623 (base 10) to base 8.\nAnswer: 6702547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**4 + 5*s**4 + 0*s**4 + (3*s**2 - 4*s**2 + 8*s**2)*(-6*s**2 + 2*s**2 + 3*s**2).\nAnswer: -6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 20. Let j(p) = 63 - 29*p + 25*p - 63. What is b(j(z))?\nAnswer: 16*z**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -64*d**2 + 18*d + 14. Give l(-2).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-39))\/(300\/(-900))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 8 = -2*t, -2*z - 3*z - 3*t = 24. Let q = 27538\/9 - 3068. What is the common denominator of q and (1 - -122)\/(z - -16)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -z + 2*u, -2*z + u + 5 = -4*u. Let i = -27 + 39. What is the remainder when 50\/(-10)*(-2)\/z - -72 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h + 2. Let d(l) = -3*l + 1. Let b(q) = 6*d(q) - 4*p(q). Suppose 16*c = -2*c - 72. Determine b(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7605 + 15670. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.895471 minutes to days.\nAnswer: 0.01451074375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + -2.8. Suppose 3*m + 17 = -4*n, 0 = 3*m - 0 - 3. Let y be (1 - (2 + -1))\/(-1). Which is the closest to y? (a) z (b) 0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 19*s**4\/24 + 8*s**3\/3 - 19*s**2. Let f(c) = 20*c + 16. Let k(a) = 4*f(a) - 3*y(a). What is the tens digit of k(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, u: 11}. What is prob of sequence uzzu?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 724, 702, 658, 580, 456?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -923563.681 and 329.6.\nAnswer: -923234.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 2:11 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 14*l + 34. What is the remainder when 6 is divided by g(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 639*h - 634*h + 35, -h = x + 7 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**2 - g - 17. Let f(x) = 16*x**2 + 4*x + 85. Let p(a) = -2*f(a) - 11*s(a). What are the prime factors of p(-9)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -925956051\/130 + 7122803. Let l = s - 765\/13. What is the common denominator of l and -5\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c**5 + 11*c**4 - 7*c**3 - 11*c**2 - c. Let v(f) = 3*f**5 - 5*f**4 + 3*f**3 + 5*f**2. Let a(h) = -2*q(h) - 5*v(h). Solve a(b) = 0 for b.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 q, and 2 w when four letters picked without replacement from {q: 2, a: 1, m: 2, z: 1, w: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61*h**3*n**2*q**3 - 9*h**3*n*q**3 + h**2*n**2*q**3 - 478*h**2*n - h*n**2*q**3 wrt h?\nAnswer: -366*n**2*q**3 - 54*n*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1605 + -1595. Let g = 1 - 0.6. Which is bigger: w or g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/93723 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k + 34 = 3*o, 0 = -92*k + 90*k - o + 17 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7455692?\nAnswer: 2, 1863923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1112112100021 (base 3) to base 14\nAnswer: 173c9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*3*-1*214\/321.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**3 + 2*x**2 + 5*x - 3. Let s be z(2). Let u be ((-5)\/10)\/((-1)\/(-18)). Let d be (2\/u)\/(12\/s). Put 0.4, d, 5, 4\/7 in decreasing order.\nAnswer: 5, 4\/7, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.5 + -8. Let s = y + -4.69. Let d = s + 10.19. Put d, -1\/6, -0.3 in ascending order.\nAnswer: -0.3, -1\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-8)\/10)\/((-12)\/10).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l - 3 + 13 - 4 - 2*l. Let w be t(3). Solve -w = o - 5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2436 = -3*w - 171. Suppose -115*i - v = -117*i + 6, 0 = v + 2. Suppose 5*y = -i*l + 7*l - w, 599 = 4*l - 5*y. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51975?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 9*i**2 + 2*i. Let w(d) = d**2 - 59*d - 381. Let h be w(65). Calculate p(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(72) + -1*sqrt(72)))\/(sqrt(36)*-5))\/(((sqrt(192)*-1)\/sqrt(8))\/(sqrt(4) + sqrt(4) + (sqrt(48)\/sqrt(4))\/sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 626207862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -77*m - 73*m + 6*m + (-2*m - 3 + 3)*(-2 + 1 - 1).\nAnswer: -140*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllfffllllllllllllf. What is prob of picking 1 f and 2 l?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6}. What is prob of picking 2 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*z + z - 2*z + 7*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(5*o - o - 5*o) + 1 - o + 2*o - 2.\nAnswer: 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -661 (base 11) in base 7?\nAnswer: -2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-80)*5*-2*24.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 5:10 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6140967861?\nAnswer: 3, 7, 107, 2732963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*g = 36, g + 3 = -u + 12. Suppose 2*p + u = 13. Suppose 2*t = -p*i + 64, -4*t - i = -5*i - 88. Calculate the greatest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 30 + m**2 - 20*m**2.\nAnswer: -19*m**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10493, -12915, -36323, -59731?\nAnswer: -83139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, d: 3, w: 2}. What is prob of picking 2 u?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (135 + 15*i - 135 + (-1 + 5 - 2)*(2 - 2*i - 2) - 2*i - i + i)*(i - i**3 - i) as b*i**2 + p*i + d*i**4 + v*i**3 + h and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -353, -346, -337, -332, -337?\n\"Answer: -j**3 + 7*j**2 - 7*j - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**4 + 84*w**3 - 393*w**2 - 2784*w - 2304 = 0.\nAnswer: -3, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27900 and 201?\nAnswer: 1869300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-4)*(-2)\/2. Calculate the remainder when -1*(m - 0)*17 is divided by 3*(3 - (-1 - -1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/34? (a) 0 (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*m + 15. Is 104 + 4 + 1*(-9)\/m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - 0.47. Let a = o + -0.085. Round a to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p**3 - 78 + 0*p**3 - 25*p**3 + 13*p**3.\nAnswer: -4*p**3 - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 88*(4 - 6\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/5)\/((-9)\/180). Let l = x - -7. Is (27\/2 - l)*4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/3)\/(d*d**1\/d*d)*(d\/((d*(d\/(d**8\/d)*d)\/d)\/d))\/d*d**(-10)\/d assuming d is positive.\nAnswer: d**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.048, 0.4, -0.1, 1\/7 in ascending order.\nAnswer: -0.1, 0.048, 1\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1899, 3733, 5557, 7365, 9151, 10909, 12633?\n\"Answer: -m**3 + m**2 + 1838*m + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, l: 3}. Give prob of sequence tt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1199 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-4))\/(2\/(-88)). Let c(j) = -j + 5*j - 5*j + r. Calculate the remainder when 30 is divided by c(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2\/15, -2\/5, -2530, 2\/7.\nAnswer: -2530, -7, -2\/5, -2\/15, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 5 + 9 + 46 + w.\nAnswer: w + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73384649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4+4.473\nAnswer: 0.473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-14) - 11\/(-7). Let n(m) = -3*m**2 + 0*m - m**q - m + 0*m + 2 - 4*m**3. Is n(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -779, -1771, -3167, -4967?\nAnswer: -7171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**3\/3 + 1924*v**2\/3 - 4518*v + 3876 = 0.\nAnswer: -969, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/28549? (a) -0.4 (b) 0.95 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 149 = -149. Let d(i) = 1 + 6 + 3 - 11*i - 2. Calculate the smallest common multiple of 4 and d(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of 3*f**2 + 0*f + 1\/30*f**5 + 0 + 0*f**4 + 0*f**3. Determine i(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126 * -12092.4\nAnswer: -1523642.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/91050709 or 1?\nAnswer: 2\/91050709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventy-five eighths of a week?\nAnswer: 1575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -30. Solve v + 11 = -4*r, g*v - 4*v - 2*r = -12 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9510 and 7925?\nAnswer: 47550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*h = -182*h - 36*h + 538 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16943, 16674, 15955, 14564, 12279, 8878?\nAnswer: 4139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**3 + 5 - 30*n + 28*n - 3 - 12*n**2 to d*n**3 + c*n + t*n**2 + a and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 t when three letters picked without replacement from {d: 1, f: 11, c: 2, v: 1, t: 3}?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -w. Let u(i) be the first derivative of 0*i**5 - 1\/3*i**6 + 0*i - 2 + 0*i**2 + w*i**4 - 1\/3*i**3. Find the third derivative of u(y) wrt y.\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*v + 1115*v + 7109 = 168 - 9103 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -2*a - 3*a + 3*y, -3*y + 43 = 4*a. Let i be (1700\/(-75) - -26)*42\/11. Which is smaller: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/9 (b) -2 (c) 5 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 1930*m - 48242. Let f be g(25). Solve 7\/2*p**3 + 1\/2*p**5 + 7\/2*p**4 - 19\/2*p**2 - f*p + 10 = 0 for p.\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1176 - 12148?\nAnswer: -10972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22022719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -3\/5, 2\/13, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -37174, -37175, -37176, -37177, -37178, -37179?\n\"Answer: -i - 37173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81285, -81405, -81525, -81645?\nAnswer: -81765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34553473 to the nearest integer?\nAnswer: 5878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 18\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -1 - -1) + 5. Let a(f) be the second derivative of 0 + 1\/10*f**c - f**2 + 1\/6*f**4 + 2*f - 1\/3*f**3. Suppose a(w) = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319 + 24769*i + 156 + 69968*i + 163.\nAnswer: 94737*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a. Let d(v) = -25*v**2 - 8. Determine r(d(u)).\nAnswer: 25*u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45\/26 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1088130*i**4 - i**3 + 107142 wrt i?\nAnswer: -4352520*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15217*i - 15218*i + 6. Let k(j) = -35*j. Let a(c) = -174*c. Calculate i*a(m) - 29*k(m).\nAnswer: -29*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*x - 337977, -19*x + 23*x + 3*m - 450658 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**3 + 3234870*a**2 - 29932083*a wrt a.\nAnswer: -12*a + 6469740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 32?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11, 1, 10 in ascending order.\nAnswer: -4, 1, 10, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 468.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -740*f - 574*f - 944*f + 806*f to the form s + j*f and give j.\nAnswer: -1452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 20405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5\/8 - 355*r**4\/8 + 29127*r**3\/8 + 419963*r**2\/8 + 229310*r + 317400 = 0 for r.\nAnswer: -5, -3, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47038992 a multiple of 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 - (-2 + 0 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5489639963569 + 5489639838241.81020132. Let w = -125388.1898 - x. Let t = -61 - w. Round t to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(1\/5)\/h))**21\/(h\/h**(2\/11))**(-5\/4) assuming h is positive.\nAnswer: h**(8541\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -169 take away -2.9385689?\nAnswer: -166.0614311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/6 + 12\/(-36). Solve 2 = b - n*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/10*9*5\/9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 12. Let k be z(-7). Sort 3, 2, 1, k in ascending order.\nAnswer: k, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 2*b + 3*r, -21 = 84*b - 80*b + 5*r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 f when three letters picked without replacement from rwwrjfrrrjrrwfwrrwrf.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 280245*o**2 - 107*o**3 - 280243*o**2 - 37*o**3 in the form j + u*o**3 + s*o**2 + n*o and give u.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*(sqrt(10)\/sqrt(5) + -5 + sqrt(2) - sqrt(2))**2.\nAnswer: -51 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1125\/19 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 7706 = g - 17*m, m + 69574 = 9*g. List the prime factors of g.\nAnswer: 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000142176227 rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -160\/7, 3, 0, -1.3, -0.04 in increasing order.\nAnswer: -160\/7, -1.3, -0.04, 0, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2190 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 814\/(-2)*(-207)\/207. Calculate the highest common divisor of 33 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + r**2 - r + 6. Let o be m(0). Is 5 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 375 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -12. Let p be (-38)\/(4\/(-2) - 0). Suppose -p + 3 = 4*u. Which is the nearest to r? (a) 2\/23 (b) u (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.4 (b) -1.21 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9072373 divided by 1?\nAnswer: -9072373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i + 3*i**3)*(-3*i + 3*i + 2*i) - 11*i**4 - 4*i**4 + 0*i**4 + (0 + 0 - 2*i**2)*(-3 + i**2 + 3) + 21 + 32*i**4 - 21.\nAnswer: 21*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 10 = 0, 2*i + 5*s = -i + 64. Let x = -20093\/638 + 854\/29. Calculate the common denominator of 1131\/(-594) + 4\/i and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1973446008 is divided by 219?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 26*n - 440. What is o(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2 + 1)*(2*f - 2*f + f) - 4 + 4 - 2*f)*(-142*f - 40*f + 29*f) to the form q + v*f + w*f**2 and give w.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (16\/4 - (1 + 1)). Let y(o) = o**2 + 10*o + 8. Let l = 25 + -34. Let z be y(l). Sort z, t, -4 in descending order.\nAnswer: t, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 387 or 386?\nAnswer: 386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/7 (b) -1\/6 (c) -3 (d) -1\/18 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -14) + -1268 + 1237.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 2 - 1)*2 + 5. What is the smallest value in 2\/3, 2\/21, -2\/5, o?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113\/(142154\/74)*1598.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**6\/24 - 3*z**5\/20 + z**4\/16 + z**3\/4 - z**2\/4 - 207. Determine y so that s(y) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.9, 6, -1\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1507*j + 20349 wrt j?\nAnswer: 1507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -249 plus 13257379262?\nAnswer: 13257379013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 - 7*j**2 + 2*j + 4. Let k be z(-6). Let b = -306 + k. What is the units digit of b\/(-12) + 4\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -6*p - 17*p. Let c(v) = v**2 + v. Determine c(p).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1962915 = 76*s + 244*s. Calculate the highest common divisor of 10 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.2 + -0.2. Let c = z + -5.4. What is the closest to -1 in c, -5, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 796 (base 12) in base 10?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -695\/2 > -349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501117 is divided by 580.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9\/14 - 19\/35. Let u = -117.08 + 117. Put u, -1\/7, j in ascending order.\nAnswer: -1\/7, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 29\/5 of a millisecond?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1325, -1323, -1321, -1319, -1317?\nAnswer: -1315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 89.94186 decades?\nAnswer: 8.994186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -138*b + 122*b. Solve -4*y + 28 = 29*u - 25*u, -y + 3*u - 1 = b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 9:15 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 931 = -5*t + 246. Let c = 241 + t. Let m = -44 + c. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 + 22. Let q = x - 93.8. Which is the third smallest value? (a) -2\/9 (b) 18 (c) q (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 + -31. Calculate the remainder when h is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4 + 6 - 2*x - 1 + 2*x**2. Suppose 0 = -32*w + 26*w + 36. What is the remainder when l(w) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, x: 7}. Give prob of sequence ppp.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 7:54 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1250*y**3 + 1226*y**3 - 2474*y**3 + 1128.\nAnswer: 2*y**3 + 1128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20466377 from 0.6.\nAnswer: -20466376.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 24*z**2 + 27*z + 54. Determine i(-25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 - 3*m + 1. Let w(l) = 15*l**2 - 12*l + 6. Let h(p) = 3*d(p) - w(p). Give h(4).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 120, 5, -2 in decreasing order.\nAnswer: 120, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 28 = 25 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 115658 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*p + 34*p = -4*o - 85, 2*o + 109*p - 5890 = -59*p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9663033430 rounded to the nearest one hundred thousand?\nAnswer: 9663000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 7*n**2 - 12*n - 9. Let i be h(-8). Suppose -i*m = -18*m + 30. Suppose 4*c = 4 + 4. What is the closest to m in -0.3, 0.5, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -5*i**5 + 110*i**4 - 570*i**3 + 640*i**2 + 575*i - 750 = 0.\nAnswer: -1, 1, 2, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**3 + 2*k**2 - 17*k + 10. Let t be x(5). Calculate the highest common factor of 150 and t.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -11*z**5\/60 + z**4\/12 + z**3\/6 + 2*z**2. Give q(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17812649335 + 1278787908438597\/71791. Let h = -7\/17 + s. Let f = h + -59203\/114021. Calculate the common denominator of -91\/2 and f.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -5\/2*g**2 + 67\/6*g**3 + 7*g + 0. What is the units digit of y(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53 and 8851.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 11. Suppose -a + 5 = 3*n, 2*a + 7*n - 7 = 4*n. Let t(k) = k**2 + k**3 - 7*k - 5 + 4*k**a + 8*k. Give t(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -9*v - 349. What is j(-58)?\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10989296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**2 + d - 1. Let m be o(1). Let k(y) = -12*y**3 + 4*y - 9 + 4*y**3 - 2*y - y**2. Is k(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**8\/1008 + b**7\/90 + 11*b**6\/360 - 7*b**5\/180 - b**4\/6 - 225*b**2 - 2. Solve u(a) = 0 for a.\nAnswer: -4, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -232 - -240. Let n be (w - 0)\/(9 + 395\/(-45)). What is the highest common divisor of 18 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1504 and 7392?\nAnswer: 347424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/31666240 and 43\/16320.\nAnswer: 94998720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.01 (b) 10 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 39 = -24, 2*i - 3*c = 10007. What is the greatest common divisor of 32 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2238098 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2213\/(-2) + (-18)\/36. Let x be k\/(-36) + (-6)\/8. Let v(d) = -d**2 - 18*d - 11. Let m be v(-17). Calculate the highest common divisor of m and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1139*i**5*q*w - 623*i**4*q*w + 52*i**2*q*w + 9*i**2*q + 117*i*w + 3*q wrt i.\nAnswer: 68340*i**2*q*w - 14952*i*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-400)\/48 + 8)\/((-8)\/6). What is the closest to 0.1 in -3\/4, k, -0.06, 5\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 12*v - 2. Let f be i(-9). Let u be (-40)\/f - 4\/(-1). Suppose -u + 3\/5*z**2 - 12\/5*z + 3\/5*z**3 = 0. Calculate z.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a week in minutes?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 72\/5 of a second?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3042*z + 48. Let l be c(0). Suppose -2*u - 4*x - 20 = -3*u, u - 13 = -3*x. Calculate the highest common divisor of u and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = x - 15. Let m(y) = y**3 + 3*y**2 - 5*y - 4. Let p be m(x). Differentiate 1 - 4 + p*n**2 - 13*n**2 with respect to n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3415 a factor of 92935589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*q**3 + 1345*q**2 + 18744*q + 17424.\nAnswer: (q + 1)*(5*q + 132)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -2*(2 - 1)*86*(21 + -23) and 1204.\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 49021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 96*r - 1965. What is u(29)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 34127?\nAnswer: -34130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -650 - -649.95. Let q = -0.3 + 0.35. Let v = q + w. Is -4 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76002.\nAnswer: 2, 3, 53, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1123, 2270, 3417, 4564, 5711?\nAnswer: 6858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, d: 2, e: 3}. What is prob of picking 2 d and 2 e?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 24*s + 1 + 27*s.\nAnswer: 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-325475)\/(-14875) + -21 + 22\/(-385). Solve -2\/17*x**3 + 26\/17*x - b - 10\/17*x**2 = 0 for x.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 28*t. Let l(c) = -1. Suppose -52 = -v - 49. Let m(q) = 0 - 3*q + v - q + 5*q. Let j(y) = -3*l(y) - m(y). What is j(i(h))?\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-105)\/28 - ((-18)\/(-8) - 2). Let q = c + 11. Is (-106)\/(q + -5)*-23 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, z: 4, n: 2, l: 3, b: 2}. Give prob of sequence nl.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8*l**3 + 10*l**2 - 16*l + 9. Let i(y) = 15*y**3 - 21*y**2 + 33*y - 18. Let n(p) = -9*d(p) - 5*i(p). Factor n(j).\nAnswer: -3*(j - 3)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 83302 = 3*g + 28204, -4*g + 73465 = -5*f. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-1 - 4) - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 - 14*s**2 + 7*s + 33. Let o be d(6). Put -11, o, 7 in increasing order.\nAnswer: -11, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5090.582 rounded to the nearest 100?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539 a factor of 324578178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -k - 3, 5*c = -4*k - 152 + 185 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4)**34 assuming k is positive.\nAnswer: k**136","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - k - 3. Let q be y(0). Let h be (1\/q)\/((-1)\/15). Solve -h*i - 1 = -16 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**2. Let u(q) = 2*q**2 - 12*q + 98. Let l be u(9). Let n(o) = 152 - l - 4*o**2. Calculate r(n(a)).\nAnswer: -48*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 798495?\nAnswer: 3, 5, 53233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -182*f**4 + f**3 - 1104*f wrt f?\nAnswer: -2184*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 381175 (base 11) to base 5\nAnswer: 123224230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -6) + 4 - 1. Suppose 22*i - 5*h - 12 = 21*i, -4*h - f = i. Solve -d - 14 = -3*o, i*d + 2 = -o - 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4 = 1. Let i(h) be the first derivative of h**2\/2 - 1. Let a(l) = l**3 - 2*l. Let s(z) = z**2 + 9*z + 6. Let r be s(-8). What is f*a(d) + r*i(d)?\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10309*l**2 + 54 - 26 - 5215*l**2 - 5358*l**2 - 28.\nAnswer: -264*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 1\/8, -3, -1, -0.4 in descending order.\nAnswer: 1\/8, -0.4, -1, -3, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*c + 60*c = 58232. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2905 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 684.7732ml?\nAnswer: 0.6847732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 1 + 7*b - 3 - 11*b + b**2. Let n be j(12). Solve 0 = -v + 5*y + n, -4*v + 0*y + 17 = y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -l + 2. Suppose 0 = 2*v - 5 - l. Suppose a - 3*a + 22 = 4*p, -v*p = -2*a - 14. Solve -a*z + 1 = -2*z + 2*f, -2*f + 13 = 5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31285 is divided by 7817?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g**2 + 6*g - 6. Let a be t(1). Put a, 2, -3, 12 in decreasing order.\nAnswer: 12, 2, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*d - 3133*t = -3130*t + 364, -120 = 7*d + 2*t for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -2 (b) 2\/19 (c) 0.07 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 625 + -621. Solve 2*r + h*k - 18 = 0, 2*k = 4*r - 3*r + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 8:32 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*1\/1*-1. Let d(r) = q*r - 1 + 3*r - 2*r. Let c be 54\/(-12) + (-2)\/4. Determine d(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3 + 404*j**2 + 1.\nAnswer: 404*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + f + 0*f - 1849 = 0, -2 = -2*f. Let o = 479 - g. What is the greatest common factor of 51 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601 is divided by 31?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*l + 81 = -129, 0 = 4*j + 2*l - 158. Find the third derivative of j*u**5 + 242*u + 4*u**2 - 1 + 2 - 242*u wrt u.\nAnswer: 2220*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -84*z**2 + 1. Let b(a) be the third derivative of -a**4\/24 - 3*a**2 - 249. What is s(b(y))?\nAnswer: -84*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8.14 - 4\nAnswer: 4.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*j**2 + 63*j + 9*j**5 + 60*j - 123*j wrt j?\nAnswer: 540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*p + 38*p + 32 = 0. Calculate the highest common divisor of p and 116.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**3 + 12*z**2 + 8*z - 6. Determine c(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 + 3 + (-5 + 2 + 0)*(3 - 3 + 1))*(3 - 3 - q) as g*q + d and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 34. Let k be u(-13). Let n = 93 - k. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168586.7 equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4454861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 6 = -2*h - 4, -5*h - 25 = 5*a. Put h, -4, 0, 1 in ascending order.\nAnswer: h, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -5. Let d(z) = 0 - l*z + 0. Let o(c) = 151*c + 2*c**2 - 151*c. What is o(d(q))?\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 11:06 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -221798, -221799, -221800, -221801?\nAnswer: -221802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 665 + -294. List the prime factors of r.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 11:14 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*r + 632 = 0, 0*r = -f - 3*r + 632. Let u = -627 + f. Suppose -o + 3*n + 8 = o, 5*o - 41 = -3*n. Solve -u*y - 2 = -o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -10*v**2 + 6*v + 182. What is y(5)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -177126, 1595, 1 in decreasing order.\nAnswer: 1595, 1, -177126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 34156, 68314, 102472, 136630?\n\"Answer: 34158*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -43.9922. Let y = o - 0.0078. Let w = -77\/416 + 1\/32. What is the nearest to y in w, 7, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108276 and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (31\/62)\/(4\/(-10))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 0 + 3 - 1)*(-a + a + 3*a**2).\nAnswer: 6*a**3 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9920)\/(-29787) + (-22)\/66. Let h = 1102035\/278012 - g. What is the common denominator of h and -53\/304?\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 5*u - 2. Let v = -52 + 50. Let p be m(v). Solve 0 = p*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21758790088 take away -0.07?\nAnswer: 21758790088.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/8)\/b)\/(b\/(b**22*b)) assuming b is positive.\nAnswer: b**(167\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.43 - 0.23. Which is the third biggest value? (a) -0.2 (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(8\/(-10))*(-7)\/(-105)*-57.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o - 2. Let n be b(4). Suppose -y - 15 = -n*y. Suppose 4*m = -107 + 115. Solve -m*v = -y*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 5819*n - 29129. What is t(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 632 = -12*p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 264 + 121. What are the prime factors of o?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -19 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4114 is divided by 1028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 2*s + s)*(9*s - 4*s + 5*s) - 75*s**2 - 1 - 41*s**2 - 1.\nAnswer: -156*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2976)\/56)\/(-12) - 15\/3. Which is smaller: 90 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 384 + -397 + (-1 + -1 - (-6 + -2))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -33\nAnswer: -8\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieenyyeyyknninee. Give prob of picking 1 k and 1 n.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3 = 2*n. Suppose 0*c = -3*c + w, -2*w = -c. Let k = -88 - -90. Sort c, n, k in ascending order.\nAnswer: c, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((-1)\/(-2 - -3)) - 1. List the prime factors of (15\/(-25))\/(m\/15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -47*m**6\/5 - m**4\/12 - 319*m**3\/3 + 10*m - 1. What is the second derivative of y(t) wrt t?\nAnswer: -3384*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 10:09 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57580012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 3)*(-43619 + 8*x + 43619 - 89*x**3).\nAnswer: -267*x**3 + 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 943 divide 24272117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 11*q**2 + 8. Let i(s) = -2630*s - 2633*s + 7920*s - 2644*s. Calculate i(v(y)).\nAnswer: 143*y**2 + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 3 + -434)*13. Let n = o - -14634. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**2 + 5988*i - 106814. Determine j(18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 145 = 11*s. List the prime factors of s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 459279467?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 0.05 (c) 0.16 (d) -3\/1003 (e) -1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m**4 - 4*m**3 + 4*m**3)*(0 - 1 + 0)*(2 - 5 - 2) as d*m**3 + f*m**2 + i*m**4 + v + l*m and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -240391 - -240390.9559963. Let p = k - -0.044. Round p to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 3461.2.\nAnswer: -346.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/18 - (217\/(-6))\/7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 3*d + 7*w - 2*w, -5*d - 2*w + 110 = 0. Suppose 3*i + 497 - 341 = 2*b, -5*i - 92 = -b. What is the smallest common multiple of b and d?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v - 10*v**2 + 4*v + 4*v**2 + 11*v as z*v + d*v**2 + w and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 = 9*f - 5*f, 4*f - 28 = -4*q. Solve -5*h = -4*h + q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70039089 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10884400561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34 and 303290.\nAnswer: 5155930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1032 - 7226\/7. Put 2\/37, p, -0.5, 0.2 in ascending order.\nAnswer: -0.5, p, 2\/37, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) -132 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -9. Suppose -2*n - 20 = -5*w, -w + 3*n + j = -3. Find the second derivative of 4*f**4 + 7*f + 12*f**4 + 7*f**4 - 21*f**w wrt f.\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -5*u + 25, -2*v - 2*u - u = 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -5*f**8\/336 + f**7\/6 - f**6\/8 - 19*f**5\/12 + 5*f**4\/6 + 10*f**3 - 81*f**2. Determine j so that x(j) = 0.\nAnswer: -1, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -1\/4*w**2 + 5\/24*w**3 + 1\/80*w**5 + 10*w + 0 - 1\/12*w**4. Factor z(b).\nAnswer: (b - 2)*(b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1070*v**2 + 1064*v**2 + 1067*v**2 - 3208*v**2.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000014805049 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 8 + 8. Suppose 8*d = -2*d - d. Suppose d = u*g - 27 + 19. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 - 13 + 13)*(3*m + m + 1 - 2*m)*(-3 + 3 + 2*m).\nAnswer: 4*m**5 + 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/3)\/((-10)\/(-45)). Suppose f = -r*f - 820. Let g = f - -324. List the prime factors of g.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 8637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, y: 1, w: 5, x: 3}. Give prob of sequence xykk.\nAnswer: 3\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vshhvtsni. What is prob of picking 1 h and 1 s?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 5*u**2 - 5*u - 4. Let z(w) = -w. Let q be ((-2)\/(-5))\/((-3)\/30). Let i be z(q). Suppose -i*v - 14 = 2. Give s(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1250\/33 - -424\/11. Suppose 0 - 2\/3*n**3 + 0*n**2 + d*n = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohp when three letters picked without replacement from {h: 1, o: 2, y: 2, p: 4}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**(-2\/3)\/j))\/j)**(12\/13)*(j**1)**(-1))**9 assuming j is positive.\nAnswer: j**(63\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 110 + -111. Let n be 7410\/57 - (7 + v). What is the greatest common factor of n and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2\/27, -4, -1616, 1\/3, 3, 0 in ascending order.\nAnswer: -1616, -4, -2\/27, 0, 1\/3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (4 + (-5 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1163712 take away -0.3?\nAnswer: -1163711.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -38*j + 41*j + 15, -3*p - 4 = j - 15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 13*c**5\/20 - 11*c**4\/12 + 10*c. Find the third derivative of y(u) wrt u.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28004.\nAnswer: 2, 7001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5463 + 46?\nAnswer: 5509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2. Let h be (1\/1)\/((-3)\/(-3)). Let t(q) = q. Let p(n) = -2*n. Let k(z) = h*p(z) + 4*t(z). What is k(g(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 9729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*42\/24*(-244)\/14.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -15369*n**2 - 9*n - 4. Let x(d) = d**3 - 2*d**2 - 3*d + 4. Let w be x(3). Let m be r(w). Let y = -1944 - m. Round y to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/63 in 0.4, -3, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 6. Let d(j) = -j**3 - 4*j**2 - j - 22. Let k be 1\/(98\/35 + -3). Let c be d(k). Put 0, c, g in ascending order.\nAnswer: 0, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01144 and -3194.\nAnswer: 36.53936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 12, e: 1}. What is prob of sequence pe?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p. Let u be -1 + p + 1 + 0. Let r(v) = v**3 - v**2 + 2. What are the prime factors of r(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -291 (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 724\/27 + -22471\/837. Suppose -4*c + 3*t = 17, 2*c + 30 = -3*c + 2*t. Let u be 4*-1*2\/c. Which is bigger: j or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -0.0024, 1466, -4, -2\/9 in increasing order.\nAnswer: -9, -4, -2\/9, -0.0024, 1466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000080174 rounded to 7 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/5 or 219?\nAnswer: 219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 5*y + 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 205?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18164 and 9560.\nAnswer: 181640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u - 6. Let q(o) be the first derivative of -5*o**2\/2 + 5*o - 20. What is 3*h(z) + 4*q(z)?\nAnswer: -5*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.1 and 24.\nAnswer: -170.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) + (sqrt(660) - sqrt(660)*1)\/sqrt(11) - sqrt(60))\/(6*sqrt(36)\/sqrt(3)) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 264800.\nAnswer: -7\/132400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*c + 20 = -48, 4*c - 112 = 4*g. Suppose 2*k = -19 - 13. Let w = k - g. Solve b = -b + w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r*r**(2\/25))\/r)\/r)\/((r\/r**4)\/r))**(-18\/5)\/((r**(2\/5)*r*r*r)**(28\/3)*((r**4*r)\/r)\/(r\/(r*r*r**(-5\/2)*r))) assuming r is positive.\nAnswer: r**(-37441\/750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77482?\nAnswer: 2, 19, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11100521 + -5?\nAnswer: -11100530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2 + 5*p. Let d(g) = 12*g**2 + 21*g. Let n = 20 + -18. Let v be 12\/3 - 7 - n. Calculate v*d(a) + 21*s(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80.6 - 80.3. Sort -2, -29\/4, 0.6, v, 0.1 in decreasing order.\nAnswer: 0.6, v, 0.1, -2, -29\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/126208887 and -149\/11742.\nAnswer: 252417774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**4\/2 + 229*u**2\/2 + 274*u + 139. What is the derivative of o(q) wrt q?\nAnswer: -6*q**2 + 229","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4803*m + 7674 + 5565 = 3633 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/40 and 3\/18 - ((-756)\/(-16))\/(-27).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4132 is divided by 184.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -760*a**3 + 3553*a**3 + 1720*a**3 + 6097*a**3.\nAnswer: 10610*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/2, -3, 0, 15.\nAnswer: -3, -1\/2, 0, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = r - 203, 60*f = 2*r + 55*f - 441. What is the derivative of -211*n**4 - 66 + 433*n**4 + r - 307*n**4 wrt n?\nAnswer: -340*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*-4.1407.\nAnswer: -57.9698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 0*z - 4*z + (0*z + z + z)*(-1 - 2 + 2))*(5*z**2 + 3*z**2 - 5*z**2) to i*z**3 + b + h*z**2 + w*z and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v. Let q(x) = -29*x**2 - 236*x + 8. Give u(q(r)).\nAnswer: 29*r**2 + 236*r - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 + 27*c - 19. Let m(s) = -s**2 + 13*s - 9. Let k(i) = 7*m(i) - 4*z(i). What are the prime factors of k(17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20000 (base 8) to base 6.\nAnswer: -101532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -16589696?\nAnswer: -1\/2073712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 2\/6887977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503160850.\nAnswer: 2, 5, 19, 47, 59, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 16*r**2 + 34*r + 23. What is the remainder when k(-18) is divided by 39?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8916\/11, -0.1, 0.05?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2599034207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2, 28, 48, 38, -26?\n\"Answer: -4*w**3 + 21*w**2 - 9*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7348783 rounded to one decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 17. Let x be o(12). Suppose 8*p = 7*p + x. Suppose -p*d + d - 3 = -u, 2*u + d - 6 = 0. Solve 0*m - 3*m = -u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3519*j**2 + j - j.\nAnswer: 3519*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**3 - s**3 + 4*s**3 + 8*s**3.\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 6*h**2 - 23. Let v be g(5). Solve -4*k - v = -3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 7. Suppose 0 = -29*d + 24*d - 140. Let i = o - d. Solve -5*f = -i + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((30\/(-88))\/((-1175)\/940))\/(20\/22).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 2*i + 48. Let p be j(0). Suppose q - p = -3*q. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)\/(y\/((y**(-3)*y)\/y)))**(-44)*((y**1)**(-37))**14 assuming y is positive.\nAnswer: y**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 24, 80, 168, 294, 464, 684?\nAnswer: 960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1237997?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 284 + -289. Let s(r) = -14*r - 1. Let k be s(-2). Let y = d + k. Calculate the remainder when y is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5986)\/56 + 4\/32*-2. Let a = 107 + r. Sort -0.3, a, -1\/5, -1 in decreasing order.\nAnswer: a, -1\/5, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -31386*j**2 + 15*j + 1. Let s(v) = 6*v. Give s(x(c)).\nAnswer: -188316*c**2 + 90*c + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from {x: 1, f: 4, p: 6, o: 2, q: 1, s: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*u = 100, -23*n = -22*n + u + 21. Let t(v) = 2*v**3 + 46*v**2 - 2*v - 31. Let k be t(n). Calculate the greatest common factor of k and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4950*c**2 + 4911*c**2 + 4982*c**2 - 14838*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -f + 21, -3*f + 35*n = 30*n + 37. Sort -17, -34, f, 1.\nAnswer: -34, -17, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -255*v + 5703422 + 13187998. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -102 - -102.08. Let j = -0.03 + r. Which is the second smallest value? (a) -0.1 (b) j (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 12 = 2*h, 3*p + 4*h - 39 + 35 = 0. Let r(s) = -5*s**3 - 4 + 0*s**2 - s**2 - 2*s + 5*s**2. Let l(m) = m**3 - m**2 + m + 1. Give p*l(v) - r(v).\nAnswer: v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) 0 (b) -131 (c) -90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 5*i + 12, -3*v = 2*v - 3*i + 15. List the prime factors of (v\/(-9))\/((-1)\/(-225)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2. Let j = 225 + -116. Let w = j + -107. Let n(f) = 47*f**2 - 2*f + 2*f - 28*f**w. What is g(n(q))?\nAnswer: 361*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 731 and 3225.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 15 + 10. Let w be p\/2 + 11\/2. Solve -2*v - c = 4*c - 10, w*v - 25 = 5*c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1862, 4682, 8460, 13196, 18890?\nAnswer: 25542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2.967337 hours?\nAnswer: 10682.4132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -216*l + 1665 + 927. Suppose s + 20 = 4*h, -h - 2*s - 2*s = 12. Solve -7*y - l = -h*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 10) to base 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -1 + -4)*-2. Suppose -u = -0*m - 5*m. Let f = m + 24. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13226.8 - -13227. Which is the biggest value? (a) 1 (b) -0.2 (c) l (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q - 41. Let g be d(9). What is the hundreds digit of g*((-48)\/(-18))\/(3\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2. Let d(i) = 2*i. Let r = 7 - 5. Let b(h) be the second derivative of -5*h**3\/3 - 2*h. Let z(g) = r*b(g) + 9*d(g). What is z(l(q))?\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56.134 - -0.134. Let r = 60 + s. Which is the third biggest value? (a) r (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 217, 221, 223, 223, 221, 217?\n\"Answer: -o**2 + 7*o + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 c, and 1 e when three letters picked without replacement from yyyeyccvvv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 2. Let r(w) = 2*w + 4. Let p(i) = 5*d(i) - 3*r(i). Let o be p(-1). Let f = -4 + 0. Which is the closest to 1? (a) o (b) f (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-10) + (-36)\/(-10). Suppose -p + k*p = 51. Calculate the remainder when 65 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2823146586 + 29\nAnswer: -2823146557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393768*r + 393492*r - 787238*r.\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + 100101?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((((-1364)\/(-275))\/31)\/8)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*z**5 - 58*z**4 + 92*z wrt z.\nAnswer: 600*z**3 - 696*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((348\/(-24))\/29)\/((-20)\/(-920))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10149 (base 13) in base 11?\nAnswer: -1a6a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + -15*10\/(-30). Solve 0 = c*m - 3 + 5, 5*v = -2*m - 27 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkq when three letters picked without replacement from ukwwqwsqqnwq.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 25837 and 25837 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**5\/3 - 172*k**4\/3 + 1180*k**3\/3 - 2068*k**2\/3 - 1184*k\/3 + 2240\/3 = 0 for k.\nAnswer: -1, 1, 4, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - 25) + -2 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -8.71 (b) -6 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 11:17 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3149531533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 9*d**3 + 17*d**2 - 7*d + 11. Let c(j) = -5*j**3 - 9*j**2 + 3*j - 6. Let f(a) = -3*b(a) - 5*c(a). Is f(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*i = -3, -2*i + 6*i + 4 = 0. Suppose s*x + 3*j = -x - 9, -8 = -4*j. Let h = 10 - 8. Sort h, x, 1 in descending order.\nAnswer: h, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (18 + -20 - -24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -614*l - 78*l - 479*l - 139*l to the form r*l + h and give r.\nAnswer: -1310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 43c41 - -3?\nAnswer: 43c44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p**3 - 2*p**2 - 9*p + 4. Let j(h) = 2*h**3 - h**2 - 2*h + 1. Let k(o) = -d(o) + 3*j(o). Suppose 3*x - 4*t = -0 + 10, 4*x + 4*t = 4. Give k(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1 = -8. Suppose 5*k = -c + 4, 2*c + k + 72 = r*c. Is 13 a factor of 368\/c + 4\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/10*21\/14)\/(65*(-48)\/(-400))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, d: 2, a: 3}. Give prob of picking 2 a.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1020 and 446454?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**5\/12 - 29*t**2 + 38*t. Let o(b) = 2*b - 45. What is l(o(d))?\nAnswer: 20*d**2 - 900*d + 10125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 3*l - 6. Suppose 271*u = -173*u + 19092. Calculate the remainder when u is divided by a(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3\/r**(-1\/7))\/((r*r\/(r**(-1\/8)\/r))\/(r\/(r*((r**5*r)\/r)\/r*r*r))))**(-1\/74) assuming r is positive.\nAnswer: r**(335\/4144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 57097 divided by 3?\nAnswer: 57097\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llka when four letters picked without replacement from lalllakllalatllt?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(77)\/sqrt(99) - sqrt(7)))**2 + 2.\nAnswer: 718\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 27. Let a = -91 + 91.5. What is the closest to -0.1 in -1\/2, r, a?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/6159813 and -23\/19.\nAnswer: 117036447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9149076.\nAnswer: 2, 3, 254141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 2, 0, -3, -24 in decreasing order.\nAnswer: 2, 0, -3, -12, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*m = -5*m + 966, 3*m - 9 = 0. Let a be (-2)\/2 + (-318)\/k. Let h = a + 219\/535. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*l = -9. Let k(w) = w**2 - 7*w - 13. Let r be k(9). Suppose 12 = -l*n - 2*z + 7*z, r*z = -3*n - 12. Put -1, n, 2 in increasing order.\nAnswer: n, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*c + 20*c + 401773 - 16*c - 401779.\nAnswer: 30*c - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 42*m - 582. Suppose -3*t - 2*w - 11 = 0, -3*t - 6 = -4*w + w. What is the lowest common multiple of s(-11) and 1\/t + 37\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-5)\/5 + 24. Suppose 25 = -4*n + 5, s = 2*x + 2*n. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255481 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: Divide -21684 by -2.\nAnswer: 10842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5605 - -5603. Let k = 2.4 - -0.6. Which is the second smallest value? (a) -0.2 (b) t (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from lcfxcvb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -2444964?\nAnswer: -2444962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - 18 = -2538. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**4\/24 - 5*z**3\/6 - z**2 - 3. Let s(f) be the second derivative of n(f). Let c(u) = u - 4. Calculate 5*c(x) - 4*s(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17520 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*b - 3*q, 12 = 2*b - q + 1. Let j(n) = -n**3 - 3*n**2 - 5*n - 4. Let g be -2*((-1)\/(-2) - -1). Calculate the remainder when j(g) is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 6) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -804*b**2. Let y(u) = -5*u**2 + 11*u + 22. Let p(g) = -g**2 + 2*g + 4. Let d(a) = -11*p(a) + 2*y(a). Calculate o(d(i)).\nAnswer: -804*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.117 * -0.4\nAnswer: -0.0468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m + 1. Let h(x) = 39*x + 41*x - 4 + 3 - 77*x. Let k(a) = 4*g(a) + 3*h(a). Determine k(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 7. Suppose -2*b + 3*m - 6 = -2, 10 = 5*m. Let y = b + -1. Let x be j(y). Solve 0 = 5*s + 13 + x, g = 2*s + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a + 75. Let f be y(-18). Let v(o) = 3*o + 59. Calculate the lowest common multiple of v(f) and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-6)*6\/4. Suppose 3 = 31*q - 34*q. What is the second biggest value in j, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105689 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, r: 1, u: 1, b: 2, i: 6, x: 5}. Give prob of sequence iri.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*b - 101*b + 21468 = 0. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2784972865 to the power of 1\/2, to the nearest integer?\nAnswer: 52773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 13*t**6\/6 + 13*t**4\/12 - 5*t**3\/6 + 21*t + 3. Find the third derivative of y(o) wrt o.\nAnswer: 1560*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 2*d + 19145, 0 = -j + 2*d - 4*d + 6375. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6055, 24485, 55291, 98473?\n\"Answer: 6188*m**2 - 134*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -10243511?\nAnswer: -10243513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -665623?\nAnswer: -665623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-4 - (-11 + -4)) - -10.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 e when four letters picked without replacement from {m: 6, e: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7218 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 7*g**2 - 23*g - 34. Let k(t) = 3*t**2 + 1. Let l(j) = -3*k(j) + y(j). Let h be l(-9). Solve -5*d + 2*d = -4*m - h, 0 = -2*d + m + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*-2 - (-33)\/9.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 12. Does 4 = h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2 - 3. Let a = 4 - t. Let m be (1 + -1)\/(a\/3). Which is bigger: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14500 = 5*x + 22*i - 17*i, -x + 3*i = -2892. What are the prime factors of x?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 + 3*u**3 - 3*u**3 + (13 + 6 + 5)*(-4 + 1 - 1)*(-4*u**2 - 2*u**2 + u**2)*(4*u - u - 2*u) to w*u**3 + t*u**2 + g + p*u and give w.\nAnswer: 478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2698*d**2*l**2*s**2 - 2*d**2*l*s**2 + 7*l**2*s**2 + 4435*l**2 wrt d?\nAnswer: 5396*d*l**2*s**2 - 4*d*l*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11235 and 37135.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 304571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 3*f**5\/40 + f**4\/8 + f**3\/24 - 1. Factor j(s).\nAnswer: s**2*(s + 1)*(3*s + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 647275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.8*-4078.\nAnswer: -7340.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2079*s**2 + 1794*s**2 - 769*s**2 as n*s**2 + y + g*s and give n.\nAnswer: 3104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 11*r + 16. Let m be b(-14). Let d = -27 - m. Does d = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in years?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/2))**(16\/3))**(24\/13))**(4\/13) assuming v is positive.\nAnswer: v**(-256\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 3 = 2*n, 3*v + 1 - 4 = 2*n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 412 minutes before 12:52 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -10214?\nAnswer: 10213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 21*k**5\/10 + k**4\/6 - 2*k**3 + k**2. Let v = -12 - -6. Let l be b(v). Round l to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, e: 5, c: 1, l: 6, d: 4, i: 1}. What is prob of sequence eel?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -227*x. Let l(j) = -3*j + 9. What is a(l(q))?\nAnswer: 681*q - 2043","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 115\/9, -1\/3, 0, -3?\nAnswer: 115\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 10 = 15*h - 10*h, -u = -2*h + 23. What is the third smallest value in u, 0, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3034\/(-451)*(0 + (4 - 15)\/((-2)\/(-1)))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.47 + -3.44. Sort 1, -2\/9, v in ascending order.\nAnswer: -2\/9, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.635 times 11?\nAnswer: -6.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 4*p**2 - 3*p + 4. Let j be w(-3). Suppose 3*z = -5*r + 61, -3*r - j*z - 8 = -38. What is the highest common factor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 68, 12, -24?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 0.6, -2\/17, 9, 3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 154753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -7869*x**2 + 3*x - 20. Let r(f) = 23608*f**2 - 10*f + 62. Let z(d) = -5*r(d) - 16*t(d). Let c be z(-13). Round c to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 2*g - 79. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 7*p**5\/5 + 4*p**4 - 8*p**3\/3 - 12*p. Factor j(h).\nAnswer: 4*h*(h + 2)*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78*m**4 - 1 - 3*m + 5*m**3 - 26*m**4 - 2*m**2 - 21*m**4 - 51*m**4 to the form f*m**3 + r*m**4 + j + y*m + i*m**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 5*b + 3. Let h be l(0). Factor 3\/4*y**3 + 0*y**2 - h*y**4 + 9\/4*y**5 + 0 + 0*y.\nAnswer: 3*y**3*(y - 1)*(3*y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 7*s**2 - 3*s - 5. Let v(m) = m**3 + 2*m**2 + 2. Let p be v(-3). Let f be k(p). Suppose 2*c - 4 - f = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-4) - 15\/(-12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 812 = 5*v. Let h = -179 - v. Calculate the greatest common factor of 56 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.45, -1.3, -39484, 0?\nAnswer: -39484","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**3 - 21708*t**2 + 586845*t = 0?\nAnswer: -21735, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220000 - -11002212?\nAnswer: 11222212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15444543 to the power of 1\/3, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -107092 (base 10) to base 14\nAnswer: -2b056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2080)\/(-700) + (10 + 2)\/(-4))*-2.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 8:49 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4 + 33*r**3\/5 + 34*r**2\/5 - 132*r\/5 - 56\/5 = 0. Calculate r.\nAnswer: -2, -2\/5, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 177 and 192805923.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 35570 = 245*y - 241*y, d = y + 7115. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 10*a**2 + 12*a + 12. Let d = -7 - -11. Suppose 0 - d = 4*k. Let o(c) = c**2 + c + 1. Let j be (-7 + 17)*1 + 2. What is j*o(p) + k*z(p)?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 991795 a multiple of 659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/2165? (a) -1 (b) -0.2 (c) -5 (d) 12.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 99172.93l?\nAnswer: 99172930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3089, -6177, -9265, -12353?\n\"Answer: -3088*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-3)*(-24)\/16. Let u(i) = 3*i - s*i + i + i. Let q be 39\/(-6) + (-2)\/4. Let y(x) = -x. Give q*y(p) - 3*u(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 6*n = 2*n + 20, k + 5*n = 25 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((-36)\/8)\/(-3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47999881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express b**4 - 1 - 3*b**3 - 7*b**3 + 869*b - 941*b as l + p*b + a*b**4 + y*b**2 + m*b**3 and give p.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-318)\/(-4) - (-5)\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (24 + -7)\/(2\/22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.33 + 13.67. Let i = j - 12.8. Let m = 3.2 - i. What is the closest to 0 in 3, m, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35639*n - 35637*n = 22, -3*n = -2*y - 25 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2605.09 litres in millilitres?\nAnswer: 2605090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.433 (b) -3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1394880 and 49\/1046160.\nAnswer: 4184640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7719.7707 nanoseconds in hours?\nAnswer: 0.00000000214438075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300516 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (55 + -58 - 0) + 53 + 0 + -2 + 1?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 807468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 49. Let s = z + 15. Suppose -4*g + 18 + 6 = s. Solve -3*u + g*u - 15 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/612559?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1003 * -41.16\nAnswer: 41283.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2002.\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1000101111010010000010 (base 2) to base 15\nAnswer: -303b63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 416, 435, 454, 473, 492?\n\"Answer: 19*x + 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12180*m = 4495*m + 929885 for m.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -197 - -205. What is the least common multiple of r and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 748 - 748 + 40*a + (-3 + 4 + 0)*(-a + 3*a - a) in the form d*a + y and give d.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/77 (b) -3 (c) -0.1 (d) 89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -8*q**3\/3 - 19*q**2\/2 + 3*q. Suppose -7*n + 6*n - 18 = 0. What is the units digit of s(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -136063 (base 8) in base 5?\nAnswer: -3020204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 84624 divided by 14104?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85 - 253\/3. Let m = 16.3 + -13.3. Which is the closest to 2\/5? (a) 0.04 (b) d (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -7*n**3 + 3*n**2 + 5. Suppose -103 - 23 = 18*f. Let c(b) = -8*b**3 + 3*b**2 + 6. What is f*m(q) + 6*c(q)?\nAnswer: q**3 - 3*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22039324, 22039322, 22039318, 22039312?\nAnswer: 22039304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 45688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 173847 at most 4693837\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/16960530 and 69\/11307020.\nAnswer: 33921060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.6, 0.2, 126\/31?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -196*k**4 + 75307792*k**3 + 43033072*k**2 + 6147584*k = 0.\nAnswer: -2\/7, 0, 384224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34100 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 493965, 988348, 1482731?\n\"Answer: 494383*t - 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, o: 8, b: 2, w: 6}. Give prob of sequence owww.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5573798.\nAnswer: 2, 53, 52583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 2\/9970875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17761.\nAnswer: 17761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.022 - -2.91. Round w to 1 dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 36, 1\/4 in decreasing order.\nAnswer: 36, 1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -3. Suppose b = 9*g - 4*g + 4*n, 12 = 3*g + 3*n. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -221 - -191. Let i(k) = 3*k**2 + 72*k + 42. What is the tens digit of i(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23200143 (base 5) to base 9\nAnswer: 348242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 353889*t**2 + 16*t - 19. Let u = 2 - 20. Let w be o(u). Suppose w = 9*f - 30240271. What is f rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -20, 10, -45?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - -7)*1*(-4)\/(-16)*4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/138 and (-2 - (-188)\/92)*(-17)\/(1020\/(-252))?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*j - 3121 + 155, -h + 2956 = 4*j. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8) + 0 + 0)*(-13422)\/(-73821)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 312.29 * 0.159\nAnswer: 49.65411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 5*m**2 + 6*m - 6. Let s be g(4). Suppose -2*c + 3 = -3. Let x be (s + 0)*(-1 + c). Solve -x*h - h - 25 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + 0*c + c)*(50 - 23 + 41) - 2*c - 5*c + 5*c to the form i + h*c and give h.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**5\/60 - b**4\/24 + 21*b**3\/2 - 12*b**2. Let l be f(0). Calculate the highest common divisor of l and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7077*r**4 + 1072*r**3 + 28356569 wrt r?\nAnswer: 28308*r**3 + 3216*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/5)*a*a**(2\/27)*a)\/((a**1*a*a)\/(a**(2\/7)\/a*a)) assuming a is positive.\nAnswer: a**(-794\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 379947 to the power of 1\/2, to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**6\/120 + i**5\/30 + i**4\/8 - 4*i**2. Let y be t(3). Solve y*c + 5 = c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/39546 and 92\/8719893.\nAnswer: 17439786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/72 and (2150\/645)\/(112\/38).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/7 + 208*y\/7 + 5408\/7.\nAnswer: 2*(y + 52)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-22) - (-9)\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-2 - (1 - (5 + 0)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13399549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + y - 9 = 0, 3*y + 5 = -2*b + 15 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(5040) - sqrt(5040)*-2) - (1*sqrt(5040)*-6 - sqrt(5040)))\/(3*(-2*sqrt(175)\/sqrt(5))\/sqrt(7)).\nAnswer: -50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2600 and 5975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 70*u**3 + 1050*u**2 + 6*u + 91. Determine b(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 446890\/132 + 1\/3. Let g = -3388 + c. Let i = g + 18\/11. What is the closest to i in -3, -2\/11, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/7 (b) 12\/7 (c) -1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 740922891?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -6*r + 63. Let o be w(10). Suppose -o*b + 5 = 17, 4 = 2*m + 2*b. Solve 0*q = -2*q + m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13940574 and 492?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/3)\/(m**(2\/9)\/m*m))**(-18))**(-4\/37) assuming m is positive.\nAnswer: m**(-40\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -4 + 1 - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9573660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 230, 4, -91, -5, -4 in decreasing order.\nAnswer: 230, 4, -4, -5, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/7)*a*a**4*(a**(-1\/2))**(-1\/3) assuming a is positive.\nAnswer: a**(229\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 + p**2 - p - 1. Let u be s(-1). Let q(r) = r**u + 3*r + 2 + 2*r**2 + 0*r**3 + 5*r**2. Let v be q(-6). What is v rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*i - 48. Suppose 2*t + 16 = o + 3*t, -i = -3*o - 4*t. Calculate the remainder when 74 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 13846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 206847 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-2)\/(-6)*(-3 + 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**3 + 2*x**2 + 2*x + 2. Let i(z) be the first derivative of 95*z**4\/4 - 65*z**3\/3 - 65*z**2\/2 - 65*z + 48. Calculate -195*g(m) - 6*i(m).\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eiee when four letters picked without replacement from {o: 2, i: 1, e: 2, r: 1, s: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-26)\/20)\/(5\/(-30)) and -37\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 1 = -l, -4*l + 4 = -2*v - 0*l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 5*g - 16. Let m be u(6). Calculate the highest common divisor of m and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = u - 34. What is the greatest common divisor of u and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q + 2810 + 5770 = 0. What are the prime factors of (-1 - 6\/(-3))\/((-3)\/q)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 5*u + 25, f - 5 = u + 2*u. Suppose u*s - y + 10 = s, 5*y = -3*s + 40. What is the units digit of ((-4)\/s)\/((-12)\/30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 10:46 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9959 to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 1 + (-6)\/1. Let v be l\/21 + (-2906)\/31920. Let h = v + 1\/570. What is the smallest value in h, -0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.4 - -15. Let k = s - 11.9. Round k to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 3*p + 13, 2*p - 72 = -4*w - 86 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/48*6*(-792)\/(-1980). What is the fifth biggest value in -0.2, n, 5, -2, -246?\nAnswer: -246","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + (2*sqrt(891)*3 - -5*-1*sqrt(891))**2.\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6943\/2409 + 321\/73. What is the common denominator of (-24)\/315*(-55)\/6 and m?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 13 = 5*a, -3*a = -8 + 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3735937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 413253622 + -14?\nAnswer: 413253605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2142, -17034, -57466, -136212, -266046, -459742?\n\"Answer: -2129*u**3 + 4*u**2 - u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ctptptdlvptvtppppppt. What is prob of picking 1 t, 1 p, and 1 c?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 11*g = -8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -11*y + 32. Give i(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -5*s - 2*u, -50 = 2*s - 4*s + 2*u. Calculate the remainder when 5203\/66 + (-1)\/(-6) is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -19882*o. Let r(u) = u**2. Give r(n(b)).\nAnswer: 395293924*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w + w - 2*w)*(3*w + 1 + 2*w - w) + (3 + 3 - 5)*(5*w - w**2 - 5*w).\nAnswer: 27*w**2 + 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y**2 + y - 6. Suppose 5*o = v + 32 + 73, -4*v - 24 = -2*o. Let h(r) = o + r - 6 - 6*r**2 - 23. Determine -7*f(a) + 6*h(a).\nAnswer: -a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1883, -3776, -5675, -7580?\n\"Answer: -3*l**2 - 1884*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 - (-13 + 18 + -41).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -136820 = -136814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**3 - 2*t**2 - 2*t. Let o(v) = -2106*v**3 - 1716*v**2 - 1716*v. Give 3432*c(d) - 4*o(d).\nAnswer: 1560*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*v - 4426 = -4*o, 0 = 9*v + 18. What is the highest common factor of 69 and o?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + -319?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**4\/7 + 1128*y**3\/7 - 2262*y**2\/7 + 1132*y\/7 = 0?\nAnswer: -566, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 19\/5 and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 + 0)*(19*m**2 - 40*m + 40*m).\nAnswer: 76*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*b - 15. What is the remainder when 29 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 3*j - j)*(159 - 198 + 144).\nAnswer: -210*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b**2 + 5*b + 1. Let z(a) = -a**2 + a. Let f(d) = h(d) - 6*z(d). Let i = -33 + 45. Suppose -13 = l + 3*u, 5*u + i + 7 = -3*l. Calculate f(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 14*j**2 - 10*j + 43. Let x be f(-13). Suppose -2*i - 5 = x*k - 69, 4*k = -4*i + 56. Calculate the least common multiple of k and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11060480774787 and -3?\nAnswer: 11060480774784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (14238\/9)\/(-4 - -6*1)?\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3\/5, 12.8 in descending order.\nAnswer: 12.8, 0, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 8, 1118*q - 26440 = 1116*q - 3*u. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*p - 7392 = 0, 2*t + p - 3697 = t. Suppose -5*d - 5*z + 9230 = 0, -7*d + t = -5*d - 4*z. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 m, and 1 t when three letters picked without replacement from {t: 1, a: 1, m: 1, v: 1, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5038*z**3 - 21007*z**3 + 15966*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 + 10*g**2 + 2*g + 6. Let b(r) = 4*r**3 + 21*r**2 + 4*r + 13. Let m(k) = -k**3 + 13*k**2 - 20*k - 16. Let o be m(11). What is o*b(s) - 13*v(s)?\nAnswer: -2*s**3 - 4*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 758 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5612.21323948 + 5622.21324. Let d = n - 10. Round d to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 14. Calculate the remainder when 10 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 90.88462 hours?\nAnswer: 327184632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/(-14)*20\/6. Let y = l + 6. Let z = y - 0. Sort z, -5, -3 in decreasing order.\nAnswer: z, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + (-4)\/(-2) + -5*5. Let h = q + 175. Calculate the greatest common divisor of h and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 a, and 2 l when four letters picked without replacement from {u: 2, o: 1, l: 2, d: 5, a: 8}.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50? (a) 0 (b) -4 (c) 1 (d) 4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272171 is divided by 222.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*m = -15. Let a = 264 + -250. Solve -2*s - 2*k + 1 = -s, -k + a = m*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 539 less than 537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289*a - 293*a = 0. Suppose -2*k + 751 = w, a*k - 5*w + 731 = 2*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1374*v + 1376*v - 772166 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g**3*i + 183*g**3 + 3*g**2*i**2 with respect to i.\nAnswer: -4*g**3 + 6*g**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*-1*324\/4. Calculate the common denominator of 5\/11 and (u\/18)\/((-5)\/2).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 8*j + 2. Let k(u) = 3*u**2 - 23*u - 6. Let w(l) = 6*k(l) + 17*y(l). List the prime factors of w(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55821 and 2567766?\nAnswer: 2567766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 86299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 248.8858 millennia to years.\nAnswer: 248885.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 m, and 1 p when three letters picked without replacement from {w: 3, p: 2, y: 3, d: 2, h: 3, m: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 129686472, 129686468, 129686464, 129686460?\n\"Answer: -4*s + 129686476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2*a)*(-95 - 262 - 23 - 1861) as c + o*a and give o.\nAnswer: -4482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-6)*1296\/(-1728)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 864436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126 and 42?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1, -0.9, -2\/37, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 11*z**2 + 124*z + 695. Calculate j(-17).\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/6460 and -121\/8930.\nAnswer: 303620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 7*k + 6)*(2*k**2 + k**2 - 5*k**2)*(-1 + 1 + 2).\nAnswer: -28*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 4, -9, 9\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) -456 (c) 1\/3 (d) 1.6 (e) 1\/7 (f) -2 (g) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*f + 351 = -4*b, -4*b - 1382 = -5*f. Let d = b + 345. Solve d*v + 0*v + 5*y - 7 = 0, 1 = 4*v - 3*y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1\/3 (b) -0.3 (c) 118 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 43*v**2 - 132*v + 662. Calculate j(5).\nAnswer: 1077","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 25, 17, -5, -47, -115, -215?\n\"Answer: -n**3 - n**2 + 2*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o - 98 = -18*o. Solve -18 = -5*i - m, -o*m = 6*i - 2*i - 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-5)\/(-3))*(456563\/815 + -551).\nAnswer: -46\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 8. Let r be c(5). Suppose r*p - 17 = -5. Let i = -1 + p. What is the closest to -1\/4 in -5, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-18)*189\/126?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 105929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*l + 1809 = -466 for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 259 + -239. Solve -13*y = -8*y - j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24747 and 1752?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 438445 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -830*u + 6*u**2 - 4 - u**2 + 832*u to the form v*u + y*u**2 + l and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b715 + -3?\nAnswer: -b718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 3*k = 7*h + 15, 0 = 3*k - 3*h + 9 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + o = 1642888 - 1642734, i + 14 = -4*o for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505 + 556 = 3*f for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1025, -4453, -10313, -18605, -29329, -42485?\nAnswer: -58073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 5. Let q be (-340)\/(-15) - (-2)\/(-3). Suppose o*n = 2*g - 11 - 13, 5*n = g - q. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200012221 (base 3) to base 10\nAnswer: 13282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v + 950 = -373. Calculate the lowest common multiple of v and 105.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*1\/(-3)*(-6)\/(-4). Suppose f*y - 4*y + 2*r + 582 = 0, -r = -4*y + 583. Suppose -3 = -t + k + 23, 0 = 5*t - k - y. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -117 (b) -0.02 (c) -1.6 (d) 2\/7 (e) 4 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9222 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g - g = -150. Calculate the smallest common multiple of g and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12210101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, -1, 0 in decreasing order.\nAnswer: 0, -1, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 9 = 1. Let z be (-1 + -26)\/((1 - s)*1). Let j be ((-28)\/16 - -2) + z\/60. Is j not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 654 + -3?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 12*y + 16. Suppose -23 = -2*x - 5*r, x + 3*x = 5*r + 1. Let f(t) = -2*t**2 - t**2 + 17*t + 7*t + 33. Let k(h) = x*f(h) - 9*u(h). Factor k(w).\nAnswer: -3*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 4)*(-95*f + 19*f + 2*f + (-2 + 0 + 4)*(0 + 0 - f) + (1 + 3*f - 1)*(-2 + 2 + 2)).\nAnswer: -420*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -u - 8, -4*z + 7*z - 14 = -5*u. Let q(l) = -l**3 - 6*l**2 - 13 - 7*l + 3 + z. Let x be q(-5). Calculate the greatest common divisor of x and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k - 7. Let c be f(-6). What is the third derivative of 0*y**5 + 2*y**2 + y**c + 2*y - 2*y wrt y?\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 5:12 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((46 - 47) + 1 + (1 - -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27 + -6?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.7 + -2.7. Which is the closest to 0.2? (a) s (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -3 - (14 + -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 1482.\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v + 2*v**3 - 3*v + (0*v**2 + v**2 - 3*v**2)*(-1 - 2*v + 1) - v**2 + v**2 + 2*v**3 + 6*v**3 + 3*v**3 - 13*v**3 + (-v + 1 - 1)*(-5*v**2 + v**2 + 3*v**2).\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 24*k**2 - 40*k + 391. What is the tens digit of m(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101100011100010101101 (base 2) to base 3\nAnswer: -2201222200002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -10) + (-30)\/(-14)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-12)\/n)\/n*n**(-1\/2))\/((n\/n**0*n*n)\/(n\/(n\/n**(12\/11)))) assuming n is positive.\nAnswer: n**(-361\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3402 (base 6) in base 12?\nAnswer: -562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 3*o + 0*o + 3)*(4*o - 1 + 2 - 2*o).\nAnswer: -2*o**2 + 5*o + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 398655 and 81.\nAnswer: 1195965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*h**4 - 2*h**2 - 439 wrt h?\nAnswer: -44*h**3 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 1 + 30 = -i, -2*s = 2*i - 2. Suppose -s*j = -15 - 20. Let t(o) = -5*o - 3. Let w be t(-2). Calculate the greatest common divisor of j and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2219184, -2219181, -2219178, -2219175?\nAnswer: -2219172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3*c + 9 = 0, -362*c = -5*d - 361*c - 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/93))\/(u\/u**(-12)))\/(u**(8\/3))**35 assuming u is positive.\nAnswer: u**(-3266\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -140*o**3 - 205*o + 233487?\nAnswer: -420*o**2 - 205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lllu when four letters picked without replacement from {l: 4, m: 3, f: 1, w: 5, u: 5}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 19*h**2 + 14*h - 73. Let t be r(19). Let k = -188 + t. Solve -k = 2*b - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 20*v + 44 - 9 = 0, 4*d = 3*v + 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - -57. Suppose o*d = 59*d - 27000000. Round d to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3337 - 125 = 0. Let v = 2709 - k. Suppose 2*s - 3*m - 513 + 76 = 0, 5*s - v = 4*m. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 35*k**2 - 1358*k - 33. Let j(l) = 19*l**2 - 679*l - 18. What is 6*i(n) - 11*j(n)?\nAnswer: n**2 - 679*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50330503 (base 6) to base 11.\nAnswer: 895205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 7b?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3, -7, -17, -33, -55?\n\"Answer: -3*d**2 + 5*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**6\/3 - 2*k**5 - 9*k**4\/2 - 14*k**3\/3 - 2*k**2 + 565. Factor c(f).\nAnswer: -2*f*(f + 1)**3*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 13ae?\nAnswer: -13ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - 2. Let q be 2\/a + 3\/(-6). Is q <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 705019.\nAnswer: 7, 23, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 24*d**3 + 27*d**2 - 543*d. Let f(c) = c**3 + c**2 + 49*c. Let j(t) = -42*f(t) + 2*s(t). Find the second derivative of j(l) wrt l.\nAnswer: 36*l + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5438 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -21\/3652 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 1300.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnv when three letters picked without replacement from {n: 10, v: 4}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26097?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15773, 31556, 47339?\nAnswer: 63122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 + 1450 = 13*n. What is the remainder when 343 is divided by n?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/14 - (-30755244)\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11571, -23098, -34625?\n\"Answer: -11527*v - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 679263 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -101? (a) 0.011 (b) 1 (c) -3571\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 159 - 154. Let x be 155\/2 - 3\/(-6). Suppose p + p = -i + 32, -w*p + x = 2*i. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8528033, -8528062, -8528097, -8528138, -8528185?\n\"Answer: -3*t**2 - 20*t - 8528010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g + j - 7, -5*j = -5*g - 25. Let u be (g - -1)\/(1\/(-10)). Let f = 0 + u. 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 817 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 26926 (base 10) to base 14\nAnswer: 9b54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 + 21*a**2 - 9*a + 27. Let b be j(-11). Solve -3*q + 1 = -2*d + 2*q, -b = d + 2*q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3)*j\/j**19*j*j assuming j is positive.\nAnswer: j**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - b = -30858, -2*z + 4*b + 42066 - 11218 = 0. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 19. Let s be g(12). Let d(b) = 1 - 5*b**2 - b - b**2 - b**3 + 7*b. What is the units digit of d(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 19*v**2 - 16*v - 35. Let l be q(18). Let s be 6 + l + (-6)\/(-1) + -4. Let y(o) = o**2 - 8*o - 8. Give y(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) -2\/7 (c) 0.06 (d) -0.3 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3359, -6472, -9325, -11918?\nAnswer: -14251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -10*y + 2 - 3 + 9*y. Suppose -4*s + 2*s + 8 = 0. Let r be u(s). Which is the nearest to 0.2? (a) -4 (b) 1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -240967, -240842, -240717, -240592?\nAnswer: -240467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19058 and 64662?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 6*c**2 + 7*c + 4. Let w be o(-6). Let s = 66 + w. Let t be (-7)\/s + (-18)\/(-8). Solve 0 = -t*u - 0*u + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5270*r + 5273*r - n - 10, -2*r - 2*n = -20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -544051 (base 6) in base 15?\nAnswer: -d4c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -34983.5 times -0.07\nAnswer: 2448.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1046 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 374*j + 3653. Give m(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89.4 + 103. Let n = -6547.606 + 6561. Let i = n - x. Round i to two dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (256 - 256 - 7*j)*((-2 - 1 + 4)*(2*j - 3*j - 2*j) + 5*j + j - 5*j).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 205345 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9805 divided by 5\nAnswer: -1961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23003625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r - 2120*r**3 - 13*r + 8*r**2 - 4262*r**3.\nAnswer: -6382*r**3 + 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 1 + 2*l - 1. Let g(x) = x. Let w = -18 + 23. Give w*g(f) - 3*y(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -497030803*d**6 + 2364*d**2 - 8*d - 243.\nAnswer: -59643696360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 58 + -79 + (3 - (-6 + 3) - 3)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/65 + 526494\/(-39). What is f rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15984)\/(-1260)*(-50)\/(-3). Which is smaller: 212 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 122 = -3*d - 0*l, -5*l = 5*d + 220. Suppose -3*r + 186 + 47 = -p, r = -p + 71. Let z = r + d. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**3 - 51*g + 15. Let k(w) = -86*w**2 - 2*w. Give k(s(n)).\nAnswer: -3096*n**2 + 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 548501627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84246 and 2956.\nAnswer: 168492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 30 = 5*z. Let r = z - -11. Let n = 6 - r. What is the remainder when n is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**6\/30 - 5*h**2\/2 - 4*h - 2. Let k(j) be the first derivative of s(j). Differentiate k(l) with respect to l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((-2*5)\/(-2)). Let g = 2 - 3. Let n = -0.06 + -4.94. What is the closest to m in -2\/15, n, g?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2154 - -26?\nAnswer: -2126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 809.2947 weeks?\nAnswer: 135961.5096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 30035107\nAnswer: 5\/30035107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5 minus -240.3?\nAnswer: 242.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*sqrt(448) + (1*sqrt(28))**2 + 1 + 1*sqrt(7).\nAnswer: 29 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4142d - -7?\nAnswer: 41436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29914 = -15*i - 8899. List the prime factors of i.\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2 = -13. What is the remainder when 103 is divided by (-4)\/(-3)*n + 22?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*o + v + 5, -4*o + 3*v - 24 = 0. Let s be 3172\/o*(-2 - (-28)\/8). Round s to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4341468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 14790840 to the nearest 100000.\nAnswer: 14800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**2 + 4*d - 1. Let w be 1\/4 + 195\/52 - -3. Suppose -8 = -4*f + 2*i, 3*f - w = i - 0. What is v(f)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 + 5327220*k**2 - 1418947664625*k - 8513877768750.\nAnswer: -5*(k - 532725)**2*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 4*s**2 - 10*s. What are the prime factors of j(4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w + 375. Let o be m(0). Round o to the nearest 10.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2431550 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -7, -177, 20, -11, -5 in ascending order.\nAnswer: -177, -11, -9, -7, -5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-799)\/(-170)*20 + 14\/10*(-7 - -2).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*f**5 - 2072*f**4 + 21443*f**3\/2 + 5160*f**2 - 3553*f\/2 + 121 = 0. Calculate f.\nAnswer: -2\/3, 1\/8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -59*(135079 + 7)\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16065 and 4896?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/5*(13\/4 + -2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**5 - 3*n**5 + 3*n**5 + (-2*n**2 - 2*n**2 + 2*n**2)*(2*n**2 - 3*n**3 - 2*n**2) + 2*n**5 - 2*n**4 + 2*n**4.\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 316716\nAnswer: -95014.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.592692 to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3290712 is divided by 1066?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4767052534?\nAnswer: 2, 41, 131, 443777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/((w\/(w\/(w**12\/w)))\/w))*w**(-2\/25)*w*((w*w*w**(1\/4))\/w*w*w)**(-18) assuming w is positive.\nAnswer: w**(-2379\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -904 = -51*j + 2870. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7113 - 1146. Let p = t - -99211\/12. Find the common denominator of ((-20)\/(-6) + -3)\/(-58 + 71) and p.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -761371*x**2 + 1228752 wrt x?\nAnswer: -1522742*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 != 249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 - m**3 + 2*m**2 - 7*m**2.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39d (base 14) to base 4.\nAnswer: 23113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, 42, 106, 170?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -197069500 to the nearest one million.\nAnswer: -197000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + k = 5*q - 10566, 2*k + 14086 = 4*q. Is q a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*u + 4*z, 5*u + 4*z - 1051 = -1054 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/4*(-7)\/112.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/5905?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-10)*(-15)\/(-6). Suppose -4050000 = t*y + 3*y. What is y rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -15. Let o(q) = -2*q - 1 - 3*q + 6*q + 5. Is o(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3*i - 4)*(1 - 2 - 5)*(-160*i + 53*i + 50*i).\nAnswer: -1026*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**3 + y**2 + 5*y + 5. Let k be v(-1). Suppose -n - 4*m + 6*m = k, 2*m - 28 = -5*n. Solve -n*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 11. Suppose -27 + 32 = 19*s - 109. What is the remainder when s is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -0*b - 2*b - 396, -3*b = 2*g - 147. Calculate the smallest common multiple of 1020 and g.\nAnswer: 13260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*i - 109 = 31 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 44 (b) -73.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 307 + -304. Suppose 4*g = -f*k - 14, -3*k = -5*k - 4*g - 16. Solve x = k*n - 4, -4*x = -n - 0*n + 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.211*-582.8\nAnswer: -122.9708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101210120 + -202101211?\nAnswer: -100121021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9548760 (base 10) to base 14.\nAnswer: 13a7c24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3991.\nAnswer: 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 370 and 1110?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (160\/75 - (-42)\/(-315)) + -21.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0979076 rounded to three dps?\nAnswer: -0.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 62 + j - 9 + 2. Is 13 a factor of o(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*d**2 + 25 + 100*d**3 - 8 + 24*d - 111*d**3 - 3*d - 2*d**2 wrt d?\nAnswer: -66*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 32*v**2 - 856*v + 23850. Give l(38).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 908870.9 * 4\nAnswer: 3635483.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 11*v - 54*v.\nAnswer: -65*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/5)\/m)**27\/(m**(-3\/4))**(-10\/13) assuming m is positive.\nAnswer: m**(-4287\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 7:09 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -32 (b) 4 (c) -0.301 (d) -4 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-258)\/(-33) - (-609)\/(-957)*(-4)\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -134\/7 - -684\/35. Let v = 11 - 9. Let k be 12\/8 - (-1)\/v. What is the nearest to -0.1 in k, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*m**4 + 89*m**2 - 17995*m?\nAnswer: 588*m**2 + 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004103 to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -51\/5 in 1, -3, -5\/41, 3, -5, -0.243?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-284)\/2201)\/(900\/(-1116)))\/(2\/(-45))?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 138 = -y. Let f = -30 - y. Solve a = -3*a - f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.1020699 to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -5*l**2 + 18*l - 28. Let w be u(-8). Calculate the highest common factor of 49 and w.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 71 + 35 = -50 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-3)\/(-6))\/(((-6)\/(-1))\/42492)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/36 + -2)\/(48\/(-3188160)*-180)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/89272 and -107\/60.\nAnswer: 1339080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 906048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 45443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 8*j - 4*j + 3*j + 2*j - 4. What is the remainder when f(2) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, -4\/7, -11301, 1\/2, 170?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 0 - 4 + 15*b + 5 - 6*b. Suppose -2*n - 5*r + 0*r - 28 = 0, -2*n = -5*r + 8. What is m(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63845 and 89383.\nAnswer: 446915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43491 plus -35?\nAnswer: 43456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 996907312?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 5*g + 22 + 11*g + 2*g**2. Let n be d(8). Let x(q) = n - 206 - 5*q. Let i(v) = -v**2. Determine i(x(f)).\nAnswer: -25*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -2\/3 (c) 0 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 6.2. Let p = 5.7999928 - r. What is p rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -4. Suppose -2*i + s = -2, -27 = -p - i. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -3*k**2\/2 + 3*k + 19. What is f(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**3 + 1072*j**2 + 50156*j + 49088 = 0. What is j?\nAnswer: -208, -59, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -22\/3, 3\/8, -3, -85 in increasing order.\nAnswer: -85, -22\/3, -3, 3\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/374*(-3)\/(-18)*4\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-114)\/(-6) + 992643\/(-72810) + (-2)\/12.\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**6\/360 - t**5\/8 - 19*t**3\/3 + t**2 + 18*t - 1. Let c(y) be the second derivative of x(y). Factor c(m).\nAnswer: m*(m - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.756 + 0.056. Let n = w - -62.7. Let s = n + -60.0015. What is s rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 33*m. Let s(v) be the third derivative of 0*v + 0*v**4 + 1\/60*v**5 + 18*v**2 + 0 + 0*v**3. Calculate h(s(k)).\nAnswer: k**4 + 33*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2 + 4 = 3*t, -2*h - 3*t = -7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27259796*s + 6620496 wrt s?\nAnswer: -27259796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1010.6 + 1011.2666. Round c to two dps.\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -367.6 times -0.1?\nAnswer: 36.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -28*r + 34. Let t(i) = -56*i + 70. Let s(p) = 13*h(p) - 6*t(p). What is the first derivative of s(w) wrt w?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1127 and 23661365.\nAnswer: 23661365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 4*k**2 - 4*k - 14. Let j be y(-4). Let s(q) = -16*q**3 + 5*q**2 + 7*q - 7. Let h(i) = 5*i**3 - 2*i**2 - 2*i + 2. Calculate j*s(l) + 7*h(l).\nAnswer: 3*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/9 (b) -2\/9 (c) 0.03 (d) 0.026\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (z + 3*z - 3*z)*(2*z - 2*z + z**2 + (-4*z - z + 4*z)*(3*z + 0*z - z) - 6*z**2 + 2*z**2 - z**2 + 3*z**2 - 2 + 2) as r*z**3 + g + o*z + y*z**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 1 - (1 - 0)) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1088 + -1085. Put 2, 0.1, m, -2\/3 in descending order.\nAnswer: m, 2, 0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 + 60*p + 180. Let w be t(-28). What is the greatest common factor of 8 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*a = 10, 0 = -3*z + 2*a + 5 + 9. Solve 4*q + 19 = 3*o, 0 = -5*o + q + z*q + 17 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**3 - 4*a**2 + 51*a + 9. What is the units digit of n(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.1 - 3. Let q = -10642.6 - -10642. Put 0.3, z, q, -3 in descending order.\nAnswer: 0.3, z, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 + 10*n + 30. Suppose -3 = 2*k + b, 5*b + 26 = -3*k + 11. Is 6 a factor of f(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide (1\/3)\/((-14)\/(-256830))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*u - 12. Suppose j - u*y - 106 = -3*j, 3*y = 4*j - 110. Suppose 17 = d - 2*t, -5*t - j = -3*d + 24. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (43*d**2 + 47*d**2 - 2*d - 35*d**2)*(d**2 + 2*d**2 - d**2) in the form u*d**2 + n + g*d + h*d**3 + w*d**4 and give w.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032206 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 7*d**2 - 5*d - 1. Let x be g(5). Let b be (-1)\/(-4) - (-42)\/x. Solve 3*f - b*f = -3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*w**3 + 77*w**3 - w**3 + 71*w**3 - 40*w**3.\nAnswer: 184*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**11\/h))\/(h\/((h**(7\/3)\/h)\/h)))\/((h*h**(11\/5))\/h**(-11)) assuming h is positive.\nAnswer: h**(-358\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 12*j**2 - 132*j + 645. Is 57 a factor of b(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*a = 4*n - 120*a - 9170, -a + 9149 = 4*n. Calculate the highest common divisor of 231 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3060\/81 - (1 + (-11)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*t - 508*t = -4402 for t.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -1450*o - 2957. What is g(-2)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (1 - (-7 + -5 - -20))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 778 - 326. Suppose -x + 3*g + 113 = 0, -a = -5*x + x - g. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 18 = 5*x - 3*x, 3*x + 23 = 5*w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -14. Let w = 92 + -275\/3. Let u = 953 - 950. Sort u, w, d in increasing order.\nAnswer: d, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -268*a - 3318. What is w(-9)?\nAnswer: -906","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/1629277 and -85\/751974.\nAnswer: 9775662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1280*z**2\/7 - 642574*z\/7 + 1004.\nAnswer: 2*(z - 502)*(640*z - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 42384 + -42332 - ((1 - 1) + 4 + (0 - -1))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/2 + 5*f - 11\/2.\nAnswer: (f - 1)*(f + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from mvmvvvv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 35*k**2 - 142*k + 11. Let g be j(4). Solve -4*a - 4*x + 4 = 0, -4*x + 2 = 5*a - g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 - 96 = -30*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (116\/24 + -9)\/((-6)\/12 - -1)\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 584491687 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 (-42)\/(-9) - (-28)\/21 - 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -668170 rounded to the nearest 10000?\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 853 divide 16971288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2145002848 rounded to four decimal places?\nAnswer: -0.2145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - q = 7, 3 + 0 = -3*l - 3*q. Let j = l - -8. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -65 in -0.04, -2, 6, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2450177029 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u - 5*p + 56 - 51 = 0, -5*p + 53 = -4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -208 + -92579?\nAnswer: -92782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 46\/5 of a milligram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/9 - 26*d**2\/9 + 812*d\/9 - 784\/9.\nAnswer: -2*(d - 14)*(d - 1)*(d + 28)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**(-9\/7)\/((d\/d**(-4)*d)\/(d*d**8)) assuming d is positive.\nAnswer: d**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 831941\/30 - 27734. Find the common denominator of k and -20\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-9 + 2 - -17)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/9 (b) -0.5 (c) 2 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + (-1 - 4))*(0 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 5 + 1. Suppose -5*m + q*m + 6 = 0. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 5*b**3 - 1271535*b**2 + 80839427040*b + 80840698580 = 0.\nAnswer: -1, 127154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2, -1\/10, 288, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1176, 1176, 1178, 1182, 1188, 1196, 1206?\nAnswer: 1218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -60456.9315 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1589 + -1589.4. What is the nearest to 0.2 in 0.3, c, -0.2, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(133)*-2 - sqrt(133)) + (sqrt(133) - (-2*2*sqrt(133) - sqrt(133))))\/(((sqrt(154)\/(-2*sqrt(11)) - sqrt(14)) + sqrt(14))\/sqrt(2)).\nAnswer: -22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.87806 to one dp.\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 41781, 167203, 376249, 668925, 1045237, 1505191, 2048793, 2676049?\n\"Answer: t**3 + 41806*t**2 - 3*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Suppose -t*b = -4*j, 0*b + 30 = 5*b + 5*j. What is the third derivative of -13*h**b + 13*h**4 - h**6 + 6*h**2 wrt h?\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 3 - -8 - -2. Suppose 3*m + 6 = -6, -2*m = x + 7. Calculate the greatest common divisor of h and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 - 591*g**2 + 29400*g - 28812.\nAnswer: 3*(g - 98)**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 23*z - 3*z.\nAnswer: 19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4259*i + 2823*i - 962*i = 25*i - 749685 for i.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, k: 7, l: 1, o: 8}. Give prob of sequence ok.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -5\/2*m**2 - 8*m + 1\/2*m**4 - 8\/3*m**3 - 3. Let l(t) = t**3 - 5*t**2 - 3*t - 5. Give 5*f(b) - 8*l(b).\nAnswer: 2*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 70?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*l + l + p, -3*p - 7 = l. Let x(v) = -v**2 - 12*v - 7. Let k be x(-6). Suppose -l*r = 5*h - 52, -3*h + 0*r = -r - k. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32230 is divided by 208.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*(-156)\/(-286) - 0\/(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463447 is divided by 231603?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2 (b) 1\/9 (c) -0.3 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1197 - -1808. Let h = v + -630.6. Round h to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 130*f**2 - 272*f - 2110. Let c be j(-7). Sort 2, 0, c.\nAnswer: 0, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5359911 millilitres to litres.\nAnswer: 0.0005359911","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 7:52 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) -2\/11 (c) -5\/3 (d) -2.97 (e) 2 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1338\/18 - -7 - (-2)\/3. Suppose 0 = 5*j - 4*t - 194 - d, 0 = -2*j - 5*t + 117. Does 28 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3348*l + 7648*l + 13319*l - 2*l**2.\nAnswer: -2*l**2 + 17619*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183, -377, -565, -741, -899, -1033, -1137, -1205?\nAnswer: -1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3002 - 22?\nAnswer: -3030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 434522.4 to the nearest one hundred.\nAnswer: 434500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f + 11. Calculate the remainder when w(-2) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 p when four letters picked without replacement from ppppppppspppppspppps.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.51 + 0.1372?\nAnswer: 8.6472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 5*s**2 + 5*s - 10. Let r be f(4). Let d be (-321)\/r + -1 + (-1)\/(-2). Let n = d + -49. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -19\/100 (b) 1\/14 (c) -15003\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -73942.\nAnswer: -23\/73942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 0*m**3 + 9\/2*m**2 + 6 + 2*m**4 + 0*m. What is the second derivative of s(b) wrt b?\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l**2 - 6*l**2 - l**2)*(-2*l**3 + 3*l**3 - 4*l**3).\nAnswer: 42*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 26*o - 22 = -21*o + 7, 2*o + 7 = 7*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + v**2 - 1)*(138*v - 138*v - v**3 - 8*v**2)*(-2 + 1 + 3).\nAnswer: -2*v**5 - 16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12.3, -1\/48, -3\/17?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/8)\/((-4)\/16). Suppose 0 = -w + 6*w - s. What is the least common multiple of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -5 (b) 43 (c) 0.1 (d) -8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a second in milliseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.767 + 217.567. Let u = o + -117.88. Let f = 101 - u. Round f to one decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6587 - 65.2113. Let y = -214 - -148. Let m = q - y. Which is the third biggest value? (a) -1 (b) m (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 11*u - 1 - 2*u**2 + 4*u**2 - u - u. What is the tens digit of m(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.08, 1, 1\/3, -2\/19, -1, 1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76224 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 c = 16342 - 13173. Which is smaller: c or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 72 + -292?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 15. Let q(x) = x**3 - 3*x**2 + 5*x - 4. Let c be q(3). Is 3 a factor of i(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*1)\/((-41)\/((-1722)\/21))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3\/2, 0.5, 0, 166, 19 in decreasing order.\nAnswer: 166, 19, 3\/2, 0.5, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 4, -2, -10, -20?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 o, and 1 p when four letters picked without replacement from {q: 2, h: 1, p: 1, l: 6, x: 2, o: 5}?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3556 (b) 4 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -9 - (-2 - -9)) + 6 + (5 - 15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1628107 and 149981.\nAnswer: 1807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -517842 at most as big as -4660573\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 95 = -2*w, -6*y + w = -4*y + 199. What is the tens digit of (y - -2)\/(9\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 2200?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 6:22 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1239, -2057, -2065, -873, 1909, 6671, 13803, 23695?\n\"Answer: 65*w**3 + 15*w**2 - 1318*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-8 - (-4 + 4)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 28 + ((16 - 8) + 7 - (15 - 11))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3\/4 + 8647*i**2\/4 - 4852510*i + 767817531 = 0. What is i?\nAnswer: 171, 4238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 0, -5*d = -5*p - 0*p - 5095. Let h = 2618 + d. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41638, -40237, -38826, -37405, -35974, -34533?\nAnswer: -33082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*k + 71*k + 63 = 0 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8462 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) - sqrt(343)*-4)*1)**2 - (sqrt(700) - (sqrt(700) + 4*sqrt(700) + 5))**2.\nAnswer: -2650 - 400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-1 + 9)*-1. Let g = -1.1 - -0.1. What is the nearest to o in 2\/9, g, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/11 in 2\/3, 3\/13, -0.2?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 6:26 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 801 + 1767 + 221.\nAnswer: a + 2789","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 158990.\nAnswer: -9\/158990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - (-1)\/1) + (5 - -52). Suppose 17*b = 3*o + 12*b - y, 0 = 2*o + 3*b - 71. Solve -5*m + o = 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 3*a + 8. Let p(v) = v**2 + 2*v + 1. Let g be p(-1). Solve g = -o + a*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -11, -2, -46, 3 in descending order.\nAnswer: 5, 3, 0, -2, -11, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/2 + 139809*m\/2 - 1048230.\nAnswer: -3*(m - 46588)*(m - 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.073 - 474?\nAnswer: -474.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 158414539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20501 - 275*d + 20501)*(1 - 5 + 0 + 3 - 4 + 0 + 3 - 4 + 0 + (-2 + 7 - 3)*(5 + 0 - 3)).\nAnswer: 550*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.82 (b) 0.5 (c) -3 (d) 0.19 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -25. Let i = s - -15. Let v(o) = o**2 + 14*o - 18. Let q be v(-15). Which is the second smallest value? (a) i (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/4)\/7*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4 - 2080*k**3 - 12570*k**2 + 18800*k + 29288 = 0.\nAnswer: -7, -1, 2, 1046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.023661427 to three decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -139931\/15 + 9332. What is the common denominator of a and 47\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -4*h - 25, h + 31 = -t + 24 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 4:49 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -253 - -409. Calculate the highest common divisor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*v - 31, -3*v = 2*x - 2 + 1. Is x smaller than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/12*(2 - -4). Suppose -l + a + 6 = 0. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n + 8. Let w = 224 - 228. Let c(j) = 7*j - 18. Let r(s) = w*c(s) - 9*o(s). Let a(l) = 28*l. Give r(a(g)).\nAnswer: -28*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g*i**3*m**2 - 10*g*i**3 + 368*g*i**2*m**2 + 2*g*i + 253*i**3*m**2 + 5*i**2*m wrt i?\nAnswer: -12*g*m**2 - 60*g + 1518*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -16*q**2 + 3*q + 12. Let m(u) = 21*u**2 - 5*u - 17. Let b(l) = 5*m(l) + 7*z(l). What is b(-4)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(-4 + -12)*-1. Let y = l - -38. Let f be (y + 19)\/((-2)\/(-3200)). Round f to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, c: 3, p: 5, b: 2, g: 1}. What is prob of picking 2 c?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/40 and (-4208)\/2520 - 12\/42?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + d**2 + 3*d + 1. Let x be z(-2). Let n be -3 + x + -1 + -1. Let t(m) = -4*m - 2 - 2*m**2 + n*m + 6*m. Give t(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.51725 to 2 dps.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6*r + 4. Let c(b) = -1. Let x(z) = -12*c(z) - t(z). Suppose 0 = -4*a - 25 + 41. What is the units digit of x(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 2*d + d = -1, 2*b - 5*d + 8 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 495203977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w = -61*w + 62*w - 156 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 10*z**2 + 11*z + 4. Let l be o(9). Let j = l - 16. Let h(d) = d**3 - 6*d**2 + d + 6. Let k be h(j). Solve 4*u = -0*u - k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18858863 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(2) - sqrt(2)*-1)*6.\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 4*i + 3 + 1, 2*f = 3*i. Let j be f\/((-98)\/(-45) - 2). Is -16 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, d: 2, t: 5, p: 1, g: 2, r: 1}. What is prob of sequence oto?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -5*b - 4*k, -b + 3*k - 11 = -2*k. Let a = -5 + b. Suppose -90 = -4*l + 2*r, -3*r = 2 + 13. Calculate the greatest common factor of l and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.977 rounded to zero decimal places?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.79 + -173476625\nAnswer: -173476625.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 4 = p. Sort p, -7, 0.4 in ascending order.\nAnswer: -7, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17140*-2.1\nAnswer: 35994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((2\/(-28))\/(-1))\/(37\/74))\/(-1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4238205 is divided by 128?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 680 and 8020.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*l - 7*l. Let r(a) = -a**3 + 3*a**2 - 2*a - 2. Let w be r(2). Let u(o) = 3*o + 2. Let g be u(-2). Sort w, g, l in ascending order.\nAnswer: g, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 18*z**2 - 2. What is the units digit of j(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*1\/1)\/((-44)\/((-1496)\/(-238)))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 230421 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 - (408\/108)\/2.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.37*2231\nAnswer: 825.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60665820 + 50034275 = 151*n - 12057318. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*m**2 + 162*m**2 - 39*m**2 - 40*m**2 - 42*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**4\/24 - a**2. Let h be 5*20\/6*105\/70. Let i(d) = 74*d - h*d - 23*d - 28*d. What is l(i(w))?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2160?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48004*i**5 + 47982*i**5 - 97564*i**5 - 7458*i - i**4 wrt i?\nAnswer: -31560*i**3 - 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 19. Suppose c = 2*o + 2. Suppose x = o*x - 12. Solve -3*h + 0*l - 16 = -l, -h + 2*l = x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 889, 1616, 2239, 2752, 3149?\n\"Answer: -q**3 - 46*q**2 + 872*q + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*p + i - 7, 0 = 4*p - i - 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 936 is divided by 79.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/16)\/(5\/300). Let h be 8\/(-10) - (-9)\/u. Is -8 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(20 + -7) - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 591768.\nAnswer: 2, 3, 8219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58*(-9)\/(-12))\/3*(-1000)\/500?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0*w + 14. Let t(j) = 9*j**2 + 7. Let m(y) = -5*y**2 - 4. Let s(o) = w*m(o) + 4*t(o). Let b(v) = -3*v. What is s(b(k))?\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 95 = -4*u, 2*v + 0*v + 90 = 5*u. Suppose 0*q - m = -3*q + 35, 0 = -2*q + 4*m + u. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-244)\/(-28) + 6\/21 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -405 - -391 - (0 + -7 + -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -59*c**4\/4 - 2*c**3\/3 - 7*c**2\/2 + 52*c + 101. Let l be f(13). What is l rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 596346 divided by -6\nAnswer: -99391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c + 2 = 0. Suppose n + 1 = 2. Is n equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18851814623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -57196.035 rounded to the nearest one thousand?\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/10*-5)\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/567, -1, -2\/23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 2*d = -106 + 121, -27 = -2*a - 5*d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -167*s + 23. Let h(z) = -166*z + 21. Let t(r) = 2*h(r) - 3*y(r). Does 32 divide t(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21434234, -21434233, -21434232, -21434231, -21434230, -21434229?\nAnswer: -21434228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-21))\/((-9)\/((-27)\/(-2))).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -6799 in decreasing order.\nAnswer: 5, -3, -6799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*r + 4*b - 130, 46 = r - 4*b. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -331.8 + 330.8. Which is the nearest to t? (a) -4 (b) -2 (c) -13 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 9*k = -63. Let j be k\/(-49)*1*7. Suppose 3*q = -j*r + 35 + 28, 3*q - 3 = 0. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 5:02 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/29 in -4, -4114, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 199 + -195. Sort x, 5, 3 in decreasing order.\nAnswer: 5, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j + 46. Let y(i) = -13*i - 275. Let t(q) = 6*s(q) + y(q). Let v(x) = -x**3 + 3*x**2 + 7*x - 5. Determine 4*t(w) + v(w).\nAnswer: -w**3 + 3*w**2 + 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 58 - 10. Calculate the highest common divisor of 24 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + 0 + 5 - -5*(sqrt(363)*-2 + sqrt(3)))**2 + (sqrt(384) + sqrt(6))\/(-2*sqrt(242)) + 3.\nAnswer: -20909*sqrt(3)\/22 + 27103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -210*k - 79. Let t(p) = -210*p - 69. Determine 8*t(x) - 7*w(x).\nAnswer: -210*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, n: 12, k: 2}. What is prob of picking 1 k, 1 n, and 2 p?\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 484*d - 2850. Determine y(6).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 5*s = 0. Let d be 2\/(-6) + s - 2\/(-6). Suppose 3*m + 2*r = 4*r + 20, -5*m + 4*r + 36 = d. Solve -m*f - 6 = -18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 - -0.39. Let a = i - 0.7. Let v = -0.06 - a. Round v to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -48. Suppose -3*t - 157 = -3*x - d, 0 = 3*t + 4*x + 89. Let c = -129\/4 + 37. Find the common denominator of c and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70375668.\nAnswer: 2, 3, 11, 533149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x + 8. Determine f(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(44)\/(sqrt(8)\/sqrt(2))*3*4 + (sqrt(704) - 3*-2*sqrt(704) - (sqrt(704)*2 + 5))**2.\nAnswer: -388*sqrt(11) + 17625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1112 = -2*w + 5*p + 146, -2*p + 2540 = 4*w. What are the prime factors of w?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 5 - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1275624 by -159453.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 7*r**2 - 4*r + 12. Let a be h(-6). Suppose 5*d + 2*b = 88, a*d - 56 = -4*d + 2*b. Let y = -23 + 38. Which is smaller: d or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/2844 and 91\/158.\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 7\/2 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003295 rounded to seven dps?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 81459141805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 (base 12) in base 14?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -8 + -3 + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 9:41 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 + 97. Let y(a) = -a**3 + 10*a**2 - 2*a - 11. Let o be y(l). Let u = o - -90. List the prime factors of u.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 18. Let g = 9.2 - s. Round g to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -68, -580, -1470, -2738, -4384?\n\"Answer: -189*i**2 + 55*i + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 + -5.04. Let r = -3\/85 - 7\/85. Sort n, -1\/4, r in descending order.\nAnswer: r, -1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*s - s = 376, 5*i + s - 926 = 0. Let b = i - 196. Round b to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -14) + (-1 - (-3 + 0))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287473314?\nAnswer: 2, 3, 223, 214853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/75*5)\/(418\/7315).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 456 + -453. Suppose 10 = -4*h - 7*s + 2*s, b*h - 8 = 4*s. Solve 3*l - 6*l = h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 1973 = 2195. Let c = 33285\/16 + g. Calculate the common denominator of c and -77\/26.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 329607940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 6 + 0 = 2*w, -5*w - 5*q - 20 = 0. Let r be (-3372)\/w + (-2)\/(-2). Suppose r = -5*f - 4113. What is f rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.38 + -0.02. Let g = -0.5 - -0.9. Let c = p + g. Put 5, 2\/23, c in descending order.\nAnswer: 5, 2\/23, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - 18) + (-5 - -52).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -236, -235, -220, -185, -124?\n\"Answer: f**3 + f**2 - 9*f - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/(-6)*(14 + 312\/(-20)). Is -1.89 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, f: 15}. What is prob of sequence mf?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bykv when four letters picked without replacement from {k: 3, h: 1, b: 3, y: 2, v: 2, a: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387937678 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.8 + 8.7. Suppose 27 = -2*o - x + 6*x, 4*x - 25 = 5*o. Let a be (0\/2 - 4)\/o. What is the closest to 2 in -2\/7, k, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-12)*3\/1. Suppose 6*k = -3*l + 3*k + 9, -o*l = -k - 9. Suppose 0 = 4*z - 4*m - 7 - 5, -5*z = l*m - 42. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/10)\/(-2*3\/810). Let j = -49 - l. Suppose -j*s + 15*s = -10. Let r(y) = -6*y**2 + y + 1. Determine r(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 165366*c*w**3 - 27*c*w**2 - 9*c*w - 9*c wrt w.\nAnswer: 992196*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -50990, -50790, -50590, -50390?\n\"Answer: 200*m - 51190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(4 + 38) - (85\/238*-157 + 5)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11092.\nAnswer: 2, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 10*m + 2. Let z be g(-10). Suppose -6*n = -z*n. Suppose 5*f = -0*d - 2*d - 16, n = 2*d - 5*f - 24. Solve d*j - 7 - 3 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 4*f + 12 = 0, 38*f - 4 = -3*s + 33*f. Put -5, -140, 2, 3, s in increasing order.\nAnswer: -140, -5, s, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 + 1513*u**3 - 15221*u**2 + 13707*u.\nAnswer: u*(u - 9)*(u - 1)*(u + 1523)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 e when three letters picked without replacement from uuiijeuuuljir.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38852907133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*w + 804, w + 753 = 3*q - 47. List the prime factors of q.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(88) + 1*sqrt(88) + sqrt(88) + sqrt(88)) + sqrt(88))\/(sqrt(200)*1 + sqrt(200)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 10*t = -15*t. Solve 0 = -4*m - v - 16, t = 55*m - 52*m - 5*v + 35 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k. Let l(d) = 10*d**2 + 14. Let r(p) = -2*p**2 - 3. Let a(q) = 3*l(q) + 14*r(q). Determine a(u(y)).\nAnswer: 50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 17\/22?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 77*p - 56*p**3 + 2*p**2 + 13 + 12 - 37 + 58*p**3 in the form s*p + i + o*p**2 + n*p**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -54*i - 178. Let u be g(-4). What is the greatest common divisor of u and 2242?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 444, -1, 7, 40, 1.\nAnswer: -1, 1, 3, 7, 40, 444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, f: 4, o: 5}. Give prob of picking 3 f and 1 l.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.14 (c) 5 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4896290209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2769?\nAnswer: 3, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(64\/6))\/(1\/24). Let g be 6*(-1 - 0)*(-12)\/s. Suppose 3*t = -g*t + 1456. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38\/39 + -4\/13. Which is the second smallest value? (a) -1\/4 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 3, -0.016, -2, -7, 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 54*x**2 + 57*x - 106. Calculate the remainder when 129 is divided by w(55).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -218, -5, 3.\nAnswer: -218, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**8\/60480 - d**7\/126 + 5*d**6\/3 - 38*d**5\/15 - 12*d**2 - 3. Let a(x) be the third derivative of l(x). Factor a(m).\nAnswer: (m - 60)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -19.11. Let b = -37.01 - -37. Let f = r + b. Sort f, 2\/9, -1 in decreasing order.\nAnswer: 2\/9, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from {j: 1, w: 2, z: 2, b: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -197354010*c**3 + 71985257 wrt c?\nAnswer: -592062030*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/3))**33*u*u\/(u**(-3)\/u)*u**(-6) assuming u is positive.\nAnswer: u**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4\/4 - 61845695*i**3\/4 + 185537115*i**2\/4 - 185537125*i\/4 + 30922855\/2.\nAnswer: -5*(i - 1)**3*(i + 12369142)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ru when two letters picked without replacement from rupururpudp?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -9. Let s = -152 - -123.4. Let t = s - -28.5. What is the second biggest value in v, -6, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 481981 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 249502 and 181456.\nAnswer: 1996016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 566868, 566855, 566842?\n\"Answer: -13*u + 566881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**8\/336 + h**7\/210 + 1363*h**6\/60 + 1685*h**4\/24 - 8312*h**2. What is the second derivative of n(w) wrt w?\nAnswer: 20*w**3 + 12*w**2 + 16356*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 6.9. Let f = -282939\/565886 - 2\/282943. Let g = 1 + -1.4. Which is the nearest to z? (a) -1\/13 (b) f (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**6\/420 + i**5\/210 - 65*i**4\/84 + 3*i**3 - 621*i**2. Factor o(m).\nAnswer: 2*(m - 7)*(m - 1)*(m + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35340 by 570.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15368355 to 2 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7289 is divided by 525.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k - 11*k - 7*k)*(-4*k**2 + 2*k**3 + 4*k**2) to i*k**2 + j*k**3 + p*k**4 + b*k + a and give p.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnvvnnnnnvnnnvvnnvv. Give prob of picking 2 v and 2 n.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3284 and 40.\nAnswer: 32840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -4*h, -8*h + 5*g = 13*g - 4*g + 36 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(-1)*y)*y*y**(-7\/2) assuming y is positive.\nAnswer: y**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-18)*-2)\/((-16)\/((-816)\/(-17))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-7))\/(((-5)\/24)\/(165\/(-660))).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 1. Suppose 11*n = 9*n - 12. What is w(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.112*840\nAnswer: 94.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2103 - 1049 - 1424*y - 1054 to s + v*y and give v.\nAnswer: -1424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.656843 and 1204585.\nAnswer: 1204585.656843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4485 divide 1913780895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -19 + 4 + -11\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 10*c**2 - 9*c - 18. Let n be y(11). Let t be (3 + n + 38)*5. What is the highest common divisor of t and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200) - (2 + sqrt(200) + -1 + sqrt(200)).\nAnswer: -10*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 5, -357 in increasing order.\nAnswer: -357, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -47, 2, 36 in decreasing order.\nAnswer: 36, 4, 2, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 222270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**4\/4 + 5*c**2\/2 + c. Let j(y) = y**2 + 17*y + 20. Let o be j(-16). Let p be h(o). Round p to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307104 at most as big as 1307104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*c**4 - 8*c**3 + 35*c wrt c.\nAnswer: 72*c**2 - 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**3 - 160*h**2 - 1072*h - 1472 = 0?\nAnswer: -4, -2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11591 (b) 5 (c) 4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llhh when four letters picked without replacement from bhlhlllblllll?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3\/4, -16, 1, -98, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8143 + -23292723143.\nAnswer: -23292731286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19855 minus 0.02995799?\nAnswer: 19854.97004201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i + 7. Let d be o(1). Suppose -11*x + 4453 = -6*x - 3*g, d*x - 2*g = 1782. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1619)\/(-7) + 2\/(-7). Let i be -10*(-11)\/10*2. Suppose 0 = -i*y + 25*y - d. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1186, -4888, -11074, -19744, -30898, -44536, -60658?\nAnswer: -79264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153221 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 2*o**2 + 0*o**3 - 1 - 7\/10*o**5 - 37*o + 0*o**4. What is the derivative of x(b) wrt b?\nAnswer: -42*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 10, d: 4, h: 1, a: 1, l: 4}. Give prob of sequence djah.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 8*z + 5. What is k(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123299 is divided by 30816.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -165\/13 bigger than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 23*y - 7. Let i(p) = 2*p**2 - 45*p + 15. Let u(n) = -4*i(n) - 7*s(n). Suppose 0 = -2*t - t + 45. What is the units digit of u(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - b - 2713 = 0, 3*b + 1007 = 4*w - 2612. Is w\/12*3\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 492*n + 9173. Let z be x(-17). Which is smaller: z or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 75b8d + 1?\nAnswer: 75b8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -1473*p + 1598. Is w(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**5\/7 - 5*t**4\/7 - 29*t**3\/7 + 37*t**2\/7 + 4*t - 32\/7 = 0.\nAnswer: -4, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24c84a (base 16) in base 15?\nAnswer: 32939a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 947 - -2352. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 382 or -304?\nAnswer: -304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -2*b**3\/3 + 1. Let z(j) be the third derivative of j**4\/8 - 17*j**2. Determine z(a(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10, -113, -396, -949, -1862, -3225, -5128?\n\"Answer: -15*v**3 + 2*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50394 is divided by 3148.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261479739 divided by 5.\nAnswer: 261479739\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8920, 71353, 240756, 570595, 1114336?\nAnswer: 1925445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/((-42)\/4) - (785\/(-15) - 1). Let p(b) = 25*b - 2. Let k be p(-2). Let t = k + z. Solve 3*i - t = 4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 14c414?\nAnswer: 14c410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1635, -12133, -40343, -95121, -185323, -319805, -507423?\nAnswer: -757033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 539 + 540 = 0, 13*n = -3*h - 25 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 5, 1\/163, -0.0707?\nAnswer: -0.0707","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 2:43 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3 = -0*f - f, 15 = 2*g - 5*f. Let p(z) = z**3 - 5. Calculate p(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -39a?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199, -399, -599, -799?\nAnswer: -999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3077319776 and 29.73?\nAnswer: 3077319805.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -22.4. What is the biggest value in r, 5, 1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.4864 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5607 + -12\nAnswer: 5595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2674, -2637, -2576, -2491, -2382, -2249, -2092?\nAnswer: -1911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 570?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 741 = -4*w - 983, -3*w + 887 = 2*o. List the prime factors of o.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2 - 40*s + 2. Let z(x) = -13*x. Calculate z(l(y)).\nAnswer: -52*y**2 + 520*y - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 791?\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*g - 113841687 - 5935427 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2524\/(-10)*(-24)\/16. Let q = 11543\/30 - z. Calculate the common denominator of q and 2\/10*1480\/96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a centimeter in millimeters?\nAnswer: 146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, -259726, -1.\nAnswer: -259726, -9, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 2*j**2 + 25*j + 48. Let w be ((720\/(-42))\/(-6))\/(14\/(-49)). What is the units digit of l(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*i**2*r**4 - 10*i**2*r**2 - 25200*i*r**2 - 2599*r**6 wrt r?\nAnswer: -864*i**2*r - 311880*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7476 - 7381. Sort q, 1.4, 5 in descending order.\nAnswer: q, 5, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1 + 0.5. Let m be 4\/22 - 456\/(-33). Let c be (-3)\/9 - m\/30*-1. What is the biggest value in 0.3, d, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 1 = -k, 2*b - 5*k + 5 = 0. Let j be (1 - b) + (-20262)\/4*-458. What is j rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -7. Let y be -1 + k + -3 + -1. Suppose y = 3*d + 4*f - 116 - 289, 686 = 5*d + 3*f. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93 + 8*u + 93)*(-2*u + 2*u - 2*u - 4 + 4 - 3*u + (-1 + 4 - 2)*(-1 + u + 1) - u + 2*u - 3*u - 279 + 279 - 6*u)*(4*u**2 - u**2 - u**2) - 2*u**4 + 3 - 3.\nAnswer: -194*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1939 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005547363 to four decimal places.\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mndel. What is prob of sequence elmd?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12786609 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 33 in decreasing order.\nAnswer: 33, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 2386*n - 166630. Determine f(72).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (-165)\/35)\/(306\/(-119)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 + 3*h - 4. Let p(w) = -2*w**2 + 8*w**2 - 62*w - 5*w**2 + 64*w - 4*w**2 - 4. What is 3*p(v) - 2*x(v)?\nAnswer: -5*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3293759 + -105411709\/32. Let p = -357 - s. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**3\/7 - 6603*t**2\/7 + 3590001*t\/7 + 47792511\/7 = 0. What is t?\nAnswer: -13, 1107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 + 25*x + 16. Suppose 2*v + 0*v = -2*n - 30, -3*n - 62 = 4*v. Let j be a(v). What is the greatest common factor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.3, 0, -5\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107 + (-116 - (-10 + -65)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473785525.\nAnswer: 5, 18951421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**6\/120 + c**5\/40 - c**3\/12 - c**2\/8 - 3*c. Find h, given that p(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/9, 5\/8, 4, 1\/4 in descending order.\nAnswer: 4, 5\/8, 1\/4, -5\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1201475 divided by 4369\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -1. Suppose 4*x + x - 20 = 0. Let o(t) = -x + 25 - t - 13. Determine -5*i(h) - o(h).\nAnswer: h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2072838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-1\/3)*p\/p**8*(p\/(p*p\/(p**(-1\/7)*p)))\/(p*p**(-3\/5)) assuming p is positive.\nAnswer: p**(-722\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t - 2*t**3 - t + 3*t**3. Let r(j) = -2*j**2 - 5*j. Let k(z) = -z**3 + 9*z**2 + 20*z. Let s(b) = 2*k(b) + 9*r(b). What is -5*d(w) - 2*s(w)?\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 19*l**3 + 2*l + 1. Let p be y(-1). Let g be (p\/15)\/((-2)\/3). Let q be (g\/4)\/(6\/4). Which is the smallest value? (a) q (b) 0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13698 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 2499*j**5\/4 + 7*j**3 - 27*j**2 - 9173*j. Find the second derivative of q(r) wrt r.\nAnswer: 74970*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.578 + 46.698. Let v = -103.61 - g. Let u = v + 149. Round u to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 23. Let o(s) = s**2 + 11*s + 3. Let p be o(i). Suppose 0 = 2*r - r - 24. What is the greatest common factor of r and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (50\/(-4))\/((-160557)\/(-53520) + -3). Round g to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y**2 + 8. Let q(x) = 5*x**2 - 8. Determine 3*f(h) + 4*q(h).\nAnswer: 2*h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 2076082?\nAnswer: 8304328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/80*(-2)\/7.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -1.41701.\nAnswer: -0.0566804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - -12*(-16)\/(-4). Let h(c) = -21*c**2 + 15 + j*c**2 - c - 22*c**2. What is h(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -8*i - 9. Does 9 divide u(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 5 + 6 - k)*(-8*k - 3*k - 5*k).\nAnswer: 16*k**2 - 16*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 8) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -213 + 215. Solve u + 7 = -4*u - 4*a, 0 = d*u - 4*a - 14 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.002 - 11873.\nAnswer: -11872.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 165140, 0.\nAnswer: -2\/13, 0, 165140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -0.776.\nAnswer: -3.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 2\/4*-3*2. Suppose 2*j - o - 173 = 0, -a*o = -j - o + 88. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 6 = -10. Does 14 divide (-104)\/z + (-6)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (1391 + -1392 - (42 + 2 + -1))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2409716 is divided by 788?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19743*v**5 + 39151*v**5 - 23746*v**5 + (-v**2 + 0*v**2 - v**2)*(0*v + 0*v - 2*v**3).\nAnswer: -4334*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 0*q**5 + 0*q**4 + 23\/3*q**6 + 0*q**2 + 0*q + 32\/3*q**3 + 4. What is the third derivative of o(t) wrt t?\nAnswer: 2760*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + 1038 + 1007 + 1041 - 4124 + 1038. Let m(r) = 217*r + 160*r - 52*r. Give m(p(o)).\nAnswer: 650*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-199584)\/(-6480) + 5\/((-150)\/(-66)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16512, 15958, 15026, 13710, 12004, 9902, 7398, 4486?\n\"Answer: -y**3 - 183*y**2 + 2*y + 16694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**2 + 11 - j**2 - 2 to r + a*j + o*j**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6705193447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10028 (base 9) to base 13\nAnswer: -2cc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101111001011101 - -111101011000?\nAnswer: 1110110110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*o - 7, 3*o + 1 = f - 1. Calculate the smallest common multiple of 21 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 2:18 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, 1\/3, -1 in decreasing order.\nAnswer: 3, 1\/3, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmm when three letters picked without replacement from {m: 2, e: 1, z: 2, g: 1, q: 1, p: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 227 - 615 + 108 - 2*c + 0*c + 2*c - 3*c + (-2*c + 3*c - 2*c)*(0 - 1 - 1) - 4*c + c + 4*c - 1 + 1 - c.\nAnswer: -c - 280","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/3))**(-49) assuming d is positive.\nAnswer: d**(-196\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + p**2 + p - 3. Let m be a(0). Let q(z) = -159*z - 18926. Let g be q(-119). Sort m, -4, 2, g in ascending order.\nAnswer: g, -4, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -40 (b) -3\/2 (c) 0.4 (d) 9\/10 (e) -4 (f) 63 (g) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02627 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 6*g - 3. Let t be l(-7). Let h = 4.42 + -4.32. Suppose z = 115 - 92. Which is the closest to h? (a) -0.3 (b) t (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*g - 9170 = 128*g. Suppose -g = -2*u - 208. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/9 - 322*w**2\/9 - 4576*w\/3 - 6760.\nAnswer: -2*(w + 5)*(w + 78)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 180, 448, 694, 912, 1096, 1240, 1338?\n\"Answer: -b**3 - 5*b**2 + 290*b - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 5*b**2 - 6*b + 2. Suppose 14 = 2*l + 4. Suppose 4*m - 62 = -2*i, 3*m - 13 = l*i - 142. What is the smallest common multiple of p(-6) and i?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + 4 - (-33)\/3. Let w = 14 - r. Let z = w + -14\/3. Is z at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 3739?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*a**3 - 65*a**3 - 65*a**3.\nAnswer: -13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 279547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -90, -951 in ascending order.\nAnswer: -951, -90, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -250*n**3 - 313 with respect to n.\nAnswer: -750*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(405) + 3 + sqrt(405))*-3*3)**2 + (sqrt(160) - -1*sqrt(160))\/(sqrt(8)\/(-1*sqrt(4))).\nAnswer: -4382*sqrt(5) + 33534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001001 (base 2) to base 7.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.4+-127536\nAnswer: -127537.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/((-8970)\/52) - (1 - 370\/506).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1400, 1425, 1496, 1637, 1872, 2225, 2720?\n\"Answer: 4*x**3 - x**2 + 1397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 24. Let x = m + 12. Let i be ((-36)\/10)\/((-4)\/20). What is the highest common divisor of x and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1377, -4, 3, 5, -3 in ascending order.\nAnswer: -4, -3, 3, 5, 1377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - (-8)\/(-20)) + -4 + -2. Which is smaller: -11 or d?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*f = 0, 2*f = -5*d - 2*f - 70. Let y(u) = 5 - u**2 + 5 - 9*u + 2. What is the units digit of y(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18592433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.55042988 to 3 decimal places.\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k**2 + 1 + 0*k**3 - k**3 + k + 0*k. Suppose -4*t = 79 + 161. Let v be ((-4)\/(-6))\/(8\/t). Calculate s(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p**5\/11 - 124*p**4\/11 + 6*p**3 + 496*p**2\/11 - 168*p\/11 = 0. Calculate p.\nAnswer: -21, -2, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -376 divided by -47?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**5\/3 + 44*o**4 + 584*o**3 - 13840*o**2\/3 + 9984*o - 6912 = 0. Calculate o.\nAnswer: -36, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2382324901 to the power of 1\/2, to the nearest integer?\nAnswer: 48809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + 3. Suppose 356 = 3*f + 335. Suppose f*y + 24 = i. Do -5\/8 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20604 is divided by 2932?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 103? (a) -1\/3 (b) -3\/7 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 65097608.\nAnswer: 65097607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2191998.\nAnswer: 2, 3, 365333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -469886*c**2 + 1056286.\nAnswer: -939772*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4\/5, -1\/17, -8, 0.13, 0.2?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 14 + 8)*(-d - 2*d + 0*d) + 2*d + 3*d + 0*d.\nAnswer: 59*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 368946.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 240\/300*(-10)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1869 and -2.9102?\nAnswer: 5439.1638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 147*h - 35\/6*h**3 + 0 + 0*h**2. Let f(c) = -9*c**2. What is g(f(b))?\nAnswer: 315*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 105 (base 6) to base 3\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/9 (b) 1349.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 11 = 4*f + 35, 14 = k + 3*f. Solve 4*u = -k*u - 48 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0*w + w)*(-2*w**3 + 0*w**3 + 0*w**3).\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 6*n + 4. Let j be p(-6). Is 4\/6 + j\/3 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.18, -1, 2 in descending order.\nAnswer: 2, 0.18, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of x**4 + 51*x - 244 wrt x?\nAnswer: 4*x**3 + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 7:54 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 3846101.809 to the nearest 10000.\nAnswer: 3850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2640 and 3630?\nAnswer: 29040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.2. Let l = 1022 - 455. Let m = 565 - l. Which is the closest to h? (a) -1\/7 (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - a - 141, -4*a + a - 283 = -4*i. Let n be (i\/15)\/((-2)\/(-51)). Suppose -3*w + n = -211. Does 24 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-14) + (-508)\/(-14). Let y(w) be the first derivative of -9*w**2\/2 + 3*w - 12. Let q be y(-1). What is the highest common divisor of q and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 - 65 + 18 + 116)*(-39*r - 10*r - 34*r) to a + n*r and give n.\nAnswer: -6889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2835*x - 2824*x - 990 for x.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2)\/z)\/z*z)\/(z\/((z*z**(2\/17)*z)\/z)))\/(z*z**(5\/3)\/z*z*((z\/(z*z**18))\/z*z)\/z) assuming z is positive.\nAnswer: z**(686\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 155*s - 1110. Let y be t(8). Calculate the greatest common divisor of y and 962.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/547? (a) -0.2 (b) -4 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -o - 3*v - 2*v, -3*o - 79191*v = -79190*v - 30 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 29 (b) -82 (c) -7 (d) 1\/4 (e) -3 (f) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a hour in seconds?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.054+0.046\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -11. Let b(t) = 14999*t - 6. Let o be b(h). Round o to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 8:09 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 555 and 5760.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2011127 - -19?\nAnswer: -201110b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (164\/246)\/((-1)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39550.008 rounded to the nearest 1000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 1359*y**2 - 2725*y - 4083.\nAnswer: (y - 3)*(y + 1)*(y + 1361)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (19 - -3) - 1 - (27 + 1).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 37*q. Let y(r) = -4*r**2 + 171*r - 9. Determine z(y(u)).\nAnswer: -148*u**2 + 6327*u - 333","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -475067615*y**3 - 74185*y + 8174 wrt y.\nAnswer: -2850405690*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -321332231 (base 4) to base 2\nAnswer: -111001111110101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033033 (base 4) in base 16?\nAnswer: 13cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 - 6. Let p(b) = -5*b**2 + 13. Suppose -15 = 245*g - 240*g. Give g*p(t) - 7*r(t).\nAnswer: t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 46 = 2*r, -115 = 2*r - 7*r - 3*q. What is the greatest common factor of r and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-408)\/(-264))\/((-784)\/154 - -5)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 397300 or 397302?\nAnswer: 397302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -5. Let g(o) = o**3 - 8*o**2 - 3*o + 28. Let y be g(8). Suppose -8 = 2*n + 5*q - 64, 0 = -p*n + y*q + 130. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9 + 7\/(-21)*-27. Let g = 27\/175 - 36\/25. Which is smaller: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*c - 95*c + 1906*c**2 + 60*c in the form f*c + b*c**2 + l and give b.\nAnswer: 1906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 8*h**2 + 15*h - 9. Let n be o(6). What is the tens digit of (1*361)\/(((-72)\/(-8))\/n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*k + 1 - 1)*(0*k - 4*k + 7*k).\nAnswer: -144*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3678267 divided by -64531?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -8*i**2 + 0*i**6 + 0*i + 2*i**3 + 0*i**5 + 0*i**4 + 0 + 11\/210*i**7. What is the derivative of z(h) wrt h?\nAnswer: 44*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x + 2. Let p(b) = -b**2 - 3*b - 3. Let t(n) = 3*m(n) + 2*p(n). Let z(r) be the first derivative of 8*r**3\/3 - 5170. Calculate t(z(y)).\nAnswer: -128*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(756)*4)\/((sqrt(84) - ((sqrt(84) - -3*sqrt(84)) + sqrt(84) + sqrt(84)))\/sqrt(12)))**2.\nAnswer: 1728\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476428?\nAnswer: 2, 119107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 432*i + 434*i, 0 = 21*i - 126 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/6 - 2)*2. Let k(x) be the first derivative of 32*x**3\/3 + x**2 + x + 4. Is k(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -0.172?\nAnswer: -0.0516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**0*l*l**(-2))**4\/((l**(-1\/4)\/(l*l**(-1\/7)))\/(l\/(l*l**(-1\/4)))**(-3\/22)) assuming l is positive.\nAnswer: l**(661\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 + 7*o - 7. Let x be d(5). Let y = -15 - x. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/22 and (3\/8)\/((-252)\/(-408)).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 309\/8 (b) -2 (c) -3\/7 (d) -0.1 (e) 320 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -17, 2\/47?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1574.8 to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -226 - -225.5. Which is the third smallest value? (a) -9 (b) w (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55338 is divided by 988.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59366 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, -90, -207, -372?\n\"Answer: -24*y**2 + 3*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -46*s + 35*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-15)*2 + (-5 - -6). Sort 22, g, 0 in decreasing order.\nAnswer: 22, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*p + 51 - 40 = 0, 3*k - 3*p = 27. Solve k*v - 4*o = -18, 3*v - 95*o + 3 = -97*o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.054\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2067766?\nAnswer: 2, 191, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -201*h + 13679. Let v be r(68). Solve v*x - 14*x - 3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2667?\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**6\/90 + v**5\/60 + v**4\/24 - 16*v**3\/3 - 1. Let y(u) be the third derivative of h(u). Determine y(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1967267, -1967322, -1967377?\n\"Answer: -55*a - 1967212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.075496, -0.3 in descending order.\nAnswer: 0.075496, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*u - 30 = 0, -5*d - 5*u + 6*u = -27. Suppose -d*c - 1006 = -l, 4039 = 4*l - 6*c + c. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40 - 12*m - 21*m + 34*m - 59 - 518*m**2 wrt m?\nAnswer: -1036","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - 42. Let x(j) = -4*j. Give x(p(u)).\nAnswer: -8*u**2 + 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.3605548 + -6.2605784. Let g = 12.1 - j. What is g rounded to six decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 95 - 15. Let m = j + -1. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/5, -2\/63, 0.29?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 5*z**2 + 6*z - 3. Let u be q(6). Let a = u + 4. Is 14 a factor of (a + -2)*-1 - -27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1644?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3761 and 0.3?\nAnswer: 0.11283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + h + 15 = 0, -40 = 4*r + 90842*h - 90838*h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2287a (base 12) in base 5?\nAnswer: -2434144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1672 - 1670 + 3342 + 1345*w**2 in the form y*w**2 + n*w + t and give y.\nAnswer: 1345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 815719, 3262835, 7341325, 13051159, 20392307, 29364739, 39968425, 52203335?\n\"Answer: -5*h**3 + 815717*h**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -4. Let g(v) = v**3 + v**2 + 4. Let k be g(l). Solve 5*y - y - j = -18, 2*y + k*j = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzlzofzzofflnos. What is prob of sequence szln?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxhxv. What is prob of picking 1 v and 1 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*s**2 - 49 - 56*s**2 - 65*s**2 - 45*s**2 + 194*s**2 to j*s**2 + d*s + m and give j.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1539d7 (base 14) to base 15\nAnswer: e9444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82791886\/9 smaller than 9199099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -169205.7 less than -0.6?\nAnswer: 169205.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 9:48 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100100001011 - 1110111000010?\nAnswer: 1000101101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.01 (b) 4 (c) -6024660\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 17 - (-3 + 2)) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1751797348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k + 22. Let t be d(-5). Suppose -4*u + t*i + i = 0, 0 = u + 4*i. Suppose 0*g + 5*g - 40 = u. Solve -g - 12 = 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000202020210 - 11?\nAnswer: -1000202020221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -458*x + 37460. Give y(82).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 159.16 + -159.41. Let m = -1 - -0.9. Which is bigger: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -514222.44 and 2.493936?\nAnswer: 514224.933936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -58240, -466246, -1573794, -3730654, -7286596, -12591390, -19994806, -29846614?\n\"Answer: -58295*b**3 - b**2 + 62*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 80484 times -3.9?\nAnswer: -313887.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -145.001023 rounded to one dp?\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -112*h**4 - 46*h wrt h.\nAnswer: -1344*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -839948672 divided by 14816\nAnswer: -56692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -3*m + 1, -x = -4*m + 84 - 81 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4)**(2\/43) assuming j is positive.\nAnswer: j**(8\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 87.49\nAnswer: -174.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 43, 69, 95?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 25. Let t(r) be the third derivative of -r**5\/30 + 2*r**2 + 83*r. What is t(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 1. Let s = 0 + 2. Let u(b) = -4 - 8*b - 2*b**2 + s*b + 9. Let p(j) = -6*t(j) - u(j). What is the first derivative of p(i) wrt i?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 39. Let f(d) = d**2 + 8*d - 1. What are the prime factors of f(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 0*s + 5*s**2 + 3 - s**2 - s**2 + 2*s. Let l be n(-7). Suppose 2*a = -4*p + 52, 4*p - l = a - 6*a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 o, and 1 d when three letters picked without replacement from kdglldco?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*m - 16, -18 = -w - 4*m. Find the third derivative of l - l + w*l**4 + l**2 + l**2 wrt l.\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {o: 2, q: 16}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**4*i + 262*f**3*i - f**2*i + 158*f*i + 3*f + 2*i + 3 wrt f?\nAnswer: 24*f**2*i + 1572*f*i - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*f**6 - 15*f**6 + 13*f**2 + 14*f**2 - 21*f**6 wrt f?\nAnswer: -840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 852 is divided by 88.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6296, 6334, 6412, 6542, 6736, 7006, 7364?\n\"Answer: 2*t**3 + 8*t**2 + 6286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7573*c + 2929*c + 3921*c - 4161*c to s + a*c and give a.\nAnswer: 10262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 1:29 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**5 + 46*b**3 - 60*b**2 + 3*b. Let q(r) = -r**5 - r. Let l(v) = c(v) + 3*q(v). What is the third derivative of l(y) wrt y?\nAnswer: -60*y**2 + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 466? (a) -1 (b) 1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 6:38 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + 36*h - 36*h + (-h**2 - h + h)*(60 - 38 - 32)*(2 + 4 - 5).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = 2*o. Let j(u) = 4*u - 2 - 2*u + u - 2. Let p(i) = 4*i - 3. Let q(f) = -3*j(f) + 2*p(f). What is q(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, -4, 0.5, 2\/13 in ascending order.\nAnswer: -57, -4, 2\/13, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47985401 and 14997?\nAnswer: 4999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*48\/64*4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.2369?\nAnswer: -1.1845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -1, -3915 in descending order.\nAnswer: 1, -1, -2, -3915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 5:14 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 166 - 644 + 214 = 0 for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 508518 and 1314?\nAnswer: 508518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -302730000 rounded to the nearest 1000000?\nAnswer: -303000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -19961 and -0.1.\nAnswer: -19961.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u - 54 = 30. Let s(v) = 15*v + 17. Let o(b) = 7*b + 8. Let y(c) = 13*o(c) - 6*s(c). Calculate y(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -154, 14, 4 in descending order.\nAnswer: 37, 14, 4, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.85 and 2041.\nAnswer: -7857.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzrurrrrzmrrzrmrmzh. What is prob of sequence rzmh?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 29, -0.18044, -1, -2\/3?\nAnswer: -0.18044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*m - 129 = -12*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -164 (b) -3\/7 (c) 7.8 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 1:11 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**2 + 38*w + 15. Let r(j) = -j**3 + 5*j**2 + 11. Let i be r(5). What is the lowest common multiple of o(i) and 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1171222*z + 237*z**3 + 1171222*z - 7 to the form w*z**2 + d + a*z + m*z**3 and give m.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*s + 3*s. Solve 0 = h + s*p - p - 3, 5*h = -p + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001128544459 to 6 dps.\nAnswer: -0.001129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/10*i**2 - 1\/10*i + 1\/10*i**3 + 0 + 1\/10*i**4.\nAnswer: i*(i - 1)*(i + 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7*h*h**(-3)*h*h**5\/(h*h**(-1\/5)*h))**(1\/44) assuming h is positive.\nAnswer: h**(23\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286 = 12*i - 730. Calculate the remainder when 18869 is divided by i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1598347425.\nAnswer: 3, 5, 3319, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -29d (base 14) in base 2?\nAnswer: -1000010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 375.691469 rounded to the nearest 10?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -283 + 878. What are the prime factors of z?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/4939 - 676655\/29634. Suppose 230 = -5*n - 0*n. What is the common denominator of k and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -14. Let j(d) = d**3 + 7*d**2 + 11*d + 8. Let z be j(-4). Let p = o + z. Put 5, p, -4 in increasing order.\nAnswer: -4, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4185, 16720, 37611, 66858, 104461?\nAnswer: 150420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1803551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 41447273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1577 (b) 5 (c) 1\/28 (d) 6 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -81531*d**3*x + 2*d**2*x**3 + 3394*x**3 - 16 wrt d?\nAnswer: -244593*d**2*x + 4*d*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2776 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 t when four letters picked without replacement from {t: 2, n: 3}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/12*5\/((-15)\/12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - 0 - (-12 + -6 - -17)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10822 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492015528?\nAnswer: 2, 3, 6833549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**7\/210 - s**5\/50 + s**3\/30 - 5*s. Determine y so that v(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**2 + 68*x**3 + 34*x - 63*x**3 - x**2 + 34*x in the form a + w*x**2 + y*x**3 + s*x and give s.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97*f - 7*f + 66*f + 62*f)*(4*f**2 - 3*f**2 + 0*f**2) - 19*f + 20*f**3 + 19*f.\nAnswer: 238*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 21*m**2 - 1. What is the remainder when 1\/2 + 1380\/24 is divided by z(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -72.8238 and 0.3934.\nAnswer: -72.4304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -567 = i + 30. Let g = -317 - i. Suppose 7*v = 2*v + g. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 111013321321?\nAnswer: 111013321331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -273917 + -589523. Let m = h + 863440.0830049. Let n = m + -0.083. Round n to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6055 is divided by 75.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 14, y: 1}. Give prob of sequence kk.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -58067, -116133, -174199?\n\"Answer: -58066*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*c - 182 = -298*c + 830 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31864 + 4?\nAnswer: 31868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -858332*k**2 + 16*k + 48. Let z be t(-6). Round z to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*o - 55*o = 38. Let 0*v + 0*v**o + 0 - 2\/15*v**3 + 0*v**4 + 2\/15*v**5 = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9424 and 3040.\nAnswer: 94240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1793 + 2111. Calculate the greatest common factor of 6784 and p.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**5\/3 - 238*u**4\/3 + 1426*u**3 - 4806*u**2 - 50544*u + 285768 = 0.\nAnswer: -6, 9, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eighteen fifths of a millisecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 12. Suppose 2*n + 21 = 3*f, -2*n - 3*n = 4*f - 5. Let k(o) = -o - f + 4 - 1. Calculate k(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 0 + 44\/(-33). Let p = -1395\/11 - -127. Which is the nearest to p? (a) l (b) 6 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1823, 1754, 1685, 1616, 1547, 1478?\nAnswer: 1409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29149902 divided by 213.\nAnswer: 136854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*q + 20*q - 3*q**3)*(-10 + 10 + 5*q)*(4*q - q - q) + q**5 + 0*q**5 - 4*q**5.\nAnswer: -33*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.063, 0.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005340274 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 66*n**2 + 46. Let s be l(13). Suppose 0 = -h + s - 4359. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 78.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9, -5, -0.4 in ascending order.\nAnswer: -9, -5, -3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(162) - (sqrt(162)*1 - sqrt(162)))**2 - (-2 + sqrt(2) + 5 + sqrt(2))) - 1*((sqrt(200) + sqrt(200)*3)*1)**2.\nAnswer: -3043 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 104*f*x - 8670*f + 12*x**2 wrt x?\nAnswer: 104*f + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*((-66)\/12 - -5) + 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180) + (sqrt(180) - (sqrt(180) + sqrt(180)*2))*2)\/(sqrt(9)*-2*-6 - sqrt(9)))\/((sqrt(80) - 3*-2*sqrt(80))\/(sqrt(40)\/sqrt(80))))**2.\nAnswer: 9\/47432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/15)\/(6\/(-252)). Do 7\/3 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 111 + -105. Suppose -12*o + m + 30 = 0. Find j such that 1\/8*j**4 + 0 - 1\/4*j**o + 1\/8*j**5 + 0*j + 0*j**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/3)\/(346 - 350)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293961.\nAnswer: 3, 97987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 - -0.08. Let u = 15137.5 + -15137. What is the closest to -15 in 3, u, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**3 - 57*y**2 - 3218*y + 29157. Determine b(9).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323040 is divided by 4105?\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 + 6*y + 6. Suppose -15303 + 15292 = 11*m. What is u(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/2*(-48)\/(-9). Let h(o) = 2*o**2 - 10*o - 10. What is the remainder when h(v) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 - 18 = -24*j. Suppose -5*u - 4*q - q = -155, 0 = 4*u - 3*q - 103. Calculate the lowest common multiple of j and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6450 - -6450.04. Sort z, -5, 2\/35, 8 in decreasing order.\nAnswer: 8, 2\/35, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 9*w - 5. Let p = -190 + 279. Let l = p - 38. What is the remainder when l is divided by k(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8 + -8)*((-6)\/4 - -1). Sort -17, -1, t.\nAnswer: -17, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/110 + 5\/((-1056)\/64 - -18 - 14).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbbbxax. Give prob of sequence abb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 16*u**2 + 9. Let m be j(0). Solve -4*q - 2*b = 10, 4*q + 6*b = m*b + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((3*(-14)\/(-21))\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)*c)**27*c**(2\/25)\/c**(1\/10) assuming c is positive.\nAnswer: c**(-4051\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((-6)\/(12 - 6)). What is the remainder when k\/(3 - (-5)\/(-5)) - -68 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 9*q**2\/2 - 5*q - 11. What are the prime factors of r(12)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c816ae7 - -1?\nAnswer: -2c816ae6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384 = 4*m - 4*b - 1840, b + 1658 = 3*m. Calculate the remainder when m is divided by 130.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3124 times -142\nAnswer: -443608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**2\/4 - 77*f\/4 = 0.\nAnswer: -77, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -3 + 5 + 6*(1 + sqrt(1584))*3)*4)**2.\nAnswer: 117504*sqrt(11) + 8216080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**2 - 19*u + 56. Let s be q(12). Let z = s + -401. Solve -15 = -4*v - 5*b, z*b = v + 6 + 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 60\/330 - (432\/22)\/(-2). What is the tens digit of 129\/215 + 4754\/q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y**2 + 15*y + 12. Determine a(-7).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m + 6 + 2 - 1 + 0 in the form j + p*m and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -141728 by 8.\nAnswer: -17716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7, 19, 27, 31?\n\"Answer: -2*u**2 + 18*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87903 = -v + a, -3*v + 375*a - 376*a = -263741. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -10 - 5. Suppose q*m + 8 = 7*m. Let a = 12 - m. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(3 + (-1)\/((-3)\/(-6)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*m + 6 = -29*m. Let l(o) = o**2 - 1. Suppose -16*d + 30 = -11*d. Let n(a) = -8*a**2 + 3*a + 6. What is d*l(b) + m*n(b)?\nAnswer: -2*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1727 + -1727.00053761. Round g to 6 dps.\nAnswer: -0.000538","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 997458?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43149 by 1.\nAnswer: -43149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + -51. Let c be y\/25*(-60)\/(-3). Let a be -1 - (-263)\/4 - (-2)\/c. What is the greatest common factor of 13 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -629 + 221 = -6*g. Let f be (5\/10)\/(2\/g). What is the greatest common divisor of 51 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3745*l + 7458. Give k(2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*f**3*o - 2*f**2*o + 68*f**2 - 998*o wrt f.\nAnswer: 21*f**2*o - 4*f*o + 136*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13933, -13932, -13931?\n\"Answer: l - 13934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 + 2*d**2 + 4*d + 7. Let o(w) = -w**3 - w - 1. Let z(g) = 6*o(g) + p(g). What is the second derivative of z(k) wrt k?\nAnswer: -48*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/3 + -9*1\/(-3). Calculate the greatest common divisor of g and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.6, -2, -27?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 225643 and 7227?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21 + (37 - 6))*(-1)\/(-2). What is the highest common factor of 3240 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4253 + -43443. Let k = 430526\/11 + o. Let x = k - -4847\/66. What is the common denominator of x and -19\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*l - 66180 = -133*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*i + 48*i = 0. Suppose -8\/5*h**3 - 6\/5*h**2 + i + 0*h = 0. Calculate h.\nAnswer: -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znkzjkjgjjnz. Give prob of picking 2 k and 1 n.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 + 79. Suppose 134 = 4*k + 5*m, 3*k - 3*m + 8*m - 103 = p. Let x = -57\/2 + k. Which is bigger: 3 or x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 236948 and 1365653.\nAnswer: 202116644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 25 - 7. Differentiate -23 + 0*l**4 + f*l**4 + 6*l**4 + 3 with respect to l.\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 899*s - 1779*s + 839*s = 533 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.3, 1, 3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6175, -23108, -51337, -90868, -141707, -203860, -277333?\n\"Answer: -z**3 - 5642*z**2 - 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 8*a**3 + a**2 - 10*a + 2. Let t(p) = -7*p**3 + 9*p - 1. Let l(r) = 4*h(r) + 5*t(r). Let y(u) = u**3 - u**2 - u - 1. What is -l(i) - 4*y(i)?\nAnswer: -i**3 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59450, -118914, -178410, -237938, -297498, -357090, -416714?\nAnswer: -476370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15.5725506 and 345104.\nAnswer: 345119.5725506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 737 = 42*w - 2245. Sort -3, w, -1.\nAnswer: -3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4609563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -102\/347 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 15*n - 52. Give q(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 630*i**3 + 13*i - 29*i + 16*i - 633*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-2)**2*5.\nAnswer: 1980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.0878, -0.08, 13, -2, -184?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 + 0.2. Let o(x) = -x - 5. Let q be o(0). Which is the third biggest value? (a) z (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2 + m + 3*m - 2*m + 1. Let l be w(-2). Let z be l\/((-8)\/7 - -1). Calculate the highest common factor of 63 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -8*y + 10. Give r(5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 19\/4 + (-12)\/(-48). Let y(m) be the first derivative of 2*m - 2*m**2 + 2\/3*m**3 + s. Factor y(t).\nAnswer: 2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 2*x + 10, 66*v - 58*v + 32 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 345445 divided by 59?\nAnswer: 5855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 110282993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5510 = -160*j - 22950 for j.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2029.9997818 + -2030. What is q rounded to 5 dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.857 + 14.143. What is the biggest value in h, 0, 1\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 669 = -714. Solve 0 = -2*q - 5*z - 35, 7*q - 15 = b*q + z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**2. Let j(u) = -159*u + 18. What is w(j(o))?\nAnswer: -75843*o**2 + 17172*o - 972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 + (-2 - -1) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -162368 (base 12) in base 3?\nAnswer: -201011102222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -24. Let k be (-1)\/(-5*3\/(-45)). Let b = q - k. 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 -4*x**4\/7 - 104*x**3\/7 - 140*x**2 - 3904*x\/7 - 768 = 0. What is x?\nAnswer: -8, -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 445113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4818974.\nAnswer: 2, 2409487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49946 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -13 + 18 + -27 + -18 + 34\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 109201794 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 11*z**2 - 155*z - 406. What is the thousands digit of y(47)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.927 + -8.03. Let m = -0.043 + p. Let i = 22.1 + m. What is the biggest value in 3, i, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 103368 from 3.871153045.\nAnswer: -103364.128846955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41959 is divided by 258?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -2*o**3\/15 - 88*o**2\/5 - 174*o\/5 + 938. Factor m(p).\nAnswer: -2*(p + 1)*(p + 87)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1118 - -0.055. Let h = -0.057 - r. Round h to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -14*q**2 + 7*q - 14. Let h be b(-8). List the prime factors of (9 - h\/24) + (-2)\/8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -125599.5 - -125473.5149. Let c = -126 - g. Round c to 3 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 0*n**4 + 0 + 0*n**3 + 3\/5*n**5 - 5\/2*n**2 + 17*n. Differentiate r(t) wrt t.\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + p + 2*z = 16, -2 = z. Let k(q) = -18*q + 123. Let u be k(7). Sort 2, p, u.\nAnswer: p, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-10754)\/(-4) + 1 + (-1002)\/668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -10.4, -1\/4?\nAnswer: -10.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3, -0.5, -932, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -166*c**3 + 20*c + 14. Let g(k) = -333*k**3 + 40*k + 25. Let s(l) = 3*g(l) - 5*w(l). Find the second derivative of s(r) wrt r.\nAnswer: -1014*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o - 6*o - 16*o**3 + 19*o**3 + 10*o.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2150?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j**3 - j**2 - 3*j - 1. Let z be p(-2). Let y = 0 + z. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -575*f**3 - 523*f**3 - 521*f**3 + 1613*f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w - 6. Let v be j(4). List the prime factors of (-6352)\/(-14) - -3*v\/63.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 15*j + 8. Let m be (-64)\/6 + (-20)\/15. What is o(m)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6596*r**2 - 12*r + 6557. Let s(n) = 13192*n**2 - 27*n + 13118. Let g(p) = -9*l(p) + 4*s(p). What is the first derivative of g(b) wrt b?\nAnswer: -13192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 108856019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40 + 151632031?\nAnswer: 151632071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -777 + 785 = 2*s + c, -3*c - 21 = -3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 15*s**2 + 30*s - 12. Let o be p(13). Suppose o + 75 = -5*x. Which is bigger: -25 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - (-23 - -58 - 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27675 divided by -41?\nAnswer: -675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**4\/6 + l**3\/2 + l**2 + 2*l. Let y be o(-2). Suppose 0 = y*z - 6 + 2. Let q(v) = -7*v. Determine q(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + k. Let p(w) = -2*w**3 + 2*w**2 + 3*w. Calculate -4*j(m) + p(m).\nAnswer: -2*m**3 + 6*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwdw when four letters picked without replacement from wdwwwwwdww?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-12))\/(8\/(-48)). Suppose -3*u = 3, p*m = 4*u + 2 - 0. Put -17, m, -2, 0.05 in increasing order.\nAnswer: -17, -2, m, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**3 + 60*w**2 - 216*w + 160 = 0 for w.\nAnswer: 1, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 176680147 - 176680170.9999742. Let n = -3.8 + -20.2. Let a = p - n. Round a to six decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2554, 0, -0.5 in descending order.\nAnswer: 0.5, 0, -0.5, -2554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5393216 is divided by 1797732.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q + 417227 + 4*q - 417227 + 22*q**2.\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5 = x - 0, 3*x + 4*c = 15. What is the units digit of (x - -2 - -6) + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1843 is divided by 142?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 5*t = -34, 3*j + 14 = -6*t - 11 - 17 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, -4, 2, 26, 1900.\nAnswer: -4, 2, 26, 106, 1900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(1\/3))*n)**(-20\/9)\/(n**(1\/3))**(-6\/5)*n\/(n**(-1\/5)*n*n)*(n\/(n**2*n*n*n))\/n*n*n\/(n\/(n*n**(2\/5)*n)*n*n)*n\/(n**3\/n) assuming n is positive.\nAnswer: n**(-175\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 101 + -66. Let j(v) = 4*v - 3. Let t be j(6). Suppose 0*p + t = 3*d - p, 5*d + p = s. Calculate the greatest common factor of d and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**5)**(8\/7))**(1\/2) assuming m is positive.\nAnswer: m**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 + 209254092 - 209254092 - 4*d**3 - 2*d**2.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2583202\/187 or 13814?\nAnswer: 2583202\/187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((4 - 7) + -6) - -7.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -72212166419.603 and 0.1?\nAnswer: 72212166419.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 207d3 - -168?\nAnswer: 2094b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**7\/21 - 61*g**6\/30 + 73*g**3\/3 - 123*g. Find the second derivative of o(r) wrt r.\nAnswer: 40*r**3 - 732*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13804310?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 8 - (35 + -95 + 44) - -6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1372*p**4 + 76 with respect to p.\nAnswer: -5488*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 0.1716?\nAnswer: 0.5716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 235969*a + 5899237. What is s(-25)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 170 and 20.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 2123938?\nAnswer: -4247876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292*w - 291*w = -3*d + 188505, 0 = 2*d + 4*w - 125690. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000070143479 to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 4, -176, -9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 41*t + 263. What is the remainder when q(19) is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2042 is divided by 261?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2842 divided by 203\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 2. Let l be z(2). What is the second derivative of -16*r**2 - 4*r - l*r - 22*r**2 + 14*r**2 wrt r?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dead when four letters picked without replacement from ddaae?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 - l. Let q be g(1). Let m be q\/(-4) - (-27)\/12. Let i(c) = m - 19 + 7 + c. Calculate i(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 a factor of 35879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -92? (a) 3 (b) -1\/5 (c) -0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43362.\nAnswer: 2, 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 678948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325 + 13*x**2 - 647 + 322.\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49687 to the power of 1\/2, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 2, 6, -2, -28?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4029 and 237?\nAnswer: 4029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 52667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 9) to base 11.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 - 2 - ((125 - 97) + -25).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5 + 13 = 0. Find the common denominator of 345\/(-350) + (-2)\/(-10) and 19\/n*36\/(-8).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(49\/(-42))\/7?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -38439\nAnswer: -20\/38439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, n: 9, g: 4}. What is prob of picking 1 n and 2 g?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l**(1\/3)*l\/(l**1\/l) assuming l is positive.\nAnswer: l**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbj when three letters picked without replacement from {r: 4, j: 2, b: 2, l: 3}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 15*n + 135. Calculate z(-21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 w when four letters picked without replacement from gggiwggggwggggggwgig?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -14890\nAnswer: -14893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + 0*c + c)*((-3*c + 6*c + 0*c)*(0 + 3 - 1)*(-1 + 1 - 1) - 16*c - 384*c - 13*c) in the form i*c**2 + v*c + z and give i.\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87093315 to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -2)\/(-6)*-1. Suppose -4*j - 1348 = -5*z, c - 8 = 4*j. What are the prime factors of z?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 42\/5 of a century?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.08 + 1.2. Let l = w + -5.12. Which is the closest to -1? (a) -3\/5 (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 2*s + n = -6, -6 = -2*s + n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 89320 and 870?\nAnswer: 267960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*v + 7 - 37 = 0. Suppose -v = f - 3*q, -2 = 4*f + 3*q + 2. Which is bigger: f or -4\/17?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1250*f**2*m*v + 131*f**2*v - 56798*f*m*v - 4*f*m wrt f?\nAnswer: -2500*m*v + 262*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yttvyvzvttnvyvvytt. What is prob of sequence zyn?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3300 and 12300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**9\/1080 + d**5\/12 - d**4\/24 + 9*d**2. Let r(m) be the second derivative of o(m). Find the first derivative of r(x) wrt x.\nAnswer: -56*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-530)\/(-1770) + (-149)\/447?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*i + 115*i = -6. Factor -11\/4*l + 7\/4*l**i + 1.\nAnswer: (l - 1)*(7*l - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 + 96?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-260)\/(-24))\/(((-10830)\/171)\/(-19)).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -307\/18 or -18?\nAnswer: -307\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1840 - 1839.998743. Round y to five decimal places.\nAnswer: 0.00126","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99 + 95. Let q(u) = 4*u**2 - 15*u + 7. Suppose 4 = -4*n, 0 = -r - 2*r - 5*n + 1. Let d(l) = -l**2 + 5*l - 2. Let j(y) = r*q(y) + 7*d(y). Give j(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-2)*(-56)\/(-70). Solve -2*n + 7 = m, -3*n + 5*m = 16 + r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -708 - 6235?\nAnswer: -693d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -15*u - 19. Let i(x) = 7*x + 9. Let t(f) = -13*i(f) - 6*n(f). Let l(s) = -s - 3. Let w(q) = -5*l(q) + 6*t(q). Give w(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -445.18 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 3\/2 (c) -5048\/7 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - 85. Let u = 27 - q. Suppose -2*x + 4*x = u. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h + 2*h**2 - 5*h**4 - 12*h**4 + 16*h**4 + h**3 + 1 as u + y*h + t*h**3 + q*h**4 + z*h**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 810 > 102902\/127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421522329?\nAnswer: 3, 683, 205721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**3 + 3*q - 3. Let a(v) = 7*v**3 + 5*v - 5. Give -3*a(j) + 5*h(j).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = 30220 + 3710. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390*n = -174*n - 193*n - 46 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.130506953 - 0.0597976?\nAnswer: 0.070709353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 24971954 to the power of 1\/3, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 34 - -c587?\nAnswer: c5bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**8\/6720 - r**7\/840 - r**6\/288 - r**5\/240 - 103*r**3\/6 - 25*r**2. Let v(a) be the first derivative of f(a). Factor v(j).\nAnswer: -j*(j + 1)**2*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 382 + -54. Suppose 17*a - m = 9*a. What is the second derivative of f - 5*f**4 + 9*f**4 - a*f**4 wrt f?\nAnswer: -444*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 0*p**3 - 23 - 13*p**4 + p**3 + 11 - p as l*p + j*p**2 + c*p**3 + g*p**4 + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 62, 74, 102, 152, 230, 342, 494?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3381825 (base 9) to base 11\nAnswer: 1037467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00034579676 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 104127.\nAnswer: 4581588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173870 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43100\/(-6465)*(-48)\/5?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606267?\nAnswer: 3, 31, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3941621.\nAnswer: 821, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6358 less than 2386?\nAnswer: -3972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d**2 - 792*d + 792*d. Let t(q) = 10*q. Calculate s(t(v)).\nAnswer: -600*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 2 (c) 13638 (d) 33 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 4\/15*c**3 + 1\/75*c**6 + 4\/525*c**7 - 1\/420*c**8 + 0*c + 33*c**2 - 1\/30*c**4 - 4\/75*c**5 + 0. Let m(b) = 0. What is b?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/5*-5*2\/16?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88801\/680 - -7\/680. Let c = -131 + u. Let g = -4.3 - -4.3. What is the nearest to c in -4, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -317, -319, -321, -323, -325?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*d = 10, -5*h - d = -17 + 3. Let j be (-10)\/4 - h\/(-4). List the prime factors of ((-25)\/2 - -3)*j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.56? (a) -0.5 (b) -29.8 (c) -0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -233 divided by 4\nAnswer: -233\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -406*y**3 + 204*y**3 + 7*y**2 + 205*y**3 - 3 + 10 + 22 wrt y.\nAnswer: 9*y**2 + 14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 298 - 144. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzzzfzzlzfzfll. What is prob of picking 4 z?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 149 - 306 + 155 - 3*b in the form s*b + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 4*w. Suppose 20 = -7*o - 218. Let u = o - -29. Determine l(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 299301?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6872, -27565, -62052, -110333, -172408, -248277?\nAnswer: -337940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 6, -5*h + 3*m = -9 - 27. Let j(x) = 10*x**2 - 5 + 8 - 4*x**2 - 4. Let o be j(-1). Solve -h = o*u + z, -u + 2 = 5*z - 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17079629 to the power of 1\/3, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 855 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s*s*s**(-3\/5)))**(3\/25)*s**(-7)\/s**3)**11 assuming s is positive.\nAnswer: s**(-13651\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -10010?\nAnswer: -10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/(-7) - (1 - 1). Suppose -5*v + 5 = 0, 0 = -u + z*u - 2*v - 28. Calculate the remainder when u is divided by ((-1)\/(-2))\/((-8)\/(-96)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -14 + (0\/3 - 4). Let t be (-4)\/(-12) + (-12)\/q. What is the derivative of -t + 11*k - 2*k + 11 wrt k?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3064*d**3 - 4*d**2 - 14*d - 11. Is s(-1) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + (sqrt(153) - (sqrt(153) - (1*sqrt(153)*-4 - sqrt(153)))) - sqrt(153)) + sqrt(153) + sqrt(153)*1*-3)\/(sqrt(729) + 6*sqrt(729)*1).\nAnswer: -sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51896 and 832?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 n, and 1 l when four letters picked without replacement from {l: 2, n: 4, u: 2, g: 4, a: 2}?\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -264, -1089, -2472, -4419, -6936, -10029?\n\"Answer: -t**3 - 273*t**2 + t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.88 times -1.3?\nAnswer: 1.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**6\/360 + u**5\/20 - u**4\/9 + 37*u**2\/2 - u - 53. Let g(k) be the second derivative of q(k). Find z, given that g(z) = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/(-21))\/(3\/2). Let z(n) = n**2 - n - 2. Let g be z(0). Let j be 5\/g - 3\/(-2). What is the closest to -1\/4 in 5, j, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/22)\/((-5)\/(-10))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*b - 4, 5*w - 64 = 3*b. Solve 20 = -w*k - 50 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 91*y**2\/2 - 14*y + 9. Let h be t(6). Let w be h\/12 - (-4)\/6. Calculate the highest common factor of 30 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express h**2 - 8*h - 12009 + h**2 + 12533 + (2 - 4*h + 0*h + 0*h)*(0*h + 0*h - 2*h) in the form v*h**2 + q*h + p and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 13 = -7. Factor -b*f**5 - 2*f**3 + 4*f**5 + 3*f**5.\nAnswer: 2*f**3*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j**3 - 107674*j**2\/3 - 121996*j\/3 - 4784 = 0. What is j?\nAnswer: -3588, -1, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 478153, 1912608, 4303365, 7650424?\n\"Answer: 478151*b**2 + 2*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -2. Let s be (10\/f)\/(3\/(-6)). What is the highest common divisor of 25 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 10 = -5*o. Suppose 4*p - 25 = -g, o*g + 2*p - 20 = -0*g. Which is the closest to -1\/2? (a) 0.1 (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232325 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*f + 718851 = -72*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.9 and 91?\nAnswer: 95.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 1064, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4023*q*w**3 - q*w**2 - q*w + 2*q + 12147 wrt w.\nAnswer: -12069*q*w**2 - 2*q*w - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12659 + -0.7512176?\nAnswer: -12659.7512176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.14369 - 0.24369. Let p = -73\/4 + 18. What is the closest to -5 in -0.02, s, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10437 divided by -58?\nAnswer: -10437\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z. Let u(h) = -241*h. Give u(c(b)).\nAnswer: 482*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6327 and 2513706?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*f - 2 + 3 - 1.\nAnswer: -115*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 987 is divided by 87.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -224, 5, -5.8?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13291 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78 - 132. What are the prime factors of (-660)\/o + 4\/(-18)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 117 + -201. Let f be l\/(-15) - 2\/(30\/9). Solve -f*j + 2 = -13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 - 0.24. Let x = 1.1 - -1.9. Sort x, 2\/7, r in increasing order.\nAnswer: r, 2\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 134.3 + -132. Which is greater: -0.3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - i**2)*(2*i - i + i)*(12 - 8*i - 12) - i**4 + 2*i**2 - 2 + 2 as x*i + a*i**3 + g + u*i**2 + r*i**4 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 5*g**2 + 15*g + 8. Let j be r(-7). Let n(i) = 2*i**3 + i**2 - 2*i + 2. Let q be n(j). Let w = 73 - q. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 885 and 4571286.\nAnswer: 1348529370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -140 + 139. Which is the nearest to 0.3? (a) -5 (b) -6 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-2 - 1) - (21 - 18).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**5 - 4*y**3 - 2*y**2. Let t(a) = -363*a**5 - 20*a**3 - 11*a**2 + 16. Let j(b) = t(b) - 5*z(b). What is the third derivative of j(w) wrt w?\nAnswer: -22080*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1245 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/5 <= 7\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20978?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 86 and 3018?\nAnswer: 129774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 20*u**2. Let k(d) = -3917*d**2. Determine k(o(i)).\nAnswer: -1566800*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 1)*(m - 5*m**2 + 2*m + 7*m**2)*(2*m**2 - 3*m**2 + 0*m**2).\nAnswer: -8*m**4 - 12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*b - 2)*(-561 + 1562 - 1001 + 44147*b**2) to the form t*b + q*b**2 + z + y*b**3 and give y.\nAnswer: -88294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 337273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -19878588*m**2 - 2*m**4 + 3*m + 19878588*m**2 + 254*m**3 as r*m**4 + i*m + h*m**3 + y*m**2 + x and give h.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 19. Is 40 + (-16)\/(g\/2) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 4:07 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 41*s**2 - 401*s - 360. Determine j(-10).\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 117*w**2 + 6*w - 5. Suppose 12*c - 14*c = -62. What is the remainder when g(1) is divided by c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/30 + 8\/(-10). What is the second biggest value in -0.95, 2\/13, 2, 0.3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 (base 14) in base 4?\nAnswer: -1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 25 = -0*m. Suppose c + 0*c = 2. Suppose 5*n - m = -2*g + 6*g, -c*g + 5*n = 15. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 c when four letters picked without replacement from {r: 3, y: 6, p: 3, c: 5}?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25134 and 7?\nAnswer: 175938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(-3*x + 5*x + x).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -285 + 11*a + 285 - 2*a. Let q(i) = -11*i**2. Calculate g(q(m)).\nAnswer: -99*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 + 1552*r**2 - 15370*r + 38300.\nAnswer: -2*(r - 766)*(r - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 0*t**3 + 0*t**2 - 5*t - 3\/2*t**4 - 4. What is the first derivative of l(s) wrt s?\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 595*p + 2. Let g(f) = 1608877*f + 5409. Determine -4*g(w) + 10818*n(w).\nAnswer: 1202*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 25*k**3\/3 - 2. Let w(f) = -f. Determine y(w(j)).\nAnswer: 25*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + o + 8 = 0, -22 = 3*l + 2*o - 0*o. Let g(d) = 4*d**3 + 2*d - 5. Let m(y) = -7*y**3 - 4*y + 9. Let r be 114\/(-10) - 2\/(-5). What is l*m(k) + r*g(k)?\nAnswer: -2*k**3 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -40*p + 412. Determine l(7).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(12\/9) - -69. Let c = g + -26. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -9*o**2 - 5*o - 1. Let x(z) = 10*z**2 + 6*z + 1. Let l(c) = -6*p(c) - 5*x(c). What is the remainder when 31 is divided by l(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -278196609.\nAnswer: 278196609.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**7*t*t\/t**7*t)\/((t\/t**(-2\/7))\/(((t*t\/t**(-6)*t)\/t)\/t)) assuming t is positive.\nAnswer: t**(61\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*i**2 + 2*i**3 - 9*i**2 - 5*i**4 + 11 - 2*i**4 + 27*i**2 to the form u*i**4 + a + y*i + h*i**3 + k*i**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -2 (b) -1\/6 (c) -0.622 (d) -1 (e) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k + 7. Suppose 0 = -5*o + w + 3*w + 31, -o + 19 = -4*w. Let r be x(o). Let a be 1\/(-1 + 20\/(-24)). What is the closest to r in 0, 2\/7, a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, a: 3}. Give prob of picking 3 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 632403934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 14 - -140386938\nAnswer: 140386952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1)\/(a\/(a\/((a**(2\/15)\/a)\/a*a)))*(a\/a**0*a)**(2\/13) assuming a is positive.\nAnswer: a**(34\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 2 + 8 + 4)*(0 - i + 0).\nAnswer: 2*i**3 - 14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331)*-1 + 5)*4)**2 + 2.\nAnswer: -1760*sqrt(11) + 21698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 126 - 27. What are the prime factors of x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y - 541 = 83. Suppose -15*l + 11*l = 20. Sort -3, -1, y, l in decreasing order.\nAnswer: -1, -3, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, 2, 1\/3258, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5570392.38 times -0.1?\nAnswer: 557039.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 861 in decreasing order.\nAnswer: 861, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 467.6 - 472.6. Let g = 0.2 - 0.3. What is the nearest to g in 0.2, b, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 854 + -852. Solve -k + z - 1 = 0, -2*k + i*z = 4*z + 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 4*z**2 + z - 41 - 2*z**2 + 43. What is the tens digit of i(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - l**2 - 31*l + 88. Let f(q) = -q**2 + 23*q + 9. Let x be f(23). What is the tens digit of c(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 3 = 6*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 16 = -20. Suppose -96 = -o*z - 2*z. Let h be (-238)\/385 - z\/(-15). Is h < 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-48)\/20)\/((-6)\/(-20)). Let x(i) = i**2 + 6*i + 6. Is x(q) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 260\/117 + 3 + (42\/27)\/(-7). Solve -5*n = -2*b - 10, -b = o*n - 2 - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence icf when three letters picked without replacement from {a: 2, h: 2, i: 1, c: 1, f: 1, k: 1}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 834577 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001443774198 to 7 decimal places.\nAnswer: 0.0001444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*h**5*x*y**3 + 3*h**3*y**3 - 5*h*x*y**2 + 5*x*y**3 - 3*y wrt h.\nAnswer: -440*h**3*x*y**3 + 18*h*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 131 + -101. Let r be 16\/(-15)*(-75)\/h. Determine b so that 8*b**3 + r*b**2 - 10\/3*b - 4\/3 = 0.\nAnswer: -1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -4. Let h = 152 - 146. Let t be (-14 + 0\/1)\/(12\/h). Which is bigger: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-748)\/170)\/(8\/(-15)) - (-5)\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42692 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -509579857 * 0.3.\nAnswer: -152873957.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**4 - 260*n**3 - 4028*n**2 + 4292*n = 0. Calculate n.\nAnswer: -37, -29, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yayazaazaaaayyyz. Give prob of picking 2 a and 1 y.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*q + 525 = -280. Calculate the least common multiple of q and 28.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 - 6.5. Let x = j - -7. Which is the biggest value? (a) x (b) 2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 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: b\"What is the oth term of 184, 319, 438, 535, 604, 639, 634, 583?\n\"Answer: -o**3 - 2*o**2 + 148*o + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**3 + 3*t**2 - 2*t. Let r(y) = y - 1. Let u be r(3). Let c be k(u). Suppose -c*n + 34*n - 138 = 0. List the prime factors of n.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7941015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 59*k**2 + 65*k + 228. Determine b(-60).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1847*r + 1 + 2*r**2 + 2096*r - 2356*r in the form l + b*r**2 + q*r and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*v - 815904 - 9*v - 14*v + v**2.\nAnswer: v**2 + 2*v - 815904","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2555 and 77.\nAnswer: 28105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328820?\nAnswer: 2, 5, 41, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 + -10127618133.696?\nAnswer: -10127618243.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1016 + 2310. List the prime factors of m.\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3*p**2 - 993*c**3*t**2 + 88*c**2*p**2*t - 11299*c*p**3*t**2 - 42*p**3*t + 2*p**3 + 4*p**2*t + 82 wrt t?\nAnswer: -1986*c**3 - 22598*c*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4022 (base 5) in base 8?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u*u**(9\/7)*u)))\/((u*u**(-16\/5))\/u*u))\/(u**(-14)*u**(-1\/4)*u) assuming u is positive.\nAnswer: u**(2763\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -49 + -bca?\nAnswer: -c13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45113 and 7.\nAnswer: 315791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - 2*sqrt(119)*-2) + sqrt(119))\/(sqrt(7) + (sqrt(7) - (sqrt(7) + (sqrt(77)*-3)\/sqrt(11)))) - (-1*sqrt(187)*2)\/((2*sqrt(33))\/sqrt(3)).\nAnswer: 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1184.77 - -1184.8. What is the third smallest value in 423, -0.2, m?\nAnswer: 423","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4501530942 and 5.\nAnswer: 4501530947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -408 + 412. Let v = 12 + 10. Suppose -g*z + v = -3*z. What is the highest common divisor of z and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 8*x - 91, 65*o = 401*x - 405*x + 239 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-9) - 130\/(-15). Suppose 5 = l*r - 5*r. Solve 3*i = -2*i - 2*o - 8, -2*i - 5*o + r = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000659840248 rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -108630 to the nearest 1000.\nAnswer: -109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -991, 445, 1883, 3323, 4765?\n\"Answer: a**2 + 1433*a - 2425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45772765?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 669220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-5) - 1 - (-11 + 13 + 0). Which is the nearest to q? (a) -5 (b) 4 (c) 0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 12460*w + 280. Let d(i) = -134*i - 3. What is -280*d(r) - 3*q(r)?\nAnswer: 140*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(363)*-1 + sqrt(363) - (sqrt(363) - ((sqrt(363) - ((sqrt(363)*-1)**2 + 4)) + sqrt(363)) - sqrt(363)) - (4*(4 + 1 + sqrt(363)))**2.\nAnswer: -6575 - 1716*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 534083 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -14. Suppose -4*h + 356 = -i*h. Suppose 71 = 4*d - h. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107290615 divided by 295.\nAnswer: -363697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = -5*d. Let g(k) = -k + 3. Let p be g(0). What is the nearest to d in p, 0.4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 m when three letters picked without replacement from {m: 2, y: 2, e: 1, i: 1, j: 1, r: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5515 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.727 and -0.051.\nAnswer: -0.037077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18407 + 2?\nAnswer: 18409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23549 - 16214. List the prime factors of y.\nAnswer: 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - 26.29?\nAnswer: 14.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163866 is divided by 142.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 0*b**2 + 24\/5*b**5 + 7 - 9\/2*b**4 + 0*b - 5\/3*b**6 + 4\/3*b**3. Factor o(t).\nAnswer: -2*t**2*(t - 1)**2*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -4. Let i(t) = 74*t - 157*t + 85*t. Give i(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8272637397 to the nearest integer?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3497613*d + 3497620*d - 10492887*d + 3497635*d.\nAnswer: -19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkzzazkw. Give prob of sequence kazw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507 is divided by 254?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4760266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 9*q + 14. Let c be d(-10). Solve -4*j + 1 + 5 = -z, c*j = -z + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 17*l - 66. Suppose 4*t = -2*h + 54, h + h - 21 = -t. Let r be x(t). Factor 0*c + r - 2\/7*c**4 + 2\/7*c**3 + 0*c**2.\nAnswer: -2*c**3*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*y + 273*y + 10469 = 480*y - 2250 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4873 or -13059?\nAnswer: -4873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/2, -1\/8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 321 - 301. Suppose 8*d - 60 = -a. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m + 42806. Let h(w) = 3*w + 44. Calculate n(h(z)).\nAnswer: 9*z + 42938","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g - 32. Determine b(23).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -21, -10, 5, 24, 47, 74?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 152.54 from -703493861.\nAnswer: -703494013.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -9*u + 16. Suppose -15 = -3*p - 0*p. Suppose 5*f = 24 - 4. Solve -p*h = 4*y - h + f, 0 = -4*y - 2*h + u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 7*d - 15. Suppose 3*g - 1 = -3*a + 2*a, 3*a - d*g = 3. Find the first derivative of -32 - a + v**2 + 25*v**2 - v**2 wrt v.\nAnswer: 50*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 33*b + 265. Calculate j(5).\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-107538)\/(-36) - (-10)\/12. Suppose -6*o + j = -4122. What are the prime factors of o?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 4 (c) 3\/5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501905 is divided by 122?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -21\/4*b - 1\/4*b**2 - 5 = 0.\nAnswer: -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1710, -3366, -5042, -6726, -8406, -10070, -11706, -13302?\n\"Answer: 2*z**3 - 22*z**2 - 1604*z - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 + 12*a**2 + 14*a - 2. Let u(t) = t**3 + t**2 + t + 1. Let x(q) = u(q) + w(q). Is x(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 14*v = 10*v - 1604, 2*z - v = 797. What is the highest common factor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 7:53 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 68*k - 6. List the prime factors of u(4).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/297*(-3)\/2?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -7, 5 in decreasing order.\nAnswer: 5, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**3 - 76*h**2 + 39*h**2 + 0*h**3 + 5*h + 42*h**2 + 0*h**3 to v*h**3 + u*h**2 + j + p*h and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16293 + -52963. Let o = 390670 + n. Suppose 3*k - 6*k = -o. Round k to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((4 + -5 + (sqrt(7) - -2*(3 + sqrt(7))))*-3)**2 + -2).\nAnswer: -4740 - 1620*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 7:36 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w - 44 + 44 as r + v*w and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 39 + -31 - -24?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -23, 1, 5, -295, -46, -5 in ascending order.\nAnswer: -295, -46, -23, -5, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(6)\/(-2*sqrt(2)))**2 + sqrt(3) + -1 + 2 + (-1 + sqrt(3) + (sqrt(3) - sqrt(3)*-1) + sqrt(3))**2.\nAnswer: -12*sqrt(3) + 303\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.5 + 11. Let f = -8.7 + 4.8. Let u = c + f. Which is greater: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209338361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - v + 37 = 7*y, -4*v + 12 = 3*y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 151 + 141 = 0. Suppose -28 = -6*j - u. Let z be 0 + j + (-1 + 0 - -1). Solve -2 = z*t - 4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/677875 and -117\/550?\nAnswer: 1355750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1185776?\nAnswer: 2, 37, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5752440 divided by -4\nAnswer: 1438110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2066 - 2065.88. What is the closest to d in 0, -2, -0.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2*(-4 + 6). Let r(p) be the first derivative of p**3 + p**2 - p - 1. Is 2 a factor of r(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cet when three letters picked without replacement from {c: 2, e: 1, t: 1, p: 4, m: 2, u: 4}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*p = 14 - 6, -4*n + 2*p - 10 = 0. Let u be 38\/8 + n\/(-8). Factor -2*c - 8*c**2 - 6*c + 2*c + 2*c - u*c**3 - c**4.\nAnswer: -c*(c + 1)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80332975?\nAnswer: 5, 97, 157, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5320 and 5660.\nAnswer: 1505560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219, -442, -685, -960, -1279, -1654?\nAnswer: -2097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 127, 193, 261, 331?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/9 - (-8)\/(-21). Let y(u) = -1. Let v(t) = -t**2 + 6*t. Let p(j) = -v(j) + 3*y(j). Let b be p(6). What is the closest to b in 1\/7, 0.4, g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30613?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/68 + 606\/51. Let u be (-4)\/10 + 4\/10. Suppose 2*x + x = u. Solve -3*r = -x - l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-66) - 3720\/(-11). Let h = j - 334. Solve h*v - 15 = -3*r - 1, 4*v = -4*r + 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 5, 12, -51 in decreasing order.\nAnswer: 12, 5, 2, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-2*i + 3*i + 0*i) + 8 + 2*i - 8 + (-3 + i + 3)*(-9 - 19 - 20).\nAnswer: -45*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 753261 to the nearest integer?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 30*v**2 - 34*v + 427 - 376.\nAnswer: 30*v**2 - 34*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -29*g**7\/210 - 4*g**3\/3 - 163*g**2. Differentiate n(j) with respect to j.\nAnswer: -116*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 1. Let h be j(-2). Suppose 4*p = -v, -v = 3*v - h*p - 21. Suppose 0*o = -v*o - 8. Is -1 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -4f7?\nAnswer: -4fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 10, f: 2, s: 4}. What is prob of picking 1 x and 1 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhvzvvhhhvvh. What is prob of picking 2 h and 1 v?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -16*m - 116. Let f be p(-9). Solve 0 = -f*k + 24*k - 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 15 + 2*m + 1 + 2. Let f(x) = -3. Let n(a) = -7. Let t(j) = 9*f(j) - 4*n(j). Determine -2*b(r) + 36*t(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 - 12*l**2 + 2*l**2.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, k: 1, l: 1, o: 2}. Give prob of sequence lt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*c)*(-2 - c + 2) - 4*c**2 - 3*c**2 + 5*c**2 - 2*c + 3*c + c**2 - 3*c.\nAnswer: -3*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 - 27*f**2 + 30*f.\nAnswer: -3*f*(f - 1)*(f + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (40\/5)\/(-2) + 2 + -1008. Let g be (d\/303)\/((-4)\/6). Solve -i - 28 = -g*b, -2*b - 2 = -12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 1*1\/2*6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-30) - 78871130\/8100. Let q = 9737 + k. Let s = 15729 - 314497\/20. Calculate the common denominator of q and s.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 6 + 2 = 0, 4*y - v = 36. What is the units digit of y\/16 + 9\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 5*n + 4. Let y be b(6). Let v be ((-8)\/(-10))\/(1\/y). Let a = -53 + v. Solve 0 = 2*k - k - a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/3)\/(20\/24). Solve z*w - 4 + 14 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1864*l - 1904*l - 4 + 2 as z*l + r and give z.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.352 - -112.718. Let l = 2.23 + g. Let p = -133 + l. Which is the closest to 1\/2? (a) -0.3 (b) 1\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59837\/38325 - 2\/1533. What is the common denominator of -62\/81 and p?\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3435405 (base 6) to base 8.\nAnswer: -530075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) -17 (c) 0 (d) 0.4 (e) -2\/5 (f) -5\/4329\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*((-4)\/(-20))\/(8\/(-30)). Let z be y\/1 + 0\/(-8). Let h be -8*(2 + (-171)\/36). Solve -5*u - r + h = 0, z*u - 8 = r + r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485904 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 5202?\nAnswer: 51a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -29*b + 416. Give t(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13323425 + -89.\nAnswer: -13323514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 0*l + 18*l = 725 - 1733 for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*k - 1149*k - 1384*k = -79489 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -42*c + 3470. Determine v(89).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 16 = -2*x - 5*b, 0 = b - 5. Let h(m) = 0 + 3*m - 4*m**2 - 2 + m**3 + 0. Let u be h(4). Solve -2*f = u, 4*c - x = -2*f + f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 853598*h**2 + 775013?\nAnswer: 1707196*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -385\/2 (c) -1 (d) -444\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 52?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 13*l - 17. Let t(m) = 2*m**2. Let x(v) = -k(v) + 2*t(v). What is the units digit of x(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/8)\/(8\/16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.6 - -2.2. Let h(y) = 2*y + 17. Let b be h(-10). Let r be 16\/(-6) - 6\/b. What is the third smallest value in -0.3, x, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11050 and 255?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 305\/(-35) - 72\/(-8).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -0*t - t. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3 + 0 + 0. Let c = -55\/266 - 39\/133. Which is smaller: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - t + 3)*(5 + t - 5) + (5 - 5 + 2*t)*(-38*t + 41 - 41) + (-11*t + t - 4*t)*(-4 + 4 + 2*t).\nAnswer: -105*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 918.89524 less than -4?\nAnswer: -922.89524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 10 = 5*j + s, -2*j - 5*s = -11. Let x be -2*(-4 + j - 1). Find the second derivative of -t**2 + t**2 - x*t - 7*t**4 + 8*t**4 wrt t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41631.205 - 41520. Let t = h + -0.205. Let y = t - 111.99. Round y to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000459109062 rounded to seven dps?\nAnswer: -0.0000459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -60. Suppose -j + o = 2*j. Calculate the least common multiple of 7 and 0\/1 - j\/(-1).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28776 and 71112.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/226843598 and -21\/16.\nAnswer: 1814748784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26380, 52807, 79246, 105697, 132160, 158635?\nAnswer: 185122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50509 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7381119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 55?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 13*w + 10*w - 10*w. Let k(v) = v. Determine k(r(x)).\nAnswer: 13*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 32932.14 and 15.732816.\nAnswer: 32947.872816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - a - 11, i - 4*a - 1351 = -1343 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -374, -1389, -3082, -5453?\nAnswer: -8502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2880 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 3:09 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -4. What is the remainder when 29 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1076822 is divided by 574.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + ((-10)\/(-5))\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k. Suppose -2*x = 6, -3*z = -0*x + 3*x. Suppose 0 = 4*j + z*h - 2, j + 1 = h + 5. Let f(d) = -2*d + j*d + d**2. Determine b(f(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -52 + 17 + 12 + (1 - -3 - 12)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 + 33*x**2 + 24*x + 34. Let s be m(18). Let d = s - -518. Solve 4 = -d*y + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 1. Suppose 2*p = -w*p - 4*t, -5*t + 25 = 0. Which is the closest to 1? (a) -0.4 (b) p (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 minus 29510?\nAnswer: -29529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, c: 4, y: 2, g: 2, e: 1}. Give prob of sequence cbyg.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2. Let x(j) be the first derivative of -2033*j**3\/3 + 10247. Determine z(x(b)).\nAnswer: -8266178*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -21406 divided by 22?\nAnswer: -973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4514 + -4497. What is the remainder when 16284 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*v + 22*v + 990. What are the prime factors of v?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 12. Let w be 7 - 1*(-4)\/(-2). What is the second biggest value in j, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9737*s**3*u**2 - 24*s**3 + 2*u**2 + 25*u + 14535 wrt s.\nAnswer: 29211*s**2*u**2 - 72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/149807 and -1\/192609.\nAnswer: 1348263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 862783181 to the nearest integer?\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -119 by 119.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1471 + 22*q**2 + 2952 - 1479.\nAnswer: 22*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 350 and 7525.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s + 6*s**3 - s**3 + 18*s + 3*s**3 + 6 - 31*s + 2*s**2 as z*s**3 + g + q*s + f*s**2 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 740142 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7462416 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 373 times -0.09\nAnswer: -33.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h + 9. Let g(s) = -2*s**3 + s**2 + s. Let r be g(1). Let w be u(r). What is the highest common factor of 1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 326.4476 millimeters to micrometers.\nAnswer: 326447.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 + -15)*6\/(-15) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 14, 518128 in descending order.\nAnswer: 518128, 14, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 216300053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3515253 (base 7) to base 13.\nAnswer: -125ab1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3627*u = 3614*u + 35698. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -710 divided by -5?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0.7. Let d = -24731 + 24731. What is the closest to d in 4\/7, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -x. Suppose x = -5*y + 198 - 43. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.282 + -14.718. Let f = -15.2 - p. Which is the nearest to 3? (a) 7 (b) f (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3*h**2 - 9*h**2 - 3.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, -0.1, -2\/5, -2, 0.1 in descending order.\nAnswer: 0.1, -0.1, -2\/5, -2, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t - 30*t = -8340. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-60)\/270)\/(10\/6). Which is the smallest value? (a) -5 (b) z (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -77*c. Let h(k) = 19*k. Give -21*h(y) - 5*n(y).\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 893*c + 2325 - 502 = -2642 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + v - 7. Suppose -4*n = -w - 15, -3*n + 2 - 7 = -4*w. Calculate the remainder when z(-5) is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**4\/7 + 4*l**3\/7 - 24*l**2\/7 = 0. What is l?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(108)*-1)\/sqrt(12) - sqrt(9)) + (sqrt(108)\/sqrt(2))\/sqrt(6))\/(sqrt(6)\/(sqrt(18)\/sqrt(9))*6)*6.\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.4 - 3.5. Let k = -25.9 + f. Let q = k - -23.36. What is q rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31869*g + 27896 wrt g.\nAnswer: 31869","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -8*f - 2. Let a(s) = 12*s + 3. Let d(h) = -5*a(h) - 7*w(h). What is the tens digit of d(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -21*b + 11. Let h(d) = -10*d + 5. Determine -3*g(n) + 7*h(n).\nAnswer: -7*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**5 + 55*f**4 - 95*f**3 + 45*f**2.\nAnswer: -5*f**2*(f - 9)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105 - -739. List the prime factors of d.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6787.\nAnswer: 11, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 2132222?\nAnswer: 2132232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.40124g in tonnes?\nAnswer: 0.00008240124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/5)\/(8\/12). Let h = 0.15 - -0.15. Which is smaller: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.05, 3, 0.4, -3\/5, 4\/5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 101 - 8 = 0. Is i at least 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2257 - 14783439\nAnswer: -14785696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2730554*h**4 - 4*h**2 - 310641.\nAnswer: 10922216*h**3 - 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -395323*y + 8697129. What is k(22)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 956005 is divided by 54.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*d = -198. Let p be 2\/8 + d\/8. Is p*-3*(-2)\/(-3) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191570 rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1666, 3, -0.4, 35\/9, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 16333*r**3 - 16343*r**3 + 49098*r**3 + 3 - 16368*r**3.\nAnswer: 54*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 22 = -5*z, 4*z - 3*x + 3 = -1. Let s = -34 - -37. Suppose -33 = 2*o + s*j, 2*o = -6*j + 4*j - 30. Sort 0.4, z, o.\nAnswer: o, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-162)\/(-8)*(-8)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-5)*(-3)\/((-27)\/45).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f + -32340b?\nAnswer: -3233ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -90486 and 4.\nAnswer: -361944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 725 and 1124875?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 158 and 13.\nAnswer: 2054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 238*x**2 - 1429*x - 2003. Let u(i) = 10*i**3 - 1905*i**2 - 11425*i - 16025. Let q(v) = -25*d(v) + 3*u(v). Solve q(t) = 0.\nAnswer: -40, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152, 150, 148, 146?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 18, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/152*-6*(-8)\/48. Which is the second smallest value? (a) 1 (b) 5\/2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.37 + -0.33. Let o = 5.04 - p. What is the closest to 11 in o, -3, -2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 35*k + 4180 = -9*k - 51*k for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 126, 107, 70, 9, -82?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/206, 0.5, -23\/37, 3, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + 0)\/(-1 + 0). Let q be 5\/3 - 1\/g. Let w = -22 - -22. Is q greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000088955 rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.04, -6, 1237, -18, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 44, 51, 58, 65, 72?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25620?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 + -35?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-336)*21\/(21\/(-3)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*p + 112, 73*p = 68*p + 2*f + 92. Solve -115 = -3*y - p*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49888953.\nAnswer: 3, 53, 11621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*a + 5327 - 3710 = 0 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/189)\/((-2)\/12)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7582 - -2053. Is (2\/3)\/((-38)\/u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 4220714*g.\nAnswer: 2*g*(g + 2110357)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -22*b**5\/3 + 212*b**4\/3 - 206*b**3 + 364*b**2\/3 + 640*b\/3 - 192 = 0?\nAnswer: -1, 1, 18\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 865875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 4*q - 18, -11*p + 16*p = q + 13. Suppose -3*w + r = -1864, p*w + r = -7 + 1253. What are the prime factors of w?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 1 + (1 - -14)\/5. Suppose -w*i - 14 + 330 = 0. Find the third derivative of -13*h**2 - 135*h**4 - 19*h**2 + i*h**4 wrt h.\nAnswer: 552*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 166*w**2 + 19*w - 3. List the prime factors of d(-5).\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + (sqrt(425) - -1*sqrt(425))**2 + 0 - (sqrt(425) + (3*(sqrt(425) + -1) - sqrt(425)) + sqrt(425) + 1 + -3)**2.\nAnswer: -5121 + 200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6*g = 7*g - 49, -3*g + 59 = 4*y. Solve a + 2*s - 7 = -0, 2*a = s - y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8605 + -5702. Let x = v - 63853\/22. Calculate the common denominator of x and 33\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90274 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258, 165, 68, 9, 30?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**2 + 42*t = 0. Calculate t.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4780709 is divided by 544.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 602255 (base 8) to base 12.\nAnswer: 96579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 12*w**2 - 55*w - 28. Let z be y(5). Sort -2, 13, 5, 1, z in ascending order.\nAnswer: z, -2, 1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/2)\/(m\/((m*(m**(2\/15)*m)\/m)\/m*m)))**(3\/7) assuming m is positive.\nAnswer: m**(7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 0*g + 1\/24*g**6 + 125\/3*g**3 + 25\/24*g**4 - 11*g**2 - 2\/3*g**5 - 2. Factor y(k).\nAnswer: 5*(k - 5)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2 (b) -1\/3 (c) 2114 (d) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/37352 and 127\/3220.\nAnswer: 186760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/42*12\/8. Let v = -1.17 + 0.17. Sort -3, v, h.\nAnswer: -3, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*s = -4*s. Let q = -112 - -91. Let j = -18 - q. Solve -j*r - 6 + s = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w + 24*w = -3*g - 2, 126 + 163 = -40*w - 3*g for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 + 76.132. Let c = 9073709.86799822 + -9073710. Let x = o + c. Round x to seven decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, m: 15}. Give prob of picking 1 p and 2 m.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*r - 5*a, -5*a = 3*r - 5*r + 29. Suppose r*q - q = 0. Let h = 0.1 - 3.1. What is the second biggest value in h, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14746972, 14746985, 14747006, 14747035, 14747072?\nAnswer: 14747117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(25)*-1)\/sqrt(5).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**4 - i**4 - 3*i**4 - i**4 + i**4 + 2*i**4 + (-2*i + 2*i - 4*i**2)*(2*i**2 - 2*i**2 - i**2).\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.304 and 67023916.\nAnswer: 67023912.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2 + 3637*n + 43500 = 0. What is n?\nAnswer: -3625, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 3*r = -0*r + 4, 3*r + 1 = 5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2.4, -67, 1, -0.03.\nAnswer: -67, -5, -0.03, 1, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.41133 - -2.06176. Let z = 0.65 - m. Round z to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -289b6b536 + 2?\nAnswer: -289b6b534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (42\/112)\/((-3)\/12). Suppose -4 - 14 = z - 4*y, -3*y = z - 10. What is the second biggest value in -0.3, z, i, 1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (840\/7 + 11)*1*21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/9848368 and 26\/9.\nAnswer: 88635312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-6*(2*sqrt(2) + -1))**2 + 3 + -5.\nAnswer: -144*sqrt(2) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-308)*(-133)\/38?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5687*a + 5695*a + 5700*a - 4032 = 17146*a for a.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*i**3 + 209*i**3 - 131*i**3 + 7.\nAnswer: 2*i**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 3*w - 13. Let m be n(6). Let z(b) = 255 - b - 253 - m*b + 2*b**2. List the prime factors of z(6).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 226*m**2 - 4*m + 4. Let r(k) = -452*k**2 + 9*k - 9. Give 5*i(h) + 2*r(h).\nAnswer: 226*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 3*q)*(-5425*q - 4567*q - 1460*q + 3890*q - 823*q - 3731*q) as u*q + l*q**2 + c and give l.\nAnswer: 36348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (0 + (sqrt(931) - (-4 + sqrt(931)) - sqrt(931)) + 5 + sqrt(114)\/(sqrt(30)\/sqrt(5)) + (sqrt(190)*2 - sqrt(190))\/sqrt(10))**2.\nAnswer: -90*sqrt(19) + 561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(4\/7)*a)\/(a*a\/a**(-4))*(a**(-2)*a)\/a**0)**(2\/127) assuming a is positive.\nAnswer: a**(-76\/889)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -1 + 8 + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 2*v**2 + 8*v - 7. What is the remainder when 42 is divided by f(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2214 (base 9) to base 8\nAnswer: -3141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2297766185 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b - 5*b - 3*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 7044.343 to the nearest one hundred.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - g + 68973, -5*l + 46*g + 86217 = 48*g. What is the thousands digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-90)\/(-44))\/(-45)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/4)\/(4\/48). Let h be 4\/n - (-176)\/3. Suppose 4*j - h = 2*j. Calculate the remainder when j is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (224\/(-21))\/((-4)\/36). What is the highest common divisor of d and 864?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 20*k + 32. Let i be a(-22). Let c be (-2)\/i*2 - 100\/(-60). Suppose -5*y - 4*f = -81, 0 = c*f - f - 4. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3392580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (99 - (126 + 129)) + 57\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**3 + 2*k**2 + 6*k - k**2 + 6*k + 2 - 13*k in the form p*k**2 + v*k + b + z*k**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-24)*6*1*(-4930)\/145?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/4)*h**10)\/((h\/((h*(h**(-2\/21)*h)\/h*h)\/h)*h)\/((h**(-6)*h)\/h)) assuming h is positive.\nAnswer: h**(307\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 73048 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (4\/18*3)\/(12\/(-9))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 3*g + 21. Suppose -g*x = -x + 72. Calculate the least common multiple of 18\/x - (-35)\/2 and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 158*b + 3241. Give m(20).\nAnswer: 881","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}