diff --git "a/data/dm_maths/full_data_2/1387_11255.jsonl" "b/data/dm_maths/full_data_2/1387_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1387_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let l(h) = 30*h - 189. Calculate the remainder when 1213 is divided by l(9).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.075*12\nAnswer: -60.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 337.\nAnswer: 3370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -63. Let r = 57 - 111. Let q = n + r. Is 1 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccqgqcq. What is prob of picking 1 g and 1 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/13)*u*u)\/u**(-1\/6))**(-3\/7)\/((u*u*u**(-3))\/((u\/(u**(-5)\/u))\/u))**2 assuming u is positive.\nAnswer: u**(2391\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -181 - -908\/5. Suppose 0 = 2*k - 4*o - 6 - 10, 4*k + o = 14. Suppose z + k = -3*z. What is the third smallest value in 0.4, g, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**7\/3360 + o**6\/480 - o**5\/240 + o**3\/3 + 2*o**2. Let a(v) be the first derivative of c(v). Factor a(h).\nAnswer: -h*(h - 2)*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**5\/3 + 10*q**4\/3 - 14*q**3\/3 + 2*q**2.\nAnswer: -2*q**2*(q - 3)*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(5\/7))\/m*m*m*m**21*m*m*m*(m**(-2\/13))**(-4\/41) assuming m is positive.\nAnswer: m**(94397\/3731)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/14*160\/(-24). Solve 5*h + c = 5*q, 5*h + 2*q + q = -26 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + -3 - sqrt(147)) + sqrt(147) + 1 + (sqrt(147) + 2)*6 - (3 + 4*sqrt(9)\/(sqrt(24)\/sqrt(128))))**2.\nAnswer: 462*sqrt(3) + 3316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1490*k**2\/7 + 12004*k\/7 - 1502 = 0. Calculate k.\nAnswer: 1, 5257\/745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1625146 divided by -66?\nAnswer: -812573\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -23*r + 19. Factor -1\/6*t**r + 1\/3 + 1\/6*t.\nAnswer: -(t - 2)*(t + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylyy when four letters picked without replacement from yyylylyl.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**2*k**2 + 298*g**2*u - 65*g*k**2*u + 4*g*k**2 - 2*k*u - 1 wrt k.\nAnswer: -4*g**2 - 130*g*u + 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 319.99446 + -320. What is z rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5)*(-1)\/(-2)*140\/84?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008489 rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/321310 and 73\/7620.\nAnswer: 1927860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -5*i**3\/3 - 25*i**2\/2 - 20*i + 9. Factor o(r).\nAnswer: -5*(r + 1)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5774*z**2 + 2888*z**2 + 5*z**3 + 2886*z**2 - 13 + 2.\nAnswer: 5*z**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 + 3*l**4 - 6*l**4)*(-l - 2*l - 86*l)*(0 + 0 + 1).\nAnswer: 178*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 18*c + 43. Let j be u(-6). Let x = 40 + j. Solve 3*g = 5*r + x, -2*r - 1 = -5*r - 2*g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21\/102703 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**4\/4 - 3*q**3\/2 - 12*q**2. What is the remainder when s(17) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 171 = 3*s + 6*j, 228 = 4*s - 3*j. Suppose -28 = -17*b + s. Sort 11, b, 3.\nAnswer: 3, b, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 9 + 0 = 0. Let s = j + 9. Let d(a) = 2*a - 9. Let q be d(s). Put 0, q, -2 in descending order.\nAnswer: q, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18\/5 + 21\/5. Let b be (-6)\/(-4) - (-16 - -18). What is the nearest to -0.01 in w, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 225.999901 - 226. What is a rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-3\/8)\/d))**2 assuming d is positive.\nAnswer: d**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173039773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o + 21*o + 8 = 0. Let a = -8 - -8.3. Let y = -11\/5 + 43\/15. What is the nearest to y in -3\/5, o, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -8\/7 (b) -251 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1731435 and 28395534.\nAnswer: 141977670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11025895 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(3\/16)*(o**(-9\/4)\/o)\/o)\/((o**(11\/2)*o)\/(o\/(o**33\/o)*o)))**(-4\/3) assuming o is positive.\nAnswer: o**(213\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1345.82 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 439311913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/7441?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 5:32 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -366662?\nAnswer: 366655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 102*c**2 + 82*c - 693. What are the prime factors of a(101)?\nAnswer: 2, 3, 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.81 + -0.19. Let o = -46.95 + -0.05. Let r = 47.1 + o. Which is smaller: r or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 14 = -26. What are the prime factors of 2\/(s\/3906*-6)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10635 (base 10) to base 16\nAnswer: -298b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 107*d**6\/6 - 489*d**2 + 417*d + 3. Find the first derivative of s(g) wrt g.\nAnswer: 2140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2 (c) -3 (d) -2\/9 (e) 3\/2 (f) -32.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1123 + 0.4827. What is s rounded to two dps?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/4 - 2\/4. Suppose -5*g - 1 = 4*p - 2*p, 4*g + 4*p - 4 = 0. Let j = k + g. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**4\/4 - 2*m**3\/3 - 2*m**2 - 2*m - 64. Give g(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -453*l - 439*l + 914*l.\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 672 (b) 0 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10))\/((-18)\/(-36)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(200) + 3)*-1 - (5 + 1*(sqrt(200) - (-3*1*sqrt(200) + sqrt(200)))))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uluuluuuuuluuuluulu. What is prob of sequence ullu?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 + 0 + 0*s**3 - s**3 + 0 + 2 - s. Let i be 0 + 3 + (-2 - -1). Let u be r(i). Solve u = -3*l - 7 - 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25460*q**2 - 12726*q**2 - 12732*q**2 - 2*q**3 + 6*q**3.\nAnswer: 4*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjm when three letters picked without replacement from {j: 9, m: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 682155520740?\nAnswer: 682155520740.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29571499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 456553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(-2)*(13 + -17). Let s(x) be the third derivative of a*x**2 + 0 + 0*x**3 + 0*x**4 + 0*x + 1\/60*x**5. Let j(u) = 6*u. Calculate s(j(c)).\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7601212 to the power of 1\/2, to the nearest integer?\nAnswer: 2757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/2)\/3)\/((180\/(-18))\/140)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11129, 44518, 100189, 178148, 278401, 400954, 545813?\nAnswer: 712984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 39*n - 40. Let y be g(16). Suppose y = 11*o - 7*o. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -263 - 1?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heusdys. Give prob of sequence du.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 15 = -10. What is the units digit of 2 + (-8)\/d - 1965\/(-25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, h: 1, s: 4, q: 1, c: 2, b: 2}. What is prob of sequence aa?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 189, 192, 197, 204?\n\"Answer: h**2 + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l - 354 + 354 + 2*l**3. Let u(k) = -3*k**3 + 5*k. Calculate 5*h(z) + 4*u(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a kilogram in grams?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 5, 9, 13, 17?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3235936ns in microseconds?\nAnswer: 0.0003235936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1446, -2890, -4334?\nAnswer: -5778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -0*u + 4*n + 22, -2*u - 4*n - 2 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*x = 0. Suppose x*y - 3*y + 33 = 0. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 4:00 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwv when three letters picked without replacement from pvpvwepew?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3137, 3167, 3197?\n\"Answer: 30*m + 3107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*v**3 + 0 - 16\/7*v + 4\/7*v**2.\nAnswer: 2*v*(v - 2)*(v + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*n + 4381 = -308 - 5431 + 2899 for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 5 = 3*b. Let x be (8\/10)\/(-11 - 112\/(-10)). Sort x, 5, b, 1 in increasing order.\nAnswer: b, 1, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97322?\nAnswer: 2, 48661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 164 or 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 1600*r + 80811. Determine t(-49).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrdp when four letters picked without replacement from {o: 2, u: 5, r: 7, p: 1, d: 3}?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3998 + 1438 = -116*y - 12*y for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007091 to 7 dps.\nAnswer: -0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (0 - 6) + -21 + 18 + 46 + -1?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63 + 32. Let j = z - -30.1. What is j rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**5*l*s**2 + 12*f**3*s**3 + 13*f**2*l*s**3 + f**2*s**3 - f*l*s**2 - 7*f*l*s - l*s wrt f?\nAnswer: 60*f**2*l*s**2 + 72*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 329862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnkkununnunakkn. Give prob of sequence nk.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(90)\/sqrt(5) + sqrt(18)))\/(1*sqrt(729)).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (3 + -2)) + 6 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 96350490 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2235 and 4.\nAnswer: -8940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9988 + 1. Round t to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n**2 - 13675*n - 163538. Calculate u(-12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uaaauuaaaaauu. Give prob of picking 2 u.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -460756 + 5?\nAnswer: -460751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + z + 0*z. Let t(y) be the second derivative of -y**4\/12 + 9*y. Calculate g(t(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(286))\/sqrt(11))\/sqrt(2).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -257.37282 - -0.07282. Is 2 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-1 + -2)) + (-45 - (41 + -49 - 134))?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -46*f**2 + 9*f - 18. What is w(2)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.5 and -9.4.\nAnswer: 14.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 0 - (19 - (14 + -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 184960 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s - 11. Give h(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 23 + 2*z**2 + 47 + 3*z in the form g*z**2 + c + u*z and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 165.4386256 to 3 decimal places.\nAnswer: 165.439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-3) - (-2 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -224?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -1, 1, 19 in ascending order.\nAnswer: -1, 1, 19, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/117 and -83\/78?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 4:34 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 12:34 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0786 or -3.13?\nAnswer: 0.0786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -12592 (b) -0.5 (c) -2 (d) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -82801*d**4 - 81618?\nAnswer: -331204*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30602077?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(5) + (sqrt(5) - sqrt(320)))*-1 + (sqrt(5) - (sqrt(5) + sqrt(180)*-6))*-5.\nAnswer: -174*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, 46, 1, -16 in increasing order.\nAnswer: -16, -8, -3, 1, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 910 = -464. Let l = s - 211. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43917326*g**3*i**4 - 55*g**3 + 343171*g**2*i**2 wrt i?\nAnswer: 1054015824*g**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v = 52*v - 20112. List the prime factors of v.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 34*i. Suppose 2*q - 5*k - 3 - 13 = 0, 5*k - 20 = 0. Calculate the remainder when a(1) is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -6. Which is greater: 1\/2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 5\/89767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 22*y**2 + y + 13. Is s(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*n + 151 + 199 = 86. Let v be (-1 - -3)*37\/2. What is the second derivative of v*z**3 + 3*z**3 - n*z + 5*z**3 wrt z?\nAnswer: 270*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -13. Let w(k) = 5*k**2 + 15*k - 2. Let g be w(3). Suppose 7*q + 53 = g. Which is the fourth smallest value? (a) 0.2 (b) 3 (c) r (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25797744 divided by 48492?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 34 + 50234?\nAnswer: 50270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**3 + 47*k**2 - 47*k**2.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 173*h + 58. Let l(q) = -q. Calculate z(l(j)).\nAnswer: -173*j + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwv when three letters picked without replacement from {v: 4, w: 2, h: 1, i: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 5:06 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -73344551\nAnswer: 3\/73344551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*z - 4*j + 1, -5*j + 19 = z. Find the second derivative of x - 10*x + z*x - 14 + x**2 + 4*x - 27*x**4 wrt x.\nAnswer: -324*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-10)\/105*-1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 4 = 2*v + w, 5*w = -4*v + 23. Let g(i) = i + 10. Suppose n - 6 = 3*n. Calculate the smallest common multiple of v and g(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2655 + 305.5345. Let z = j + -306. Which is the second biggest value? (a) 3\/4 (b) 15 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 21*k - 354. Let r be c(34). Calculate the greatest common divisor of 96 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.31266 or 18.88?\nAnswer: 0.31266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94470044?\nAnswer: 2, 71, 332641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kcckc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 106 - -d?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010100111 (base 2) to base 5.\nAnswer: 10204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**5 - f**4 + 2*f**2. Let y(s) = -28*s**5 - 44*s**4 + 88*s**2 + 140*s. Let b(h) = -176*i(h) + 4*y(h). Find the second derivative of b(c) wrt c.\nAnswer: -5760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171882.\nAnswer: 2, 3, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6912 and 1032?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12057?\nAnswer: 3, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16, 23, 44, 85, 152, 251?\n\"Answer: m**3 + m**2 - 3*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 11:25 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 24691903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16 - (-6 - (-45)\/3)) + 25\/1. What is the greatest common factor of 216 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110 + -100000?\nAnswer: -1011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*q + 45*q + 13*q.\nAnswer: 112*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/2 + 4*h**2 + 5*h\/2 - 7.\nAnswer: (h - 1)*(h + 2)*(h + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -573524797?\nAnswer: -573524796.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qyay. Give prob of sequence aaqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1913 + 686 = 23*u. Let o(a) = 4*a - 119 - a**2 - u + 232. Give o(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a factor of 25431900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 649706 and 6805168?\nAnswer: 6698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 3*s**2 + 4*s. Let n be (-23)\/6 - 4\/24. Let z(d) = 3*d**3 + 8*d**2 - 11*d. Let l be -11*-9*3\/(-27)*1. Calculate l*x(v) + n*z(v).\nAnswer: -v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h + 58. What is z(-17)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -658 + 1119. Let g = s - 3225\/7. Factor 4\/7 + g*u - 2\/7*u**2.\nAnswer: -2*(u - 2)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4376, 8867, 13358?\n\"Answer: 4491*m - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7342 (base 8) to base 14.\nAnswer: -1562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -43*v + 8. Let r be p(-6). Let l = 453 - r. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8453400 to the nearest one hundred thousand.\nAnswer: -8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.11290995 rounded to one dp?\nAnswer: -34.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117762 and 4294.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjjk when four letters picked without replacement from {k: 6, j: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 590.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ozlwwlzbzwbzbbbwo?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000366154 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2693 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 962, 5 in descending order.\nAnswer: 962, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 208 + -204. Suppose d*l - 8*l = 0. Which is greater: -5\/62 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14366 and 7096804?\nAnswer: 7096804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14093.7960863004 + 5.\nAnswer: 14098.7960863004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/5)*z)**(-2\/11)*(z\/(z\/((z*z**1)\/z*z*z*z))*z*z)**(-7\/9) assuming z is positive.\nAnswer: z**(-818\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 2. Let m(x) = -x**2 - 3*x + 4. Let d be m(-3). Let h(k) be the second derivative of -k**2\/2 - 4*k + 101. Give d*h(r) + 2*n(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z**3 - 30*z**2 - 74*z - 772. Let i be c(-13). What is the highest common factor of 165 and i?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.22022 or 1\/56?\nAnswer: -0.22022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 234*d*t + 10400*d + 4963600*t wrt d.\nAnswer: 234*t + 10400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*d**2 + 83 - 1535*d - 104 + 1535*d to the form b + q*d + g*d**2 and give b.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228 and 399.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkbqbbkqkbqb. Give prob of picking 2 q and 1 k.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - s + 2*s + 8, 0 = 5*x - 5*s - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -47951332.\nAnswer: -14385399.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 9 = -5*c. Let x be ((-1)\/2)\/(c\/(-448)). Let l be (-48)\/x + 6\/(-14). Solve l = 3*r + 8 + 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -6568*o**3\/3 - 3481*o - 2626. Differentiate q(y) with respect to y.\nAnswer: -13136*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/9)\/((-2)\/6). Solve y = -k + 9 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 9*k = 1. Is 1\/37 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-7) + (-51188)\/(-8022))\/(2\/(-3))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3787115, 3787233, 3787351, 3787469?\nAnswer: 3787587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 + (-3 - 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1032, 2214, 3540, 5010?\nAnswer: 6624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 1536?\nAnswer: 4608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -115769a8 + -1?\nAnswer: -115769a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*g - t - 30 = 0, -2*t = -8. Let l = g + 21. Suppose -l*j + 12 = -12. What is the lowest common multiple of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 3224512?\nAnswer: 29020608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/(w\/(w**(-21)*w)))\/w)*w**(-10)\/w*w)\/(w**(-1\/4)\/w)**(-1\/2) assuming w is positive.\nAnswer: w**(91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 542, -38, 2\/39, 4\/7?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 553334 (base 6) to base 14.\nAnswer: 12b58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 1)*(m + m + 0*m)*(5 - 3 + 1)*(3 - 3 - 2) as j + b*m and give b.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*t - 2*g = 8, 0 = -2*t + g + 10. Solve t*p - 2 = 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559668.\nAnswer: 2, 3, 46639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 909404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/11 != 1488054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4604 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = 4*q. Let j = 10 - q. Let b = 48 + -39. Calculate the greatest common factor of j and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*x + 116416 = 110*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4 + 6. Let o(l) = -l**2 + 0*l**x - 2*l**2. Let r(g) be the second derivative of -g**3\/3 + 3*g. Determine r(o(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -3. Let d be ((-9)\/(-21))\/((-6)\/(-21)). Which is the second biggest value? (a) d (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*p**3 + 73*p**3 + 2796*p - 236*p**2 - 18*p**3 - 25*p**3 - 16*p**3 wrt p.\nAnswer: -12*p - 472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*d + 6 = 0, 5*t + 4*d + 16 = 3*t. Let b(r) = -r**3 - 2*r**2 - 2*r - 6. Is 17 a factor of b(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 585 - 6*y**2 - 587 - 13*y**2 - y**3 in the form n*y**3 + g*y + b + u*y**2 and give u.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -66450, -132265, -196832, -259527, -319726, -376805?\n\"Answer: 104*r**3 - 66543*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152)*-1*5)\/(sqrt(100) - (-2*sqrt(100) + sqrt(100)) - -2*sqrt(324)) + 2.\nAnswer: -15*sqrt(2)\/7 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 3*g - 2*g)*(-1 + 2 - 2)*(-3 - 1 + 3).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -8, -1.\nAnswer: -8, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3954 + -3950. Solve 2*a + 32*j - 35*j - 21 = 0, x*j = 4*a - 32 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002204513279 to 7 dps.\nAnswer: 0.0002205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -340, -455, -648, -919, -1268, -1695, -2200?\nAnswer: -2783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 30 + -25 + (-14 - -31).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100 - 47. Let b = a + -33. Suppose 8 = 2*t - b. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23237*i**4 + 18788*i**2?\nAnswer: 557688*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3 - 1170*w**2 - 2348*w = 0. What is w?\nAnswer: -2, 0, 587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, s: 18}. Give prob of sequence ssxs.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -1\/4, 2\/15, -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1008 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 + -66. Is ((-115)\/20)\/((z\/(-732))\/3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**4\/24 - 13*c**2. Let i(u) = 6*u**2. What is i(s(d))?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 63419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from {n: 4, w: 2, j: 4, u: 1, y: 1, l: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70902 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 9:29 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1385862 and 18.\nAnswer: 4157586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s**3 - 3*s**2 - 46*s - 91. Let t be g(-2). Sort t, 5, 0, 7 in increasing order.\nAnswer: 0, 5, 7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.1 and 0.452081?\nAnswer: 0.647919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 48 + 64 - 2*m**2 + 3*m**2 + 170 + m - m**3. What is the units digit of i(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 4*v - 28. Solve -22 - 4 = 5*g - a, 2*g + 3*a + v = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*l + 430*l - 229 = 395 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25627933703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - r**2 - r + 20. What is the lowest common multiple of o(0) and 3\/8 - (-3348)\/288?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 755*f**4 + 2273*f**4 - 567*f**4 - 1218*f**2 wrt f.\nAnswer: 59064*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 168522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 10\/21 (c) 0 (d) 1\/9 (e) 2 (f) 0.2 (g) 0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2 = -4*j, 5*b - 121*j = -126*j - 15 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 3, -0.5, 5\/99?\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4*n + 15. What are the prime factors of ((-8)\/n)\/(2\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**5 + 3*a**5 + a**5)*(-67735 + 136750 - 66705).\nAnswer: -2310*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99317018, -397268064, -893853140, -1589072246, -2482925382, -3575412548?\nAnswer: -4866533744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 120, -4, -1, 4 in ascending order.\nAnswer: -4, -1, 4, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 107, -4, -6 in decreasing order.\nAnswer: 107, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 6 = -4*r + 5*r, 0 = r - 4*m - 6. Let a(l) = -180324*l - 56. Let w be a(r). Round w to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 5 = 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1545*b**2 + 3085*b - 10.\nAnswer: 5*(b + 2)*(309*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 21 = -4*s. Suppose 2*b = -2*c - 26, -b = s*c + c + 13. Let a = 17 - b. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 1. Let r be l(-2). Let m(q) = -q**3 - 4*q**2 + 5*q + 5. Let t be m(r). Let a = t + 2. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2 + 34. Does 8 divide w(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 - 4 = -8*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*u**2 - 3*f**2 + 11*f*u**4 - 6*f*u**2 + 6*f*u - 12 wrt u?\nAnswer: 2*f**2 + 132*f*u**2 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*((x**0\/x)\/x)\/x*x**13)\/(x**11\/x)**(1\/3) assuming x is positive.\nAnswer: x**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1777*k + k**2 + 79*k - 102*k to p*k**2 + d + a*k and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.15, -16, 0, -1, 0.1?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5 - 3*c**3 + 2*c - 3 - 13*c**2 + 2 + 2*c. What are the prime factors of n(-5)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 - 36*o**2 + 26*o + 1079. What is the remainder when z(-18) is divided by 54?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 5:28 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2771 = 1524*k - 4295. Let x = 1422894\/155 - 9180. Do k and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m + 3*m + 2*m)*(1 + 3 - 5) + 41*m + 256*m + 82*m - 2 + (0*m - 2*m + m)*(0 - 2 + 0) + 0 - m + 0.\nAnswer: 382*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, b: 3, f: 2}. Give prob of picking 1 f and 1 s.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (153\/5)\/(-3) + ((-78)\/351*-189 - 39)\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 32.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 126 and 22532.\nAnswer: 2839032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3 + 4) + -3. Suppose -a - 2*a - 10 = 2*c, -c = 5. Which is bigger: a or o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -2\/3, 2\/7, 184, -9, 18?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*w + 50, -16 = 4*w - 6*w - 4*a. Calculate the greatest common divisor of w and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 6 = -4*a, -4*x = -0*x + 2*a + 16. Let l = -1531 + 1539. What is the nearest to x in l, -2, -2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10560 and 3009456.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2861 + -1.2861. Let j = -145 - -144.939. What is the third biggest value in j, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/16)*y*(y*y\/((y\/y**2)\/y))\/y)\/(y**(-12)\/y**(8\/3)))**(-48) assuming y is positive.\nAnswer: y**(-893)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8951.\nAnswer: 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 43*x + 2688. Calculate the remainder when 1868 is divided by d(-62).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, e: 9}. Give prob of sequence eeq.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26673 is divided by 117.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -141600368*b**5 - 213858771*b?\nAnswer: -2832007360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t. Let x(y) = 5*y**2 - 5*y + 7. Let n be x(2). Suppose 56 = 3*u - n*u. Let s(i) = 2*i**3 + 3*i**2 - 4*i. Determine u*o(h) - s(h).\nAnswer: -2*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + m + 0*m)*(-1 + 178 + 60) + 4 - 4*m - 4 + (1 + 4 - 1)*(3*m - 3*m + m) - 4*m + 5*m - 2*m.\nAnswer: 473*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 3 (b) -3 (c) -3\/2 (d) 0.1199 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 772004458 to the nearest integer?\nAnswer: 27785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, a: 1, o: 3, b: 4, f: 5, y: 4}. Give prob of sequence yb.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11655 and 35?\nAnswer: 11655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 13*r**2 - 4*r + 68. Calculate the remainder when 19 is divided by q(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9)\/(-135)*-3)\/4)\/(((-216)\/(-300))\/(-9))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6671226? (a) -25 (b) 0 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.763 - 767566.210313?\nAnswer: -767565.447313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpp when three letters picked without replacement from bpcvbvpbvir.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a = -6*a + 5*t + 51, -t - 1 = -4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three fifths of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110011001111000010 - -10001100111?\nAnswer: -100110010111101011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a microgram in nanograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310715 (base 11) in base 10?\nAnswer: 2270218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/3 less than 91622115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 = -104*i + 99*i. What is the lowest common multiple of 6\/39 + (-2720)\/i and 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-294)\/(-280))*((-364)\/8)\/(-13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*l**2 + 3*l**2 - 15*l**2 to n*l + s + x*l**2 and give x.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(272))**2 - (-2 + sqrt(34)\/sqrt(2))) + 5 + (sqrt(136)\/sqrt(128))**2 - (-4 + ((-1 + sqrt(833))**2 + sqrt(833) + -1)*6).\nAnswer: -97183\/16 + 41*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/5*(-23650)\/(-775720)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -115 - 218?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 282 + -262. Solve n - 4 = -3*n + 2*f, 0 = 4*n + 2*f - s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2 = -2*g, g = 2*i - 341. Let b be i\/8 + (-12)\/(-16). Suppose 4*x = -8, -4*k + b + 18 = 2*x. What is the remainder when 21 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 4*u, -4*u = 4*i - i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 10. Let h = b - -2. Find the second derivative of -3*o**5 + 0*o - o + o**5 + h*o**5 wrt o.\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*y - 16*y - 17*y + y**2 - 4)*(-3*y + 4 + y + 9).\nAnswer: -2*y**3 + 17*y**2 - 18*y - 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -68, -0.7, -4\/3, -76, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-195)\/260*((-9)\/(-12))\/(6\/(-2)).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -298*b - 1105*b**3 + 552*b**3 - 27*b + 551*b**3 + 1 to j*b**2 + k*b + z*b**3 + w and give k.\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 24*a**2 - 3*a + 36. Let j(m) = m - 10. Determine d(b) + 4*j(b).\nAnswer: 24*b**2 + b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 48*x**2 + 2552*x + 204. Determine b(80).\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 40*g**3 - 2*g**2 - 7*g + 9. Suppose -140 = -39*j - 23. What is the units digit of r(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4154 and 938.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000027720292 to seven decimal places.\nAnswer: -0.0000277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8390 is divided by 1631.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l + 8410. Let z(g) be the second derivative of -g**3\/6 - 500*g + 9. Give n(z(p)).\nAnswer: -2*p + 8410","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4*b - 6. Let o be (9 - 9)\/(0 - b). Suppose -4*w + 0*w + 8 = 0. Solve 0*a = 3*a + w*j + 14, o = 5*a - 2*j + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 8:33 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjqq when four letters picked without replacement from {k: 2, r: 4, j: 1, q: 6}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.85 in 3, -36, -8\/9, 6\/67, -2\/5?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 42*m**2 + 58*m + 11\/2*m**3 - 1\/2*m**5 - 3*m**4 + 24 = 0.\nAnswer: -6, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 100220013?\nAnswer: -100220013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.11, 0.037, 166\/5, -0.1, -3?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j + 18. Let q be g(7). Suppose 8*f - q = 12. Let h = 7 - f. Solve -4*z - 14 = -3*w, -2*w = -h*z - 3*w - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c + 10. Let a be f(-6). Let j = 58 + a. What is the greatest common divisor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d + 4. Let o(v) = v + 4. Let y(x) = -3*o(x) + 2*z(x). Let p be y(5). Does p = -1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121 and 37873.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-12))\/(861\/113652)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 2*b + 4 + 4, 0 = -2*b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42455557 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 6916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-18))\/(15\/((-405)\/18)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -248, 242, 1582, 4198, 8516?\nAnswer: 14962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c08 + 178?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 226 - 206.3. What is x rounded to 0 dps?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 94 and 2?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 12:40 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 118709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 - 66.9. Let k = 108 - 92.4. Let c = k - f. Round c to zero decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(4\/7)*f\/(f*f\/f**5))\/(f**25*f**(-1\/3)) assuming f is positive.\nAnswer: f**(-425\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*g**2 - 3152 + 3152 - 4*g**3 + 2*g**3 - 3*g**3 + 2*g**3 + (-2 - 2*g**2 + 2)*(2*g - 2*g - 2*g) to the form u*g**2 + z*g + q*g**3 + c and give u.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -13. Suppose a*q - 6*q + 1602 = 0. Suppose -q = -7*o + 209. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*q**3 + 1339331*q**2 - 4825233*q wrt q.\nAnswer: 114*q + 2678662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/120*10*(-1)\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/9)\/(0 + 1). Let r = -17.7 + 14.7. Which is the nearest to -1\/2? (a) r (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141668410019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1768591?\nAnswer: 11, 160781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 g when three letters picked without replacement from fggff?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 194 - 197. What is the nearest to -3\/2 in -4\/5, 1\/3, t?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -7, 1, -153, -1\/27, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - 18 - 4 - 34 + 6*o**2 + 2*o**2.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 4*f - 12 + 6*f)*(-1 + 0 + 2).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*l**2 + 15*l**3 - 1 + 66*l + 177*l**2.\nAnswer: 15*l**3 + 66*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (14\/(-18))\/((-2)\/3) and 49\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 129 - 70. Suppose 0 = -9*h + x - 23. Solve -l - h = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -138 + 140. Solve -4*c = -2*k - 2, -c + 3*k + 3 = -y*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1104 - 6691\/6. Find the common denominator of a and 10\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0 + 1, 3*b - 194 = 4*g. Is 22 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-227574)\/90)\/(8\/10). Let g = x + 3181. Calculate the common denominator of -32\/3 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*l + 12*r = -153*l - 431, -3*l - 8*r = 285 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 182237402, 364474806, 546712210, 728949614, 911187018, 1093424422?\n\"Answer: 182237404*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*n + 2*q + 38, -4*q = 5*n - 31. Let x(d) = d**2 - 6*d - 2. Let f be x(n). What is the derivative of -f - i - 3 + 4 wrt i?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2257119 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 highest common divisor of 168012 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -89*c + 2992. Give o(30).\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*j + 12*j**2 + j - 15*j wrt j.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 - 53. Let t(w) = -g*w**3 - 6*w**3 - w**2 + 5*w + 3 - 1 + 10*w**3. Let d be t(-2). Solve -5*o = 4*k - 17, 0*o - 16 = -4*k - d*o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqcmmqmamaqmmm. Give prob of sequence qaq.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 j when two letters picked without replacement from sspjzspspzm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1031 + 1349 = 5*u. Suppose 3*h - 2460 = -2*c, h - 349 = c + u. Does 77 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 - -1.11. Let d = t + 0.59. Let y = -1.1 - d. Which is bigger: y or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48.308 - -211678151.\nAnswer: 211678102.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2606 not equal to -2603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*n + 5*f - 3*f, -2*n + 4*f = 12. Let h(l) = -10*l + 6. Let q be h(-9). Suppose 4*x + 2*m - q = 0, -3*m + 5 = n*x - 51. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0.02 (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 10:38 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3216.055537 - 0.83.\nAnswer: 3215.225537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 24*k + 48. List the prime factors of b(5).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 18. Suppose 0 = -g - 4*o, -2*g + 2*o = g + 28. Let x be r(g). Suppose x = 4*d + 5*u, 0*d = 2*d + 4*u - 2. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9881 (base 12) to base 5.\nAnswer: 1014201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 178, 502, 1096, 2050?\nAnswer: 3454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 + -4 - (-8 + 32 + -14).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1077560 to the nearest 10000.\nAnswer: -1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6775680881.\nAnswer: 31, 47, 181, 25693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/8 in -0.5, 0.1, -6, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 532397357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 19*r + 4. Let s be v(22). Suppose -2 = -2*z - 0. Suppose 5*t - 2*d = s, 6 = -5*d + z. Is 21 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + -6*(2 + sqrt(405)) + (sqrt(405) - (sqrt(405) + 1 + sqrt(405)*2)))**2*-2*1*-6.\nAnswer: -1874952 - 114048*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-34)\/(-22) - (-2)\/(-2). Let r = 18.01 - 16. Let x = 0.01 - r. What is the third biggest value in 0.4, x, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.8 - -17.8. Which is the second biggest value? (a) 2\/5 (b) p (c) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.82919 milligrams in kilograms?\nAnswer: 0.00005782919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1163.4263 + 1168.38. Let r = 0.0463 + k. Let w = -3 - -2.9. Sort w, 4, r, -0.5 in increasing order.\nAnswer: -0.5, w, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-594)\/1188)\/(7\/36)*(-77)\/176*-8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.327151 minutes to hours.\nAnswer: 0.08878585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2902 or 2903?\nAnswer: 2902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*x - 18 - 192 = 0, -w - 5*x = -70. What is the smallest common multiple of 14 and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 558752989?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 5*t + 10 + 1\/2*t**2. What is g(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (5 + -3 - (-1 + -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 3*f - 22 - 15, -2*p = 5*f - 30. Suppose -5*x = w - 9, 2*x - w + 2*w - 3 = 0. Suppose 0*j + 162 = p*s + x*j, -4*s + 140 = -j. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281097 is divided by 93647.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*v**5 + 206*v**4 - 19*v + 30 wrt v?\nAnswer: -100*v**3 + 2472*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -206 (b) -511 (c) 113 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 26*x = -145 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 3:39 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2344117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3410 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 15*m**2 - 48*m + 30. Let u(i) = -16*i**2 + 49*i - 31. Suppose 112 = -216*g + 200*g. Let d(z) = g*k(z) - 6*u(z). Factor d(n).\nAnswer: -3*(n - 4)*(3*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*d - 6*d + 4*d)*(2*d - 3*d**2 - 2*d) + 9*d**3 - 358*d + 358*d in the form s*d**3 + p + f*d + h*d**2 and give s.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -202 + 208. Let t(x) = 6*x**2 - 7*x + 6. Let q(a) = a**3 - 17*a**2 + 20*a - 17. Determine y*q(i) + 17*t(i).\nAnswer: 6*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/2*(16 + (-1488)\/96).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206318600, 206318602, 206318604, 206318606, 206318608?\nAnswer: 206318610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 4619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 31 - 7 = 0. Suppose -5*h + m = -2. Let z = 1 - -3. Solve 3*v = 4*n - 4, -h*n + z*n - 4*v + 8 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-788)\/(-18) + (-30)\/(-135)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0335921788 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, p: 1, f: 1, q: 1, n: 1}. Give prob of picking 1 f, 1 t, and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -536666.4 to the nearest 10000.\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + b - 3. Let w(h) = h**3 + 17*h**2 - 2*h - 285. Let s be w(-16). What is r(s)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/14)\/(1\/(-4)). Suppose 0 = -34*x + 18*x. Let q be (-3 - x)\/((-15 - -8)\/7). Which is the second biggest value? (a) q (b) 3\/20 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2246*v**3. Let t be w(-1). Which is smaller: t or 2248?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 9?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ao when two letters picked without replacement from {w: 1, s: 4, a: 6, o: 1, u: 6}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 - 6*d. Let a be l(4). Find the common denominator of (-7 - -8) + (-218)\/(-12) and (-13)\/3*a\/(-176).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -146392*c + 10247447. What is j(70)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j*s**4 - 221*j*s - 156*j + 18353*s**5 wrt s.\nAnswer: 24*j*s**2 + 367060*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3044, 9502, 19392, 32720, 49492, 69714, 93392?\n\"Answer: o**3 + 1710*o**2 + 1321*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5 = u, 3*l - u = -0 + 10. Suppose l*t = -0 + 35. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2891 rounded to two dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/8*1*-10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1402692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 212233 - -11?\nAnswer: 212244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 + 51 = -124*s + 331 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n**2 - 77*n**2 + 59*n**2 - 1 + 2*n**4 + 14*n**2 - 2*n as g*n**3 + w*n + b + a*n**2 + p*n**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1001931048.\nAnswer: 2, 3, 13915709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 492 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 - 73. Suppose -28 = -d*z + 5*r, -3*z + 3*r = -0*z - 51. What is the remainder when 88 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/(-30) + 1428\/(-306) and 0 - (1 + 14\/(-59)).\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26716 to the power of 1\/2, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3643727?\nAnswer: 281, 12967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -776*k**2 - 292*k + 276*k**2 + 283*k**2 + 326*k**2.\nAnswer: 109*k**2 - 292*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -14, 3, 56, 157, 318?\nAnswer: 551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3613 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14729663831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4499621 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -17 - 14) + (8 - 24).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, a: 1, r: 1}. What is prob of picking 1 s and 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4524 - -48352. List the prime factors of m.\nAnswer: 2, 10957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + -1 - sqrt(162))*-1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 + 50. Suppose -3*a - 1 = -v, d*v + 0*v - 5*a = 11. Solve 3*q = -j - 14, q = -v*q - 5*j - 30 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/2 + 99\/18. Suppose -x = -c*x. Solve 0*k - 3*k - 3 = x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 376 - 55 = -g, 0 = i + 2*g - 73. What is the remainder when i is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**3\/4 + 1188*u**2 + 76305*u\/4 - 20264 = 0.\nAnswer: -17, 1, 4768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and 4?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85.1 - 96.1. Let k = 5.3 - 5.6. Suppose -g + 1 = -1. What is the biggest value in g, f, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 10*w**2 - 9*w + 2. Suppose -45 = h + 4*h. Let u be a(h). Suppose k + 23 = u*k. Is k 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 -610, -1695, -4650, -10411, -19914, -34095, -53890, -80235?\nAnswer: -114066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18077 is divided by 4348?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1217877821?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-6*(-2 + 2 + sqrt(68)*1) + (-3 + 1*sqrt(68) - 2*(-1 + sqrt(68))) + 1)**2*5.\nAnswer: 16665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 304310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1737*c**2 + 225812*c + 263. What is o(-130)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07 + -0.01. Let w = v + 0.147. What is w rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-7)*14\/12*4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 672623 by -53.\nAnswer: -12691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (1 - 0)*5. Is 15 a factor of (90\/(-8))\/(f\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-114)\/(-30) + (-5)\/(-25). List the prime factors of (-1539)\/a*31\/(1116\/(-96)).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-137 - -74) + 105 - (-21 + 12)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*m = 45*m - 15*s + 19*s + 9, -45 = -5*m - 5*s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -4394*s**2 + 4007*s + 4671. Find the first derivative of r(x) wrt x.\nAnswer: -8788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -60. Let o = -39.0115 - x. What is o rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7730172?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 824\/97 (b) -2\/13 (c) -3 (d) -2\/3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 divided by 75.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is aef + -11?\nAnswer: ade","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1101000?\nAnswer: -1100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {j: 1, r: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -23. Calculate the lowest common multiple of r and 10\/(-3)*6\/(-2).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1137)\/(-240) - (73 + -70) - (-3)\/15 and -85\/282?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0*m - 32 = -4*l, 0 = m - l + 2. Let v = m - -5. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 5:06 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -6*f - 94. Let c be i(-15). Suppose -5*j + 3*p = -21, 0*j = -3*j - 5*p - 1. Let q(l) = 4*l. Let y(w) = 4*w. Give c*y(o) + j*q(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 6:03 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -220 - -246. Which is smaller: y or 29?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*41.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.11 - 2.36. Let q = h - -1.25. Which is the nearest to -0.1? (a) -0.5 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 2*f + 2. Let n be p(2). Suppose g - n = -0*g. Let s be (-1064)\/g*(-15)\/2. What is s rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18545 - 18545 - 87*p)*(3*p - 4*p + 0*p)*(0 + 2 - 1)*(-6 - 1 + 4).\nAnswer: -261*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -2946 and 0.3.\nAnswer: -2945.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6762026946 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.2 * -0.52.\nAnswer: -2.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.33 - -0.32. Let t = q + 0.092. Round t to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/16)\/(1\/(-4)). Suppose -5*u = 2*i - 79, i - 2*i = -d*u + 71. Solve -3*c = 5*x + u, 2*c - 5*c = 2*x + 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2413, -2261, -2121, -1999, -1901, -1833, -1801?\n\"Answer: -a**3 + 159*a - 2571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/12)\/(176\/(-96))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177083 to the power of 1\/2, to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/223 and 37\/2.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + p - 10. Suppose 0*w - p = -5*w. Suppose -23 = -w*r - 5. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364337431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 5*a + 18*a)*(2*a + 3*a - 7*a).\nAnswer: -52*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4 - (-1)\/2. Let z be (1 - 1 - 6)*-4. Let l = k + z. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 12*m**2 - 2*m - 23. Let f be h(-12). Suppose -9 = 4*x - x. Put f, 5, x in decreasing order.\nAnswer: 5, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a - 4. Let p(h) = -h + 1. Let j(v) = -p(v) + u(v). Suppose 2*d - 18 = 2*o, 3*d - 5 = 5*o + 8*d. What is j(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-75)\/(-3) - -2)\/1. Let k = s + -15. Suppose -k = d + 2*d. Sort d, -3, 0.\nAnswer: d, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 741.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5886287555.\nAnswer: 5, 983, 1197617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 16) to base 8.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 11*i**5\/60 - 7*i**4\/3 + 19*i**2 + 4*i. Find the second derivative of s(l) wrt l.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -4 + 5\/2*g**2 + 1\/4*g**4 - 2*g**3 - 5*g. Determine n(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 1001011101001111111?\nAnswer: -1001011101001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2055?\nAnswer: 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 37*p**2 - 16*p - 52. Let k(t) = -6*t**2 + t - 4. Calculate -i(w) - 6*k(w).\nAnswer: -w**2 + 10*w + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 + 5.05. Let s = o + -5.1. Which is the second smallest value? (a) 2 (b) s (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c + -54a81?\nAnswer: -54a72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3145 = 30195*y - 30232*y for y.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 564 - 213 = -5*l, -606 = -4*l - 2*r. Suppose -74*c = -23*c - l. Let 138*q - 18 - 49\/2*q**4 - 613\/2*q**2 + 161*q**c = 0. Calculate q.\nAnswer: 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 15*h + 45. Let a be t(10). What is the closest to 0.1 in 4, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hohooohohohmhh. What is prob of sequence om?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 701840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -322465958 and 555.\nAnswer: -322465403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*i**2 + 52*i**2 - 168*i**2 - 312*i**2 - 381*i**2.\nAnswer: -674*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**3 - 8*m**3 - m**3 + m**3 - 7*m**3.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**2\/3 - 37306*q\/3 + 49736 = 0.\nAnswer: 4, 37302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 22*j - 47*j + 33 - 88 + 33*j. Let n be g(7). Solve 0 = -2*l + n + 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.02*699.\nAnswer: 712.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*f - 56, 2*f + f + 90 = 3*z. Suppose d = -2*g + 21, -5*g + 3*d + 37 = -z. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 25 = -4*d, 5*d = -5*u - 15. Suppose 10 = h + 4*h. Suppose 0*q - h*q = -8. Solve -2*n - u = q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**3\/8 - 42*t**2 + 2025*t\/8 + 4725\/2 = 0 for t.\nAnswer: -5, 12, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)\/(sqrt(768) - (sqrt(768) + (sqrt(768)*2 - sqrt(768)))))\/(-3*-2*sqrt(12)*-6).\nAnswer: sqrt(5)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 125 - 125.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190272, 380627, 570994, 761379, 951788, 1142227?\nAnswer: 1332702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 335\/(-134)*(-2)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -765*i - 4694 = -869 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {g: 2, i: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4675058 - 2671658. What is z rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i + i**3 + 1 + i - 6*i**2 + 7*i. Calculate h(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 times 1791\nAnswer: 100296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106332 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -17. Let g(x) = -x**2 - 12*x - 17. Let p be g(r). Solve 0 = -p*j + 3 - 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)*f\/(f\/(((f**(19\/5)*f)\/f)\/f))*f)\/(f**18\/(f*f**27*f*f)) assuming f is positive.\nAnswer: f**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13712048 divided by -122429?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16209739 and 104?\nAnswer: 129677912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 4*x + 868 = 873, -11*y - 2*x + 13 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 13 = -4*d + 7, -5*d + 3*x + 19 = 0. Factor 9*f + 27*f**2 - 15*f**d + 6 - 9*f**2.\nAnswer: 3*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.6435178nm?\nAnswer: 0.0006435178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 4. Calculate f(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**7\/231 + j**5\/110 - 1985*j. Factor c(k).\nAnswer: -2*k**3*(k - 1)*(k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - q = 4*j - 52, -252*q + 11 = -257*q - j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1598005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3653\/3 greater than 1219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - (0 - 4))*1. Suppose -2*b + 7*b - 15 = 0. Let d be -3*((-2)\/b - 1). Solve -d*c - 2*s + 5 + 0 = 0, -2*c - 19 = h*s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 516166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 401.8825 + -402. Round b to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 9, -106, 0.2, -6\/7, 14\/9?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from tljlllbjjllb?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -104 + 159. Calculate the remainder when n is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -f + 5*u - 27, -3*f + 5*u - 6 = 0. Suppose 12 = f*t + t. Calculate the highest common factor of t and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 667605 - -490784. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5*sqrt(68)*-2 + -2 - (0 + ((sqrt(68) + sqrt(68)*-2)*-2 - (sqrt(68) - ((sqrt(68) + 2)*2 - sqrt(68))))))**2.\nAnswer: 48*sqrt(17) + 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4ed - 1?\nAnswer: 4ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37.6 - 15. Let h = -53 - n. What is the third biggest value in 0.1, h, -0.5, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5724 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/13 - 6408016*h\/13 + 5132833632032\/13.\nAnswer: 2*(h - 1602004)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 4*o + 4*o + (-5*o + 3*o + 4*o)*(o + 3*o - 5*o) + 3*o**2 + 4*o**2 - 6*o**2 - o**2 - 4*o**2 - o**2 + 31*o**2 - 48 + 48 - 5*o**2 + 3 - 3.\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 8:04 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 8*r**2 + 5*r. Let n be z(8). Let t = n - 24. Suppose 5*a - v - 3 = 8, 0 = -4*v + t. Solve 8 = a*s - 2*l, 3*s - 4*l - 7 = -3*l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -296064 divided by 3084\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 7:35 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 21. Calculate the least common multiple of r(-11) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 12. Let a = 18 - f. Sort a, 4, 0 in increasing order.\nAnswer: 0, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 10:47 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2, 4*n + 13814 = 8*n + 5*c. Let m be (21\/(-9))\/(-1)*-771. Let z = n + m. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*t - 8 = 0. Let z be 2 + 2*(-3)\/6. Suppose -5*b + 2*m = -13, 0 = 5*m - t - z. Solve -2*l - 4*q - 16 = b*l, -16 = 2*l + 4*q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114327272639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427251 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 33 = -3*j. Suppose 5*r - 175 - 5 = -5*a, 0 = a + 5*r - 32. Let u = a - j. Solve -u = x + 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 1062.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -24*k + 25*k. Suppose 222 = k*q - 26*q. Let x = 2 - 1.9. Which is smaller: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -579 (base 16) to base 2.\nAnswer: -10101111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 175*c**2 + 5 + 2 - 27*c.\nAnswer: -175*c**2 - 27*c + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**4\/4 - v**3\/3 - v**2 + 42. Find the second derivative of d(s) wrt s.\nAnswer: 6*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -508?\nAnswer: -508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = 66 - 234. What is the remainder when 105 is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*2 + sqrt(190))*2 + 6*(sqrt(190) + -2*sqrt(190) + sqrt(190)))\/(6*-1*(sqrt(10) + sqrt(10)*-1 + sqrt(10))).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -15, 1653.\nAnswer: -15, -5, 1, 1653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/(1 + 1 + 4 + -4). Let u(l) = -h + 6 + l + 6. Let a(z) = z - 3. What is 5*a(s) - 8*u(s)?\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 18*s - 31. Let w be h(-14). Let q = -20 + w. Find the second derivative of 6*p**q - 2*p + 4*p + 4*p wrt p.\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 81045455?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*-3*4\/(-6). Suppose 3*w + 2*q = 18, 0*q + x*q = w - 6. Let p = w - -12. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -10. Let a = -2720 + 2722. What is the closest to 0 in v, -1\/5, a?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2*b + 0*b)*(b**2 - b**3 - 5*b**2 - b**2)*((-4 + 5 - 2)*(-4 + 2 + 1) - 6 + 10 + 8).\nAnswer: 13*b**4 + 65*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37474, -37470, -37464, -37456, -37446, -37434?\nAnswer: -37420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.2. Are 1\/6 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 1572*q - 3106. Calculate s(2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 2:06 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50141335 + -4?\nAnswer: 50141331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5760?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -2\/7 (c) -1 (d) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*r - 1. Suppose -r*k - k + 14 = 0. Solve 5*p = a - 9, -4*p - p - k*a = 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375140 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 2*v**2 + 2*v + 9. What is the least common multiple of 5 and d(0)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -359923 times 6?\nAnswer: -2159538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/612 and 15\/1012.\nAnswer: 154836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/270 and -7\/155430?\nAnswer: 466290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7065408 + 16?\nAnswer: 7065421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119386 is divided by 737.\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/3 - 0 - (-1 - -2). Suppose 0 = z - o*z. Let p(d) = -d**2 - 2*d + 65. Does 13 divide p(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 430 - (-9 - 6\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86 - -53. Let z = 33 + g. Let p(f) = -2*f + 41. What is the tens digit of p(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/2)\/(-3) - (-3895927)\/14. Let h = k + -400580. What is h rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.55 times -331481\nAnswer: 182314.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 271?\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + m = 15. Suppose -4*w - 7*h - 8 = -2*h, 4*h = -2*w - 4. Let v be 2\/w*10\/2. Put v, 0, m in descending order.\nAnswer: m, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17036210 rounded to the nearest one hundred thousand?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2239 + 4456 - 1703)*(-9 + 2*f + 9).\nAnswer: 1028*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 1.394 in increasing order.\nAnswer: -5, 0, 1.394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 + 0*y**2 + 2*y**2 - 4*y + y**3. Let p be g(-5). Let x be (-3 - -9)\/((-2)\/p). Solve 5*k + 0*k = x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -20*v**2 - 6*v - 2. Let r(l) = -18*l**2 - 7*l - 2. Determine 6*r(u) - 7*x(u).\nAnswer: 32*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6214866.\nAnswer: 2, 3, 7, 21139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2. Suppose 10 = -3*k + 5*l - 0, 5*k - 5*l = -10. Let g(r) be the second derivative of 1\/4*r**4 + 0 + 0*r**2 + k*r**3 - r. Give i(g(z)).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 2*x = -2 - 4, -2*x + 6 = -3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**2 - 398*g**3 - 2 - 2*g**2 + 407*g**3 in the form j*g**3 + s*g + t*g**2 + l and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 8:47 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87298131.\nAnswer: 3, 29099377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -4190?\nAnswer: 13\/4190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -6 (b) -1\/5 (c) 4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102a9 (base 12) to base 9.\nAnswer: 32013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -87545.\nAnswer: -4\/87545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjxfjfejfxjj. What is prob of picking 2 x and 2 f?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*o**3 + 98*o**3 - 3210*o + 3210*o.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*v = 1198 - 398 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19a (base 11) in base 2?\nAnswer: -11100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386 bigger than 926?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 42*m + 1489. Calculate g(23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/13)*t*t**15\/t*t*((t*t**(1\/48)*t*t)\/t)**(-8\/7))**(-2\/41) assuming t is positive.\nAnswer: t**(-7349\/11193)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00860237 to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b**3 - 2*b + 4*b - 5*b.\nAnswer: -15*b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*x - 2816 = 33*x. What is the highest common factor of 638 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5713, -11417, -17151, -22927, -28757, -34653?\nAnswer: -40627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -21*t**2 + 11*t - 6. Let z(c) = -4*c**2 + 2*c - 1. Let y(g) = -2*h(g) + 11*z(g). What is the first derivative of y(s) wrt s?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1149131 smaller than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(75)*-2 + (sqrt(75) - (2 + sqrt(75)*1)))**2*5.\nAnswer: -18060 + 1200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -1702*k**5\/5 - 17*k**4\/3 - 13*k**2 - 2026*k. What is the third derivative of t(n) wrt n?\nAnswer: -40848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/7 and 89\/52.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 2*z - 15.\nAnswer: (z - 5)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7*b**2 - 4*b + 4. Let i(q) = -8*q**2 + 5*q - 5. Let j(x) = -3*x + 40. Let v be j(12). Suppose 7*h - 44 = -v*h. Determine h*i(m) + 5*o(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13440 by -128.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 12 = -5*o, -59*u = -63*u - 4*o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 11*f**2 + f + 14. Let a be n(10). Let q = 71 + a. Let c(s) = s**2 + 3*s - 4. What is c(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/22 and -5 - 4\/(-10)*15865\/1672?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 1719 = -z - 3*z, -1359 = -4*l - 5*z. What is the remainder when 1395 is divided by l?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5449856\/83 <= -65660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(1\/3) + -2. Let g be 2\/(-44) - v\/2. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 3*t - 3. Let h(k) = 2*k**2 + 6*k + 6. Let r(b) = 12*b**2 + 2*b + 1. Let d be r(-1). Let n(v) = d*s(v) + 6*h(v). Give n(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.781415m to micrometers.\nAnswer: 5781415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1 (b) 1\/9 (c) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 216 (base 11) to base 5.\nAnswer: 2014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.92394 + -24?\nAnswer: -20.07606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -29203 (b) -3\/2 (c) -11\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -2\/3, 758, 27 in increasing order.\nAnswer: -2\/3, 0.4, 27, 758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**2 - 9*p**3 - 3\/10*p**5 + 3 - 9\/4*p**4 + 0*p - 1\/60*p**6. Let k(w) be the second derivative of n(w). Factor k(l).\nAnswer: -2*(l + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 12, y: 6}. Give prob of picking 2 y and 2 w.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3151, 3118, 3085, 3052?\n\"Answer: -33*f + 3184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10200301102 (base 4) to base 13\nAnswer: 3254aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -16*g - 4*g. What is the biggest value in -1\/528, g, -0.4?\nAnswer: -1\/528","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 240 = -16*z. Let b(o) be the first derivative of o**4\/4 - 14*o**3\/3 - 7*o**2 - 17*o + 7. Let s be b(15). Put 5, z, s in increasing order.\nAnswer: s, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3241, -165, 284.\nAnswer: -3241, -165, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 7*f**2 - 13*f - 20. Let t be j(-8). Suppose 5*a = -o + t, a + 9 = 4*a. Solve -4*s = o*w - w - 20, 5 = 4*w + s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/11, 97, -4, -2 in descending order.\nAnswer: 97, 1\/11, -0.2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 417*f - 1. Let b be y(2). Suppose 3*x + x + 3*k - 2266 = 0, 0 = -2*x + 4*k + 1144. Let d = b - x. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 3. Let v be g(6). Let z(k) = k**2 - 6*k + 10. Let p be z(4). Suppose -v*n + 60 = p*n. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 125*n**3 + n**2 + 3. Is v(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124, -122, -120?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1015305562 and 995.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**2*u*z**3 - 5*i**2*u*z**2 - 2*i**2*u - 2*i**2*z**2 + 40*i*u*z**3 wrt z?\nAnswer: 6*i**2*u + 240*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 3094\nAnswer: 5\/3094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280*h - 13 + 1 = -286*h. Factor -18 - 1\/2*p**h - 6*p.\nAnswer: -(p + 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -p + 6*p. Let j(f) be the second derivative of f**4\/6 - f**3\/3 + f**2\/2 - 28*f. Let t be j(p). Sort -2, t, -5 in decreasing order.\nAnswer: t, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 98*k**2 - 4*k**3 - 98*k**2 + 7*k**3 as t*k**3 + y*k**2 + l*k + c and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1844382663 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -1. Let i(d) = 3*d - 7. Let a be i(2). Let x(c) = -c + 3. Calculate a*x(n) - 4*t(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(245) + 0 + sqrt(245) + sqrt(245) + sqrt(245)*-1 + sqrt(245)*1 + 2)**2.\nAnswer: 84*sqrt(5) + 2211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.090121 * 1.328\nAnswer: 0.119680688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 58 = t. Let l be (1 + 2\/(-8))\/(38\/(-304)). Let z = t - l. Calculate the highest common divisor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93 - 92.7. What is the nearest to 1\/10 in f, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3568 - -3566. What is the closest to -1\/11 in 0.2, -1\/5, 1, l?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**3 + 35*u**2 - 23*u + 17. Let c be j(11). Solve 7*a + 1 = c*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-3)\/(-36) + -1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*h = -214*h + 57. Suppose 2*y + 24*b - 1200 = h*b, -4*y - 2*b + 2400 = 0. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-36) - (-7)\/(-60)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/4)\/z)**(-31)*z\/(z*z**(-2\/21))*z**(-3\/10))**(-5\/8) assuming z is positive.\nAnswer: z**(-22699\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1720 or 2\/3?\nAnswer: 1720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 58224, 232555, 522994, 929541?\n\"Answer: 58054*v**2 + 169*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 12*k = 332. Let c = 85 + k. Solve -3*d + 5*y = 2*d - 20, -5*d - c*y = 15 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5721 - 5725.43. Which is the closest to k? (a) 4\/5 (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**2 - 5*m**2 - 613*m**3 + 162*m**3 + 753*m - 33*m**3 + 4*m**2 wrt m.\nAnswer: -2904*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8522004?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oypodioido. Give prob of sequence yd.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from iusui?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**4*l**2 + 12*g**3*l**2 - 6*g*l**2 - 22*l**2 wrt g?\nAnswer: 12*g**2*l**2 + 72*g*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1576778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*d = -3*p + 666, -d + 3*p - 4*p + 5 = -d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = j + 5, -3*j + w = -3*w + 67. Let k = -3 - j. What is the least common multiple of k and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2476411847 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h**3 - 46*h**2 + 46*h**2 + (103 + 2*h**2 - 103)*(3*h + h - 3*h))*(h**2 + 3*h**2 - 3*h**2).\nAnswer: -6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5975 or 5890?\nAnswer: 5975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -17 - 3*a + 8*a + 3*a. Let w(v) = v - 2. Determine -6*l(s) + 51*w(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -828 + 1298. Let n = 469.9999919 - b. Round n to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - ((sqrt(19) - sqrt(304))**2 + sqrt(19) + -2)) + sqrt(684) + ((sqrt(684) + 1)**2 - sqrt(684) - sqrt(684)).\nAnswer: 6*sqrt(19) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*p + 4 = 54*p. What is the third biggest value in 4\/9, p, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**4 - 4*g**3 + 39*g**3 - 20*g**3 + 16 - 16*g**3 - 2*g + 21*g**2 to the form d + x*g + m*g**3 + c*g**4 + s*g**2 and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.8 - -1. Let d = 20 - 20.8. Let o = d + q. Which is the closest to 11\/2? (a) 5 (b) 0 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 45, 95, 169, 273, 413, 595, 825?\n\"Answer: m**3 + 6*m**2 + 25*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/3 - 362*b**3 + 377113*b**2\/3 - 14889784*b + 1691841424\/3.\nAnswer: (b - 452)**2*(b - 91)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 j when four letters picked without replacement from {j: 4, y: 1, t: 2, k: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/5 - 2151*s - 6465732\/5.\nAnswer: -3*(s + 764)*(s + 2821)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 379.4024 micrometers in meters?\nAnswer: 0.0003794024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**7\/1960 - l**5\/70 + l**3\/6 + 11*l. Let v(c) be the second derivative of q(c). Factor v(r).\nAnswer: 3*r*(r - 2)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -93, -210, -391, -648, -993?\nAnswer: -1438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 34*l**2 - 58*l + 506. What is v(32)?\nAnswer: 698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + z**2 + z. Let v be -7 + 5 - 30\/(4 - 10). Let o(p) = 5*p**3 + 5*p**2 + 3*p + 5. Give v*b(t) - o(t).\nAnswer: -2*t**3 - 2*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-330)\/(-4488)*34)\/(1 + (4 - (-1995)\/(-396)))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -11*y - 2*y. Let d(s) = s**3 - 4*s - 10 + 4*s**2 + 0*s**2 + 0*s**3. List the prime factors of d(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4428 + -4405. What is the highest common divisor of w and 13662?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 59229376?\nAnswer: -59229379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 33*t + 0*t)*(0*t + 2*t**2 + t - 8*t).\nAnswer: 62*t**3 - 217*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - n - 1. Let j(p) be the third derivative of p**5\/10 + p**4\/6 + 2*p**3\/3 - 7*p**2. Let l(d) = 2*j(d) + 11*z(d). Let y = 2 + 1. Calculate l(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -3.5. Let o be 0 - (11\/(-5) + 2). What is the second biggest value in c, o, 1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 2*q - 4. Let p be j(3). Let u = p - -2. Let k(l) = -l**2 - 5*l - 5. Calculate k(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1303*h = 2609*h - 1307*h - 4*a + 2, -4*h - 2*a = -0*h - 22 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmcmxmjmjjjmmmur. What is prob of sequence uc?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 547.0455 minutes?\nAnswer: 32822730000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/1 - (1 + 0). Sort -1, y, 0 in decreasing order.\nAnswer: 0, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*c + 215*c = -142*c + 49949. What is the remainder when 1214 is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -24, -74, -166, -312, -524?\nAnswer: -814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -8 and 8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -4) + (-11 + 2 - -5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 70*x + 1113 = -71*x, 0 = -7*m + 3*x + 1954. Solve -249 = -7*w - m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**5 - 135500*t**4 + 542060*t**3 - 542080*t**2.\nAnswer: -5*t**2*(t - 2)**2*(t + 27104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3088 - -3088. Factor 3\/4*m**2 + j*m - 3\/4.\nAnswer: 3*(m - 1)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**4\/3 - 27610*j**3\/3 + 304165*j**2\/3 - 276650*j = 0. Calculate j.\nAnswer: -5533, 0, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and -5766843?\nAnswer: -63435273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8597 + 8596.6. Which is the nearest to -4? (a) 0.2 (b) w (c) 66 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -56*m**3 - 2*m**2 + 33*m - 2. Let f(o) = 111*o**3 + 5*o**2 - 66*o + 5. Let c(z) = 4*f(z) + 10*r(z). What is the second derivative of c(g) wrt g?\nAnswer: -696*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 104 = 5*j + 21, 5*i = 2*j + 50. Let w(z) = z + 28. Let a be w(j). Solve 6*c - 9 = a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m + 16. Let u be z(-2). Put -15, u, -4, 4 in ascending order.\nAnswer: -15, -4, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*(-4 + sqrt(252))*3)**2*-5.\nAnswer: -771840 + 138240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25, 154, 59, -254, -779, -1510, -2441, -3566?\n\"Answer: j**3 - 118*j**2 + 476*j - 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-3 - -10 - 8) + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/(-12) - 0)*8. Let o(n) = -n**2 - 6*n + 3. Let r be o(x). Suppose b - 20 = 5*b, r*b = f - 25. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/k**(-10)*k**10*k)\/(k*k\/k**(2\/7)*k)**(11\/7))**47 assuming k is positive.\nAnswer: k**(45449\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 6. Let q(m) = 16*m - 61. Let j be q(4). Determine c(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 99861061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -2*c + 4, 18 = 4*a - 12*c + 11*c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -3, -1\/5, 3\/5, -0.0385?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 5*o = -41, -4*s - 176336 + 176274 = -5*o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1083 and 846.\nAnswer: 305406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 - -38. Let x = 4 + j. Which is the smallest value? (a) x (b) -7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -282*c. Let q(p) = 4104*p. What is q(w(o))?\nAnswer: -1157328*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16 or 533?\nAnswer: 533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.06 (b) -5 (c) -7 (d) -0.19 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -214\/3 - -71. What is the third smallest value in a, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 62? (a) 42 (b) -18 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 494*i + 45 = 489*i, 2*v = 3*i + 39 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a**3 - 12*a**2 + 6*a + 982. Let z(d) = 6*d**3 + 14*d**2 - 7*d - 978. Give -7*o(i) - 6*z(i).\nAnswer: -i**3 - 1006","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, y: 2, x: 2, v: 1, i: 2, u: 4}. Give prob of picking 1 c, 1 y, and 1 v.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41.9 + -40.9. Is -2 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248*a + 42*a - 58 + 429*a.\nAnswer: 719*a - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 111824 and 1218.\nAnswer: 2348304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294507222.\nAnswer: 2, 3, 49084537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 8*v. Suppose 5*i + 0*k = -3*k + 178, -4*k = i - 39. Suppose 5*c - 185 = i. What is the remainder when c is divided by z(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.23095493 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6*m**2 - 3*m + 2. Let s(u) be the first derivative of u**3 - u - 4. Let l be s(-1). What is the remainder when r(l) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2538614593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 + 0. Let n = u + -0.9. Which is bigger: n or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.7 + -11.7. Let s = p - -8. Sort 0.2, s, 2\/19, 2 in ascending order.\nAnswer: 2\/19, 0.2, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 708598 is divided by 229.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 34\/289 + 0\/((-3)\/3 - 0). What is the second smallest value in 0.2, -13.42, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*v**2 + 174*v - 42*v**5 - 17*v**5 + 179*v**5 + 42*v**5 + 5*v**4 + 147*v wrt v.\nAnswer: 3240*v**3 + 60*v**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -195820*b**2*v - 79901*b*v - 2*b wrt b?\nAnswer: -391640*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 1003 = 4*u, -u - 4*f - 5 = -261. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3896 - 2155. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28202014*-0.3.\nAnswer: -8460604.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(2\/4*-5 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 2. Let v be (-3 + 176\/38)\/7. Let y = 1\/19 + v. What is the third smallest value in y, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9973495 divided by -5.\nAnswer: -1994699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/20 - (-15)\/(-20)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*d**2*u**2 + d**2*u + 21*d**2 + 5*u**2 - 28 wrt u?\nAnswer: 8*d**2*u + d**2 + 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.3647267 rounded to 2 dps?\nAnswer: 5.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 5463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -5848\/681?\nAnswer: -5848\/681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2096530?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**4\/3 + 5*d**3\/2 - 23*d - 13. Let u(t) be the first derivative of s(t). What is the second derivative of u(l) wrt l?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 15*y - 32 - 4. Let p(l) = l**3 - l**2 - l + 1. Let t(f) = 8*f**3 - 4*f**2 - 7*f + 6. Give y*p(j) - t(j).\nAnswer: -2*j**3 - 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39921299 and 14516836?\nAnswer: 159685196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81*a**4 - 133834500*a**3 - 55282927691998*a**2 + 12285099999500*a - 682505647321.\nAnswer: -(a + 826139)**2*(9*a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0681907035 to three dps.\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-29)\/(-145) + (-81)\/5. Which is the nearest to 9? (a) h (b) -2\/5 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075407 to the power of 1\/2, to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (32\/184)\/((-25578)\/(-210105))\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f + 4*f - 78 - 279 = 2*z - 56, 4*z + 8 = 0 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 2*h + 22 = 0, 251*h - 11 = 2*m + 252*h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 13*q**2 + 21*q - 13. Let b be (-59)\/4 + (-3)\/12. Calculate the remainder when a(b) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105821243 to the nearest integer?\nAnswer: 10287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u*(u**8\/u*u)\/u)\/u*u)\/u)\/u)\/(u**(-1\/4)\/u))\/(u**2\/(u\/(u**(-2\/7)*u))) assuming u is positive.\nAnswer: u**(155\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 11*c - 1. Let m(d) = 6*d - 1. Let q(r) = 10*r - 65. Let z be q(7). Calculate z*m(w) - 3*l(w).\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(90))\/(sqrt(5) - sqrt(640)\/sqrt(8)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33980000 rounded to the nearest one million?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 4*y**2 + 3. Let h be w(-4). Suppose 22 = h*n - n. Let f be (28\/(-16))\/(1\/(-4)). Solve 2*g + 3*r = -f, -2*g - 2*g = 5*r + n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.04 + -93.04. Let z = m - -91.7. What is the nearest to 1\/6 in -5, z, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 261*i - 27*i + 1669*i in the form v*i + y and give v.\nAnswer: 1903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*x - 70*x - 71*x - 69*x - 69*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 15*x + 21. What are the prime factors of a(16)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/13 (b) -1\/2 (c) 0.97 (d) 4\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369*f**2 - 2*f + 2*f - 1352*f**2 - 2573*f**2.\nAnswer: -3556*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.1, 59, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (12\/45*3)\/(-24*(-12)\/(-720))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220*l + 558*l**3 - 146*l - 74*l.\nAnswer: 558*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 149.9 + -149.019. Round a to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -125.6 + 129. Let h = -3.2 + k. Let o = -2 - -3. Sort o, -2\/15, h in ascending order.\nAnswer: -2\/15, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, h: 9}. What is prob of sequence hhn?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10120340 (base 6) to base 13.\nAnswer: a2273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.12 - -9. Let o = n + 0.02. Let x = 2 - 7\/3. Which is smaller: o or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 16*a**2 + 15*a + 4. Let h be f(15). Suppose -h = k - 3*k. What is the third derivative of -14*w**2 + 28*w**k + 8*w**3 - 2*w**3 wrt w?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*o - 33*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101112 + 202010121?\nAnswer: 201202002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/108*12\/(-16)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 772.6623 rounded to the nearest ten?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-30)*(-32)\/(-40)*-1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-35))\/((-315)\/2520).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1 + sqrt(304)*-1)*-6)**2 - ((sqrt(2736) - (-1*sqrt(2736) + 4 - sqrt(2736)))*6*1)**2.\nAnswer: -876087 + 10224*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*z**2 + 8\/15*z**3 + 2\/15*z**4 + 2\/15 + 8\/15*z.\nAnswer: 2*(z + 1)**4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(3\/5)\/w*(w\/(w**(-18)*w))\/w*(w\/w**(-3\/5))**(-4) assuming w is positive.\nAnswer: w**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-2))\/2)\/((-4)\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 u, 1 i, and 1 c when four letters picked without replacement from {c: 1, i: 1, r: 2, u: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 - 2 - 1 - 7 - 8 + (4 - 2 + 1)*(1 + 1 + 0))*(16 + 11*f**2 - 16) to the form k*f**2 + i*f + m and give k.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 7911711 = -2562495. Let d = k - -361348. What is d rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-12)*2\/8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3151 + -3148. Which is the third biggest value? (a) -1\/22 (b) -2\/5 (c) -0.1 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 978*z - 975*z + x = -21, 21 = -3*z + 39*x for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.61 + 0.21. Let k = -1.35485 - 0.04552. Let w = x - k. Round w to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.065? (a) 35.2 (b) -1\/3 (c) 10 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x + 61. Let a be k(10). Suppose a = 2*i + 33. Let y be 1 + -3 - (-22 - 0). Solve -g - i*g = -y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s = 121*s - 33*s - 47 + 47 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1433346 and 16196.\nAnswer: 2866692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.8 + -0.8. Let s = -2178 + 2163. Which is the third smallest value? (a) s (b) 1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35638219919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3334703711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171 and 1159.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 - 32. Let o be ((-27)\/15)\/((-3)\/b). Suppose -5*k + 11 = 3*r - 15, 3*k = 12. Solve f + 2*l + 6 = 0, -6 = o*f + r*f + 2*l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by 384?\nAnswer: -9\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8*g**5 - 4*g**4 + 6*g**3 + 3*g**2 + 11*g - 8. Let a(d) = -d**5 + d**3 - d**2 + d. Let n(r) = 28*a(r) - 4*l(r). Factor n(y).\nAnswer: 4*(y - 1)**2*(y + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 7*f + 5. Let l be u(7). Let a(t) = t**3 - 5*t**2 + t + 6. Does 11 divide a(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*g = -132, 0*g = 2*s + 4*g - 64. Suppose -2*n + s = -0*n. Let t(y) = 121666*y + 8. Let h be t(n). Round h to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 24.26245 litres?\nAnswer: 24262.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 814 = -17*v + 1052. Calculate the highest common divisor of 1169 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.2 (b) 2\/3 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20100 (base 6) in base 10?\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -645872*x**2 - 3544048*x wrt x.\nAnswer: -1291744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**3 + w**2 - 4*w. Give u(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90*k + k**4 - 54*k + 13*k**4 wrt k?\nAnswer: 168*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z**5\/7 + 132*z**4\/7 + 198*z**3\/7 + 120*z**2\/7 + 24*z\/7 = 0.\nAnswer: -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/6 + 2\/(-3). Suppose -4*i = -3*f + 31, 4*f = 5 + 15. Let o be (-3)\/45 - i\/6. Put k, 0.2, o in descending order.\nAnswer: o, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*m - 134*m + 63*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5)\/(-56) + (-8)\/(-28) - (-6764)\/(-23408) and 31\/112.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 6*p**4 - 2*p**3 - 2*p - 6. Let i(h) = h**3 - 2*h**2 - 19*h**4 + h + 2*h**2 + 20*h**4. Let s(j) = c(j) + 2*i(j). Differentiate s(u) with respect to u.\nAnswer: 32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 41345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 + (-4)\/(-1) + 104?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 6203 - 6189 = -39*w, 4*w - 6 = -2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (160 - 155) + (1 - 1). Sort v, -66\/7, 1\/4.\nAnswer: -66\/7, 1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 13362.2?\nAnswer: 13361.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 8*s + 29. Let b be v(-9). Calculate the highest common divisor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 54 + 437?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*h - 669. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/5 - 28*h\/5 - 32\/5.\nAnswer: 4*(h - 8)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 0*p. Sort p, -3, 4 in decreasing order.\nAnswer: 4, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 1)*(794 - 794 - 46*r)*(-6 + 4 + 4)*(2 + 2 + 0) as v*r + k and give v.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 - k - 1. Calculate b(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.5 - 0.5. Let f = w + -7. Sort 3\/5, 5, f in descending order.\nAnswer: 5, f, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -23089*d - 4. Let m(w) = -23*w. Give m(i(r)).\nAnswer: 531047*r + 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21958, 21950, 21942, 21934, 21926?\n\"Answer: -8*u + 21966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3 + (sqrt(132)*-2*2)\/(sqrt(972) - (sqrt(972) - (sqrt(972) - 1*sqrt(972)) - sqrt(972))) + 3))**2.\nAnswer: 176\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*h + 88, -5*h + 9 - 53 = -z. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -95*k + 98*k, p + 3*k = 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 4*y - 4. What is the remainder when 163 is divided by h(6)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*s + 8, -3*r = -2*s - 29 + 13. Let t(q) = -1 - q - q - r*q. Determine t(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-1) + 5\/(-25)*-5. Sort b, -9, 0.\nAnswer: -9, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n + 301. Let q be o(-49). Solve -10 = -q*u + 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 2. Let g = d + 11. Factor -11*w + w**g - 2*w**3 + 6*w + 5*w.\nAnswer: w**3*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1634 - 764. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -8*w**7\/21 - 2*w**6\/5 + 13*w**5\/5 + w**4\/3 - 6*w**3 + 4*w**2 - 4*w. Let x(s) = 0. What is s?\nAnswer: -2, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 364 and 49647.\nAnswer: 1390116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2 (b) 4\/7 (c) 0.038\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**4\/24 + 29*m**3\/6 - 10*m**2. Let u be i(-13). Let b be 312*(108\/u)\/9. Calculate the greatest common factor of 26 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -533*v**3 - 80*v**2 - 20*v - 26. Let l(x) = -178*x**3 - 26*x**2 - 6*x - 8. Give 10*l(s) - 3*p(s).\nAnswer: -181*s**3 - 20*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -1. Let s(v) = -11*v**2 - 4 + 2*v**c + 4. Let k(t) = -2*t**2 + t - 6. Let u(a) = 9*a**2 - 5*a + 30. Let f(y) = 5*k(y) + u(y). Determine s(f(d)).\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -128, 36, -1 in increasing order.\nAnswer: -128, -2, -1, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(sqrt(162) - sqrt(162)*-1))**2.\nAnswer: 25\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 906aa8 (base 13) in base 8?\nAnswer: 14633747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/4 of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 8 = 4*k + 4*k. Which is smaller: 1141 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -13. Suppose -m + 0*y = 4*y - q, 18 = 4*m + 2*y. Is -5\/4 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*g - 4*g + 2*g)*(-2*g + 2*g - 3*g**2) + 11*g**2 - 10*g**3 - 12*g**2 + 0*g**2 to h + u*g**3 + j*g + v*g**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) - (1 + (sqrt(1216) - -1*sqrt(1216)) + sqrt(1216)) - (-3*sqrt(1216) + -4)) + (4 + sqrt(1216)*2 + 2)*4)**2.\nAnswer: 3888*sqrt(19) + 99225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -2*m + 8, -204 + 100 = -5*m - 33*f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79624*p**3 + 1397002*p**2 wrt p?\nAnswer: 477744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 701241 divided by 3\nAnswer: 233747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 586 and 107795872.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*k - 10, -5*g = -g - 2*k + 4. Let f(t) = t**2 + t - 4. Let c be f(g). What is the tens digit of (c\/6)\/(2\/(-81))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-30)\/(-6))\/(330\/132).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 0, 2, 3, -2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6230 is divided by 95.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408 is divided by 124.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -2*q + 3*z + 150, -260 = -4*q - 4*z. What is the remainder when 191 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1708251635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9}. What is prob of sequence ww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = -3*d + 18*o - 48*o, 6*d - 2 = -2*o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 863 divided by 2.\nAnswer: 863\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 80, 85, 96, 113, 136, 165, 200?\n\"Answer: 3*w**2 - 4*w + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 + 3*n**3 - n + 3079 + 1617 + 4*n**3.\nAnswer: 5*n**3 - n + 4696","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669 a factor of 232784842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/6 - (-6)\/9. Let k be (0\/3*1)\/2 + 5. Solve z*s = 5*j + 20, j = -4*j + s - k for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 1125?\nAnswer: 7875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 13460?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*h + 6*h - 2 + 7*h + 5*h**2 + 3*h to the form u*h**2 + q*h + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9960560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 2, 1, -2888, -14 in increasing order.\nAnswer: -2888, -14, -4, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 + 13*w + 5. Let o be z(-11). Suppose 5*t = -59 + o. Solve 7 + t = 2*b - 4*q, -3*q = 5*b + 25 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u + 5*y - 18, u - 4*y = 22. Let q be (48\/u)\/((26\/35)\/13). Round q to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71483705, 71483696, 71483687, 71483678, 71483669, 71483660?\nAnswer: 71483651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u. Let h(c) = 3*c + 3. Calculate q(h(o)).\nAnswer: -6*o - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 147 - 136. Suppose 0 = m*p - 8*p - 27. Solve j - 5*w + 11 = 0, -5*j + w + p = -8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-1 - (10 + -2)). Let z = -341 + 353. Let w be (-10)\/z - 3*2\/x. Which is the third smallest value? (a) -4 (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*sqrt(20)*-6)\/(sqrt(44)\/sqrt(176))*-2.\nAnswer: 576*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -251*a**6\/40 + 485*a**3\/3 + 2*a**2 - 328*a. What is the derivative of c(x) wrt x?\nAnswer: -2259*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 31 + 708b59?\nAnswer: 708b8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2490*n - 87850. Calculate h(-35).\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 + 157730*l\/3 - 2522912.\nAnswer: -(l - 157682)*(l - 48)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.204 - 16.804. Let n = x - 0.4. Let o = -17 - n. Put o, -4, 1 in increasing order.\nAnswer: -4, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -21 (b) 3\/13 (c) 0.0362\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/5 + 266*p**2\/5 + 264*p\/5.\nAnswer: 2*p*(p + 1)*(p + 132)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -6. Let f = p - 3. Let i = 0.4088 + 0.0912. What is the closest to 2\/9 in -0.4, f, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7786 = -11*r + 15688. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-333 + 333 - 197*x + (-3*x + 2*x + 0*x)*(-3 + 1 + 1))*(3 - 3 - 2).\nAnswer: 392*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -119 + 15. Which is smaller: -105 or x?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 37*f**2 - 37*f + 417. Let o be i(38). Solve 7*y = -448 + o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/6)*p**3*p**(-1\/17)*p*p\/p**(-14\/9) assuming p is positive.\nAnswer: p**(2039\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -21347 (b) 3 (c) 1\/4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*m**3 + 11339*m**2 + m + 11*m**3 - 11344*m**2 - m.\nAnswer: 57*m**3 - 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3579462?\nAnswer: 2, 3, 198859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 2\/17 (c) 1\/6 (d) -130\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-22 + (40 - -6)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 11. Let y = o + -10. Let k = 2 - 1.8. What is the third biggest value in y, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a litre in millilitres?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -837192.1 and 23665.\nAnswer: -813527.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*3*(-1)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503179 is divided by 2884.\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8240400 and 5166?\nAnswer: 337856400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 168880996*b*i**2 - 277*b - 219261 wrt i?\nAnswer: 337761992*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21603054 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: What is prob of sequence kkuh when four letters picked without replacement from hukuuggkgkkukki?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r - 14 - 14 = -8*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1205939056 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/5 less than or equal to 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 356 divide 196156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 6*f**2 - 2*f + 2. Let u(d) = d**2 + 6*d + 11. Let n be u(-5). Let y be k(n). Let t be -3 - 10*5\/y. Solve 0 = -t*r + 7*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -55 and 1.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37121 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 155, 323, 547, 821, 1139?\nAnswer: 1495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 698 + -707.1. Let g = -26\/3 + 55\/6. Which is the smallest value? (a) -2 (b) 0.3 (c) g (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**7\/126 - 13*o**6\/60 + 21*o**5\/40 - o**4\/72 - 7*o**3\/12 - 117*o. Determine i so that a(i) = 0.\nAnswer: -21, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002833 rounded to seven decimal places?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2303 times 169?\nAnswer: -389207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23.9 - 26.9. Which is smaller: o or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 28*m**2 - 29*m - 1. Let j be o(-29). Which is the closest to 11? (a) 1 (b) 4 (c) j (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, 4, -3, -13\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 6.00000016. What is z rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 - 1707 = 76*s + 340 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1094747\/2 or 547375?\nAnswer: 1094747\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13\/50 or -1?\nAnswer: 13\/50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*p + 2*u + 22 = -67*p, -7*p = 5*u + 43 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**2*t + 7*q**2 - 2*q + 51558*t + 536 wrt t.\nAnswer: q**2 + 51558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*t + 2*b - 15, 4*t = 4*b + 12. Let u(x) = -x - 1. Let k(f) = 5. Let m(d) = -k(d) - 4*u(d). Determine m(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1 - (17 + (8 - 24))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 1:27 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -15 - 5. Let y = -9 + 12. Calculate the remainder when v is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 154? (a) -2 (b) -4 (c) 4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 + -6)*4\/(-6). Which is greater: -3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43212969.\nAnswer: 3, 4801441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14154?\nAnswer: 2, 3, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 16) to base 8\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 41383.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -4 - 1 - 22) + 4 + 30.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -86 + 84. What is the hundreds digit of (2\/w)\/(4\/(-1560)*3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12187 = 3*a + 2*q, 5*a = 4*q + 1158 + 19183. List the prime factors of a.\nAnswer: 3, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -21\/2*w + 12*w**2 - 3\/2*w**3 + 0 = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5683 or 5461?\nAnswer: 5461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21717089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 5*i - 4, 24 = -5*i + 24 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*i + 13*i + 6*i + 68 = 0. Solve -19 = 5*x + 3*t, -3*x + 8*t = i*t + 23 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*t + 69*t = -12635. What are the prime factors of t?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/7)*(p\/((p\/p**(2\/5))\/p))\/p)\/(p**(-2)*p**(-3\/4)\/p*p) assuming p is positive.\nAnswer: p**(381\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t**(-34)\/t*t)\/t**(-12\/13))\/(t**8\/t*t*t\/t**44))**32 assuming t is positive.\nAnswer: t**(1632\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - p + 10 = 0, -5*p = -3*t + 245. Calculate the highest common divisor of t and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -8261*j**3 + 3*j**2 - 4. Let v be f(-3). Let g = v + -149280. Suppose 3*k - d + g = 4*d, 0 = -4*k + 4*d - 98392. Round k to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 3:44 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 + 1122\/(-44))*3.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2963 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 332848420 by 4.\nAnswer: 83212105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -67*1 + (3 - 2 - -1). Let k = a + 105. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/49435 and -22\/9?\nAnswer: 444915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 6. Suppose 4*z + n = -9, -3*z - 4 = -5*n + f*n. Put 3, z, -1 in ascending order.\nAnswer: z, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -353*m + 11169. List the prime factors of d(-9).\nAnswer: 2, 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648 is divided by 24.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/304, 1\/56, -2 in ascending order.\nAnswer: -2, -7\/304, 1\/56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in -2\/3, 4, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v - 1. Suppose -4*s + 2*s - 26 = 0. Let x be b(s). Let m = 145 + x. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**4\/12 - 5*p**3\/2 - 11*p**2\/2 - 2*p. What is the remainder when y(-11) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1504 and 262824.\nAnswer: 1051296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 0*x + 0*x)*(-3 + 3 + 2)*(3303*x - 7112*x + 3057*x).\nAnswer: 1504*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 81136?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10352 + -10327. Solve v = 2*h + 5, -3*v = 2*h + 42 - a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*y - 1. Let k(a) = -4*a**2 + 9*a - 15. Let i(d) = 3*d**2 - 6*d + 10. Let r(v) = 3*i(v) + 2*k(v). Let x(o) = -3*o**2. Determine y*x(h) - 5*r(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - 5*s**2 + 4*s**2)*(0 + 0 + s**2) - 2*s**4 + 1 - 1 + (-5 + 0 - 3)*(-6*s**4 + 3*s**4 + s**4).\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238784009?\nAnswer: 238784009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*33.9\nAnswer: 3.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 224926 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51259319?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6*g**3 + 61*g**2 - 18*g - 5. Let k be i(9). What is the greatest common divisor of k and 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2595 = 24*q - 19*q. Calculate the remainder when q is divided by 169.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 611811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -2315270 and 3.17949.\nAnswer: -2315266.82051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -407227520, -407227519, -407227518, -407227517?\nAnswer: -407227516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 496 and 310000?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 5*u. Let c be w(5). Let l(f) = -f + 15. Let h be l(14). Let a(n) = 4*n + 3. Let o(g) = g - 1. Let j(m) = h*a(m) - 3*o(m). Calculate j(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 621 + -1273\/2. What is the common denominator of -151\/54 and w?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 5 (b) 4\/9 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*r - 8*r + 11*r)*(2 - r - 2 - 3 + 3 - r + 3*r - 6*r + r + (-2 + 5 - 1)*(4*r - 4*r - 2*r)) - 4*r**2 + 2*r**2 + r**2 as a + p*r + m*r**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddkkdkdkddkdddd. Give prob of picking 2 k and 2 d.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6561 is divided by 1273?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/127)\/((-2)\/(-2)). Let f(b) = -b**3 - 7*b**2 - 85*b - 474. Let t be f(-6). Which is bigger: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 32 = 46*y. Let h(d) be the second derivative of 0 - 1\/2*d**3 - 1\/4*d**4 + 0*d**2 + y*d. Factor h(s).\nAnswer: -3*s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 5 + 4 - 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/44 and -41\/1324296.\nAnswer: 14567256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**5\/50 + 493*g**4\/30 + 3896*g**3\/15 + 1552*g**2 + 6466*g. Solve i(h) = 0.\nAnswer: -485, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38519 = -4*p + 1057. Suppose 46394 = -5*u + p. Round u to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13699 and 4389.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from tpttttp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epleutpuh. What is prob of sequence ue?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 12:50 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 378 and 1188?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, y: 5, l: 3}. What is prob of sequence yy?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55783 is divided by 850.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -r + 3*r - 19*r**3 + 9*r**3 - 4 + 2*r**3 - r**2 + 10*r**3 as k*r**3 + b*r**2 + h + a*r and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**3\/x)\/x)\/(x**8*x))**(2\/49)\/(((x*x**(-2\/15))\/x*x*x*x)\/(x\/x**(-7)))**(-17\/6) assuming x is positive.\nAnswer: x**(-65581\/4410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 231, 173, 11, -309, -841, -1639, -2757?\n\"Answer: -9*q**3 + 2*q**2 - q + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, -3, -3\/10, 6\/7.\nAnswer: -3, -3\/10, 0.1, 6\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -1 + n**2 - 7*n + 5 + 1. Let a = 196 - 190. Calculate o(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526698407 to the power of 1\/3, to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 - 2*k**2 - 8*k + 3 + 3. Let f be o(5). Put -3, 4, f in ascending order.\nAnswer: f, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**5\/4 - 124*k**4 + 4133*k**3 + 3048845*k**2\/2 - 12242997*k\/4 + 3064635\/2 = 0. What is k?\nAnswer: -90, 1, 161, 423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 218*z**2 - 10 - 217*z**2 + 2*z - 26 as b*z**2 + q*z + m and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 776863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 10. Let n be f(7). Let b = 3 + -8. Put -4, n, b in decreasing order.\nAnswer: n, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c + 2. Let q be g(-2). Let z be (5 + q)*2\/(-3). Suppose 24 = 3*u - 3*b, 0 = -3*u + 5*b + 57 - 23. Is z less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 11*k - 10. Calculate the remainder when 64 is divided by z(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 11035711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 + 1 = 57*f. What is the second biggest value in -4, -14, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -799.3587939 - 16?\nAnswer: -815.3587939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 + y + 4. Let h be d(-3). Suppose -2*w + 47 = 29. Let k = h - w. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -407546, -1630147, -3667814, -6520547, -10188346, -14671211, -19969142?\n\"Answer: -407533*i**2 - 2*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 673*g + 103*g - 10817 = 94*g + 16463 for g.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p**3 + 4*p**2 + 4*p - 5. Let i(m) be the second derivative of -7*m**5\/20 + 5*m**4\/12 + 5*m**3\/6 - 3*m**2 - 10*m. Calculate -5*c(w) + 4*i(w).\nAnswer: 2*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184824 and 408?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t - 18. Let z be y(5). Suppose -4*l - z*s = -6*s - 172, -213 = -5*l + 4*s. Suppose -7*u - 6 = -l. What is the remainder when 28 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, -4, -3.047, 1\/185?\nAnswer: -3.047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16.456904 and -756299.\nAnswer: -756315.456904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((-3)\/73)*1. What is the common denominator of ((-2)\/(-3))\/((-6)\/q) and (511\/63)\/(4\/(-12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 - p - 1. Let s(g) = 681*g**2 + 3*g + 2. What is 3*l(b) + s(b)?\nAnswer: 675*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/10)\/(16\/(-120))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-182) - (-31 - 32147\/(-2418))?\nAnswer: 53\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d - 8. Let j(o) = 10*o - 38. Calculate 2*j(b) - 11*m(b).\nAnswer: -2*b + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 7 - (-1481 - -1358)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + p + 56 = 0, -50*f - f + 3*p = 15*f + p - 866 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 3, -3, -5.\nAnswer: -5, -3, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 510416 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: -184847+-79120.61\nAnswer: -263967.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1230 + 1226. Let s(h) = h**3 + 5*h**2 + 6*h + 4. What is s(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-5))\/((-14)\/(-35)). Let h(u) = -r + 0*u + 2*u + 2. Let z(a) = -2*a. Determine h(z(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-240))\/(2\/(-48)*2)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + p + 4. Let c(d) = d**3 - 5*d**2 - d - 4. Let o(r) = r**3 - r**2 + r - 1. Let j(g) = -c(g) + 2*o(g). Let f be j(-2). Determine k(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 4*b - 12, -2*k = -3*b - 362 + 342 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2108411 - 3091*k + 2108411 as h*k + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**5\/5 - 24456*f**4\/5 + 97784*f**3\/5 - 146656*f**2\/5 + 97764*f\/5 - 4888.\nAnswer: 4*(f - 6110)*(f - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 38957 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-6 + 11 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.23 (b) 0.1 (c) -4\/5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.7? (a) -8 (b) 4 (c) -961\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*q = -24*q - 399. What is the tens digit of 5451\/24 - (q + 3)\/(-32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 w when four letters picked without replacement from syysssyskkwwwsnw?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -166.1 + 168.1. Which is the closest to 0? (a) 0 (b) -11\/6 (c) h (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 373998, 748008, 1122020, 1496034?\nAnswer: 1870050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -130207\nAnswer: -1171863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 103248 and 2592.\nAnswer: 619488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**3 - 4*i**2 + 32*i + 48 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 116380137 and -0.01.\nAnswer: -1163801.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one eighths of a millimeter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50488 + 50496. Calculate the least common multiple of -1 + 402 - (-2)\/2 and g.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, 3, 1, -5 in decreasing order.\nAnswer: 3, 1, -5, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 91*f**2. Let m be b(-1). Suppose m + 61 = 2*w. Suppose 4*s - w = 2*h, -2*s = 4*h - 0 - 28. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -195\/28 + 54\/7. Let r = h + -5\/12. Which is smaller: r or 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -2358 (c) -1\/6 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/60*(-5)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k - 321 = -27*k - 2*i, 5*k + 4*i + 557 = 0. Let p = k - -321. Is 22 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.764596 rounded to 1 decimal place?\nAnswer: 99.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1735.5 - -1751.249. What is y rounded to 1 dp?\nAnswer: 15.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4153?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*p - 1557, w + 2025 = 3*p + 460. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 110?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79 - -286. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/9*(-884)\/13*6\/4?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 6\/(0 + 2) - 8*-1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -209694 (b) 5 (c) -2 (d) 0.5 (e) -1 (f) -0.1 (g) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from blaabaaad. What is prob of picking 1 a and 2 b?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a factor of 304786687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 48\/21 - 4\/14. Let i(t) = t - 10. Let z be i(12). Suppose -a*k + 29 = b - 117, -5*k - z*b + 364 = 0. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 11\/2 of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 931, 3666, 8235, 14638, 22875, 32946?\nAnswer: 44851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(2 + 16\/(-6)). Let d be (2 + h)\/(-2) - -3. Let y = 2 + d. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 5*t + 14, -t + 4*t = 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(931) - (sqrt(931) + -1)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7500 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42536 - 110*v + 42536 + (-2*v + 1 - 1)*(-1 + 5 - 2) + 2 - 2 - v)*(-v + v - v) as z*v + b*v**2 + g and give b.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0028567308 to 5 dps.\nAnswer: -0.00286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -100.43 + 100.23. What is the second biggest value in y, 3\/29, 0.14?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 3. Let s(y) = -13*y**3 + 12*y**2 - 5*y. Let a = -219 - -202. Let x(q) = -37*q**3 + 35*q**2 - 14*q. Let v(f) = a*s(f) + 6*x(f). Determine v(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388880293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**2 - a - 300. Determine q(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -422.8*0.4.\nAnswer: -169.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -113 + ((-644)\/(-2254) - 17\/35)*0?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 4*a - a)*(4 - 5 + 3) - 3*a + 2*a - a + (3 - 1 + 0)*(-1 + 1 - 2*a) - a + a + 2*a - a - 5 + 5 + 0*a - a + 2*a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*m - 568*m - 1370 - 262 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37599 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 802001 is divided by 686?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9345*i**2 - 2005175*i + 2005175*i.\nAnswer: -9345*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 5. Let m be g(10). Suppose -4*i + 13 = -x, -2*i - 31 = 2*x - 5*i. Let u = m - x. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3602318*s**4 + 22*s**2 + 203239?\nAnswer: -86455632*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -3\/4, 46, -7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*x - 14*x + 21*x + (1 + 0 - 6)*(-3*x + 3*x + x))*(0*x**2 + 3*x**2 - x**2 + 1).\nAnswer: 42*x**3 + 21*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1470?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 1\/15*w**6 + 2\/5*w**5 + 4\/3*w**3 + w**2 + 2*w + w**4 + 0. Suppose q(v) = 0. Calculate v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 times -20450\nAnswer: -3885.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 33209.1 milligrams?\nAnswer: 0.0332091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 12)\/((-28)\/98)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285937582?\nAnswer: 2, 7, 20424113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 3. Let a be r(0). Let b be 3*-1 + 2 + 25. Solve 49*i**a + 3 - 1 + 21*i**2 - b*i + 2 = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(110)*-1 + sqrt(110) - sqrt(110)) + sqrt(110)*-4*5 + sqrt(110))\/((sqrt(250) - -4*-6*sqrt(250))*-4).\nAnswer: -5*sqrt(11)\/92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 78020 to the nearest 1000.\nAnswer: 78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 1:39 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1161 and -0.3.\nAnswer: 1160.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34333\/3 - -11728. Let l = 280 - j. Suppose 2*d + 4*k + 18 = 0, 4*d - 4 = -2*k - 28. Which is smaller: d or l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 4*j**2 + 6*j - 8. Give h(-6).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/3 of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/5 (b) -1\/4 (c) 3 (d) -1 (e) -14 (f) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 35 = -5*t, 0 = 20151*x - 20158*x + t + 245 for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5 (b) 1\/7 (c) -0.3 (d) -2.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g - 1471*g**2 + 1569*g**2)*(5*g - 2*g + 2*g)*(-15*g + 5*g + 4*g).\nAnswer: -2940*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -51*c**3 + 2*c**2 + 3*c - 4. Let j be y(1). Is -48 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, o: 7, d: 1}. What is prob of picking 2 j, 1 d, and 1 o?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d + 5984 - 1903. Suppose 21*g = 22*g + d. Let k = 533 + g. What is the greatest common factor of 18 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21900592 not equal to 21900592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/5 + 47\/(-5). Calculate the remainder when -1 + (1 - 2 - -29) is divided by f\/18 + (-21)\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301856?\nAnswer: 2, 9433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -148295 - -4299601\/29. Let z = 8870\/319 + w. Suppose -10*l + 14*l + 16 = 0. Which is smaller: z or l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -766 - -772.94. Let x = 0.06 + m. Let y = x - 6.6. Put y, 1\/3, 5 in descending order.\nAnswer: 5, y, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 0*r + 2*r)*((0 + 0 - 2*r)*(-3 - 1 + 2) + 2 - 2 + r + 24*r - 10206 + 10206).\nAnswer: 145*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1877963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 8:06 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44794180.\nAnswer: 2, 5, 2239709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f. Let r(m) = -6*m + 1. Let j(l) = 9*l - 1. Let q(s) = -5*j(s) - 7*r(s). Let n(k) = 4*k + 3. Let z(t) = -2*n(t) - 3*q(t). Determine o(z(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -6. Let j = -1 - -0.9. Let v be 5\/(-9)*(-8)\/(-10). Which is the closest to j? (a) 2\/11 (b) v (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2210595 = -27*l - 437910. What are the prime factors of l?\nAnswer: 3, 5, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (63\/16 - 1) + 3 and -49\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 188715148 - 4?\nAnswer: 188715144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0.4 (c) -0.1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-10))\/((-2)\/10). Suppose -v*a = a + 9. Let t be ((-28)\/(-63))\/(2\/a). What is the closest to 2\/5 in 1, 3, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57264 is divided by 18960?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m + 124. Let k be b(-21). Solve v + 18*v + k = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31909 is divided by 158?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 447525 and 21060.\nAnswer: 1790100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-3)\/36*-3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1089*s**5 + s**4 - 61*s**2 - 11*s wrt s.\nAnswer: 65340*s**2 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3776*k**4 - 9392*k**3 - 344530*k**2 + 2*k - 4 wrt k?\nAnswer: -90624*k - 56352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 5*p + 24 = 0, 2*n = -2*n - 4*p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65265 and 1140.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -29*m + 2, 6*w + 6*w - 15*w = 4*m - 52 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 60 - 141. Suppose 0 = 4*o + s - 509. What is the remainder when o is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**4 - 95*h**3 - 195*h**2 + 855*h + 2160.\nAnswer: -5*(h - 3)*(h + 3)**2*(h + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + c**2 + 2)*(-7 + 2 + 2*c + 6) as h + f*c**2 + b*c + k*c**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**5 + 0*g**4 + 0*g**4 + g**4 + g**5 - g**4 - g**5 + 2 - 2 + (0 + 0 + g**3)*(-3 + 3 - g**2) + 0*g - 2*g**5 + 0*g + 0*g**4 - 2*g**4 - 6*g**5 + 0*g**4.\nAnswer: -8*g**5 - 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 - 1)*(16*l + 6*l + 5*l) - 1 + 4*l + 0*l - l in the form z + g*l and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14937\/10 + 291559\/195. Calculate the common denominator of v and -17\/130.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42106 = 5*p - 3*f - 25073, 4*p + 3*f = 53781. What is the greatest common divisor of 80 and p?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.4 plus 4.5?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29279, -29274, -29269, -29264, -29259, -29254?\nAnswer: -29249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + 8*f - 6. Let z be h(-6). Suppose 5*l - z = p, -l + 20 = -5*p + 2. Let y = 12 - l. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*v - 26*v + 3*v + 47*v.\nAnswer: 66*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 611052 and -0.2.\nAnswer: -122210.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iffiii. What is prob of picking 2 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 130.915 + -131. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -158*u - 728. Calculate the remainder when 456 is divided by c(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1.5. Let s = 1380 + -1378. What is the third biggest value in -2\/17, 3, v, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-1 + -2 + 1) + -34. Let p = 39 + d. Solve -p*n - 1 = -7*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 3*z + 2, 2*v - 4*v - 4*z = 12. Suppose 14 = v*i - 0*i. Let o = i - -16. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4284, 4, 0, -26, 18, 3 in decreasing order.\nAnswer: 4284, 18, 4, 3, 0, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -1074*k + 1073*k - 4*m, 5*m = 10. Which is the second biggest value? (a) 430 (b) -1\/3 (c) k (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**2 - 4*g + 3. Is q(2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 309886779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*w - 7*w + 13*w)*(1 - 2 + 0)*(160*w**2 - 66*w**2 - 65*w**2).\nAnswer: -464*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27446 + 922?\nAnswer: 27d68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 - -67.54. Let m = 5.46 + y. Let l = -5\/34 - -83\/102. Sort 0, l, m in descending order.\nAnswer: m, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 454 divide 1146804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 37245.91 tonnes?\nAnswer: 37245910000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-65)*(-5)\/3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 361829 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: Is 111962234 at most 111962233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18225577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) -0.04 (c) -26 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 13395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -389*k**3 + 12*k**2 + 389*k**3 - 49*k**4 - 3*k**2 wrt k?\nAnswer: -1176*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 11*w**7\/105 - w**4\/8 + 18*w**2. Find the second derivative of k(g) wrt g.\nAnswer: 264*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*w - 713 = -3*w, 5*w + 1175 = 5*c. Suppose -c = 4*v + 4*m, 142 = -2*v + m + 3*m. List the prime factors of ((-6)\/(-9))\/((-6)\/v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 63 = -3*d, -4*g - 5*d + 1 = -56. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - b = -4, -2*b = -0*b - 8. Suppose m = g + 2*g + 5400. What is g rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.67 - -0.33. Which is the second smallest value? (a) -3 (b) -2 (c) g (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -139*y**4\/2 - 752*y**3\/3 - 1577*y + 1. Find the second derivative of g(m) wrt m.\nAnswer: -1668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(2\/(-3)) + -3)\/(-1). Solve x = 3*o - 6*o + 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - b + 1. Let n = 3 - 2. Let u be y(n). Let r(z) = 22*z**2 - z. Is r(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/(-150))\/(-8)*94\/(-376).\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - n = 812 + 1202, 5*s - 5*n = 5025. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**10*j*j**7)\/(j**(-1\/8)*(j**(-1)*j*j)\/j))**23 assuming j is positive.\nAnswer: j**(3335\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -209 + 208. Let n = 39 + -23. Which is bigger: q or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1619.626 millimeters?\nAnswer: 1619626000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**4\/12 - 5*v**3\/6 - 13*v**2. Let a be 1*2 + 4 + -3. Let n(t) = t + 4. What is a*n(i) + 2*u(i)?\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-4)*(-4)\/(-6). Let x = 0.3 + -0.4. Let u = 15 + -19. Which is the closest to x? (a) u (b) j (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4018*j**2 - 9438*j**2 + 3359*j**2 + 3202*j**2.\nAnswer: 1141*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 489 divide 94377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/4*(53 + -1). Suppose w + d = 4*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -57. Suppose -y + 4*z = -z - c, -4*y + 44 = -5*z. Let q = -8 - -16. What is the lowest common multiple of y and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 13*z + 2. Let v be u(0). Let d = 63 - 61. Factor 6*b + 9*b + 6*b**d - 9*b**v.\nAnswer: -3*b*(b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**3 - 66 - 3*n**3 + 63 to the form c*n**2 + x + r*n**3 + j*n and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 32995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38402 and 6752.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 9*p**2 - 9*p + 2. Let l be o(7). Let f = l + -26. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18991 is divided by 18988.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 5*w - 165, 0 = -5*n + 327*w + 330*w - 658*w - 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q = 2*j - 27*q - 9, 18 = j + 3*q. Calculate the lowest common multiple of j and 4\/(-10) - 411\/(-15).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (948\/(-105))\/(72\/(-28)). Let m = r - 28\/9. Which is greater: m or 3\/14?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17405*m + 34809*m - 17399*m = 3*l - 8, -2*m + 32 = -10*l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216996 is divided by 345?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 221*l**2*n**3 - 27*l*n**3 - 13*l*n**2 wrt l.\nAnswer: 442*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 167445.1cm in meters?\nAnswer: 1674.451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -16. What is the remainder when g is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14089193?\nAnswer: 37, 193, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2745*g*k**3*w**3 - 2*g*k**3*w + 14743*g*k**2*w**3 + 3*g*w**2 - k**3*w**2 + 15547485*k**2*w**2 wrt w.\nAnswer: 16470*g*k**3 + 88458*g*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/21*885\/944)\/(1\/(-18))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-30) - (-3)\/15)\/(4981\/102 + -51).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/9 (b) 79\/7 (c) 0 (d) 6 (e) 3 (f) -2 (g) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 1 + 0)*(b**3 - 7*b**3 + 0*b**3).\nAnswer: -48*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*o = 206 + 3590, -o + 1 = 0. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/9568 and 113\/144.\nAnswer: 86112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 11, -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*z + 3*z + 20, -m = z - 2. Solve -5*j + 5*u + 6 = 31, 0 = -3*j - m*u + 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.6 + -0.4. Let d = -130249.16 - -130249. Are r and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1907 is divided by 495?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 154 = 88. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 932290 is divided by 464580.\nAnswer: 3130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1540 + -1544. Is y at least -3026?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542*m = 551*m + 18 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (906 - 1) + 54\/(-9). Let m(n) = -455 + n**2 + s - 451 - 2*n. Calculate m(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 129605 - 4243*j + 1902*j + 5*j**2 + 731*j.\nAnswer: 5*(j - 161)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376772479.\nAnswer: 17, 1303711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-118)\/((-168)\/(-44) + -4). Suppose -6*r + 383 + h = 0. Suppose -8*q + 4*q + r = 0. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -6531?\nAnswer: 6524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*3143912\nAnswer: -62878.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1395*h - 162*h + 1982 + 37*h - 1982 to w + d*h and give d.\nAnswer: 1270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 574*q**6 - 1168*q**2 - 172*q**2 + 190*q**2 - 191*q**6 + 610*q**6 wrt q.\nAnswer: 119160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - -14 - (-8 + 10 + 10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 12, 2*f - 39*b = -35*b - 34. Let v be -1 + 2 - (-86 - 0). Suppose 0 = 4*c - 7*c - v. Is f at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.51836505656 + -49.\nAnswer: -49.51836505656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 176223858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000438215 rounded to 7 dps?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93032283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 484 = 4*p. What is the remainder when p is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -2*d**7\/7 + 8*d**6\/15 + 4*d**5\/5 - 9*d. Factor r(i).\nAnswer: -4*i**3*(i - 2)*(3*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 665 + 639. List the prime factors of o.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -137\/1109 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 4*g + 34492, -3*l + 0*g - 20694 = 3*g. Round l to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = 9*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3153, -3165, -3191, -3237, -3309, -3413, -3555, -3741?\n\"Answer: -x**3 - x**2 - 2*x - 3149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/21 and 41\/11.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3\/10, 94 in ascending order.\nAnswer: -0.1, 3\/10, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4782 or -4775?\nAnswer: -4775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -6*h + 53. Let o be a(-7). Suppose -917 = -3*d - o. Is d 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*l**3 + 49*l**2 - 24*l.\nAnswer: 12*l + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 139*w**3 + w - 1. Let v be c(1). Let d = v + -91. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 2192?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 432 = 36. Calculate the greatest common divisor of 33 and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 17*f - 84 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1236 by -4.\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6059 = 6*y, -4*y + 9981 = 3*o - 8238. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 117 - 57 + 2*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 3*y**2\/2 - 7*y - 2296. Let d(n) = 7*n - 13. What is 2*d(u) - 5*f(u)?\nAnswer: -u + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 7:03 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 96332*r**2 - 6*r. Let z(x) = 4*x**2. Determine f(z(w)).\nAnswer: 1541312*w**4 - 24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)*-2*3.\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -47*r**2. Let a(q) = 3437*q. Determine t(a(f)).\nAnswer: -555209543*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*q = -138*q - 72. Is 5 a factor of 113\/5 + q\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 1150002*p + 4. Let f be (20\/(-15))\/((-2)\/(-3)). Let z be i(f). Round z to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c + 8. Let u(j) = -231*j**2. Calculate u(a(w)).\nAnswer: -5775*w**2 + 18480*w - 14784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 620 + -244. Let u = k + -340. Calculate the remainder when u is divided by 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27a - 111b02?\nAnswer: -112180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 12:02 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 10. Calculate the remainder when y(5) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101100 - -10100010011000000000?\nAnswer: 10100010100001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -35 (b) -0.1 (c) -0.51 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001679427 rounded to 6 dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -19*r + 11*r + 0 + 9*r - 7. Suppose 0*s + 3*s = 9. Let x = 2 + s. Calculate u(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*a**4 + a - 5*a**5 + 5*a**4 + 6*a**4 wrt a?\nAnswer: -100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -559.12 + 562. Let s = l + -2.78. Let c = -2 - -6. Put s, c, -0.5 in descending order.\nAnswer: c, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*u**2 + 5*u**2 + 7306*u**3 - 2501*u**3 + 1491*u**3 in the form w + v*u**2 + l*u**3 + c*u and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*i**2 + 37*i**2 + 50*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 3763392.\nAnswer: 3, 4, 3763392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 5*x**4\/2 + 11*x**3 + 21*x + 28. Let s(i) be the first derivative of f(i). Find the second derivative of s(k) wrt k.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191874.\nAnswer: 2, 3, 113, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 take away -0.05?\nAnswer: 144.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -237 - -488. What is the remainder when x is divided by 79?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 y, 1 j, and 1 h when four letters picked without replacement from {h: 1, r: 1, y: 1, j: 1, w: 2, t: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11542 + 7202203\/624. Find the common denominator of -83\/10 and h.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -61431*s + 2. Let i be w(5). Suppose -9*x = 2*u - 10*x - 334304, -3*u - 5*x = -501469. Let c = u + i. What is c rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18490 - -18532. What is the highest common factor of n and 1036?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + b**2 + b + 62. Let x be s(0). Let j = x - -378. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 162*t**2 + 1341*t**4 - 2*t**3 + 0*t**3 + 2*t - 1343*t**4 in the form s*t + q + f*t**3 + k*t**2 + r*t**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52877520*j**5 + 29399868600*j**4 - 58570211045*j**3 - 36029380*j**2 - 5540*j = 0 for j.\nAnswer: -1\/3252, 0, 2, 554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*g**2*p**2*z + 2*g**2*p + 6*g**2*z - 202*p**2*z - 2*z wrt g.\nAnswer: -6*g*p**2*z + 4*g*p + 12*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (6*sqrt(176)*1 + sqrt(176) + sqrt(176) + 6*(sqrt(176) + -1*sqrt(176) + sqrt(176)))\/(sqrt(12)\/((sqrt(36)\/sqrt(3))\/sqrt(4))))**2.\nAnswer: 280*sqrt(11) + 8649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 1:14 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -655*g + 5. Let k be r(-2). Suppose 10*a = k + 505. List the prime factors of a.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x = 15*x + 324. Find the common denominator of 11\/4 and (14\/30)\/(x\/(-225)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 + -28 + -56 + 104\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 682031639 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 4, -114, 5.\nAnswer: -114, 4, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 279*s - 275*s - 26 = 0, 20 = -5*z + s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4316 + 2*m**2 + 98*m**3 + 4316 in the form i + p*m**3 + u*m**2 + b*m and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, k: 4}. Give prob of picking 4 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 + -52. Let g(d) = 33*d**2 - d - 13. Is g(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-405)\/1260)\/(324\/189).\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144064190 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: Calculate the remainder when 406917 is divided by 1413.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9401908 and 332.\nAnswer: 9401908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z - 16*z + 9*z + 11*z**3.\nAnswer: 11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/2497 and 31\/9.\nAnswer: 22473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10161 to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*(-2)\/8 - (-174)\/270. Let g = 103\/90 - f. Find t such that 1\/2*t + 3\/2*t**2 - 1\/2*t**3 - g = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 38.1 (c) 15\/8 (d) -2458\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(4\/10))\/((-15)\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1217 is divided by 544.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35183 and 4077.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*z = 170*z + 16 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + (4 - (3 + -2)))\/2. Suppose -m - 5*t + 174 = -349, -5*m = k*t - 2527. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/653 or -1?\nAnswer: -9\/653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 times -721160\nAnswer: 1153856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -89*m**3 + 34*m**2 - 6. Let l(h) = 2. Let x(v) = 3*l(v) + n(v). Find the third derivative of x(w) wrt w.\nAnswer: -534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 25*k + 98. Let a be m(-5). Let f be (a\/(-24))\/((-21)\/(-280)). Let v(w) = -w + 29. Calculate v(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-85) - (198\/238 - 1). What is the closest to k in 11, -0.7, -1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -8*u + 329. Let c(r) = 162*r - 169*r + u - 14. What is the units digit of c(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 4*j + 6, 3*j = 5*z + 3 - 14 + 6 + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2450, -3490, -4544, -5618, -6718, -7850, -9020, -10234?\nAnswer: -11498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 229167 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 45*s + 40*s + 7 - 14*s in the form b + z*s and give z.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/8 of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-36))\/(4\/22*385\/140)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 962*r - 40 - 112 + 153 + 5 + r - 5 - 3*r + 5*r + 0*r - r - 1 + 1 + (-2*r + 4 - 4)*(0 - 4 + 2) - 2 - 2*r + 2 to k*r + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from vvvyfyfvvvvvvvvvfyfv.\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1 = -6. Let x be (q + 5\/2)*6. Let c = x - 3. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34234094 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1073 - 1073. Solve p = -2*m - 4*m + 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 5*j + 84 = 0, 12*a - 6*j - 116 = 11*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighty-five quarters of a millimeter?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 153 and -72217.\nAnswer: -11049201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -2\/9 (c) 3799\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 0*j**3 + 4*j**2 + j - 2 + j**3 + 2. Let a be t(-3). Let o be (-10)\/a - (-8)\/12. Sort o, 0, 4 in decreasing order.\nAnswer: 4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 3*s - 12, 0*n + 4*s + 34 = -3*n. Let w be 5 - 8\/(-12)*n. What is the remainder when 1\/((w - 0) + 0) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 302722210 and 14120?\nAnswer: 3530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**4\/24 - 4*p**2. Let f(z) be the first derivative of 1 + 2*z**2 - 5*z**2 + 5*z**2. Give f(x(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(672\/296)*12)\/(-6*1\/3).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2. Let k(v) be the second derivative of v**7\/630 + 37*v**4\/12 + 2*v - 21. Let s(h) be the third derivative of k(h). Determine s(p(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5327037 is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmo when three letters picked without replacement from hmohokjohk.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 8\/(-12)*24303. What is v rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2\/3 - 6897290*o\/3 + 2378630467205\/3.\nAnswer: 5*(o - 689729)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(110)\/(sqrt(10) + (sqrt(40)\/sqrt(4) - sqrt(10))) + 0 + 4.\nAnswer: 3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -660 divided by 3?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 323 and 82?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073764397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (290\/1160)\/(5\/15 - (-3)\/(-8))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 13\/(-2))\/((-29)\/58). Suppose 0 = -12*x + c*x. Solve x = -4*j + 9 - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -0.7.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-4 - -2) + -15?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 2\/3, 25001?\nAnswer: 25001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8635 + -7?\nAnswer: 8627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 6*a + 32 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 102?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 211271*h**5 - 323407*h wrt h.\nAnswer: 4225420*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 8*j**2 + 35*j - 2. Let d(a) = -13*a**2 - 53*a + 2. Let s(o) = -5*d(o) - 8*l(o). Calculate s(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*z - 19*z + 6*z + 0*z in the form d*z + j and give d.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-2 + 0) + ((-29376)\/(-85))\/24.\nAnswer: 47\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 5*v = -25, 5*q + 0*v + 5 = -v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 319*i**2 - 3 + 5*i + 163*i**2 - 7*i. What is the tens digit of h(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 97720591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 2. Suppose 4*s + 4*w = -6 - 2, -3*s - 2*w = 1. Let d be j(s). Suppose -2*h + 8 = 5*z, -d*h + 5*z + 42 = -48. Solve h = 2*l + 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 21539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -2\/219, -1, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 8 - 21 = 0. 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 2945061 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**4 + 19*j - 15*j**4 + j wrt j?\nAnswer: -168*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**2 + 3*b + 2. Let s be (0 - (2 + -1)) + 3 + -4. Let w(c) = -4*c**2 - 4*c - 3. Let u = 1 - 4. Let q(f) = s*w(f) + u*n(f). Factor q(l).\nAnswer: -l*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16614271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - q - 4 + 3)*(q - 6*q + 3*q) + (-4*q + 0 + 0)*(-2*q + 0 + 0).\nAnswer: 10*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 285200.\nAnswer: 285200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 11:47 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*i = 79*i - 16*r - 68, 60 = -5*i + r + 38 + 46 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12508)\/(-16) - (-1)\/4)\/1. Let g = v + -7921\/10. What is the common denominator of 36\/11 and g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.2 - -12.6. Let x = -11.9 - -12. Sort -2\/15, x, -9, r.\nAnswer: -9, -2\/15, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -6. Let w be (-2 - y) + -6 + 17. Calculate the highest common factor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 14*u = -3, -x - 66*u + 62*u = -3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.3 at most as big as -1\/270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkgekeekeke. What is prob of picking 2 k?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(5445)*2 - (sqrt(270) - -1*sqrt(270))\/sqrt(6))\/((sqrt(18) - sqrt(54)\/sqrt(3))\/sqrt(2) - sqrt(9)*3*-3))**2.\nAnswer: 2000\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3.13 (b) 24\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -0.4, -2.89 in ascending order.\nAnswer: -17, -2.89, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -48*b**3 - 2*b**2 + 2. Let z be u(2). Let k(y) = -y**3 + 4*y**2 + 2*y - 6. Let s be k(7). Let w = s - z. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (1 - (9 + -14 + -1)) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 5 (b) 10 (c) -0.8091\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17105751, 34211462, 51317173, 68422884?\nAnswer: 85528595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7550)\/4*76\/95. What is a rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**4\/24 + 8*f**3\/3 + 4*f**2. Let q be l(-11). Suppose d = -5*z + 29, 0 = q*z - z + 4*d - 20. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*c**2*y**3 - 3*c**2*y**2 + 222365*c**2*y - 4*c**2 - 5893*y**3 wrt y.\nAnswer: -60*c**2*y - 6*c**2 - 35358*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -37, -32, -27, -22?\n\"Answer: 5*w - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (0 - 2)) + 0 + (-1 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 6. Suppose 0 = -q*y - 0*y + 12. Let f(k) = -k**2 - 7*k - 7. What is the smallest common multiple of y and f(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 129*u**2 - 12 - 6 + 41*u**2 + 11.\nAnswer: -88*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 279 and 7440?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 6531075?\nAnswer: -6531076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 6:10 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4227 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/712792 and -18\/85253.\nAnswer: 94801336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133650?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lttvtqttbltl. What is prob of sequence tb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 105. What is the remainder when j is divided by 37?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -11. Suppose o*j = 4*j - 4*h + 27, -3*j = -3*h - 6. Solve -4*n - 5*b + 22 = -n, -j*n = -2*b - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 90 or 0.05?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v*v\/(v\/(v\/(((v*v**(-2\/7)\/v*v*v)\/v)\/v))))\/v))\/v*v**(-2\/5))**(-7\/11))**(-40) assuming v is positive.\nAnswer: v**(-472\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -8 + 3*v**2 - 1 - 1. Let j(s) = -s**2 + 3. Suppose k - 15 = -2*k. Suppose -g + 26 = 2*g - x, -4 = 3*g + k*x. Calculate g*j(z) + 2*f(z).\nAnswer: -z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-130)\/(-170))\/(64\/272)*4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 584785951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3445553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 4622*g - 2517060.\nAnswer: 2*(g - 455)*(g + 2766)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 199*b**2 - b - 3528.\nAnswer: 398*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -13*i + 73. Let a be x(-11). Let z = a - 141. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 7*k. Calculate m(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46997?\nAnswer: 46997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8089 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 are the prime factors of 45678481?\nAnswer: 2843, 16067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2224*z**2 + 32*z + 221. Is a(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98288 (base 12) in base 9?\nAnswer: 335445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {o: 2, w: 4, t: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 31593.18ms?\nAnswer: 31593180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8*q + 3. Suppose -4*x - 22 + 2 = 0. Let d(y) = -24*y - 10. Let m(o) = x*d(o) - 16*p(o). What are the prime factors of m(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 6:16 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 0.3 (c) 4635 (d) 1\/2 (e) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 10 = n - 46, 0 = -5*b + 5. Solve -36*q = -n*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 4*p = -8, -134 = -2*z + 238*p - 256*p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6412 + 6402.182. Let w = -13.15 - d. Round w to one decimal place.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i + 4 - 4 - 145 - i + 145 + (i - 4*i + 4*i)*(2 + 2 - 3) + 2*i + i - 2*i as j*i + c and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(18)\/sqrt(9)*5)**2 + 2 + sqrt(2) + -4.\nAnswer: 2*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 28*o**2 - 1031*o + 9094. Give r(22).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1665.6 + 1666. Which is the closest to 72? (a) -0.4 (b) 4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (144\/40)\/6*(-170)\/(-2397)\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47737533\/25 or 1909502?\nAnswer: 47737533\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 239 = 5*u, 2*r - u - 269 = -2*r. What are the prime factors of r?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2))**(-2\/133)\/(d\/d**(-8\/5))**4)**(1\/8) assuming d is positive.\nAnswer: d**(-3453\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 63874440 a multiple of 2840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2073 - -9065. Is 152 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 - 4\/(8 - 4) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*d - 19 = -2*q, 4*q + 3*d = 47. Let l(m) = m + 3 - q - 6. Let w = -9665 + 9672. Determine l(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-639)\/(-2556))\/((-12)\/(-160)*(-4)\/(-78))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1056*s**5 - s**4 + s**2 - 1670*s wrt s.\nAnswer: -21120*s**3 - 12*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 195 = -5*n + 2*z, -5*n - 2*z = -195. Suppose b - n = 4*u, -u = 4*b - 225 + 18. Is b a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18\/(-60) + 8715\/50 is divided by 17 + 21 - (0 + -7).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 631696 and 19582576.\nAnswer: 19582576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1572, -1027 in increasing order.\nAnswer: -1572, -1027, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6591.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 - 115*m**2 - 135*m - 27. What are the prime factors of d(59)?\nAnswer: 3, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/102 and 67\/26971962?\nAnswer: 26971962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3233.57 - 3216. Let v = -39 + 57. Let y = v - q. Round y to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 827414870 rounded to the nearest one hundred thousand?\nAnswer: 827400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*h + 76*h - 819. Let g = 2 + h. What is the greatest common factor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187707413?\nAnswer: 187707413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6.0514 or 13.03?\nAnswer: 13.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 + -5 + 9291 + -9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -6 - -5 - -3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 6) in base 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63688875*v**2 - 318444385*v - 50.\nAnswer: -5*(v + 5)*(12737775*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbkofjp. What is prob of picking 1 j, 1 o, and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 1633.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17.92 - 17.47212. Round c to three decimal places.\nAnswer: 0.448","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 371*c**3 - 5*c**2 - 10*c - 5. Let f(i) = 371*i**3 - 6*i**2 - 12*i - 6. What is 5*f(r) - 6*k(r)?\nAnswer: -371*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(8)*3.\nAnswer: -3 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/17, -2\/9, -14, 16, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + o**2 - 2*o - 13. Determine g(-5).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 282522 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.60852 rounded to 2 decimal places?\nAnswer: -3.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292 = -10*u + 8. Suppose -u*k = -24*k - 762. What are the prime factors of k?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, b: 7}. What is prob of picking 1 d and 3 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 8, -1\/33, 0.021?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/sqrt(2) - (2*sqrt(108))**2.\nAnswer: -432 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.4 + -3. Let j = n + 3.6. Which is the closest to 0.1? (a) j (b) -1\/5 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 419761*b**2*t**2 - 2*b**2*t - 2*t - 43170 wrt t?\nAnswer: 839522*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -2*l. Solve -3*d + l*d = -12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*p = -106*p - 500. Solve 13*y - p + 101 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -93 + (-89 - -288) + -114?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/3 of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-16)*(24\/2)\/(-1). Suppose 6 + 6 = -c. Let i be (-1)\/3 - 88\/c. Let l(a) = -3*a**3 - 3*a + 7. Let p(d) = d**3 + d - 3. Give i*p(k) + t*l(k).\nAnswer: -2*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 770 and 4389?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 759577?\nAnswer: 7, 13, 17, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12458 rounded to 3 dps?\nAnswer: -0.125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 298*r**2 - 84 wrt r?\nAnswer: 596*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 282436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**4 + 40621475*s**3 + 206263059363056*s**2 + 309394497646272*s = 0. What is s?\nAnswer: -10155368, -3\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 512345 (base 8) to base 7\nAnswer: 1303156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/674 and 67\/10?\nAnswer: 3370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 3*j**2 + 2*j - 6. Let w(k) = -k**3 + 25*k**2 + k - 29. Let r be w(25). What is f(r)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - w + 3. Let p be t(-6). Let y be (1 - p\/(-21))*-7. Suppose -3*v = -2*o - 47, -y*o + o = -4*v + 71. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3015.99996646 + 3016. What is y rounded to 6 decimal places?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -20. Suppose -18 = 3*f - 3*o, 0 = -f - 0*o - 2*o - 6. What is the least common multiple of m and -2 + 2 + (-3 - f)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 0) + (99 - 107) + 60?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30050*c**2*h**2 - 2*h**2 - 396*h - 1 wrt c.\nAnswer: -60100*c*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*h**3*j*w + 2*h**3*j + 2*h**3 + 33*h**2*j - 1019*h*j - 467436*j*w + 4*j - 2 with respect to w.\nAnswer: -31*h**3*j - 467436*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.250143 micrograms to kilograms.\nAnswer: 0.000000001250143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 5:57 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 467 - 239. What is the units digit of (2\/4)\/(((-14)\/j)\/(-7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171287 and 11461?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -88 + 98. What is the first derivative of p - 982*i**3 + 945*i**3 - 48 wrt i?\nAnswer: -111*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275543?\nAnswer: 275543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 572 and 2483.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5 + 65*s**4 + 142*s**3 - 536*s**2 = 0. What is s?\nAnswer: -4, 0, 2, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7132\/548 + (-3170)\/217145?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*n**3 + 42*n**2 + 45*n**2 + 39*n**2 + 26*n**2 - 194*n**2 + 44*n**2.\nAnswer: -21*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 + 2*n**2)*(4*n - 2*n + n)*(-9*n + 3*n + 2*n**2 - 8*n).\nAnswer: 12*n**5 - 84*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 6*v + 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 985 or 6892\/7?\nAnswer: 6892\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**2 + 21*g. Let o be h(6). Suppose -o - 2 = 5*u. List the prime factors of u\/(96\/(-392)) - 4\/(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6057*k + 163535. What is p(-27)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1328*o + 330*o + 336*o + 334*o + 334*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 9*h - 8. Let k be v(-8). Suppose 5*y - 4 - 6 = k. What is the least common multiple of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 11:36 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18c6 + aa?\nAnswer: 1981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 13762074.\nAnswer: 330289776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 0 (c) 178 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1349 - 1349.3. Which is the third biggest value? (a) 2 (b) 6 (c) q (d) 2\/5 (e) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325*(-114)\/741 - -68.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -82154 and -3.\nAnswer: -82157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**5 - 69*y**4 - 1531*y**3 - 9795*y**2 + 24464*y - 13068 = 0. Calculate y.\nAnswer: -27, -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4038310 or 4038311?\nAnswer: 4038311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/27*-3)\/(24\/(-144)*(-96)\/(-168)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 951*p**2 + 3497*p**2 - 7334*p**2. Let q(w) = w. Give r(q(l)).\nAnswer: -2886*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 3*l + 2. Let d be k(-3). Suppose -h + 30 = 4*h. Let i = h + -4. Calculate the highest common divisor of i and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 12.8. Let f = -3078.082 + 3078. Which is the fourth biggest value? (a) 0.1 (b) f (c) -5 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47963\/4 + -11991. Which is the nearest to -0.16? (a) d (b) 4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6740*p = -6766*p + 54366. List the prime factors of p.\nAnswer: 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 + 28*y - 87. Let v(d) = -5. Let q(t) = p(t) + 3*v(t). Suppose q(x) = 0. What is x?\nAnswer: -17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273 + 1149 - 291 + 5*d - 14*d - 282 - 303.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1354\/5 + -269. Let b = 11841\/11 - 1077. Sort b, -2, i in ascending order.\nAnswer: -2, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/3)\/(b*b**(2\/31)))**25 assuming b is positive.\nAnswer: b**(-5575\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 3\/4 (b) 1\/3 (c) 7 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 13 - 6*q**2 + 5 + 4 to the form d + a*q**2 + p*q and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3275.4 to the nearest ten.\nAnswer: -3280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - -40. Suppose -82*s + u*s - 117 = 0. What is the highest common factor of s and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 9959\/18737?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 38 = -25. Suppose 0*u + u = 33. Let n be (2 + w\/u)*-1. Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13058.19nm?\nAnswer: 0.001305819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(5 + sqrt(76) + sqrt(76) + 0 + 2 + sqrt(76)).\nAnswer: -24*sqrt(19) - 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -636*h*z**2 - 520*h*z + 9*h - 429714536*z**2 wrt h?\nAnswer: -636*z**2 - 520*z + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1490, -2\/7, 4 in ascending order.\nAnswer: -1490, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396) - 1*sqrt(396))*-3)\/(sqrt(396) - (-2*sqrt(396) + sqrt(396) - sqrt(396) - sqrt(396))))\/(6*4*sqrt(1452)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7*-1*(-41 + 39). Calculate the highest common divisor of 896 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -144896 - -144893. Let a(b) be the first derivative of b**2\/2 - b + 1. Let c(z) = -16*z + 20. Give g*c(t) - 60*a(t).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3 - 1 = 2*t, 0 = 3*s - 2*t - 1. Suppose 4*o - 73 = -s*a, -a - 22 = -2*a + o. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**4 + p**3 + 2*p**2 + 2*p. Let l(j) = -10*j**4 - 3*j**3 - 7*j**2 - 7*j. Let u(d) = 2*l(d) + 7*w(d). What is f in u(f) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/9*-6*1\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95271\/2158 + 574\/13. Put f, -4, -1, -2 in descending order.\nAnswer: f, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-273)\/(-28)*8\/(-24) - -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 7. Suppose 2*k - 3*n - 10 = 0, -4*n - 39 = -5*k - 0*n. Calculate the least common multiple of y and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 13 - 1 = 0. Suppose -j*z = -5 + 2. Let m(f) = -z + 4 - f - 3. Let o(u) = 3*u. Give m(o(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-222)\/(-7) + 2\/7. Suppose 5*f = t + 486, 130 = 4*f - 2*t - 266. What is the highest common divisor of f and v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 7*m**2 + 17*m + 62. Calculate z(9).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10\/4707, -36\/5, 4?\nAnswer: -10\/4707","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1 and -9261 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 18*z - 43. Let r be b(15). Let l(y) = -y**2 + 4*y - 2. Let p be l(r). Solve 0 = -p*i + x - 7, -3*x + 0 = 4*i - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011110111 (base 2) in base 15?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 92839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4688 - 4724. Sort 0, -6, c in descending order.\nAnswer: 0, -6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 122*j + 2*w = 126*j - 8, -j + 2*w = 2*j - j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -374 - -377. Which is the closest to -21? (a) i (b) 0.3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*a - 89*a = 189*a + 10500 for a.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 3) in base 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12292 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 256689 by 1.\nAnswer: 256689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n + 2. Let z be t(5). Let y = 13 + z. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11a7f4 (base 16) to base 12\nAnswer: -479758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 11607 + 17640 = p, 0 = -2*y - 3*p + 19484. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 15 = 80. Let b = w + 31. Let a = -2 + b. Calculate the greatest common factor of a and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 12*m**2 - m + 16. Let i be x(12). Suppose -5*v + 9*v - i = 0. What is the smallest common multiple of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrb when three letters picked without replacement from {b: 3, m: 1, j: 3, r: 3, g: 1, e: 4}?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.8987 * 3\nAnswer: 5.6961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 4.3. Let w = 286.2 - 286. Suppose -3*s + 2 - 11 = 0. Which is the third smallest value? (a) w (b) d (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 746 + -253?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*l - 424 = 5122. What is the remainder when 352 is divided by l?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-194)\/(-13871))\/(4\/260).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-5*(-9)\/15))\/((-2)\/14).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 647269\/3 at least as big as 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-6)\/(-36)*18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1266 (base 8) to base 13.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*21\/(-2205)*50.\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 37\/13483 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 5148?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3 = r, 11*j - 3*r = 16*j - 2. Is j <= 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 970 or 1\/51?\nAnswer: 970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = o + 64. Suppose 4*r + 4 = o. Let x(n) = n**2 - n - 9. Is x(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 60, 3, -2, -5.\nAnswer: -5, -2, 3, 11, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (3 + -4 + 0 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.026 + 26.974. Let l = -26.943 + c. Let g = -0.257 + l. Are g and -0.8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.6 + -2.5. What is the closest to 0.1 in 1, -3\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-9)*3\/(-5)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -58*p**3 + 35*p**2 - 3*p - 3. List the prime factors of b(-7).\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*n = 50*n + 81201822. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170669.99 rounded to the nearest 100?\nAnswer: 170700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -i + 6*i. Let k be (-6)\/15*i\/2. Solve q - q**k - q + 1 = 0 for q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 49*a**6\/15 - 4*a**3\/3 - 167*a. What is the second derivative of w(l) wrt l?\nAnswer: 1176*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 22. Let g be z(9). Let v = g + 22. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-64))\/(501\/34736).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/36*((-13)\/8)\/((-12)\/72). Which is the fourth smallest value? (a) 0 (b) p (c) -2\/5 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28391284, -28391288, -28391292, -28391296, -28391300?\nAnswer: -28391304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*k**4 - 170*k**3 - 125*k**2 + 170*k - 40 = 0. What is k?\nAnswer: -1, 4\/11, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107162 + 107890 = -97*h + 6*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -2*r**7\/35 - 29*r**5\/60 - 9*r**2. What is the third derivative of u(j) wrt j?\nAnswer: -288*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((-1 + 1 + sqrt(76) - -2*(sqrt(76) - sqrt(76)*-2)) + 2*sqrt(171) + (sqrt(19) + -3)*-2 + sqrt(19))*-3)**2.\nAnswer: 2166*sqrt(19) + 62092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/2720 and -53\/272?\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 12*x**3 + 121*x**2 + 5*x - 24. What is s(-10)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bc + 12?\nAnswer: ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (47 - 47 - 134*q)*(12*q**2 - 5*q**2 + 7*q**2) as h*q**3 + o*q**2 + d*q + z and give h.\nAnswer: -1876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 4*i + 45 - 17 = 0, 5*x = -3*i - 26 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -38, -108, -178, -248?\n\"Answer: -70*z + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34519863 is divided by 261514.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-4)\/(-16)*2. Let u = 1 - 2. Which is the nearest to k? (a) u (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24148?\nAnswer: 2, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6146632.\nAnswer: 2, 768329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2351 greater than -2352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 811, 143, 2 in descending order.\nAnswer: 811, 143, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/15*(-30)\/(-4). Let o = 7 + y. Suppose -5*m = -2*a - 9, 4*a - o = -m + 3. Which is smaller: 3\/2 or a?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*a + 2 = -3*a, 2*t + 4*a - 2 = 0. Let z be (-146)\/42 - (252\/27)\/(-7). Is z bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122712180.\nAnswer: 2, 3, 5, 41, 83, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6823 is divided by 195.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/11 + (-785106)\/(-18414)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**3 - 2*t**3 + 4*t**3)*(-2*t + 2*t + 2*t) + (-3*t**2 + 3*t**2 + 2*t**2)*(-30*t + 30*t - 16*t**2).\nAnswer: -36*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 34 + (17 - 22) - 2*2. Solve -11*a - 3 + h = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6095 - -6102. Put -59, 0.1, q in decreasing order.\nAnswer: q, 0.1, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1326890, 1326888, 1326886?\nAnswer: 1326884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 209.81 - 211. Let b = t + -2.81. What is the nearest to 1 in 1\/9, b, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 89 - 85. Suppose -2*r - 29 + 369 = b, c*r = -5*b + 1700. What is the highest common factor of b and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-15)*-1*11799\/(2553\/37)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*d - 7. Suppose 2*f = -2*w + 18, 3*w + d = 2*f - 0*w. Suppose b - 4*x = 13, 2*b - x - f = -3*x. Solve 3*j - b*m = -j + 30, 5*j = -2*m + 21 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x = -x + 2*g - 40, 2312*x + 5*g - 100 = 2260*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from owwouuowuouoouu.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, b: 1, j: 1, f: 1, k: 1}. Give prob of sequence dk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, e: 3, m: 2, c: 1, i: 2, z: 3}. What is prob of picking 1 c, 1 m, 1 i, and 1 e?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56523*p**3 - 6 + 3*p - 2*p**2 - 3*p**4 - 2*p**4 + 56524*p**3 + 0*p to the form y + d*p**2 + j*p**4 + g*p**3 + w*p and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -60209722.11 to the nearest 1000.\nAnswer: -60210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*(1*sqrt(2057) + sqrt(2057))*2 + -4 + (sqrt(2057) + 2)*5 + sqrt(2057) + 2 + -5)**2.\nAnswer: 88*sqrt(17) + 8232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 393009311 to the nearest integer?\nAnswer: 19824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-669.\nAnswer: -334.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f - 2. Let p be q(4). Suppose -6 = -2*w + 8. What is the remainder when (p\/2)\/((-3)\/(-12)) is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i**2 - 7*i + 3. Let n(u) be the second derivative of -3*u**4\/4 + 7*u**3\/3 - 5*u**2\/2 - 484*u. Calculate -3*n(s) - 5*p(s).\nAnswer: 2*s**2 - 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 53*u**2 - 560*u + 9. Determine o(-11).\nAnswer: 1087","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 0.90746?\nAnswer: -7.25968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**3 + 76*m**2 + 7*m + 262. Let n be w(-38). Which is the smallest value? (a) -24 (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 32 = -2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4 + -1. Let f = v + -3.9. What is f rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18123 and 3.\nAnswer: 18123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**2 + 80*x + 78. Let q be o(-15). Solve -24*a = -21*a - q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2889 - -2906. Let t(p) = -2 + p**3 - p + 2 + p**2 + 2*p**2. Let h be t(3). What is the greatest common factor of d and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 14*w. Let x(p) = -1145870*p**2 - 1 + 1 + 1145887*p**2. What is z(x(k))?\nAnswer: -289*k**4 + 238*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 774476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1224, 880, -782, -4422, -10700, -20276, -33810, -51962?\nAnswer: -75392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3777*v**3 + 7638*v**3 - 3803*v**3.\nAnswer: 58*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k. Let g(y) = -y**3 - 8*y**2 + 7*y - 4. Let t be g(-9). Let w(n) = 3504 - 3504 - t*n. Give w(q(z)).\nAnswer: -56*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16, -61, -138, -247, -388, -561, -766?\n\"Answer: -16*m**2 + 3*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73498 a multiple of 396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 908096807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*q - 22*q - 24*q + 148 - 20*q - 13*q to the form u + k*q and give u.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 44. Solve 0 = k*h - 4*h - 4, -i - 3*h = 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**2 + 2*n + 10. Let i be l(5). Suppose 0 = 4*q + 15 - i. Calculate the greatest common factor of q and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 544, 1078, 1804, 2818, 4216, 6094, 8548?\nAnswer: 11674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89618839 to the power of 1\/3, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17376 and 8.\nAnswer: 17376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/(-203)*((-6)\/16)\/(((-14)\/8)\/7)\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mg when two letters picked without replacement from fgggkkgfmgymy?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(-5 - (-763)\/(-28)). What is the highest common divisor of c and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 3*y + 18. Let f(c) = 2*c - c - 6*c - 3 - c**2 - 2. What is f(y)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9454252364 take away -5?\nAnswer: -9454252359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 133682, 133683, 133684, 133685, 133686?\n\"Answer: d + 133681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a + a - a + 0*a.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**4 + 26*i**3 - 36*i**2 - 104*i + 112 = 0.\nAnswer: -14, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -0.17, 20, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*n + 44305 - 47475 = 0 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30349*w - 3 + 0 + 9218*w + 12589*w to the form h + l*w and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(4*n**3 - 2*n**3 - n**3) + 541*n**3 - 549*n**3 - 2 + 23.\nAnswer: -9*n**3 + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 0. Let g = -5 + 8. Suppose -z = -t + g. Calculate the highest common factor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 414998?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 599 = -4771. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 11*s**2 + s + 5. Is h(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85906659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1636068 is divided by 470.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -10\/327, -548?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 13895.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-4)\/(16\/(-17398)). Let k = t - 4699. What is k rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 9:25 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**2\/7 + 6867746*r\/7 + 6867744\/7 = 0.\nAnswer: -3433872, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*w + 5*g, 0 = 10*w - 6*w + 2*g - 8. Solve 3*k = -9, w*p + 0*p = 4*k + 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*r - 306*r + 5*w + 11 = 0, 4*r = 3*w + 43 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 747 - 743.81. Let o = 0.19 - z. What is the second biggest value in 2, o, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/((-3)\/15)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t + 3 - 4 + 1 to s + d*t and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 - 54.8. Which is the third smallest value? (a) z (b) -0.07 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.59 + -0.09. Let p = k - 17.5. Let q = p - -16. What is the smallest value in -1\/6, q, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from ruwwuiuuzuzzrrdudrz.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -61 in -3, 0.4, 1\/4, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 2769, -4, -3, 3, 1 in decreasing order.\nAnswer: 2769, 3, 1, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by -39853.\nAnswer: 34\/39853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - -2. Suppose m - 4 = 4*m - 2*h, -2*m = 3*h - a. Suppose 5 = v + 3*i, 1 = 3*i - m*i. Solve 0 = -2*l - v*l - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1.2 (b) 11\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 4*m + 4*m)*((0 + 5 - 1)*(m**2 + 4*m**2 - 3*m**2) + 2*m**2 + m - m).\nAnswer: -10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 2. Let s be (-1)\/((-14)\/3 - -5). Determine u(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76600 is divided by 15309.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -14*j**2 - 18*j + 9. Let i(y) = 7*y**2 + 9*y - 5. What is -5*i(v) - 3*u(v)?\nAnswer: 7*v**2 + 9*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71 (base 9) to base 15.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 3 - 2 - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7443513 - 7443520.000006. Let d = -7 - m. What is d rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.023, 2024 in decreasing order.\nAnswer: 2024, 0.3, 0.023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + -7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 1. Let f = 119 - 114. Let i(b) = 14*b - 19*b + 10*b - f - b**3. Calculate -5*h(s) - i(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336892838.\nAnswer: 2, 19, 8865601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107.2 + 12.8. Let j = 120.5 - t. Which is the nearest to 1? (a) -6 (b) -0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 80 + f1a?\nAnswer: f9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.23 + -0.13. What is the closest to z in 5, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 2:12 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.039 - 51586\nAnswer: -51586.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 156.819 days in seconds?\nAnswer: 13549161.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(55)\/(sqrt(25)\/sqrt(5) + sqrt(5) - sqrt(5)))**2 - (sqrt(11)*2 - sqrt(11))*-5) + -1).\nAnswer: -30*sqrt(11) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 228444116 a multiple of 277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 5\/8, 17 in decreasing order.\nAnswer: 17, 5\/8, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-764)\/28 - -1) + (-6)\/(-21). Suppose -j = 0, 2*j = 2*a - 3*a - 24. Which is smaller: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 812 and 273.\nAnswer: 31668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25791708 is divided by 49695?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -5*s**2\/2 + 6*s - 15. Suppose 0 = -16786*m + 16797*m - 88. Let h(c) = -14*c + 17. What is m*a(j) - 3*h(j)?\nAnswer: 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1097*k + 807*k + 6670 = 0 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3036 = 5*q, -4 - 8 = 3*q. Let w = n - 539. Suppose 0 = 4*a - w - 105. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 0 + sqrt(68))*-3*-5 + 5*(5 + sqrt(68)) + 3 + sqrt(68)*5)**2.\nAnswer: -1700*sqrt(17) + 42789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p + 5 = i, -2*p = 5*i - 11. Suppose -12 = 4*t + c + i*c, 5*c + 15 = 0. Suppose -5*l = q - 473, t = -4*l - 5*q + 79 + 291. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 4*s + 17 + 5, -4*s - 20 = 2*o. Let g be 14\/o*1*6. What is the remainder when 1 is divided by (-4)\/g + 5\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129346145 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 12380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/786212, 6, 1?\nAnswer: -3\/786212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = o - 4, 4 = 2*o - 4. Suppose s = -3*b + 3 + 6. Suppose -14 = -5*z - b*j, -4*j + 30 = 5*z - 9*j. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -38*m**2 + 1082*m + 5672. Calculate a(33).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.6870931 nanograms?\nAnswer: 0.0000000006870931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -208143*r*t - 170955*t + 2 wrt r?\nAnswer: -208143*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 2*d - 2. Let o = 56 + -88. Let t be (o\/40)\/(2\/(-5)). What is v(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -10*g - 38. Let h be m(-10). Suppose -h*d + 64*d = 142. What is the remainder when d is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2069)\/335178)\/(2\/(-12))?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 0*y**4 - 18*y + 0 + 6*y**5 - y**2 + 0*y**3 - 1\/420*y**8 - 11\/10*y**6 - 8\/75*y**7. Factor u(c).\nAnswer: -4*c**2*(c - 2)*(c + 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -d, 5*d - 278 = -2*j - 148 - 155 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2570, -5144, -7722, -10304, -12890?\nAnswer: -15480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1848 and 13272.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1566531 (base 7) to base 9.\nAnswer: 362543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3679811.\nAnswer: 43, 85577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68674117.\nAnswer: 29, 83, 103, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 - 195*r**2\/2 + 478*r - 570.\nAnswer: (r - 190)*(r - 3)*(r - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 4066\/1100) + 85482\/52239?\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4894930.\nAnswer: 2, 5, 489493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8547413 is divided by 35.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1325?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/4)\/((-2)\/(-12)). Calculate the smallest common multiple of 202\/10 + k\/30 and 4\/(-10) - (-224)\/10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -0.4, -2, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*w**2 + 1159 + 1151 - 2310.\nAnswer: -51*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -0.7 (c) 4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 88 = -2*g. Let v(m) = -m**2 - 8*m + 11. Let z be v(-9). Suppose 53 + 91 = z*h. What is the highest common factor of g and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 times -0.2?\nAnswer: -30.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w + 21*w + 12 = 0. What is the first derivative of 216*d**w - 69*d**4 - 77*d**4 - 72*d**4 + 141 - 2*d**3 wrt d?\nAnswer: -8*d**3 - 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 755852157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 = -2*a - 78. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n - 4374 = -573. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 13*b**2 + 19*b - 25. Calculate the remainder when k(14) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3366?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**4 - 3*r**3 + 79. Let l(s) = s**4 - s**3 + 1. Let u(f) = b(f) - l(f). Differentiate u(m) wrt m.\nAnswer: -16*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - l - l)*(-12*l + 10*l + 36*l) + (-l + 4*l - 2*l)*(-2*l + 0 + 0) to i*l + m*l**2 + u and give m.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27580 - 30*u + 102*u - 27582 + 307*u)*(-2*u**4 + 2 - 2).\nAnswer: -758*u**5 + 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.482 + 15.182. Which is smaller: 22\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 5*h - 20. Suppose x - 2*x = -h. What is the lowest common multiple of 18 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 6 = -2*k. Let z be k\/(-4)*((-248)\/(-20) - 0). Let p = z - 31. Solve -4*d = -p*d + 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 8:15 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, d: 1, g: 1, f: 1, x: 5}. What is prob of sequence vvdg?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 13, 9, 721 in increasing order.\nAnswer: -3, 1, 9, 13, 721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 + -51. Let q = 34.9 - y. Let j = 990 - 987. Which is the closest to 0.4? (a) q (b) j (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -20. Suppose l + v = 5. Let x(h) = 3*h + 1. Determine x(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3952911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hee when three letters picked without replacement from {n: 2, e: 2, h: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30397 - -30400. Factor -8 - 98\/3*u**i - 238\/3*u**2 + 160\/3*u.\nAnswer: -2*(u + 3)*(7*u - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/9))**(-46)\/(q**(1\/8))**(2\/29) assuming q is positive.\nAnswer: q**(10663\/1044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4495 - 4500. Sort 8\/23, l, 5 in increasing order.\nAnswer: l, 8\/23, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/2058 and 61\/7644.\nAnswer: 53508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.17 and 0.04749327.\nAnswer: -1.12250673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**4\/24 - 2*x**3\/3 + x**2. What is the units digit of r(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 123 + -220. Suppose -r + 137 = -5*j - 77, -4*j - 160 = 2*r. Let l = j - z. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 20*m**2. Let a(i) = 5*i - 3. Suppose -25 = 3*z + 4*w, 0 = z - 5*w - 4 - 13. Let j(k) = -k + 1. Let o(y) = z*j(y) - a(y). Calculate x(o(f)).\nAnswer: 80*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*p - 51 = -140, 5*u = 2*p - 427. Let a = u + 83. Which is greater: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -25*g + 38. Calculate j(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71587218*h**3 + 66625*h**2 + 393 wrt h.\nAnswer: -429523308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16432537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 35*l**2 + 7*l - 5. Let y(g) = g**2 - g. Let s(t) = i(t) + 5*y(t). What is the tens digit of s(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 2. Let f(v) be the first derivative of -v**2\/2 - 2*v + 3953. Give -4*a(t) + 6*f(t).\nAnswer: -2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + 5)*3*1)**2.\nAnswer: 360*sqrt(13) + 2097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-6 - (-1 + -4 + 4) - -21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**(-6\/11)*s)*s**(-3\/5)*s)\/(s**2\/s**(-3\/5))*(s**4\/s*s**(-2\/3))\/((s\/(s\/(s*s*s**(2\/5)))*s)\/(s\/s**(-3)*s)) assuming s is positive.\nAnswer: s**(541\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001829644 rounded to seven dps?\nAnswer: -0.0000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -57242, -114333, -171424, -228515, -285606, -342697?\n\"Answer: -57091*k - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and (-4 + (-50)\/(-35))*(2 + -9)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 5\/6 (b) 4 (c) -4 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2601303304?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 72*o**2 - 202*o + 347. Let z be g(-69). Solve 0 = 5*d - 2*p - z*p + 4, p = -5*d + 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 48712039.11?\nAnswer: -48712044.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*1 - (-84)\/(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4174 = 5*y, -5*y + 1642 = 3*i - 2516. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 1. Let n(b) = 4*b**2 + 20*b**2 - 3*b + 7*b - 31*b**2 + 9 - 2*b. Give -n(y) + 6*q(y).\nAnswer: y**2 - 2*y - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-14) + (-66)\/56. Let t = 11636\/11 + -1057. Let j = -1 + t. What is the smallest value in p, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104 + 2. Let a be 16 + -1 + (-8)\/(5 + 3). Let p = v + a. Is p a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 23 = -3*z, -m - z = -3797. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {t: 2, x: 3, u: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qahqqzhazzqbzzhqbqqq. What is prob of sequence abza?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3214961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 57313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5325 divided by -1065?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3660.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 182*g + 973 - 5887. Suppose -266 = -j - 2*f, -5*j = -j + f - 1078. Calculate the greatest common factor of g and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/6 - (20\/15 - 2). What is h in -1\/6*h**2 + 1\/6*h + 1\/6*h**4 + 0 - u*h**3 + 1\/3*h**5 = 0?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, -521, 0.4, 7 in increasing order.\nAnswer: -521, -5\/2, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 23 = -1745*v + 1753*v - 41, 2*k + 2 = -4*v - 106 for k.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -340, -1349, -3030, -5383, -8408, -12105?\nAnswer: -16474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 891.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 782702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -2. Suppose 88 = 4*j - 4. Suppose 5*u + f - j = 0. Solve -u*d + 6 = -5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 8*c**2 + 11*c + 151. Calculate the remainder when 107 is divided by w(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -11446437.\nAnswer: 1\/3815479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 0.01081.\nAnswer: -0.04324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-one halves of a gram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9922 - 5780. Let x = -17927563\/8 + 2236798. Let u = p + x. Calculate the common denominator of 0 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c - 83. What is t(0)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/(-35))\/3*1*357\/34?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56394 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (468\/930)\/(21216\/8160)?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/63*3\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -424421?\nAnswer: -424422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 14*g + 5. Let q(b) = 77*b + 28. Suppose f - 2*x + 15 = 0, -2*f + 7*x - 8*x - 5 = 0. Calculate f*q(v) + 28*w(v).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-12))\/((-2)\/(-4)*1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2139, 23412, 81169, 193656, 379119, 655804, 1041957, 1555824?\nAnswer: 2215651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.63027 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 7:52 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 + -38. Solve -2*h = -s*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1472.351+-0.5\nAnswer: -1472.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 228934?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -2206 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 48 = -2*k + 4*k, k + 44 = 4*i. What is the remainder when 136 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*(sqrt(38)\/sqrt(2)*5 + sqrt(19)).\nAnswer: 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 195450*w**4 - 263450*w wrt w?\nAnswer: 2345400*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -14*g + 49. Determine u(-7).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71.65 - 71.55. Let l(s) = -s - 3. Let d be l(-3). Which is the closest to i? (a) d (b) 133 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 7 = -4*z. Find the third derivative of -z*h**2 + 19*h**3 + 101*h - 101*h wrt h.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 + 0.09. Let i = m - 0.06. Let p be (12\/15 - 1)*2. Put 0.4, i, p in ascending order.\nAnswer: p, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1367567 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 8200 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -2 - ((-40)\/(-12))\/(-5). Suppose 9 = 4*t - t. Solve 0*x + 0*x**2 + g*x**t + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -2\/5, 0.003, -54\/17, 0.13, -6, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13379 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 411 and 797751?\nAnswer: 797751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 463*v + 466*v = 154, v = 2*h + 318. Which is smaller: h or 0.011?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 19357 (b) -5 (c) 1\/2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 2, n: 2, p: 1, w: 2}. What is prob of picking 2 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y. Let m(t) be the second derivative of 37*t**4\/12 - 35*t. Calculate b(m(z)).\nAnswer: -37*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000440749 to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 309*v**4 - 2*v - 1231?\nAnswer: 1236*v**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34321 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1225 = -25*g - 1000 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 74 = 147. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqssqqsssdqqqsu. What is prob of picking 1 s and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 595013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -474437, -474464, -474491?\nAnswer: -474518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145 (base 11) to base 5.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccscr. What is prob of picking 3 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22153491 divided by -2627.\nAnswer: -8433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 8.3. Let p = 9.44 + 0.56. Let z = -10.3 + p. Which is the third smallest value? (a) z (b) -0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-10)\/(y**(-20)*y))\/(y**(1\/35)*y**(-27)) assuming y is positive.\nAnswer: y**(1259\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 50*a - 50. Let n be d(3). Let x(m) = n + 4*m**2 - 49 - 53. Let w(p) = p**2 - 1. What is 4*w(v) - 2*x(v)?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -961136\/17 + 56568. Which is bigger: w or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 911 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 15. Let o(q) = -7*q**2 - 9. Let u(v) = -v**2 - v. Let t(i) = -o(i) + 6*u(i). What is the units digit of t(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t - 45. Let j be -4 + (-594)\/(-30) + 1\/5. Does 9 divide c(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43121732.\nAnswer: 2, 10780433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1353, -1464, -1575, -1686, -1797, -1908?\nAnswer: -2019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 2:28 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**3\/15 + 6*d**2 + 2*d\/15 - 6 = 0.\nAnswer: -1, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + 2\/5 + 276\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46bd6 (base 15) to base 9.\nAnswer: 373203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 0*f + 12 = -3*y, 3*y - 205 = 8*f - 293 + 116 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 3*s - 1. Let f be v(3). Suppose 0 = k + 4*u + 117 - 60, 2*k = 2*u - 14. Which is the closest to -1? (a) 3 (b) k (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-68)\/(-8) + 2\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 + -68 - (-4 - (-3 - -1) - -22).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**6\/6 + 5*n**4\/2 - 281*n**3\/3 + 341. Find the third derivative of r(t) wrt t.\nAnswer: -60*t**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*c)*(-2 - 2*c + 2)*(-389 + 55 + 34).\nAnswer: 1200*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 100, 183, 298, 445, 624?\nAnswer: 835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**4\/4 + 16*w**3\/3 + 19*w**2\/2 - 37*w + 847. Determine i(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/1)\/(1\/11617). Let t = b + 26383. What is t rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*l + 6. Let u(x) = x**3 + 7*x**2 - 9*x - 3. Let a be u(-8). Suppose -a*r = -r - 20. Solve -r*y = -12 - l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 318961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 19*y**2 - 136*y + 626. Calculate j(15).\nAnswer: -514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-42)*w)*w)\/(w*w\/w**(-8)*w))**(-30) assuming w is positive.\nAnswer: w**(-960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -39. Suppose -2*v - 14 = -4*c, v - 4*v = -4*c + 11. Let t be ((36 - v) + 0)*1. What is the greatest common factor of t and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 712759049 to the nearest integer?\nAnswer: 26698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -3. Let f(r) = 9*r - 4*r - z*r. Let v(u) = 5*u**2. Determine v(f(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 i when three letters picked without replacement from {i: 14, l: 4}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, u: 2}. Give prob of sequence mm.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + f + 1. Let l(n) = n**3 - 3*n**2 - 8*n - 4. Let z(i) = -6*g(i) - l(i). Let q be z(-4). Let a be 8*1*11\/4. Solve a - q = 4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -28, 31, -1, 2, 5 in increasing order.\nAnswer: -28, -1, 2, 4, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bibt when four letters picked without replacement from titiqbcbbbi?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/19 in -3, 157, 0.4, -4, -24?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3547424 is divided by 236492?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/88 and 32\/146839.\nAnswer: 1174712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.9 - -3.1. Let a = 0.03 + 0.97. Let m = a + k. Sort 5, m, -4 in decreasing order.\nAnswer: 5, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvnvakvvknvngnng. Give prob of picking 2 g.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8969452 divided by -2.\nAnswer: 4484726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 636 in 0, 57, -8, -0.5?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37159, 74185, 111211?\n\"Answer: 37026*w + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1655359467?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9888 rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 23599?\nAnswer: -11799.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -20790433 bigger than -20790435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*sqrt(833) + sqrt(833).\nAnswer: -28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5908 = 2*g + s, 14793 = 5*g + s. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 194911, 779733, 1754435, 3119017, 4873479, 7017821?\n\"Answer: 194940*u**2 + 2*u - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 - 34. Let c = s - 23. Solve 2*j + 0 - 8 = c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 17*n - 14*n + 24*n**2 - 2 + 2*n - 8*n to u*n**2 + r*n + l and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 1558.8 and -1224.387437.\nAnswer: 334.412563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 4\/3*v**2 + 8\/3*v**4 - 10\/3*v**3 - 2\/3*v**5 + 0 + 0*v = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**6\/180 + r**5\/120 + r**3\/3 + r**2. Let z(o) be the first derivative of n(o). What is the second derivative of z(x) wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + v + 16, -4*c - 115*v = -116*v - 28 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000052 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 - 19*s. Let z be k(-8). Calculate the smallest common multiple of ((6\/(-4))\/3)\/((-3)\/z) and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**3*q**3 + 4*m**3*q**2 + m**3*q - 7576*m**3 + 10*m**2*q**2 + 7356*m**2*q + 2*m**2 + 2*m*q**3 - 3*m*q wrt m?\nAnswer: 6*q**3 + 24*q**2 + 6*q - 45456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/25)\/p**(-2)*(p**(-1))**4 assuming p is positive.\nAnswer: p**(-48\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24305457*y*z - 3*y + 6353094*z + 6 with respect to y.\nAnswer: 24305457*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5637, 5656, 5675, 5694?\nAnswer: 5713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/7, -0.067, -4, -0.03, 10 in ascending order.\nAnswer: -4, -2\/7, -0.067, -0.03, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 + 5*j**2 - 1 - 4*j**2 - 3*j. Calculate m(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22688420 rounded to the nearest 10000?\nAnswer: 22690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/864*9*7\/(-252)*-12?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.5267 - -0.0733. Which is greater: 2\/9 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -168*j**2 + 30*j**2 - 74*j**2 + j**2 in the form a + q*j**2 + b*j and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -49, -47, -45, -43, -41?\n\"Answer: 2*i - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -157772 - 1.1\nAnswer: -157773.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 20?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15091, -15043, -15079, -15199?\n\"Answer: -42*p**2 + 174*p - 15223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h - 3. Let w be q(3). Let c(p) = 2*p**3 - 4*p**2 + 4*p. Let i(j) = j**3 - 3*j**2 + 3*j. Determine w*c(g) - 4*i(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1, -7, -13?\n\"Answer: -6*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*b + 53*b - 104*b.\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 140 - 100. Let g = 49 - t. What is the highest common divisor of 12 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2. Let m(s) be the second derivative of 17*s**5\/60 + 7*s**2\/2 - 6*s. Let p(q) be the first derivative of m(q). What is g(p(y))?\nAnswer: 289*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138725.\nAnswer: 5, 31, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1820017 and 12807?\nAnswer: 16380153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(300) + 3 - sqrt(300)) + 5 - (sqrt(300) - (sqrt(300) + 2))*5))**2*-1.\nAnswer: -5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o**2 - 7*o - 13. What is the remainder when g(-3) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2. Let h(g) = 7*g**2 + g. Let l(o) = h(o) + 5*x(o). What is l(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a + 10. Let z be g(12). Which is smaller: z or -24?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 85, -8, 1\/7, 5, -17\/4, -2\/3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 - 44.9599?\nAnswer: 103.0401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.03751321096301 + -0.04\nAnswer: -0.00248678903699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/23 in 3, 37, 1\/2, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*g**2 - 42*g**2 - 118*g**3)*(4*g**2 - g**2 - 2*g**2) + 2*g**2 - 3*g**5 - 2*g**2.\nAnswer: -121*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 9306 - 9346 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 + 8. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, v: 4, k: 5}. Give prob of sequence xvkv.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 0. Suppose -d*k + k = -90. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2912 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -536 = -4*c + 2*f, c - 9*f = -4*f + 125. Let x = 221 - c. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-2 - 1 - (17 + -17)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 h, and 1 e when three letters picked without replacement from {h: 3, n: 2, e: 2, r: 2, k: 4, s: 2}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0923 - 0.4077. What is the fourth biggest value in 2, n, 0.2, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*f + 2*m = -402, 4*f + 3*m + 401 = 0. What are the prime factors of (-1)\/(-1 + 2)*(-10 + f)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0186250889 rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63.61 + 11.69. Let b = y + -75. What is the closest to -1 in 6, -2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*f**3 - 27*f**3 - 42*f**3 - 23*f**3 + 174*f**3 - 25*f**3 - 44*f**3.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109 - 109. Solve l = -3*v - v - 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 5*c - 55. Let f be s(-5). Let t be (f - 135\/(-25))*10. What is n in 8\/9*n**2 + 1\/9*n - 2\/9 - 2\/3*n**t - 1\/9*n**3 = 0?\nAnswer: -1, -2\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 7\/1174, -50?\nAnswer: 7\/1174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -195 - 1138 + 3*n**2 - 839 - 131 to the form f + h*n + j*n**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001484263661 to 7 decimal places.\nAnswer: -0.0014843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + ((sqrt(242) + 1)**2 + sqrt(242))*-2 - sqrt(242))*3 + 5*(sqrt(242) + 0 + sqrt(242))**2 + 5)*-6.\nAnswer: -20322 + 1188*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 0*d**2 + 0*d**6 + 65*d + 19\/14*d**7 + 1\/6*d**3 - 1\/3*d**4 + 0 + 0*d**5. Find the third derivative of m(q) wrt q.\nAnswer: 3420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -59*l**2 - 3*l + 4. Let u(s) = 113*s**2 + 6*s - 7. Let i(y) = -9*f(y) - 5*u(y). What is i(-1)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5791, 5257, 4723, 4189, 3655, 3121?\n\"Answer: -534*l + 6325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, -159, -979, -2593, -5265, -9259, -14839?\nAnswer: -22269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a + 627. Let p(h) = -38*h**2. Determine o(p(d)).\nAnswer: 76*d**2 + 627","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 155*k**2 - 7*k - 79. Is v(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1990422 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*s + 106, -4*s - c - 94 + 239 = 0. Suppose -3*x + s = x. Suppose -4*b - 4 = 4*k, 6*b - 4*b + x = 5*k. Sort 2, k, 4 in increasing order.\nAnswer: k, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 218, 1029, 2380, 4271, 6702, 9673, 13184?\nAnswer: 17235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1458 divided by 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2860 divided by 572\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 546*m**2. Let t(i) be the first derivative of -2*i**3\/3 + 12177. Determine t(r(p)).\nAnswer: -596232*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, -4, 2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3 = -19. Let p = -204 - -208. Solve -i*m + p*m + 12 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 4*v + 2. Let y be n(-4). Suppose -y*p - 4 = -4*u + 62, -3*u + 50 = -p. Calculate the remainder when 48 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from pdmpm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2024 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 e, and 1 m when three letters picked without replacement from jviaiema?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 2*s + 44 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 297122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, a: 3}. What is prob of sequence akak?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2*c - 24, -12 = -0*s + s + 5*c. Suppose 4*n + 8 = s*n. Suppose n*m + 32 - 52 = 0. Solve m = -4*t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465067399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 - (98 - 100).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4830 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 + -1.94. Let j = 3 + -1. Suppose j*s + 2*s - 8 = 0. Which is the biggest value? (a) -5 (b) s (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1036 + 20?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1694746 by -12.\nAnswer: -847373\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 2*i + 2. Let g be p(2). Let y(f) = f + 8. Let t be y(g). Suppose -h - t = 2. Put 1, -3, h in increasing order.\nAnswer: h, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -15*d**2 + 11. Let k(j) = 7*j**2 - 5. Suppose 9 = p - 3*u - 2, 0 = -4*p + 3*u - 1. Let x(m) = -3*m. Let n be x(3). Calculate n*k(c) + p*w(c).\nAnswer: -3*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + b - 3 = d, 0 = 2*d + 4*b - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63151457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 24727473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-60)\/(-8))\/(1\/2). Let y = 3 + l. Let h = -16 + y. Solve -3*k + h*k + 2 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 2:04 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*x = -8848. Let p = x + -1867. Let j = p + 1634. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -803.0151*0.2.\nAnswer: -160.60302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 8 = 5*w - 4*m, -174*w + 179*w = 4*m + 14 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 61504 (base 7) to base 9\nAnswer: 22514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, f: 1, g: 1, o: 3}. Give prob of picking 1 g and 2 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p - 23. Suppose 0 = 4*t + 8, -70 = -2*u + 7*u + 5*t. Let r be d(u). What is the second smallest value in 1\/10, 2\/7, r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 749761016.\nAnswer: 2, 93720127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -145.4746 - -145.5. What is d rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 + 42.9. Let p = s + -4. Let a be ((-16)\/(-14))\/(-1 - 1). What is the closest to p in -0.5, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2136936, 2136930, 2136924, 2136918, 2136912?\n\"Answer: -6*v + 2136942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -2.98, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssvwswwwwwsvwww. What is prob of sequence wsww?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p + 4. Let m be o(-4). Let u be (-74)\/m - (-18)\/(-12). Calculate the highest common factor of 17 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from occbcjjcccnojcbjoox. What is prob of picking 2 o?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 6*v**2 + 63*v - 462. Let z be p(5). Let q be (1\/(-2))\/(1\/(-4)). Determine n, given that 3\/2*n**4 + 0 - 9\/2*n**q + z*n + 0*n**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**4\/8 + 4*n**3 - n**2. Let r(p) = 2*p**3 + 14*p**2 - 14*p + 24. Let x be r(-8). Let d be s(x). Solve d + 2 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2\/11 + 6328*y + 139208\/11 = 0. Calculate y.\nAnswer: -34802, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -218, -486, -862?\nAnswer: -1346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*x + 47, 3*v - 4 - 17 = 0. Solve -5*n - 34 = -4*i + x, 5*i - 41 = 4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k + 5. Let c be z(0). Suppose -p + c = 5*q, 0 = -q - 0*q. Suppose 2*u - 49 = -p*i + u, u = -4*i + 39. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*m = 198702. Is 3\/(-2) - m\/42 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(-99)*405\/(-15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8872937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1735 - 173*w**4 - 238*w**4 - 714*w**4 + 72*w**4 wrt w?\nAnswer: -4212*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10 - -11)*(-2 - -4). Let g be (867\/b + 1)\/(155\/310). Calculate the greatest common divisor of g and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**6\/360 - b**5\/40 - b**4\/6 - 2*b**3\/3 + 2*b**2. Let j(i) be the first derivative of o(i). Let n = -15 + 11. What is j(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 30*(3 + 110\/(-30))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1213848 - -5?\nAnswer: 1213853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1050 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x - 2*x**2)*(30 + 4 - 6).\nAnswer: -56*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 73298 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 259.\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5 = 2, 4*c = a + 12. Solve a = 4*m + l + 4, -4*m = 14*l - 18*l + 24 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 0*o = -20. What are the prime factors of (-131)\/o + (-16)\/(-64)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 3*l = -44 + 17, r - 21 = -4*l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*r - 19*r + 25*r)*(-10*r - 9 + 7*r + 5*r).\nAnswer: -12*r**2 + 54*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17026*(-2)\/10)\/(8\/20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138732?\nAnswer: 2, 3, 11, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*f**3 + 6*f**3 + 30*f**3)*(-4 + 1 + 5) + (f - f - 2*f)*(0*f**2 - 3*f**2 + 4*f**2).\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d. Suppose 2*h = h - 71. Let u = -71 - h. Let b(l) = u*l**2 - 3*l**2 + 3*l**2 + 8*l**2. Calculate f(b(g)).\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2912 and 96.\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, p: 2, d: 4, o: 4}. What is prob of sequence qp?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.5651 - 1.46589. What is x rounded to three dps?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1258583 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 10.48, 0, 1, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - v**2 + 4*v - 10. Let d be c(2). Let a = -4 - -8. Is a at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13714*y + 37948 wrt y.\nAnswer: -13714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 2*o**5\/5 + 9*o**4\/2 - 322*o**3\/3 + 471. Find the third derivative of j(l) wrt l.\nAnswer: 48*l + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11639 and 1339.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + (-166)\/(-4))*(13 - 11). Suppose -17 = -10*h + k. Suppose 0 = -z + 8 + h. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1149540\/368)\/105 - 17\nAnswer: 51\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*v - 12*v - 80*v as z*v + g and give z.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1129?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (29\/(-1))\/(34\/51*60\/(-10))\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1717 less than 35137399?\nAnswer: 35135682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 476285366 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*u = 116*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, h: 3, n: 5, g: 1}. What is prob of sequence xhnh?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 0.7 (b) 1 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/31))**44)**(9\/11) assuming u is positive.\nAnswer: u**(-72\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 3)*(-232*u**2 - 24*u**3 + 232*u**2 + (0 - u**2 + 0)*(-1 + 1 - 2*u) + u**3 + u**3 - u**3)*(1 + 4 - 3).\nAnswer: 126*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 9:40 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -25*i**2 + 88*i - 24. Give p(5).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 8*i**2 + 6*i + 5. Let s = -19509 + 19514. Let p(f) be the third derivative of -f**5\/60 - f**4\/24 - f**3\/6 - f**2. Determine s*p(q) + t(q).\nAnswer: 3*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*l + 3 - 9*l - 7*l**2 - 13*l - l**3 + 36*l in the form s*l**3 + c + m*l**2 + h*l and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**8\/336 + 2*a**7\/105 + a**4\/12 + 5*a**3\/6 + 17*a**2. Find the second derivative of k(h) wrt h.\nAnswer: -20*h**3 + 48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 15*g + 2. Is z(-11) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-88)\/(-6) - (-144)\/(-54). Solve -70 - 14 = -t*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64*s**3 - 6*s - 64*s**3 + 127*s**3 wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 48.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167824, 335652, 503480, 671308, 839136?\nAnswer: 1006964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 11*n**2. Let o(g) be the first derivative of -68 + 0*g + 5\/2*g**2. Determine u(o(s)).\nAnswer: 275*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1 = d - 4*v, 0 = 3*d + 2*v - 13. Suppose 0 = d*b - g - 280 + 33, g + 85 = b. Let x = b - 58. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -23*l + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 l when two letters picked without replacement from zzlcqpt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 40911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*m = 246, 9*m = -3*l + 5*m + 197. Let r be 40 - -2*(2 + -1). What is the greatest common divisor of l and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 3*f**2 + 1. Let v be w(2). Let s(p) be the first derivative of -p**2 - 2*p - 7. Let y(t) = t + 2*t - 1 + 5. Calculate v*y(z) - 5*s(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*n, -24*w + 19*w + 582 = -2*n. Calculate the greatest common factor of w and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 16. Let q = 39 - 33. Let i be k(q). What is the common denominator of 6\/(-15) - (-149)\/i and 55\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 1 = -3*b, -z = -4 - 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 3, 31951, 0, -2\/5, 5, 0.5 in ascending order.\nAnswer: -2\/5, 0, 0.5, 3\/4, 3, 5, 31951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7110301\/54 + 131676. Let l = h - 7\/27. What is the common denominator of (73\/(-4))\/((-9)\/2) and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17128896 to the nearest integer?\nAnswer: 4139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(9\/(-3)))\/((15\/(-120))\/(1\/(-852)))?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxsllsxqcxxlxxx. Give prob of sequence xcls.\nAnswer: 11\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*u**2 + 3 - u**3 - 8 - 4*u**3 + 340*u**2.\nAnswer: -5*u**3 + 286*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.28137974635 + 0.28138. Round f to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2299*a**3 + 173*a**2 + 3*a - a - 2301*a**3.\nAnswer: -2*a**3 + 173*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*x + x - x)*(2*x + 2*x - 2*x) - x + 2*x**2 + x - 8 + 5*x**2 + 8)*(8*x**2 + 17*x**2 - 66*x**3 - 22*x**2).\nAnswer: -198*x**5 + 9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-30)\/4)\/((-201)\/4422). What is the greatest common divisor of 88 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1221595.88 - 1221627.8799897. Let b = -31.83 + -0.17. Let u = b - d. Round u to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 11 = 101. Calculate the greatest common factor of 126 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 14) in base 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/10*6\/4)\/(54\/(-15))\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -3.8. Let l = -462 + 461.8. What is the third biggest value in r, l, -2, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -40. Let y = 40 + k. Suppose -5*w - y - 138 = -2*t, 4*t = 5*w + 283. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 383253*n**2 - 753872*n.\nAnswer: 766506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -865 - -865.5. What is the second biggest value in 28, -0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w - 174008 = -20*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 p when three letters picked without replacement from {a: 2, s: 8, p: 3, i: 2, r: 2}?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2323 + -1032?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-55)\/(-2)*(-3 + 6 - -1). Solve -f*n + 104*n - 6 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 513*a - 378*a - 67*a - 61*a.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -516386 divided by -3\nAnswer: 516386\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 1, -4, 4 in decreasing order.\nAnswer: 4, 1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 10*k**3 + 7*k**2 - 7*k + 1. Let a be 30\/6 - (-38)\/(-2). Let z(b) = -b**3 - b**2 + b. Determine a*z(i) - 2*o(i).\nAnswer: -6*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38991\/35 or -1115?\nAnswer: -38991\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007123016992 to 7 dps.\nAnswer: 0.0007123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 34. Suppose -114 + 70 = -4*p. Calculate the remainder when 10\/z*(816\/15)\/(-8) is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296742 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.1, 1\/130857?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -510 divided by 1?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4))**38*(x*(x**(6\/5)\/x)\/x*x)**(-10\/3) assuming x is positive.\nAnswer: x**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398*u - 30 = -3*k + 395*u, 7*k = -3*u + 50 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003132 rounded to five decimal places?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 231*s**2 - s - 462*s**2 + 7*s**3 - 3 + 2*s**3 - 4 + 234*s**2 to the form x*s**3 + d*s + w + h*s**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -430.994 rounded to the nearest ten?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/2*(-1288)\/(-805). Solve v = 4, 4*t - 49*v = -50*v + p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 5 - 1)*(0 - 3 + 1)*(17 - 9 - 29) - 4 + 6 - 1 + (-3 + 1 + 3)*(1 + 3 - 3) + 4 - 4 + 1 - 5 + 3 + 1 - 4 + 3 - 2)*(-5*g - g + 5*g).\nAnswer: -83*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**31\/(b*b**(-3\/8)*b*b**4\/b))\/((b\/(b\/((b\/b**(-2\/5))\/b*b))*b*b**1)\/(b**(2\/9)*b**6)) assuming b is positive.\nAnswer: b**(-649\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 23. Let y = 22 - h. What is the remainder when 34 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1945683, -1945677, -1945661, -1945635, -1945599?\nAnswer: -1945553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(2\/1 + -1). Solve o + 15 = -4*f, 5*o + 6 = -r*f + 3*f for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 1. Let m(g) = 20*g + 26. Let c(i) = 1. Let d(b) = 2*c(b) - m(b). Suppose 0 = t - 5 + 42. Let z = t - -36. What is z*d(s) - 24*o(s)?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**3*x + 397752*w**3 - 6*w**2*x + 2071*w*x + 6432*w wrt w.\nAnswer: 12*w*x + 2386512*w - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i = 4. Suppose i = w - 0*w. Suppose -w - 7 = 4*k. Let c(f) = 2*f**3 + 4*f**2 + 3*f + 2. What is c(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, m: 9}. What is prob of sequence zmm?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i. Let n(h) = -4*h**2 - 3*h + 3. Let g(p) = p**2 + p - 1. Let x(d) = -6*g(d) - 2*n(d). Give x(a(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x + 64 = -0*x. What is the smallest value in 2\/21, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8146811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 350 and 322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2648100091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b. Let l(p) = -688141*p**2 - 2*p. Give t(l(n)).\nAnswer: 1376282*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/19 and (-15)\/(-60) - (-178)\/(-40).\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, f: 1, e: 3, d: 2, k: 2, y: 1}. What is prob of sequence yf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/59 - -53\/354. Let n = -14 - -15. Which is the closest to -1? (a) s (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + 13. Let v = 77 - c. What is the highest common divisor of v and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/123 (b) -3 (c) -0.4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1024 (base 5) to base 2\nAnswer: -10001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100) + 1*(sqrt(100) + (sqrt(100)*-1 - sqrt(100))))\/(sqrt(5)*-1*2))\/(sqrt(196)*-1 + (sqrt(36) - sqrt(252)\/sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10020 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1981 + -1977. Let m(b) = -5*b - 1. Let y be m(-1). What is the greatest common divisor of y and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001589 rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*r = 14 - 44, -35 = -3*g + 4*r. Suppose n - 5*p + 3 = 0, -3*n + 3*p + 4 = 1. Which is the smallest value? (a) n (b) g (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2. Let x(w) be the first derivative of -10*w**2 - 4*w + 10718. What is x(s(k))?\nAnswer: 20*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-7) + 576\/(-840))\/(549\/915)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1139, -1630, -2107, -2564, -2995, -3394, -3755?\nAnswer: -4072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 123.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 10. Let c = 4 + p. Let b be c\/3 + 5 + 0. Solve b*o - r - 16 = -2*r, 5*o = -2*r + 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1655\/45 - 2\/(-9). Let q be o - 2 - -2*(2 + -1). Suppose 0 = 4*x + 25 - q. Solve 0 = x*v + 4*m - 6, 3 - 9 = -2*m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**3\/12 - 3*i**2\/2 - 9*i + 14. Factor g(w).\nAnswer: -(w + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 27 - 3. Suppose -5*q = z, 4*g - q - 68 = -13. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -320*k**5 - 2480*k**4 + 3780*k**3 + 1215*k**2 - 3510*k + 1215 = 0.\nAnswer: -9, -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2)*d**(-2)*(d*d**(-6)*d)\/d*d**(-3) assuming d is positive.\nAnswer: d**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*2*-4)\/(sqrt(432)\/sqrt(6) - sqrt(8)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, v: 1, x: 4, g: 3}. Give prob of sequence xv.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1395.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, v: 3, x: 2}. Give prob of sequence xxvv.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 12:25 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -576110 to the nearest one thousand.\nAnswer: -576000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p. Let t be o(-4). Suppose 0 = t*g - g + 12. Let k(b) = -b. Let w be k(g). Solve -12 = -0*s + w*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7927.967km in millimeters?\nAnswer: 7927967000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253, 1151, 2647, 4741, 7433?\nAnswer: 10723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13407824, 13407821, 13407818, 13407815, 13407812, 13407809?\n\"Answer: -3*a + 13407827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*d - 2*y + 6, -8 = -3*d - 4*y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 5. Let r(f) = f**3 + 9*f**2 + 5*f - 3. Let u be r(-5). Suppose 2*x = -x + u. Solve -8 = z*p - x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001100 (base 2) in base 12?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 943?\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*m - 19. Let w be m\/(-36) - (-4)\/18. Let q be 3*1*8\/12. Which is smaller: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3 + -3*(sqrt(7) + 1)*-1 + -4))**2.\nAnswer: 48*sqrt(7) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144, -397, -814, -1389, -2116, -2989?\nAnswer: -4002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-4)*i)**(-8\/7) assuming i is positive.\nAnswer: i**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**6\/24 - 5*q**5\/2 + 125*q**4\/2 - 2500*q**3\/3 - 27*q**2. Suppose t(n) = 0. What is n?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*m + 23. Suppose -u - 3*r - 72 = -74, 4*u - 4*r = 8. Let y be (2 + 1)\/(6\/4). Solve y*l + m = -u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1248323 is divided by 312060?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8922 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 - 7*v**2 + 10*v - 25. Let b be g(-5). Solve b*h - 232 = 29*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-11)\/(w\/((w*w**(-2\/51))\/w*w))*w*(w*w**(9\/7))\/w*w*w**25)**(7\/10) assuming w is positive.\nAnswer: w**(6157\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21305619?\nAnswer: 3, 789097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2 - 246\/126)*69\/6 and 127\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1503 and 53607.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 101*z - 1763 - 336 - 7496 for z.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 9*w - 212. Let s be t(23). Let a be (s\/(-2))\/((-53)\/(-106)). Let k be 8*(3\/(-2) - -1). Sort k, 3, a, 2 in decreasing order.\nAnswer: a, 3, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - 3*n + n)*(-2*n + 3*n + 0*n)*(-8 + 2 + 0)*(24 + 8 + 10)*(2 + 3 - 6) in the form y*n + p + j*n**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 2. Let w be (1\/(-2) - 1)*-2. Let d be l(w). Differentiate -8 + d - 3*j - 5*j + j wrt j.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15356, -15202, -14882, -14396, -13744?\nAnswer: -12926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 722 - 716. Which is the second smallest value? (a) 5\/3 (b) j (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (204*v - 31*v**2 - 204*v)*(-v**2 + v**2 + 2*v**2) - v**4 - v**4 + 3*v**2 - v**2 to the form c*v**4 + k*v**2 + i*v + r + x*v**3 and give c.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17861, 71799, 161821, 287927, 450117, 648391, 882749?\nAnswer: 1153191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1884*-359.05.\nAnswer: -676450.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -68 (base 13) to base 6\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 - 48. Sort a, -3, 3, -0.3 in increasing order.\nAnswer: -3, -0.3, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**16)\/o)\/((o\/(o*(o\/o**30*o)\/o*o))\/o*o)*o*o*o*o*o**16*o*o**(-45) assuming o is positive.\nAnswer: o**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -4, 47, 10, 6 in increasing order.\nAnswer: -4, -1, 4, 6, 10, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.006 and -0.79.\nAnswer: -0.00474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d (base 14) to base 3.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(3) + -2 + sqrt(3))*2 + (sqrt(432) - sqrt(432)*-2) + 3.\nAnswer: 19 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1235\/95 + 3*3. Solve w*d = b + 19*d + 10, -b = 2*d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-426)\/(-284))\/(45\/(-24)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-6 + 4 + -2)) + -7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13182.025882 + -13182. Let h = n - 0.026. Round h to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ka when two letters picked without replacement from sakksssa.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 3*p + 23*b + 163, -7*b + 11*b + 14 = 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nkgnggwkkyfkk. What is prob of sequence nfyn?\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1035452 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2 + 3*g - 54. What is t(7)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**2 + 28*m**2 - 14*m**2 - 11*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y = 18*y - 54360. What are the prime factors of y?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/83 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -6 + 2. What is the nearest to -1 in 1\/2, 1\/7, r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/5)\/s**(-2)*(s\/(s**(-1\/2)*s))**48 assuming s is positive.\nAnswer: s**(128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**3 + 1018086*y**2 - 2036184*y = 0.\nAnswer: -339364, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/4 - (5 - 0). What is the third biggest value in u, -0.2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5384 and 9886370.\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 688814.3 days to hours.\nAnswer: 16531543.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 1890.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.956 + 0.286. Round k to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/40 of a week?\nAnswer: 45360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**2 + 28*r + 9. What are the prime factors of f(10)?\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3*z**3 - g**3*z + 67437*g*z**3 - 4*z**3 + 790*z + 5585 wrt z?\nAnswer: 6*g**3*z + 404622*g*z - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11307207, -11307205, -11307203, -11307201, -11307199?\n\"Answer: 2*l - 11307209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 21\/(96 + 30) - (-29734)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10299)\/(-2)*(-4 - (-70)\/15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 650 + 2?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1622*t - 110006 = 19754 for t.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or 8\/115?\nAnswer: 8\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7891 and 1075604?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101201 + 0?\nAnswer: -101201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a + 2. Let h be l(-2). Let m be (-1)\/h*0*-1. Suppose -4*d + 300 = -m*d. Round d to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26655944 divided by -26655944?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 112, 135, 154, 169?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 6:31 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2*i - 49 = 0, 13369*z - 13374*z + 257 = -4*i for z.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 136*r**2 + 5*r - 627. Calculate a(136).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from xxxnxrxixxxvxiiiv?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 2603*g + 54211. Calculate y(21).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22327\/5660 - 3\/566. Find the common denominator of 133\/12 and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/2 + 15\/4*q + 3\/4*q**2.\nAnswer: 3*(q + 2)*(q + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10510 and 10?\nAnswer: 10510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one halves of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -17 + 8. Let m be (-24)\/l*45\/(-6). Suppose -2 = 2*k - m. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1728) + sqrt(1728) + sqrt(1728) + 3*(sqrt(192)*2 + sqrt(192)))**2.\nAnswer: 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 26\/8)*4. Let q = h + 7. Suppose 2*g - 6 = 2. Solve -5*x = -0*z - 4*z + 2, 0 = 3*z - g*x - q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddw when four letters picked without replacement from wwwwwwwwwddwwwwwwwwd.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 32. Suppose m = -5*g + 4*h + 41, -g + 5*g - 12 = -2*h. Calculate the remainder when 23 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3577228012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/323, -2\/9, 3\/5?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1043, 1033, 1009, 965, 895, 793?\n\"Answer: -n**3 - n**2 + 1045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 496, -5, 3, 10 in decreasing order.\nAnswer: 496, 10, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3050.6 - -3029.583. Let f = k - -0.017. Let q = -20.9999948 - f. Round q to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -97*a - 3. Let q be j(-1). Let l = -74 + q. What is the remainder when 138 is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 - 27526583*a**2 + 27526583*a**2 + 203*a.\nAnswer: -a**3 + 203*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-12)*k*k)\/(k*k**(-1\/23)))\/(k**(-2)*k**(3\/5)*k) assuming k is positive.\nAnswer: k**(-1214\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pss when three letters picked without replacement from {p: 14, s: 4}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*b**5\/13 + 1568*b**4\/13 + 390*b**3 + 3114*b**2\/13 + 540*b\/13 = 0. Calculate b.\nAnswer: -2, -3\/8, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -24. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.3, -1740, -4 in decreasing order.\nAnswer: -0.3, -4, -6, -1740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**5\/15 - w**4\/24 - w**3\/3 + 2*w**2. Let t be c(-2). Let y = t + 27. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 410495312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 10 + 4 = 0, -3*h - 6 = 4*q. Let y be (-14)\/h - (-46)\/69. Suppose 2*v = y - 1, -2*v - 638 = -5*r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (31 + -18 - (0 + 6 - 13)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -12 + 7, -4*p - 4*h = -20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 689 and 24974183?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2 = 2*s - 4*b, 9 = 3*b. Suppose 5*k - 40 = -5*h, -h + 3*h = s*k. What is the tens digit of (-2)\/h + 66\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*w = 4*k + 68*w - 20, 5*w - 10 = 5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*q + 141 = 28 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**5 + 120*v**4 + 2186*v**3 - 119336*v**2 - 1961400*v - 1840000 = 0.\nAnswer: -23, -16, -1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 5) + (20 - (1 - -4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -8*q. Let i(d) = 4 + 66*d**2 - 64*d**2 - 4. Give i(b(w)).\nAnswer: 128*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 570206 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**2\/7 - 505808*x - 111930758128 = 0.\nAnswer: -442582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + sqrt(36)\/sqrt(3))*-1 - ((2 + (sqrt(324)\/sqrt(36))\/sqrt(12))**2 + 1).\nAnswer: 2*sqrt(3) + 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 + -8.6. Let x = 13 + i. Suppose -5*r + 8 = -3*r. Sort -3, r, x.\nAnswer: -3, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36176329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + 47. Suppose -3*u - a = -2*s, -4*s = s - 3*u - 173. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21152146 (base 7) to base 12\nAnswer: -726464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 337369 - 596468411\/1768. Find the common denominator of q and 67\/272.\nAnswer: 3536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 36883\/946 + 21 - 30.\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - 189\/49)\/((-11)\/77). What is the highest common factor of 837 and x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 - 13013*i + 13013*i.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5901\/17 - -347. Sort 3, 0, o, -11.\nAnswer: -11, o, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/754 and -91\/8.\nAnswer: 3016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7\/27 + -131\/297. Let w = 9 + -15. Let u = -6.4 - w. What is the second smallest value in u, n, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooooo. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -1541*d + 1919. Is l(-13) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - 2*b**2 + 4*b**2)*(-1 + 1 + b**2) + b**4 - 3*b**4 + 3*b**4 - 298*b**2 + 587*b**2 - 283*b**2 - 16*b**4.\nAnswer: -13*b**4 + 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/42)\/((-3)\/(-4)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*w + 33485 = -94*w. Is w a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1049 + 1059 + (-38)\/4)*(120 - -2)*-1.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-3 - (-11 - -8)) - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -83*n + 1743. Determine w(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 6336*d - 12656.\nAnswer: -4*(d + 2)*(d + 1582)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + r**2 + 5*r**2)*(0 - 4 + 1).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 0*o - 5*v - 13, 0 = v + 2. Suppose 4*h - 206*g = -202*g, -g = -2*h - 1. Let f = o + h. Solve 6 = -4*x - f*j - 4, -3*x - 40 = -5*j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 5 + 35 - 10 + 16*m**2 - 17 - 7. Let s(h) = 15*h**2 - 3. Determine 3*g(n) - 4*s(n).\nAnswer: 3*n**3 - 12*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 26 - 3*r + 35 + 4*r.\nAnswer: r + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/(-3)*21\/12. Let v = o + -8. Suppose -p = -v*p + 830. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*j = -5236*j - 2592*j + 51*j - 657216 for j.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhe when three letters picked without replacement from {r: 1, a: 7, e: 6, h: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/(-16) + (-232)\/(-24)*(-1 + 7)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1331.31 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 12493014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -54.2629140169\nAnswer: 54.0629140169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (28 + 3*t - 28)*(3 - 4 + 0 + (0 + 2 - 1)*(2 - 3 + 0) - 3 + 5 - 1 + 0 - 1 - 2 + 0 - 1 + 0) as v*t + a and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 7*y**2 - 7*y - 6. Let p be s(-6). Suppose -5*j - 4*o + 40 = p, 3*j + 0 - 7 = o. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 124 = 110. What are the prime factors of 8 - 6 - (p - 422)?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 11*q - 26. Let x be j(-6). Solve -2 + x = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*f = 16, 4*f + 13 + 3 = 0. Solve 3*t = x*t - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j - 29. What is a(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b**0\/b)\/b))\/((b**6*b)\/b))\/((b\/(b*b**(2\/7)\/b))\/b)**(8\/5)*(b**(2\/7)*b**(1\/19))**7 assuming b is positive.\nAnswer: b**(-116\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -7*f**3 + 2*f - 1. Let m be p(1). Let q(r) = r**2 + 6*r + 9. Is q(m) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*u + 706 + 156 - 853.\nAnswer: -43*u + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -5*b**3\/3 - 14. Factor v(z).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 890, 1771, 2652, 3533?\nAnswer: 4414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) - (1 + sqrt(98) + -1)**2.\nAnswer: -98 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 596*x**2. Let a(z) = 8*z. What is w(a(n))?\nAnswer: 38144*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 412677619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**14*k**(1\/5)*k)\/(k**(-3\/2)\/((((k**(-4\/7)\/k)\/k)\/k)\/k)) assuming k is positive.\nAnswer: k**(849\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 7*a + 12. Suppose 4*n + 3 = a*v + 31, -5*n - 10 = 4*v. Is 16 a factor of ((-3)\/n)\/(9\/(-240))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t + 15. Let u be q(3). Let h(x) = 228*x - 225*x + 1 + u. Determine h(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*h = -1397 + 192, 3*j = 3*h + 897. Suppose -5*n - 5*r + j = 0, r + 34 = 2*n - 86. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 47 + 20*r + 15*r + 26*r - 30*r wrt r.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.2 - -1.4. Let n = 0.2 - o. Let w = 1.3 + -0.3. Which is the nearest to 0? (a) w (b) n (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 795 + 4839 = 0. List the prime factors of m.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 10052773 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 980041?\nAnswer: 419, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-7 - (67 + -14) - 0 - -15)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -8*u**2. Let v(s) = -7*s + 1294823. Give v(w(j)).\nAnswer: 56*j**2 + 1294823","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21708 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: Work out -0.804 * 1168.5.\nAnswer: -939.474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (-3 - -17)*(-2 + 1). Suppose g*m = -1 + 23. Solve 10 = -f - 4*b, -4*b = m*f - 7*b - 13 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j + 1 + 3 + 6*j - j. Calculate q(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1823 = 13*x - 3637. Suppose -318 = -6*o + 3*o + 3*b, -x = -4*o + 5*b. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 136, 287, 498, 769?\nAnswer: 1100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 10. Let k be ((-1)\/i)\/(3\/(-45)). Let r be (-19)\/(-7) + 4\/14. What is the biggest value in -1\/2, r, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7389 is divided by 1605?\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 - 78*a + 520. Give q(-43).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4907029*x + 2336279 wrt x.\nAnswer: 4907029","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019700631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1026877 is divided by 53.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 214*z - 45*z - 108*z + (3 - 2 - 2)*(-3*z + z + 0*z) + 1 + 2*z - 1 in the form t*z + p and give t.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1369 = -3*k, 0 = 5*k + 5*i - i - 2310. Let n = -319 + k. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20081244461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20924923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4006*b + 34979 - 42518 = 72581 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**2\/2 - 5*k - 5. What is i(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2042 + 10242. List the prime factors of (k\/(-80))\/(3\/(-6) - 0).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-9))\/((240\/(-9))\/5).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -491*y**3 + 14*y**2 - 9*y - 15. Let r be l(-7). Let d = r - 243747. Round d to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047 a factor of 54327380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1534362 by 255727.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1605 is divided by 33?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -63344 (base 11) in base 12?\nAnswer: -45476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -249, -500, -755, -1014, -1277?\nAnswer: -1544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/207 and -13\/207.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 - 29. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 + 44. Is u smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/17 (b) -0.4 (c) -2\/3 (d) -11 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 9 = 1. What is the common denominator of (u\/(60\/26))\/(-8) and (-1304)\/(-240) + 3*4\/36?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 - 33.94. Let n = 34.5 + k. Let g be (-6)\/(-16) + (-1)\/2. Sort g, n, 0.3 in descending order.\nAnswer: n, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(5\/7)\/(x**0)**18 assuming x is positive.\nAnswer: x**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(85) - (sqrt(85)*4 + sqrt(85) - sqrt(85)))*-2)\/((sqrt(15)\/sqrt(3) - sqrt(5))*-3 - sqrt(45)*-3))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -59*n - 828. What is b(-17)?\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.121 + -1.939. Let x = 1.96 + l. Which is smaller: x or -0.04?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-171)\/114)\/((-1)\/2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = h - 13456, j + 21905 = 2*h - 4998. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456975191?\nAnswer: 456975191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 0*a**2 - a**2 - a**2. Let n(w) be the second derivative of w**3\/3 + 17*w. What is r(n(i))?\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence titt when four letters picked without replacement from ijijiijiiijit.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-395)\/4)*30\/240*20?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**8\/168 - 7*i**6\/12 + 367*i**5\/5 + 34*i**2 - 74. Find the third derivative of w(b) wrt b.\nAnswer: -120*b**2 - 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(8\/9)*a**31\/a)\/(a**34\/a**(3\/5)) assuming a is positive.\nAnswer: a**(-68\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -2\/5*n**5 - 12 + n**2 - n**4 + 4\/3*n**3 + 1\/3*n**6 - 2*n. Find c such that h(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*w**5 - 6292*w**4 + 8*w**3 + 20000*w**2 + 6.\nAnswer: -360*w**2 - 151008*w + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 11*l - 16. Let q = -98 + 86. Calculate j(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14833*p - 50227*p - 21699*p.\nAnswer: -57093*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27879419 to the nearest integer?\nAnswer: 5280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 0.5. Let k = -488\/9 + 54. Let u = -1 - -2. Which is the nearest to u? (a) -1 (b) k (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -27 - 588. List the prime factors of p.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4545916 times -2?\nAnswer: -9091832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4807 and 114.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1532187988?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w + 24. Calculate m(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -356243*t**5 - 183437*t**2 - 2.\nAnswer: -21374580*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -20. Let h(f) = -f**2 + f. Give h(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1184?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4915232?\nAnswer: 2, 7, 21943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**3 + 20741790*t**2 + 41483595*t + 20741800 = 0 for t.\nAnswer: -1, 4148360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*p - 99 = -1680. Calculate the remainder when 91 is divided by p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0035769 to 5 decimal places.\nAnswer: 0.00358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 175 = 160. Is t less than -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 13 - 17. Let n = t + -6. Suppose 2*r - n = -2*z, 4*r - 10 = 5*z - 2. Let w(x) = -x**3 - x**2 + x + 8. What is w(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(7\/4)\/q)\/((((q\/(q*q\/(q*((q\/q**13)\/q)\/q*q)))\/q)\/q)\/q*q))\/((q\/(q**9\/q)*q)\/(q\/q**(-2\/35))) assuming q is positive.\nAnswer: q**(3193\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 21776025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295*t**2 + 282*t**2 - 491*t**2.\nAnswer: 86*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*y = 531 - 83 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0055542 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -2. Let u be 2\/k + (-2 - -2). Let q = -0.334 + 1.234. What is the second biggest value in q, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ksxsljjssxsssjsss. Give prob of picking 1 s, 1 x, and 1 k.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004113 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32*2\/(-20))\/((-4)\/(-10)). Suppose 3*m - v*m = -150. Suppose -14 = 3*q - 3*d - 2*d, m = -4*q + d. Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 5:24 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**3 - 3 + 6 - w**3 + 5*w**3 - 229*w**2 - w + 104*w**2 to the form d*w**2 + r*w**3 + j + n*w and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 617*r**4 - 9*r**3 - 44*r**2 - 9. Let n(z) = -308*z**4 + 4*z**3 + 22*z**2 + 4. Let i(x) = 4*c(x) + 9*n(x). Find the third derivative of i(p) wrt p.\nAnswer: -7296*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-6))\/(-4)*16\/(-32)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.049 in -140, 0.2, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 24*q - 6. Let m(s) = -72*s + 20. What is 20*h(v) + 6*m(v)?\nAnswer: 48*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 5:31 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(68)*1 + sqrt(68)))\/(sqrt(4) - sqrt(180)\/sqrt(5)) - 1*3*((sqrt(153)*-3 - sqrt(153))*3)\/sqrt(9).\nAnswer: 37*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(2 - (0 + 0)). Suppose 4*i - 38 = -2*r - 2, 0 = -w*r + 5*i + 33. What are the prime factors of (0 + 2)\/(r\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 8. Let p be y(6). Suppose i + 122 = 4*z, 5*i = 3*z + z - 130. Let h be 34\/z + 0 - 1. What is the closest to p in 3, h, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, i: 6, n: 6}. Give prob of sequence vivv.\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101001100100 (base 2) to base 6.\nAnswer: -122124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 6 = -a + c, 5*a + 38 = -3*c. Let y be 6\/a - 92\/(-20). Let v be (-6)\/(-8)*y + 1. Solve 13 = v*i - 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 7*a = 87, -5*a = -88*t + 86*t - 67 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 460, 1396, 3180, 6094?\nAnswer: 10420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 7*c**2 - 7*c - 9. Let s be l(-6). Let i(u) = 15*u + 4. Determine i(s).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113403053 (base 6) in base 7?\nAnswer: -24054501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 151 = -3. Let c = 294 - v. What is the tens digit of c\/15 + (-2)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1854)\/3399)\/(1 + 75\/(-66))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*l = 34*l + 756 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -11*u**2 + 3*u. Let w(m) = -21*m**2 + 5*m. Let c(l) = -5*d(l) + 2*w(l). Let f be c(1). Solve -5*v + f = -12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -9. Let z be 12\/(-5) - (r - 5). Suppose -2*u = -7*u. Which is smaller: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12568, 23559, 34550, 45541, 56532, 67523?\n\"Answer: 10991*z + 1577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-65204)\/36)\/(52\/18 + -7 + 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650688 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1544156.46ms to weeks.\nAnswer: 0.00255316875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 7*v + 12. Let b be r(-5). Suppose 2*g + 5*t - 9 = 0, b*t + 5 + 1 = 0. Solve -d - 3*d + g = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.20167 less than 0?\nAnswer: 44.20167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 - -70. Solve -160 + f = 7*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 41*t - 11. Let q be j(14). Let a(h) = 14*h**2 - 5. Let m be a(-8). Let g = m - q. Calculate the highest common factor of 41 and g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -3*o**5\/20 + 4*o**2. Let x(b) be the first derivative of 0*b + 0*b**2 + 8 + 2\/3*b**3. Calculate x(t(h)).\nAnswer: 162*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*sqrt(13) - (sqrt(13) - (-3 + sqrt(13)*3)))*-4.\nAnswer: -16*sqrt(13) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n - 1. Let r be t(0). Let m be 3\/(-6)*(-1 - 1). Let k be (8\/(-6) + 1)\/m. What is the nearest to r in k, 0.1, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -54104*j**3*u - 231362*j**3 wrt u.\nAnswer: -54104*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12705709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 191958 - 191982. Let f = -88685\/3774 + -2\/1887. Is f less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + 6154?\nAnswer: 6145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 + 52*f - 294. Let i be b(5). Solve 38 = -i*m - 42 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*-16.48.\nAnswer: 197.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046021 to the power of 1\/2, to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -1.07 (c) 268\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10868543 or -10868535?\nAnswer: -10868535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + v - 3. Let w = 1 + v. Suppose -w*m + 4*m = 0. Is m not equal to -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -407753*g. Let t(o) = 145*o. Give t(c(k)).\nAnswer: -59124185*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70*-36415.\nAnswer: 2549050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1620*y**2 + 1620*y**2 - 9*y**3.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (-8)\/12*3. Suppose -2*z - 8 = 0, -m + 7 = -z - x*z. Suppose -m*h = 8 - 44. What is the lowest common multiple of h and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x**3 + 5*x**2 - 2*x + 13. Determine m(-4).\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 18 - 47)*(-6*x - 4*x + 2*x)*(3 + 2 - 3).\nAnswer: 96*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ei when two letters picked without replacement from {e: 7, z: 3, t: 3, i: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 - 536*o - 3260. Let i be q(-6). Calculate the highest common factor of i and 1528.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*z - 32*z = -284 - 171 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003948992 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/845 and -51\/6760?\nAnswer: 6760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 6*y - 5*o + 5, 5*y - 35 = -5*o. Suppose 0 = -2*p - z - 2, 6*z + 8 = -3*p + 2*z. Sort p, 26, y in increasing order.\nAnswer: p, y, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4178*h**4*k + 66*h*k - 248581*k + 2 wrt h.\nAnswer: 16712*h**3*k + 66*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236108132.\nAnswer: 2, 13, 4540541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15641?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -22528.\nAnswer: 1\/2816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -216 - -224. Let w(l) = -15*l + 164. Let k be w(c). What is the highest common factor of 110 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24827 and 999.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 9. Let c = -192\/7 + 27. Which is smaller: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*n = 184*n + 42 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/3 + 230\/70. Which is the nearest to r? (a) -0.5 (b) -0.4 (c) -0.1 (d) -9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756378 is divided by 211.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15b - 4?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(616\/96)*(-8)\/(-6)\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 24 = -6. Let w(c) = c**3 + 6*c**2 - 2*c - 12. Let p be w(j). Let g(n) = n**2 - 13. Give g(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 - -86.355?\nAnswer: 17.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38.005 + 0.005. Let g = i + 37. Sort g, 3, -6.\nAnswer: -6, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 94, -328, -1038, -2042, -3346, -4956, -6878, -9118?\n\"Answer: -j**3 - 138*j**2 - j + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2823, 2\/11, 0.077, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-8\/3))\/q*q**(-3\/7)\/q)**(-8)*(((q**2\/q)\/q)\/((q\/(q\/((q**8\/q*q)\/q)))\/q))**(3\/5) assuming q is positive.\nAnswer: q**(-1418\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/27 less than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -46? (a) 19.2 (b) -4 (c) -92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + ((3 - (0 - -2)) + -6 - -11).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 188680 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178135643?\nAnswer: 7, 1409, 18061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*m = -25, 7 = -2*u - 4*m + m. Let d(h) = h**3 + 9*h**2 + 8*h + 4. Let y be d(u). Solve 0 = 3*k - 4*b, y*k + b + 3*b - 28 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3277685 to the nearest integer?\nAnswer: 1810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.4 * 92824.\nAnswer: -222777.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*x + 403*x = -14 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -0*h + v - 2, 2*h + 44*v = -90 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3 greater than or equal to -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (69 + -19 + 11) - -3?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 790 + 1355. Suppose h*q = 714*q + 1823. List the prime factors of q.\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1127?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**2 - 1. Let r(b) be the second derivative of -11*b**4\/12 - 104*b + 2. What is r(i(v))?\nAnswer: -176*v**4 + 88*v**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -1 + 0 + 0*z**3 - 8*z**3. Let a(q) be the second derivative of 0 + 0*q**4 + 4*q + 0*q**3 + 1\/10*q**5 + 0*q**2. Determine -9*a(r) - 2*h(r).\nAnswer: -2*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.18152ml to litres.\nAnswer: 0.03418152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {k: 2, a: 3, b: 2, z: 2, d: 1, o: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**5 - 5*n**4 + 66*n**3 - 196*n**2 + 232*n - 96 = 0.\nAnswer: -12, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*f + 16, 3*x + 2*f = 4*f + 40. Let y be (14\/(-6) + -2)*9. Let l = -5 - y. What is the remainder when l is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3400 - 12970 = 0. Let v = t - -6014. What is v rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 53*o + 13 + 18 = 51*o + 10, 4*f - 956 = 117*o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 68.17219 millilitres?\nAnswer: 0.06817219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*sqrt(320) + 0)**2 + -1 + sqrt(320) + 0 + 6*-2*sqrt(245) + ((1 + sqrt(605) - sqrt(605))*2)**2.\nAnswer: -76*sqrt(5) + 1287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2618 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fgmjqfn. What is prob of sequence qng?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/2 - 51*x\/2 + 90.\nAnswer: -3*(x - 3)*(x + 20)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4243 + 4251. Solve d*m = 107 - 67 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (0 + 2 - (20 - 23))) + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*g - 4. Suppose g + 44 = 8*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-1245)\/(-10966)) + -2. Let s = m + 2\/249. What is the common denominator of s and 13\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1128 + 1590. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768) + (sqrt(768) - 3*sqrt(768)) + (sqrt(12) - sqrt(36)\/(sqrt(3)*-1)))\/(-5*4*sqrt(484)*-4).\nAnswer: -3*sqrt(3)\/440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-665)\/(-15) + (-2)\/(-3). Suppose 2*p - 2*g - w = -7*g, p - 2*g - 9 = 0. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -255320424 divided by 851\nAnswer: -300024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**3 + 177*u**2 - 130*u - 123. Let o be b(46). What is o rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373*g - 975*g - 259*g + 116*g.\nAnswer: -1491*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 2988 - 19320. Let f = -3315287\/406 - h. Let d = -1\/58 - f. Which is bigger: 0.5 or d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -730, -728, -726, -724?\n\"Answer: 2*f - 732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6053 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6353, 12693, 19041, 25403, 31785, 38193, 44633?\nAnswer: 51111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 48*k**5\/5 + 18*k + 25. Differentiate j(m) wrt m.\nAnswer: 192*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 5:57 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -8, 2.\nAnswer: -8, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1089256 and -0.16943951?\nAnswer: 0.06051391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -126 (b) -4 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y - 31*y**3 + 4 + 9\/2*y**2. Differentiate c(l) with respect to l.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 580 - 285 - 291 - 2967*j.\nAnswer: -2967*j + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1179.\nAnswer: 1\/1179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 157*g**2 - 309*g.\nAnswer: 314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 174\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - j + 23. Calculate c(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11*(5 + (-260)\/55). Put -3, -2, -267, l in decreasing order.\nAnswer: l, -2, -3, -267","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + -1 + 5.\nAnswer: 4 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -1, 0, 7.5, 2, -1\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from gyeyte.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 + -62 + 2 + -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/6)\/(3*(-2)\/2538). Is s\/2 + 0 + 19\/38 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - l + 1. Let r(c) = -2*c**3 - 9*c**2 - 2*c + 5. Determine -4*j(d) + r(d).\nAnswer: 2*d**3 - 9*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 30*i**3 - 914*i**2 - 2118*i. Let u(r) = -14*r**3 + 458*r**2 + 1059*r. Let a(o) = -6*s(o) - 13*u(o). What is the second derivative of a(w) wrt w?\nAnswer: 12*w - 940","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40815.2 and 4.\nAnswer: 163260.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 w when four letters picked without replacement from wwwtwdwdwwtwwtwww.\nAnswer: 22\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*h = 18*h + 185 - 1301 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -81.89?\nAnswer: 79.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*q - 7*s - 24, -3*q + 2*s + 15 = 0. Put -1, -8, q in increasing order.\nAnswer: -8, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -113896903*h - 274130907 wrt h.\nAnswer: -113896903","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = l + 1, 17 - 11 = -3*o. Put -0.3, l, -4, -41, -1\/7 in ascending order.\nAnswer: -41, -4, -0.3, -1\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**4\/o**(2\/51)*(o*o**16\/o*o)\/(o\/(o\/o**14)*o) assuming o is positive.\nAnswer: o**(304\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, z: 1, j: 3, f: 7, c: 1}. What is prob of picking 1 x, 1 j, and 1 z?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r = -26, -2*u + 2*r - 52 = -66 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-2)*(-62 - (-11 - 53))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddjmjdmmdmddmmmd. What is prob of sequence jd?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14144 + -334?\nAnswer: -20033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.109558088 rounded to four dps?\nAnswer: 0.1096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -93*d + 6. Let b(v) = 31*v - 2. Let s = 17 - 15. Let w(x) = s*m(x) + 7*b(x). What is the derivative of w(k) wrt k?\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -28. Does 15 divide (-552)\/(-9) - o\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 2\/13 (b) -1 (c) -4.2 (d) -2431\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*c*d**2 - 293*c + 339386*d**2 + 17*d + 889 wrt d?\nAnswer: 50*c + 678772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5 = -1, -5*o - 4*r = -449. Let u = o + -93. Solve 4*j + 3*x + 29 - 3 = 0, u = -2*j - 2*x - 14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 459 or 462?\nAnswer: 462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 236222051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*(sqrt(7) + 2)*4.\nAnswer: 53 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2112203310031 + 1?\nAnswer: -2112203310030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144\/(-108)*63\/224?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 163647 and 39498435.\nAnswer: 434482785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-1 + (-4 - (1 - 8))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 2*m = 2*f, -5*m = -5*f - 15. Let j = 66 + -37. Let i = j - 34. Sort i, f, 3.\nAnswer: i, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2027*j + 2027*j + 2*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 58469 to the power of 1\/2, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86853 (base 12) to base 4.\nAnswer: 223110333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01145 to four dps.\nAnswer: 0.0115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475165758.\nAnswer: 2, 3, 257, 308149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*p**4\/7 - 400*p**3\/7 - 3610*p**2\/7 + 3600*p\/7 + 9\/7 = 0.\nAnswer: -3, -1\/401, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25627742*t + 6490257 with respect to t.\nAnswer: -25627742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 0. Suppose -s*d = -10, -t - 4*d = -21 + 5. Let o = t - -10. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 9. Let g be b(6). Suppose 0 = -4*h + g*y - 4*y + 29, 2*h - 2*y - 12 = 0. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -3321.13?\nAnswer: 6642.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**3 - 39*j**2 - 90*j = 0 for j.\nAnswer: -2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 1223 = 1403. Which is the closest to 4? (a) 0.3 (b) 0.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647452 smaller than 3237253\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 133. Let p be (-2)\/(-4)*(43 + 2 + 5). Calculate the highest common factor of p and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l. Let a(u) = -184*u. Calculate i(a(v)).\nAnswer: -368*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 499647 and 2727.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -5*x + 130929 - 130939, 5*p = -x + 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -87.\nAnswer: -17\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 4*n - 2. Let q be t(4). Sort q, 0.5, 0 in ascending order.\nAnswer: q, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 5*t - 5. Suppose 8 = 4*h, 2*h - 28 = -0*w + 4*w. Calculate the remainder when 1 is divided by j(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**2 + 568*i - 7364. Give f(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 5*m**3\/3 - 145*m**2 + 4205*m + 61. Factor g(o).\nAnswer: 5*(o - 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 898*h + 806*h - 1132*h to i*h + n and give i.\nAnswer: -1224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14, -16, -18, -20, -22, -24?\n\"Answer: -2*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**5 + 10960*f**4 + 16269468*f**3 + 3353650568*f**2 - 20824782734*f - 24162174792 = 0.\nAnswer: -2617, -252, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.0606, -12.95?\nAnswer: -0.0606","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**3 - 207 + 360 - 164 - 3*d to b*d**3 + j*d**2 + n + t*d and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1028199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdidg. Give prob of picking 1 p and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q - 11. Let z(d) = -13*d + 33. What is -7*o(n) - 2*z(n)?\nAnswer: -2*n + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1628*p**3 - 2*p**2 - 380?\nAnswer: 9768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 8*o - 37. Let v be s(-11). What is the remainder when (-38)\/v*1*(-2 + 4) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21337568.\nAnswer: 2, 7, 95257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5813 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 - o + 1. Let x be s(2). Let v(g) = g**2 + 6*g - 10. Suppose -106 = -3*f - 7. What is the remainder when f is divided by v(x)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1704*u - 1724*u + 2620. Calculate the remainder when 234 is divided by u.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1009, 2022, 3037, 4054, 5073, 6094, 7117?\n\"Answer: v**2 + 1010*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 180151 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1\/4)*s)**(3\/19)*s*s*s**(-3\/4)\/s*s*s\/s**(-1\/4)*(((s**6\/s)\/s)\/(s**4*s))\/(s**0)**(-1\/12) assuming s is positive.\nAnswer: s**(141\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-1)\/8)\/(15\/(-20))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kaa when three letters picked without replacement from kvhavkkawvawz?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*w + 113 = 81*w. Let q(o) = 4*o + 6. Let h be q(-4). Put 3, h, w in increasing order.\nAnswer: h, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*r + 0*r = 386, 5*q - 961 = r. Let a = -990 - -1014. Calculate the highest common factor of a and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 o, and 1 i when three letters picked without replacement from {v: 1, i: 1, o: 1, e: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 43341 - -158?\nAnswer: 43510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16408?\nAnswer: 2, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 178, 614, 1464, 2866, 4958, 7878?\nAnswer: 11764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 - 8*b - 4*b**2 + 8*b.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3042643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/(18694\/1710501).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 9:52 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 7576762.129 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 144107 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7)\/3)\/((15\/(-24))\/(12\/(-32))). Which is the third smallest value? (a) -0.03 (b) f (c) -4 (d) 5 (e) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*u = u - 294 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.62 + 0.9894261?\nAnswer: 0.3694261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/1 + (-944)\/96?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/221 and 45\/34?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 712 + 181. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14744 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3114, -4197, -5280, -6363, -7446?\n\"Answer: -1083*i - 2031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 31024*m + 120311072.\nAnswer: 2*(m - 7756)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*b - 896 = 4783 - 647 for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**4\/3 + v**3\/3 + 3*v**2\/2 + 8*v + 8. Let l be u(-1). Let y be 0 - 1 - 6\/(-2). Solve l*w + 8 = -y for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, v: 3, f: 1, q: 6}. What is prob of sequence qlqq?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1213*c = 1222*c - 99 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2. Let r = -7 - -3. Let v be (8\/(-10))\/(r\/30). Let q(p) = v*p - p - 6*p. What is c(q(x))?\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -129755*x - 1838. Is k(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-6)\/((-108)\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12947.\nAnswer: 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 775850460 and 880.\nAnswer: 3103401840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44583 and 277620?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 53*l**2 - 108*l - 26. Let t be x(-55). Sort -2, t, -1.\nAnswer: t, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2. Let a(s) be the second derivative of 14*s**3\/3 - 89*s. Determine a(u(m)).\nAnswer: 84*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10335 and 4992?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3295321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(12\/3))\/(-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrwwwrwrwwwwrw?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*t - 11. Let l be 2\/6 + 14\/3. Solve -1 - l = -t*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 8. Suppose g = 2*t - 6*t + 2084. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 359 - 355 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -6*f - 3. Let j(h) = -5*h - 3. Let s be -2*12\/(-20)*(-50)\/15. Give s*j(a) + 3*t(a).\nAnswer: 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 2. Let n = -2.2 - -1.7. What is the third smallest value in 4, h, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 6:17 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 2440.\nAnswer: 9\/2440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2139385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3200) + ((sqrt(2) + -2)*5)**2 - (sqrt(100)\/sqrt(32)*6)**2.\nAnswer: -60*sqrt(2) + 75\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, 4, -3, -9, -148, -1, 1 in descending order.\nAnswer: 61, 4, 1, -1, -3, -9, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 0, -14\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-104*t**3 - 126906*t + 126906*t)*(-t**2 + 7*t - 7*t) + 0*t**5 + 0*t**5 - t**5.\nAnswer: 103*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 32098401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 divided by 11?\nAnswer: -202\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 4*f + 28210, -109*o + 14056 = -108*o + 5*f. Is 231 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) -91 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28359 + -1?\nAnswer: -2835a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31840*b**2 - 79590*b - 25 = 0 for b.\nAnswer: -1\/3184, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 132823 or 1726701\/13?\nAnswer: 132823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -3*f + 0*f**3 - 1\/35*f**7 - 5*f**2 + 1\/112*f**8 + 2\/5*f**5 - 3\/40*f**6 - 1\/2*f**4 + 0. Solve t(v) = 0 for v.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 566\/5 - 112. Put 2, 2\/11, -5, o in ascending order.\nAnswer: -5, 2\/11, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2058, 2\/3, 0.09 in descending order.\nAnswer: 2058, 2\/3, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -443042?\nAnswer: -443051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 64333*(-27)\/(-12) - (56\/(-32))\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 613043\/18582 - 4\/(28\/231)?\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 1\/5*z**3 + 1\/60*z**4 + 9\/10*z**2 + 32*z + 30. Let k(y) be the first derivative of m(y). Solve k(i) = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-40)\/35)\/((-4)\/(-14) + 0). What is the fourth smallest value in -2, w, 1\/4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1144 + 2880. What is the highest common divisor of 168 and x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 270? (a) 0.4 (b) 4 (c) -2\/9 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5796289 or -5796293?\nAnswer: -5796289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8156, 15297, 21422, 26531?\n\"Answer: -508*x**2 + 8665*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/64252110 and 77\/1140570.\nAnswer: 192756330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 6 + 1. Let m(a) be the third derivative of -a**6\/120 - 2*a**5\/15 - 11*a**4\/24 - 3*a**3\/2 + 8*a**2 - 13*a + 5. Determine m(o).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvddvdvdzbzbdvib. What is prob of sequence zbd?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 112 = 5*r, 3*o - 88 = -5*r - o. Suppose r - 71 = 17*u. Which is greater: u or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 27 = -3*v - 3*h, v + 29 = 3*h. Let l be (-1 + 0)*(v + -3). Find p such that 1 - 9*p - 5*p**2 + p - 5 + l*p**2 = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -22\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*y - 33 = -66*y. Let v = y + 52. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266133 divided by 69?\nAnswer: 3857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9810163 to the power of 1\/2, to the nearest integer?\nAnswer: 3132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6691073923 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -2 (b) 238 (c) 4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067808 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: Calculate the remainder when 209774061 is divided by 2939.\nAnswer: 2936","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 188\/5 (b) 0.48 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -67?\nAnswer: 4\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590 is divided by 250.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28*j**3 + 54*j**2 + 20*j - 146502.\nAnswer: -84*j**2 + 108*j + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + -363)\/((-14)\/(-35)). Suppose 4*f = 12 + 16. Calculate the smallest common multiple of n\/(-140) - (-9)\/2 and f.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3496 or 95.76?\nAnswer: 3496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -23 - -20 - 12\/(-2). Solve -4 - 2 = -b - 2*f, 3*f = t for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9320 is divided by 823.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10b7b - -1049?\nAnswer: 11bc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*n - 14*n - 3*n**2 - 24*n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5330*r**2 - 17189*r**2 + 8049*r**2.\nAnswer: -3810*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -7*f + 53 - 102*f**2 - 28 + 2 + 57. Let q be b(6). What is q rounded to the nearest one hundred?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213, -838, -1879, -3336, -5209, -7498?\nAnswer: -10203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 2*c - 42 + c**3 + 48 - c. Determine x(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 405*a*c**2 - 183*c**2 + 2 wrt a?\nAnswer: 405*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -5 - -8) + 5 + 12 + -29.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6350291 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 12*f - 7. Let l(x) = 2*x**2 + 0 + 9 + 0*x - 2*x**3 + x**3 + 3*x. Let p be l(4). Let v be q(p). Solve -v*n = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 3 - ((-31)\/4 + -3)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -26*u - 1. What is the units digit of s(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 40 = -3*p - 5*l, 0 = 5*p - 2*l + 26. Is (-1 - 1899\/p)*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55977 and 427569?\nAnswer: 20095743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -3.5. Let y = -1 + m. Let j = -3.974 + -0.026. Put 3, y, j in descending order.\nAnswer: 3, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 62 = 6*h + u, -52 = -5*h + 4*u. Let c(p) = 4*p**2 - 5*p**2 - 5 + h*p - 6 + 3. Calculate the remainder when c(8) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*k - 91*k - 60 = 0. Let f(b) = 18 + 3*b + 3 + 11. What are the prime factors of f(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/6)\/(6\/(-1))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 118 = 47. What are the prime factors of -4 - (4 - k\/3)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1158 is divided by 129.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000748394151 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + 61. What is the smallest common multiple of 20 and w?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37987.8548 to the nearest one hundred.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(4 - 2 - 1)*(-22*a**2 - 19*a**2 + 19*a**2) - 2*a**2 - a + a.\nAnswer: -46*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v - 12. What is f(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 527.6 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 169*p**2 + 3*p.\nAnswer: -169*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(66))\/(sqrt(36)\/(sqrt(6)*-3)).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 402258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 403.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 80815833*y**5 - 9681040*y?\nAnswer: 1616316660*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 3*i = -3, 48*i - 155 = -35*m + 53*i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 28 = 3*c + c, 2*s = 2*c + 4. Let n(p) = 56*p - 11. Let o(i) = -55*i + 11. Let d(l) = 2*n(l) + 3*o(l). Is d(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 0 + 0*r - 3*r + 1 + 2*r. Let p be v(-4). Let n = 1 - 0. Solve 4 = p*o - n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 2*v - 12. Let q be h(5). Solve 0 = -5*c - 11 - 9, -16 = -q*s + 4*c for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 + 40*o**2 + 240*o - 5904. Give s(16).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14821.4 + -3.1664\nAnswer: 14818.2336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.469 + 5.504. Let f = w + 0.027. Let p = f - 5.968. Round p to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*o + 189, 5*f + o - 3 = 180. Let n be (-2)\/6 - 0 - 8016\/(-72). Suppose -67*r - n = -70*r. Is r < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 12*j + 59. What is the least common multiple of 24 and t(9)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14961827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26\/3? (a) -0.37 (b) -24 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1\/y)**39)**(-13\/6)*(y**(1\/4))**(-27)*y**6*y**(-4) assuming y is positive.\nAnswer: y**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 2 + 5 - -6 - 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 12, -4*g + 1152 + 294 = -2*m. Let l = 716 + m. Let f = -6.7 + 7. What is the third smallest value in f, l, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 24 = -4*l. Suppose 2*q - l*x = -x + 69, -9 = -3*x. Suppose -42 = -2*k - 5*u, -14 = -3*k - 4*u + q. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 103, 1, -150, -8 in decreasing order.\nAnswer: 103, 1, -8, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -400*w. Let g(d) = -39*d + 66. What is l(g(v))?\nAnswer: 15600*v - 26400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3700836690?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13239373 is divided by 3721?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 3*f = 9, 5*f + 2 = -2*x - 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6389224 is divided by 475.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1534 and 4837882?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.98749 minutes to milliseconds.\nAnswer: 4079249.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.03, -6, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 112, 67, 0.06, -2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2\/17 + 454*u\/17 + 10416\/17 = 0. What is u?\nAnswer: -21, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, f: 7}. What is prob of sequence ffll?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g - 3. Let a(l) = -4*l + 7. Let u(v) = -4*a(v) - 7*t(v). What is the units digit of u(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (108\/(-63))\/((-4)\/14). Suppose 3*j + 10 = o, o - 2*j = b*o - 67. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-178 + 0)*(-10)\/6 - (-1188)\/(-1782)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.77 from 204710.\nAnswer: 204711.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17627562.\nAnswer: 2, 3, 179, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95768658?\nAnswer: 2, 3, 61, 87221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 0.6.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3698284 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) - (sqrt(2057) + -1)**2*-4 - (-4 + (sqrt(119)\/(-2*sqrt(7)))**2).\nAnswer: -77*sqrt(17) + 32927\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -423.5*-116.\nAnswer: 49126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2*b + 20. Let k(c) = -c**3 - 5*c**2 + c + 7. Calculate k(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 35 + 206*w**2 + 20.\nAnswer: 206*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 + 140 + 18*m**2 - 18 - 10*m**2 to the form f*m + s + o*m**2 and give s.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lle when three letters picked without replacement from kklmekkkkleelmmklmk.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -727*g**2 - 737*g**2 + 1428*g**2.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60\/(2 + 3)*13\/3?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/3*(-16)\/(-176)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.095 - 2.175. Let m = d - -0.08. Which is the nearest to -2\/7? (a) 8 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146701 is divided by 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.72 + -0.12. Let p = -5.4 + 5. Let s = q - p. Which is the closest to -1? (a) 0.4 (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/31 less than -2\/75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107696 is divided by 841.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 2 - (-78 + 57 - -15).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38 in 4, 3, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.27636 + 0.12364. Let q be -2*((-1)\/4 - 0). Let y be 1\/2 - 3\/(-10). What is the nearest to y in q, -0.2, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + (-22 - (-69 - -52))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 24*m + 9*m**2 + 5*m + 6*m**2 - 29*m. Let h(a) = 29*a. Determine n(h(b)).\nAnswer: 12615*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*w = -2 - 5, -3*o - 5*w = 2. Find the common denominator of 25\/7 and o\/(4 + 1336\/(-316)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 12*n - 21. Determine t(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from vjjjjvjjjjjvjjvjjj?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.52 minus -0.7?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (32\/(-40))\/(4\/(-10)). Let i(t) = -6*t + 48 - 49 - 5*t**2 + 4*t. Let p be i(j). Round p to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6962512 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/k**(-4\/5))\/k)\/k**(-5))**(17\/5)\/((k\/k**(-6\/5))\/(k*k*k*k**3\/k*k*k)*(k\/k**(-7\/5))\/k**(-5\/4)) assuming k is positive.\nAnswer: k**(2427\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000021055 to 7 decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19917, 19755, 19571, 19353, 19089?\nAnswer: 18767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -22. Let k be 204\/10 + h\/50. Let d be (-38)\/(-5) - 4\/(-10). Calculate the highest common divisor of d and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 - 92. Suppose t = 2*k + 8, -3*g = 4*k - 6*k - 530. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/36)\/(5\/15)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18235.\nAnswer: 5, 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 + -90. Let q(w) = -w**3 - 2*w**2 - w - 1. Calculate q(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 12 = 3*n. Suppose -n*l + 21 = -45. Calculate the lowest common multiple of l and ((-6)\/15)\/((-9)\/45).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 72 - 16*q + 12*q)*(-2*q + 2*q + 5*q + q + 2*q - 2*q + (0*q + 2*q - 4*q)*(1 - 2 - 1) + 2*q + 0 + 0).\nAnswer: -24*q**2 - 864*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23 + 15650?\nAnswer: 15673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*g**2 + 38*g**2 + 37*g**2 - 1 as k*g**2 + v + s*g and give k.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1626425*j**2 - 232311*j + 1 wrt j?\nAnswer: -3252850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 520403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 6*w + 4. Let c be (4\/6)\/((-50)\/(-15) - 4). Let a be 3\/c - 2*8\/(-2). Give z(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8109483?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 + 6*m**2 + 8*m + 5. What are the prime factors of d(12)?\nAnswer: 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, q: 1, u: 4}. Give prob of sequence qh.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5c96 (base 16) to base 3\nAnswer: 1012111212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + (sqrt(500) + 1 - sqrt(500)))*-6 + 1 - ((-3 + sqrt(500)*1 - sqrt(500) - sqrt(500) - sqrt(500)) + -5 + 2)) + 3)**2.\nAnswer: 1120*sqrt(5) + 2784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29.892734 + 0.334566. Let d = f + -30.2. What is d rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4276130 by 566.\nAnswer: -7555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3\/2 (b) 0.3 (c) 116 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 5*s + 3 + 0 = 0, 2*i + 5*s = -23 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 131 (c) 10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*z = 20 + 12, 0 = -z - 4. What is the highest common divisor of r and 776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -603 smaller than -421728\/701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38258444, 76516888, 114775332, 153033776?\nAnswer: 191292220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -2, -31 in ascending order.\nAnswer: -31, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25386429, -25386430, -25386431?\nAnswer: -25386432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 11, q: 3, s: 1}. What is prob of sequence aqq?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 18*2\/4*(-266)\/18354\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + x**2 - x + 16. Let t(f) = -f. Let o be t(0). Let h be u(o). Let m be (3\/2)\/((-6)\/h). Let y(s) = -s - 3. Calculate y(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {h: 2, q: 2, b: 3, x: 8}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 15*h. What is the units digit of f(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -8 - 3*d + 0*d**2 + 1\/3*d**3. What is the derivative of l(t) wrt t?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 1\/4*p**4 + 0*p + 3 - 1\/5*p**5 - 1\/2*p**2 + 1\/3*p**3. Determine r so that j(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 50, 70, 94, 122, 154?\n\"Answer: 2*c**2 + 14*c + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23162915 a multiple of 2705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.02 - -3. Let o = -0.08 - f. Let s = 0.04 - o. Which is the nearest to 0? (a) 5 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 8.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**13*h*h**(-10\/3) assuming h is positive.\nAnswer: h**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 - 63*r + 14. Calculate m(-32).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(1*(36\/3)\/6*-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17774 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -262, -258, -254, -250, -246, -242?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 10) to base 5\nAnswer: -443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 4 (b) 2\/15 (c) -152 (d) 2 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.973 + -4.9275. Round n to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by (2 + (-880)\/(-33))*(-3)\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163991?\nAnswer: 163991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 391. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = u + 306. Let d be (4\/(-3))\/(4\/u). Suppose d + 2 = 3*y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 389, 883, 1483, 2189, 3001, 3919, 4943?\n\"Answer: 53*b**2 + 335*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 84787.01 weeks?\nAnswer: 51279183648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 + (-21)\/(273\/(-13)) is divided by (-3)\/9*(-1 + -140)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70951 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: Collect the terms in -2 + 812*l**2 - 474*l**2 + 1467*l**2 - 154*l**2.\nAnswer: 1651*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 35328.\nAnswer: -141312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 61 = -6*m + m, 6 = 2*z. Let w(s) = 5*s**2 - 4*s + 3. Let t = 53 - 52. Let y be w(t). Solve -y*n + 5*g + m = 1, -24 = -4*n - 2*g for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31293 + -24733. Does 205 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*h + 62 - 62 in the form m + r*h and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 31897*h + 1754332. What is n(-55)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 24144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 125 - 104.6. What is p rounded to 0 decimal places?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 309995 and 6895.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-10 + 4 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61 + 66. Suppose 5*r = -0*r. Suppose -3*v + 10 = -h*t + t, r = 4*v - 8. Which is the closest to 1\/2? (a) 0 (b) t (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 - 1. Let t = 13.1 + -17. Let q = 0.1 - t. Sort -1, q, r.\nAnswer: -1, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 6*j**2 + j + 5. Determine y(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 309.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 1073612 = 4*l, 7*l - 12*l - 4*h = -1342015. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 95*f - 194. Calculate n(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09991246 times -0.5?\nAnswer: -0.04995623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57629?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20032103 - -1132002?\nAnswer: 21230111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000 (base 6) in base 8?\nAnswer: -2420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 4 + 6 + -45 + 104 + 36\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12949 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/((-99)\/(-18)))\/((-444)\/5550).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2408, -4853, -7300, -9749?\n\"Answer: -k**2 - 2442*k + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(9 - 4) - (-98)\/34?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.7 and -9963606?\nAnswer: 9963600.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -36*n + 2. Let g(u) = -23*u**2 - 94*u. Determine g(a(f)).\nAnswer: -29808*f**2 + 6696*f - 280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + h + 13. What is the remainder when j(-10) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 27 = 5*q, q + q = -3*f + 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -715468, -2861852, -6439160, -11447392, -17886548, -25756628, -35057632?\n\"Answer: -715462*y**2 + 2*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12578713861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-1) - (-8 + 13). Let g(z) = -5*z**2 + z - 1. Let u be g(d). Let y(n) = 9*n**2 - 102*n - 95. Let w be y(12). Is w greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 13751029.\nAnswer: 3\/13751029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5\/36, -160, 7?\nAnswer: -5\/36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 598 and 396750.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u**3 - 17*u**2 + 121*u + 45. Calculate l(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or 4.451?\nAnswer: 4.451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3503726 is divided by 763.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4919432935 to the nearest integer?\nAnswer: 1701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + h**2 - h**2)*(-h + 5*h + h)*((2 + 0 - 1)*(-1 - 6 + 5) + 48 - 25 - 31).\nAnswer: 100*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71\/6 + 319\/30. Let x(z) = z**3 + 4*z**2 + 3*z - 1. Let u be x(-3). Is y not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4445 and 30?\nAnswer: 26670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2\/3 + 916*w\/3 - 922 = 0. What is w?\nAnswer: -461, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 + 21868\/693)*((-6)\/104 + 0).\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/79122 and -35\/16.\nAnswer: 632976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*s + 135652 = 132764 for s.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 21*b - 93. Let k be l(13). Suppose -k*i + 2066 - 328 = 0. What is the remainder when i is divided by 45?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/6*4\/3. Is a bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -815 + 1049. What is the highest common divisor of 54 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d - 102. Let f be r(20). What are the prime factors of 1\/f*-82 - (-4 + -1)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**6\/180 + 2*h**5\/9 - 23*h**4\/12 + 875*h**2. Let u(n) = 0. What is n?\nAnswer: -23, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + (6*(0 + sqrt(2057)))**2 + (3*(sqrt(2057) + -1) + sqrt(2057))**2)*-4.\nAnswer: -427892 + 1012*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 92*i**2 + 329*i + 5277. Calculate t(96).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 242895.153 less than -1?\nAnswer: -242896.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71685*r = -71594*r - 8099 for r.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9 (b) -0.255 (c) 2.8 (d) 3\/23 (e) -3\/7 (f) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 10:01 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**3 + 0*z**3 - 3*z**3 + (-5*z + 2*z + 2*z)*(7*z - 4*z**2 - 7*z) + 5*z - 19*z**3 - 5*z to u*z**2 + w + x*z**3 + o*z and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.12 - -4.88. What is the biggest value in 2\/7, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27703.3 * 235.9.\nAnswer: -6535208.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**2 - 5*m + 3. Let g be a(-2). What is the tens digit of (3 + 264)*(g - (-5 + 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**2 - 42*q - 364. Give y(16).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/6)\/(1\/3). Let q be ((10\/1)\/2)\/l. Let t be (2*1)\/((-2)\/(-5)). Solve -20 = -t*f + 5*h, 34 - 9 = -q*h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7235 bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 4\/(-22) + (-146)\/(-803).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 369668 and -7.\nAnswer: 369661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (((-4 - 5) + 5 - 6) + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 860906545 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/12545 and 15\/4?\nAnswer: 50180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10232 is divided by 1729?\nAnswer: 1587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 241*s + 22172. Give v(-92).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 4. Suppose 65 - 1 = 16*r. What is the second biggest value in r, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1268, 2642, 4014, 5384, 6752, 8118, 9482?\n\"Answer: -q**2 + 1377*q - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/84*9\/(-12)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -230 times 0.772\nAnswer: -177.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.35843 to two decimal places.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 - 24 = -p, 2*t - 5*p - 29 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 43*t**2. Let z(u) = 57*u + 1. Calculate z(i(a)).\nAnswer: 2451*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-6) + 319\/33. Suppose -2 = a*z - 2. Suppose 5*t = -3*c + 3*t + 26, z = 3*c + 5*t - 11. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 980*w**3 + 110*w**3 + 8 + (-w**2 + 0 + 0)*(0 + 0 - 2*w).\nAnswer: 1092*w**3 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3430155580 to the power of 1\/2, to the nearest integer?\nAnswer: 58568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 3. Let r = -0.012 + -47.988. Let w = -47 - r. Which is the nearest to 0.2? (a) p (b) w (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495) - (sqrt(495) - -1*sqrt(495)))\/((sqrt(15)*2)\/sqrt(3) - sqrt(5))*6 - (4*(-6*1*sqrt(176) - (sqrt(176)*1 + 2 - sqrt(176))))**2.\nAnswer: -101440 - 1554*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 637*(-408)\/37128*(54\/(-56))\/((-2)\/(-16)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -44*y**2 + 10*y + 11. Let u(b) = -15*b**2 + 3*b + 3. Let p(w) = -2*j(w) + 7*u(w). Give p(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 9:57 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2265 = 3*z - 4*f, 2*f = -4*z + 9042. Suppose 0 = r + 4*y - 961, 3*y - z - 1531 = -4*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnddnnnnmnmdmmdd. Give prob of sequence dmn.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2 + 4*t + 0 - t + 1. Let r be g(2). Find the second derivative of 2*k**5 - 7*k + 9*k - k**5 + 2*k**r wrt k.\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 49.\nAnswer: 49.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*i + 44. Let b = -11 - i. Suppose 0 = 4*a - b*k - 697 - 559, -628 = -2*a + k. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6099.5 + 5913. Round s to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6771941 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 66693865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9492 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3436 - 316 = -3*i. Let s = 1909 + i. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/72 and 127\/27468.\nAnswer: 54936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671083 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 570362?\nAnswer: 2, 13, 21937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dt when two letters picked without replacement from aagtobgdbgggb.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**3 + 59*k**2\/3 + 184*k\/3 + 176\/3 = 0.\nAnswer: -4, -11\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g**3. What is c(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i\/(i*i**1)))\/i*i\/(i**(1\/5)*i)*(i*i\/(i\/(i\/(i**(-5)*i)*i)))\/i**(-3\/4) assuming i is positive.\nAnswer: i**(131\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/((-816)\/240))\/(60\/(-1032)).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -672\/516209 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + -0.3. Let d = -22.2 - -19.2. Let p = -0.05 + 4.05. Which is the closest to -1? (a) d (b) k (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/7 - 898*m**2\/7 - 1790*m\/7 - 894\/7.\nAnswer: -2*(m + 1)**2*(m + 447)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 44.47\nAnswer: 88.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198 and 185438.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -2.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*z - 49*z + 16 = 2*q, 4*z + 16 = -4*q. Solve 3*d = 2*w - 2, 0*w + 12 = 2*w + q*d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 885154.9 litres in millilitres?\nAnswer: 885154900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -55\/7, -2\/15, -0.4, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -10, -0.3, 0.27?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + y + 568 = 3*y, -4*r = 2*y - 1126. List the prime factors of r.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i\/(((i*(i*i\/i**(-10))\/i)\/i)\/i)*i))\/i**(6\/5))\/(i**(-2)*(i**(-2\/31)\/i*i)\/i*i) assuming i is positive.\nAnswer: i**(1684\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/750 and -97\/4?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144\/112)\/(((-6)\/7)\/(-6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3 - 13\/(-3). Suppose 2*f = f + p. Let g = -1 + f. Sort -3, g, -5 in decreasing order.\nAnswer: g, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/1832 and 71\/2560?\nAnswer: 586240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*v - 55. Let d = 19 + -18. What is the least common multiple of v and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662742416.\nAnswer: 2, 7, 17, 89, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -5*l - 4*v + 584, 0 = 2*l - v - 233. Let c = -75 + l. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aggaioagaiaocasaaaac. What is prob of picking 1 s and 1 c?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5*h + 50, 4*h + 0*h = 4*r. Let y(m) = 12*m**2 - 4*m + 7. Let t(g) = 8*g**2 - 3*g + 5. Let q(j) = r*y(j) + 7*t(j). Factor q(a).\nAnswer: -a*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*z**3 + 24780 - 49604 + 24787.\nAnswer: -146*z**3 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 317*b - 8 - 5*b**2 + 9 - 1 - 4 as u + c*b + j*b**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 9:44 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17410139 to the nearest integer?\nAnswer: 4173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -108.13 - -109. Let f = n - 1. Let b = f - -0.185. What is b rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1127993 is divided by 107.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-335)\/(-1) - -5 - 1 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2368, -0.5, -7, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -66, -33, 11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a factor of 1755688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-8)*68\/(-17). Let v = 65 + -62. Differentiate -86*r**3 - 26*r**4 + 86*r**v + p wrt r.\nAnswer: -104*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1581832545.\nAnswer: 3, 5, 3673, 28711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -44, 5, 3.\nAnswer: -44, -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6593208 by -3.\nAnswer: -2197736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 858 is divided by (-9 + 23)\/(-7)*(-129)\/6?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdtd when four letters picked without replacement from {t: 7, d: 2, m: 1, q: 4, s: 1}?\nAnswer: 1\/2340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**4\/6 - 10*f**3\/3 - 21*f**2 - f + 17. Let g = -33 - -63. Calculate the lowest common multiple of g and p(12).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 at most as big as 1883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/(-12)*(-272)\/(186048\/(-9747))\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-12) + 37961\/(-174). What is the common denominator of -68\/27 and 4\/(-10) + p*(-12)\/(-720)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 + 1525019.\nAnswer: 1524960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3675 or 1?\nAnswer: 2\/3675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2\/3 + 83045*u\/3 - 804170.\nAnswer: 5*(u - 29)*(u + 16638)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -27 + 175\/6*c**3 + c + 0*c**2 + 95\/6*c**4. Find the second derivative of s(a) wrt a.\nAnswer: 380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 254*g**2 - 2*g - 2. Is c(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 4*d**2 - 5*d + 7. Determine i(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 9*m**2 - 5*m. Let o(d) = -2*d + 20 - 8*d**2 - 20 + 8*d - 2*d. What is 5*o(x) + 4*y(x)?\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31586?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10760, -21510, -32260, -43010?\nAnswer: -53760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*y**2 + 5*y + 117*y**2 + 47*y + 41*y - 93*y - 97*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a millennium in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 7*k**2 - 11*k - 11. Let j be c(-8). Suppose -2*g + j = -r, 4*r + 3 + 1 = -4*g. Solve g*i - 28 = -5*q - 5, -4*q = -3*i - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 13*k**2 + 2*k + 8. Let b be h(8). Suppose 17*c - b = 9*c. Suppose 2*v = -p + 187, v = -0*v - 5*p + c. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 23*d. Let a(k) be the first derivative of 2*k**3\/3 + 117*k**2\/2 + 1214. Calculate q(a(t)).\nAnswer: 46*t**2 + 2691*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11801 - 11799.44. Which is smaller: g or 1.9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7*(-24)\/(-252) + (-40)\/(-6). Let t(n) = n**3 - n**2 + n - 2. Let h(i) = -21*i**3 + 56*i**2 - 51*i + 22. Let b(s) = d*t(s) + h(s). Factor b(c).\nAnswer: -5*(c - 2)*(c - 1)*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*o = -4, w = -o - 2*o - 6. Let y(x) be the third derivative of 1\/40*x**5 + 1\/240*x**6 + 3*x**2 + 1\/12*x**3 + 0 + w*x + 1\/16*x**4. Factor y(u).\nAnswer: (u + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002704501 to seven decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27a0 (base 11) to base 12.\nAnswer: 2117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 13, c: 3, u: 1}. What is prob of sequence udd?\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.074 - 2.974. Let f = -0.9 - b. Sort f, -1\/9, 1 in descending order.\nAnswer: f, 1, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 0) + 19\/(-10). Let q(o) = 7*o - 63. Let a be q(9). Is a bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 7 = -4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 636\/48 - 15 - 155232\/(-1152)?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18281 + -17973. Solve 0 = -9*d - 317 + r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22875\/4 + -5718. Which is the third smallest value? (a) 5 (b) -1\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59714, 119429, 179144?\nAnswer: 238859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17679179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11\/6 + -4\/3. Let g be 2\/(-5) - 14\/(-60). Sort p, g, -0.1 in ascending order.\nAnswer: g, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 + 4. Let c be a(-10). Let w = c - -390. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5509896, 5509897, 5509898, 5509899?\n\"Answer: t + 5509895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 3:12 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/(-2046))\/((-104)\/(-1612)). Suppose -4\/11*i**3 - 1\/11*i**4 + 0 - 5\/11*i**2 - t*i = 0. What is i?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 388 or 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7022311253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1428 (b) 163 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-31 + 1)*72\/20. Let x = d + 679. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**11\/t*t\/t**(-2\/21)*t**(-11)\/t*t*t**(1\/3))**(-6\/13) assuming t is positive.\nAnswer: t**(-18\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from {q: 3, i: 1, p: 3, r: 3, h: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 119, 3, 0, 7, -15, -238 in ascending order.\nAnswer: -238, -15, 0, 3, 7, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/60 and -113\/120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - 1*(-3 + 13). Let n be (1 + -1 + 6)\/(w\/(-724)). Suppose 7*f = 738 + n. Is f a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**1*j)**(-8)\/((j*j**(-11))\/((j\/(j\/j**2))\/j)))**(-28) assuming j is positive.\nAnswer: j**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 6. Suppose 15 = -17*d - 121. Sort b, 1, d in ascending order.\nAnswer: d, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (311\/(-2173) - (-908)\/18614)*11\/((-275)\/2).\nAnswer: 2\/265","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2239877369 to the nearest integer?\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 90\/35 + 4\/(-7). Solve 2*y = -3*b + 4, -4 = o*y - y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6597157 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 103.6725292 to two decimal places.\nAnswer: 103.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (9 - 5) + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 8*h**2 - 9*h - 18. Let s be z(-7). Let f(w) = w**3 + 3*w**2 - w - 1. Give f(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 88683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + 2\/3*30. Suppose -5*x = -k - 19. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83 - 27. Let f = 53 - c. What is the second smallest value in 3, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 (base 12) in base 3?\nAnswer: 10022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 204*b*d*p**2 + 503*b*p + 20*d*p**3 - p**3 wrt d?\nAnswer: 204*b*p**2 + 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 take away -4939371209016?\nAnswer: 4939371209009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3. Let d(g) = 78*g**3. Let y(k) = -2*k**2 - 13*k + 254. Let q be y(-15). What is q*d(j) + 65*w(j)?\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/15 - (-36)\/(-15). Sort 5\/8, q, -2\/7 in decreasing order.\nAnswer: 5\/8, -2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 14*k**2 - 13*k - 22. List the prime factors of q(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1098*h**5 + 2579*h**4 - 322381*h wrt h.\nAnswer: -21960*h**3 + 30948*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -1. Let a(g) = 10*g**3 - g**2 + 2*g + 5. Let d(v) = a(v) - 2*j(v). What is the units digit of d(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 21 - 5*u**2 - 14*u - 2*u**2 + 6*u**2 - 10. Let m be s(-15). Put m, 3, 5 in descending order.\nAnswer: 5, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/71 - 357\/142. What is the third smallest value in -2, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -523 in 5, -13, 1\/8?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*y - 16*y**3 - 44*y.\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62974.\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -38*s + 35*s, -4*s = -3*c + 4*c + 13 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -5) + (93 - 141 - (6 - 0)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 10233965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -4*o**2 + 0 + 0*o + 0*o**3 + 1\/4*o**4. What is d(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*s - 71 = 37, 0 = -3*s + 9. Calculate the remainder when p is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 divided by 39?\nAnswer: 457\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3186.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (50\/(-15))\/((-1)\/753). Let h = 161 + z. Suppose 476 = i + u, -4*u = 5*i + 289 - h. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -37*c - 1. What is the lowest common multiple of (-2)\/(-9) - (16\/(-21))\/(126\/2940) and g(-1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 47 = 17. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3295*p + 1898*p + 1787*p.\nAnswer: 390*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 11 = 19. Let k(d) be the third derivative of d**4\/24 + 2*d**3\/3 + 2*d**2. Calculate k(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308031 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 8:45 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v - v + 3*v)*(5 - 6 + 13) to r*v + w and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.5 (c) 171 (d) -2\/5 (e) 2 (f) -0.022\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4*v + 15, h + 20 = 3*v + 2*v. Put -3, 4, h in decreasing order.\nAnswer: h, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 3*l**2\/2 + 1. Let y(j) = -4*j**2 + 3*j. Let k(i) = -3*i**2 + 2*i. Let u(n) = 6*k(n) - 4*y(n). Give u(s(h)).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5 = -2*o, 0 = -4*o + 6*n - 2*n - 32. Let p(s) = -15*s**3 + 15*s - 5. Is p(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -14 - 7) + (5 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*o + 3. Let n(y) = 1796*y - 34134. Let i be n(19). Put i, o, 5, -4 in increasing order.\nAnswer: i, -4, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 114 + -65. Let n = 45 - g. What is the third biggest value in -7, n, -0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -35d98a - c?\nAnswer: -35d997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*n + 301 - 175. Let l be (-18)\/(-3) - (15 - n). What is the greatest common factor of 155 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93 - ((-2 - -1) + 2 - 0)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, i: 3, p: 1}. What is prob of sequence ihh?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.7 - 3.7. Which is the nearest to h? (a) -2 (b) -0.1 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -1162*y - 334. What is the thousands digit of f(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 709 - 86. Suppose 3*a + p = -218. What is the units digit of 9\/12 + a\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-474)\/(-59) - (1554 - 1546)\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k - 11. Give i(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -5 = -59\/1720?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*q - 250 = 0, -2*k + 0*k - q = 258. Let p be k\/(-55) - (-4)\/(-2). What is y in 2\/11*y**2 + 6\/11*y + p = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 + 3*k**2 - 12*k**2 - k**2.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) 7 (c) 5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16309549, 16309551, 16309553, 16309555, 16309557?\n\"Answer: 2*v + 16309547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 8*s + 5. Let v(k) = k**2 - 1. Let w be v(1). Suppose 3*z + 2*g + 24 = -w*z, -4*z + 4*g - 32 = 0. Let d be l(z). Which is smaller: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1411592 and 245.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**4\/12 - 11*k**3\/6 - 6*k**2 + 4*k. Is 6 a factor of g(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -5.\nAnswer: -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*p**3 + 150*p**2 - 150*p**2.\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/t**(-32)))\/(t*(t*t\/((t*(t**(4\/5)\/t)\/t*t*t)\/t)*t*t*t)\/t*t)*(t\/((t\/((t*t**(-4\/11))\/t))\/t))**(-2\/73) assuming t is positive.\nAnswer: t**(-153443\/4015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 6*n**2 + 4*n + 2. Let q be p(4). Let x be -11 - (9 - (11 + 8)). Let g be x\/q*4 - (-200)\/35. Are g and 6 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 1. Calculate the remainder when 35 is divided by v(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 154.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95949649.84 + 95949681.240000282. Let z = g + -31.4. What is z rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -183 - -3?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*y - 10. Let q be (-6)\/y*(-20)\/(-8). What is the second biggest value in q, 0.4, 5\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-7 - (-75)\/6). Solve -6*v + g*v - 10 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 514a0 + 0?\nAnswer: 514a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**2 - 3*c. Let a(p) be the third derivative of 1\/6*p**4 + 29*p**2 + 0*p**3 + 0*p + 3 + 1\/30*p**5. What is 5*a(m) + 6*q(m)?\nAnswer: -8*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32910 = -372*j - 725*j for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.086 and 20.4.\nAnswer: 20.314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -72, -93, -118, -147?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8639 divided by -53\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**2 - x**2 + 3*x**2 + 102*x**5 + 50*x**5 + 6 - 2*x**4 + 40*x wrt x?\nAnswer: 3040*x**3 - 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-0.028.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*y + 158*y - 78*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 112021010 (base 4) in base 5?\nAnswer: 10400232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 15*o + 2. Let y(w) = 180*w + 25. Let i(r) = -25*u(r) + 2*y(r). Let a(t) = -8*t - 26. Let h be a(-4). Let q(s) = h*s - 4*s - 3*s. Give i(q(p)).\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4 = 6. Let o(f) = -f**2 - 2. Determine o(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 866 (base 15) to base 14.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 0.2, -5, -5117, 0.3, -38?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*g**2 + 3*g**2 - 2*g**4 + 5*g**2 + (g - 2 + 2)*(3*g**3 + 0*g**3 - 5*g**3).\nAnswer: -4*g**4 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-4) - 1797\/(-12). Let n = o + -90. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20101495.\nAnswer: 5, 29, 157, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*t - 8. Suppose 3*n - 5*c = -37, -n - t*c = 14 - 35. Let s be (-2 + 9)\/(5 + n). Solve 10 = -s*b + 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from cccffcfc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.8+9.4\nAnswer: 10.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2 = -3*i - 0*i, 4*i = -2*j + 12. Solve -i*s = 4 + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97*g - 3 + 194*g + 2 + 1 to the form t + i*g and give i.\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3\/3 + 38*c**2\/3 - 64*c + 96 = 0. What is c?\nAnswer: 3, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**5\/5 + 11*t**4\/2 - t**2 - 134*t. Find the third derivative of s(c) wrt c.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -41. Suppose 5 + 5 = -5*r - u*i, 0 = -2*r + 4*i - 30. Which is bigger: r or -6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164069 and 382.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/7 (b) 4\/19 (c) 0.26 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 6:18 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y = -11*y. Let z be 8\/4*((-2 - -1) + y). Let g be 247 + (-15)\/(-5) + z + 4. What is the highest common factor of g and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000 - 101?\nAnswer: -100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17342870 divided by -10.\nAnswer: 1734287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 257, 1007, 2059, 3419, 5093, 7087, 9407, 12059?\n\"Answer: v**3 + 145*v**2 + 308*v - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -2277 + 2277.02. Put 2\/11, -0.4, m, 0.4 in descending order.\nAnswer: 0.4, 2\/11, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21674553.\nAnswer: 3, 97, 211, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + 29. Let a = 1.6 + -2. What is the second smallest value in -5\/7, t, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -611362*m**2*x**3 + 12070*m**2*x - 3*m**2 + 2*m + 2 wrt x?\nAnswer: -3668172*m**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 + 4 + 1 + 1 - 3 - 1 + 3 - 3 + (4 - 1 - 2)*(-1 - 1 + 4))*(j - j - 2*j).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**3 + 0*y**3 - 2*y**3 + (-27 - 24 + 48 - y)*(4*y + 0*y + 3*y)*(-11 + 11 + 5*y) to q*y**2 + d + v*y**3 + s*y and give v.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 10*j - 36. Suppose 4*q - 12 = 8, u + q = 11. Is p(u) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - -0.1. Sort y, 2\/19, -2\/7.\nAnswer: -2\/7, 2\/19, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/350 and -119\/650.\nAnswer: 4550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 - 168\/20 - (-12)\/(-20). Which is greater: a or 2\/2161?\nAnswer: 2\/2161","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6*((-189794)\/44 - -1) a multiple of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -8\/19, -2, -1\/46, -1, -5, 15\/8, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3251 is divided by 148 + (-77)\/(-24 - -13)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4 + 4 - 2 - 24*x. Suppose 3*n = -b + 12 - 14, 8 = 2*b. Is v(n) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*c**2 + 213*c**2 - 4*c**3 - 115*c**2.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 7*f + 0*f**5 + 62\/3*f**3 - 25\/6*f**4 - 1\/60*f**6 - 8*f**2 + 0. What is the first derivative of y(l) wrt l?\nAnswer: -6*l**2 - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4)*(-2 - -8). Solve 2*r - 5 = -f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o - 25. Let h be f(-17). Let a(y) = y**3 + 7*y**2 - 11*y - 20. Let q be a(h). Sort q, -2\/15, 0 in ascending order.\nAnswer: -2\/15, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/69440 and -57\/2248.\nAnswer: 19512640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6570415?\nAnswer: 5, 17, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42230057*x - 14890800 wrt x?\nAnswer: 42230057","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2668 and 276?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5895, 6046, 6299, 6654?\nAnswer: 7111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39.419 - -39.28. Let u = 0.038 + -0.099. Let q = d + u. Sort 0, q, 0.1, -1\/3 in ascending order.\nAnswer: -1\/3, q, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2444*c + 57*c**2 - 24*c**3 + 23*c**3 + 2 - 2481*c - 2 - c**4 wrt c?\nAnswer: -12*c**2 - 6*c + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 612, 266, -8, 11 in decreasing order.\nAnswer: 612, 266, 11, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 254.3 - 248. What is t rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 30*m**2 + 829*m - 335. Calculate p(-28).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289948?\nAnswer: 2, 173, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -150 + 160. Suppose -9*h = -a*h + 192. Is 28 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 2*r + 3*b - 107, -b = -1. Find the second derivative of -r*g**5 - 2 - 412*g**3 + 412*g**3 - 41*g wrt g.\nAnswer: -1040*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*w + 90*w - 167*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 5) in base 6?\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/3)\/((-66)\/352)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*r + 114*r - 18*r)*(-4*r + 4*r - 17*r**2) + (1 - 1 - r**2)*(3*r - 6*r + r) + 0*r + 0*r - r**3.\nAnswer: -1801*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from inzfzjfzjfziiijinz.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/(-10))\/1)\/(94\/(-235))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((5\/(-2))\/(((-7144)\/57)\/(-47))).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 3*k - 24 = -6, -4*u - 3*k - 18 = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**4\/12 + c**3\/6 + 2*c**2 + 367*c. Calculate q(-8).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -7*c + 12 + 8. What is the nearest to 465 in c, 3, -1, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -134 - -184. Let g be 69*(d\/15 + -3). Solve 5*y + 3 = g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 798956529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.04195 kilograms to grams.\nAnswer: 72041.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -12*p + 20. Factor -5*d**5 + 11*d**3 + 2*d - 2*d + 10*d**p - 16*d**3.\nAnswer: -5*d**3*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1073 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - g = -2, -3*i + 5*g - 8 - 2 = 0. Let k = -338.6 - -300. Let p = k + 39. Which is the third smallest value? (a) -5\/3 (b) i (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -4, -3, -1.23, -0.1.\nAnswer: -4, -3, -1.23, -2\/15, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6444 times -0.52021?\nAnswer: 3352.23324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 549 - 543. Let d(t) = -t**3 + 3*t**2 + 2. Let r be d(3). Solve 4*q + u = -r*g - 8, 4*g = -5*q - 22 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-15)*1 + 33\/55. Let i be (l - (-10)\/(-12))\/((-4)\/18). Which is the closest to -1? (a) i (b) -4 (c) -0.4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/7*h**5 - 4\/7*h**2 + 0 + 0*h - 2\/7*h**3 + 4\/7*h**4 = 0. What is h?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(24) + sqrt(18))\/(sqrt(405)\/sqrt(5)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -187 - -192. Which is the second biggest value? (a) 851 (b) r (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115450 and 550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6+-42.58099350381\nAnswer: -48.58099350381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*k - 1076 + 2189 = -49*k + 1234 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1, 2\/9, 35?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.235438099 - 0.2.\nAnswer: -0.435438099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.8 + -4.3. Let g = -5.3 - l. Let c = -8 - g. What is the closest to c in 5, -0.2, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2))**(-1\/20)*(f*f**(1\/6))\/(f*f*((f**(-5)*f)\/f)\/f*f) assuming f is positive.\nAnswer: f**(64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/7 - 13) + -1\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100 - 2004?\nAnswer: -2104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/17 (b) -0.3 (c) -6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 0*k - 50 = 5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, 0.21, 0, -0.5?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 2. Let l = -31 - -74. Let j = l + -42.9. Sort -3\/2, j, c in decreasing order.\nAnswer: j, c, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 20*l - 172. Calculate y(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.06 (b) -4 (c) -0.64 (d) -6 (e) 2 (f) 0.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17593304*j**5 - 24*j + 423798 wrt j.\nAnswer: -351866080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - -2)*-2*(-3)\/4. Suppose 500 = o*m - 4*m. Is m a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436035 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + h)*(2 + 1 + 3)*(3 + 2 - 3) as g*h + i and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 25 (c) -3245\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 5 + 15. Let j be 5 - 1 - 0\/y. Let w = -160.01 - -160.21. Sort j, 0.06, w in decreasing order.\nAnswer: j, w, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2258 - 2254. Let c be (j - (-4 + 11)) + 7. Factor -4\/7*t**2 + 0 + c*t.\nAnswer: -4*t*(t - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -55*1*6\/(-2). Suppose 2*r - 2*n + 0*n - 70 = 0, -5*r = 5*n - p. Calculate the remainder when r is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -39*n**3. Let z(c) = -13*c**3. What is -2*s(j) + 7*z(j)?\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -0*y - y + 15, n = -3*y - 20. Suppose 3*m + 5*d = 66, -13*m - d - 9 = d. Put n, 2, m in descending order.\nAnswer: 2, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 4*r + 32 = 0, 0 = -3*f - 2*r - 6*r - 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151799 is divided by 575?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 7:23 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 - -4.5. Let v = u + 3.5. Let h = -25.7 - v. What is the second biggest value in 0, -0.3, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292024 = 15751*b - 15759*b. Calculate the highest common divisor of b and 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -44, -38, -20, 16, 76?\n\"Answer: j**3 - j - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -191*w**3 - 1832*w + 192*w**3 - 1900*w + w**2 - w**2 + w**3 + (2*w - w + 0*w)*(-2*w**2 - w**2 + w**2) + 0*w**3 + 0*w**3 - 2*w**3.\nAnswer: -2*w**3 - 3732*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38283 - 10062 = 89*w + 320*w for w.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10 + 134)\/8*3\/6. Let q(x) = -x**2 + 16*x + 5. Let y be q(16). What is the highest common divisor of y and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -166. Let p = g - -166. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 23. Let m(x) = x**3 - 2*x**2 - x - 2. Let j be m(3). Suppose 4*p = 7*b - 9*b + 46, -5*p = -j*b + 66. Let r be t(b). Solve -r = 2*h + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 0.2217.\nAnswer: 0.6217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1183801, -1183811, -1183797, -1183747, -1183649, -1183491?\n\"Answer: 2*i**3 - 24*i - 1183779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = f + t, 0 = -2*f - 4*t - 54704 + 54686 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31091900 rounded to the nearest one hundred thousand?\nAnswer: -31100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1154665032*-0.1\nAnswer: -115466503.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**4\/4 - 11*a**3\/3 - a**2\/2 + 11*a + 3693. Suppose c(f) = 0. Calculate f.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 4*c**2 + 1. Let n = -2 + 4. Let y be g(n). Let x = 15 - y. Are x and 7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133030 + -102?\nAnswer: 132322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2aa7a (base 13) to base 7.\nAnswer: 454545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -4*v - 1\/100*v**5 + 1\/60*v**4 + 8\/15*v**3 - 32 - 8\/5*v**2. Solve h(f) = 0 for f.\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 375 and 1400745.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**5\/17 - 2086*y**4\/17 + 59436*y**3\/17 - 576396*y**2\/17 + 2080566*y\/17 - 91854 = 0.\nAnswer: -1071, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -822? (a) 141 (b) 5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -6, 7*x - 2*h = 3*x - 4. Let p = 2 - x. Let i be (-12)\/4 + 3 + 1. Sort 0, p, i.\nAnswer: 0, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1947 - 1314. Let u = h + -341. What are the prime factors of u?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 0*v**6 + 0 + 0*v**3 + 1\/112*v**8 + 2*v**2 - 1\/10*v**5 - 1\/8*v**4 + 0*v + 1\/35*v**7. What is t in k(t) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4047 and 67?\nAnswer: -271149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 22*m**2 + 25*m - 89. Let f be n(23). Sort -4, f, 1, 4.\nAnswer: f, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 409, 816, 1251, 1714?\nAnswer: 2205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**3 - 8*i + 2*i**3 - 7*i**2 + 9*i - 4*i + 10*i**2. Suppose r - 1 = 0, 3*b - 4*r - 1 = 4. What is l(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 220*u + 5063. Let g be p(-23). Solve -3 = g*h - 3*d + 6, 3*d - 12 = 4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 127*m*v**3 - 75*m*v**2 + 2*m*v + 2*m + 8*v + 90 wrt v.\nAnswer: 762*m*v - 150*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 31, -9, 3, 1123, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/6, 2, -5, -2072, -0.2, 1 in decreasing order.\nAnswer: 2, 7\/6, 1, -0.2, -5, -2072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 36. Let x(s) = s**3 + 3*s**2 + 2*s + 2. Let w be x(-3). Let z = w + u. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z + 2*z - 4*z)*(2 - 2 - z)*(3 + 4 + 2)*(0*z + 2*z - 3*z)*(1 - 2 - 1) in the form p*z**2 + a*z + j + q*z**3 and give q.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvv. What is prob of sequence vvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*j**2\/7 - 15*j\/7 - 12\/7 = 0. What is j?\nAnswer: -4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/(99\/(-12))*5523\/(-2). Let d = 7688 - q. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 5*o - 7. Let w(p) = 2. Let u(y) = 5. Let v(c) = -3*u(c) + 7*w(c). Let b(q) = -h(q) + v(q). Let f be b(-6). Is -1\/4 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22505365*-0.12.\nAnswer: 2700643.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -3. Let j be (1\/m - 2)*-4. Suppose j = 4*y + y. Solve 0 + y = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3916260 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-49)\/k*k*k)**1*k\/(k\/k**(3\/16))*k**34 assuming k is positive.\nAnswer: k**(-221\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 5. Let u = 4 - 4. Let k(b) = 154*b - 307. What is the least common multiple of k(2) and s(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26*(-3)\/(-6)*1 and 2\/6*2\/((-8)\/(-60)).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -3. Let b be (u\/6)\/(2\/6). Suppose -v + 28 = 4*v - 3*i, -i = -v + 6. Solve -d = 3*x - b*d - 2, -4*x - 12 = -v*d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -c - 0. Suppose 0*h + 180 = c*h. Suppose 186 - h = 5*m. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 5) to base 16\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (226 + -219)*(-1 - 0)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31770706 to the power of 1\/2, to the nearest integer?\nAnswer: 5637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 150535 (base 6) in base 8?\nAnswer: 34173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*r - 5*s, s + 66 = 5*r + 5*s. Suppose 5*l + r = 0, -4*l = -b + 5 + 6. Solve 6*x - b*x - 3 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*z = 20. Let u be (-46)\/z - 1\/2. What is the units digit of ((-4)\/(-12))\/((-2)\/u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 314*l**2 - 29*l + 31. Let m(d) = 81*d**2 - 7*d + 8. What is -6*j(t) + 23*m(t)?\nAnswer: -21*t**2 + 13*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -26 (b) -0.5 (c) -1.3 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 226 - 161. Calculate the remainder when r is divided by 8 - (-4 + (2 - 1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2348 and -2350 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13034 and 25382.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-2)*(-6)\/((-24)\/(-7))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-2) - -3)\/(8\/(-80))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3 - 11. Calculate the lowest common multiple of p and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 83450?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2679*f + 40 = 2671*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4}. What is prob of sequence bbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/517 (b) -2\/9 (c) 0 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + -7 - -11) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11641286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v - 4. Suppose 2*w - 2*g + 8 = -0*w, -5*w = -g + 16. What is the least common multiple of q(w) and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-237)\/(-12))\/(254\/(-418)). Let u = o - -1\/508. What is the common denominator of 83\/12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -22. Suppose 0 = -2*g - 2*z + u, -3*g = -2*z - 19 - 15. Let l = 36 + g. Calculate the remainder when l is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55.809539 + 0.101461. Let g = -0.789 - o. What is g rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(19) + 0)**2 - (sqrt(19) + 0 + (sqrt(19) - sqrt(76)\/sqrt(4)))**2.\nAnswer: 4 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14660 divided by 20.\nAnswer: -733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 61954 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 840 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 78. Let r be -2 - (-2 + q - -1). Calculate the highest common factor of 261 and r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18881 - 2?\nAnswer: 18878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*(0 + 0 + sqrt(475)) + 3.\nAnswer: -50*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 + -401?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.274, 314, 3\/4?\nAnswer: -0.274","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -1607?\nAnswer: 6\/1607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0083665 to five decimal places.\nAnswer: -0.00837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -9*b - 2. Let d be p(-4). Let y = -20 + d. What is the lowest common multiple of 8 and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1593 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*i = -109*i + 7, 2*r + 2*i - 36694 = 0. What are the prime factors of r?\nAnswer: 2, 5, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -30. Is k greater than or equal to -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1906468, 0.4.\nAnswer: -1906468, -4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -262, -1432, -3382, -6112?\n\"Answer: -390*b**2 + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from ffmmmfmffmffmmmmffmf.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 216*w**3 - 27*w**2 - 27. Let j(g) = 31*g**3 - 4*g**2 - 4. Let x be (4\/6)\/((-5)\/(-10))*495\/165. Give x*h(i) - 27*j(i).\nAnswer: 27*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + (4*(-1 + (sqrt(2057) + -1 + sqrt(2057))*6))**2).\nAnswer: -59136*sqrt(17) + 9480226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 126 = -549. Suppose 132 = r + q. Which is the second smallest value? (a) 0.2 (b) r (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1222, -8990, -30106, -71242, -139070, -240262, -381490, -569426?\nAnswer: -810742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34350089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = o - 3*o. Let c(r) = o*r + 0 + 0. Let h(i) be the second derivative of -2*i**3\/3 + 198*i - 2. Give c(h(m)).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123181, -246362, -369541, -492718?\nAnswer: -615893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (613 - 608)*26\/(-10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 9. Let d be (-20)\/12*3*r. Suppose -79*y + 76*y - 69 = 4*n, -5*y - 4*n = 131. Do d and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7206.151702 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9551*d + 9534*d - 85 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -180*p**4 + 2*p**3 - 6*p**2 + 94*p - 754073 with respect to p.\nAnswer: -720*p**3 + 6*p**2 - 12*p + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -5. Let m(t) = -5*t + 3. Let b = -8 + 4. Calculate the remainder when m(b) is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68 * -2987.\nAnswer: 203116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45380 (base 9) to base 16.\nAnswer: 75fc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -4 + 3)\/(-8). Let s(u) = -u**2 + 4*u. Let a be s(4). Which is smaller: a or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1833604 is divided by 3001?\nAnswer: 2994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (3 - (2 - (4 - 0)))) + (-333 - -421).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 7 = 4*b. Let t be 3\/4 - (-2)\/b. Factor 1\/2*x**3 + 1\/2 - 1\/2*x - t*x**2.\nAnswer: (x - 1)**2*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22211121002210 (base 3) in base 10?\nAnswer: -4696293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-2 + (-6)\/(-4)). Let q(m) = -m - 3. Let k be q(-5). Let l(t) = -2*t + 4 - t + k*t. Calculate l(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zypzpzpzpzzpzzpyzyy. Give prob of picking 1 z and 1 y.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/518 and -27\/112.\nAnswer: 4144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, -3 in decreasing order.\nAnswer: -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 5*w**2 + 6*w + 1. Let p be v(-6). Let h(r) = 12*r - 1. List the prime factors of h(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 67 - 7*x**2 - 9*x + 6*x + 4*x - x in the form w + m*x**2 + r*x and give w.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 8*w**2 - w + 11. Determine c(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 0.08, -6.6, -3, 3 in decreasing order.\nAnswer: 3, 0.08, -1\/5, -3, -6.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a + 96. Let s be u(9). Let k be 5 - 10\/s - (-2)\/12. Solve -3*f + 2 = k*r, 0 = 5*f - 0*r + r - 18 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 37731, 75479, 113227, 150975?\n\"Answer: 37748*p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6129, 5, 2 in increasing order.\nAnswer: 2, 5, 6129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (5 - -1) + 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34952\/217 - -5064\/31. Factor 4 + 2\/7*i**3 - h*i**2 + 10\/7*i.\nAnswer: 2*(i - 7)*(i - 2)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f - 20. Let b be l(12). Suppose -3*v + 30 = 5*x - 19, -35 = -b*x - v. What is the highest common divisor of 24 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010618452 rounded to 7 decimal places?\nAnswer: -0.0001062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 10 + 6*b + 7*b.\nAnswer: 12*b - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05374863 rounded to 5 decimal places?\nAnswer: 0.05375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*a + 60*a + 13*a - 1 + 83*a - 130*a.\nAnswer: 80*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of 7\/60*g**5 + 0*g**6 + 0 + 0*g**4 + 1\/210*g**7 + 2*g**2 + 0*g + 0*g**3. Find the third derivative of j(q) wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 - 2*h**2 - 3*h - 3. Let a(l) = l**2 + 6*l - 3. Let n be a(-6). What is the tens digit of x(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 3*z = 15, -34 = -4*b + 3249*z - 3248*z for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 183\/9 + (-5)\/15. Suppose 2*y + 3*y = h. Suppose -y*n - 4*d + 116 = 0, -4*n + 116 = -9*d + 5*d. What are the prime factors of n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -559.7 + -250.5. Round w to the nearest ten.\nAnswer: -810","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 + 0 + (4 - 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 4*q**2 + 3*q + 2. Let l be p(3). Let z = 6.16 - 0.16. Let w = z + -11. Which is the smallest value? (a) 0 (b) l (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*q - 105*q + 329*q.\nAnswer: 317*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3633041000.\nAnswer: 2, 5, 3633041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4765495 and 5.\nAnswer: 5.4765495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37610666 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 1413554.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 301, 632, 1095, 1690, 2417?\nAnswer: 3276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 107082773 and 68155.\nAnswer: 107150928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 7. Suppose 2 = -3*s + l. Let i(k) = -1 + 7*k + 3 + 0*k + k**2 + s. What is i(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 631 (b) -7 (c) -3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(7\/6)*o*o*o\/((o**(2\/35)\/o)\/o*o))**(-23\/4) assuming o is positive.\nAnswer: o**(-24679\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 6. Let d be r(-3). Suppose -2 + 7 - 26*h**3 - 25*h + 40*h**2 + 6*h**d = 0. What is h?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 2\/19, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/6 + 2\/(-3). Suppose -9 = 3*u, 0*u = -3*c + j*u + 9. Let l = 1 + 7. Calculate the greatest common factor of l and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2270000 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, j: 2, d: 4}. What is prob of picking 3 d and 1 s?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/3, -20.67, -64?\nAnswer: -20.67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -70*y + 14. Let p be w(2). Let g = -124 - p. Calculate the remainder when 24 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pll when three letters picked without replacement from llpplllp?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 17. Let x be (w - -26) + (2 - -2). What is the highest common divisor of x and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**4 - 1955810*w**3 - 2933722*w**2 - 977908*w = 0. What is w?\nAnswer: -1, -1\/2, 0, 488954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-36)\/(-45)*(-10)\/(-4). Suppose -5*q + 2*o + 1030 = 0, -4*q + 824 = t*o + 3*o. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 21. Let p be h(-16). Suppose 4*u = -20, -p*q = -3*u - 19 - 31. Let r(f) = 0 - q - 74*f**2 + 5*f + 73*f**2. Give r(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/14)\/((-4)\/7).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f**3 + f**2 + f - 2. Let w be r(1). Let j = w + 5. What is the first derivative of j + 0 + 4*m**4 - 2 - 5 wrt m?\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5235\/82 or 1?\nAnswer: 5235\/82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 1238364.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 9. Let u be n(-5). Let r = -22 - -22. Let f(q) = 6*q - 4*q**2 - 6 - 8*q + r*q**3 - q**3. Give f(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 20 = -4*i. Suppose -3*k - 1 = 2*m - 22, 0 = -i*k - 5*m + 28. Is k 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 125, 145, 201, 311, 493?\nAnswer: 765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -2*v + 24 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1172, -4, 4046 in increasing order.\nAnswer: -1172, -4, 4046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2368 divided by -16\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*t**2 - 1 + 3*t + 68*t**2 + 64*t**2 - 183*t**2 + t in the form z + y*t**2 + w*t and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -5, -1\/4, 3, -19842, -4 in descending order.\nAnswer: 3, -1\/4, -4, -5, -54, -19842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5292669\/116 + -45627. Let x = -6\/29 + q. Which is the third biggest value? (a) -4 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1512818 and -1512818 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 15*h + 17*h = 416, -4*p + 5*h + 1677 = 0. List the prime factors of p.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -725*a**3 - 45*a**2 + 45*a - 45. Let d(v) = 66*v**3 + 4*v**2 - 4*v + 4. Determine -45*d(x) - 4*r(x).\nAnswer: -70*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45749 is divided by 9142.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2. Let l(k) = 7*k - 4. Suppose 4*v + 3*z = 17, 4 - 23 = -5*v - 3*z. Let n(c) = -2*c - v + 10*c - 3. Let w(s) = 5*l(s) - 4*n(s). What is j(w(f))?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/3 - 16651154*h\/3 + 5550384.\nAnswer: 2*(h - 8325576)*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 78*l**4 + 9*l**3 - 9*l + 9. Let z(w) = -39*w**4 - 5*w**3 + 5*w - 4. Let i(n) = 5*c(n) + 9*z(n). What is the derivative of i(u) wrt u?\nAnswer: 156*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*v + 44750, -3*f - 2681 = -5*v - 77219. Is -14910 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(2 + 92\/(-40)). Let c = 42 - n. Let t = -7 + 11. What is the lowest common multiple of c and t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*i**2 - 40*i + 4.\nAnswer: 4*(i - 1)*(9*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 10\/3, 0.2, 2, -2\/373?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 267 = 273 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -441 - -452. Solve 4*n - o*n - 21 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -156 or -162?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13045 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27 and -0.005428.\nAnswer: -0.146556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7278?\nAnswer: 2, 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tf when two letters picked without replacement from ttjettyffj?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 9*j + 9. Let h(u) = 3*u**2 - 12*u - 56. Let p be h(11). Let f = p + -168. What is the lowest common multiple of f and s(9)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3911 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7142 - -7212. What is the highest common divisor of 1526 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-13)*(m**(-13\/5)\/m)\/m*m*(m*m**(-2\/15)*m)\/m*m*m\/(m\/(m*m\/m**(2\/7))))**(-38) assuming m is positive.\nAnswer: m**(47956\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(605) - sqrt(605) - (sqrt(180) + sqrt(180) + -2*sqrt(180)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4702216 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -316*m**4 - 408 wrt m.\nAnswer: -1264*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -301.471 times -3?\nAnswer: 904.413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -781 = -2*n - 783 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -136 and -16812.\nAnswer: -16948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1889 = -y - 5*p - 1900, -4*p = -4*y + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537 greater than or equal to 2462?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -34 (b) 2\/13 (c) 4 (d) 58 (e) -5\/22 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -230 + 2?\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 6 + 7 = 5*l, 0 = -3*l + 3*b + 24 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 217826 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 32*l + 31. Is h(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-10)*(-430)\/(-43).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1604 is divided by 177.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -161783926.\nAnswer: -161783928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 + -2ab655?\nAnswer: -2ab645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.85 and 311?\nAnswer: 310.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 5, 44, -5 in ascending order.\nAnswer: -5, 2, 5, 6, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*p - 2*p + 12, 0 = 4*n - p - 4. Let c be (-2)\/(-4)*(2 - n) - 990000. Round c to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 1:09 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 637304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (3 + -8)) + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -9 - (-11 + (11 - -6 - 14) + 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 2. Let p(v) = 4*v**2 - 6*v - 3. Let y(i) = -3*b(i) - p(i). What is y(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-5)*(15\/27)\/((-729)\/(-1701))?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -281 + -6?\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 1. Suppose -b = -3*u + u + 10, -2*u = 5*b + 14. Let p be (-8)\/6*((-18)\/4)\/u. Let n be s(p). What is the closest to -1 in -0.5, 2, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/1710*-38*18\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/141 or 1?\nAnswer: -10\/141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -212 + 50324?\nAnswer: 50112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17\/12 - -397\/60. Find the common denominator of 24\/349 and h.\nAnswer: 1745","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 47.03?\nAnswer: -4.703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - z + 7*z)*(1 - 1 + 2*z).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 5*p - 35, 5*p = 3*f - 0*p + 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -0.4 (c) 9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + 2*i - 2*i + (1 + 2 - 1)*(-i + 3*i - i) + i + 4 - 4 + 0 + 0 - 2*i - 51 - 20*i + 51 + (-3 + 3 - 3)*(7*i + 5*i - 2*i).\nAnswer: -50*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(20\/(-25)*107\/107)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-251199)\/(-1755) - 144)*10\/(-78).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**6\/480 - 89*a**5\/20 - 7921*a**4\/2 - 5639752*a**3\/3 - 101*a**2 + 3*a. Suppose k(x) = 0. What is x?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46278773 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 19\/4 of a micrometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -666.685 to the nearest ten.\nAnswer: -670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccchccccccc. Give prob of picking 4 c.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -273, -1226, -2841, -5106, -8009, -11538, -15681, -20426?\nAnswer: -25761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17448 + -17814410\/1021. Let s = 35759\/12252 + w. Is s <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22, 113, 266, 481, 758, 1097, 1498?\n\"Answer: 31*p**2 - 2*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 215\/50 + 800\/600*9\/(-120).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - 30. Let n = 105 + v. Suppose r = -4*b - b + 70, 0 = -r + 2*b + n. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57324.28 minus -0.04?\nAnswer: 57324.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in nineteen quarters of a millennium?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 185716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*m + 5 + 3 - 10)*(-5*m + 3*m + 4*m).\nAnswer: -20*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**3 + 20*g**2 = 0 for g.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yeeeyy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from nlneneneel.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 35109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t + 3. Let w(l) be the first derivative of -l**4\/4 - l**2 + 5*l - 33. Let h be w(0). Calculate f(h).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 1. Let c(v) = v - 1. Let r be (1190\/(-2142))\/(6\/54). Let g(j) = -5*j. Let y be g(1). Calculate r*d(u) + y*c(u).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104684844?\nAnswer: 2, 3, 11, 17, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/13108 (b) 2\/5 (c) -3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49685, -99347, -149009?\nAnswer: -198671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 27*z - 7 + 12 + (-1 - 3 + 3)*(-2*z + 2*z - 2*z).\nAnswer: 29*z + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2730230 to the nearest ten thousand.\nAnswer: -2730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/760)\/(14\/(-180)) + (5 - 1152\/228).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, g: 3, l: 3}. What is prob of picking 1 l, 2 g, and 1 b?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a decade in months?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 174452460 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 12) to base 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 2443913\nAnswer: -2443913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -242*i**4 - 25*i - 15*i**4 - 146*i wrt i.\nAnswer: -3084*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10904477.4 to the nearest ten thousand.\nAnswer: 10900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19.58 - -20. What is v rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 - 24 - 3*s**2 + 25 + 3*s**2 + s to the form p + h*s + n*s**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2080773 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001155034757 rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.465 rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v + 17. What is r(-12)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 547389 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -97960344?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 73 + 15. Let c = l - -39. Suppose 3*y - 4*v + c = 0, 3*y - 6 = -v + 2. Solve -y - 19 = -5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 + 10*v - 11. Let n(z) = -7*z - 1. Let s(l) = -l**2 - 4*l - 5. Let i be s(-2). Let d be n(i). Is o(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, r: 5, g: 1, a: 6, n: 1, c: 1}. What is prob of picking 1 g, 2 r, and 1 c?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 4*h + 28 = 0, -14 = 3*y - 55*h + 51*h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 - -43. Let p = -20 - h. What is the remainder when 117 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**3\/13 + 12*z**2\/13 - 54*z\/13 = 0.\nAnswer: -9, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2511*-267 + (-70)\/(-44485)*-41?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12\/355 - -16179\/6035. Let j = r + -2103\/833. Which is greater: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 17*f**2 + 277*f + 176. Let m(y) = 8*y**2 + 138*y + 88. Suppose -2*w - 44 = 5*a, 3*w - 19 = 6*a - 5*a. Let z(l) = a*m(l) + 4*d(l). Factor z(t).\nAnswer: -4*(t + 22)*(3*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209359931?\nAnswer: 11, 19032721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -1074\/205331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24525131023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -145*c + 470. Is h(-45) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*(-36)\/(-72)*(-525)\/30\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 54. Let a(g) be the third derivative of g**5\/60 - 10*g**3\/3 - 3*g**2 + 19. Let k(u) be the first derivative of a(u). Calculate k(z(f)).\nAnswer: 2*f - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 288 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6120.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 108*r**2 + 118122*r - 1050951712 with respect to r.\nAnswer: 216*r + 118122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 66. Calculate h(0).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*j + 205 - 175 = 0, -j - 21 = -7*y. Suppose 69\/5*n - 3\/5*n**y - 36 = 0. Calculate n.\nAnswer: 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2088045 (base 10) to base 15.\nAnswer: 2b3a30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -5, 3699, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2 - 1 - a + 1 - a. Suppose 5*s + 17 - 3 = 2*m, -s + 4*m = 10. What is p(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 0 - 6*a + 1\/6*a**3 - 17\/2*a**2. Calculate v(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, p: 1, i: 1, n: 2}. What is prob of picking 2 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -173*g + 153*g - 24 + 164 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**3 - 98*g**2 + 627*g + 58. Calculate j(9).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11496 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*x = 204. Suppose -3*y - 2*y + 480 = 0. Let z = x + y. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 4*n + 42 - 41 = 0, 2*g = -4*n + 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + s**3 + 0*s**3)*(1 - 1 - 3322*s - 3602*s**2 + 3322*s).\nAnswer: 3602*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/8*98\/1. What is the derivative of 37 + s*z - 45 - 91 + 2*z**2 wrt z?\nAnswer: 4*z + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(153) + 1))**2 + ((sqrt(136)*-4*-1 + sqrt(136) - sqrt(136) - sqrt(136))\/sqrt(8))**2.\nAnswer: 24*sqrt(17) + 769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**5\/9 + 17692*j**4\/3 - 794696*j**3\/3 - 7470740*j**2\/9 - 841878*j - 282592 = 0.\nAnswer: -1, 48, 26493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -14*l**3 - 109*l - 8. Let i(r) = 9*r**3 + 73*r + 5. Calculate 8*i(s) + 5*j(s).\nAnswer: 2*s**3 + 39*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3641323 (base 7) to base 10\nAnswer: -463900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of s**3*z**2 - 708*s**3 + s**2*z + 536*s*z**2 wrt z?\nAnswer: 2*s**3*z + s**2 + 1072*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 4, -0.074 in ascending order.\nAnswer: -0.074, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32033.987 - -32009. Let n = q - -25. Round n to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 52 = 4. What is the common denominator of 396\/h + (1 - 1) and (-30)\/(-9)*6\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75357 is divided by 1142.\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**4\/4 - t**3\/3 + t**2 + 6*t. Let q be y(1). Solve -q*r + 3 = 3*b, -4*r = -2*b + b + 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 63*l + 2. Let c be y(0). Let z(q) = -213*q - 1 - 3 + 223*q - q**3 - 3 + 4*q**c + 4*q**2. Determine z(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -99 + -15 + (-558)\/(-9)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -15*y**2\/2 - 11*y + 10. Is s(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**4\/4 - 7*z**3\/3 - z**2 - 10*z - 5. Let c be p(-7). Suppose 4 - 48 = -c*t. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z**2 - 1. Let m be i(-1). Suppose 3*d - m + 2 = -2*g, 20 = g - 5*d. Suppose 9 = r + g. Solve r*p + p = -25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/6)\/((-5)\/45). Suppose 0*f = -3*f + p*b - 3, -4*f = -3*b. Suppose -4*i + 7 = -1. Solve c + f = i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4680 is divided by 2411.\nAnswer: 2269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -28860.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -326877 - -576163. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -3*n + 4*n. Suppose 4*q = 27*d - 32*d + 147, 0 = -3*d - 3. What is the highest common divisor of q and n?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (1 - -17) + 116 + -130 - (138 + -3)\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6, 3, 0?\n\"Answer: -3*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-132)\/(-9))\/(-2))\/(4\/24). Let b = v - -51. Calculate the greatest common factor of 49 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2620019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267870181?\nAnswer: 267870181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 2*p**4 - 10 - 226*p + 0*p**4 + 4 + 225*p - 25*p**3 + 6*p**2 as z + i*p + h*p**2 + m*p**3 + j*p**4 and give m.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7203 - 4162 - 973 - 2891 - 8110 + (1 - 3 + 4)*(-2 + 3 + 1) - 2 + 3 - 2)*(3*t**2 - t**2 - 4*t**2) as n + r*t**2 + m*t and give r.\nAnswer: 46672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19, -8, 3?\n\"Answer: 11*o - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*b**4*x**2 - 766*b**2*x**2 + 17657*x**2 - 2 wrt b?\nAnswer: 16*b**3*x**2 - 1532*b*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t. Let u be z(4). Suppose -3*i = -2*i - u. What is the highest common factor of i and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311505 (base 6) in base 16?\nAnswer: 61c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 12:01 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -23*o**4\/24 - 335*o**2. Let m(g) = g. Let x(w) = 4*w + 2 - 6 + 4. Let v(a) = 3*m(a) - x(a). Calculate p(v(q)).\nAnswer: 23*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9323166 and 6924?\nAnswer: 3462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 7:33 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 239\/3118500 and 155\/27972?\nAnswer: 115384500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 221*o**4\/4 + 2*o**3\/3 - 2*o**2 + 4*o - 31. Is l(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 146, 4, 5 in descending order.\nAnswer: 146, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*(sqrt(2057) + -1)**2 - -5*(sqrt(272) + -4)).\nAnswer: -408*sqrt(17) + 49272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2895 - -23458. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3501 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -4996856?\nAnswer: 1\/4996856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2. Let z(i) = i + 5. Let n(p) = 5*w(p) + 2*z(p). Let u(d) = 2*d**2. What is u(n(x))?\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7504710 - 4?\nAnswer: 7504704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 11 + -4 - 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 42*l**2 + 38*l - 59. Let t be s(-41). Suppose -t*g - 252 = -70*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 615902.3 millennia to years.\nAnswer: 615902300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 2*l**2 + 14*l + 15. Determine m(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from {w: 9, f: 4, l: 6}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**4\/12 + g**3\/6 - 3*g. Let v be f(-1). Suppose -3 = -3*m - v. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 7:24 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 650593.3nm?\nAnswer: 0.6505933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**5 - 10*q**4 - 2*q**3 + 34*q**2 + 44*q + 16.\nAnswer: -2*(q - 2)*(q + 1)**3*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 141320752 and 8?\nAnswer: 141320752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25791.\nAnswer: 3, 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - -1)*-2 - 5. What is the second derivative of -281*w - 34*w**4 - 58*w**4 - s + 261*w wrt w?\nAnswer: -1104*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1, 2, -2, -9278, 9 in descending order.\nAnswer: 10, 9, 2, -1, -2, -9278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*w - 429*w + 210*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 463.431 + -439.4. Let u = t + -24. Let c = u + -0.0310023. What is c rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*l - 70*l + 200*l + 5217*l**2 - 71*l as r*l**2 + t + a*l and give r.\nAnswer: 5217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8619823 nanometers to centimeters.\nAnswer: 0.00000008619823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7, 22, 79, 170, 301, 478, 707, 994?\n\"Answer: o**3 + 8*o**2 - 2*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 12. What is f(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/10)\/n*n)\/(n**(-43)\/n)*n\/n**(8\/5)*n\/n**(1\/11)*n assuming n is positive.\nAnswer: n**(4951\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24045303104 + -3?\nAnswer: 24045303101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - p - p - 17 = 0, 0 = -3*p - 12. Does 2 divide z*1*(-10)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31940*j**6*l + j**2*l - 420*j*l - 3 wrt j.\nAnswer: -3832800*j**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 9 and 411 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 6*v - 6. Let m be b(-6). Calculate the remainder when 4\/m + 498\/18 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/39720042 and 11\/54.\nAnswer: 119160126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145654, -145656, -145662, -145672?\nAnswer: -145686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-35) - (-44)\/(-55). Solve -5*b = 4*h - v*h, 13*h = 15*h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -104?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 66*z + 154. Let q(c) = 5*c + 12. Let h(o) = 77*q(o) - 6*w(o). Let y(v) = -9*v. Let t(s) = -4*h(s) + 5*y(s). Determine t(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54.6 + 61. Let o = 5 - k. Put -4, o, -1\/4, -1\/2 in ascending order.\nAnswer: -4, o, -1\/2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a hour in minutes?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 41 + 421 = 0. Let v = 36 + x. Let c = 4 + -3. What is the nearest to v in -2, 3\/7, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1299534*l**2 - 4447544*l**2 - 13*l + 13*l.\nAnswer: -5747078*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)*n)**(9\/7)*(n\/n**(5\/2))\/n*n\/(n\/(n**(4\/9)\/n))*((n*n**(-1)\/n*n*n)**(-2\/113))**33 assuming n is positive.\nAnswer: n**(-7403\/2034)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 61543.18 litres in millilitres?\nAnswer: 61543180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -7*c**3\/3 - 2*c. Let x(s) = 459*s - 217*s - 237*s. Determine 8*x(a) + 3*y(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 530245101 (base 6) to base 13.\nAnswer: 1bc294a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5979346 to the nearest one thousand.\nAnswer: 5979000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 2*w - 6 = w, -2*w - 8 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - g = 30 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 12 - 7 = -5*w, 2*w + 2 = 2*z. Suppose -2 = w*s - 8. Solve 0*d + d = -s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -9. Let c(u) = -1 - 3*u + g - 4. Give c(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -109\/2 + 54. Is b not equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 16*w**2 - 145*w + 3. What are the prime factors of l(-11)?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8440)\/(-1899))\/(6 + 208\/(-36))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*l - 1)*((-3 + 0 + 5)*(-1 - 3*l + 1) - l + 3*l - 9*l).\nAnswer: -52*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h = -5*h - 40. Suppose h*q + 229 = 979. Calculate the remainder when q is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/114*231\/539.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 39900000 = -7*o. What is o rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400)\/(sqrt(30)\/sqrt(3)))\/(sqrt(16)*-1))\/((-5*sqrt(40))\/(sqrt(50)*1)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -3, -1\/162?\nAnswer: -1\/162","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4140, -8212, -12250, -16236, -20152, -23980, -27702?\nAnswer: -31300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 12 = 3*c, -3*c + 12 = -m + 3*m. Let w = -1.013 - -0.013. What is the closest to m in w, 2, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 - 3 - 4*x**3 + 14*x**2 + 5 + 3*x**3 + 42*x wrt x?\nAnswer: -6*x + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8.8 in -2\/3, 31, -2, 19, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w**2 + 26*w - 23. Let p be v(-10). Let g = 1330 + p. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 24*m = -23*m + 19, -5*s = 2*m - 22. Let 0 + 4\/11*c**s - 4\/11*c + 14\/11*c**2 - 14\/11*c**3 = 0. Calculate c.\nAnswer: 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2808 less than or equal to 17868?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/8113 - -413803\/162260. What is the common denominator of (-488)\/(-30)*(-3)\/(-16) and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -163341, -163343, -163347, -163353, -163361, -163371, -163383?\n\"Answer: -x**2 + x - 163341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -741793, -1483583, -2225367, -2967145, -3708917?\n\"Answer: 3*p**2 - 741799*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2382, 5 in ascending order.\nAnswer: 0, 5, 2382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -22*j**3 - 52*j**2 - 3*j - 5. Let x(q) = -32*q**3 - 79*q**2 - 4*q - 7. What is -7*f(z) + 5*x(z)?\nAnswer: -6*z**3 - 31*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -12. What is the smallest common multiple of 88\/36 - (-16)\/(-36) and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -99647, -199224, -298787, -398330, -497847, -597332?\n\"Answer: a**3 + a**2 - 99587*a - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s**2 + 99*s + 40. Let r be v(12). What is the highest common divisor of r and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 165 - 146.9. Let b = -18.3179 + f. Let j = b + 0.0109. Round j to two decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((135\/(-25))\/(-9))\/((-3)\/(-5))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 860?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-335.\nAnswer: -1340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m = -495 + 511. Solve 0 = -35*l + 4 - m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(121) + sqrt(121) + 4*sqrt(121))\/sqrt(11))*4 - ((-4*sqrt(539)*6 + sqrt(539))**2 + -3).\nAnswer: -285116 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -5. Suppose w - 4*w - 153 = -3*b, -3*b - 2*w = -178. Let l = b + -166\/3. Put 5, l, f in decreasing order.\nAnswer: 5, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g**(1\/4)*g)*g**(1\/3)*g*(g**(4\/5)\/g)\/g*g**2*(g*g**(-1\/2))**(4\/11)\/(g**(4\/5)\/g**(1\/7)) assuming g is positive.\nAnswer: g**(377\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 6:47 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -12*w**4 + 60*w**3 - 27*w**2 - 78*w - 24 = 0?\nAnswer: -1\/2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73982420 is divided by 81.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3126 and 28751385?\nAnswer: 1563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -364*h + 163*h + 180*h.\nAnswer: -21*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 9:36 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/15 + (-7)\/(-6). Is 2 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596191753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*h - 190 = 0, 34*p + 3*h = 33*p + 26. What is the highest common divisor of p and 3300?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**4\/24 - 5*d**3\/3 + 3*d**2 + 67781. Let z(j) = -6*j - 51. Let g be 2\/(-8) - 90\/(-8). Determine g*f(l) - 2*z(l).\nAnswer: l - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.149969 rounded to 3 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-980)\/35)\/(-7)*3\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*o - 6792 = 58*o. Suppose -2*c - z + 1137 = 0, -4*c = -0*c + 4*z - o. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 44 = 2*z, -5*z - 7 - 4 = -o. Calculate the remainder when (405\/(-108))\/(3\/(-52)) is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(sqrt(11) - (-2*sqrt(55))\/sqrt(5)))**2*5.\nAnswer: 55\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 185 times -8686\nAnswer: -1606910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 0.1. Let u = -3.9 + -1.1. Let b = u + 5.1. Which is bigger: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*n - 6*n - 11*n - 15*n**3.\nAnswer: -15*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 871492 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence riiw when four letters picked without replacement from iecwrix.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 1 = i - 2*f, 0 = 4*f + 16. Let d(t) = t**3 + t**2 - t + 1. Let l be d(0). Is i > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhl when three letters picked without replacement from yhzblzb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 655*x. Let d(t) = 12. Let f(z) = z + 4. Let g(s) = -d(s) + 3*f(s). Give r(g(u)).\nAnswer: 9*u**2 - 1965*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -628280\/11 or -57117?\nAnswer: -57117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 2:01 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5190.\nAnswer: 2, 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11b65 - 13494?\nAnswer: -25439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + 0*i - 2*i + 2*i - 1 + 1 + (0 - 3 + 4)*(0*i - 2*i + 3*i) - 3 - 2*i + 3 - 762*i + 476*i - 686*i.\nAnswer: -973*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - -1 - (14 - 21). Let p = t + 4. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 48. Calculate the highest common factor of p and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9067, -3.1, 12, -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(2268) + -5*((2 + sqrt(2268))**2 - sqrt(2268)).\nAnswer: -11357 - 252*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3))**(-33))**24 assuming a is positive.\nAnswer: a**2376","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11 - 39)\/10 - -20. Solve -4*f - 2*b = -12, -5*f + s = -b - 0*b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -4*q + 25, -3*q = h + 2188146 - 2188155 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*4 + -3*(-8)\/(-12). Suppose -3*z - z + t*o = -346, 3*z + o = 262. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 214194 and 1392.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2778 rounded to one dp?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 7*d - 10*d + 13, 5*z + 4*d = 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 10 = 0, -3*y + s - 3*s = -1559. Let j = 830 - y. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 + (3008\/112 - -9)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 8 = s, -5*d - 23 = 2*s - s. Let f be ((-20)\/8 - -3)*-2. Let q be f\/1*(-28)\/s. Calculate the greatest common divisor of 42 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135645.\nAnswer: 3, 5, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gexpxeggge. What is prob of sequence pgx?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8*j - 5. Let n(v) = -3*v + 2. Let r be 18\/5 - (-6)\/15. Suppose t - 7 + r = 0. Let l be n(t). Let m(d) = -9*d + 6. What is l*k(o) - 6*m(o)?\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 9*a**2 - 3*a - 3. Suppose 0 = 3*t - 2*l + 25, -5*t + 2*l - 6*l = 27. Let c be h(t). Let d = c + 133. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/6)\/(v*(v*v\/(v\/(v\/v**(-4\/3)))*v*v*v*v)\/v*v))\/(v*v*v\/(v**(-1)*v))**40 assuming v is positive.\nAnswer: v**(-769\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4201 + 465. Let b = 11066 + q. Round b to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37051954?\nAnswer: 2, 1051, 17627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 18*h - 7. Suppose 0 = z + z - 116. Suppose z = -3*o + 22. Is l(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-6)*12\/(-48)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*g = -2*q + 255, 5*g + 185 = -2*q. Let l = -130 - q. Let s = l - -50. Solve 6*o - o - 2*p + 10 = s, o + 14 = -2*p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = -4*z + 9, -2*x - 4*z = -42. Let v = -6 + x. Solve s = 2 - v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b + 8*b - 56*b - 24*b + b.\nAnswer: -78*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1218.6595 and -67.381.\nAnswer: 1151.2785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(-2*sqrt(5)) + (-5 + (sqrt(19)*-5)**2 - sqrt(19)).\nAnswer: -3*sqrt(19)\/2 + 470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 191738 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from blbbgtab. What is prob of picking 1 l, 1 a, and 1 b?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 5*g = -7*x - 9396, 18816 = 4*x - 2*g. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 9*r + 27. Let y(m) = 2*m + 6. Let n(i) = 2*o(i) - 9*y(i). Let t(j) = 14*j. Determine n(t(a)).\nAnswer: 392*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -84b (base 15) to base 10.\nAnswer: -1871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -1395*a**2 - 2145*a. Let s(b) = 558*b**2 + 858*b. Let m(q) = -5*d(q) - 12*s(q). What is the second derivative of m(h) wrt h?\nAnswer: 558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2894, -6293, -10198, -14603, -19502, -24889?\nAnswer: -30758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**4\/4 + 6*r**3 + 19*r**2 + 24*r - 26. What is the remainder when a(-15) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2. Let d(q) = -14*q - 113. Determine d(w(t)).\nAnswer: -28*t**2 - 113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + -27 + (4 - 1 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191714431.\nAnswer: 191714431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 13 = 2*q - 1, -5*d - 4*q + 70 = 0. Let o be 4\/16 - d\/(-8). Let s be (-15)\/(-14) - o\/4. What is the closest to -0.1 in -5, -2\/3, s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxxxzzzxxzbxzz. What is prob of sequence bxz?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzmzmzmzzzz. What is prob of picking 3 z?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1706370?\nAnswer: 2, 3, 5, 23, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + -1)\/(4\/82). Let f = y - -43. Solve b + f + 8 = -5*j, -5*j = 4*b + 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*m - 648*m + 174*m + 207*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 414936 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/5052 and -14\/607503.\nAnswer: 2430012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 545*k - 42 = 544*k. What is the highest common divisor of k and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 710\/23 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.4 - 0.6. Let q = 29 + -17. Let c be 2\/3 + (-8)\/q. What is the nearest to c in -6\/7, 2\/3, s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 8340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**5\/5 - 44*h**4\/5 + 334*h**3\/5 - 964*h**2\/5 + 672*h\/5 = 0.\nAnswer: 0, 1, 6, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19564150*w**3*x**2 - 23*w**3 - 12*w**2*x + 2*x + 88 wrt x?\nAnswer: 39128300*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005717 rounded to seven decimal places?\nAnswer: -0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 16 - 1)*(10*m**3 - 3*m**3 - 5*m**3).\nAnswer: -32*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 17 = 7*m, -41*m - 4*z + 145 - 218 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 4*a - 37, 660*x - 157 = 659*x + a + 18*a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -615 divided by 41\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(30)*4)\/(sqrt(80)\/(-3*sqrt(8))).\nAnswer: -60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/14)\/((-1)\/(-2)). Suppose 2*m = -3*m - 25. Let o(z) = -z**3 - 6*z**2 - 4*z + 10. Let d be o(m). Which is the nearest to 1\/2? (a) q (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20933, -41870, -62807, -83744, -104681, -125618?\n\"Answer: -20937*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -39\/59 <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4 + 4 - 6\/(-16) and (-272)\/(-36) + (1\/(-6))\/1?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - y = 0. Suppose y = -2*g - g + 12. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i**2. Let g(y) be the second derivative of -13*y**3\/6 - 21*y. Let d(x) = 12*x. Let b(k) = -5*d(k) - 4*g(k). Calculate l(b(q)).\nAnswer: 320*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6582544?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 36 = -a - 5, j = 5*a + 85. Let i = 22 + a. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t + 77. Let g(v) = -v**2 - 6*v - 18. Let b be g(-6). What is the remainder when 10 is divided by i(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59442 divided by 2\nAnswer: 29721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -92 in ascending order.\nAnswer: -92, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*u = 237*u + 7 + 129 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 473*o**2 + 6802*o - 7750. Determine u(-487).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one thirds of a hour in minutes?\nAnswer: 1420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10}. Give prob of picking 2 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 16*b**2 - 23. Let q(p) = 11*p**2 - 15. Let c(z) = 5*j(z) - 7*q(z). Let w(a) be the first derivative of c(a). Let m(d) = 4*d**2. Calculate m(w(h)).\nAnswer: 144*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -10*y**3 + y**2 - y. Let w be q(1). Let s = w - -14. Solve -7 = -s*n + o, -3 = -5*o + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*i**2 - 16*i - 2096.\nAnswer: 32*i - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (2 - 1) + 1. Suppose y + o - 4 = 0. Solve m + 1 = y*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31096055 to the nearest integer?\nAnswer: 5576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 67 = -57 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/((c*c**(11\/2))\/c)*c**37*(c**(-2\/5))**(-36) assuming c is positive.\nAnswer: c**(479\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s + 2. Let h(v) = -21*v - 6. Let z(i) = -8*b(i) - 3*h(i). Let a(y) = -6*y - 2. Give -4*a(l) - 3*z(l).\nAnswer: 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 152.04 - 0.9\nAnswer: 151.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*s, 2 = 3*z + 2*s - 30. Suppose 3*f = 2*w - 18, 2*w - 4*f = z + 6. Suppose 282 = -w*j + 14*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 302009 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - b + 351. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 132\/5, 4, -5, -0.1?\nAnswer: 132\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyy when three letters picked without replacement from {n: 14, y: 5}.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002327 rounded to four dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1197559*j**2 + 1448028.\nAnswer: 2395118*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 - (0 - 10) - (-23083 - -23006))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 15 = -2*q + 5*q, 4*g = -4*q. Let h be 1*(g*9 + 5 + -2). Let p = 2 + h. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -575, -688, -993, -1586, -2563, -4020, -6053, -8758?\nAnswer: -12231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2*y + 24. Let d be ((-5)\/10)\/(2\/(-32)). Let a = d + y. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 422 - 154 = 0. Suppose -4*h + 6 = -6. Suppose h*f - v = -33. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11094, -25730, -40364, -54996?\nAnswer: -69626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from biiiibxbibbbxbixbcj.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -458\/7, -5, 1 in decreasing order.\nAnswer: 40, 1, -5, -458\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q**3 - 27590*q**2 + 27590*q**2.\nAnswer: 15*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3702033259.\nAnswer: 197, 1201, 15647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -33011, -34304, -35595, -36884, -38171, -39456, -40739?\n\"Answer: d**2 - 1296*d - 31716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5*r - 2550. List the prime factors of r.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533105 (base 8) to base 12.\nAnswer: 86a31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 + 211. Let c = p + -2957\/11. Let g be 4\/8*(-4)\/5. What is the second biggest value in g, -2\/9, c?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**5\/20 - 13*f**4\/6 + 10*f**3\/3 + 5*f**2\/2 + 8*f. What are the prime factors of n(-27)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence voov when four letters picked without replacement from {o: 5, v: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 32?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -347 - -458. Suppose 0*v = 3*v - 111. Calculate the greatest common divisor of v and x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31333 (base 6) in base 8?\nAnswer: 10211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 0*q**3 + 2*q**3. Suppose -5*r = 42 - 2. Let a(y) = -3*y**3. Determine r*d(b) - 3*a(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of n*x**4 + 99*n*x**2 - 2*n - 66 wrt x?\nAnswer: 4*n*x**3 + 198*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1)*(-1 + 0 + 4)*(g + 0*g + 0*g) to i + p*g and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-7))\/(1395\/1085).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -57, 21, 0, 1.\nAnswer: -57, 0, 1, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1110 and 3230026.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 + 3413*n**2 + 332249 - 3413*n**2 + n - 125200.\nAnswer: 2*n**3 + n + 207049","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -91*v**3 + 66*v**2 - 32*v - 820. Is t(-19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 - -3 - (4575 + -4579 + 40 + 1)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**3\/3 - 27*y. Let m(v) = 20*v. Give m(g(f)).\nAnswer: -40*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 8*r - 12. Let m(v) = -v**3 - 10*v**2 - 9. Let c be m(-10). Let p be o(c). What is the units digit of -3 - (0 + p) - -20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4047728.\nAnswer: 2, 252983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.046 times -69.8\nAnswer: 73.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 402\/7 + -3237\/56. Which is the fourth smallest value? (a) 0.3 (b) z (c) 24 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39981 divided by -13327\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o + 2. Let p(g) = 9*g**2 - 2*g - 2. Let z be p(o). Is 8 a factor of z\/6*40\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1477, 1680, 2007, 2464, 3057, 3792, 4675?\n\"Answer: c**3 + 56*c**2 + 28*c + 1392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -891, -4\/5, 2\/17, 4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 51840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -205*t**2 + 202*t**2 - 33*t + 26*t to c*t + o*t**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.76 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.58 + 9.12. Let w = k - -0.3. Let j = w + -9.8. Which is smaller: j or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.19332 rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000199503 to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-21))\/(5\/(-93)*266\/665).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 2 - (8 + 3 + -11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2. Let c(n) = n**2 + 3*n - 2. Let y(p) = -c(p) - 3*f(p). What is the remainder when y(6) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 52*n**3 - 3*n**2 - 3*n - 1. Let z be i(-1). What is the units digit of (1\/4*z)\/(2\/(-16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 3\/2, 1, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 5*n**2 + 660*n + 4960 = 0.\nAnswer: -124, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -450 + 452. Suppose -3*x + 3376 = -2*q, n*q = -x + 467 + 645. Is x a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 10*s**2 + 12*s + 14. Give c(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 449980872?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 42*d - 4. Calculate y(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**2*u**3*x**2 + 12*p**2*u*x - p*u**3*x**2 - 3*p*x**2 - 5*u**3 + 8*u**2*x wrt u.\nAnswer: 6*p**2*x**2 - 6*p*x**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(5 - 24 - 10)*(-29*m - m + 3*m - 2*m - 1 + 1 + (3 - 3 + m)*(3 - 3 - 1) - 2*m - 2 + 2 + m - 3*m + 0*m) + (-2*m - 2*m + 2*m)*(2 + 3 - 6).\nAnswer: -984*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -13*z**2\/4 + 95*z\/2 - 82 = 0?\nAnswer: 2, 164\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*j = -357 - 98 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/10*-50*(-13)\/2145.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 e when four letters picked without replacement from ppppecpppvepepe.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/425 - 872\/4675. Let n = -0.85 + 9.05. Let t = n + -8. Put s, 1, t in ascending order.\nAnswer: s, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20773807 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*t + 203*t - 25063 = 741*t - 42*t for t.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -5 (c) -2.5 (d) -14.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**3\/4 + 14828261*c**2\/2 - 177939159*c\/4 + 66727188 = 0?\nAnswer: -29656528, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-48)*2*-6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + ((-70)\/6)\/(-7). Let u = -8.87 + -0.13. Let x = 8.9 + u. What is the biggest value in j, -4, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 208, 362, 518, 676, 836, 998, 1162?\n\"Answer: c**2 + 151*c + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5c2 + -26bba?\nAnswer: -2739c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -754 bigger than -754?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-27))\/1)\/((-20)\/(-45))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/2 - 3*z**3 - 5*z**2\/2 + 12*z + 18.\nAnswer: -(z - 2)*(z + 2)*(z + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllccl. What is prob of picking 2 l and 2 c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 138\/7 + -443\/42. Find the common denominator of i and -43\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -48*u + 33. Let n(d) = -d - 1. Let j(g) = -4*g + 1. Let r(f) = j(f) - n(f). Let m(i) = 4*o(i) - 66*r(i). Let w(q) = 5*q**2. Determine m(w(z)).\nAnswer: 30*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*f - 2*u, 3*f + 2*u = -0*u + 40. Let w = 765 + -767. What is the common denominator of -139\/12 and (-255)\/f - w\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112 + 21212?\nAnswer: 22101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 118 = -4*b. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 4*t - 112 = -44 + 78, 3*o + 2*t - 89 = t for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 44 = -u + 16*w, 2*u - 46 = -3*w. Calculate the remainder when (-491)\/(-4) + (-1)\/(-4) is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 2*i - 49. Let z be w(0). Let p = z - -51. Factor -6\/7*f - 4\/7 - 2\/7*f**p.\nAnswer: -2*(f + 1)*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 228102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 654 a factor of 78348883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**5 + 92*o**4 + 172*o**3 + 84*o**2 = 0 for o.\nAnswer: -21, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + f - 2 - 46, -5*d = -5*f + 75. Does 3 divide (-1 + d)*12\/(-48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 738 - 151. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 6:32 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-280)\/(-392) + -1)\/((-12)\/(-7))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3656 divide 878055080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 5*v + 0*v)*(-1 + 1 + 1)*(-29 + 13*v + 29).\nAnswer: 65*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2895.0546 months in centuries?\nAnswer: 2.4125455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 11*r**5\/30 - 21*r**4\/8 - 4969*r**3\/6 + 2*r**2 + 2221*r. Find the first derivative of a(t) wrt t.\nAnswer: 44*t - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (69*u - 14 - 55*u + 1)*(-2*u + 3 - 3) to i*u + j + d*u**2 and give i.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*g\/(g\/g**(2\/7)))**46*(g*g**(1\/2))**(-7)\/((g\/((g*g**(-6\/11))\/g))\/(g*g*g**(3\/2))) assuming g is positive.\nAnswer: g**(-13814\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 + 45*v**2 - 132*v + 40. What is a(19)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53b7b12 (base 12) to base 5.\nAnswer: -13033340311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -1dd2?\nAnswer: -1dd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 3*m**3\/2 + 11*m**2\/2 + 22*m. Let y(i) = -5*i - 6. Let h(r) = -6*v(r) - 11*y(r). Let l(g) = 45*g**2. Give l(h(z)).\nAnswer: 45*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - g - 2633 = 0, -5*z = -4*g - 1843 - 4747. Let f = z - 28899\/22. Let h = 6197\/80 + -809\/10. What is the common denominator of h and f?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 597262901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -34, -64, -100, -142?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83581393\/440 - -189958. What is the common denominator of -51\/55 and i?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 15 = -5*q + 2*d, 3*q + d - 9 = 0. Let b = 2 + q. Let u(l) = 2*l**2 + l - 2. Let r be u(-2). Which is smaller: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 - 53. Let r = 73 - 509\/7. Which is the closest to r? (a) w (b) 3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 567, 4149, 13839, 32679, 63711, 109977, 174519, 260379?\n\"Answer: 507*l**3 + 12*l**2 - 3*l + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69592.\nAnswer: 2, 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 - 24 - 38*i + 19*i + 18*i. Let p be r(14). Suppose 3*h - 357 = -3*n, p = 2*h + h + 2*n. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (69 - 71) + -10 + 58\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*s. Let n = -55 + 59. Suppose -n*l - 5*h + 106 + 53 = s, 0 = 3*l + 4*h - 120. 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 y be (-4706)\/5460 - (-6)\/14. Let u = y - -14\/15. Which is the smallest value? (a) u (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 6*f - 5. Let n = -9 - -13. Let q(y) = -y**3 + y**2 - 5*y - 4. Let v(k) = n*q(k) - 3*i(k). Let o be v(3). Solve -3*t = -o*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10209?\nAnswer: 3, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -94 + 2*k**4 - 86 - 84 - 38*k**2 - 87 + 353 + 2*k as g + r*k**3 + y*k + w*k**4 + q*k**2 and give q.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201021 - 22203?\nAnswer: -223224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 3*s - 9 = 4*o, -4*o = 3*s + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-7))\/(18\/(-63)). Suppose 4*i + 3*i = -b*i. Is i not equal to -3\/163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/9 + (-17115)\/(-135).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, e: 2, m: 1, z: 7, x: 1, n: 8}. Give prob of picking 1 n and 1 f.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7*o**2 + 14*o + 33. Let h(y) = -11*y**2 + 21*y + 50. Let r(w) = -5*h(w) + 8*m(w). Let v be r(8). Solve -p = c + 7, 2 = -v*c + 4*c + 2*p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -3 (c) 31 (d) 4 (e) 1\/3 (f) 4\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.93 - 39.93. Let y = -43.21 + -0.79. Let s = r - y. What is the second smallest value in s, -0.2, -1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -224, 5, -326, -11.\nAnswer: -326, -224, -11, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-4 + 5)) + -28 + 25?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1341364836 and 1341364837 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + -1 + 4 - -159. Suppose l - 45 = -h + 38, -2*h + l + u = 0. Calculate the greatest common divisor of 54 and h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 3*g + 77, 0 = r - 3*r - g + 30. Find the third derivative of -r*u**2 - 91*u**4 + 27*u**6 + 91*u**4 wrt u.\nAnswer: 3240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1752620786 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -139, -128, -109, -82, -47, -4, 47?\n\"Answer: 4*z**2 - z - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/10)\/(6\/(-45)). Suppose 0*o = 3*o + u. Let t(x) = -x**3 - 2. What are the prime factors of t(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255139?\nAnswer: 23, 11093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 3*l = 0. Let c = -3 - -6. Suppose l*f + 14 = c*z + 5*f, 4*z - 5*f - 7 = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-1*(-3)\/18*-6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -13*j**2 - 4*j - 5. Let h be r(-2). Let a = -47 - h. Calculate the lowest common multiple of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 212 - 42. Let y be (n\/(-8))\/(6\/(-24)). Let i be 2*(-1 - 621\/(-9)). Calculate the greatest common factor of i and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39891 is divided by 7885.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -2.2. Let v = 0.71 - 0.01. Let f = -1 + v. Which is the second biggest value? (a) z (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 109, 6, 0, -1 in descending order.\nAnswer: 109, 7, 6, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4961*w + 33 + 4948*w + 5.\nAnswer: -13*w + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 5:24 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445399119.\nAnswer: 3, 11, 47, 95723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4 - 4 - 1 - 2803326*x**2 + 2803328*x**2 + x. Let b(l) = l**2 + l - 2. Determine 4*b(a) - 3*f(a).\nAnswer: -2*a**2 + a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20.066 + -0.366. Let w = p - 20. What is the fourth smallest value in -0.6, 0, 2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 5*g**3\/3 - 17*g**2\/2 + 7*g - 39. Let v be (14\/(-6))\/(6\/(-18)). List the prime factors of b(v).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/3 - 9*j**3 - 212*j**2\/3 - 112*j + 192.\nAnswer: -(j - 1)*(j + 4)*(j + 12)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 148. Suppose 0 = 2*r - r - z. Calculate the highest common divisor of r and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z + 282. Let v(c) = 1. What is t(i) - 8*v(i)?\nAnswer: -2*i + 274","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 237*g + 5238.\nAnswer: -3*(g - 18)*(g + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*a - 6*f + 9, -5*a = 2*f - 18. Let z(p) = 5*p - a*p - p - 1 - 5*p. Calculate the remainder when z(-6) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.9717 - -0.0283. Let i = -0.3 + -0.2. Which is the third smallest value? (a) -1 (b) i (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*d**2 - 10415*d + 10415*d)*(2*d**3 - 2*d**2 + 2*d**2).\nAnswer: -20*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*p - 3 + (-3 + 3 - 1)*(0*p + 2*p - p) - 1 + 1 - p + 2*p - 3*p - p - p + 5*p + 2*p)*(4*p + p - 4*p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 10555*m - 5881*m - 12394*m in the form c*m + f and give c.\nAnswer: -7720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 394 and 1518870?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2572 + 1737.\nAnswer: -835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 825\/(-2090)*(-6)\/15.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27\/56 - -3\/56. Suppose -3*c = 2*o + 80, 0 = -3*c + 5*c - 4*o + 80. Let p be (-4)\/6 - (5 + 158\/c). What is the third biggest value in y, -0.2, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 55*i**2 + 645*i + 120. Let w be v(32). Which is smaller: w or -2791?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11000 (base 2) to base 8\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + -21341442?\nAnswer: -21341431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, -3, 3.5, -2, -0.018?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 1778 = -2*m, -6*y = m - 3*y - 914. Suppose 453 = 4*w - m. What is the lowest common multiple of 4 and w?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/26*12\/((-6)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 67 = 35*h + 317 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 less than 169223267?\nAnswer: 169223419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*w - 46 = -2*l, -5*w - 93*l = -91*l + 41 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-94)\/(-18) + (5 - 10))*1. Which is the closest to 1\/2? (a) s (b) -1 (c) 13 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - q + 0*q)*(1 - 3 + 3)*(-1 + 10 - 4)*(5 - 1 - 5).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, -0.2, 4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67097469 is divided by 42.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80*n - 44*n - 744 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 1\/24*z**4 + 1\/6*z**3 + 1\/6*z**5 + 0 - z**2 + 0*z. Does 6 divide c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from ylyyoyyeo.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 8*a - 2*a)*(-3*a + 3*a + 2*a**3) + 0*a + 0*a + a**4 to m*a**4 + h*a + y + n*a**3 + z*a**2 and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 15) in base 3?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 3*c**2 + 5*c - 4. Does 8 divide q(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2914165532 to the nearest integer?\nAnswer: 53983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -45*u - 32. Let n be r(-14). Suppose -1619 - n = -3*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -5.8 (b) 0.8 (c) 2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.83 (b) 32 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32940 and 1620.\nAnswer: 98820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 + -139\/3. Let v be (-4)\/20 - (-6)\/5. Is o less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*b - 4*b. Suppose b*k + 21 = 5*w + 3*k, -3*k + 8 = 4*w. Suppose w*m - 4*x = 118, 0*x - 36 = -2*m - 4*x. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 611*w. Let k(a) = 22*a. Determine k(v(y)).\nAnswer: 13442*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 222 + -117?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1021 + 220212132300?\nAnswer: 220212131213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 47 = 3*r + 177, -34 = r + 3*m. Put 3, -1, r in decreasing order.\nAnswer: 3, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/7 + 7194658*a**2\/7 - 1027808*a.\nAnswer: -2*a*(a - 3597328)*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 16*j**2 - 5*j - 13. Is q(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5718*x**2 - 1542 wrt x?\nAnswer: -11436*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 670597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3669797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -11, -44, 0, -1, -4 in ascending order.\nAnswer: -44, -11, -4, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 440*p + 451*p.\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 n, and 1 q when three letters picked without replacement from mmnqqmmmmnmm.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -942*i**3 + 2*i**2 - 3*i + 15233 wrt i.\nAnswer: -2826*i**2 + 4*i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (264\/(-33) - -3) + (-136)\/(-24). Let m = -0.1 + 0.6. Let d = 0.1 - m. Which is the smallest value? (a) -2 (b) d (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*z = 141 + 392 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 944 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 3*h**5\/10 - 2*h**4 - 25*h. What is the third derivative of i(q) wrt q?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 9*x + 6. Let g = 2 - -7. What is the smallest common multiple of c(g) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 9. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 328 - 299. Let j(s) = -s**2 + 26*s - 83. Let b be j(g). Is b != -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/8)\/(23\/276). Solve 5 = z*y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -837 - 177185?\nAnswer: -178022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -28509 times 1?\nAnswer: -28509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t + 25. Let b be 4\/(-3) + 2262\/117. What is w(b)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10515778.665 to the nearest 1000.\nAnswer: 10516000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from squqqssusqs?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 9:17 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6669 = -44*s + 29109. What is the least common multiple of s and 12?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-83 - 1)\/(51\/(-34)). Round r to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 30. Suppose -7*j + 2*j + 75 = 0. Calculate the greatest common divisor of m and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62 + -61.26. Let l = 4.84 - k. Let j = l + -1.1. Which is the nearest to 0? (a) 0 (b) j (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2020 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**4 + 0*u**4 + 3*u**4 + (31*u**4 - 5*u**4 + 12*u**4)*((-3 - 1 - 3)*(2 - 3 + 0) - 1 + 6 - 3).\nAnswer: 340*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*x - 13 + 53 + 50 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 0*l**3 + 0*l**4 - 2*l + 261\/2*l**2 + 10 - 133\/10*l**5. Differentiate h(v) with respect to v.\nAnswer: -798*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642 is divided by 211?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/959 equal to 5945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, j: 6}. What is prob of sequence yjj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) -0.2 (b) -1\/3 (c) -0.1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 11:40 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (347*v**2 - 321 - 106*v - 6*v + 96 + 226)*(2*v - 3*v + 3*v) in the form y*v**2 + k*v**3 + f + o*v and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j + 2*j - 14*j + 2*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -166, 4, 1, -2, -17, -3 in increasing order.\nAnswer: -166, -17, -3, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*(-5 + (-3 + (sqrt(153)*5)\/sqrt(9) + sqrt(272) + 3)**2).\nAnswer: 6857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.16, -4, -4\/7, 2\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-10))\/(210\/700)*51*(-6)\/(-63)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1028293 to the nearest 10000.\nAnswer: -1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 + -980.687?\nAnswer: -980.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.034 - -196.034. Which is the biggest value? (a) -1\/4 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3830 divided by 1132\nAnswer: 1915\/566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -45*k - 654. Let r(f) = -f**3 - 14*f**2 - 13*f - 13. Determine r(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405)*-3 + sqrt(180)*-2.\nAnswer: -39*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 4*s + 13*h, 50 = -5*s - 4*h + 17 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*j**5 - j**4 + 551*j**3 - 103*j**2 - 23*j wrt j.\nAnswer: -1200*j**2 - 24*j + 3306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**6\/1980 + d**5\/330 + 5*d**4\/44 - 30*d**3 + 31*d. Let i(n) be the second derivative of a(n). Factor i(c).\nAnswer: -2*(c - 5)*(c + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/9*56\/(-739200)*-88\nAnswer: -2\/225","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50994313?\nAnswer: 50994313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*a - 384, 0*p + 507 = 4*p + a. Calculate the smallest common multiple of 480\/27 + (-2)\/(-9) and p.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tejt when four letters picked without replacement from ottojofjojjtftte.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0 + 13*k + 0*k - 9*k + 3 wrt k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 1645*g**6\/6 - 119*g**2 + 1016. Find the second derivative of q(w) wrt w.\nAnswer: 32900*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fourty-eight fifths of a millennium?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(9\/(450\/(-68))). Let u = w - -12\/17. Let g = -213.5 - -213.7. Which is the nearest to 0? (a) 18 (b) u (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1718604, 6874443, 15467508, 27497799, 42965316, 61870059?\n\"Answer: 1718613*n**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**3 - 2*l**2 - 2*l - 2. Let f(y) = 5*y**3 + 7 - 6*y**3 + 26*y + 4*y**2 - 12*y**3 - 19*y + 3*y**2. What is 2*f(t) + 7*o(t)?\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 32. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 - -12 - (-8 + 5 - (1 + -8 - -1))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y. Let q(v) = -3*v + 2. Let g be q(2). Let d(f) be the first derivative of -3*f**2\/2 - 30. Calculate g*k(c) - d(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 360 divide 15647040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -581*z + 26 = 3*y - 579*z, 0 = -5*z + 80 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1799 + 6608 = 7*g. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 336430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010598015 to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 4 (c) 0 (d) -1.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12411*j = -12568*j + 628 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3344 less than or equal to -3343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -79*f + 4. List the prime factors of s(-3).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17321\/20 - 866. Let q(g) be the third derivative of 2\/3*g**3 + 3*g**2 + 0*g**4 - n*g**5 + 0*g + 0. Differentiate q(f) with respect to f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 1239 - 1245. Let n = -7 - -22. What is the least common multiple of n and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - k + 720 = 386 + 344, 5*k = 4*r + 22 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 79*u - 3. Let k(a) = -1107*a + 41. Give 6*k(m) + 82*r(m).\nAnswer: -164*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 5*v = -0*v + 35, 7875*b + 3*v = 7874*b - 29 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 3, 7785, 0.2, -0.2 in decreasing order.\nAnswer: 7785, 3, 0.4, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -132?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122210?\nAnswer: 2, 5, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1779342?\nAnswer: 2, 3, 296557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 62 + 0 = -r, 0 = -5*n - 4*r + 115. Calculate the remainder when 72 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -712 + 574 = -23*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -81, -175, -307, -477?\nAnswer: -685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 96493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 7. Let t be v(7). Solve 5*m - 5*p = -t*p - 10, -2*m = 4*p - 14 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2599861 + 1.26. What is q rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/98)\/(5\/(-4)). What is the third biggest value in -3, h, 3\/2, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 - 45. Suppose j = 6*x + 2*x - 16. Let s(o) = -o**2 + 5*o - 3. Let h be s(3). Solve 5*m - 25 = -t - h*t, -x*t - 5 = -m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) 1\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a kilometer in meters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 4*h + 8 - 20, 0 = x + 2*h + 18 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uddddidzzzidzqiddqd. What is prob of picking 1 u and 1 z?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -330, -664, -998, -1332, -1666?\nAnswer: -2000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42792938*f**2*l**3 - 118105026*f*l**3 wrt f?\nAnswer: 85585876*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -96*y**4 - 2*y**3 + 4*y - 3353 wrt y.\nAnswer: -384*y**3 - 6*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44736143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2772076.\nAnswer: 2, 693019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p + 2*p + 0*p. Suppose -q - 2*q = 3*w, 5*q + w - 4 = 0. Let o(a) = -3*a**2 + 6. Let z(t) = t**2 - 1. Let d(i) = q*o(i) + 6*z(i). Determine d(y(v)).\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 430*o**3 - 210*o**2 + 4*o + 4. Let c(s) = 431*s**3 - 207*s**2 + 3*s + 3. Let r(m) = 4*c(m) - 3*d(m). Find the third derivative of r(b) wrt b.\nAnswer: 2604","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 - 25\/(20\/(-4)). Suppose 18*i = f*i + 8. What is n in -26*n - 5*n**i - 13*n**2 - 4*n**2 - 19 + 15 = 0?\nAnswer: -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**8\/1176 - 2*g**7\/245 - g**6\/140 + g**5\/21 - g**2 + 7. Find h such that l(h) = 0.\nAnswer: -5, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -5 (c) -1 (d) -11 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4*w + 9, -24 + 6 = 4*d - 2*w. Does -5 = d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3488*b**2 + 3679*b**2 - 7214*b**2.\nAnswer: -47*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2380 = 5*a. Suppose 11*r - 6*r = a. Is 17 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60632 by -88.\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**3\/3 - 4*d**2 + 26*d\/3 + 28 = 0. What is d?\nAnswer: -7, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + a + 1379, -9*a - 1375 = -4*l - 4*a. Let b = l - 5863\/17. What is the biggest value in b, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((-13)\/(13\/5)). What is the fourth smallest value in y, 1\/4, -61, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101\/6 + -3529\/210. What is the smallest value in y, -2, 2, 2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 t, and 1 g when three letters picked without replacement from {i: 4, t: 1, v: 3, g: 4, o: 2, r: 3}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*m - 111*m = 64*m - 931855. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101101011 (base 2) to base 13.\nAnswer: 21c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from {r: 4, p: 2, h: 1, v: 1, b: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((1 + -1)*-1)\/2. Let k be -7*2\/(-66) + 1\/3. Is i at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*p - 7*p - 11*p)*(-7 + 1 - 1)*(-24*p**2 + 24*p**2 + 9*p**3).\nAnswer: 567*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2959546173 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q**2 + 0*q**2 - q**2)*(-1148 - 2838 - 724) to the form d*q + x + z*q**2 and give z.\nAnswer: -9420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 155288.8mg in micrograms?\nAnswer: 155288800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1.01806 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**7\/35 + 3*l**6\/40 + 1310*l**3\/3 - 1725*l**2. Differentiate j(d) with respect to d.\nAnswer: -24*d**3 + 27*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18839120 to the nearest one hundred thousand.\nAnswer: -18800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 19110*o**2.\nAnswer: -3*o**2*(o + 6370)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*2\/10 + (-2662)\/(-55). What is the highest common divisor of y and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 2*k + 2 + 0*k)*(48*k**4 - 114*k**4 + 253*k**4).\nAnswer: -374*k**5 + 374*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -1 + -141 + 155.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - -15. Suppose -q = q - y. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*h**3 - 18*h**2 - 169*h + 20847.\nAnswer: -18*h**2 - 36*h - 169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19215 or 57767?\nAnswer: 19215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**6\/120 - 11*o**5\/60 + 7*o**3\/6 + o**2. Let f be s(11). Let n = f - -14. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -646 or -3232\/5?\nAnswer: -3232\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.00676, -119\/30, -2 in decreasing order.\nAnswer: -0.00676, -2, -119\/30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 881 is divided by 881?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 84 = 3*m. Suppose u - 12 = 2*u. Let x = m + u. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 11\/824837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - -0.1. Let g = 248 - 252. Which is the second biggest value? (a) n (b) 0.5 (c) 4 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 336 - -169. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5758 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74223 by 6.\nAnswer: -24741\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z*(z\/(z**16*z))\/z))\/z**(2\/15))\/((z*z**(7\/3))\/z**8) assuming z is positive.\nAnswer: z**(338\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-16)\/12)*(-30)\/20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2231947 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 84246 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 4*a - 24, 0 = -p - 5*a + 4*a + 8. Calculate the highest common divisor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 2*f + s + 9, -3*f - 6 = 2*s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q**3 + 4*q**3 + 7*q**3)*(-8*q + 2*q + q)*(3 - 63 - 22) as s*q**4 + i*q + b*q**2 + m + u*q**3 and give s.\nAnswer: 4510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-4)*(-4)\/5. Let i(a) = z*a + 4*a - 4*a. Let m(g) = 22*g - 18 - 15 + 33 - 5*g. Determine i(m(r)).\nAnswer: 34*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-8\/5)*p*p\/p**(-3))\/(p\/(p*p*p\/p**8)*(p\/p**(-2\/9))\/p) assuming p is positive.\nAnswer: p**(-82\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 15. Let z be ((-26)\/65)\/(0 - h\/(-10)). Solve 5*l = -a + 2*a + 19, 2*l - z*a - 22 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -51? (a) 3\/8 (b) -0.3 (c) 5\/2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 4630*i + 124286. What is w(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -111010110 (base 2) to base 9\nAnswer: -572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5738718.42 to the nearest ten thousand.\nAnswer: -5740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.17 (c) 158\/427\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**3 + 2354*i**2 + 30759*i + 28404 = 0. What is i?\nAnswer: -12, -1, 2367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 5:16 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 40980?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.792093 millilitres?\nAnswer: 0.004792093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*l - 9381 + 9810 = 0 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = s - 6*s. Let o(i) = -i**2 + 4*i + 2. Let b be o(s). Suppose -v = -b*v + 40. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-72)\/(-5)*(-2405)\/195. Let c = r - -178. Let x = 1 + -0.9. Sort c, x, 35 in increasing order.\nAnswer: x, c, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqgqegqqgqggngnnele. What is prob of sequence geq?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-2 + -1 + 2). Suppose p*g = -g + 4. What is the second derivative of g*n**5 + 7*n + 3*n**5 + 2*n**5 - 3*n**5 wrt n?\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 1, -1, -77335, 4.\nAnswer: -77335, -27, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -14. Suppose 2*g - 3 = -5*f + 15, 0 = z*f + g - 8. Which is the closest to 0? (a) f (b) -2\/9 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0259033 centuries to years.\nAnswer: 2.59033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 4*a**3 + 380*a**2 + 3768*a + 6048 = 0.\nAnswer: -84, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1053694 is divided by 117.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6668218?\nAnswer: 2, 3334109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4 = -x + 4*g, 0 = -2*x - g + 12. Solve 3*i = -x*u - 7, -4*u = -i - 2*u - 9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 14. Let h be o(4). Suppose h*d - 12*d + 28 = 0. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 302531 = q + 83336, 4*c + 657596 = 3*q. What is q rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s. Let j be y(0). Sort -1, j, -18 in decreasing order.\nAnswer: j, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 21 - 1. Suppose -j*b + 371 = -a, -2*b - a + 181 = -0*a. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 978112407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -48.3?\nAnswer: 51.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -507 and 0.3.\nAnswer: -152.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17900317?\nAnswer: 17900317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 867.32.\nAnswer: 866.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -5, 4888, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303719 is divided by 94?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11.36 and -1.81231.\nAnswer: 9.54769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1526 - 1526. Sort -0.017, -0.1, 1\/5, w, 15.\nAnswer: -0.1, -0.017, w, 1\/5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -0.01645.\nAnswer: -0.0329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5205418 - -27616. Let c = d - -5177796.999998. Let w = c - -5. What is w rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6 = -0. Let f be 168\/(-20) - q\/5. Let z = f + 14. Solve 0*i - 5*i = -z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33d5ca (base 14) to base 4\nAnswer: 12233002232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 30*u - 1288. What is the greatest common factor of u and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-48)*-4*-4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/31, -155\/2, 0.3, -4, 0.5, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -u**5\/20 + 5*u**4\/6 + 5*u**3\/2 - 19*u**2\/2 + 244*u. What is j(11)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.1, 3\/4, -527, -2 in ascending order.\nAnswer: -527, -2, -2\/7, 0.1, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.9 rounded to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -1\/4, -5, -3\/7 in ascending order.\nAnswer: -5, -4\/7, -3\/7, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1, -7.8, 0.3, -2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7369?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 2*j**2 + 2*j. Let w be y(-2). Let b = w - -10. What is the highest common factor of b and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -465837691*a**5 + 10*a**2 + 21463*a - 585 wrt a.\nAnswer: -27950261460*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 173 - 170. Suppose -8*u - 50 + 10 = 0. Sort u, 1, 3\/43, g in ascending order.\nAnswer: u, 3\/43, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1522 + 1022. Let w(h) = 2*h**3 + 13*h**2 + 24*h + 39. Let d be w(-8). Let z = d - q. What are the prime factors of z?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/11)*i**(-12)\/i)**(-10\/3)*(i\/((i**(-1)*i)\/i*i)*i)**(-41)\/(i*i*(i*i*i**(1\/12)\/i)\/i*(i\/i**(-1\/10))\/i) assuming i is positive.\nAnswer: i**(-9787\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z - 172 = 0. What are the prime factors of z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2755 and 12673.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 2*f + 19 = 0, 7*o + 157*f - 7 = 144*f + 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2034 - 1432. Suppose -u - 2*o + 265 = 0, -3*u + 173 = o - s. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16385820 and 83435?\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 810 a factor of 23163570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 q, and 2 f when four letters picked without replacement from {q: 1, f: 12, h: 5, x: 1}.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2552\/11 - (-1 - -8). Let g = v - 163. What is the remainder when g is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152918221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.8 + -5.9. What is the biggest value in h, 3\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 177 and 17877?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**2. Let y(g) be the third derivative of -13*g**5\/60 + 35*g**2. What is y(i(c))?\nAnswer: -208*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 127 + -47. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 7. Let h be 3\/6*(t + -2). Suppose 0 = -4*k + h*x - 2, 5 - 13 = k - 2*x. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1765810390?\nAnswer: 2, 5, 6949, 25411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 p when four letters picked without replacement from {h: 3, e: 1, t: 1, p: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -6. Let h = -0.057 - 1.943. Sort d, 2\/9, h in decreasing order.\nAnswer: 2\/9, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3 - 172*h**2 - 3698*h = 0. Calculate h.\nAnswer: -43, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12*-3)\/(14\/(-721))?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1077 and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = z - 390, -11*b = 4*z - 13*b - 1650. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196) + -4*sqrt(196)*-1)\/(sqrt(63) - -1*sqrt(63)).\nAnswer: 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + -5362747.44.\nAnswer: -5362742.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -37122 (base 10) in base 15?\nAnswer: -aeec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 - 117675 - 2*p**3 + 117683.\nAnswer: -p**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*x - 138, -2*x + 162 = -0*x - 5*w. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + -89\/3. Let k = -13 + 8. Sort k, f, 0.2 in decreasing order.\nAnswer: f, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 42*y**3 - 7*y**2 + 7*y - 7. Let x(q) = -21*q**3 + 3*q**2 - 3*q + 3. Calculate -3*u(l) - 7*x(l).\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100010101001010 - 10?\nAnswer: 1100010101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 461512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -295237638283 from -5.\nAnswer: 295237638278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(128) + -2)*4*-2 + -2 + sqrt(128) + sqrt(128) + sqrt(128) + 2 + sqrt(128) + -2 + -1)*-5)**2.\nAnswer: -27200*sqrt(2) + 58425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5637 + -5633. Let t be 90624\/390 - 4\/(-10). Let g = 233 - t. Put -0.5, q, 2, g in increasing order.\nAnswer: -0.5, g, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + (-4)\/12)*3. Suppose -i*c + 18 = -2. Suppose -c*j + 264 = h, -5*h = -2*j - 0*j + 132. Is 28 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 4004?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 52 = -m + 3*m, 5*m - 4*q = 133. Suppose -9*k - 56 = m. Let d be (-3 + (-24)\/k)\/((-1)\/33). Solve -4*i + 1 + d = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 9*c + 2. Let m be i(-9). Determine a so that -4*a**m - 8*a + 3 + 1 - 8 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -9.15. Let o = 0.05 + s. Let k = o - -0.4. Which is the second biggest value? (a) -1 (b) -0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 3*s = 12. Let q be (22 + -23)*(0 + -1 - -1). Let a = -589 + 594. Solve s*y = -a*d - 25, -d - y - 5 = -q*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**7\/105 + v**6\/30 + v**5\/30 + 71*v**2\/2 - 4*v - 2. Let k(x) be the first derivative of n(x). Factor k(t).\nAnswer: 2*t**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*u = -f - 26, 10 = 5*f - 5*u. Let b = f + 36. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g**2 - 2*g**2 - 2*g**2 + (0*g + 0*g + 2*g**2)*(48 - 236 - 212) + (-g + 1 - 1)*(-g + g + 2*g) - g**2 + 0*g**2 + 0*g**2.\nAnswer: -801*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/(-49) + (1465\/(-315) - -4). Which is smaller: y or -2.9?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 10:09 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.9 + -3. Let l be (68\/4896 + (-2)\/16)*-2. Do l and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 535.44 from 2681.\nAnswer: 2145.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3686100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 15 = -5. Suppose 5*t + a*q - 2 = 0, -5*t + 3*q - 7*q + 4 = 0. Solve 5*i = 2*k + 23, 0 = 3*k - t - 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/140 and -61\/208600?\nAnswer: 208600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15311395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/8 - (-204)\/16. Suppose -2*r = r - s. Suppose -b = 4*d + 2, 5*b - b = -4*d + r. Solve 4*n + b + 6 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81254 (base 9) to base 5\nAnswer: 3202203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282522 is divided by 285?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*p**2*r**3*z - 11*p*r**3 - 2*p*r*z - 13*r**3*z + r**3 - 4*z with respect to p.\nAnswer: 6*p*r**3*z - 11*r**3 - 2*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*a - 28 = -4*w, -5*w + 24 = -a. Suppose w = -x + 10. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/316489 or 1?\nAnswer: 15\/316489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 103.276 + -9937.176. Round y to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1712, 1714, 1716, 1718, 1720?\n\"Answer: 2*o + 1710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*sqrt(54)\/sqrt(3))\/((-2*sqrt(99))\/sqrt(11)) - (((2*sqrt(22))\/sqrt(11) - ((sqrt(72)\/sqrt(4))\/sqrt(9) + sqrt(2))) + -1))*-4)**2*-3.\nAnswer: -912 + 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.31. Let m = i - 0.99. Let d = 9 + -9. Which is the nearest to d? (a) 3 (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.41 and -4258.\nAnswer: -4258.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 17*y**2 + 75*y + 92. What is a(-11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-11))\/1*((-780)\/(-143))\/(-30)\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28993800 divided by -1260600.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + 50?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6870 + 6951. Which is bigger: m or -1.6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1719 and 49526109.\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**5*h + f**3*h + 53*f**3 + f*h + 3*f - 78 wrt f?\nAnswer: 40*f**3*h + 6*f*h + 318*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22104 and 5.\nAnswer: 110520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**5 - 841*g**3 - 653*g**2 wrt g?\nAnswer: -60*g**2 - 5046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85 - 58. Calculate the remainder when 132 is divided by z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28.36 + -0.36. Let o = 27 - r. Which is the nearest to -2\/7? (a) -4 (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3632256 divided by -32?\nAnswer: 113508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -15855 (base 15) to base 7\nAnswer: -406163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -14. Let s = g + -6. Which is the third biggest value? (a) 1\/2 (b) s (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 - 5 - 2*u**3)*(5*u - u - 3*u) + 24*u**2 - u**4 - 24*u**2)*(4 + 1 - 6)*(3 + 1 - 1) in the form r + w*u**2 + s*u + o*u**4 + f*u**3 and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-9))\/(4\/6). What is the closest to -0.2 in -4, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 14*x**2. Suppose 0 = -d + 6 - 2. Let g(o) = 8*o - 4*o + d*o - 3*o. What is s(g(q))?\nAnswer: 350*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c + 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02146 - -0.0042. What is t rounded to 4 decimal places?\nAnswer: 0.0257","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*m**2 - 14245*m - 1405993 wrt m?\nAnswer: 14*m - 14245","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -300 - -386. Suppose 4*j = -4*r + w + 158, r = -4*j + 61. Suppose l + 99 = 4*l. What is the remainder when r is divided by l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 292133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + 6. Let c = 25 + w. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -54, -104, -152, -198?\n\"Answer: k**2 - 53*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1499829458?\nAnswer: 2, 749914729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 256?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 260*b - 2597. Calculate m(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*((k**(4\/3)*k)\/k)\/k*k)\/(k*k**(-4\/9)*k))\/(k*k*k**(-12)*k)**(9\/7))**(-2\/19) assuming k is positive.\nAnswer: k**(-1556\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/378 and 2273\/(-18711) + (-714)\/(-7854)?\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9976056767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l - 18. Let f(t) = 12*t + 81. Let h(w) = 4*f(w) + 18*g(w). Suppose n = -3 + 6. Let k(i) = 5 - 5 + n*i. Calculate k(h(o)).\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 571?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sccc when four letters picked without replacement from {s: 10, c: 10}.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 542634 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a - 18. Let y(v) = -9*v. Determine i(y(w)).\nAnswer: 18*w - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.3 + 5. Let s = -0.38 - 0.02. Let j = s - n. What is the third biggest value in -4, 2\/7, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1650 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 655331.9 weeks?\nAnswer: 396344733120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)\/(sqrt(9)*-1) + sqrt(135)\/sqrt(3)*2)\/(sqrt(1296) - -2*-1*sqrt(1296)).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*k - 4. Calculate the remainder when 18 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*252\/(-147) - (3 - 4)*-1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1040 divided by -8\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -41. What is the highest common factor of f and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 138*q - 142*q + 2*j, 4*q = -j - 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 3*w**2 - 2*w + 3. Is t(-3) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -12*k - 5. Let n(x) = x - 13. Let p(l) = 10. Let r(f) = -3*n(f) - 4*p(f). Determine 2*b(c) - 9*r(c).\nAnswer: 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1687 + 0.17. What is y rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 36 = -0*n. Solve n = 5*q - q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 0*x**4 + 2 + 48*x + 0*x**3 - 79\/2*x**2 + 2\/5*x**5. Differentiate j(f) with respect to f.\nAnswer: 8*f**3 - 79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 103 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.43 or -78?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 5:16 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 626\/15 - 207\/5. Which is the second smallest value? (a) x (b) -1\/3 (c) 47\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 54*b**2 - 16*b**3 + b.\nAnswer: -16*b**3 - 54*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24156 = 97140*w - 96774*w for w.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*g + 137 + 121 = 0. Let h be (6 - (-1 - -3))\/2. Suppose -24\/5*s**h + 0 - 3\/5*s**4 - 3*s**g - 12\/5*s = 0. Calculate s.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96861456.\nAnswer: 2, 3, 43, 15643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 820, 3285, 7410, 13213, 20712, 29925, 40870, 53565?\n\"Answer: 3*z**3 + 812*z**2 + 8*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 13*u**3\/7 - 15473*u**2\/7 - 136606*u\/7 - 95920\/7 = 0?\nAnswer: -8, -10\/13, 1199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 - 0.6. Let q = 2 + p. Which is the third smallest value? (a) q (b) 0 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2573\/1368 - -1\/171. Suppose 1 = -2*a + a. Which is bigger: a or f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-1 - 5)*-1. Suppose -3*u = -2*d, -3*d + a*d = u. Which is smaller: -2\/469 or u?\nAnswer: -2\/469","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 b, and 2 j when four letters picked without replacement from bsbrrdssrsjjrbsb.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29399 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 27*g - 4. Let u be d(2). Let t = -47 + u. Let l(w) = 2*w - 3*w + t*w - w. Let n(r) = -4*r**2. Calculate l(n(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71786082*m**2 + 218*m - 2603 wrt m?\nAnswer: -143572164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/48 and 59\/4.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*x + 774456 = 189*x. What is the ten thousands digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*o - 8267 = 2653. Is 24 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 + -1.2. Let i = k - -0.2. Let g be 2\/5*75\/60. Which is the third biggest value? (a) 3 (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + -125. Round v to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*5*-6*(sqrt(60) + sqrt(720)\/(-2*sqrt(12)))\/sqrt(12)*-4 + 3.\nAnswer: 3 + 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**18\/((n**(-5\/4)*n)\/n)*n**(-1\/28)*n**(-16))**(-28) assuming n is positive.\nAnswer: n**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 722*b**2*n**3*z - 9*b**2*n**2 - 4*b**2*n*z + 23*b**2*n + 2*b*z - 26*n**6 + 3*n**2*z wrt n.\nAnswer: 4332*b**2*z - 3120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 10. Let n be h(-9). Let x = -0.7 - -0.2. Which is the third biggest value? (a) n (b) -2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 - 8*u**3 - 2*u**4 + 101 + 9*u**3 - 3*u**3 + 3*u**2 - u**2 - 2*u in the form q + i*u + j*u**4 + g*u**2 + l*u**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 25342222?\nAnswer: 152053332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven quarters of a millisecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k - 13*k - 11 + 8*k. What is the common denominator of j(-5) and 27\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.309805718 to two decimal places.\nAnswer: -7.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -497 - -510. Is 16 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1276797563 to the nearest integer?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/(-18)*(-17)\/1275?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2997 - -2997. Let w = 56\/171 + -2\/9. Let c = 8.3 - 8. Sort -1\/8, w, f, c.\nAnswer: -1\/8, f, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367470?\nAnswer: 2, 3, 5, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/7 of a week in minutes?\nAnswer: 54720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 141\/17500 and -17\/2500.\nAnswer: 17500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3998, 8004, 12010, 16016, 20022, 24028?\nAnswer: 28034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1612?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*v**2 + 8531*v**3 - v**2 + 67280*v**3 + 11*v**2 - 5456*v**3)*(0*v + 0*v + 2*v**2).\nAnswer: 140710*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19873*m - 5*m**2 + 4*m**2 - 11*m**2 - 19873*m + 25.\nAnswer: -12*m**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7358336361218715.94000063 + 7358336411522154. Let l = 50303439 - b. Let r = -0.94 + l. What is r rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**4\/12 - b - 4. Let d(u) be the third derivative of -u**4\/8 + u**2. Give h(d(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.2, 4, 0.5, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69 + 97. List the prime factors of f\/3*3\/2.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*c. Let b(s) be the first derivative of -s**3\/3 + 20*s + 118. Let g be b(-4). Solve c = g*u - u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 5*b**2 + 6*b - 5. Suppose -36 = 3*a - 6*a. Suppose -3*s - a = -5*s. Give t(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 736*k + 80 = 10*r + 740*k, 0 = -5*r - 3*k + 45 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(16\/(-6))*16\/48.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 8) + -14 - ((0 - -1) + 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.33 - -2.67. Sort 1\/6, -2\/11, o, 1 in increasing order.\nAnswer: -2\/11, 1\/6, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.223 (b) -4 (c) 1\/2 (d) -0.1 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3231 = 2*d - b, 154*d + 3*b - 3235 = 152*d. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 958466\nAnswer: 3\/958466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 25, 3, -19, -41, -63?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-154)\/(-21)*206\/824.\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 - 21*q - 4*q**3 - 3*q**3 + 4*q**4 + 2 - 9*q**3 + 18*q**3 as a + m*q + h*q**3 + w*q**2 + d*q**4 and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -474, -474, -472, -468, -462, -454, -444?\n\"Answer: n**2 - 3*n - 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*a**2 + 10*a**2 - 2*a**2)*(-a + 4 - 4) - 220*a**3 + 134*a**3 - 570*a**3 in the form v + z*a**3 + y*a + l*a**2 and give z.\nAnswer: -659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/27*(10\/12)\/(1290\/(-2322))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(198\/(-70)) + (20\/11 - 2). Solve -a - o = 3*g, -2*a + 3*g = 2*a - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - -5 - (0 + 0). What is the second derivative of -g + 0*g**a - 3*g**5 + 4*g + 4*g**5 wrt g?\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 2. Suppose 0 = -4*q + 7 + 1. Put b, q, -2\/3 in increasing order.\nAnswer: b, -2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-1*(-1 + (sqrt(2) - sqrt(2)*-1)))**2 - (sqrt(6) - sqrt(6)*-1*-4)\/sqrt(3)) + -5.\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.28070976 to 3 decimal places.\nAnswer: -1.281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -23*v - 86, -4*p - 176 = -5*v - 184 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -60*k - 10. Let p be w(3). Let l = p + 279. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12787630 and 402760.\nAnswer: 51150520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/225*55*5\/2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 6\/5*u**2 + 0 - u + 1\/5*u**5 + 4\/5*u**3 - 6\/5*u**4 = 0?\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*g = 66*g + 88 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1005770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 13. Let a be 23\/s + (-2)\/(-5). Suppose -8 = k + a*w, -k + 2*w = -0*w - 6. What is the greatest common divisor of k and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 1. Let a(b) = 0*b**2 + 2*b**2 + 33*b**3 - 34*b**3 - 2. Calculate -a(p) - 2*r(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p + 5. Let h be x(-6). Let z = 39 - h. Solve -i = 3*i - z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 3 - 2 - (-4 + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q**2 - 47*q + 578. Let t be l(7). Solve 14 = -c + t*r, 3*c + 75 - 89 = -2*r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-58)\/(-5) - -3 - -18*(-8)\/240. Solve 9*d - z*d = -3*y + 35, 0 = -d - y + 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 6*h - 15. Determine s(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3302 divided by 120.\nAnswer: 1651\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*i = 148, -61 = 57*u - 61*u - 5*i. Let y = 10 - 7. Suppose y*x - 20 = -8. Solve -a + 5*n = 2*a + 20, x*a + u = 4*n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -29. Let f(p) = 0 + i*p**3 - 2 + p + 8*p**2 - 9*p**2. What is the tens digit of f(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-108))\/(100\/12 - 7)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**7)\/o*o*o**7)**(-21)*(o**(3\/4)*o\/(o\/o**5))\/(o**(-2\/17)*o\/((o\/o**1)\/o)) assuming o is positive.\nAnswer: o**(-22585\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 307905679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/10)\/((-4)\/(-98)) and (-433)\/(-396) - (-25 + (-6272)\/(-252))?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 375531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1318 - 1318 - 7*d**2)*(-2*d + 3*d + 0 + 1)*(d - 4 + 4) in the form w*d**4 + n*d + c*d**2 + l*d**3 + t and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16823 is divided by 2349.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5941*n*p**5 - 184*n*p**2 - 5*n + 20*p**5 + 2*p**2 + 18*p wrt p.\nAnswer: 356460*n*p**2 + 1200*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -17*k. Let c be m(-6). Let b = -843\/8 + c. Find the common denominator of 32 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 242*r + 99. Let a(p) = -73*p - 30. Let s(o) = 33*a(o) + 10*v(o). Let j(z) = -12*z. Calculate -5*j(b) - 4*s(b).\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 2\/11 (c) 8\/9 (d) 0.1095 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4061.4*-3.3918.\nAnswer: 13775.45652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 1. Suppose h - 5*j - 22 = 0, -h = -0*j + r*j - 1. Let g(m) = m**3 - 4*m**2 + 2*m + 8*m - h - 14*m. Give g(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/5))**(-3\/13)*i**3\/(i*i*i**(-2\/15)))\/((i**(-1\/2)*i*i\/i**(2\/9)*i)\/(i**(-2\/3)*(i*i\/i**(-5))\/i)) assuming i is positive.\nAnswer: i**(4793\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/300 and -11\/30810.\nAnswer: 308100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**5\/330 - 151*p**4\/66 + 4*p**2 - 131*p - 3. Factor r(x).\nAnswer: 2*x*(x - 302)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00096481 to 6 dps.\nAnswer: -0.000965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 30) + ((-2160)\/(-320))\/(3\/4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*x - 75*x - 4 = 0. Which is the fourth biggest value? (a) 0.4 (b) x (c) -0.2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4595.5 (b) -0.04 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -5) + -94 + 38 + 33.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -8272*s. Let h(k) = 19*k**2. Calculate h(j(u)).\nAnswer: 1300093696*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779215 is divided by 157.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 6*v**2 - 2*v + 8. Let m be y(6). Let j = m - -12. What is the lowest common multiple of j and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*k = -109880 + 110543 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.5, 0.3, 104804 in ascending order.\nAnswer: -3, 0.3, 0.5, 104804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + sqrt(6)\/(sqrt(14)\/sqrt(7))*1) + -2.\nAnswer: -3*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*h - 230 + 43 - 69 for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-3\/4)*k*k))\/k**(2\/15)*k\/(k*(k\/(k\/k**(2\/3)))\/k)*(k\/(k*k*k\/(k\/k**(1\/16))*k))\/k assuming k is positive.\nAnswer: k**(-249\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 0 - 1\/4*b**4 + 2*b + 0*b**2 + 0*b**3. Let a(l) be the first derivative of 2*l**3\/3 + 2. Calculate a(p(t)).\nAnswer: 18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 4*t + t)*(t + 19 - 19)*(t + 0*t + 0*t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (-3 - -4) + -2 + 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6047200 rounded to the nearest ten thousand?\nAnswer: -6050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 31. Suppose 5*v - 90 = -2*m, 5*m + q + 28 = 4*v. Let t be 1\/(2 - 0)*v*1. Which is the smallest value? (a) t (b) -1 (c) 1\/3 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 35088*w - 35092*w + 13 = 0, -10 = 3*n - 8*n - 0*n - 5*w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.8 + -11.46. What is i rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5515 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 227 + -226.814. Let d = -0.014 - n. Suppose -5*w = -3*g - 11, g - 13 = -4*w + 2*g. What is the nearest to d in -6\/11, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -4, 3\/2, -0.067, -1, -44?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402894?\nAnswer: 2, 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-20))\/(20\/(-28)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) 3 (b) -5 (c) 0.2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + (-7 - -12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00028658784 to 7 decimal places.\nAnswer: 0.0002866","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 5. Let k(s) = 2*s + 56. Let u be k(-26). Suppose 5*y = 4*b - f, -y + 3 = u. Are b and -2\/17 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1674221\/10259340 - 7\/37580. Calculate the common denominator of 63\/5 and w.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*f + 13 = 0, -11*f = -5*d - 13*f - 49. Put 3, d, -5, 1 in decreasing order.\nAnswer: 3, 1, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 24 = -2*d, -7*t - 3*d = -4*t - 90. Calculate the highest common divisor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/9*(-60)\/(-2). Suppose -a = -3*g + w, -4*g + 0*g - 4*w = 0. Put -2\/3, -1\/3, g in ascending order.\nAnswer: -2\/3, -1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*k + 370*k + 173*k + 26400 = 0 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-190)\/95*3\/15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1737*m**5 + 3*m - 277 wrt m?\nAnswer: -34740*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - 1658?\nAnswer: -1673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 570.4105l?\nAnswer: 570410.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 d, 1 i, and 1 o when four letters picked without replacement from qiiqoddpdqjjddoqdo.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(0 + 2 - 1)*(-3*j**5 - 2*j**5 - 6*j**5).\nAnswer: -11*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193 - 2*g + 822 - 98 + 134 + 5*g.\nAnswer: 3*g + 1051","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4910128 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -1001000?\nAnswer: -1000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 4:39 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 24*p**2 - 23*p - 13. Let j be b(-23). Let h = -16 + 28. Calculate the smallest common multiple of h and 0\/j + (20 - 2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 9:11 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.34 - -2.34. Let g = 2 - 2. Let p = g - 0. Put h, 2\/11, p in ascending order.\nAnswer: p, 2\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 0*n - 84. Let r = 149\/7 + n. Let b = 1 - 0. What is the closest to b in 1\/3, 2, r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -646050*c*d**3*w + 7*c*d**3 + 53*c*d*w + 11*d*w + 1192 wrt d?\nAnswer: -3876300*c*d*w + 42*c*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = g + 75. Let j = g - -19. Solve 0 = -j*z - 0 - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*t + 5195. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**5\/11 + 20*v**4\/11 + 46*v**3\/11 + 24*v**2\/11.\nAnswer: -2*v**2*(v - 12)*(v + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 1)\/((-3)\/(-2)). Suppose 0 = -5*g - 2*w + 1044, o*g = w - 3*w + 414. Suppose 0 = -d - 5*u + 38, -6*u = 5*d - u - g. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52113.\nAnswer: 3, 29, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-1 - (4 + -3)). Suppose -d - 2*q + 0 = -b, -5*d + 15 = 5*q. Calculate the greatest common divisor of 1 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -31, -1\/6, 0.5, 0.2 in decreasing order.\nAnswer: 2, 0.5, 0.2, -1\/6, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 8) in base 3?\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18.2 + 18.684. Round c to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/2090)\/((-4)\/460) - (-2)\/19.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(187) + sqrt(187)*-2)*-5 - sqrt(187))*5)\/(sqrt(44)*-3*-6).\nAnswer: 5*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 60 + 7*h - h**2 - 55 - 2*h**2. Let i(r) = r**2 - 3*r - 2. Give 10*i(u) + 4*z(u).\nAnswer: -2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2208334970?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 13*b**2 - 5*b + 4. Let x(k) = -131*k**2 + 6*k + 14. Let y(h) = -26*h**2 + h + 3. Let t(l) = x(l) - 5*y(l). Calculate -f(u) - 6*t(u).\nAnswer: -7*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**5\/4 + 29*p**4\/4 + 97*p**3\/4 - 29*p**2\/4 - 24*p = 0?\nAnswer: -3, -1, 0, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (0 - -3) + 24. Suppose -j = -2*f + 21. Suppose -2*c + 0*c - 3*x + f = 0, -3*c + 37 = 2*x. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 9*c + 9. Let q(b) = -22*b - 22. Let x = -94 - -98. Suppose k + 17 = -a, 0*k - 3*k - 16 = -x*a. Give k*m(v) - 5*q(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16511477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 57*k**2 - 91*k**2 - 28*k - 41 + 33*k**2. Let h be m(-26). Solve 0 = -16*c + h*c + 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -946, -1993, -3040, -4087, -5134?\nAnswer: -6181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, 225, 535, 843, 1149?\nAnswer: 1453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/1089 + 2171\/7623. Which is the second smallest value? (a) o (b) 5 (c) 1.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1052228 != -1.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*m**2 - 174*m**2 - 3*m**3 + 6*m**3 + (-3*m + 5*m + 2*m)*(11*m + 3*m**2 - 11*m) as i*m**2 + h*m**3 + a*m + d and give i.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14896576?\nAnswer: 2, 43, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**3\/18 - 3. Solve r(p) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1509600 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + (sqrt(252) - 2*sqrt(252)))*-5.\nAnswer: -125 + 150*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*(-4*sqrt(153) + 1 + 0))**2.\nAnswer: -768*sqrt(17) + 78368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22102001 + -1?\nAnswer: -22102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54 + -65303001?\nAnswer: -65302614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 721 is divided by 91?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -79 + 184. Suppose 0 = -4*x - 3*w + 66, -14*w - 30 = -19*w. Calculate the remainder when a is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26638081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77.3108148 + -1.3105298. Let h = -54 + -22. Let m = h + r. Round m to 5 dps.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113 - 212.5. Let o = 99 + u. Which is the third biggest value? (a) 0.2 (b) o (c) -3 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7286 - -1841. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86\/93 - -6673\/930. Calculate the common denominator of -95\/16 and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*1*7\/2. What are the prime factors of 2*l\/15*-5?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 173702314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1b4a (base 13) to base 2\nAnswer: 1000000010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaa. Give prob of sequence aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/28523 - -199565\/912736. Find the common denominator of (-4)\/14 + 1958\/1120 and j.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, s: 1, h: 1}. Give prob of sequence hs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2 - 4 = 0. Let b(m) = -m**3 + m**2 + m. Let x be b(-1). Suppose x = 5*a - 4. Sort 2, u, a.\nAnswer: a, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - (5 + 5 + -5)) + -9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*q**2 + 11*q**2 + 102*q + 11*q**2 - 102*q.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148415410?\nAnswer: 2, 5, 11, 13, 103787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1896 and 260384?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 732e (base 15) in base 2?\nAnswer: 101111100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1664606?\nAnswer: 5\/1664606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 156334 - 85583. What are the prime factors of m?\nAnswer: 139, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13655911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2 = 7. Let c = -3 + k. Suppose c = 3*s - 3*p - 3 - 30, 0 = 5*s + 5*p - 45. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-100*m + 6*m - 35*m)*((-3 + 3 - m)*(-5*m + 3*m - m) - 2*m + 2*m - 2*m**2) to a*m + t*m**2 + n + k*m**3 and give k.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + -1)**2 - sqrt(68))*-2 + (sqrt(68) + -1 + 0)**2 - (1 + 4*(-1 + sqrt(68)))**2.\nAnswer: -1166 + 56*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3413320 + 13040?\nAnswer: -3400230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.231, 4, -1, -1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2485 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118541588, -118541617, -118541648, -118541681, -118541716, -118541753, -118541792?\nAnswer: -118541833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5 - 1. Let b be 4 + y + (0 - 1). Suppose 0*d + b*d = 3*s + 2, 0 = -s + 4*d - 3. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.128, 1.1, -20, -0.3.\nAnswer: -20, -0.3, -0.128, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: c (base 14) to base 13\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**3 + v**2. Let b be q(1). Suppose 0 = -2*z - 0*y + y + 1627, -b*y - 800 = -z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 12:31 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1040585?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60955 is divided by 3621.\nAnswer: 3019","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 5*h = -1, -2771 = 2*a + 2*h - 2773 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thtk when four letters picked without replacement from {p: 5, h: 1, c: 3, t: 2, m: 1, k: 1}.\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2822\/27 less than or equal to -30\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5405 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 15 = -9. Suppose -p*q + 3*q = -3*d + 49, q + 41 = 2*d. Calculate the greatest common divisor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32466 (base 8) to base 9.\nAnswer: 20615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, b: 15}. What is prob of sequence bn?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/16)\/((15\/(-20))\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {e: 7, s: 2, h: 1, r: 5, u: 1, c: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 50*p**2 - 76*p + 6. Give d(-48).\nAnswer: -954","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -3, -5.\nAnswer: -5, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2049 + 3392. List the prime factors of z.\nAnswer: 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by 63?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7580999 to the power of 1\/3, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 2\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -0.1 (c) 0.7 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/20)\/(6\/5))\/((-2305)\/48405).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5759 = 21*t - 72329. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50188384.\nAnswer: 2, 79, 19853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 13. Let i be a(-3). Let o be 24\/(-20)*(-25)\/i. Suppose 1 + o = w. Round w to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2540*g - 3255*g + 3628 - 3431*g - 7426*g wrt g?\nAnswer: -11572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/21 - (-1)\/(28\/(-132))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -10083?\nAnswer: -10082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + m**2 + m**2)*(4*m - m**3 + 2*m**3 + 2*m).\nAnswer: -m**5 - 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2238*b**2 + 1127*b**2 + 1115*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u + 2. Let b be k(-2). Let g be (9 - 5)\/(-1 - 1). Let d be g\/(-4) - 3\/b. What is the closest to d in -4, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2587599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 2*l**2 + 5*l - 19. Let i be t(3). Suppose -u - i*s + 53 = -86, 4*u - 4*s = 436. Is 26 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u = 159 + 198. Put 4, u, -3, 0 in increasing order.\nAnswer: -3, 0, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 2*h**2 + 4*h - 12. Let b(a) = -13*a - 13. Suppose 0 = 135*r - 134*r + 2. Calculate r*b(l) - 7*x(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -567504470 divided by -113500894.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/609 and 10\/4798659?\nAnswer: 33590613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33525 and 8876079?\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 317822 and 2.151.\nAnswer: 317824.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/22 - 22*(-417)\/1529.\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 546, 12, 2, -13 in decreasing order.\nAnswer: 546, 12, 2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**2\/2 + 67*c + 135\/2 = 0. What is c?\nAnswer: -1, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61769.\nAnswer: 19, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/1)\/3)\/((-52)\/2)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4923.339556 to the nearest 10.\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3987554?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -63, -216, -513, -1002?\nAnswer: -1731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -43245750 rounded to the nearest one million?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -233?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(605) + -2 + 2)*6)**2.\nAnswer: 87120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 89302553 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 57995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -5*y - 40, 132*t + 2*y + 16 = 262*t - 143*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dawq when four letters picked without replacement from qqawd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 65*x**3 + 1. Let j(p) = -p - 9. Let s be j(-10). Let r(l) = -l**3 + 2*l**2 + l - 1. Let g be r(s). What is the remainder when h(g) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-8))\/(2\/8). Let g = -2 - m. What is the least common multiple of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 2222132?\nAnswer: 2222133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2204*l**5 + 88*l**2 wrt l?\nAnswer: 132240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, i: 8, x: 6}. Give prob of sequence iii.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 525\/35*(-140)\/25*-1.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.08 and -97?\nAnswer: 97.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*h**2 + 48*h + 11 - 8 + 17*h**2 + 74 - 26.\nAnswer: h**2 + 48*h + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 77*z - 730. Let y be a(66). Let q = -1.9 - -0.9. Which is bigger: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*z**3 - 36*z**3 + 107*z**3 - 39*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 31709*h**2. Let v(u) = u. Give q(v(x)).\nAnswer: 31709*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -28, -2, 1.\nAnswer: -28, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-2) - (-1 - -1). Let a(x) = -2 - 4*x**2 - 3*x + x**2 - 2*x**2 + x**h + 3*x**2. What is the tens digit of a(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*t - 18 = -498*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 2*l - 15 + 57 = 4*l, p + 40 = -2*p + 2*l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 10*d - 30 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 378 and 162.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**3\/10 - 27741*b**2\/10 + 15883029*b\/2 - 10839848895\/2 = 0.\nAnswer: -30411, 1335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 6*s**2. Let a be m(6). Solve -4*v + v - 12 = a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0876 (b) 3\/7 (c) 0.014 (d) -4 (e) -52\/7 (f) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*c, -4*z - 3*c - 8 = -7*c. Suppose z = -l + 2 + 5. Calculate the remainder when 27 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -106, -378, -802, -1360, -2034, -2806?\n\"Answer: 3*o**3 - 94*o**2 - 11*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149285 = -276*v + 632594 + 23765. Calculate the greatest common factor of 21 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 9\/25, 12 in ascending order.\nAnswer: 2\/11, 9\/25, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 770167313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*z = -5*u - 163*z - 63, -2*u + 3 = -3*z for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 5*s**2 + 3*s + 2. Suppose 0 = v - 5 + 2. Suppose 15 - 36 = 5*r + v*c, 3*r + 15 = -c. Let g = -10 - r. Determine t(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/32)\/((-243)\/324).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 78635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-306)\/765)\/(16\/(-110)) + -1.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-45)\/(-6) - 4\/(-8). Suppose 109 = 2*x + v, -4*v = -5*x - i + 274. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 0 + 0)*(933*a**2 - 1841*a**2 - 4754*a**2) to u*a + h*a**3 + v*a**2 + m and give h.\nAnswer: 11324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 3*w - 3*w**4 - 22*w**2 + 23*w**2 to the form s*w**4 + p + k*w + z*w**3 + d*w**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -4*y + 62, c + 2*y - 40 = -15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*u + 1682, -5*u - 48*r - 2759 = -45*r. Which is greater: u or -565?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 119082, 119084, 119086?\n\"Answer: 2*n + 119080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-10) - 4420\/(-650). What is the third biggest value in 1.2, d, 2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-2 + 6 + 6)) + 7\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/590070 and -139\/708084.\nAnswer: 3540420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010702881 rounded to 4 dps?\nAnswer: -0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + p - 3*p - 23 = 0, -5*p - 30 = -2*h. What is the remainder when 39 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11680620 divided by -7946\nAnswer: 1470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/5)*q*q**(-8))**(4\/5))**47 assuming q is positive.\nAnswer: q**(-5264\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-56)\/(-5) - (-32)\/40. Suppose -5*a + n = -a. Suppose a*b - m - 32 = 0, -4*b - b = -3*m - 60. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7931 + 7877. What is the nearest to 5 in 5, 1\/2, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and (582\/12 - -3)\/((0 + 1)\/50)?\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - ((-186)\/(-5) - 30)\/(4\/(-10))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000405364 rounded to 5 dps?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4\/4 - 711*d**3\/4 + 10620*d**2 - 10443*d.\nAnswer: 3*d*(d - 118)**2*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 19919143 and 813.\nAnswer: 19919956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181 + 173 + (0 - (1 + -2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -29.\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*o + 90. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3 + 124*q**2 + 896*q + 1728 = 0. Calculate q.\nAnswer: -54, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343)*-1 + 5 + 3)*2 - (-2*(sqrt(70) - (sqrt(70) + sqrt(70) + (-3*sqrt(70) - sqrt(70)) + sqrt(70)) - sqrt(70)))\/(sqrt(70)\/sqrt(63)))**2.\nAnswer: -256*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 16*v**2 + 4*v - 25. What is the remainder when h(16) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166966 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -420*f - 1 + 6 + 814*f - 391*f - 5.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1144481097?\nAnswer: 3, 381493699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 937, 3749, 8435, 14995?\n\"Answer: 937*s**2 + s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from fnntnuf?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (4 + -19) - ((-4 - -12) + -1 - 14).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -374 + 373.9673. Round h to 3 decimal places.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17506942 to the power of 1\/2, to the nearest integer?\nAnswer: 4184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39702557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.92 * 30\nAnswer: -27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.047 (b) -1 (c) 2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23.9? (a) -2 (b) 2\/9 (c) 71 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12641 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*t - 78 + 273 = -134 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -3, 0 = 3*v + 2*v + 2*i - 26 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/1*2\/2. Suppose -2*h + 12 = d*h. Suppose 10*z - 29 - 21 = 0. Calculate the highest common factor of h and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hq when two letters picked without replacement from {h: 7, s: 9, q: 2}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1897772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 - 19. Suppose -r = -4*d + 3*d. Suppose -d = -n - n. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -2*f + 4*g - 8, 0 = -2*f + 3*g - 6. Suppose -i - 45 = 3*s - 7*s, f = -s + i + 9. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1626 + 1611. Let d(s) = 2*s + 18 + 0 + 14. Calculate the lowest common multiple of 1 and d(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, -5, 2 in decreasing order.\nAnswer: 68, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-3)*(1 - 3\/(-9)). Suppose j*h - 108 = -3*c + 1439, -c = -2*h + 781. List the prime factors of h.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320643211?\nAnswer: 7, 6543739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 7*h + 22. Let f be g(-6). Calculate the least common multiple of 4 and 16\/(-6)*f\/(32\/(-21)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -2) + (82 - 86) - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 - 38*g + 38*g)*(-245*g - 131*g - 109*g).\nAnswer: 970*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5088 a factor of 42454272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150, -112, -74, -36, 2, 40?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 14*o + 530. Give u(-38).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/3 - (-10)\/(-12). What is the fifth smallest value in 3\/5, 0.3, b, 4, 3\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -11 - (-1 - -1 - -5 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22.954888 and -3.\nAnswer: -68.864664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5185002?\nAnswer: 2, 3, 864167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -53*l**6\/3 + 2*l**3\/3 + 41*l**2 - 9. Find the third derivative of w(i) wrt i.\nAnswer: -6360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -474, -1055, -1876, -2943, -4262?\nAnswer: -5839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 11:22 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -143 + 145. Put -2, z, -61, -3 in decreasing order.\nAnswer: z, -2, -3, -61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 12:18 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1043, 3660, 6261, 8840, 11391, 13908, 16385, 18816?\n\"Answer: -y**3 - 2*y**2 + 2630*y - 1584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-721)\/(-144) - (-63)\/(8 + 1126) and -27\/10460?\nAnswer: 41840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 4*p**2 - 6 - 2*p + 25 - 6*p**2 + p**2 - 4*p**4 to the form k*p**2 + c + v*p**4 + i*p + r*p**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102110120 (base 3) to base 15.\nAnswer: 2723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 38, 97, 158, 221, 286, 353?\n\"Answer: h**2 + 56*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*c = -j + 21, j - 3*c - 14 = 0. What is the closest to -1\/5 in j, 5, -8\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 3*w + 2, 2*y + w = -y + 8. Let f be (24\/30 + (-2)\/(-10))*1. What is the derivative of 3*b**2 + 9*b**3 - 3*b**y - 11*b**3 - f wrt b?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1056 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54*l**2*s**6 + l**2*s**5 - 2*l**2*s**2 + 154*l*s**2 wrt s.\nAnswer: 6480*l**2*s**3 + 60*l**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -259264320 divided by 3764\nAnswer: -68880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 454 + 18.\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63341425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*w - 36*w = 160. Let l = -18 - w. Solve -6*k + 16 = l*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 7*j + 43. Let t(i) = 15*i + 86. Let o(f) = -4*t(f) + 9*u(f). Let w be o(-9). What is the greatest common factor of 40 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3356 != 3375?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*s - 37 - 18 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, u: 1, p: 9, m: 5}. Give prob of sequence puc.\nAnswer: 3\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-5\/3))\/(p*p**8) assuming p is positive.\nAnswer: p**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1141747?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.62067 to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40.433 or 314?\nAnswer: 40.433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrar when four letters picked without replacement from {a: 7, r: 12}?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 9. Let i be (-2)\/(-2 - 0) + 4. Suppose -i*k = -2*l + 32, -4*k - 50 = 5*l + 2. Let x be 2 + (k - 6\/(-3)). What is r(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**3 + 47*w**2 + 192*w - 34. Let f be l(19). Let u(o) = 8*o - 3. Determine u(f).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109290673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence km when two letters picked without replacement from {s: 1, m: 1, k: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11192 - -16819. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 = 133*h - 178*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*s + 4 + 24, -m + 4*s = 12. Let h(j) = 7*j - 4 + m + 1. Determine h(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 17 = -7. Suppose 0 = 5*l + 10, 4*m = 13*l - 11*l + w. Let y = 58 - 39. Calculate the smallest common multiple of m and y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1114, -589, 280, 1487, 3026, 4891?\nAnswer: 7076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**4\/12 + z**3 + 11*z**2\/2 + z. Let u be l(7). Suppose 12*w - 16 = u*w. Solve 0 = -s - w*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 + 42*l + 38. What is a(-20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of y**4\/24 - y**3 - 32*y**2 + 8*y. Give k(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -199*d**2. Let a(p) = 2645772*p. Determine f(a(s)).\nAnswer: -1393021785720816*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.11 + 0.1. Let m = f - -0.31. Let d = 0.301 - m. What is d rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u + 6*u**2 - 1\/12*u**4 + 0 + 5\/3*u**3. What is the units digit of t(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/2 of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28061 = -1589*b + 4226 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-3))\/((-2)\/3). Find the third derivative of q - 2 + 4*g**2 + 3*g**3 - 2 wrt g.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1069, -1093, -757, -61, 995, 2411?\nAnswer: 4187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -123 - -613\/5. Let q = -104 - -99. Which is the second biggest value? (a) 0.7 (b) n (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -23. Let b = 11 - s. Solve -b*m = -m - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372 is divided by 195?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*q + 1. Let r be 1 + ((-90)\/(-25) - q). Let o = 259 - 262. What is the closest to -2\/5 in 5, o, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.54553km in meters?\nAnswer: 50545.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**3\/4 - 274191*x**2\/2 + 822546*x = 0. What is x?\nAnswer: 0, 6, 182788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1009, 2045, 3055, 4027, 4949, 5809, 6595, 7295?\nAnswer: 7897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 - -128 - (-3 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 96 = -4*q. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*q - 2 + 2)*(0 - 2 + 0) + 3 + q - 3 - 3*q - q + 2*q + (-4*q + 4*q - 2*q)*(-2 + 5 - 2))*(2*q + q - 2*q)*(-392 - 57 - 393).\nAnswer: 9262*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -137?\nAnswer: 1\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -16\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -3589784 in decreasing order.\nAnswer: 2, 0, -3589784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 46\/10 + 22\/55. Suppose j + 20 = n*j. Suppose -4*p + 19 = -3*p. Solve -p - 1 = -j*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*1*-6)\/(sqrt(108)\/((sqrt(48) + sqrt(336)\/sqrt(7) + sqrt(48))\/sqrt(4))).\nAnswer: -72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 4*q - 28, 7*v - 2*v + 25 = 3*q. What is the units digit of v\/6 + 125\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-2*s**2 - 28*s + 2 - 3*s**2 + 26*s).\nAnswer: 10*s**2 + 4*s - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 32 + -85 + 14.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13214, -13218, -13232, -13262, -13314, -13394, -13508, -13662?\n\"Answer: -x**3 + x**2 - 13214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4)*z**(-1)*z)**(-2)*(z**(-3\/5)\/z**1)\/(z\/z**(2\/17)*z*(z\/(z\/z**6))\/z) assuming z is positive.\nAnswer: z**(-1527\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 0*m**3 + 1\/21*m**7 - 1\/15*m**5 + 0*m**2 + 0*m**4 + 0 - m + 1\/9*m**6. Solve j(o) = 0.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 0.11 (c) 1\/12 (d) 1778\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m + 5*m + 81*m**3 - 73*m**3 - 2*m.\nAnswer: 8*m**3 + 13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4354422 + 5?\nAnswer: 4354427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -17, 5, -4, 8 in descending order.\nAnswer: 8, 5, -4, -17, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(2\/7)\/v)\/(((v\/((v**(-4)\/v*v)\/v)*v)\/v)\/v))**9)**(1\/43) assuming v is positive.\nAnswer: v**(-360\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -2\/7, 31, -8\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(-2)\/40*(-110)\/44*0. Is -2\/5653 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = 16*o - 4. Suppose 3*u - o = 8, 0 = 3*i + u + 9. Let z(x) = -2*x + 1. What is the remainder when z(i) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1108563, 2217106, 3325629, 4434132, 5542615?\n\"Answer: -10*n**2 + 1108573*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.4034 millennia in months?\nAnswer: 2284840.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345639*d**2 - 2*d - 691256*d**2 + 345644*d**2.\nAnswer: 27*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + ((-13)\/4)\/((-3)\/84). Let i = 96 - d. Solve -i*r = -2*b + 10, -4*r - 5*b = -r - 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5)\/(i**(2\/3)\/i))\/(i**3\/i**(-1\/5)) assuming i is positive.\nAnswer: i**(-118\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, u: 3}. What is prob of picking 3 j?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 8:01 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 56 = f, -f + 21*f + 175 + 133 = 11*c for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 4*q - 46, -2*z - 5*q = 39 - 7. Is -226*((-9)\/z + -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 9:58 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**2 - 21*f - 22. Let z be n(-1). Solve z*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 7*f - 6. Let s be g(-4). Suppose 0 = -97*j + 111*j - 112. Let z(k) = -j + 53*k + 2*k**2 + 5*k**2 - k**3 - 59*k. Calculate z(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -9*b**3 - 3*b**2 + 7. Let v(c) = 8*c**3 + 4*c**2 - 7. Let o(a) = 4*q(a) + 3*v(a). What is the derivative of o(s) wrt s?\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -211\/1050 and 107\/2301096?\nAnswer: 57527400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*w - 4*w + 3*s, 5*s = -w + 3. What is the remainder when 194 is divided by w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1144772737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011001010010110000 (base 2) in base 8?\nAnswer: 1312260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 18*u**2 - 8*u + 4. What are the prime factors of r(3)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 10*q + 2. Let a be d(0). What is the first derivative of 0*m - 129 + 10*m**a + 68 + 0*m + 65 - 7*m**3 wrt m?\nAnswer: -21*m**2 + 20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.73 + -1.83. Let w = z - 8. Let p = 0.14 - 0.04. Which is the nearest to 2\/3? (a) w (b) 2\/15 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1183591 to the nearest integer?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**3*w**3 - 21263*k**3*w**2 - 3204*k**2*w**3 - 9*k**2*w**2 wrt k.\nAnswer: 6*w**3 - 127578*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 225253 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 5945.8541 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.2, 13099, -1.7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 28 + 0)\/(22\/220). What is the greatest common divisor of 928 and r?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -132 in 6\/7, 1\/3, 1\/2, -3, 3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.119 (c) -18 (d) -5 (e) -2\/9 (f) 2 (g) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/28)\/(s*s\/(s*(s*s\/s**(2\/25))\/s*s*s)*s) assuming s is positive.\nAnswer: s**(669\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02741 + -1.97259. Which is the nearest to 1? (a) 1 (b) g (c) -4 (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -10\/3 and -155401 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 15. Let q be i(0). Let g = q + -8. Suppose 32 = 5*f + 2*a, 5*f - 3*a - g = 45. Solve c = -2*b - 2, 2*c = 5*b - 3 + f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -31076591, -31076587, -31076581, -31076573, -31076563, -31076551?\n\"Answer: y**2 + y - 31076593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.03 (b) 22 (c) -43\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/127 (b) -0.2 (c) -1 (d) 5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 34 - (446 + -523)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 7 = 1 - 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*x**3 - 14112*x + 252*x**2 + 263424.\nAnswer: -3*(x - 56)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -132. Suppose -4*x = -y - n, -x - 3*y + 132 = 3*x. What is the remainder when x is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0616 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(17)*2)**2 + 6*(sqrt(17)*2 + sqrt(17)).\nAnswer: 18*sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**3 + 8*j**2 - 13*j + 5. Let n(h) = 3*h**3 - 7*h**2 + 10*h - 7. Give -5*n(m) - 4*x(m).\nAnswer: m**3 + 3*m**2 + 2*m + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from cccchchcchcchcccccc?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - -32. Let v(g) = -g**2 - 7*g + 5. Give v(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 3*g + g)*(-295 + 828 - 386).\nAnswer: -147*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3019*n + 21 = 2*o + 3024*n, -5*o = -27*n + 145 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1330 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -296, -7, 2, 1, -2, 4 in decreasing order.\nAnswer: 4, 2, 1, -2, -7, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*u**3 + 190*u**3 - 84*u**3.\nAnswer: 256*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4999337?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 167?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3*k - 6*l - 11, -5*k - 3*l = 7. Let r be 2\/((-6)\/k) + 30\/198. Let z = -0.8 + -0.7. Is z at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -14*w**2 + 4*w - 2. Let g be y(2). Let k = 51 + g. Let q(s) = -19*s**3 + s**2 - 1. Give q(k).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 3869079.\nAnswer: 5\/3869079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 8:59 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -132 - (-195 + 71) - (1 - 16) - (-1 - -42)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 12 = -4*z + 3 - 0 + 2, 0 = -9*c - z + 43 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**2\/7 - 145040996*w\/7 + 2629611315084002\/7 = 0.\nAnswer: 36260249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 2:21 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1523 + 22877*p**2 - 1523.\nAnswer: 22877*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4017\/(-1586) + (13 + (-1640)\/80)*(-2)\/6.\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -12015.169541913.\nAnswer: 12014.169541913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a**2 - 77*a - 4. Let y(m) = -m**3 - 21*m**2 + 232*m + 11. Let d(v) = -11*g(v) - 4*y(v). What is the second derivative of d(q) wrt q?\nAnswer: 24*q + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -121, -113, -101, -85, -65?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 4*v, 5*v = 3*a + 3. Let p(u) = 3*u**2 + 1. Let m be p(a). Is (-13)\/m*(3 + -7) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4415 a factor of 1408616467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-9)*-99*(-12)\/48*-2*2\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4184*x + 16 = 4192*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.88 + -24.7. Let u = 0.18 - p. Let x = -9.1 + u. Put x, -0.4, 6 in descending order.\nAnswer: 6, x, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - 9 - (-91 - (19 + -69))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(-2*sqrt(7)) + sqrt(60)\/sqrt(3)*3)**2*4 - (((sqrt(20) - 3*sqrt(320)) + -3)**2 + 0).\nAnswer: -1929 - 132*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22527459511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1496*i**3 - i**2 + i + 1. Let d be c(-1). Suppose 5*g = -2*w + d, 3*g + 1504 = 2*w - g. What is w rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 2, 18, -2, 1908, 1.\nAnswer: -4, -2, -1, 1, 2, 18, 1908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 10:35 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**2. Let i(a) = 99*a - 38. Let l(r) = 98*r - 32. Let c(b) = 5*i(b) - 6*l(b). Calculate c(t(z)).\nAnswer: 372*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, w: 5, s: 8}. What is prob of picking 2 s and 1 n?\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*2\/(-16)*-1. Let h = -0.2 - 0. Let b be -2*1\/(-7) + 0. What is the second biggest value in b, h, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 526.3225 millilitres to litres.\nAnswer: 0.5263225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 5:36 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxbxxbxxxxxxxoxoxox. What is prob of picking 1 x, 1 o, and 2 b?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a day in hours?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 73331593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -16551 divided by 9?\nAnswer: -1839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 25*z**2 + 77*z. Let n(j) = -3*j**2. What is x(n(o))?\nAnswer: 225*o**4 - 231*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -981341 divided by -3.\nAnswer: 981341\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4\/5 - 2738*p**3 - p**2\/5 + 2738*p = 0. Calculate p.\nAnswer: -1, 0, 1, 13690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 2.77?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 7*f + 6. Let o be m(-6). Let y be 46 + (2 - (2 - 3)). What is the second derivative of 20*w**5 - o*w + 26*w**5 - y*w**5 wrt w?\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10152 - 1?\nAnswer: 10151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 4*l + 4*l)*(4 - 1 + 3) + l + 0*l - 3*l + (-4 + 2 + 1)*(0*l - 3*l + 2*l).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18326 is divided by 232.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -471186, -470724, -469970, -468936, -467634, -466076, -464274, -462240?\nAnswer: -459986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*x - 10, -3*y + x + 4*x = -18. Let b(u) = 5*u + 5. Let i be b(-2). Let n be (i - -12)\/(2 + 4). Does n = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(6\/11))\/b)\/(b*b**(2\/13)\/b))\/(b**(-3\/11)\/b**(2\/9)))**(-3\/7) assuming b is positive.\nAnswer: b**(-163\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 7*n - 5. Let y be (-9 - -8)\/(2\/12). What is b(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7343904 is divided by 7343883.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/5))**(-4\/15)\/((h*h**(-13\/3))\/(h*h*h**(-9))))**(-37) assuming h is positive.\nAnswer: h**(10027\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2719829 is divided by 543916?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*o + 19*o + 2. Let t(p) = 105*p**2 + 8*p + 10. Let h be t(o). Suppose h + 781 = 5*f. What are the prime factors of f?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -635231322 by -40634.\nAnswer: 15633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1404)\/64935*60\/(-32))\/(9\/(12\/(-4))).\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -618 - 636 + 1256. Let j(f) = f**3 + 9. Suppose -3*m = -8 - 4. What is m*j(n) - 18*t(n)?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h - 18. Let d(g) = 37*g + 117. Let p(k) = -39*c(k) - 6*d(k). Let z(o) = 181*o**2. What is p(z(x))?\nAnswer: 2172*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 35352 = 35351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 9) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z**5 - 3*z**4 + 15*z**3 + 5*z**2 + 3*z - 3. Let l(b) = b**4 - b**3 + b**2 - b + 1. Let p(w) = -i(w) - 3*l(w). Find h such that p(h) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 164*l**2 + 6004*l + 69. Give y(-55).\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r + r + 2*r - 2*r + 0*r + 3*r + (r - 2*r + 2*r)*(-3 + 2 + 0) + 3*r - 3*r - 2*r + (1 - 3 + 3)*(-5*r + 0*r + 3*r) to the form b + i*r and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -5 + 0 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -213.8583 to zero decimal places.\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.029371 to four dps.\nAnswer: 0.0294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + 42 + 2 + -2 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5758 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 hundred thousands digit of 181912655?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-6*(2*sqrt(19) - sqrt(19)) + -6*(sqrt(19) + 5)))**2.\nAnswer: 720*sqrt(19) + 3636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 12*b**2 + 4*b + 8. Let p be u(5). Let q be -3 - p\/51 - (-17435)\/85. Suppose -2*i + 13 = -q. List the prime factors of i.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 2*x + 9, 23 = 10*x - 14*x + 3*l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 7*l + 120 = 0. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21217\/91 - 4\/26. Let c = g - 57. Let j be 1 + -4 + c\/48. Sort 2\/5, 0, j in ascending order.\nAnswer: 0, 2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1481136341 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.25 and 719347.\nAnswer: 179836.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11489097.\nAnswer: 3, 193, 19843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1345 divide 201350535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 12 = -4*k + 88, -3*c - 4*k - 84 = 0. Let x = -34 - c. What is the closest to -1 in -3\/2, -3, x?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(272\/(-2091))*4\/(-10)*50\/(-20).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n**3 + 16*n**3 + 3*n**3 + (-2*n**2 + 0*n**2 + 0*n**2)*(-2 + 2 + n) + 5*n**2 + n**3 - 5*n**2 in the form j*n**2 + z*n**3 + g*n + h and give z.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/19 (b) -26\/15 (c) -5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 59*d**2 + 24*d - 4. Let l(r) = r**2 - 4*r + 1. What is 5*l(q) + y(q)?\nAnswer: 64*q**2 + 4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-14)*39\/30*5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, h: 1, q: 3, o: 2, k: 5, w: 6}. What is prob of sequence uq?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 2. Suppose i*k + 12 = l, -l - 3 = -2*k + 3*k. Suppose 5 = l*m - 7. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.04742 centuries in decades?\nAnswer: 450.4742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 117 and 195.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229276679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 3*n + 0*n)*(193 - 118 + 504)*(3*n - 5*n + 4*n).\nAnswer: -5790*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -47. Solve 4*j + 3 = -0*j + k*y, -5 = -y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 59 = 4. Suppose 4*z + 3 = -5*p, -7 = -4*z + 2*p + k. Let x be z\/1 + -3 + 2. Solve 9 = j - 2*a, 5*j - a - 17 = x*a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 53?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 483 and 38650557.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 9:56 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(396) + 1 + -6*(sqrt(1584)*1 + sqrt(1584) - (sqrt(11) + (-1*sqrt(88))\/sqrt(8) + sqrt(11))).\nAnswer: -132*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -963*s - 69328. Let x be r(-72). Let m be 466\/60 - (-2)\/5. Do x and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/366 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2125 (base 7) in base 12?\nAnswer: -52a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*j. Suppose -4 = -m - j. Solve -m*w - 10 - 6 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 + 26*s**2 - 107.\nAnswer: 26*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 + 2*r. Let c be v(4). Let j = c + -32. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -202 - (-113 + -25 + 65)\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 - 8318315*u.\nAnswer: -5*u*(u + 1663663)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1463\/76*(0 + 1 + 3). Let u = f - 20. Let w = u - -16. List the prime factors of w.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -17*j**3 + 2. Let i(b) = 120*b**3 - 15. Let p = -2303 - -2309. Give p*i(c) + 45*l(c).\nAnswer: -45*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 + 26*v + 8. Let b(l) = l**2 - l - 2. Calculate -3*b(o) - z(o).\nAnswer: -o**2 - 23*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 690 and 40296?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 30. Let u be 4\/(-5) - (1728\/40)\/x. Solve 4*v - 6*v - u = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40170 and 1794.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -56127\nAnswer: -5\/56127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -204875253*q**4 - 2*q**2 + 241692297 wrt q?\nAnswer: -4917006072*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 bigger than 65\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 1\/78, 1, 96\/13, -5, -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (52\/2)\/(210\/156). Let c = 2\/105 + m. Let i = 565\/6 - 253\/3. Find the common denominator of i and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 - -102. Let j = m - 14. Let r = j - 11. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -5*t + w, -46*t + 49*t - 5*w + 2 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1415, -1421, -1425, -1427, -1427?\n\"Answer: q**2 - 9*q - 1407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**4\/12 + 7*p**3\/6 + 3*p**2\/2 + 6*p. Let v be x(-8). What is the least common multiple of 2 and (42\/14)\/(3\/v)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h. Let q(y) = 3*y - 5875. What is q(o(x))?\nAnswer: -12*x - 5875","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124860?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1*6\/(-30)*-1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 - 34. Is 6\/15 + 2412\/s 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 -78, -74, -68, -60, -50, -38, -24?\n\"Answer: v**2 + v - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 582+599555475\nAnswer: 599556057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -61498 - 3?\nAnswer: -61501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 10, b: 2, i: 3}. Give prob of sequence bbi.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-4) - 12\/(-24). Does 4 divide 10 + b + 5 + -8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a decade?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 - (-1 + 2 - -2). Let z be 8\/6*k\/(-2). Solve 3*v = z + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (6 - 8) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*o + 13*o + 826 = 484*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1411, 2826, 4243, 5662, 7083?\n\"Answer: f**2 + 1412*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 + 2*d - 2*d + (-15*d + 413 - 413)*(-d**4 - 4*d**4 + 2*d**4).\nAnswer: 43*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1404 = 186*j - 30*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5 + 6*p**3 + 4*p**2 = 0. Calculate p.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -138*o**3 - 2*o**2 - 8*o + 12. Is b(-3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00087966 to 5 decimal places.\nAnswer: 0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*l - 132*l = 0. Factor l*y**2 - 8\/7*y**3 - 48\/7*y**4 - 10*y**5 + 0*y + 0.\nAnswer: -2*y**3*(5*y + 2)*(7*y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -358698 take away -1717863?\nAnswer: 1359165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 + 24*i**3 - 771*i**2 - 8136*i - 7344.\nAnswer: 3*(i - 17)*(i + 1)*(i + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1da - -4?\nAnswer: -1d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0618609 rounded to four decimal places?\nAnswer: -0.0619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -4\/9, 0.0436, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 100852\/9 - 11206. Put g, -0.1, 0.9, 10 in descending order.\nAnswer: 10, 0.9, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 33*z**3 - z**2 + z. Let w be i(1). Suppose -k = k + d + 15, d = 4*k + w. What is the lowest common multiple of 6 and (-6)\/k - 91\/(-28)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 199 + -127. Let m = 142 - b. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -100750 to the nearest one thousand.\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-1))\/((-122)\/(-122))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 311849325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 89587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -3. Let j = 0.7 - -0.3. Let r = -0.2268 - -0.0268. Which is the biggest value? (a) m (b) r (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 3*s**2 + s + 4. Let q be (1 - (-2 - -3)) + -3. What is the units digit of x(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*u - 3*a + 15, 4*a = u - 1. Let g = -1253 - -1327. Suppose -u*o + g = -1. What is the remainder when 71 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2123*k**2 + 11995 - 11995 + (k + 0*k + 0*k)*(-3*k + k + 4*k) + k**2 + 2*k**2 - k**2 to g + o*k + j*k**2 and give j.\nAnswer: 2127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 49815806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 354768 = 2*g. Is 6\/45 + 1 + g\/(-30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2 + n - 3*n + 4. Let k = -15 + 20. Calculate d(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*p**2*u**2 + 166*p**2*u - 4*u**2 wrt u.\nAnswer: -46*p**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(152)*-1 - sqrt(152)))\/sqrt(8) - (-3 + -2*sqrt(171) + sqrt(171)))**2.\nAnswer: 78*sqrt(19) + 3220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14\/3 - -4. What is the nearest to x in 2, -1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, k: 1, t: 2, y: 2, n: 1}. Give prob of sequence kn.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13146910.\nAnswer: 2, 5, 7, 293, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**5\/20 + 17*g**4\/24 - g**3\/3 + 5*g**2\/2 - 3. Let k(x) be the second derivative of n(x). Is k(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 8*n - 145. Let r be g(23). Suppose -2*x = -2*u - 22, -x - 4*x = -u - r. Solve 0 = -x*q + 6*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 + b + 8. Let x(n) = -n**2 - 1. What is r(z) + 5*x(z)?\nAnswer: -2*z**2 + z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1997\/10761 - -43\/633. Let a = -23 + 11. What is the second biggest value in 2\/5, a, p, -2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.064 in -1\/7, 442, -2\/143, -0.5, 2, -3\/7?\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -17 (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 10*q + 168. Let f be i(9). What is the third smallest value in -4, f, 0.05, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -115023471780.\nAnswer: 115023471780.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 241786279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 783 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8407*j - 17135*j + 8728*j - 4*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7780, 7276, 6770, 6262?\nAnswer: 5752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -180\/5203 in 1\/6, 9, 12?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*w + 4*g + 51, -301 = -5*w - 3*g. Suppose 0*z - 4*z + 88 = -4*t, -w = -2*z - 3*t. Suppose z*b - 30*b + 69500 = 0. Round b to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5597 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75 (base 11) to base 7.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(6\/(-2) + 2). Solve c = 3*m - 2*t + t - 14, 0 = 5*m + 2*t - 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/9)\/g)**(-3)*(g**(-2\/5))**(3\/5)*((g\/((g*(g*(g**3\/g)\/g)\/g)\/g))**(-15\/2))**(-16\/3) assuming g is positive.\nAnswer: g**(257\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110)\/66*(-420)\/(-25)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**3 + 14488315*i**2 - 28976595*i - 43464915 = 0. What is i?\nAnswer: -1, 3, 2897661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 12 = 2*i + 4, 4 = 2*i. Let u(g) = -55*g + 1. Let p be u(k). Suppose 0 = -4*j + 7*w - 3*w + p, 5*j - 52 = -w. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00481 rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12172*f**3 - 4218*f**3 - 5887*f**3 + f**2 + f**3 + 0*f + 0*f + (-2 + 5 - 5)*(-f**3 - 4*f**2 + 4*f**2).\nAnswer: 2070*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 313331232 (base 4) in base 6?\nAnswer: 4525130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/15 (b) 3 (c) 1417 (d) -3 (e) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*o + 182*o - 635 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -5*h - 155, 50*h = -3*g + 97*h - 45*h + 67 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 5*x + 1, -2*s + 2*x = -7 - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*g = 74, 2*i + 0*g + g = 27. Let c(n) = -6*n - 12. Let f be c(i). Round f to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12755900 rounded to the nearest ten thousand?\nAnswer: 12760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**5\/3 - 248*u**4\/3 + 13672*u**3\/3 + 43466*u**2\/3 - 4557*u - 14406 = 0.\nAnswer: -294, -3, -1, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 4*f**2 - f + 3. Let o be y(4). What is the remainder when 9 is divided by 3 - ((-2)\/o + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -786 + 810. Let v be 1\/4 - 190\/(-8). What is the highest common divisor of v and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/40*-32*(-2)\/48?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1400199808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3663, 7351, 11039?\nAnswer: 14727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*q + 0 - 14 + 42*q)*(2 + 0 - 3).\nAnswer: -33*q + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11110801 is divided by 763.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -3.7.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2198314, 2198315, 2198316, 2198317?\n\"Answer: m + 2198313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3403 + 3413.548. Round t to one dp.\nAnswer: 10.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 + 0*r**3 - 4*r**3 + (7*r - 11 + 11)*(-3*r**2 + 3*r**2 + 2*r**2) - 4 - r**3 + 4.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -551*l**8\/336 + l**4\/12 + 48*l**3 + 714*l**2. Find the second derivative of w(z) wrt z.\nAnswer: -11020*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 2:57 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54*s**2 - 33*s**2 + 59*s**2 + (-2 + 2*s + 2)*(2*s + 0*s + 0*s).\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-36)*-9*(-8)\/(-6). Calculate the least common multiple of 30 and -4 - -18*h\/(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 237493?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0835 + 1.9165. Which is the closest to 0.7? (a) h (b) -2\/9 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.6 - 3. Let t = -0.2 + 0.7. What is the third biggest value in t, 0.1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/2*129\/(-258).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/11410?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**4\/12 - 7*t**3\/6 + 3*t**2 + 13*t. Determine d(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1044038 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 8*d + 16 = 0. Calculate the common denominator of (-5)\/d*(-37)\/(-5) and 0 - 4*(-209)\/352.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l**2 + 4*l + 3. Let t(x) = 4*x**2 - 2*x - 1. Suppose -21 = 5*a - 2*b, 4*b = -2*a - a + 3. Let c(y) = a*h(y) - 5*t(y). What is c(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 + 260890*w + 521760.\nAnswer: 5*(w + 2)*(w + 52176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -85.332 * -5\nAnswer: 426.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -1 (b) -2\/5 (c) 0.6 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 5 = 9*l. What are the prime factors of (-370)\/(-8) + (-1)\/l?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -19491*i**2 - 1157*i + 1157. Let l(n) = 101*n**2 + 6*n - 6. Determine -6*g(s) - 1157*l(s).\nAnswer: 89*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + i. Suppose 5*g - 5 = 5. Suppose -3*y = -g*w + 11, 0 = -w + 6*w + 2*y + 1. Let t = w + 1. Determine l(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 10. Let s = f + 2. Calculate the remainder when 13 + 66 + 2\/s is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18698?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - k - 8. Let x be g(6). Let s = 770 - 751. Let w = s - x. Let i(l) = -l**2 - 2*l + 4. What is i(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 140 - 139.5. Which is the nearest to -0.1? (a) -2\/87 (b) 6 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 4*q + 4. Suppose 20 = 5*u - 0*u. Let x be m(u). Suppose o - 4*o = x*n + 3, -3*n = 9. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -461.80868 - -278.80899. Let j = -183 - q. What is j rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -12*i**3 - 16*i**2 + 3*i - 3. Let q(o) = -13*o**3 - 15*o**2 + 2*o - 2. Let u(d) = 4*p(d) - 6*q(d). Find the third derivative of u(x) wrt x.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 121887343 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -13659 divided by 4\nAnswer: -13659\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 2*r = -0 + 32 - 17, 3*h - r = 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 13*m - 4*v - 548 = 0, 5*v = -10. Is m greater than 104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**3 + j**2 + 2*j + 52. Let v(p) = 15*p**2 + 11*p + 10. Calculate 11*m(r) - 2*v(r).\nAnswer: 3*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10 - (-78)\/5. Suppose 0 = v*x - 13*x - 699. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0) + (-3 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 4:20 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 3 + 3)*(-25*n**3 + 68*n - 2*n**3 - 63*n).\nAnswer: 81*n**4 - 15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197950407?\nAnswer: 3, 31, 37, 57527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 9734*i - 9733. Calculate v(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7.181858kg?\nAnswer: 0.007181858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - v = -0*v + 5, -20 = -3*g + 4*v. Suppose -5*c + 10 + 20 = g. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -253*f**3 + 2*f**2 - 16*f - 37. Is q(-4) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 251\/13 or 231\/61?\nAnswer: 231\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-11))\/k**(-8))**(-50)*((k**(4\/9)*k)\/k**(-2\/11))\/((k\/k**5)\/(k\/k**(-6))) assuming k is positive.\nAnswer: k**(-97750\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/((12\/4)\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2. Let h(r) = 2*r**2 + 1. Let f(c) = c**2 + 1. Suppose -4*b = -3*s + 6*s - 14, -5*s = 4*b - 18. Let z(i) = b*f(i) - 2*h(i). Calculate z(u(p)).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4)\/((-5)\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -158457 + 166659.7. What is d rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 4:20 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*y + 53*y + 180 = 0 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369632?\nAnswer: 2, 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by ((-2)\/6)\/(1\/(-27))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 44\/(-1) + (-6 - -10). Let u = 10 - y. Let b = -40 + u. Calculate the highest common factor of 50 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.7677 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 235 = -i. What are the prime factors of i?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**4)\/(l**(6\/7)*l))\/(l**(-8)\/(l**(-5)*l)))**(-50) assuming l is positive.\nAnswer: l**(-2500\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 3, w: 5, z: 2, g: 1}. What is prob of sequence dg?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from dhshh.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 120*b**3*u + 2*b**3 - 45*u**2 + 15036 with respect to u.\nAnswer: 120*b**3 - 90*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2641 - 2936.2. Let c = g + 296. What is the nearest to 3 in 2\/3, 3\/4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (964\/1687)\/((-8)\/(-14))*-78?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9, -122, -377, -768, -1307, -2006, -2877, -3932?\n\"Answer: -2*q**3 - 50*q**2 + 33*q + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcxwmcccx. Give prob of sequence mm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/10 + 2\/5. Let b = -66 - -69. Suppose -3*q - 4*u = -b*u - 11, -2*q = -2*u - 10. What is the nearest to -0.1 in q, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a. Let s(w) = -2867*w**2. Give q(s(o)).\nAnswer: -5734*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = k + 17 - 8 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z - 7. Let k be q(6). Let r = k - 5. Factor -2\/3*p**5 + 8\/3*p**2 - 4*p**3 + 8\/3*p**4 - 2\/3*p + r.\nAnswer: -2*p*(p - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1074 and 1236?\nAnswer: 221244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*z = 17 + 663 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 8*d - 2. Let u be m(1). Suppose -91 - 179 = u*a. Let r = 114 + a. What is the remainder when r is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -153*l**2 - 158*l**2 - 174*l**2 + 510*l**2. Let i(u) be the third derivative of 0 + 0*u + 0*u**3 - 4*u**2 - 1\/12*u**4. Determine i(m(b)).\nAnswer: -50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 0, -3, -7 in increasing order.\nAnswer: -20, -7, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(28)*1*3)**2.\nAnswer: 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**3\/5 + 11361*b**2\/5 - 216762*b\/5 + 137016 = 0. What is b?\nAnswer: -3806, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230003 - -3131?\nAnswer: -220212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14*2\/10*(-2490)\/36603\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 178293.5863 to the nearest 100.\nAnswer: 178300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1597 = -5*z + 1617, 3*j - 30 = 3*z for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, i: 1, h: 8, b: 2, o: 2, l: 1}. Give prob of sequence lbi.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 5*t + 2*t)*(-4*t - t + 6*t)*(-20*t - 39 + 39).\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/2)\/(9\/18)*(-1748)\/(-380)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**2 + 0*b**4 + 0*b**4 - b**2 - b**4 - 1 in the form d + p*b**3 + l*b + y*b**4 + a*b**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/14)\/((-36)\/315*5)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.76 + 8. Which is bigger: 0.1 or b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -243*t**2. Let u(z) = 106*z. What is n(u(j))?\nAnswer: -2730348*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 - 43 - 110 - 18)*(-14*n + 6*n**5 - 9*n - 4*n**5).\nAnswer: -412*n**5 + 4738*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -243304009*h*x**4 - 37208*h*x + 115*h - 2*x - 3 wrt x?\nAnswer: -2919648108*h*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 2. What is the highest common factor of f and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.3 (c) 1\/44 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37853138?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104429172.\nAnswer: 2, 3, 8702431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2157*m - 5. Let s(b) = -66846*b + 156. Determine 156*k(j) + 5*s(j).\nAnswer: 2262*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 8. Let y = -7 - s. Let q = -9 - y. What is the nearest to 0.1 in q, -4, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2640 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**5\/180 + j**4\/24 - j**3\/9 - 8*j**2 - 17. Let z(d) be the second derivative of y(d). Let z(n) = 0. What is n?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62 by -889.\nAnswer: -62\/889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 192*c - 387*c + 374*c**4 + 195*c + 76 with respect to c.\nAnswer: 1496*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 2:13 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 - -0.31. Let l = w + -0.04. Let v = 0.06 + 0.14. Which is the nearest to v? (a) -1 (b) 1\/2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -11*w**2 + 15*w - 5. Let z(m) = -20*m**2 + 28*m - 10. Give 11*n(s) - 6*z(s).\nAnswer: -s**2 - 3*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d + 216 = 786. Calculate the remainder when d is divided by 228\/14 + 12\/(-42).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n + 6*n**3 + 4*n + 6*n**2 + 0*n**3 - 3 - 7*n**3. Let g be z(5). Suppose -w + 2813 = 5*x + 2*w, -3*w = g. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -376 smaller than -378?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 3320 = -46*g. Let t = g - -392. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**6\/12 + 9*l**5\/5 + 119*l**4\/8 + 59*l**3 + 117*l**2 + 108*l + 312. Let y(v) = 0. Calculate v.\nAnswer: -6, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(1*(-3)\/(-33)). Suppose f = 6*q - 2*q. Solve q = -3*x - 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 873 and 54765?\nAnswer: 5312205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97455521?\nAnswer: 37, 1609, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five quarters of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i - 7*i - 11*i)*(3 - 3 - 5)*(4 - 4 + 3) in the form g + n*i and give n.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -1.11 (b) -2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 84129342139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-5) + (-288)\/(-5) + 6. What is the third derivative of 211*d**5 + 67*d**2 - r*d**5 - 103*d**5 - d**3 wrt d?\nAnswer: 2640*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 89647.16 nanometers?\nAnswer: 89.64716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5504435997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w + 43 - 95 + 52.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*g**3*v**2 - 29*g**3 - 22*g**2 - 2072414*g*v**2 + 371*g wrt v?\nAnswer: -10*g**3*v - 4144828*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48289250*g**2 - 106274420.\nAnswer: -96578500*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 5*z + 55, 6*f + z = 10*f - 44. Solve 5*k - f = 2*n, 0 = k - 2*n + n - 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -21101120?\nAnswer: 21101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -65*c**3 - 45*c**2 + 45*c - 45. Let o(x) = -3*x**3 - 2*x**2 + 2*x - 2. Give -45*o(b) + 2*p(b).\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {s: 11, f: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53.4 in -4, 4, 5, 3, 0.06?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 126.6 + -112. Let n = 15.19 - v. Round n to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 25556910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 503 + -197. What are the prime factors of u?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -90*j**5\/7 - 27336*j**4\/7 + 62390*j**3\/7 - 10436*j**2\/7 - 9784*j\/7 + 2448\/7 = 0?\nAnswer: -306, -2\/5, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61129997\/26845350 + 2\/76701. Let p = h - -3\/350. Solve -232\/7*i - 1324\/7*i**2 - p - 392*i**5 - 728*i**4 - 530*i**3 = 0.\nAnswer: -1\/2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32878 or -1.4?\nAnswer: 32878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 3*q - 71, 413*q + 92 = 5*s + 819*q - 410*q for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 170902210*n**4 + 3*n**2 - 190460*n - 209.\nAnswer: 4101653040*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*16\/(-30).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*p**2 + 1688*p**3 + 2*p - 1611*p**3 + 4*p**2 + 4*p**2 - 4*p wrt p.\nAnswer: 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4 + 0 = 0. Let f = 4 - 16. What is the remainder when 35 is divided by (f\/(-9))\/(m\/(-54))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - 12*s. Let x(t) = 2*t - 205. What is m(x(z))?\nAnswer: 8*z**2 - 1664*z + 86510","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.2, 5, -11 in decreasing order.\nAnswer: 5, 2, 0.2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 3*r - 56, -4*r + 5*h = 97 - 58 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -267*b**2 - 22*b + 65*b - 34*b + 81*b**2 - 18*b. Let l(o) = -o. Calculate u(l(x)).\nAnswer: -186*x**2 + 9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*p = 6. Let q = 12 + p. Let r = q + -2. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 713 - 707. Let n(z) be the first derivative of z**2\/2 - 8*z - 2. Give n(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - -18. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/7 + 406831*x\/7 - 813658\/7.\nAnswer: -(x - 406829)*(x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3709015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 1\/7 (c) 2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/3 + 3517*v**2\/3 - 38584*v\/3 + 21036.\nAnswer: -(v - 3506)*(v - 9)*(v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*c + 1532821 - 88345. What is the remainder when c is divided by 114?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 304 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247598 is divided by 1890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (8 - -2901) + (-4)\/(-8)*-8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23720*c*d - 163*c + 15*d**2*z + 2*d*z + 7189*z wrt d.\nAnswer: -23720*c + 30*d*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 699885, 1399806, 2099727, 2799648, 3499569?\nAnswer: 4199490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by 60?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/4)\/(18\/(-16)). Suppose -4*l = -12, 2*r + 30*l = 35*l - 13. What is the closest to u in 4, 1\/2, r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 12060 = -13*b + 15*a, 0 = 4*b + 2*a - 47892. Is b a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2)*-2*-3. Let i(f) = f**3 + 8*f**2 + 3*f + 4. Is 25 a factor of i(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*r + 9. What is the remainder when (-4)\/6 - (-295)\/15 is divided by (95\/(-38))\/(2\/r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -4 - -2)\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10786\/222789 or 1?\nAnswer: 10786\/222789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 48 + 8. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28602.92 to the nearest 100.\nAnswer: 28600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*m - 2*m - m + 2*m + (0 - 3 + 2)*(-3*m + m + m) - 4*m + 0*m + 2*m)*(-4*m + 5*m - 7*m)*(-3 + 4 + 0) + 20*m**2 - m**2 + 5*m**2.\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 104 - 478?\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4641270 divided by -928254?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -700.27 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 4. What is the third derivative of 3*x + x**2 - 5*x**2 - 3*x - r*x**5 wrt x?\nAnswer: -240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23424097 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8755 - 8754.7. Suppose -5*v + 11 = -6*v. Which is the third smallest value? (a) w (b) 0.5 (c) v (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/2364 and -13\/1371120.\nAnswer: 1371120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -15*(6\/10)\/(-3). Suppose -s*z = -4*z - 127. Let j = 187 + z. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 + -17. Let f(i) be the second derivative of 7*i**4\/4 - i**3 + 3*i**2 - 24*i. Calculate the remainder when h is divided by f(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 10*w - 21. Let s be m(-12). Suppose -8*z - 4*o = -4*z - 128, s*o = 12. Calculate the greatest common factor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.7 + -3.7. Let q be -1 + (-9)\/(-3) + (-24)\/11. Which is the closest to -29? (a) q (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/15)\/((-278)\/24325)*(1 - 4\/12).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 + (1 + -2 - -2) is divided by (4 - (-8 - -4))*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**2 - 4*w**2 + w**2)*(3*w + 2*w - 8*w).\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 8*p + 4. Let s be k(-7). Let u be 1 + (-75)\/(s - 0). Solve -4*o + 19 = -3*m - 6*o, 0 = 2*m + 4*o + u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwuwuuwu. What is prob of picking 3 w?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2208 + -2144 - (23 + -2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 771*l**5\/4 + 59*l**4\/6 + l**3\/6 + l + 29. Find the third derivative of d(p) wrt p.\nAnswer: 23130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15548 and 200876.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**2 - 3*a + 3. Let g(h) = 7*h**2 + 5*h - 5. Let v(j) = -3*g(j) - 5*p(j). Let t(i) = 4*i**2. Calculate v(t(n)).\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) 58 (c) -5 (d) 5\/1104 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 2. Let f be m(4). Let b(r) be the first derivative of 2 + 5*r**f - r**2 - 3*r**2 - 1. Let x(w) = w. Determine x(b(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.42 + 196580935.61\nAnswer: 196580935.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of ((-198)\/10)\/((-15)\/350)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/17, -88941, -0.4 in decreasing order.\nAnswer: 1\/17, -0.4, -88941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0040036169 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 201 - -263. Let h = -756 + a. Calculate the common denominator of 109\/10 and (-30)\/(-14)*(h\/(-40) + -4).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/sqrt(54) + sqrt(95)\/(sqrt(5) + 3*sqrt(5)).\nAnswer: 7*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 207*i - 3473. Determine o(21).\nAnswer: 874","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/i**(1\/2))\/i*i)**(4\/31)*i**(6\/11)*i*i**(-5) assuming i is positive.\nAnswer: i**(-1112\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 21 = 16*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/30)\/(((-3682)\/(-4734))\/(59\/3))?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m**4 - m)*(-4*m + 7*m - 18*m) - 4*m**5 + 4*m**5 + m**5.\nAnswer: 16*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = 2*v - 4*v. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, z: 3, l: 4}. Give prob of picking 2 m.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1053)\/2*2490\/26145 - (-8)\/7.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 2. Suppose 0 = 3*y - u*x - 103, -x - x + 151 = 5*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.371 + -5.39518. Round a to 3 decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -26636.\nAnswer: 1\/6659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -3 (c) -614\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74766 and 816.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 394 from 0.4571.\nAnswer: -393.5429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 24 = -t, 24*t = 15*h + 23*t - 120. Let r(g) = -g**3 + 7*g**2 + 8*g - 3. Give r(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 482.1667 nanograms?\nAnswer: 0.0000000000004821667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 9*j - 5579. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 6233078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 o when four letters picked without replacement from ovvovvvo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 851046 to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-14)\/s*s*s\/s**(-7\/4))\/(s**(-1\/7)\/s**(-15)))**(1\/51) assuming s is positive.\nAnswer: s**(-703\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*f + 4466 = 739*f - 362*f for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*h - 61*h + 4*k + 50 = 0, 15 = -3*k. Which is the closest to -1? (a) 0.6 (b) 4 (c) 0 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.21, 315.9, 4, 0.109 in descending order.\nAnswer: 315.9, 4, 0.21, 0.109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5337437 is divided by 9155.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (7 - 138\/2*(-152)\/12) + -5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58598124193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*v**3 + 20*v**3 - 21*v**3.\nAnswer: 25*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/14*-5*(-24)\/15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*z + 3*r, -3*r - 3 = 5*z - 8. Which is greater: -42 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619463 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11563749?\nAnswer: 3, 359, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*o + 16 = 0, -5*o + 16 = -o. Suppose 89 = 5*w + 2*f - 3*f, r = -5*f - 20. Is w greater than or equal to 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29990, -1, 4, 51, -5 in decreasing order.\nAnswer: 51, 4, -1, -5, -29990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 (base 7) in base 4?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95735848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -431568 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0073966758 to 4 decimal places.\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(66) - 2*sqrt(66))*2 + 4*sqrt(66)*1 + sqrt(66))*1)\/(sqrt(66)\/(sqrt(55)\/sqrt(5)) - 6*5*sqrt(6)))**2.\nAnswer: 99\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 172799665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -55, -278, -649, -1168?\n\"Answer: -74*h**2 - h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -3\/5, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-50) - 7\/(-30)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1581 - 65*d**3 - 1581)*(-2*d - d + 4*d) to the form j*d + k*d**4 + f + b*d**3 + h*d**2 and give k.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2, 0.4, 3, 1248?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -51, -52, -55, -60, -67, -76?\n\"Answer: -o**2 + 2*o - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 8*w**2 - 12. Let y be n(-6). Suppose -4*f - y = -2*u - 14, 0 = -5*f + 10. Calculate the greatest common factor of 189 and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 26958535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -720*o - 576*o + 5934 = -1434*o for o.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.27 in 0.4, -5, 5\/28, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 2*f**2 - 4. Let g be m(3). Suppose 0 = -g*c + 39 + 16. Let b = c - 4. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1575 divided by 3\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 507.4 + -508.7038. Let g = u + 1.33. Round g to three decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1508587 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3873*d - 42589. Let q be k(-11). Suppose 0 = -s + 6*s - 385. Calculate the greatest common factor of q and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -378 divided by -18\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 + 18*c. Let s(u) = 6*u**2 - 55*u. Give 17*p(t) + 6*s(t).\nAnswer: 2*t**2 - 24*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1257551\/5 or 251510?\nAnswer: 1257551\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83\/3 - -28. Let n = -2 + 2.6. Let h = n - 0. What is the second smallest value in -1, i, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10341 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002960927 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 219, 994, 4, 2 in increasing order.\nAnswer: -3, 1, 2, 4, 219, 994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 - 68.939. Let a = -21.978 + 22. Let g = o - a. What is g rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1101 is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 35332, 35263, 35194?\n\"Answer: -69*y + 35401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 2:17 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 3*h + 2*h)*(2*h + 0 + 0) - h**2 + h**2 + 3*h**2 + (-64*h**2 - 14*h**2 - 16*h**2)*(-1 - 2 + 4).\nAnswer: -89*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54.7 + 146.3. Let w = 202 - m. Which is the fourth biggest value? (a) 5 (b) 0.3 (c) -16 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/3)\/(8 - 92\/12). Is -4 + f + 0 + 3645 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*g + 16 = -33*g. Is 60 a factor of ((-1)\/(-2)*-58)\/(g\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**3 + 15*i**3 + 116*i**3.\nAnswer: 124*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 282 + -118. Let y = c - 70. Let a = y - 53. What are the prime factors of a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6. Let b(k) = -k - 3. Let z(h) = 2*b(h) + d(h). Let j(a) = 7*a + 6. Let w(u) = -20*u - 17. Let q(i) = -17*j(i) - 6*w(i). Determine z(q(l)).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2344 - 2340. Let f(p) be the second derivative of 0*p**u - 12*p + 0*p**5 - 6*p**2 + 19\/30*p**6 + 0 + 0*p**3. What is the first derivative of f(l) wrt l?\nAnswer: 76*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30955 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.03 times 12.37?\nAnswer: -12.7411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z = -8. Suppose 3*v = z*v - 6. What is the tens digit of v\/(-15) - 52\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 585368 to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*t**3 - 1873*t**2 + 6557*t + 62081190?\nAnswer: 6*t**2 - 3746*t + 6557","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3 + (-1 + sqrt(2057))**2 - (sqrt(68)*-1 + 1 + sqrt(51)\/sqrt(3))).\nAnswer: -21*sqrt(17) + 2063","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -367 - -609. Let n(f) = 8*f + 2. Let t be n(5). Suppose -u - 5*l + t = 0, -u - l = u - 48. What is the highest common factor of u and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 0*r - 2*r + 3*r - 232*r**2. Let n(x) = -3*x. What is n(s(l))?\nAnswer: 696*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82608744.\nAnswer: 2, 3, 3442031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.2208411 minutes?\nAnswer: 13250466000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35163 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 0.1 (c) -1 (d) 1\/3 (e) 0 (f) 26 (g) -3607\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/70 - 32\/(-3906). Let p = 1993\/558 - z. Calculate the common denominator of 179\/(-26) + (-6)\/(-2) and p.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.17 - -0.24. Let u = -0.11 + t. Let f = -2359\/2 - -1178. What is the nearest to f in 0.4, -3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -689, 4, 0 in descending order.\nAnswer: 4, 0, -3, -689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -51*(-1)\/(-5 - -6). What is the greatest common factor of 561 and x?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -242280612+-1121\nAnswer: -242281733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 30.9 from 0.6.\nAnswer: -30.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4131*z + 4453*z = 2254 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -0.5, 0, 7, -0.522?\nAnswer: -0.522","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a = 101 - 79 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (388 - 34 - 119)*((3*s - 2*s**2 - 3*s)*(-s**3 - 2*s + 2*s) - 6*s**3 - s**3 - 3*s**5 + 3*s**3).\nAnswer: -235*s**5 - 940*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3069857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 293445699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*sqrt(5) - (sqrt(5) + (sqrt(30)\/(-1*sqrt(6)) + sqrt(5) - sqrt(5))).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 9*g**2 + 5*g + 2. Let i(m) = 5*m**2 + 2*m + 1. Determine -3*h(o) + 5*i(o).\nAnswer: -2*o**2 - 5*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a**2 + a**2 + 1 + 4*a**2 + (1 - 1 + 2)*(-a**2 - a + a))*(-21*a**2 + 11*a**2 + 13*a**2) in the form w*a**4 + t*a + g*a**2 + j + h*a**3 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -242930, -485859, -728762, -971627, -1214442, -1457195, -1699874, -1942467?\nAnswer: -2184962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3))**(-39)*(l*l**(-1\/6))\/l**(-1\/4))**14 assuming l is positive.\nAnswer: l**(-1001\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 166*x**2 - 5598*x + 310968. What is z(142)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 42*r + 70. What is m(-40)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2964457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(128) - (sqrt(128) + (sqrt(128) + 3 - sqrt(128))))**2*-1.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 6*u**2 + 3*u - 6. Let f be j(-5). Suppose -f*a = -2*w - a + 95, a + 5 = 0. Let p = w + 2. Is 21 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -73, -91, -91, -73?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.22*-1081.9.\nAnswer: 238.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 397496018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*q**2 - 4 - 5*q**2 + 11 - 10*q**2 with respect to q.\nAnswer: -42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*i**2 - 48*i**2 - 3 - i**3 + 3*i**3 as g + b*i**3 + t*i + k*i**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -1177?\nAnswer: 1177.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4097, -1\/8, -3\/4, -0.9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 4, 0, -34392 in ascending order.\nAnswer: -34392, 0, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-16))\/((-3)\/(-8)))\/(18\/(-216))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 40.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-259 + 258)\/((0 + -1)\/(-82 - -15))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -6) + (-12 - -3). Let f(n) = 3*n**2 - 4*n - 4. Let l(r) = 4*r**2 - 5*r - 5. Let c(o) = x*l(o) + 5*f(o). Let k(z) = -22*z. Give c(k(w)).\nAnswer: -484*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 1\/32, 6, -2\/9.\nAnswer: -2\/9, 1\/32, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1810 - 1781. Suppose g + 1 = 24. Suppose -2*u + 23 = 6*f - f, f = -5*u + g. What is the lowest common multiple of f and l?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) 6 (c) -3\/4 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.279 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16095055 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, q: 13}. Give prob of picking 4 q.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 19 = f, 3*f - 2*d + 0 = -19 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -956, -4190, -9586, -17144, -26864?\n\"Answer: -1081*f**2 + 9*f + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13240 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -163\/186 + 4\/93. Which is the fourth biggest value? (a) l (b) 4 (c) -3 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.5 (b) 0.029 (c) 2074 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -274 (base 14) to base 3.\nAnswer: -200022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 27, -5, 0, -149 in decreasing order.\nAnswer: 27, 0, -5, -7, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*w + 10458 = -134*w. Calculate the greatest common divisor of w and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*j - 16 = -4, -2*j + 6 = 0. Suppose 4*f = -2*l + 30, 4*f = w*l - 0 + 25. Does 14 divide 2\/f + 1065\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1543227817?\nAnswer: 43, 67, 449, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 5. Is -13\/4 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7183847 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 17 + 2)*(-2*h + h + 3*h)*(0*h**2 - 8*h**2 + 6*h**2 + 5*h).\nAnswer: 60*h**3 - 150*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - -127?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - c = -4*c - 21, 3*g + 2*c - 11 = 0. Suppose 0 = 6*h - 3*h - 6. Let f(w) = -w**3 + w**2 + 3*w - 2. Let q be f(h). Solve q*z = g*z + 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b + 4. Let n(o) = 1. Let c(r) = r**3 - 8*r**2 + 5*r + 11. Let k be c(7). Calculate k*n(f) + g(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-1 + sqrt(128))*-2)**2.\nAnswer: -64*sqrt(2) + 519","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*16\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-15) - 60\/(-50) - 0. Let d = 1 + 1. Suppose d*b - 6 = -b. Solve -5*x + b = i, -i + 4 = f for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 151*p + 237. Give g(-7).\nAnswer: -820","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*g + 324 - 361 = 667 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2226 = -143*k + 150*k. Let a be 530\/k*(8\/30)\/(-4). What is the nearest to 0 in -0.04, a, 0.1, -1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011 - 1101001000?\nAnswer: -1100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2182, 80?\nAnswer: 2182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 658 and 2856472?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - 6. Let a be 6\/(-15) + z\/(-5). What is the third derivative of 11*g**3 + 4*g**5 - 11*g**a + 3*g**2 wrt g?\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -71, -119, -175?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 12*i - 10 = 0, 3*i = -3*p - 60906. What is p rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173 + 3*d - 173.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.15 and 11?\nAnswer: 10.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -0.33 (c) -3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40168\/7 - -5759. Let n = -21 + x. What is the second biggest value in -4, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4335470 equal to -4335477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19*m**2 + m**2 + 42*m**2)*(2*m**2 + 2*m**2 - 2*m**2) to the form t*m**4 + w + a*m**2 + p*m**3 + s*m and give t.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -155662.634 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 5 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t. Let u(z) = z**3 + 9*z**2 + 6*z + 4. Let x(h) = -3*a(h) - u(h). Let d be x(-8). Solve -d*f = f - 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 + -73. Let v = 91 + t. Let c = v - -58. Calculate the highest common divisor of 8 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6931\/7 + -989. Determine a so that -18*a**4 - d*a**2 + 64\/7*a**3 + 0*a + 0 = 0.\nAnswer: 0, 2\/9, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 - 2*o + 12. Let t be h(-4). Suppose -68 = -30*k + t. Which is the third smallest value? (a) 1 (b) k (c) 5 (d) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*a = -64. Suppose n + 107 = 5*x, x + 4*n = -n + 37. What is the lowest common multiple of a and x?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-195)\/315 - 8\/(-28).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - (-44 + 49 + -38).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -134 + 668\/5. Let d be (148\/20)\/(2\/(-5)). Let f = d + 19. Which is the nearest to 0? (a) f (b) 3\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5643\/228 + -8 + -8 + -3\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.2.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -9. Let s be (-1 - 3)*30\/f. Let d = 89\/3 - s. What is the third smallest value in d, 3, 1\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*a + 20*d - 7*d - 14*d - 3*d = -11, 4*a + 3*d - 6 = -14*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2 + 2*q - q - 6*q + 0. Suppose u + g + 7 = 6*g, 2*u + 9 = 5*g. Give r(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -271263 and 94601.\nAnswer: -176662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 2 - 4 - -33. What is the highest common factor of 580 and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -299 - -301. Let m be ((-17)\/(-5)*-2)\/(g\/(-10)). Solve m - 9 = 5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 1 = -22*y + 18*y, -2*f - 1 = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1196, 1, 4, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1128 is divided by 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-916 - -925) + (-21 - 2) + (-1 - -4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 5*q + 50. Let v be (27\/36 - 0)\/(92\/368). Solve q = -v*g + 4*i + 2, -3*g + 5*i = 7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 912 and 2793.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h + 22. Let a be n(12). Let x = 90 - a. Let o be (-18)\/4*(-3)\/((-27)\/x). Solve 4*f - 8 = o*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1)\/(1 - 4 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2607)\/(-9) + (-4)\/(-12). Let d be l\/35 + (-4)\/14. Suppose d*n - 4*n - 108 = 0. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -2\/3, -12, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.16 + 3.84. What is the nearest to 2\/3 in -1, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 9*s**3 - 3*s**2 - 3*s - 5. Let f be 44\/(-8) + (-1)\/(-2). Let c(d) = 5*d**3 - 2*d**2 - 2*d - 3. Calculate f*c(w) + 3*y(w).\nAnswer: 2*w**3 + w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 22 = 2*s, s - 2*s + 9 = i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -206*j**2 - j**3 - 8 - 8*j + 206*j**2. Let l(v) be the second derivative of v**3\/6 + v**2\/2 + 15*v. Calculate -5*b(z) - 40*l(z).\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 442368\/7 - 2\/7*z**4 - 284\/7*z**3 - 27648*z - 13248\/7*z**2 = 0. Calculate z.\nAnswer: -48, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c - 2. Let q be o(-2). Let a be q\/(-5) + (-12)\/(-5). Let x(z) = -z**3 + 7*z**2 + 10*z - 13. Let d be x(8). Sort d, a, -3 in ascending order.\nAnswer: -3, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4800*m + 2498*m + 31824 = -1366*m for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -1\/60*j**5 + 2\/3*j**3 + 0*j - 1\/3*j**4 + 0 + 3*j**2. Is d(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*q - 70 = 0. Let f(r) = 2*r + q*r**2 + 8 - 10 - 2*r. Let p(z) = 4 + 0*z**2 - 9*z**2 - 3. Calculate -5*f(m) - 8*p(m).\nAnswer: 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 0.03, 7, -11?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*sqrt(76) + sqrt(76).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**2)**(-1\/33)*(b\/b**(-2\/5))**14*(b\/(b**2*b))\/(b**(-6)*b)*(b\/(b*b\/b**(-1\/4))*b)\/b**(-4\/3) assuming b is positive.\nAnswer: b**(15571\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (0 + -6 + -1). Let w(j) = 5*j - 50. Let g be w(11). Suppose 2*s - 3*v - f = 0, 4 = s + g*v - 0. Solve 5*q - s*q = -1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3002\/3 + 1001. What is the nearest to -0.2 in -226, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.0000011497 - -13. Round l to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -56878 in -83, 0, 3.6?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + -2 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d + 10*u - 232 = 6*u, -3*u = -5*u + 6 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 6*k - 8. Let f be p(6). Let v be -1*(f*1 - -1). Let q = -15 - -21. Is v < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73388.\nAnswer: 2, 7, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 2*w - 519, -4*r + w + 4*w + 402 = 0. Suppose -r + 33 = -4*d - 5*n, 0 = -2*d - 2*n + 34. Calculate the remainder when 28 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.9266954? (a) -2\/3 (b) -4\/3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/1439 in 2\/11, -67, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 (base 14) in base 12?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*b + 3*b - 520 = 0, 3*b + 1040 = 4*t. Suppose 3*r + 6*i = 3*i + 192, -4*r + t = 3*i. 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 y(q) = -q**3 + 2*q**2 + q - 1. Let k be 4\/(12\/9) + 0. Suppose k*b + 5 = -3*z - 13, 12 = -4*z - b. What is y(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 11:39 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from feffffeffeffff?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-217004)\/14)\/((-110)\/385) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 10*k = 176. Calculate the remainder when k is divided by 0*(-2)\/(-2) + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 - 6*v**2 - v - v**2 - 2*v + 3*v**2 to p*v + i*v**2 + j*v**3 + o and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6712 less than -86.4626?\nAnswer: -87.1338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*y + 855 = 0, -2*l - 860 = -7*l + 3*y. Calculate the greatest common divisor of 25 and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1566 by -783.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 471086227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16599 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 644*o**3 + 8*o**2 + 6 wrt o.\nAnswer: 3864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 80a + -20721?\nAnswer: -1cc14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f + 2*f - 6*f + (-3 + 3 - 2)*(-38 + 2*f + 38) + (-2 - 1 + 2)*(-f + 6*f - 2*f) + 2*f + 3*f - 4*f.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(99)*-1*5 + -5 + 3 + (sqrt(99) - ((sqrt(99) - (0 + sqrt(99)))*-5 + sqrt(99) + sqrt(99)) - sqrt(99)))**2.\nAnswer: -19420 - 336*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 569 = -553 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 195 times -0.4173\nAnswer: -81.3735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 10*l**2 + 1352*l + 409. Calculate f(-135).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(440) + sqrt(440) + (sqrt(440) - sqrt(440)*2)*-4)\/((sqrt(10) + sqrt(40))*2))**2 + -4.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 12. Let k be 2\/((-1)\/(-12)*n). Let l = -2 + k. What is the remainder when 10 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15\/4 + 4. Let t = 81.3 - 46.6. Let m = -34.6 + t. Which is the closest to z? (a) m (b) -0.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xiix when four letters picked without replacement from xipixpixpippiixpipxi?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/84 + ((-24)\/(-28))\/6.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 9:23 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2590 + 15790 = 3*w, -12290 = -2*w + 4*y. What is the thousands digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/2 - -3 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 3) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-206199.\nAnswer: -41239.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*q = 529, 4*q = 3*l + 260 + 273. Let t = l - -279. Calculate the highest common factor of 26 and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**2 + 1182*s - 10881 = 0 for s.\nAnswer: -403, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -622.200013355 + 622.2. What is l rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 330 and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 16*g**2 + 1 + 3*g - 3*g**2 + 3. What is the hundreds digit of d(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*(5\/(-15))\/(3*10\/(-45))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/14)\/(8\/(-4)). Solve -2*t + 6 = k, -7 = -19*z + 18*z - 4*t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 417 and 75.\nAnswer: 10425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 25*a + 22*a - 49*a)*(-a - 2*a + 4*a + (4*a + a - 3*a)*(-4 + 1 + 1)).\nAnswer: 6*a**2 + 33*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1\/11, -0.8, 4 in descending order.\nAnswer: 7, 4, -1\/11, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + n + 1. Let d(w) = -3*w**2 + 4*w - 7. Let h(q) = -2*b(q) - d(q). Let a be h(5). Solve a = 2*m - 4*m - 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 253681143?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8191563 - -16576118. Let p = -5094555 + h. Round p to the nearest 100000.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -4675 and -172941\/37 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*5*12\/10. Let y = 8 + d. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-12)*-2)\/((342810\/1647)\/26 - 8). Let s = 0 - 0. Sort -4, s, a in ascending order.\nAnswer: a, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*6 - 1*(-4 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -1\/90*t**6 + 1\/45*t**5 - 1\/504*t**8 + 0 + 2*t**2 + 1\/9*t**3 + 0*t - 1\/105*t**7 + 1\/12*t**4. What is x in a(x) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 48 = -2*f. Let y be (f\/(-60))\/((-1)\/(-15)). Suppose -1324 = -y*s + 2*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**5 + 2*b**5 + b**5 + 3*b**5 - 7*b**5 + 3*b**5 + (10*b**4 - 3*b**4 + 17*b**4)*(2 - 2 + b).\nAnswer: 30*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9467.035 litres in millilitres?\nAnswer: 9467035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*p + 42360 = 1064*p + 639*p for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0096491478 rounded to six dps?\nAnswer: 0.009649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -858833309 - -79?\nAnswer: -858833230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2213947 to the nearest integer?\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25019346.\nAnswer: 2, 3, 11, 379081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*v = 133*v + 30. Suppose 5 = n + 2*x - 4*x, v*n = 4*x + 19. Sort 1, n, -5, -30.\nAnswer: -30, -5, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 q when three letters picked without replacement from {b: 9, q: 5}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3021 - -11?\nAnswer: 3032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 1. Suppose 46*i - 71 = -25*i. Let a(j) = -j - 4 + j + 2*j**3 - j. Give i*a(k) - 4*g(k).\nAnswer: -2*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/91, -0.04, 2 in increasing order.\nAnswer: -0.04, 6\/91, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/35)\/(6\/(-42)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 128.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517801 is divided by 178.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 4.51. Let z = q - 0.5099927. What is z rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1135*n = -1156*n + 21 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -161761.8989 + 161616.6811743. Let k = q - -148.01773. Let t = -2.8 + k. Round t to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 87*q + 44*q + 1310 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 783, 3113, 6995, 12429?\nAnswer: 19415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 1, 2\/7, -2\/3, -372, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 561895 and 10438875.\nAnswer: 5155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 10*v**2 - 5. Let n(l) = -2516*l**2 + 4*l + 2505*l**2 + 2*l**3 - 4 - l**3 - 4*l. What is -4*h(u) + 5*n(u)?\nAnswer: u**3 - 15*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/20 + -71\/60. Let z = 66.63 - 67. Let k = -1.37 - z. Sort k, c, -3.\nAnswer: -3, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -427 - -431. Suppose 6*j - 6 = 3*j. Suppose -j*l = -3*o + 21, -4*l - 11 = 5*o - 68. What is the lowest common multiple of o and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 13*m**2 - 2284*m + 8262. Calculate p(172).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -3*x - 5*n, 0 = -x + 114526*n - 114527*n + 17 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1447\/2133 - 156\/79. Find the common denominator of v and 41\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 7. Calculate t(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.19, -0.1, 11\/453, -0.4 in descending order.\nAnswer: 11\/453, -0.1, -0.19, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**13*w)\/((w*w*w**4*w)\/w*w) assuming w is positive.\nAnswer: w**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w - 4. Let i be f(-9). Suppose 0 = 3*r - 1 - i. Suppose 0 = 5*x - x + 4. Put x, r, -5 in ascending order.\nAnswer: -5, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 335554695 and 9?\nAnswer: 335554695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16208 + -178287\/11. Factor v*f**3 - 16\/11*f + 12\/11 + 3\/11*f**2.\nAnswer: (f - 2)*(f - 1)*(f + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 321 divided by 2.\nAnswer: 321\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 93120 = 43*b. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/((sqrt(56) + sqrt(896))\/sqrt(7)))\/(sqrt(1440) - (sqrt(1440) + (sqrt(1440) - (sqrt(1440) + sqrt(1440) + (sqrt(1440)*-2 - sqrt(1440)))*-2))).\nAnswer: sqrt(2)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(5\/9)\/g*g)\/g**(1\/17))\/(g**(-12\/7)\/g)**7 assuming g is positive.\nAnswer: g**(2983\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 7 = -15. Let b be u\/30 + (-825736)\/120. Find the common denominator of -101\/6 and b\/(-588) + (-2)\/7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 7*d - 5. Let c be t(-5). Let k = 3 - 3. Solve c*b - a = -20, b = -k*b + a - 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i. Let q(n) = -150*n + 75*n + 83*n. Let y(g) = -7*g. Let s(x) = 5*q(x) + 6*y(x). What is t(s(r))?\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2632 and 5139974?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - 44 - ((22 - -3) + 12).\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 5*w = -3*j - 77, -2*w = 4. Let t = j - 17. Factor -5 + 0 + 4 - 36*k**2 + t*k.\nAnswer: -(6*k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432 = 20*r - 8*r - 66*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**7\/14 + 7*f**6\/10 - 3*f**5\/10 - 23*f**4\/2 + 65*f**3\/2 - 75*f**2\/2 - 255*f. Find y, given that h(y) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*z**5 - 43956*z**4 + 2*z**3 + 1641*z**2 + 30536 wrt z?\nAnswer: -1200*z**2 - 1054944*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l**2 - 4 - 11*l**2 + 1 as m*l + s + c*l**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1877, -3749, -5641, -7565, -9533?\n\"Answer: -2*a**3 + 2*a**2 - 1864*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 6 = 3*l - 2*v, 3*l + 3*v = -6. Let o = 1 + -3. Which is the smallest value? (a) l (b) o (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -269*d - 1082. Calculate k(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c - 18. Let p = -57 - -63. Let r be k(p). Solve 0 = -2*d + r*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**3\/6 - 84*z + 1. Let l(p) be the second derivative of -17*p**4\/12 + p. What is r(l(g))?\nAnswer: -17*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 510295 to the power of 1\/2, to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4 + -6)\/2)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x = -15*x + 5*p + 24, -24 = -5*x + 3*p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**7\/8400 - h**6\/3600 + 13*h**3\/2 - 43*h. Let x(n) be the second derivative of k(n). Solve x(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w - 1. Let t(g) = g**2 - 8*g - 24. Determine -5*p(l) + t(l).\nAnswer: l**2 + 2*l - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 443817347 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1548425 divided by -309685.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 18 (b) -4\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 + 0*w**3 + w**3)*(0 - 32 - 16).\nAnswer: -96*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 6919081.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 19*n**7\/21 - n**3\/2 + 46*n. What is the second derivative of c(j) wrt j?\nAnswer: 760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 20*x - 2. Let c = 721 - 739. Let t be r(c). Which is greater: -43 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*s + 3, 4*o + 3 + 1 = 0. What is the third derivative of -77*g**2 - 136*g**s + 146*g**3 + 252*g**2 wrt g?\nAnswer: 876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 28 = 12. Suppose 0 = -s + 2*o + 6, -5*o = 4 + 6. Suppose -x = -6*k + s*k. Solve -5*m = 3*g - k - 29, -4*m + 24 = 2*g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - u**2 + 56*u + 20. Let n be b(-8). Solve n = 3*z + 32 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, a: 4, t: 1, u: 1, k: 1}. Give prob of picking 2 z.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9 - (-1 + -4) - -2 - -3. Let s(l) = -13*l**2 + l - 3. Let c(q) = 24*q**2 - 3*q + 8. Let i(f) = 2*c(f) + 5*s(f). Determine i(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nntnnnnnnnnnndnnmts. Give prob of picking 1 t, 1 n, and 1 s.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 861 is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239369?\nAnswer: 13, 18413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**3 + 4*k**3 - 4*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13334 is divided by 5165?\nAnswer: 3004","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 819322.4 hours in seconds?\nAnswer: 2949560640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3164923 to the power of 1\/3, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/238 and -145\/5418?\nAnswer: 92106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 12525?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -14. Suppose 8*y - 3*y = 0. Sort 3, y, u in descending order.\nAnswer: 3, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34823*u - 55564*u - 25304*u - 21534*u - 137206*u)*(-u + 2*u**3 + u) as j*u**4 + m*u**3 + z + c*u**2 + g*u and give j.\nAnswer: -548862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(297))\/(sqrt(48)*-3).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (3 - 2) - (100 + -4 - 53)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - y + 0)*(y + 1 + 1 - 8*y)*(3 - 1 - 3)*(-7 - 12 + 29).\nAnswer: -70*y**2 + 20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 5 (c) -5\/3 (d) 0.136\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 158336.\nAnswer: 475008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-6) + 89012\/264. Is 17\/((3\/l)\/3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0159224716 rounded to 6 dps?\nAnswer: -0.015922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 284*v**2 - 2*v - 36. Let q be m(-6). What is q rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134675019 to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 + 9*y**2 - 4*y + 7. Let u be j(4). Suppose 0 = -u*g + 31*g - 120. Which is the biggest value? (a) g (b) -6 (c) -5 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 12*x + 28. Let u be q(-14). Suppose h + 619 + 284 = u. Let i = 568 - h. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 634 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/3))**(-1\/15))**39 assuming v is positive.\nAnswer: v**(-26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/27 and 55\/18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -28. Suppose 6*g - o = g + 6457, -g - 2*o + 1298 = w. Suppose 4*n = 2256 + g. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*t - 70, 2*t - 15 = -0*t - j. Suppose -3*f - 2*f + 10 = 0, 4*d + t = 5*f. Suppose d = 5*c + 252753 + 132247. Round c to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -387*r**2 - 131307743 + 73*r**2 + 131307746.\nAnswer: -314*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 30188, 1\/3, 3\/31?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1010101001111010 (base 2) to base 8\nAnswer: 125172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-10)*l)\/l**(-8)*(l\/(l*l**5))\/l*l\/l**(-2\/3))**27 assuming l is positive.\nAnswer: l**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 75*l - 840. Determine r(11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = -3*a, -3*z = -4*a + 89. Let u = -16 - z. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghnnnynnnzu. Give prob of sequence nu.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/11 - 130\/11. Let h be (4821\/2626)\/((-20)\/k). Let r = 2\/1313 - h. What is the common denominator of r and -95\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f*f\/(f**(-5)\/f)*f))\/((f\/(f*(f\/(f*f**(5\/3)\/f*f*f)*f)\/f))\/f)*f**(-2\/15)*f*f**(-2)*f*f*f assuming f is positive.\nAnswer: f**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -133?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.02 (b) 4 (c) -2245 (d) -2 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.077 - 45.077. Which is the nearest to -0.1? (a) 4 (b) o (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146203671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - f - 4. Let l(k) be the second derivative of -k**5\/6 + k**4\/24 + 7*k**2\/2 - 2*k. Let a(g) be the first derivative of l(g). Calculate a(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwjlpj. Give prob of sequence pw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4550 - 4607.09. Round d to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09+0.66\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 6. Suppose 0*v - x*v + 22 = 0. What is the third derivative of -v*t**2 + 2*t**2 - 9*t**6 + 15*t**6 wrt t?\nAnswer: 720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93 - 91. Suppose -v - n*v - 2*g = 11, 5*v - 11 = 4*g. What is the third smallest value in v, 9, -1\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 6*d + 5. Suppose 4*y - 18 = y. Let t be l(y). Suppose 0*x = -t*x + 3850000. What is x rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 + 7716868*o**2 + 15433730*o + 7716864.\nAnswer: 2*(o + 1)**2*(o + 3858432)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, -8 in increasing order.\nAnswer: -8, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*(1*sqrt(1280) + sqrt(180) + 5)*1)*1.\nAnswer: 34 + 132*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**3 - 3*a + 2. Let c(k) = 17*k**3 + k**2 - 13*k + 9. What is -2*c(f) + 9*z(f)?\nAnswer: 2*f**3 - 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 3*s**3 - 4*s**2 + s**2 + 11*s**2 - s - 5*s**2 to r*s**2 + l*s + k + j*s**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 30*v**2 - 3*v + 10. Calculate h(30).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1774, 22963, 58282, 107737, 171334?\nAnswer: 249079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47124 and 60928?\nAnswer: 6031872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 72*q**2 + q + 2. Let s be x(-1). Suppose 2*j - s = -5*n, -n = -4*n - 5*j + 40. Suppose -o = -4*o - n. Sort 0.7, o, -3\/4 in descending order.\nAnswer: 0.7, -3\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 809 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-nine fifths of a kilometer?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 9405*c - 247910.\nAnswer: 5*(c - 1907)*(c + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iijijj. Give prob of picking 1 j and 3 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 9*y**2 - 4 - 2.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -14*262\/(-8) - (-2)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 (base 6) in base 5?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1178828947, 1178828949, 1178828951, 1178828953, 1178828955, 1178828957?\nAnswer: 1178828959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*q - 579 - 367. Let z = q + 103. Let t(p) = -p**3 + 10*p**2 + 8*p - 5. Let x be t(8). What is the greatest common divisor of z and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 261 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000007923 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 51002 (base 14) to base 6\nAnswer: 4101550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.3 + -0.7. Suppose -1823 = -3*h - l, -4*h + 2*l + 2433 = l. Suppose 0 = -612*a + h*a - 8. What is the closest to x in -0.3, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/(-1 - (-30)\/18). Solve 3*t + w = 24 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5425 and 10695?\nAnswer: 374325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 9 - 5 = -9*p + 2*g, -g = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4365 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1237, -2472, -3707, -4942, -6177?\n\"Answer: -1235*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 14 = 2*h, -3*h = -5*h + 3*j + 4. Suppose -3*z + r + 3*r + 56 = 0, h*r - 65 = -3*z. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*n + 15*o = -152*n - 20, 11 = 5*n - 2*n + 4*o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30005333347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*z**2 + 5 + z - 2 + 0*z**2 - 4 to r*z**2 + c*z + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.988 to zero decimal places.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -67592?\nAnswer: 1\/67592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13\/14 - -3\/7. Let h be (64\/(-4))\/4 + 5. Which is the closest to h? (a) 1 (b) r (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 19*p - 4. Determine h(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1116792356.\nAnswer: 2, 17, 59, 278363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1263 - 1251 + 39*r**2 + 2540 to q*r + s + c*r**2 and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 348\/30 + -4\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -2\/11 (c) 27 (d) -4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, n: 3, p: 3, x: 3}. Give prob of picking 2 n.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346042?\nAnswer: 2, 173021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31430507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 594635002 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t + 12. Let w be 32 - 24 - 17 - (-8 - 1). Give q(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42419764.8s to weeks.\nAnswer: 70.1385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -780 divided by -26\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k. Let f(r) = -3*r. Let c(l) = 4*f(l) + 5*m(l). Let x(u) = 5*u**2. Give x(c(y)).\nAnswer: 45*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a = -14*a - 36. Suppose -4*x = -4*w + x - 71, -w - a = -3*x. Which is greater: -23 or w?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*h - 56 = 244, 4*h = 3*r + 180. Let t be ((-2)\/5)\/((-132)\/r). What is the biggest value in -1\/10, t, -1\/8?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -2\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 60\/(-36)*(-159)\/(-2). Let b be -18 + 18 - (-1 + -178). Let j = q + b. What is the common denominator of j and 45\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 619115 divided by 5?\nAnswer: 123823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + (13 - 8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 6:06 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/4*i**3 + 12*i**2 - 21*i.\nAnswer: -3*i*(i - 14)*(i - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81 * -0.3\nAnswer: -24.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/4, 69, -1531, -5, 3, 0.2 in ascending order.\nAnswer: -1531, -5, -1, 0.2, 1\/4, 3, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(2970\/3705)*(288\/(-117))\/(-16)\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.085 and 21180.\nAnswer: 21179.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 - 13*t**2 - 5*t + 3. Let q(j) = -j**3 - 7*j**2 - 3*j + 1. Let c(v) = 3*h(v) - 5*q(v). Calculate the least common multiple of 6 and c(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, o: 1, h: 2}. Give prob of sequence ohd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13689 is divided by 4489?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**2 + 4 - 4 + 6*s**4 + 0*s**2 wrt s?\nAnswer: 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 12:16 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/7, 7, -21185 in ascending order.\nAnswer: -21185, -9\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 3:32 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p. Let n(k) = 5*k**2 + 41*k. Give c(n(b)).\nAnswer: -25*b**2 - 205*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a - a)*(-2*a**2 - a**4 + 2*a**2) + (0*a - 2 + 1 - 2*a)*(-3*a + 2*a**4 + 5*a - 5*a**4).\nAnswer: 7*a**5 + 3*a**4 - 4*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**3 + 201*v**4 + v**3 + 2*v**2 - 90*v**4 - 66 - 94*v**4 as w*v**4 + t + m*v + s*v**2 + p*v**3 and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 3*l - 35, -2*x - 42 = 23*x - 2*l + 31 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12030 - 12029.8886. Round f to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 243126.\nAnswer: 2674386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-30)\/(r*r**(-4\/13)\/r) assuming r is positive.\nAnswer: r**(-386\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 41*n**4 + 10*n**3 - 315*n**2. Let x(u) = -41*u**4 - 12*u**3 + 314*u**2. Let v(d) = -5*a(d) - 4*x(d). What is the third derivative of v(h) wrt h?\nAnswer: -984*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/332 and 71\/2244846.\nAnswer: 372644436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 487, 1943, 4377, 7795, 12203?\n\"Answer: b**3 + 483*b**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 13 + (3 - 27)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 179 + -165. Suppose 5 = 2*a - 5*y - 5, 5*y + 10 = -4*a. Suppose a*v - i = 2*v. Let r(z) = z**2 + 7*z + 6. Determine r(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 267180140 and 1370.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j - 1054 = 8*j. Suppose -4*q + 42 = -2*k, 0*q - 4*q - 2*k + j = 0. Calculate the remainder when q is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 3*q + 70. Let g be c(-10). Let i be 6\/21 - (-38)\/14. Solve -i*n + 6 = -g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 1382869.\nAnswer: -1382869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4010\/(-10025)*4\/(-3)*(-5)\/52.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.39, -2\/5, 4, -3\/31, 7 in descending order.\nAnswer: 7, 4, 0.39, -3\/31, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0603 - -3.0603. Let u be 2*2 - 795\/45. Let o = -14 - u. What is the third smallest value in -2, o, m, -0.7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4040, 8088, 12124, 16142, 20136, 24100?\n\"Answer: -i**3 + 4055*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 4 - 7 + i in the form n + g*i and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3952243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 4*y - 32. Suppose -13*o + 9*o + y = 0. Solve -o*i = -q + 3*q, -i - q = 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.1? (a) -1055 (b) 2\/7 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1373861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.83426 + 0.06026. Let x = 6.7 + q. What is x rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13974831 divided by 358329\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/9, 8\/5, -2\/15, 0.002, 0?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 129039 smaller than 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35393*j + 100201 + 112157 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/31 + 35\/124. Let t = -111.6 + 112. Which is the nearest to -1? (a) t (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18889 + 75589 - 18906 - 18908 - 3*s**2 - 18886.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03 - -0.11. Let n = -56 - -55. Which is smaller: n or k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (11 - 4) - (61 - 25)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k + 41 = 15 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 965160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t. Let a(r) = -1007*r**2. Determine s(a(k)).\nAnswer: -3021*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21450200 rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1015929687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*(sqrt(1250)*2 + -1 + 2)*6 + -3)**2.\nAnswer: 13200*sqrt(2) + 720121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*r = -82*r - 1498. Suppose -5*q + 0*q - 5 = 0. Let p(i) = -4*i**3 - 2*i**2 + 1. Let y be p(q). Sort r, -5, y.\nAnswer: -5, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 531 + 225 = 0. What is t rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2305338 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 18 = 4*u, -3*u - 3146*w + 24 = -3158*w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 91815 and 2355.\nAnswer: 14414955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (3 - -1 - -60). Let b = 73 - h. Solve 2 + b = -3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 28*i**2. Let r(f) = f**3 - 6*f**2 + 2*f - 1. Let v be r(6). Let m(g) = 23 - v - 12 - g**2 + 8*g**2. What is s(m(u))?\nAnswer: 1372*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.04 and -8.9.\nAnswer: -9.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 88792669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 886715?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 63*j**3 - 114*j**3 + 13*j**5 + 53*j**3 + (0*j**2 + 2*j**2 + 0*j**2)*(-j**3 + j**3 + j**3).\nAnswer: 15*j**5 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 4. Suppose 5*q + 1 = 4*w, -5*q - w + 11 = -a. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (3 - 6) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = k - 3*r - 13, -4*k - 5*r - 12 = 0. Let s be (k\/(-4))\/(4*(-2)\/32). Suppose -s*x + 111 = -33. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + u + 29 - 6 = 0, 2*u = 2. Calculate the common denominator of i - (-2 + 25\/15)*5 and 38\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-578)\/(-136) - (-2)\/(-8). Let w = h + -4. Is -5\/7 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 217 - 231. Let n(g) = -g**3 - g**2 + 17. Let r be n(0). Let v = r + x. Solve 0 = -f - 2, -3*k - 22 = k + v*f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**4 - 210*m**3 + 5607*m**2 - 10382*m = 0.\nAnswer: 0, 2, 29, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(0 + 3*(-3)\/(-36)). Solve u*n + 1 - 17 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 75. Let q = -510 - -530. Calculate the remainder when c is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*b - 14. Suppose -2*q - o = -26, 4*o = b*q - 6*q + 52. Let f(d) = d**2 - 23. Let l be f(-7). What is the highest common divisor of q and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 962*t + 175816. Determine s(-244).\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 2*v + 1. Suppose 16*m = 73 + 23. Let t(q) = 2*q**2 + 3*q + 1. Give m*k(d) - 4*t(d).\nAnswer: -2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/103, 4, -1\/2, -1, -1.8 in descending order.\nAnswer: 4, 2\/103, -1\/2, -1, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 59596 a multiple of 317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/74 - (-82669)\/(-76257)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45*(1\/(5\/(-20)))\/(-6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49*r**3*w**2 + 2*r**3*w - 2592*w**2 with respect to r.\nAnswer: -147*r**2*w**2 + 6*r**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/30 - (-40226)\/30. What is the thousands digit of m - (-16 - -7) - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13935 divided by -4645.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, 0.5, 2, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66*s**5 + s**4 + 52*s**3 - 83982*s**2 + s wrt s?\nAnswer: 3960*s**2 + 24*s + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qry. What is prob of sequence qy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 3, j: 4, s: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/8014070 and -33\/80.\nAnswer: 64112560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 368 divide 513155024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1429 - -0.5.\nAnswer: -1428.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-3)\/(-99)*24\/(-8).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/48)\/(2\/(-6)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + 1)**2 + 0.\nAnswer: 8*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 5*z - 12. Is z\/(-5 - 1)*1986 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2, 0.7785 in descending order.\nAnswer: 2, 0.7785, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t + 9*t + 313*t**2 + 2 + 2308*t**2 + 18*t**2 + 1188*t**2.\nAnswer: 3827*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-3 - 0)\/(-3). Suppose -x*i = -t - 3*t - 13, -12 = 2*t + 4*i. Let s(y) = -5*y - 4. Let a be s(t). Solve p + 2*n = 6, -5*n + 4 = -a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -7*q**2 + 0 + 2\/15*q**5 + 1\/6*q**4 + 0*q**3 + 1\/30*q**6 + 0*q. Factor g(u).\nAnswer: 4*u*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqhqjbbo. What is prob of picking 1 j and 1 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**3 + 7*t**3 + 2*t**3 + 4*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 16, f + 0 + 2 = d. Suppose -p - p = -d. Solve p*s + 0*h = -3*h + 9, 4*s + 2*h = 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*d + 2*z = 106*d - 16, 4*z + 20 = -4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/64 or -1716?\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 o when four letters picked without replacement from {o: 2, r: 4, i: 1, j: 3}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -137 + -226?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3982.\nAnswer: 2, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, g: 5, y: 2, z: 1, e: 1}. What is prob of picking 3 a?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - 4*h**2 + 3*h**2)*(-3 + 2 - 1) + 2*h**2 + h**2 - h**2 + h**2 + h**2 - 4*h**2 + (5*h - 2*h - 2*h)*(-2*h + h + 2*h).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhn when three letters picked without replacement from {n: 2, h: 5}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66.2 - 60.\nAnswer: -126.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 3:21 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 35\/(-5) - (-9 + 11585\/5785). Which is greater: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/(-9)*(129\/15 + 1). Let h = g - 27. Suppose -h*z + 40 = -30. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 3*x + 11, 10682*z + 4*x - 34 = 10667*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.242 * 367.\nAnswer: 88.814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/1840 and -49\/220?\nAnswer: 20240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7592 and 416.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*(2\/5)\/(20\/25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 1. Let v = -2.2 - -2. Suppose 12 = -u - 2*i + 5, -4*u - i = 0. What is the closest to v in a, -0.5, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, i: 4, w: 2, p: 7, x: 3, d: 1}. What is prob of sequence xvdp?\nAnswer: 7\/24480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/10)\/((q\/q**(-1\/8))\/q))\/(q\/q**(-2\/43)*((q\/(q\/(q*q**(3\/2))))\/q)\/q) assuming q is positive.\nAnswer: q**(-2359\/1720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 26 - 48 - 7*c + 22. Let g(n) be the second derivative of 0 + 0*n**2 - 4*n + 2\/3*n**3. Give i(g(r)).\nAnswer: -28*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*q - 85 - 9*q + 15*q + 52 to d*q + m and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 627*u - 1256*u + 4*u**3 + 629*u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4681.172 meters in millimeters?\nAnswer: 4681172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -3)\/((-81)\/(-351)). Suppose 8*a + i + 35 = 0. Let u(b) = -b - 2. Determine u(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1756089946 divided by 2.\nAnswer: -878044973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3514 a factor of 686389620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**13\/t)\/t)**(-50)*((t\/(t*t**16))\/t)**(2\/11) assuming t is positive.\nAnswer: t**(-6084\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -78433 and -0.7255221?\nAnswer: 78432.2744779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-7.6\nAnswer: 3.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341243 is divided by 695.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -312, -309, -304, -297?\n\"Answer: x**2 - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -19*s + 78. Suppose 0*b = s*b - 204. Suppose -12*a + b = -14. Solve 0 = 4*i - 4*x - 4, 3 + 1 = a*i - 5*x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88059 + -338.\nAnswer: -88397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1927996.\nAnswer: 2, 7, 37, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2. Let i(t) = 44279*t**2. What is v(i(h))?\nAnswer: 1960629841*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-12))\/(2\/16). Suppose 46*t - 152 = -30*t. Which is the second smallest value? (a) -0.05 (b) t (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 5. Is 20\/y*78\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/404376 and 61\/3804.\nAnswer: 128187192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 1071494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**3 + 7*q**2 + 26*q - 5. What are the prime factors of i(8)?\nAnswer: 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6998, 7136, 7284, 7448, 7634?\nAnswer: 7848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = h - 285, 5*h + g = -3*g + 1425. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -2561904.\nAnswer: 1\/853968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124972 by -4.\nAnswer: 31243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*68\/(-102).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12556870 is divided by 3139198?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54 or -55615\/1049?\nAnswer: -55615\/1049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*t = -32, -5*h - 5*t - 42 = 8. Let s(z) = z**2 + 7*z - 8. Let p be s(h). Suppose p = -3*o + 57 + 36. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + q - 26, 2*q + 18 = -0*d + 4*d. Solve -d*k + 22 = 4*j - j, -4*j + 3*k - 19 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1424*g - 211*g + 134*g + 1054*g.\nAnswer: 2401*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/1)\/(10\/70). Suppose -5*x + 20 = 0, 3*x = 5*a - o - 11. Solve 2*q = 14 - a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*i**2\/8 + 311175*i\/8 - 22227\/4.\nAnswer: 3*(i + 14818)*(7*i - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nndnnnnddnnndd. Give prob of picking 3 n and 1 d.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 s, and 1 g when four letters picked without replacement from gkfskkkgfsfggfgsgg.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 2*s - 6*s)*(-2*s**2 - 2*s**2 + 6*s**2) - 69*s**3 + 29*s**3 - 159*s**3.\nAnswer: -217*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -79*i**3 - 79*i**2 + 116*i - 38. Calculate x(1).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c**3 - 2*c**4 + 32*c**3 + 13*c**2 - 7 - 37*c**3 in the form o*c + d + z*c**3 + v*c**4 + l*c**2 and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 5:09 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118376061 by -56129.\nAnswer: 2109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241258047.\nAnswer: 3, 29, 2773081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iae when three letters picked without replacement from ddeinenaddnnnead.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*i - 0. Find the third derivative of 2*n**5 + 2*n**3 + n**2 - i*n**3 + n**3 wrt n.\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 5 + 65*c**2 + 2.\nAnswer: 65*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -7929.\nAnswer: -2378.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -5*b**3\/6 - 9*b**2 + 35*b. Let j be o(-2). Is 4\/5 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 18 = -3*s, 131*s + 61 = 129*s - 3*y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 11:17 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 3*t = -0*t - 35, 37 = -3*o - 5*t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.6 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**3\/6 + c**2\/2 + 2*c. Suppose 3*n = 0, n - 16 = -4*h - 4*n. Suppose -r + 2*y - 5 = 0, -2*r - 2 = -0*y + h*y. Give f(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51106 is divided by 282?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4225*c - 4773. What are the prime factors of q(7)?\nAnswer: 2, 12401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from {y: 1, d: 1, f: 1, e: 1, m: 3, s: 11}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 54221149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-6.266.\nAnswer: 18.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8199 + 11626. What are the prime factors of r?\nAnswer: 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 6 = -42 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*t**2 + 7*t - 49*t**2 - 7*t - 34.\nAnswer: 9*t**2 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 25 + 2*d - 20 - 17 + 2*d**3.\nAnswer: 2*d**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 5*y**2 + y + 1. Let v(o) = 2*o**3 + 6*o**2 - o - 1. Determine 4*l(d) + 3*v(d).\nAnswer: 2*d**3 - 2*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -130.4 (b) -0.5 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 5*i + 6. What is b(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 27. Calculate the highest common factor of 88 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 h when two letters picked without replacement from hqh.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15796 - -5\nAnswer: -15791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + sqrt(17) + (sqrt(17) + 1)**2 + 2) + (sqrt(425) - (sqrt(425) - (sqrt(425) - (sqrt(425) + 0))**2*1)) + -2 + (sqrt(425)*-2 - sqrt(425))**2 + 0.\nAnswer: 6*sqrt(17) + 3857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103 + 4211001?\nAnswer: 4210343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-2 - -8)) + 7 + 32.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**3 - 4*w**2 - 3*w. Let p be b(-2). Let j(q) = -16*q - 8. Let s(z) = z + 1. Give p*s(i) + j(i).\nAnswer: -10*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.85383 millennia in decades?\nAnswer: 8885.383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/1981584 and 67\/225180.\nAnswer: 9907920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**3 - 3*m**2 + 2*m - 4. Let z be u(2). Solve -z*v + 2 = -10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -604, -5, 2, 11, -9 in ascending order.\nAnswer: -604, -9, -5, 0, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1576 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/7)\/l)\/l**(-5\/12) assuming l is positive.\nAnswer: l**(-85\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4) + 1177\/(-484). Let t be (-2)\/(-8) - 9\/4. Is t at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f + 125 = 6*f. Suppose 2*m = f*v - 1108, 860 = 8*v - 4*v + 5*m. What is the lowest common multiple of 14 and v?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hvgxhvvhkgexx. Give prob of picking 3 v and 1 g.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55\/63 + -23\/21. Let n be (2*(-2)\/(-4))\/(-1). Do x and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 3, -40 in descending order.\nAnswer: 3, 1\/2, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6*d**3 + d**2 - 4*d + 15. Let o(v) = -v**3 - v. Determine a(t) - 4*o(t).\nAnswer: -2*t**3 + t**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 - (56 - 95) - -64?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-483)*(-777)\/555?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -141275267600 to the nearest 1000000.\nAnswer: -141275000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k**2\/7 - 1066*k\/7 + 1065\/7 = 0. What is k?\nAnswer: 1, 1065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 - 6*v**2 - 38*v - 188. Determine a(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/8 of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 125*q**3 + 862853*q**2 + 4452*q + 1559?\nAnswer: 750*q + 1725706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2738.43567 and 0.1.\nAnswer: 2738.53567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 5*u + 21824, m + 2122 = 3*u + 13023. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-18))\/((-118*6\/(-12))\/(-3))\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -4604 and -5397 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 4*g + 0*g)*(-179 - 247 - 413).\nAnswer: 839*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 11:57 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -120\/13, -803, -2\/21, 4\/3 in descending order.\nAnswer: 5, 4\/3, -2\/21, -120\/13, -803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18787878?\nAnswer: 2, 3, 61, 71, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2925)\/1365 + 72\/56\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a72 - -3103?\nAnswer: 2471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 3\/8 (c) -2\/53 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, r: 2, c: 11, h: 1, u: 3}. Give prob of sequence ici.\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2060203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3134 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1622 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -678563*b**2 + 339372*b**2 + 9*b**3 + 339191*b**2.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -109697\/13837746 - 78\/4327. Find the common denominator of s and 38\/9.\nAnswer: 9594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {q: 1, s: 4, g: 1, p: 5}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -54*p - 4680. Give f(-90).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -1bbac8?\nAnswer: 1bbacc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-80))\/(44\/(-16) + (-6 - -9)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 61. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**5 + 5*x**4 + 363*x**3 - 815*x**2 + 541*x - 90 = 0. Calculate x.\nAnswer: -10, 1\/4, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 66 in 0.08, 1\/6, 1.1, -2\/5, -1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o - o - 2*o + (36 + 60 + 69)*(o + 4*o - 3*o).\nAnswer: 325*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -1\/4 (b) 2569 (c) -1 (d) 2\/21 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 5 (b) 1\/8 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5167254 is divided by 206688.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*w + 9*w - 39*w + 10*w + 6*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119071141 to the power of 1\/2, to the nearest integer?\nAnswer: 33453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - f**2 + 5*f + 2. Let t = -21 + 18. Let a be k(t). Solve -8*u + 10 = -a*v - 3*u, -4*u - 12 = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336581 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -642588*u**2 + 214678*u**2 + 213232*u**2 + 214679*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 12545.3907 to the nearest 10.\nAnswer: 12550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 430 = 6*f + y, f - 5*y = 86. Calculate the remainder when 254 is divided by f.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -283\/6 + 47. Let d = 9 + 11. Let t = 19.6 - d. Put -7, t, h in increasing order.\nAnswer: -7, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b - 14. Let q be w(6). Let h(r) = r**3 + 8*r**2 + r + 11. Let d be h(q). Calculate the least common multiple of 1\/(1\/(d + 0)) and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -563637 + 1127314 + k - 563661.\nAnswer: k + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 67, 68, 69, 70, 71, 72?\n\"Answer: u + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 16534\nAnswer: 16534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 161.5246km in millimeters?\nAnswer: 161524600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 7. Let x be q(-3). Let m = x + -9. Suppose -26*v - 64*v - 41*v = 0. Which is the closest to -1? (a) 1 (b) v (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75511\/44696262 - -1\/37154. Suppose -27 = 19*u - 46. Which is smaller: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55040.057 - 240019\nAnswer: -295059.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -2 (b) 32 (c) 2\/7 (d) -2\/179 (e) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29540571 is divided by 7385136?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181, 360, 539, 718?\nAnswer: 897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -363814 (base 9) to base 11.\nAnswer: -13a89a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*2*(-4)\/(-6). Suppose c*n = o + 1, 3*n - 2 = n. Suppose y + 12 = 5*y. Solve 5*g + z - 19 = 0, -o*g + 6*g = 3*z - y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l - 19. Let p be x(-8). Suppose 4*s + p*t = -1, 2*s + 25 = 7*s + t. What is the remainder when 11 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 513723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 6000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0.08, -279, 2, 0.5 in decreasing order.\nAnswer: 2, 0.5, 2\/5, 0.08, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewg when three letters picked without replacement from {m: 1, e: 4, g: 3, f: 2, w: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9.107728 milligrams?\nAnswer: 0.000009107728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 480 divide 4320945525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -8*r + 12. Is (-1 + r)*1085\/15 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 107 + -27. Let j be (-2)\/((-4)\/2)*(-32 + -5). Let o = x + j. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -897 and 0.056?\nAnswer: -50.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 118?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 + 3*u - 23 + 24 - 4 - 2*u + 4 + (-3 + 2 + 2)*(u - u - 2*u) - 2*u + 3*u + u to the form f + y*u and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (150\/30)\/(10\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 - 10*b**2 - 3*b - 10. Let z be r(-5). Suppose -z*j - 44 = -24. Let o(s) = -26*s + 32. What are the prime factors of o(j)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -30?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**29*q*q*q**12\/q assuming q is positive.\nAnswer: q**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 34*g**2 - 9*g + 16. Is m(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 3, k: 5, n: 2, u: 1}. What is prob of sequence kx?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17027*i - 2502*i + 929022 = 659*i for i.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14779781, 14779782, 14779783, 14779784, 14779785?\nAnswer: 14779786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8531353 is divided by 2843779?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 370438 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.27 + 4.76. Round q to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f**4*m + f**4 + 52*f**3*m - 3*f**2*m - 65*f**2 + f + m wrt f?\nAnswer: 96*f*m + 24*f + 312*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 z when two letters picked without replacement from iddiidizdzdidkidzd.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1279 + -2161?\nAnswer: -340a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*g**3 - 9800\/3 - 35\/2*g + 9*g**2.\nAnswer: -(g - 35)**2*(g + 16)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 9*c + 4. Suppose -4*n + 1 = 2*q + 33, -q = -2*n. What are the prime factors of w(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 19*s + 116. Suppose -8*r = 326 - 254. Calculate h(r).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2612 + 5639*m**2 - 2362*m + 14*m**3 - 10433*m - 4349*m**2 + 1045*m + 7834*m**2 = 0.\nAnswer: -653, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 234481, 937319, 2108715, 3748669, 5857181, 8434251?\n\"Answer: 234279*z**2 + z + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 66.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-8)\/(-6))\/(1862\/399)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -58. Let a be (-198)\/g - -5 - (-2376)\/14. What is the greatest common divisor of 68 and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19\/3? (a) 2 (b) 4 (c) 2\/9 (d) -0.1 (e) 1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + 4 + sqrt(1573))*-1)**2*4.\nAnswer: 704*sqrt(13) + 25232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 14) in base 7?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15526 divided by 237\nAnswer: -15526\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**2 + 10*b**2 + 8*b**2 in the form g + s*b**2 + c*b and give s.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 1) + (-63 - 3). Let d = 141 + h. Is d a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/3*9\/(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q - 663 = -25*q + 525 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1610*g + 309*g + 148*g + 413*g + 1655*g to u*g + h and give u.\nAnswer: 4135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 14. Suppose -15 = -u - 2*u. What is the second derivative of d + n*d**u + d + 2*d**5 - 4*d wrt d?\nAnswer: 100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2788 and 9724.\nAnswer: 398684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 13659560 to the nearest 100000.\nAnswer: 13700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 8. Solve 0 = -2*h, -4*o - k = -5*h - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*i - i - 2*i)*(-2*i + 0*i + i) + 0 - 3 + 4*i**2 - 2*i**2 to t + v*i**2 + b*i and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 40. Let b be 96\/(-216) + (1865\/45 - 3). Determine d(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -319*l + 272*l - 326*l - 194*l - 26649 for l.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 20 = 0, j = 4*m + 5*j. Let f be (-1 + 0 + -2)\/(-4). What is the biggest value in f, -0.06, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b + 4 + 1 + 0*b - 4. Let w(y) = -3*y + 1. Suppose 3 + 22 = 5*v. What is v*p(f) - 4*w(f)?\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*p - 5. Solve 0*y**3 + 4*y + 0*y - 6*y**2 + p*y**3 = 0 for y.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 - r**3 + 2*r + 9 + 2*r**3 + (4*r**2 + 3*r**2 - 6*r**2)*(2*r + r - 5*r).\nAnswer: -r**3 + 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90 - -359\/4. What is the closest to g in 0.6, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35806697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-544)\/24*-1*3 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 409939361 take away -0.440462?\nAnswer: 409939361.440462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1102400400 - -1?\nAnswer: -1102400344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -441601, -441599, -441597, -441595, -441593, -441591?\n\"Answer: 2*p - 441603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 365781*p**2 - 365781*p**2 - 26*p**4 + (0*p - p**2 + 0*p)*(68*p + 4*p**2 - 68*p) in the form v*p**3 + n*p**4 + f*p**2 + u*p + a and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -x, 2*x - 6*x + 10 = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 1:02 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*s**5 - 282*s**2 wrt s?\nAnswer: 1800*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2653819 rounded to the nearest ten thousand?\nAnswer: 2650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 3*q**2 + 11*q + 28. Calculate a(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 1. Let v(n) = -3*n - n + 0*n. Suppose 0 = -3*u - 2*y + 4, u + 0*u - 7 = 5*y. Determine u*r(h) - v(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 - 40. Suppose p*f = 4*f - 10. Sort f, 5, 2, 0.4 in decreasing order.\nAnswer: 5, 2, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -35*c - 1\/30*c**7 + 1\/24*c**4 + 2*c**2 - 13\/3*c**3 + 0 + 0*c**5 + 0*c**6. Find the first derivative of w(u) wrt u.\nAnswer: -28*u**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ffdttfddffdfdf.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25b54 + 401?\nAnswer: 26255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*a - 485 = 86*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 679426068.\nAnswer: 679426068.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165796*m**3 - 5653*m**3 - 30488*m**3 - 8020*m**3.\nAnswer: -209957*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -4. Let y = 44 + -44.1. Which is the nearest to x? (a) y (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*15.1\nAnswer: -6.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, c: 16}. Give prob of picking 1 c and 1 k.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/7*8*(-168)\/(-384).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 19. Let j be -5 + l\/3 + -115. What is the tens digit of (-8)\/(-14) - 9095\/j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 18*k - 18. Let f be s(6). Let b = f - 84. Suppose 0 = -0*r - b*r + 1386. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -7. Let g(q) = n*q + 1 + 8*q + 0*q. Is g(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 6 - 6)*(-33 + 7 - 6).\nAnswer: -32*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 3)*(0*r**5 - 3*r**5 + r**5) + 5*r**5 - 3*r**5 + 4*r**5.\nAnswer: 10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301 + -3?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 4689.\nAnswer: -1\/1563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 554423427 < 554423427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1030 by 2.\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*p = -32, l + 4*p + p + 24 = 0. What is the lowest common multiple of 2404 and l?\nAnswer: 9616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309015 >= 2163102\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17645055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 4. Let b be k(-4). Suppose 0 = 3*m + 3*s + 5697, b = -s - 2. Let z = m + 15261\/8. What is the common denominator of -23\/22 and z?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) + -5*sqrt(33)*-3)\/(sqrt(110)\/(sqrt(80)\/sqrt(8))))**2*4.\nAnswer: 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6233, -6213, -6191, -6167, -6141?\n\"Answer: d**2 + 17*d - 6251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000111 + 11111011010?\nAnswer: 11000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**4 - 4796*l**3 + 165966*l**2 + 1434224*l - 1595392 = 0.\nAnswer: -2432, -8, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-6)*c)**(-2\/17)*(c**(-2\/15)*c)**(2\/23) assuming c is positive.\nAnswer: c**(-5078\/5865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*r + 10. Let i be (-1 - r)\/(-1) - 0. Let x(g) = -55*g - 1. Let b be x(i). Round b to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - y**2. Let z = 118 + -119. Let p(l) = -8*l**2 + l. Let o(b) = z*r(b) + p(b). Find the second derivative of o(n) wrt n.\nAnswer: 6*n - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 7*y**2 + 230*y - 16. Give z(-33).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000991471 rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7ad (base 16) in base 13?\nAnswer: b82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -8 - (-10 - 9)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/91*-3*(-35)\/810.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyjpyfp. Give prob of picking 2 y and 1 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (5 - 6)) + 209 + -215.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3044 and 75406729.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/4 + 18853*q**2\/2 - 113127*q\/4.\nAnswer: q*(q - 3)*(q + 37709)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 + 67201100*d + 564498480151250.\nAnswer: 2*(d + 16800275)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*0.74.\nAnswer: -0.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 24 = -0*i. Suppose i*v + 3*g + 224 = 4*v, 0 = 5*v - 3*g - 1132. What are the prime factors of v?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z + 11. Let q(r) = 2*r + 6. Let n(d) = -4*i(d) + 9*q(d). Differentiate n(p) with respect to p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (636\/53)\/((-6)\/4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -63102062 and -0.0592?\nAnswer: 63102061.9408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q - 37. Let l be b(-7). Is -3 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1))\/(p*p\/p**(3\/8))*(p*p\/p**(3\/4))\/p*p**(-1)\/p assuming p is positive.\nAnswer: p**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/7*m**2 + 40\/7*m - 200\/7 = 0. Calculate m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/7))\/k)\/(k*k**(-7))*k**3\/k*k**6*(k\/(k\/(k\/(k*k\/(k*k**2)))))\/((k\/k**1)\/k)*(k**(1\/10)\/k)\/(k**1\/k) assuming k is positive.\nAnswer: k**(1137\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 8:08 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 13*c**2 - 15*c + 31. Determine g(-12).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyfyyiyyyyuyyfyuuuy. Give prob of sequence yfy.\nAnswer: 110\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 2*m + 10. Let n be (-12)\/(-3) - (-1)\/((-1)\/2). Suppose -55 = -n*y - 65. Is p(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**2\/2 - 8*j - 2. Suppose 2*s - 5*y - 35 = 0, -6*y + 11*y - 5 = -2*s. Suppose 15*q + 30 = s*q. Calculate k(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -5 (c) 2\/605 (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 12 + 7*h**3 - 6*h**3 - 2*h**2 + 2*h - 2*h**2 - 18*h. Let o be s(5). Let g = 83 + o. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from {b: 1, w: 3, d: 5}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*140\/168)\/(4 + 283\/(-72))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, 55, -3227 in descending order.\nAnswer: 55, -1, -7, -3227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 131, 336, 615, 968, 1395, 1896?\n\"Answer: 37*v**2 + 94*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**3 - 4*l**2 + 5*l + 2. Let x be k(3). Differentiate 119 + 9*u**2 + x - 368 - 2*u**3 wrt u.\nAnswer: -6*u**2 + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/8, -561.1, -1?\nAnswer: -561.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302206.\nAnswer: 2, 53, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = -44269*f + 44276*f for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 take away -0.211073?\nAnswer: 89.211073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1315 + -585. Suppose 3*l = -4*z + r, 2*z - l - 374 = 2*l. Is z a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -980873 (base 12) to base 6\nAnswer: -123325423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 22462.\nAnswer: 112310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 644239 is divided by 25769?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -0.99. Let v = 4.01 + r. Which is the closest to 0.1? (a) 1\/6 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9c (base 13) to base 9.\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, m: 3, s: 8, g: 2, q: 4, p: 1}. Give prob of picking 1 w and 1 g.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22\/155 + -8\/31. Let q = -20941\/7 + 217324\/77. Let p = q - -169. What is the biggest value in p, -2\/9, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -183344122*f**3 + 7913*f**2 - 13981 wrt f?\nAnswer: -1100064732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21333032223 (base 4) in base 9?\nAnswer: -4830543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109045 and 1695?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h + 19. Let o be w(-8). Suppose -v = -o*r - 307, -v = -2*r + r - 301. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*v - 21 = -38*v + j, -30*j + 130 = -5*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 67*j**3 - 3*j**2 + 3*j + 4. Calculate y(-1).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68725, 137027, 205329, 273631, 341933?\nAnswer: 410235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18545395 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzalzazvg. Give prob of picking 3 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1557 and 0.089.\nAnswer: 138.573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**5\/20 - b**4\/3 - b**3 + 11*b**2\/2 + 8*b. Let c be s(5). Suppose 0 = -c*p + 479 - 47. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -4.07. Let c = -4.93 - r. Let y be (-66)\/(-18)*2\/((-20)\/15). What is the second biggest value in -0.5, 5, y, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - -3.7. Let x be (-6)\/(-12) + (-3)\/2. Which is the third smallest value? (a) -2 (b) x (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 7*d**2 - 10*d. Let l be j(7). Let a = l + 112. What is the highest common divisor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2660)\/(-175) + -2*(9 + 0)\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 284765, 284813, 284887, 284987, 285113, 285265, 285443?\n\"Answer: 13*g**2 + 9*g + 284743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**7*k**(-7)*k**7\/k*k**(-3\/7)*((k**(-3)\/k*k)\/k**(-6))\/(k**5\/k**(-1\/8)) assuming k is positive.\nAnswer: k**(193\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + a + 1. Let p(y) = -580 - 11*y + 2*y + 561 + 4*y**2. Let b(g) = 2*p(g) + 6*v(g). Factor b(t).\nAnswer: 2*(t - 8)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 264 - 253 = 3*x, 29 = -5*l + 12*x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 23 = -3*x - 2, -5*x = -5*h - 40. Let t(c) = c**2 + 15373 - 4*c - 15373. What is t(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 178128 and 96?\nAnswer: 356256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 l, and 1 x when three letters picked without replacement from {u: 3, l: 6, x: 5, e: 2, p: 1, s: 3}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - 17c?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1222)\/(-156) - 9)\/(3\/2). What is the nearest to -2\/9 in 4, p, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -5) + -3 + 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((1 - (-50)\/(-30)) + 965)*39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -7 + -11 + (-11 + 22 - 6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**3 + 120*u**2 + 255*u + 130 = 0.\nAnswer: -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + (-6*-1*sqrt(209) + (sqrt(209) + 1*sqrt(209))*5)\/(((-1*sqrt(264))\/sqrt(6))\/sqrt(4)).\nAnswer: -16*sqrt(19) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 20*d - 41. Let y be c(-22). Let j be 1 + 1\/((-2)\/2). Differentiate -1 + y*n + n + j*n with respect to n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 386 divide 552636763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = 23*d - 18*d - 2*q, -3*d - 5*q + 65 = 0 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -97.4 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 42 + 29*p - 9*p.\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 2*p = -2, 5*p + 4 = -2*l + 9*p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-14))\/(28\/32).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 0 + 1\/6*s**3 + 4*s + 0*s**2. Let t(i) = -2*i. Let w(y) = y. Let x(b) = -t(b) - 3*w(b). Determine 7*q(o) + 6*x(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -198141259 and 14250.\nAnswer: -198127009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141308?\nAnswer: 2, 35327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 2:14 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -11*c + 109. Determine t(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*s**3*t**2*w - s**3*t + 56*s**3*w - 9*s**2*t*w wrt t.\nAnswer: 28*s**3*t*w - s**3 - 9*s**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.1, -4\/5, 5, -11761?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/9)\/b)**(-5\/2))**(-19\/7) assuming b is positive.\nAnswer: b**(-95\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from {v: 4, s: 2, r: 5, n: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 11:07 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -s - 2, 1 = -4*w - 2*s - 3. Is w at least as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14100 (base 6) to base 2.\nAnswer: 100010010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 5 - 5)*(10 - 4*q**2 - 10) - 90*q**3 + 84*q**3 + 37*q**3.\nAnswer: 35*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 0.48 (c) 5 (d) -26 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/(-56)*(0 - -77) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/1892 and 89\/554.\nAnswer: 524084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -706.76 + 789. Round p to 0 decimal places.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s + 2*s - 172*s**3 - 62*s**2 + 63*s**2 in the form p + y*s + i*s**3 + h*s**2 and give i.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 628732232 to the nearest integer?\nAnswer: 25075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b - 78. Give l(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3.314+-3.3638875\nAnswer: -6.6778875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 7\/32*r**4 - r + 1\/480*r**6 + 0 + 3\/4*r**3 + 1\/30*r**5 - 176*r**2. Factor i(m).\nAnswer: (m + 2)*(m + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 135\/18 - 8\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588965964 a multiple of 1699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 13*v**2 - 12*v + 2. Let f(t) = 7*t**2 + 2 - 6*t - 6*t + 0 + 5*t**2. Let i(p) = 5*f(p) - 6*n(p). Factor i(x).\nAnswer: -2*(3*x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -793*l**3 - 7*l**2 - 6*l + 6. Let o(s) = -794*s**3 - 6*s**2 - 5*s + 5. Calculate 5*m(k) - 6*o(k).\nAnswer: 799*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5820 divided by 295\nAnswer: -1164\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 67658093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 5. Let k be q(4). Let d = 9 - k. Suppose 2*m + 0*m = 8. Solve 0 = -4*s + m*l - d*l - 12, -s = -5*l + 23 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 52*a + 581. Let s be p(36). Do 22\/5 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-40))\/((-10)\/50)*(-21)\/(-1218)?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.06+-43316961618.8\nAnswer: -43316961618.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -379295 greater than -1517181\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -98166 at least as big as -98167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*r + 92*r - 3219*r - 4915*r - 782*r.\nAnswer: -8749*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 97*o**5 - 200*o**2 wrt o.\nAnswer: 5820*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 15. Suppose -8*z = -7*z. What is the tens digit of s(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2705 + 2746. Calculate the remainder when s is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4*sqrt(76)\/sqrt(4) + (-1 + sqrt(684) - (-2 + sqrt(171))))**2.\nAnswer: 6*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 1525 and 157451.\nAnswer: 158976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r**3 + r**2 + 14*r - 14. Let z be q(1). Solve -z - 2 = 9*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 6*v = -12*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**5\/7 - 22*h**4\/7 - 54*h**3\/7 - 50*h**2\/7 - 16*h\/7.\nAnswer: -2*h*(h + 1)**3*(h + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**5\/60 - 11*k**4\/24 + 16*k**3\/3 - 98*k**2. Let j be b(4). Which is smaller: 26\/7 or j?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**3 - 5 + d**2 - d**2 - 11.\nAnswer: 5*d**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -7 + 6 - -6 - (22 + 5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/30 and -58\/845.\nAnswer: 5070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*l\/(l\/(l**12\/l)))))**(-37))**(1\/23) assuming l is positive.\nAnswer: l**(-444\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-60)*-6)\/(18*(-10)\/(-40))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 - (-54)\/(-13).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 17829 divided by -283\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**6\/30 - x**3\/2 + x**2\/2 + 7*x. Let f(h) be the first derivative of r(h). What is the derivative of f(z) wrt z?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 97400*y**2 - 32378*y**2 - 32504*y**2 - 32520*y**2 - 2*y.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 280 + -277. Suppose s*z - 156 = 5*m, -5*m = 3*z - 9*m - 153. Calculate the greatest common divisor of 235 and z.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**3 + t**2 - 4*t - 6. Let d be q(-8). Let n = d - -1401. Suppose -3*w + n + 106 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**4\/12 + 7*h**3 + 9*h**2. Calculate the remainder when k(-10) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8604.000004233 + 8604. What is s rounded to seven decimal places?\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(2)*-4)\/(sqrt(54)\/(sqrt(24)\/sqrt(4))) - ((sqrt(605) - (((sqrt(605) + 1)**2 - sqrt(605)) + -4)) + -1).\nAnswer: -4*sqrt(5) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (0 - -4 - 0). Let p = 0.1 + 0. Let r = 10.42 - 10.82. Which is the nearest to 2? (a) p (b) j (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 4*t**2 + 3*t - 6. Let l be k(4). Suppose -3*h + l = -h. Let g = -3 + h. Solve 0 = 3*y - 5*d - 5, -2*d + 6 - 2 = g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4803, 4804, 4805, 4806?\n\"Answer: z + 4802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t. Let k(w) = 12*w - 21. Let z be k(3). Suppose 2 = -p + 4. Let d(b) = -z*b**2 + 19*b**p + 10*b**2. Determine f(d(l)).\nAnswer: -42*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-732)\/(-16) - 3\/4. Let b be (f\/(-6))\/((-3)\/54). Suppose 32 + 31 = 5*i - 3*n, 4*i + 5*n = 80. What is the greatest common factor of i and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2978211 is divided by 215?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 162*i - 2862. Let k be f(20). Which is the biggest value? (a) -12 (b) k (c) 0.3 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 20 = -2*k. Suppose a + 1 = -0*a - v, -3*a + k*v = -5. Solve a = -2*r + 1 + 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5360031 divided by -1531\nAnswer: -3501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.42481549 to 2 decimal places.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 17.58 * -31.6\nAnswer: -555.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -12.2. Let n = u + -0.7. Is -6 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4567.155mg?\nAnswer: 0.004567155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, -0.1, -5, 5 in ascending order.\nAnswer: -5, -0.1, 1.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 266*v - 265*v + 39 - 7 to a + m*v and give a.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10601740.\nAnswer: 2, 5, 530087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -299292 divided by 24.\nAnswer: -24941\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 195*k**2 - 13336*k - 103500.\nAnswer: (k - 250)*(k + 9)*(k + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -254, -263, -280, -305, -338?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1038, 2433, 3852, 5301, 6786, 8313, 9888, 11517?\n\"Answer: w**3 + 6*w**2 + 1370*w - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 555032 and 7432.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**4\/2 - o**3 - 5*o**2\/2 + 2*o. Let u be v(-5). What is the common denominator of -43\/10 and 2\/6 + u\/(-48)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + p - 3. Let b be r(-2). Find the third derivative of -2*m**b - 3*m + 3*m - 11*m**2 - 11*m**3 wrt m.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-111)\/1 + (-545 - -628).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 431*l**2 - 1357*l wrt l.\nAnswer: 862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**5\/100 + 6*u**4\/5 + 113*u**3\/10 + 134*u**2\/5 + 6042*u. Factor q(a).\nAnswer: (a + 1)*(a + 4)*(a + 67)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l. Let s(m) be the second derivative of 0 + 7\/6*m**4 + 0*m**3 + 0*m**2 + m. Determine s(z(p)).\nAnswer: 56*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 220603977*n - 220603980.\nAnswer: 3*(n - 73534660)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 h, and 1 p when three letters picked without replacement from ggprqphgrcpppr.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 32, -350.\nAnswer: -350, -4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*i**4 - i**2 + i**2)*(5*i - 3*i - i) + (19*i + 8*i - 11*i)*(0*i + 2*i**2 + 0*i)*(2*i**2 - 5*i**2 + 5*i**2))*(-62 + 69 - 96).\nAnswer: -5518*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2235205507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 19 - 9. Let n be 2 + (2 - (-1 - -1)). Suppose q + 4*v = 22, 0*q - 2*q + 28 = n*v. Solve f*j - 5 = -3*g, -q*j + 3 = -2*g - j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4)*j*j**3*j)\/(j**5*j**(-3\/8)) assuming j is positive.\nAnswer: j**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3 + v - 4 - 3 + 3. Give j(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 32. Let s be y(25). Solve -3*r - 18 = -a - s, 0 = 5*a + 3*r - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, n: 9}. What is prob of picking 3 n?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 2:36 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 18*b**2 - 65*b + 41. Let t be z(21). Are 2\/5007 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (((-62748)\/90)\/7)\/(2\/(-135))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/9)\/((30\/(-18))\/(-5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 8*r**2 - 2*r + 2. What is q(-3)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 27185*x**3 + 244662*x**2 - 26*x + 6. What is i(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ununuunuuunnuu. Give prob of picking 1 u and 1 n.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2323 (base 4) to base 3\nAnswer: -20221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 32 - 40. Solve i*h = -18 - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = t - 80 + 494, -4*t = -2*h + 402. Is h at least 211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.259418s to milliseconds.\nAnswer: 259.418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/200896 and -31\/8170?\nAnswer: 19085120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2 + 0*y + 3 + y. Let r(w) = 5*w + 6. Let c be (2\/(-8) - -3)\/(7\/(-28)). Let f(m) = c*g(m) + 2*r(m). Calculate f(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 18*x + 19. Let g be a(13). What is the common denominator of 75\/14 and 78\/(-16)*g\/(-18)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -33 + 4 + -1 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 14*v + 8. Let c be m(8). What is the common denominator of 55\/28 and -2 + 1 + 425\/c?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 1. Let w(d) = 7*d**2 - 3. Let u(m) = 2*t(m) - w(m). Give u(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -1 + 4. Let c = -24 + 41. Calculate the remainder when c is divided by v\/4 - (-21)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6303 (base 11) in base 13?\nAnswer: 3a56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17*28\/(-560)*10\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 418*i - 1709. Determine w(4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58824648 to the power of 1\/2, to the nearest integer?\nAnswer: 7670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22.1, 1, -131, 0.\nAnswer: -131, -22.1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 5857*c**5\/60 + c**3\/6 + 423*c**2 - 6. Let r(x) = -2*x. What is i(r(k))?\nAnswer: 23428*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 254 + 31817. Does 41 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 - m**3 + 55*m**4 - 57*m**4 + 6 to the form v*m**3 + i*m + b*m**2 + w + x*m**4 and give w.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 u when two letters picked without replacement from {u: 1, i: 1, t: 1, m: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 272614.731 and -3.\nAnswer: 272611.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 9:58 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1595159695 to the nearest integer?\nAnswer: 39939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 401 + 320?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 3) + -2 + 879\/8. Let f = -109 + h. Which is the fourth biggest value? (a) f (b) 2\/19 (c) -2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1344296 and 1944.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -39610577.\nAnswer: -1\/39610577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74658.46l to millilitres.\nAnswer: 74658460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - w**4 - 4*w**3 + 9*w**2 + 4*w**3 - 6*w**2 to the form d*w + l + v*w**4 + g*w**3 + h*w**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/8*1*-13. Suppose 5*f - 111 = -k. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 k when four letters picked without replacement from {a: 2, r: 7, k: 6}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5*w + 850 = 0. Suppose 3*d - 3 = 0, -2*a + 4*a - 2422 = -4*d. Let k = a - w. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 12) in base 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -333*r**4 + 2*r**3 + 8*r + 155. Let y(u) = u**4 + u**3 + 4*u - 2. Let b(i) = 2*w(i) - 4*y(i). Differentiate b(q) wrt q.\nAnswer: -2680*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21 + -5 + 2\/1. Factor -7 + 4*l**2 - 4*l + f + 4*l**3 - 15.\nAnswer: 4*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + l - 3 + 31 = 0, 5*c = 5*l + 35. Suppose c*m - 224 + 91 = 0. Let n(p) = p - 15. Let r be n(15). Put -3, m, r in decreasing order.\nAnswer: m, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*l = -3 + 1, -4*l = 0. Suppose 3*d + 165 = u*b - 0*b, 381 = 5*b + 3*d. What are the prime factors of b?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 302*n**4 + 717*n**2 wrt n?\nAnswer: 7248*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 = 39\/145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 54*n - 204. Give v(5).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0155 + -0.3145. Let l = -71.3205501 - -71.65055. Let m = d + l. Round m to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a millennium in decades?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiwiiiwiwi. What is prob of sequence wiii?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38565443?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0416986736 rounded to five dps?\nAnswer: -0.0417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*(2 - 112\/55). Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234*j + 9*q = -229*j - 15465, -4*j + 12372 = q. Calculate the remainder when j is divided by 341.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/10)\/((-832)\/(-20800))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1500331138.26 + 2984\nAnswer: 1500334122.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 <= -15.933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2 = -2*z + 16, 0 = r + z - 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -21. Suppose -4*l + 5*v + 13 = -w, 0 = -l + 4*v + 16. Suppose -l*r = -8 + 28. Is -4 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2022256 (base 7) to base 14.\nAnswer: 63b2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-4*c**5 + 3*c**5 - c**5) + 2*c**3 + c**5 - 2*c**3 + (1 - 5 + 3)*(0*c**5 - 2*c**5 + 0*c**5) + 2*c**5 + c**5 - 2*c**5 - 194 - 25*c**5 + 194.\nAnswer: -19*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 144639, 5, 4 in increasing order.\nAnswer: 4, 5, 144639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/4, -5, 0.1, -9\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 291*a**4 + 299*a**4 - 2 - 453*a**4 - 4*a**2 + 2*a**3 to the form i*a**2 + p*a**4 + g*a + v*a**3 + t and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2294490 to the nearest 10000.\nAnswer: 2290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 147674674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25153 to the power of 1\/2, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 9*h + 0*h)*(3*h + 5*h**2 - 19 - h + 21).\nAnswer: 25*h**3 + 10*h**2 + 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1736?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 102559*t - 4 - 32255*t.\nAnswer: 70304*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 66 + 4. Solve 5*r - 1 = 3*t + f, 0 = 3*r - 2*t - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -11*p**3\/3 + 618. Let s(x) = 53*x. What is m(s(k))?\nAnswer: -30899*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 904123342 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r = 13*r + 120. Let i be (3 + -1 - 3)*r\/(-5). Solve 5 - 13 = i*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/17)\/j*j**4)\/((j\/j**(11\/6))\/j*j*j\/(j\/(((j**(19\/2)\/j)\/j)\/j))) assuming j is positive.\nAnswer: j**(-142\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -22*b. Let k(q) = -q**2 + 13*q. Determine j(k(r)).\nAnswer: 22*r**2 - 286*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -20. Suppose 2*b - 2 = -4*y - w, y + 1 = -3*b. What is the units digit of 161 - -1*0\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 14 = 7*i - 10*i, -111*i + 114*i = -4*l - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5780616 to 4 dps.\nAnswer: -1.5781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2283382271.\nAnswer: 191, 62591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 212330154061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22949 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1121111001011 (base 3) to base 9\nAnswer: -1544034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a milligram in micrograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-13) + ((-6)\/39)\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -0.2, -0.4, -0.5, -0.002?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0438260237 to 6 dps.\nAnswer: 0.043826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 62*m**3 - 10*m**2 - 48*m + 292. What is the tens digit of n(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278136441 a multiple of 5309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -99480 by -3.\nAnswer: 33160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + z = -40. Let t be (z\/3)\/(4\/(-6)). What is t rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 1208*z - 2396*z + 1191*z. Let m(b) = 354*b. Determine k(m(h)).\nAnswer: 1062*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 80*q**2 + 8*q - 9. Let l(n) = 161*n**2 + 19*n - 18. Let o(r) = 2*l(r) - 5*m(r). Find the second derivative of o(y) wrt y.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11881 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7697\/4710 + 42\/157. Find the common denominator of d and 115\/216.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(6\/5)*v*(v*v\/(v\/(v**(3\/4)\/v))*v*v)\/v assuming v is positive.\nAnswer: v**(79\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -206, -741, -1602, -2783, -4278, -6081?\nAnswer: -8186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 81734 (base 12) in base 10?\nAnswer: 168664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -6*h**4 - 2*h**3 - 2*h - 2. Let t(d) = -25*d**4 - 9*d**3 - 7*d - 9. Let r(q) = -18*i(q) + 4*t(q). What is the second derivative of r(v) wrt v?\nAnswer: 96*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**3 - n + 4. Let g = -4 + 0. Let h(p) = -7*p**2 + 2. Let i(a) = g*h(a) - 10*u(a). Find k, given that i(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 + 142214?\nAnswer: 142231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-32)\/(t\/(t**(4\/35)\/t)))\/((t\/(t**(4\/3)*t))\/t**23))**(-11) assuming t is positive.\nAnswer: t**(11033\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -70, -126, -182, -238, -294?\n\"Answer: -56*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((0 + sqrt(300))**2 + 1) + 2.\nAnswer: -1503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 + 0*j**2 + 0*j**2 + (j**2 - 4 + 4)*(-2 + 5 + 1) + 0*j**2 - 5*j**2 + 4*j**2 to f + d*j**2 + i*j and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b. Let h(s) = 9376*s - 18573*s + 9345*s. Calculate h(v(x)).\nAnswer: -148*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -v - 4*m, -m + 32 + 39 = -10*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19 - 26 + 6*q**2 + 22*q**3 - 6*q**2 with respect to q.\nAnswer: 66*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2497 - 2481. Solve -z = -6*z - 2*h - s, 4*z + h = -14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -819*y - 31498 = -1590 + 10223 for y.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*(sqrt(192) + -2) - ((-1*sqrt(192) + sqrt(192))**2 + 1)*-3.\nAnswer: -27 + 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eubebbbbbbbrbuuurrb. Give prob of sequence re.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1153.3 - -1154.6. Suppose i - 3*i + 6 = 0. Suppose -z + 2 + 3 = 0. Which is the closest to 0? (a) z (b) i (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-640)\/(-64) + 6 + -37.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -247234 less than -247237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3154 is divided by 121.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69 or -881?\nAnswer: -881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 11:03 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*q + 281, -5*q = -5*c - 2*q - 1444. Let a = -204 - c. List the prime factors of a.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -51939.796?\nAnswer: -51941.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 3, e: 4, l: 7, d: 2, x: 1, j: 1}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 705 - 398. Let y = w - 69. Let q = -93 + y. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -433a9 (base 11) to base 5\nAnswer: -4004124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10095 = t - 11892. What is the remainder when t is divided by 200?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/14927 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 336 divided by -84\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express m + 71 - 7*m**3 + 13*m**3 + 7*m**3 - 74 - 3*m**4 in the form p*m**3 + x*m**4 + y + w*m**2 + t*m and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from udwggggwugwg. What is prob of sequence wgu?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**3 - 36*y**4 - 78*y**3 + 76*y**2 + 172*y - 98*y**3 - 40 = 0.\nAnswer: -5, -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b. Let z = 13 + -18. Let n(a) = 2*a - 5. Let c(h) = -h + 3. Let r(x) = x - 10. Let u be r(7). Let i(v) = u*n(v) + z*c(v). Determine j(i(l)).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110100001100001000 (base 2) to base 13.\nAnswer: -763b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -19*f**8\/168 - f**6\/60 + 27*f**5\/20 - f**3\/3 + 108*f**2. Find the third derivative of r(k) wrt k.\nAnswer: -2280*k**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-3))\/((-7)\/21). Let j(i) = -i**2 - i + 1. Let u(a) = 25*a**2 - 11*a + 1. Let l(n) = h*j(n) + u(n). What is the second derivative of l(r) wrt r?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1065664.\nAnswer: 2, 16651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-343)\/14)\/((-2)\/4). Suppose 6*z = u - 19. Suppose 4*t - 2*t + f = -4, -3*t + 20 = -z*f. Solve t = -0*i + 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 44*h**2 - 493*h - 450.\nAnswer: -(h + 1)*(h + 18)*(h + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(((b\/(b*b**(1\/5)))\/b)\/b))\/b**(2\/11))**(2\/121)\/((b\/(b\/(b**(-1\/6)*b)))\/b*(b**3\/b*b*b)\/b)**(-4\/15) assuming b is positive.\nAnswer: b**(48242\/59895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.7835 + 10.778. Let t = q - -3. What is t rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 3*o + 0*o)*(19*o**3 - 25*o**2 + 25*o**2) + (-3*o + o + o)*(3*o - o**3 - 3*o) + 4*o**4 - 2*o**4 + 0*o**4.\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -10*r + 54. Solve g + 4*a + 25 = 0, -3*g + 3*a + a = -r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 2. Suppose -b - 11 = -5*l, l + 10 = -l + j*b. Let k(i) = 4*i + 1. Let s be k(l). Solve s = 5*c - 12 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1891 = 57*r - 975 - 440 for r.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 5150.487337 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2*(s*(s**(-1\/4)*s)\/s)\/s)**(10\/3) assuming s is positive.\nAnswer: s**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1789103?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of z**3\/3 - 3*z**2\/2 - 9*z + 1. Is o(7) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 5*b**2 - b - 5. Let j be h(-5). Suppose -2*k = -4*m - 16, j = -5*m - k - 2*k - 20. Let n be ((-182)\/39)\/(m\/(-6)). Is -41\/5 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/5 + 7 - -10098 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 1063*b**5\/10 - 1103*b**2 + 2*b + 301. Differentiate p(f) with respect to f.\nAnswer: 6378*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(10 - ((-4893)\/(-350) - 4))?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24839868, 49679738, 74519608, 99359478?\nAnswer: 124199348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 28, 1\/6, 2 in decreasing order.\nAnswer: 28, 4, 2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2514 - -0.2?\nAnswer: -2513.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -16*i + 553. What is the remainder when 201 is divided by q(32)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25773, -51776, -77777, -103776?\nAnswer: -129773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + (sqrt(66) - (sqrt(66) - (sqrt(66) + (sqrt(66) - (sqrt(66) - (-1*sqrt(66) - sqrt(66)))*4)))) + sqrt(66))\/sqrt(6))**2*-4*-2 + 5.\nAnswer: 5637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 266, 263, 260?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 36906792 divided by -9048\nAnswer: -4079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4917 + 4920. Let n(g) = 31*g**3 - 4*g**2 + 4. Let i(y) = 31*y**3 - 3*y**2 + 3. Give s*n(d) - 4*i(d).\nAnswer: -31*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2. Suppose -b = 9 - 11. Let t(i) = -22 - 18*i**b + 22 - 11*i**2. What is p(t(h))?\nAnswer: 841*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 544735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14445\/56 + -1659\/8. Let d = -69 - -119. Let h = d - y. Put h, 0, -1\/4 in descending order.\nAnswer: 0, -1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 15*m + 6. What is the smallest common multiple of 18 and z(16)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 4:35 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2535)\/(-24336)*(-6)\/10?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 2*n + 17, 3*n - 22 = -4*b + 5*n. Suppose u + b*t - 4*t - 26 = 0, 2*u = t + 46. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2f (base 16) to base 11.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8130 and 3650370?\nAnswer: 3650370","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9 - 833*d**3 + 24*d**2 - 8 - 25*d**2 + 5*d**2 wrt d?\nAnswer: -4998","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*o**2 + 0*o + 6*o - 25*o**2)*(-10*o**2 - 22*o**2 + 7*o**2) in the form r*o**4 + z*o**2 + s*o + j + d*o**3 and give d.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -158, -1, -7, -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 3. Let h be r(0). What are the prime factors of (-1 - h)\/((2 - 3)\/(-133))?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -41 (b) 4 (c) 2\/9 (d) 168\/5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 196 = 2*l. Suppose -30 = -4*r + l. Let s = -12 + r. Solve -2*v - s = 3*n - 7*n, -3*n + 15 = -5*v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26992*s**2 - 80896*s**2 + 26963*s**2 + 26959*s**2 + 7.\nAnswer: 18*s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1100100?\nAnswer: -1101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(102)*-1)\/(sqrt(6) - (sqrt(6) + -5*sqrt(24) + sqrt(6))) - (sqrt(17) + 2 + 3 + sqrt(68) + sqrt(17) + 5)**2.\nAnswer: -372 - 719*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8197096?\nAnswer: 2, 193, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((1216\/240)\/(-38))\/(2\/(-6))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(70) - (sqrt(70) + (5*1*sqrt(70) - sqrt(70)) - sqrt(70)))*2)\/(sqrt(20)\/(2*sqrt(162))*6).\nAnswer: -54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248*d = -263 + 15. Solve -d = 2*u - 5*u - t, 0 = -2*u - 4*t - 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 1. Let q(v) = 91 + 2*v**2 + 4*v + 2*v**3 - 5*v - 89. Let m = 2 - 0. Suppose m*z = 4*z + 4. What is z*t(w) - q(w)?\nAnswer: -2*w**3 - 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27104 + -27101. Let f = -0.03 - -0.43. Which is the fourth biggest value? (a) 0.3 (b) 1.1 (c) r (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-3)\/(-42))\/((-1792)\/(-307328))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*(1 + (sqrt(99)\/(sqrt(9) - sqrt(9)*-2 - sqrt(9)) + sqrt(11) - (-1 + -1*sqrt(11)))) + 3.\nAnswer: 17 + 25*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 20\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 7:44 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l - 3*l + 4*l - 5. Let g(s) = -s**3 + 9*s**2 - 8*s - 5. Let k be g(8). Let u = 8 + k. Let x(r) = 2*r + 6. What is u*x(p) + 4*o(p)?\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/77 and 61\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -101113441?\nAnswer: -101113444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15870\/(-6348)*6\/5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -25*s + 19. Let v be -3 + 9\/18 + (-10)\/4. Is z(v) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4400 and 330.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/1*(15 + 10 + -23). Sort 5, -3, c, 3 in decreasing order.\nAnswer: 5, 3, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 119.016777 + -109.51683. Let m = -0.12 + -9.38. Let v = m + w. What is v rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxwxqq. What is prob of picking 1 q, 1 w, and 2 x?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23537*s**3 + 3*s + s + 3691*s**3.\nAnswer: -19846*s**3 + 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 2, -2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 408705067 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2913 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33572, -33570, -33568?\nAnswer: -33566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -661861, -1323714, -1985565, -2647414, -3309261, -3971106?\n\"Answer: q**2 - 661856*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = p - 14, -18 = -n - 15. Solve 9*x + 25 + p = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -12 - 6. Suppose 0 = j - k, 3*b + 0*b + 5*j - 1908 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -480, -346, -214, -84?\n\"Answer: -g**2 + 137*g - 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 4*u**2 - 2*u + 9. Let d be z(4). Let j(t) = 12*t + 3. List the prime factors of j(d).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -0.200026. What is o rounded to six dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (5 - 13) + 17 - 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 24*f**2 + 45*f + 75. Let v be q(22). Suppose -j = 60 - v. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 273 (b) 0.014 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/274644 and 29\/540.\nAnswer: 1373220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13906282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*x + 17*x - 51*x in the form i*x + p and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 25 = 3*q - 0*q, -2*q + b - 2 = 0. Let y be ((-18)\/q - 1)*-1. Let g(j) = -j**2 - 7*j - 5. Let z be g(y). Solve 3 + 2 = -z*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 3)*(-r + 0*r - r) + 118*r - 91*r + 185*r)*(-5 + 4 + 2).\nAnswer: 210*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express c + 3*c - 887*c**2 + 879*c**2 in the form y*c**2 + a*c + b and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 1526*d**2 + 5350356*d.\nAnswer: -2*d*(d - 2061)*(d + 1298)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1958)\/(-26433))\/(3\/324)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + sqrt(272) + 0 + sqrt(272) + (3*(sqrt(272) - -2*sqrt(272)) - sqrt(272))**2 - (sqrt(272) + (sqrt(272) - 2*(0 + sqrt(272) + sqrt(272))) + -2)).\nAnswer: -17406 - 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 765*f - 758*f = 56. Is -831*(-3 - -2) + f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33133129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1536 and 840801.\nAnswer: 430490112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 - 41*m**2 - 439*m + 38. Does 15 divide y(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-1)*(-30)\/(-96). Let u = -3 + 3. What is the third biggest value in u, r, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654.3767l in millilitres?\nAnswer: 654376.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 5*w - 262. Let s be (w\/3)\/(-1 - (-15)\/9). Calculate the greatest common factor of 20 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 234*o**2 + 2*o + 16. Let a be z(-6). Suppose 5*j = 3*j - 2*m + a, -3*j - 2*m = -12640. List the prime factors of j\/135 - 8\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 0*h**3 + 0*h + 0 - 1\/12*h**4 + 3*h**2. Let u(l) = -4*l**2. Calculate d(u(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2184512.4ns in hours?\nAnswer: 0.000000606809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/14880 and -61\/3430.\nAnswer: 5103840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6524 + -13035\/2. What is a in -23\/2*a**2 - 3\/2*a**3 - 1 + 9\/2*a**4 - s*a = 0?\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**7\/560 - t**6\/48 + 20*t**3 - 128*t**2. Let q(p) be the first derivative of y(p). Let q(v) = 0. What is v?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*108\/126)\/((-42)\/98)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -3. Let h(j) = -1 + j + 5 + j. Let i be h(-4). Sort i, 5, x in increasing order.\nAnswer: i, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/252)\/(2\/(-8)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*f**6 + 95*f**5 + 4*f**4 - 30087*f**2 - 2*f wrt f?\nAnswer: -1800*f**3 + 5700*f**2 + 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 7:35 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 40*s - 401. Give y(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1568*x - 1571*x = 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1058.4 + 1058.4083035. Round m to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*p - 213*p + 13 = -o, 4*p - 4 = 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15365 divided by 3073\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -971\/3 - -298. Let r = g + 388\/15. Is r greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11.3 (b) -3 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -11*u - 2 + 0 - 4 + 2. Let y(r) = r + 5. What is the least common multiple of y(0) and x(-1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*l**2 + l - 40*l**2 + 11*l**2 + 2*l**3 to the form s*l**2 + g*l + k + n*l**3 and give s.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 7:52 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1688 + -1709. Let z = -488\/5 - -98. Which is bigger: x or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/9, 4, -1\/26, -8.63?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-12) - 88\/(-6). Suppose -i = i - f. Solve 6 = -2*u + x, u - 5*x + 14 = -i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -4 (b) 1 (c) 0.03 (d) -22\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/36 and 139\/216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a kilometer in meters?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 1\/40*g**6 + 0*g + 1\/2*g**3 - 2*g**2 + 0*g**5 + 0 + 0*g**4. What is the first derivative of y(o) wrt o?\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 23. Suppose 2*f + l + 16 = 6*f, -2*f + 3*l = -a. Suppose -f*c + 7 = -32. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1647024379 - -2.4.\nAnswer: -1647024376.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 1:26 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 760 = -4*w. Let u be (1\/(-8))\/(w\/16 + 2). Let z = 15 - 15. Which is greater: z or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29931966?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 7*p**2 - 3*p - 1. Let o be n(-7). Suppose -6*h + 5*h - o = 0. Let s be 2\/18 + h\/90. What is the closest to 1 in s, 0.3, 2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 24276.5397 minutes?\nAnswer: 2.408386875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 25 = 5*x, x - 11 = 4*q - 22 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -76*c**3 + 574*c**2 + 503*c - 147. Let b(n) = -265*n**3 + 2010*n**2 + 1760*n - 515. Let a(o) = 7*b(o) - 25*q(o). Factor a(h).\nAnswer: 5*(h - 7)*(h + 1)*(9*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.1 * 0.085951\nAnswer: 0.1804971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 41\/2 of a kilometer?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 8 (c) -192\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**3 - 6*j**2 - 20*j - 10. Let h be x(9). Suppose 4*t - h = 1193. Suppose 0 = -k + 2*z + 679, 2*k - z = k + t. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*u = 37*u - 8*u - 3458845. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 15 - 57 = 0. Let d = q - -41. Calculate the highest common divisor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10942, -10629, -10106, -9373, -8430, -7277?\nAnswer: -5914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/((-11)\/(-66)). Suppose w + 13 = a, w + 16 = y*a - 21. Suppose -4*j + 0*j = -a. Solve 15 = -0*n + j*n, 17 = 2*i + 3*n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1451660790 times 0.2?\nAnswer: 290332158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/23 (b) -2\/9 (c) 5 (d) 5\/2 (e) 34 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 11:30 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*j - 37*j - 209. Suppose 38 = 8*b + j*b. What is s in -294*s - 1372 - 1\/2*s**3 - 21*s**b = 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8623599 to the power of 1\/2, to the nearest integer?\nAnswer: 2937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 31*0.32\nAnswer: 9.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 5*z - 31. Calculate l(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -545360*c - 242 = -545338*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*k - 43340 - 43347 - 43345 + 130032.\nAnswer: -25*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 2)*(-3*f**2 + 7*f**2 - 3*f**2)*(2*f - 5*f + 0*f).\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1\/15))\/m**5*(m\/(m*m**1\/m))**(-31) assuming m is positive.\nAnswer: m**(-59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 + 42. Suppose -9*v = -35 + n. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 5*y - 4*n, -8 = -2*n - 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i**2 + 130*i - 130*i + 4*i**3 - i**3.\nAnswer: 3*i**3 + 15*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6206414 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*(sqrt(133) + (sqrt(133) - sqrt(133)*2) + sqrt(133) - sqrt(133)))\/(sqrt(189)\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 2. Let x be y(7). Let w be (1 - x)\/((-7)\/(-28)). Suppose n + w = 6*n. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 6.4. Let l = 0.06 - -3.94. Let x = 1 - -1. Which is the biggest value? (a) h (b) x (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 2*c = 50 - 52, c - 1 = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {u: 16, m: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 10*n - 14. Let t be r(10). Let o be t\/(-2)*6\/7. Find the second derivative of -5*k - 2*k**5 + o*k**5 - 2*k**5 wrt k.\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -16 + (-16720)\/1280?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 + 67. Suppose 0 = 4*h - i, -a + 6*a = -h + 300. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.01 (b) -10\/7 (c) -2\/7 (d) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 405702173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31423 + 10478 - 98*o**2 + 10479 + 100*o**2 + 10466.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 q when two letters picked without replacement from {g: 1, q: 1, b: 1, p: 1, a: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from itaiafm. Give prob of sequence tmia.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -5119\nAnswer: -5119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 6*m + m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350660 is divided by 9854?\nAnswer: 5770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, 0.98, 0, 3 in ascending order.\nAnswer: -6, -5, 0, 0.98, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 48*z**2 + 36*z - 36. Let r(d) = 7*d**2 + 5*d - 5. Let h(p) = 36*r(p) - 5*t(p). Let a(x) = 2*x. Give h(a(l)).\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 53*15 - ((-28)\/4 - -5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 340 = -0*d. What are the prime factors of (-10)\/d + 1053\/2?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540175 a multiple of 697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48628*c**3*u**3 - 123*c**3*u**2 - 46*c**3 wrt u?\nAnswer: 291768*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**3 - 400*x**2 - 1520*x = 0.\nAnswer: -76, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 5*o - 17, -5*g = o + 2*o - 19 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3993200 rounded to the nearest 100000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**3 + 167*w - 25*w + 322*w.\nAnswer: 4*w**3 + 464*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24787 + -8077. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = g + 858. Let h = 55 - g. Let n = h - -228. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 90*z**2 - 91*z - 39. Give y(91).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 841850 is divided by 841483.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 870\/(-116) - (6\/4 + 0). Does 60 divide (-70)\/(-5)*(-270)\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*c - 45*c + 692 = 0. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1532 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, i: 1, p: 2}. Give prob of sequence pl.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1497*w**2 + 111*w - 9650277.\nAnswer: 2994*w + 111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 21. Let m(q) = 10*q - 4. Let v(r) = -8*r + 3. Let w(z) = -3*m(z) - 4*v(z). What is y(w(f))?\nAnswer: -4*f**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 28*m + 12. Let q be o(-6). What is the highest common factor of 18 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 5224*i**3 + 15 + 10961*i**3.\nAnswer: 16185*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 170*w**2 - 14*w + 16. What are the prime factors of c(-4)?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.6 + -0.6. Let c = 1238 + -1238. What is the fourth smallest value in c, -1\/3, 0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19.912 + -20. Let o = u - -0.08. Let q = o + 0.05. Round q to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1888 is divided by 26?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1130210 - -40?\nAnswer: -1130150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k + j = 29, 3*k + j = -11. Let d(t) = 2*t**2 - 2*t + 5. Let m be d(k). Calculate the greatest common factor of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 0 - i - 6 + 5 + 2*i. Calculate u(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271026628205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 2158?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 589 a factor of 1461078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222710.\nAnswer: 2, 5, 22271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -84\/83 (b) 0.297 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -90320841*b**2*h*u + 4544*b**2*o*u**3 - 43*b**2*o*u**2 + 2*b**2*o*u + 2*b*h*o*u**3 - 4*b*o*u**3 wrt h?\nAnswer: -90320841*b**2*u + 2*b*o*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 70309 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*b**2*i**2 + 3*b**2*i + 134*b**2 - 6*b*i - b + 438194*i**5 + 10*i + 18 wrt i?\nAnswer: 84*b**2 + 8763880*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -111 + 324. Is 212 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 252\/7*(-158)\/6. Let p = 428 + x. What is p rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*((((((s*s*s\/(s\/(s\/s**(-3\/13))))\/s)\/s)\/s)\/s)\/s*s)\/s*s)\/(s*s**(2\/23)))\/(s\/s**(6\/7)*s**7) assuming s is positive.\nAnswer: s**(-16742\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from wkwkkkkppkwiiwp?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.344 - 490.344. Let m = 492 + s. Let y be 1 + 0*(-2)\/(-4). What is the second biggest value in m, y, 0.2, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*s**3 + 23*s**3 - 130*s**3 + 19*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -6 - ((-14 - 3) + 10)) + -87 + -7.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 9*f**2 - 7*f + 7. Let t(c) = -4*c**2 + 3*c - 3. Determine 4*s(q) + 9*t(q).\nAnswer: 4*q**3 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, -4, 7.261?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3259 * -0.1\nAnswer: -325.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -171*h**4 + 70*h**4 + 288*h**4 + (3*h - h - 3*h)*(-h - 2*h**3 + h) + 1 - 1 - h**4.\nAnswer: 188*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -291, -583, -875, -1167?\n\"Answer: -292*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11.8 times 23\nAnswer: 271.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from eexxpxepxeelplpppp?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0050967823 to 5 decimal places.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -522, -1045, -1566, -2085, -2602, -3117?\n\"Answer: o**2 - 526*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3653*i - 5185 wrt i?\nAnswer: 3653","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-12))\/((-45)\/24)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63.6145 - 63.5. Let r = 0.0522 - f. What is r rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 51220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2037920081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n - 3*n + 6*n + 2*n - 11*n**2.\nAnswer: -11*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5429 - ((-15)\/5 + 6). Is (-1)\/(-3) + r\/(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 657017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 56378385469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 22*r**2 - 62*r + 3. What is t(-19)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 536 divided by -354.\nAnswer: -268\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 30 and 27 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*a + 11 = 3*a, 0 = 5*l + 2*a - 1. Suppose -6*v = -26*v + 1920. Let w = v - 96. Sort w, l, -4, -3.\nAnswer: -4, -3, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 1\/5, -7.3 in descending order.\nAnswer: 1\/5, -4\/5, -7.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1954 is divided by 246.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6*b - 4*b = 30, 4*n = 5*b - 65. Is (-4205)\/n*-1*(1 - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ffdddff?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*c - 3657987 = 14*c. Let a = c - 31160577\/230. Calculate the common denominator of -73\/4 and a.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**5\/12 - 85*x**4\/24 + 50*x**3 - 4*x**2 - 82*x. Find m such that q(m) = 0.\nAnswer: -20, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 857*u**2 + 40*u + 22. Is k(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 6*g - 1. Let h be w(-6). Let z = h + 5. Suppose 23*l = 25*l - z. Sort 0.2, l, -2\/3 in increasing order.\nAnswer: -2\/3, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.503 - -1802118?\nAnswer: 1802126.503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-6) + 425\/30 + 1. What is the greatest common factor of f and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/(a\/((a\/(a\/(a\/(a*a**1))*a))\/a)*a)))\/(a*a\/(a\/(a\/(a**(3\/10)*a)*a)))*(a*a\/(a\/(a*(a**(-1)*a)\/a*a)))**(13\/2))**(26\/3) assuming a is positive.\nAnswer: a**(2249\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 10 - 26 = 0. Suppose i*k - 3 = 3*m - 2*m, -3*k - 2*m = -16. Factor -4\/3*s + 2\/3*s**k + 0.\nAnswer: 2*s*(s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.008600803 + -352.991250197. Let p = -19.7 - -372.7. Let v = p + b. What is v rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, u: 4, q: 3}. Give prob of picking 2 u.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 16 - 9 + 3420426*h.\nAnswer: 3420426*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 218551317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 0 - (8 + -14)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21\/((-336)\/273488)*(1 + -2 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, o: 10}. Give prob of sequence ooo.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49931197111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1423097, 1423072, 1423047, 1423022, 1422997?\nAnswer: 1422972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from etverirteeepv. Give prob of sequence ttre.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*v + 11. Solve 0*b + v = -4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 * 12.\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q**2 + q**3 + 2*q**2 + 4 + 2*q - 2*q**2. Let j(c) = -c**3 - 7*c**2 - c - 2. Let a be j(-7). Is 14 a factor of d(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1986559 is divided by 3019.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.6 and -355?\nAnswer: -568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-3\/13)\/v)**(-3\/4))**(-33))**(-17) assuming v is positive.\nAnswer: v**(6732\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16427, -33724, -51043, -68390, -85771, -103192, -120659?\n\"Answer: -p**3 - 5*p**2 - 17275*p + 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 9*l + 25. What is o(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-150)*(-24)\/(-1008)*(8 + -11)*2.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z - 6. Let o = -11 + 6. Let y(d) = 8*d - 7. Let m(q) = o*g(q) + 4*y(q). Differentiate m(t) with respect to t.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 10 (b) 0.1 (c) -3\/10 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-425*h**2 - 275*h**2 + 318*h**2 - 294*h**2)*(4*h**2 - 4*h**2 - h**2).\nAnswer: 676*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 5*r, -r + 4*g - 1580 = -1589 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.84 (b) -2 (c) -528\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 24*p**3 - 5*p - 6. Let w(f) = -23*f**3 + 4*f + 5. Let s(q) = 6*o(q) + 7*w(q). Let i be s(-1). Is (-42895)\/(-45) + (-4)\/i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i**2 - 5 + 2*i**2 + 5.\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x + 5. Is p(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -450 + 540. Suppose 22 = -4*o - 98. Let u = b + o. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*p - 4*p + 10)*(0*p + 0*p - 2*p - p + 2*p + p + 2*p - 2*p - 2*p + (-2 + 2 + 1)*(-p - 3 + 3) + 4*p - 3*p + p).\nAnswer: 2*p**2 - 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 40*s - 161. What is x(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -440261 take away 43?\nAnswer: -440304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4394922, -8789844, -13184766, -17579688, -21974610?\n\"Answer: -4394922*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, a: 13}. Give prob of sequence as.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90 + -88. Suppose -6*p - 12 = -2*p. Sort r, 3, p in descending order.\nAnswer: 3, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -14*o**2 + 5*o - 3. Calculate u(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 398437.2g to nanograms.\nAnswer: 398437200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1679 divided by -9.\nAnswer: -1679\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -35, -210 in decreasing order.\nAnswer: 3, -35, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 z when three letters picked without replacement from {t: 8, k: 3, z: 2, b: 4}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 4*j - 8*j + 180, 0 = 2*l - 4*j - 72. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14053369 = -235*q + 254606. What is the thousands digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(33)*1)\/(sqrt(396)*-2))**2*4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -20*z**3 + z**2 - z - 1. Let u be (-6)\/4*(-7)\/((-42)\/4). Is 2 a factor of a(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2980 and 40?\nAnswer: 5960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -223422244 + -3?\nAnswer: -223422302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 786 and 87.\nAnswer: 22794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -178 + 388. Let g be -2 + 550\/w + 4\/(-14). Which is the closest to -1\/3? (a) -0.2 (b) -3.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441 is divided by 296.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5*w**3 + 2 + (-2*w - 3*w + 4*w)*(-3*w**2 + 0*w**2 + w**2) + 0*w**3 - 2*w**3 + w**3)*(-2*w - 3 - 5 + 2).\nAnswer: 8*w**4 + 24*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*(3*q + 2*q - 3*q)*(7 - 7 - 8*q).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110)\/(-44) + (-1 + -1)*1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3 + 289*q - 282*q + 1 - q**2. What is a(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) 6 (b) 4 (c) 2\/11 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 7*p**2 - 22*p + 43. Let j(y) = -108*y - 3123. Let a be j(-29). Calculate b(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l - 7. Let f be t(-6). Let j(n) = n**3 - 15*n**2 - 25*n - 4. What are the prime factors of j(f)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 12:34 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 2\/7 (c) -19494\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(-641 + 26*t + 641) + (-1 - 3 + 3)*(0 + t + 0)*(-2 + 0 - 2).\nAnswer: 30*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6500.5 - -6500. Sort 2\/15, m, -58, -0.1, 4.\nAnswer: -58, m, -0.1, 2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620 is divided by ((-96)\/(-40))\/(12\/1545).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6)*(1\/5)\/((-5871)\/(-1030)).\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 26*k**2 + 12*k - 46. Is w(21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1884156 and 1212.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -538 - -540. Let f(u) = 18*u - 1. What is f(m)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1492)\/1119*3*(-1)\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2044163636?\nAnswer: 2, 511040909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - 9*f**3 + 13*f**3 + f**2)*(-49*f - 14*f - 14*f).\nAnswer: -308*f**4 + 77*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94530736 to the nearest integer?\nAnswer: 9723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from tddqttqtttdt.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466 is divided by 200?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -4424\nAnswer: -1\/2212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 6 = 106. Suppose 5*o = z + 19, -4*o + 4 = -3*z - x. Suppose 2*r = o*r + 3*i - 14, 2*r = 5*i + 17. What is the least common multiple of r and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - m - 47272, -192*m - 31514 = -2*z - 191*m. List the prime factors of z.\nAnswer: 2, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**5\/20 - d**4\/6 - 5*d**3\/2 - 21*d**2\/2 + 24*d. What is the units digit of a(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 33*s**2 + 27*s - 117. What is h(-32)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 - 91. Let h be (n - 0) + 72\/(4 - 10). Let y = h + 15. Solve -v + y = 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138914 is divided by 93.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4 = -s, 2*s = 2*r + 4*s. Is 3 + r - (-689 + 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -10842*q**3 - 1. Let d be w(-1). Let z = -173513\/16 + d. Let u = 3082\/9 - 42527\/126. Calculate the common denominator of z and u.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.524423 - -11.517. Round b to 4 decimal places.\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19539 divided by -6?\nAnswer: -6513\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73430.\nAnswer: 2, 5, 7, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 210852030 to the nearest one hundred thousand.\nAnswer: 210900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + g**2 + 4*g + 4. Let t = -360 + 357. Determine x(t).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 8136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -88, -137, -190, -247, -308?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-25))\/((-2)\/(-15))*(2 + -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, h: 1, b: 4, f: 3, n: 1, p: 6}. Give prob of picking 1 b, 2 f, and 1 p.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - -7. Suppose -3*h - 62 = -2*c, -17*h = 2*c - 16*h - 46. What is the highest common divisor of s and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1560.6 + 1560.5997894. What is v rounded to six dps?\nAnswer: -0.000211","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376*p + 5933 = 16*p - 3475 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-900000)\/(-2)*(-22 + 2). What is p rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5054687\/13 or 388821?\nAnswer: 388821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/297)\/((-4)\/(-6)). What is the nearest to 1 in i, 0.6, -0.4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -3\/8 (c) -1\/6 (d) -0.44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -97218 - 69388. Let b = p + 166605.550055. Let g = b - -0.45. Round g to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/((a*a**5\/a)\/a)))**(-3))**32)**(3\/10) assuming a is positive.\nAnswer: a**(-576\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1057 = -1387*z + 19371 + 25343 for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**3*i + 597*g**3*w + 2*g**2*w**2 + 9*g*w - 21*i*w**2 + 2*i + 5*w wrt g.\nAnswer: 24*g*i + 3582*g*w + 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/19 (b) -7 (c) -1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*l + 26*l = -0*l - 12*l - 1360 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -254.4*-18\nAnswer: 4579.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(220)\/sqrt(5) + sqrt(11))*-5.\nAnswer: -15*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 4*y**2 + y - 3. Let b be x(4). Suppose -5 = -u - b. Factor 0*h + 2*h**4 - h**5 + 0*h + u*h**3 - 5*h**3.\nAnswer: -h**3*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1088)*2 - sqrt(1088))**2 + 4 - (5 + (-2*sqrt(1088) + sqrt(1088))**2 + sqrt(1088) + 4).\nAnswer: -8*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -137*m**3 - 5*m**2 + 2485*m - 4938. Give k(2).\nAnswer: -1084","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 155565332 to the nearest integer?\nAnswer: 12473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82.7 - -83.7. Let y = 325 + -1627\/5. What is the closest to y in c, -4\/5, 6, -5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 4*j + 26. Let v be u(-4). Let i = -3 + 5. Let o = i + v. Sort o, 1, 2 in decreasing order.\nAnswer: 2, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*(35\/(-15))\/(-7). Suppose 2*h + 6102 = 2*v - 1222, -p*v + 2 = 0. Is (-34)\/(-153) - h\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21397500?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 316 - 311.98. Let w = -0.02 + i. Let r = -4.0008 + w. Round r to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*k + k**2 - 6*k + 4 + 2*k**2 - 4 - k**2 + 4*k**2 - 2*k**2 + (k - k + 2*k)*(0 + 0 + k) - k**2 - 2*k**2 + k**2 + 2 - 2*k**2 - 2 + 0*k**2 + k**2 + 0*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4\/7)\/(g\/g**(-4))*(g*g**(-1))**28 assuming g is positive.\nAnswer: g**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/352 in 6, -1\/4, -4\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x + 63. Let f be a(-13). Solve 0 = 5*v + 2*o - 18 - 12, 0 = v - 3*o + f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*o + 4437 - 1617 for o.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1744 = -2*k - m, -4*k + 70*m + 3496 = 68*m. Does 30 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 5, b: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1810684 is divided by 78.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11 - (-102)\/12)*(-8)\/10. Let 1906*o**t - 1313*o**3 + 1470*o**2 + 5593*o**3 + 100*o**4 + 672*o = 0. Calculate o.\nAnswer: -42, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -13*k**7\/2520 + k**5\/60 - k**2. Let m(d) be the third derivative of j(d). What is the remainder when m(-1) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*t - 33 - 55 + 88.\nAnswer: -113*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 348 = 4*j - 9*v, 5*v - 183 = -2*j. Calculate the greatest common divisor of 48 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*j + 5. Find the second derivative of -4*z**3 + j*z + 15*z**3 - 11*z wrt z.\nAnswer: 66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*g**3 + g + 1133 - 1132 + 0*g to the form w + s*g**2 + i*g**3 + j*g and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.026 * -1634167.\nAnswer: -42488.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 5*s + 3*s)*(345 + 332 + 31 - 201 + 519).\nAnswer: 6156*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -2*u + 1\/12*u**4 - 6 - 5\/6*u**3 + u**2. Find the first derivative of i(n) wrt n.\nAnswer: 2*n - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 27*z + 164. Let a be v(-18). Let d(t) = 2*t. Let g(f) = -5*f. Let o(u) = -7*d(u) - 3*g(u). Let j be o(a). Solve -2*k = j*k - 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62.2 - 61.2. What is the closest to a in -19, 2\/7, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 54\/227 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 11*t**2 + 3*t**3 - 4 + 2 - 4 as v + j*t + b*t**3 + p*t**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*43206.\nAnswer: -259236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 8:01 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 3*b + 91 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**4*u - 674*g*u**3 - 597*u**3 wrt g?\nAnswer: 4*g**3*u - 674*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + -6*(sqrt(275) + -1) - -1*(1 + sqrt(275))) + 3)**2.\nAnswer: -400*sqrt(11) + 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8057761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 4 - -28) + -1. Suppose -4*c = -9*c + t. Suppose c*m + 38 = 4*g, 3*m = 8*m + 4*g + 22. Let q(h) = h**2 + 7*h + 4. Give q(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120\/(-176) - (-4)\/22\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 4. Let q be g(2). Suppose q*w = -0 + 14. Let d(l) = l + 6. Let x be d(-6). Solve -3*h + 5 + w = x for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1333116.\nAnswer: 2, 3, 19, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -13. Let m(g) be the first derivative of 0*g - 2\/3*g**3 - 1\/3*g**6 + 0*g**5 - 2 + 0*g**2 + 0*g**b. Find the third derivative of m(y) wrt y.\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**5\/20 + 5*s**4\/12 - 7*s**3\/6 - 7*s**2\/2 - 11*s. Let c be q(-6). What is the closest to c in -2, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*(4\/18)\/((-7)\/(-21)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -3. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (243\/(-12))\/((-9)\/24). Suppose -2*p + z + q = 0, p - 4*p = -2*z - 82. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 25 - 14 + 4 = -6*y, -2*m + 3*y + 5 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/5 and -61\/252950.\nAnswer: 252950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0591 - 0.08649. Round z to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91880 + 11025479\/120. Calculate the common denominator of 101\/6 and n.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m**2 + 8*m - 4. Let x(w) = 8*w**2 - 9*w + 4. Give -7*i(h) - 6*x(h).\nAnswer: h**2 - 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, x: 12}. What is prob of sequence xnx?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1f37 (base 16) to base 13.\nAnswer: 3839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 10 = 0, 5*a - 248 = a + 4*r. Suppose -5 = 2*q - a. What are the prime factors of q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34341*j**2 + 7*j - 6*j - 4*j + 3*j.\nAnswer: 34341*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - u = 0, y + 2*u - 646 = 0. Is y a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 34. Let a be -2*18\/(-8)*2. Let d = f - a. Let p(n) = n + 5. Give p(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 700\/9 - 12\/(-54). Let v = -64 + z. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90360 divided by -180.\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k + 1. Let o be q(1). Suppose 0 = -4*g + 5*v - 25, -g + 5*g = -5*v - 15. Is g smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 8*y**2 - 2*y + 20. Calculate the smallest common multiple of 72 and z(-8).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 4*q + 34. Let r be u(8). Factor -44*y + 12*y - 35*y - 5*y - y**r - 324 - 3*y**2.\nAnswer: -4*(y + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*f + 1589, -2*c = -4*f + 628 + 652. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence twa when three letters picked without replacement from {a: 5, p: 2, s: 1, x: 5, t: 4, w: 3}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/5 + 3824*i**2 - 19122*i\/5.\nAnswer: 2*i*(i - 1)*(i + 9561)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 121 - 42) + -58?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 3:56 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5704.105 and 19984960.\nAnswer: 19979255.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14603702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1\/h*h)\/(h*h**(-7)))\/(h**(-3\/7)*h\/(h*h*h**(-7)*h*h)) assuming h is positive.\nAnswer: h**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 154\/10 - (-6)\/10. Suppose 0 = 2*l + 2*l + 8. Let a = l - -4. Solve 0 = -a*r - 2*r - q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-322)\/(-42))\/((-1)\/(-3)). Solve -5*d - p = 8*c - 4*c, 2*c = 2*d + 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4, 20, 52, 106, 188, 304?\n\"Answer: i**3 + 2*i**2 + 3*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 19 = 5*g, -3*p + g = -g. Let j(i) = -3*i**2 - 3*i - 2. Let c(x) = -x**3 - 4*x**2 - 3*x - 3. What is p*c(k) + 3*j(k)?\nAnswer: 2*k**3 - k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*h - 4830 - 2232. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**4\/4 + c**3\/6 + 14*c**2. Let g = -3 - 1. What is the units digit of u(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10896, -10898, -10900?\n\"Answer: -2*s - 10894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37459 and 131647?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 0*j + 0*j**3 - 4*j**2 + 0*j**5 + 47\/105*j**7 + 21 - 35\/8*j**4 + 0*j**6. Find the second derivative of q(o) wrt o.\nAnswer: 1128*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1871 (b) -3\/2 (c) 3\/4 (d) 1 (e) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/50328 and 11\/1680.\nAnswer: 3522960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(1539) + (sqrt(1539)*-1 - sqrt(1539)))*-5)**2 + -4)*-1.\nAnswer: -38496 + 450*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 374 divide 90243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 444 and 6364.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - o**2 + o - 8836. Let f be c(0). Let s = -176803\/20 - f. Calculate the common denominator of -107\/6 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160413, -320834, -481257, -641682, -802109, -962538?\nAnswer: -1122969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 9:05 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 11*j - 9. Determine a(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.76710461 rounded to 1 decimal place?\nAnswer: -8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9597.171642 rounded to the nearest ten?\nAnswer: -9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) 0 (b) -1915 (c) 1\/7 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -333206 times -8\nAnswer: 2665648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 4:23 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (468\/390*2\/(-3))\/((-2)\/15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 + 48. Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 - b**4 - 3*b + b**3 + 2*b**2 - b**3 + 0*b**4 to the form t*b**2 + z*b**3 + j + u*b**4 + r*b and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65218740.\nAnswer: 2, 3, 5, 263, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.093044147 rounded to 3 decimal places?\nAnswer: 0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -16*u**2 + 2345*u - 70833. Calculate m(104).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2684394 to the power of 1\/2, to the nearest integer?\nAnswer: 1638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 198 = 2*c, -3*i + 3*c + 570 = 5*c. Let j be ((-4)\/(-34))\/(-1) + (-15288)\/(-476). What is the highest common factor of j and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/25 - ((-1104)\/15)\/4. Let i = -24 - -22. Let j = i + 7. Solve w - j*g = -n, -2*g - 8 = -4*g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35131989203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v + 62 = 132 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*75\/(1 - -2). Suppose -4*j + n = j. Let r = j + 0. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 - 54. What is the smallest value in -3, n, 2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by -30510.\nAnswer: 32\/15255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 11*g**8\/336 - g**7\/30 - 779*g**5\/60 + 61*g**2 + g. Find the third derivative of x(a) wrt a.\nAnswer: 660*a**2 - 168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 0. Suppose -i*v = 2*s + 22, 0*v + v = 2*s + 2. What is the units digit of 21\/15*(2 - s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/9 - 968*p\/9 - 33026\/3.\nAnswer: -2*(p + 147)*(p + 337)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*y = q + 10, -2*y = q - 15. Let h be 0*(0 + 0 + (q - 6)). Suppose h = 3*p - 2213 + 602. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*((j\/(j*j**9\/j))\/j*j)\/j)*j*j\/(j**(-22)\/j)*((j**(-5\/8)\/j*j)\/j)**(-49) assuming j is positive.\nAnswer: j**(909\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2))**31\/(i**(-3\/7))**(-37) assuming i is positive.\nAnswer: i**(-545\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 196 = -l, 3*y - 432 = -2*l - y. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 2:05 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or 540\/17?\nAnswer: 540\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a = -31*a - 456 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 15 = 2*w, -2*w + 12 = -3*z + w. Let i be 1\/2 - z\/(-2). Suppose 3 + i = 4*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w + 0 + 0*w**3 - 1 - w**3 + 0 + 5*w**2. Let l be d(5). Calculate the highest common factor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 6*x - 4. Let h be i(7). Suppose 5*g + h*y - 116 = 0, -g = -0*g - 3*y - 16. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132401 (base 5) to base 14\nAnswer: 1d43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(264)\/(2*sqrt(11)))\/(2*(sqrt(8) + sqrt(512) + sqrt(8))))**2 + 5.\nAnswer: 503\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -5*j - q + 96, 0 = 3*j - 3*q - 126. Suppose -j*k + 42*k - 6 = 0. Solve -3*n - d - 19 = 0, -k*n = 2*n - 3*d + 8 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-352*q**2 - 2*q**3 + 352*q**2)*(-q**2 + 56*q**2 + 44*q**2).\nAnswer: -198*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.105 - -0.895. Suppose 7*p - 38 = l + 10*p, 51 = -2*l - p. Do l and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 652196 to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(4 + 0 - 2)*(-9*f + 7*f - 5*f)*(5*f - 4*f - 4*f).\nAnswer: 84*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 9*h - 1 + 12*h + (-2 + 4 + 0)*(2*h - 4 + 4) + 2*h + 4*h - 4*h - 4*h + 3*h - 2*h.\nAnswer: 6*h + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, r: 1, v: 2, c: 1, l: 1, y: 2}. Give prob of sequence rz.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 - 343635437.4?\nAnswer: -343635436.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 3.7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*(sqrt(133) + (1*sqrt(133)*-5 + sqrt(133) - sqrt(133))))\/(sqrt(84)\/(sqrt(120)\/sqrt(10)*6)).\nAnswer: 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1925)\/14)\/(-11)*(8\/5)\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 a factor of 443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79036*n**2 + 1929*n + 79036*n**2 - 1929*n - n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -12*v**2 + 9*v - 4. Let r be k(6). What is the common denominator of -11\/12 and 1\/(-6) - r\/96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3\/2 - 167*j**2\/8 - 61*j\/4 + 41\/8 = 0. What is j?\nAnswer: -41, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 - -36. Calculate the remainder when 7 is divided by k\/(-6) - (-2 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p**2 + 1. Let o(y) = 98*y + 1859. What is o(z(d))?\nAnswer: -490*d**2 + 1957","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 41*o**3 + o. Suppose 5*u - 111 = -2*r, -11 = -3*r + u + 113. Suppose 57 = 14*v + r. Give c(v).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 5. Let w = -2.2 + 0.2. What is the third smallest value in w, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -17.074. Let q = -5.056 - -5. Let g = a - q. Round g to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563298?\nAnswer: 2, 3, 223, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 + d - 3. Let c be q(-2). Let t = c - -21. What is the greatest common divisor of 12 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5353570*m - 2. Let p be a(1). Let h = 9083568 - p. What is h rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**7\/21 - p**3\/2 + 2*p - 3. Let g(w) be the first derivative of t(w). Find the second derivative of g(s) wrt s.\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 245351889 to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-6) + 1222\/18. Let f = v + -67. Which is the third smallest value? (a) f (b) -0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 10:42 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n**2 + 38*n + 1. Calculate y(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 85032 and 4.\nAnswer: 85032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (3 - (5 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 3*g**2 - 2*g - 6. Let m be l(4). Suppose 615 = 5*j - 5*b, -j = 2*j + m*b - 354. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g - 19*g = 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000013948161 to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 8. Let t be r(-11). Find the common denominator of -3 + -34*t\/(-42) and 2\/9 - 134\/198.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s - 6944 = -19*s + 11*s. Let o = 87777 - 612874\/7. Let a = o - s. Is -1 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 - 1000?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(3264) + sqrt(3264)*1)*-4*-6)\/(4*3*-1*sqrt(432)*4).\nAnswer: 10*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 35400 divided by -8\nAnswer: -4425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 85\/6*b**3 + 28*b - 69\/2*b**2 + 0. Is h(22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/946 and -9\/2408.\nAnswer: 26488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + -1 - -3)*-1. Let p = 0.7 - 0.7. What is the third biggest value in p, g, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 5*s - 55, 0 = -o + 5*s + 7382 - 7411 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1\/58264, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 749?\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(162) - sqrt(162)) + 2 + 0 - (sqrt(162) + sqrt(162) + 5 + (sqrt(162) - sqrt(162)*2 - sqrt(162)) + sqrt(162))*-6) + 0)**2.\nAnswer: 1728*sqrt(2) + 2482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, -120450, -0.11, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n**(2\/33)\/n)\/n*n**(-5\/2))**(-23\/2)*(n**(1\/2)\/n**(-5))**(-44) assuming n is positive.\nAnswer: n**(-26723\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 9*n**2 + 10*n + 4. Let t be j(-10). Let z(m) = 4*m + 16. Let c(i) = -2 - 9 + i - 4*i. Let w(q) = -7*c(q) - 5*z(q). Determine w(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 2:22 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/3)\/((y\/y**(2\/5))\/y)*(y\/y**6)\/(y**6*y) assuming y is positive.\nAnswer: y**(-184\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/((-18)\/4*351\/15795).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyayyayy. What is prob of picking 2 y?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)*-3 + sqrt(150) + sqrt(96) + sqrt(96) + sqrt(96)*3)\/((sqrt(120) - (sqrt(120) - (sqrt(120) + (sqrt(120)*-2 - sqrt(120)))))\/sqrt(10)*3))**2.\nAnswer: 25\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*d + 185*d = -15. Let p be (2 + 3)*4\/(-5). Which is smaller: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7656 and 6438.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3 - 2 + 81*t + 4. Let w be q(1). What is the lowest common multiple of (2 + -1)*w\/4 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 3:40 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 1:01 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uooooooouoooouo. What is prob of picking 1 u and 2 o?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 31, 83, 197, 391, 683, 1091?\n\"Answer: 3*i**3 + 13*i**2 - 8*i + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - -3. Let v be (32\/12)\/(4\/6). Suppose 200 = 4*j - 2*a, v*a + a = -3*j + 176. Calculate the highest common divisor of j and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - l + l - 3*l + 3*l + 2*l**2 + (-l**2 + 0 + 0)*(-3 - 1 + 2))*(3*l**3 + 12*l**3 + 3*l**3).\nAnswer: 108*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -c + 15, 4*f + 32 = -5*c - 9. Sort f, -3, 540 in ascending order.\nAnswer: f, -3, 540","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 6:38 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*a**2 + 2*a**3 - 2*a**3 + 4*a**3 - a**3.\nAnswer: 3*a**3 + 14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -2085, 12, -3 in descending order.\nAnswer: 46, 12, -3, -2085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4938 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1408221.4 rounded to the nearest ten thousand?\nAnswer: 1410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 281737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4050005 and 136406.\nAnswer: 2292302830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 371, -16, -3, 1\/5, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 178 + -168 - (-510)\/(-52). Let a(c) be the first derivative of m*c**4 - 9 + 4\/13*c - 5\/13*c**2 + 2\/39*c**3 - 6\/65*c**5. Find d, given that a(d) = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssszsqqqqzt. What is prob of sequence sts?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -126273 (base 9) to base 16\nAnswer: -12be5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*x + 17*x + 6. Solve u - 3 = -2*u - 3*v, -4*v - 4 = x*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-6)*2 + 6. Suppose 2*f = t*f - 9. Solve 2\/3 + 2*g**2 + 2\/3*g**f + 2*g = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-206)\/103)\/(16\/224).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 11:49 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18469 - 6205 - 6196 - 6068 - 39*r**2.\nAnswer: -39*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*a**2 - 12 + 15*a + 10*a**2 - 5*a + 22*a - 15*a**2 to the form p*a + z*a**2 + v and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -9*a**3 + 139*a**2 - 52*a - 11. Calculate y(15).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/32658245 and 19\/70.\nAnswer: 457215430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**2 + 10*r - 6. Let u be g(3). Sort 4, u, -6 in decreasing order.\nAnswer: 4, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(75\/(-2)))\/2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (315\/30 + (-184)\/23)*(-2)\/(-155).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 19*n**2 + 9*n + 25. Let d be j(20). Let o = 1363\/7 + d. Is -0.3 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, 0.23, -58, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154866 is divided by 1535?\nAnswer: 1366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4842.26, -0.3, 13?\nAnswer: -4842.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 11*q**2 + 84*q - 427. Let w(p) = -15*p**2 - 126*p + 641. Let r(c) = -7*a(c) - 5*w(c). Factor r(t).\nAnswer: -2*(t - 12)*(t - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-4) - 189\/1. Let y = -159 - -67. Let c = y - d. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cahchdqiiiaccccdiid. What is prob of sequence aqc?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -32132911965 - -2771?\nAnswer: -32132909194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**4 + 0*o**4 + 2 - 2*o**4 - 7*o**3 in the form g*o**3 + z + s*o**4 + d*o + b*o**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v - 72. Give h(-24).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -218514.99 rounded to the nearest 1000?\nAnswer: -219000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 782430 - 782430.5699998. Let j = -0.57 - p. What is j rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 0. Let f = v - -7. Put 2, 0.5, f in ascending order.\nAnswer: 0.5, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12406431 (base 9) to base 16\nAnswer: 5ce075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**6\/120 - 17*r**5\/60 + 11*r**3\/6 - 10*r**2. Suppose -4*o = 5*p - 55 + 12, 4*p = -o - 3. What are the prime factors of k(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*d + 2*d + 16, 0 = 5*u - 3*d - 2. Is (-1)\/u - 0 - (-1729)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - s - 5. Suppose -14*r - 9 = -17*r. Let c be 9*(-92)\/1035 + ((-12)\/10 - 0). Let w(t) = -t**2 - t - 4. Calculate c*p(n) + r*w(n).\nAnswer: -n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.163, 2\/9, -0.0481, -3 in descending order.\nAnswer: 2\/9, 0.163, -0.0481, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen quarters of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 2:22 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((23\/5451)\/((-5)\/(-12)))\/(2\/5)?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 4*t - 1675 + 1590, -2*s - 104 = -5*t for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 8:17 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000092158 to 7 dps.\nAnswer: -0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/((r*r**(3\/10))\/r)*r)**(-1)*(((r*r**(-3)\/r)\/r)\/r)\/r*r**29)**49 assuming r is positive.\nAnswer: r**(9457\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.012? (a) -5 (b) 0.1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 6 = -4*f, -2*f = 2*b + f + 5. Let r be 4 + -1*(2 + b). Solve p = -q - 3 + 2, 5 = -r*p - 2*q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 8*a + 11. Let g be w(-9). Suppose -g*z = -7*z + 30. Suppose -n + 5*n = 5*n. Solve -2*h + 0 - z = n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621905391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8900 divided by -89?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 636 and 33780.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 952\/6003 + 4\/261. Let d be (-1)\/2 - (-810)\/368. Let o = y + d. Find the common denominator of o and 40\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 235?\nAnswer: 1\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooxooxx. Give prob of picking 1 o and 2 x.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8489)\/(-3) - (-3)\/9. Suppose 4*t + 4*o = 3768, g = 3*t + 4*o - 5*o. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 4:17 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.3, -3\/8, -0.4 in decreasing order.\nAnswer: 6.3, -3\/8, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 70 = 42*q - 3*q - 28, -5*q = -5*a + 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170572455 + 3.\nAnswer: -170572452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 6582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 20 = -2*i. Suppose 10 = i*w - 2*w. Suppose -a - 188 = -w*a - 5*u, 0 = -2*a + 2*u + 112. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2679 - 2676. Suppose -t + 2*g + g = -28, -5*t = -2*g - 75. Solve -12 = r + 2*r + k*u, -4*r - t = u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a**2 + 9*a + 2. Let k(t) = -15*t**2 + 26*t + 5. Let h(c) = -8*b(c) + 3*k(c). Let d(i) = -4*i**2 + 6*i. Let j(y) = 4*d(y) - 3*h(y). Determine j(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 d when four letters picked without replacement from {e: 1, d: 2, p: 1, m: 4, u: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3 + 2)*-3)\/1. Suppose -4*b + 5 = w*c - 0*b, -3*c + 8 = b. Suppose 12 = -g + 5*u, -c*u + 4 = -5*g + 10. Is g greater than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1463 - 1463.1147. What is d rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*f**3 + 88529*f**2 + 118199226*f - 1 wrt f?\nAnswer: -60*f + 177058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n**2 - 766*n + 2. Let x(y) = 17*y**2 - 1529*y + 5. Determine 5*t(m) - 2*x(m).\nAnswer: m**2 - 772*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**12*o*o*o*((o*o**(-36)*o)\/o)\/o*o assuming o is positive.\nAnswer: o**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*h = -4983, 2*x + 4*h - 3861 = 1119. Suppose 0 = -14*w + 5*w + x. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k + 3*k - 2*k + (101 + 150 + 79)*(0*k - k + 0*k).\nAnswer: -326*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*h + 145 - 32 = 0, -h = 5. Find the common denominator of -107\/60 and i\/((-56)\/7) + 455\/(-132).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*a + 324, -19*q - 232 = -3*a - 23*q. Is a smaller than 81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.53189 to 0 dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - w + 14. Let d be i(4). Let x(p) = -p**2 - 10*p - 8. Calculate the remainder when 77 is divided by x(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**5\/30 - 4*c**3\/9 - 29*c. Factor j(r).\nAnswer: 2*r*(r - 2)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1425290708 to the nearest integer?\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -9*x - 4. Let y = 62 + -36. Let a(q) = -2*q - 1. Let m(s) = -s**2 - s + 104. Let p be m(10). Give p*o(n) + y*a(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*o**4\/9 + 184*o**3\/3 + 292*o**2\/3 + 208*o\/9 - 16 = 0. What is o?\nAnswer: -18, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7305545?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 17. Suppose -4*l + 31 = q, -4*q = 3*l - 2*q - w. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 498 = -5*n, 0*b - 3*b - 4*n - 498 = 0. Let h = -122 - b. What is the remainder when 129 is divided by h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a**2 + 80*a - 84. Let z(r) = r**2 - 16*r + 17. Let y(g) = -2*q(g) - 11*z(g). Let o be y(-17). Let k(j) = 0 + 0 + 4*j + 2. Calculate k(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/17 (b) 1 (c) 2\/21 (d) -314 (e) 0.4 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 28397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14071, -28143, -42215, -56287, -70359?\n\"Answer: -14072*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/(-7 + 2) - -78. Let b(s) = -2*s**2 - 7*s + 12. Let u be b(-8). Let o = d + u. Solve -o = 2*w - 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -396 - -258. Let c = 228 + v. What is the third derivative of -2*l**2 - 9*l**6 + c - 90 wrt l?\nAnswer: -1080*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*f**3 + 17*f**2 - 7*f**4 + 4*f**3 + 10*f**4 wrt f?\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 363896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 16. Calculate v(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*l - 1128 = 75*l - 39*l for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*a - 25, m - a - 3*a = -18. Suppose -s - 27 = -3*c + m*s, 5*s - 63 = -4*c. Solve -b + 2*b - c = -3*h, -h = -5*b - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6282 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28344 by -24.\nAnswer: 1181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 779.4021um?\nAnswer: 779402.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25800164 divided by -26\nAnswer: 992314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90 + -91 - (1 + 0 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 1 - 5) + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 2, m: 1, x: 4, c: 7, t: 4}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(171)*1 + 4.\nAnswer: 4 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -283.7 * -44617.\nAnswer: 12657842.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 3:49 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5832 - 4846. Is 58 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-12)*b*b*(b\/b**(5\/7))\/b*b*((b\/(b*b**6))\/b)\/b*b\/b**(17\/5) assuming b is positive.\nAnswer: b**(171\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmlddldmmm. Give prob of sequence ld.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.295710843 - -78.295712333. Let z = v - 69. Round z to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 2620?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 36 + (-42 - 3).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/45 in 1\/3, 9, -1, 3, 6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5*(sqrt(91)\/sqrt(7) - sqrt(13)))**2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13 - -3 - 0\/2. Let j be (-3)\/(3\/v) + 1. Let t = j - -25. What is the remainder when t is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -471 - -1055. Suppose 0 = 3*x - x - c. Suppose -2*j = 3*t - x, -3*j - 3 + 0 = 0. What is t rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*(-1)\/1*(-1 - 0). Let f(m) = 6*m**2 - m + 2. Let v be f(2). Solve -4*q + 27 = -c - 4*c, a*c - 3*q = -v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - i + 2*i)*(2*i - i + 2*i)*(-2*i + i**2 - 1 + 1).\nAnswer: 3*i**4 - 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276*n - 281*n = 0. Suppose 5*f + 3*a = n, 0 = -a + a - a. Factor -3\/7*k**4 + 0*k**2 + 0 + 3\/7*k**3 + f*k.\nAnswer: -3*k**3*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14175*v + 1558*v - 9 - v**2 + 9 to the form i*v**2 + a + h*v and give h.\nAnswer: -12617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2684 a factor of 2798553120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-3) + (-1 - 1). Suppose l*f = -4*q + 17, -18 = -4*q + 4*f - 6*f. Suppose q*n - 4*n = 0. Solve 0 = -2*k - n - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u. Let j(x) = 156*x - 153. Let o(l) = 6*a(l) - j(l). Differentiate o(r) with respect to r.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*u - 8452 = -7332 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -45560 rounded to the nearest one thousand?\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4294896 rounded to four dps?\nAnswer: -0.4295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - c - 10 = 0, 7 + 30 = 4*k + 5*c. Calculate the common denominator of 318\/90 - k\/(-5) and -13\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 48468527*m**2. Let i(k) = 3*k**2. Give i(u(j)).\nAnswer: 7047594328649187*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (285\/(-380))\/((-2)\/128*6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 16*o - 2. Let z(t) = t - 1. Determine u(v) - 2*z(v).\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23244869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -5*u**4\/3 + 5*u**3\/2 - 15*u**2\/2 - 408*u + 2. Let v(q) = -q**2 - 2 + q + 4 - 3. What is -15*v(d) + x(d)?\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 18 = 2*g. Suppose -5*m = -2*y - 0*y + g, -3*m = -5*y + 56. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11210112 - 12120?\nAnswer: 11120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2930*n**3 - 3939 + 2935*n**3 - 5866*n**3.\nAnswer: -n**3 - 3939","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5510, 11004, 16486, 21950, 27390, 32800, 38174?\n\"Answer: -c**3 + 5501*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**4\/9 - 191*m**3\/9 + 1153*m**2\/9 - 1153*m\/9 + 62\/3 = 0?\nAnswer: 1\/5, 1, 6, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 10 = -5*x, 3*b + 0*x = -x + 12. Suppose -8 = -7*u + 3*u. Suppose -12*m**2 - b*m + u*m**2 + m = 0. What is m?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -131, 4, 0, 1 in descending order.\nAnswer: 4, 3, 1, 0, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8321303 rounded to the nearest 10000?\nAnswer: -8320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l + 4. Let i(o) = -1. Let r(s) = -3. Let m(n) = 7*i(n) - 2*r(n). Calculate -5*m(j) - p(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 8. Suppose 3*x - 3 = -21. Let q be b(x). Solve -5*v + n = -q + 3, 9 = -5*v - n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Let v = 0.1 + -5.1. Let x = t - v. Which is the third biggest value? (a) -0.5 (b) x (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -66 (b) -0.4 (c) -2\/19 (d) -2\/275 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 15, g: 4}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2194*h**3 + 6*h**2 + 8*h + 16. Let y be a(9). Round y to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1253410542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 6*f**2 + 8*f - 2. Let c(n) = -4*n - 11. Suppose 107*i = 104*i - 12. Let r be c(i). Does 10 divide g(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (0 - -2)) + (1 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17527 + 17569.958. Let q = -71 - -28. Let y = i + q. Round y to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4233\/4 - 1072. Let w = 41\/4 + h. What is the common denominator of (1\/3)\/(40\/186) and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98918.3 rounded to the nearest one thousand?\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-6)*u**24*u**(14\/3)\/(((u*u\/(u\/(u*u\/(u*u*u**(1\/12)\/u))))\/u*u)\/u) assuming u is positive.\nAnswer: u**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14\/51? (a) 1\/5 (b) -0.1 (c) 1.5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 136.4 - 122. Let u = w - 15. Let f = u - -0.599815. What is f rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 24. Let y(k) = -k + 14. Let q be y(m). What is the derivative of -26 - q*b**2 + 42 - 20 wrt b?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + -1 + sqrt(80)))**2 - -4*(3 + 3 + -3*sqrt(5) + sqrt(5))**2.\nAnswer: -496*sqrt(5) + 2324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 4*g + 14 = 0, 15*m - 15 = 18*m - 3*g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101980 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -9 (b) -3 (c) -175.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -38*r**3 - 8*r + 21. Let z(n) = -13*n**3 - 3*n + 7. Let m(j) = -3*h(j) + 8*z(j). What is the derivative of m(d) wrt d?\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8596 - -8595.6. Which is the biggest value? (a) -1.53 (b) i (c) 5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 b, and 1 c when three letters picked without replacement from {d: 4, h: 2, o: 2, b: 6, c: 3}?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21442 is divided by 874.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3*y - 55. Calculate the remainder when y is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101110010101001000100011 (base 2) to base 10.\nAnswer: -12145187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*f**2*i**2 - 15*f**2*i + 705*f**2 + 2*i**2 wrt i.\nAnswer: 24*f**2*i - 15*f**2 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13.53 + 13.73. Suppose 13 = -4*z - 31. Let a = z - -5. Which is smaller: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 732*m - 15975 = 93*m for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11850 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 466960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1eb (base 15) to base 7\nAnswer: -1205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18d6 + -4?\nAnswer: -18da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t - 3. Let r(j) be the second derivative of -j**3\/6 + j**2\/2 + 46*j. Determine -a(k) - r(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*b - 4*c, -c = -3*b + 4*c + 26. Suppose -5*a + b*r - 11 = 0, -a - 3*a + 5*r = 2. Let u = 3 + a. Solve -1 = -u*k + k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 317, 727, 1151, 1595, 2065, 2567?\nAnswer: 3107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, -2, 5, 7 in descending order.\nAnswer: 7, 5, 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 742 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -499\/2 + 245. Find the common denominator of -19\/6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k. Let r(h) be the third derivative of h**7\/504 - h**4\/24 - h**3\/2 - h**2 - 7*h. Let o(x) be the second derivative of r(x). Determine o(w(z)).\nAnswer: 245*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 62. Let b = -52 - s. Let a be (3 - -17)*b\/(-10). What is the highest common factor of a and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 972 and 17496?\nAnswer: 17496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 916013687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1008))*-4*-2.\nAnswer: 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65918.\nAnswer: 2, 23, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 41339, 328311, 1107225, 2624051, 5124759, 8855319?\n\"Answer: 40995*a**3 + a**2 + 4*a + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3. Suppose 4*z + 20*z = 96. Sort z, 3, q in decreasing order.\nAnswer: z, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -37*h - 3731. What is v(-83)?\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 3:15 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 888633504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*v - 50, 0*v + 83 = 5*m + 2*v. Let w be (-5)\/m - 16\/(-3). Suppose -w*r = -0*r. Solve r*f - f = -2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 6:40 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7706, 15404, 23100, 30794, 38486, 46176?\n\"Answer: -m**2 + 7701*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 2*w**2 - w**2)*(6*w - 5*w + 70*w).\nAnswer: -71*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(9\/2))**10\/(b\/b**0)**(-16\/3) assuming b is positive.\nAnswer: b**(181\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -2\/137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3725 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 129\/170 and -199\/529380.\nAnswer: 529380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6808 + -0.017996599?\nAnswer: 6807.982003401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + (-83 - -78).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/35 in 16, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/(-5))\/12 - -1. Let p be -2*(0 - 1\/(-5)). Sort p, -2, w.\nAnswer: -2, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**4 + 14*p**3 + p**2 + 4*p + 6. Let j(l) = 2*l**4 - 16*l**3 - 2*l**2 - 5*l - 7. Let y(i) = -7*f(i) - 6*j(i). Factor y(v).\nAnswer: -v*(v - 1)*(v + 1)*(5*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from xnxnxxx?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1003199, 2006335, 3009361, 4012223, 5014867, 6017239, 7019285, 8020951?\nAnswer: 9022183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78 + -80. Let g(p) = -2*p - 5. Let q be g(-5). Let b = 6 - 11. What is the biggest value in b, t, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10491*o**5 - 36316*o**3 + 31021121*o**2 - 10*o wrt o.\nAnswer: 629460*o**2 - 217896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -70045 divided by 5?\nAnswer: -14009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12152 - -5?\nAnswer: 12201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23958*j**5 - 322*j**4 + 3968*j**2 + 60704 wrt j?\nAnswer: -1437480*j**2 - 7728*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58.860777 + -0.041223. Let q = -29 + -30. Let a = q - s. What is a rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 + 13*b - 137. Give w(13).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 370291693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 2. Let a be (5\/o)\/(-5)*2. Let c = -3\/439 - 409\/4390. Is c < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82 - (27 + 26 + -20).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kiikkkkikikki. What is prob of sequence kkk?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 8*a - 5. Calculate y(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5198 + -5201. Let d = 5 + -5.1. Put x, 2\/11, d, 2 in decreasing order.\nAnswer: 2, 2\/11, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 25 = -6*l. Suppose 10*a + 1685 = l*a. Let p = -202 - a. Calculate the greatest common factor of 27 and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -1\/10, 5\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/5)\/(8\/(-20)). Which is bigger: c or 9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -288641, -288640, -288639?\n\"Answer: x - 288642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.6, -0.096, -4, -6, 34, 4, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7093.275nm to millimeters.\nAnswer: 0.007093275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h**2 - 45*h**2 - 3*h**2.\nAnswer: -62*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -293 - -292.7. What is the smallest value in f, 1, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -252*j**4 + 17264*j**3 - 8720*j**2 + 1088*j = 0.\nAnswer: 0, 2\/9, 2\/7, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -20*v**3 - 18*v**2 + 5*v - 6. Let w(a) = 7*a**3 + 6*a**2 - 2*a + 2. Let n(s) = -6*j(s) - 17*w(s). Does 5 divide n(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b + 2*i = 19*b + 522, -5*b - 5*i + 2590 = 0. What is the smallest common multiple of b and 2?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95601479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 56*q + 7000. Let l be m(-125). Solve l = -5*v - 2*s - 37, v + 4 + 19 = -3*s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27274219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(48)*2)\/sqrt(4))\/(3*sqrt(18)\/sqrt(3) - sqrt(6)).\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6645)\/3101 - 146\/7) + 39?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t + 7. Let r be w(5). Let n be -3 + (-3 - (-1 + r)). Suppose n = -b + 5*b. Solve -5*o - 7 + b = -k, 0 = -4*o + k - 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 7, -6506 in ascending order.\nAnswer: -6506, -5, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 1 = -m + 16, 0 = -5*v + 3*m + 39. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*c - 88 = -42*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 17*c + 6. Let q = -1 - -5. Let p be y(q). Suppose -5*g - p = -17. Solve -2 = -2*m + g*d, 0 = m + d + 2*d - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-108)\/378 - 11\/(-14). Which is the smallest value? (a) -3 (b) 0.3 (c) -4 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 6*h**2 + 4*h - 4. Let q be y(-5). Let u(w) = 54*w**2 + 1 - 9*w**3 - 23*w**2 - 24*w**2 - 9*w**2. What is u(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281796516*m**2 + 16*m**3 - 281796509*m**2 + 563593025*m**2.\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 321*a - 106*a - 108*a - 109*a. Let h(x) be the second derivative of 0*x**3 + 0 + 0*x**2 - 13*x + 1\/6*x**4. Give h(t(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4553 = 2182*p - 119257 - 2746 for p.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22, -43, -54, -49, -22?\n\"Answer: w**3 - w**2 - 25*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -414*x + 4175. What are the prime factors of p(6)?\nAnswer: 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - u = -3*u + 66, 0 = -5*b + 2*u + 179. Suppose 45*i - 9938 - 4642 = 0. Let y = i - 319. What is the highest common factor of b and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 269, 7, -48 in decreasing order.\nAnswer: 269, 7, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdd when three letters picked without replacement from qqqqqqqdqdqqqqqqqqq.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 40 = 2*g. Calculate the remainder when 159 is divided by g.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 1161*p + 1895. Let r(k) = 581*k + 950. Let c(d) = 3*n(d) - 7*r(d). Differentiate c(u) with respect to u.\nAnswer: -584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 713 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a**2 + 9*a**3 + 724 - 13*a**3 + a**4 - 747 + 3*a**2 - 16*a + 17*a to p*a**4 + v*a + d*a**2 + y*a**3 + s and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -97*d**5 - 2*d**4 + 2*d**2 + 48. Let m(y) = -y**5 - y**4 + y**2 - y + 1. Let n(p) = 2*m(p) - u(p). Find the second derivative of n(r) wrt r.\nAnswer: 1900*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 18*a + 23 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*k + 8*k + 100 = 0, 0 = 5*b - k - 424. What is the greatest common factor of b and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23354052.\nAnswer: 2, 3, 1946171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (5108\/3831)\/(((-6)\/8)\/(27\/168))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(336))\/sqrt(7) - -1*sqrt(192)\/sqrt(4))\/(sqrt(256) + sqrt(256) + (sqrt(256) - sqrt(256)*2*2)))**2 + 0.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 118118137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/9*477\/795)\/((-2)\/(-150))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.4 and 1507?\nAnswer: -2109.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.7, 0.8, -2\/35, -85.11?\nAnswer: -85.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42791.22um to millimeters.\nAnswer: 42.79122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -378 divided by -14.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {s: 5, t: 11}?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 198514592.6\nAnswer: 198514595.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 26\/(-6))\/(7616\/2856). Let p = 9.99 + -10. Which is the nearest to -1? (a) p (b) 2 (c) -1 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 37*u**2 - 87. Let q(b) = b. Give q(f(h)).\nAnswer: 74*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + (-13 - -11) + 9 - -10) + 9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 7. Which is the smallest value? (a) -3 (b) z (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 24037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 223941828 and 1914?\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19965*b**5 + 937862409*b**4 - 14685026845962*b**3 + 76636793209072752*b**2 + 107314420657703040*b + 30662941483901952 = 0.\nAnswer: -1, -2\/5, 172248\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -150577*x**3 + 5850*x + 2 wrt x.\nAnswer: -903462*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 293*z**2 + 811*z - 93. What is a(-3)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 7:17 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -396, -1059, -1988, -3177, -4620?\n\"Answer: q**3 - 139*q**2 - 253*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75917653.\nAnswer: 7, 227, 47777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve 129 - 269 = -70*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w - 11*w - 9*w.\nAnswer: -26*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwwkkbbpdwpy. What is prob of picking 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 7 - -3) + -1 - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/2 of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 8*x + 84. Determine p(-9).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 15*d - 2. Let z be u(-7). Suppose -z = -2*x - 6. Let h(c) = 4*c**2 - 24 + x. Let p(a) = a. Give p(h(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 10*p - 10 = -5*b, -5*b = 2*p - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 + 93414 - 93414.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 161. Let j = u + -145. Solve 0 = 5*t + z - 3*z + j, 7 = t + 4*z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a meter in centimeters?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**4\/12 + 25*y. Let d(o) = -9*o**2. Give -d(i) + 4*z(i).\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 7*j + 30*j**2 - 125\/6*j**3 - 1\/4*j**5 + 35\/6*j**4 - 1. Let u(b) = 0. Calculate b.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-560)*5)\/((-24)\/(-320)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(7\/2)*l)\/(l*l\/l**11)*(l*l**10*l)\/l*l*l\/l**(-4\/5)*l*l*l*l)**22 assuming l is positive.\nAnswer: l**(3443\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -0.1. Let w be (1\/2)\/(45\/(-6) - -7). Which is the closest to w? (a) 0 (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b - 5827 = -6067 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 + -6 - 28\/2. Let f be (-2)\/(-4) + (-106)\/b. Suppose 28\/3*v**3 - 4\/3 - f*v - 41\/3*v**2 = 0. Calculate v.\nAnswer: -2\/7, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45440.1395 rounded to the nearest one thousand?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -3, 33 in increasing order.\nAnswer: -4, -3, -1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6536, -6558, -6594, -6644, -6708, -6786, -6878?\n\"Answer: -7*u**2 - u - 6528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/2297 (b) 0.5 (c) -0.1 (d) -0.12 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 8469924.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**3 + 30335*x**2 + 46116600*x + 321331500 = 0. What is x?\nAnswer: -3030, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1680845 is divided by 1680809?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 194616\/(-3264) - (-135)\/(-40).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-2)*468\/45. Let j = z - 50. Let u = -22 - j. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 2:18 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 474?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -778734.76 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -11*q - 16. Let f(a) = -a - 2. Give -3*f(b) + w(b).\nAnswer: -8*b - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 3) + 8*-2. Let l = d - -14. Put 2, l, -1 in descending order.\nAnswer: 2, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 309 - 78. What is the greatest common factor of s and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 221?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8462, -17785, -27108?\nAnswer: -36431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506613 is divided by 111?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -527 + 546. Suppose 12 = 15*h - j*h, 3*h - 6 = -5*i. Solve -4*b = i + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/1837 (b) -0.3 (c) 0 (d) -5 (e) -3 (f) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 t when two letters picked without replacement from {c: 3, t: 8}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 - 19498238.\nAnswer: -19498221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/(888\/370).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 19, 0, -13, -5 in increasing order.\nAnswer: -13, -5, 0, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11776028055 take away -135?\nAnswer: -11776027920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 13) to base 3\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1179384.525 to the nearest one thousand.\nAnswer: 1179000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/165 and 34\/75.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h - 2. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 16 = d - 0*d, 2*b - 10 = -5*d. Calculate the lowest common multiple of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + z**2 - 2)*(7*z - 50*z**2 - 7*z)*(0 - 5 + 3) + (z**2 + 3*z**2 - 2*z**2)*(1 - 3*z**2 - 1) + 2*z**4 - 3*z + 3*z.\nAnswer: 96*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-46)\/(-2))\/(2\/4) is divided by (4*7\/42)\/(4\/96).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*q + 1513, 10*q = 8*q + 5*d + 1000. Let h = -266 + q. What are the prime factors of h?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 - -951. What are the prime factors of j?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 765 and 26767503.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 6*x - 2*x - 4*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-29)\/(-464))\/((-15)\/(-4))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*c + 26961 - 66. Let z = c - -329. What are the prime factors of z?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*i + i + 15 = 0, 5 = -2*h - i. Solve h = -3*v + 9 - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8878.596 litres in millilitres?\nAnswer: 8878596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from fkpfffffeffeppfffpf?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zoffuu. Give prob of sequence ou.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l**(4\/5)*l))\/l))**(1\/19) assuming l is positive.\nAnswer: l**(14\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 5*m**2 + 4*m + 5. Let v = -32 + 27. What is s(v)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.862 - 0.062. Let p = 48.2 + o. Let w = -59.00000046 + p. What is w rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 23*y + 2. Let d be t(0). Suppose 8*z - 3*z = 10. Suppose -36 = -d*a - z*a. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39949 and 18681.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/3 + 46*f**3\/3 + 233*f**2\/3 - 280*f\/3.\nAnswer: f*(f - 1)*(f + 7)*(f + 40)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17886776.\nAnswer: 2, 2235847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 3 - 159\/40. Let i(a) be the third derivative of 2*a**2 - d*a**5 + 0*a + 1\/8*a**4 + 1\/480*a**6 + 0 - 1\/3*a**3. Factor i(l).\nAnswer: (l - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 153\/369460 and -113\/1092.\nAnswer: 1108380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 13*n**2 - 12*n + 11. Let s be q(12). Suppose 0 = -6*a + s*a. Let o be (-2)\/15 - ((-142)\/(-10) - a). Which is bigger: o or -15?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 158 (b) -0.3 (c) 1\/2 (d) -69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygjkayj. What is prob of picking 1 k and 1 j?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**2 - 77*u + 62. Let r be z(-26). Let t be ((-3)\/(-2))\/(5\/(-10)). Let x = t - -15. Calculate the highest common factor of r and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-1 + 3)\/2). Which is the closest to -1\/4? (a) 2\/11 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**3 - 3*t + 6*t + 4*t to the form v*t**2 + y + u*t**3 + q*t and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.782 - 9.682. What is the nearest to w in -103, -2\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*f**3 - f**4 - 218*f**2 - 29*f**3 + 119*f**2.\nAnswer: -f**2*(f + 9)*(f + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81693 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: Product of 33 and -0.13.\nAnswer: -4.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 14\/4)*(-512)\/(-448). Let p(z) be the first derivative of -2*z - 2\/3*z**3 - 1\/6*z**6 + 4\/5*z**5 + 6 - z**k + 5\/2*z**2. Factor p(o).\nAnswer: -(o - 2)*(o - 1)**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -933 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 49 = 3*r + 3*k, -5*r = 2*k - 123. Let z = 293 + -277. Calculate the remainder when r is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33114 (base 13) to base 8\nAnswer: -264454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -0.2 (b) 8\/373 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*a**5 + 0*a**5 - 7*a**5 + 2*a**5 - 7*a**5 + 0*a**5 + (1 - 2*a - 1)*(a**4 - 2*a**4 + 2*a**4).\nAnswer: -3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19845 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmxx when four letters picked without replacement from xmmxx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000089107 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 74*w**2 - 3154*w - 1219. Give h(43).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 25 = -2*s - 6*x, -3*s = 3*x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -21074.80512 to the nearest integer.\nAnswer: -21075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 18. Solve 0 = 4*l - u + 21 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j + 10. Let y be 7\/((-28)\/12) + 1. Let n be q(y). Suppose 0 = -n*a - 0*a + 2*x - 2, 4*a + 4*x = 28. Solve -8 = -2*p + r - a*r, 6 = 2*p + 4*r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1497 + -443. Let a = 2525 - x. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + 1. Let a(r) = 2*r - 6*r - 2*r + 7*r - v. Give a(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 36*z = 34*z + 6, -3 = o - 2*z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-5*((-2*sqrt(2448) - (sqrt(68)\/sqrt(4) + -4))**2 - sqrt(51)\/(sqrt(48)\/sqrt(4))).\nAnswer: -2005*sqrt(17)\/2 + 53205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 4701695 and 0.07.\nAnswer: 4701695.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 9*p**2 + 10*p - 11. Let h be u(8). Suppose 0 = 4*m - h - 3. Suppose -c = 3, -l - c = -2 - m. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3e (base 15) to base 3.\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x**3 + 3*x + 2. Let g be s(-1). Suppose 843 = -g*n + 2154. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.500596 - -2.\nAnswer: 11.500596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*k - 73*k + 35*k + 130*k**2 in the form m*k + n + a*k**2 and give a.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, -2\/15, -2\/7, 0.13, 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 26*a**2 + 28*a - 31. Let f be v(27). Let p(q) = q**2 + 22*q + 80. Let m be p(f). Solve k + k = x - m, k - 2*x = -7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, i: 3, d: 5}. Give prob of sequence kd.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 3*k - 21. Let s be (k\/(-28))\/2 + 4479994\/(-14). Round s to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + 0*n - n**3 + n**3 - 4*n**3 + n**3 + (2*n**2 - 2 + 2)*(1 - 1 - n) + ((n + 0 + 0)*(4 - 3 - 2) - n - n + n)*(-5*n - 2*n - 5*n)*(n + n - n).\nAnswer: 19*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -4*m - 3*y, 3*m - 7*m - 5*y = -66. Suppose -3*b + 1 = 4*u, m*b = 15*b - 4*u - 11. Put -99, 0, b in ascending order.\nAnswer: -99, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -834 + 938.1. Let a = 104 - x. Let b = 2 - 3. What is the nearest to b in 4, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 361.00050268 - 361. Round a to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-109)\/(-5886)*-18*3\/(-7)*-518\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*n + 488 - 178 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 583*p + 918 = 592*p. Solve 0 = 22*b - 5*b - p for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103442 (base 6) to base 16\nAnswer: -2192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 4:21 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*i + 172*i + 294*i - 2211 = 0. Let h = -2.4 + 2. Put -1, h, 2, i in ascending order.\nAnswer: -1, h, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 12. Which is the closest to r? (a) 3\/2 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 4:56 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 396205793*i**4 + 604639313*i**2.\nAnswer: 9508939032*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 175 + 120*v + 47 - 58 + 4*v**4 + 141 - 3*v**4 wrt v.\nAnswer: 4*v**3 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/7 - 5918*b\/7 + 11828\/7.\nAnswer: 2*(b - 2957)*(b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2785 + 85237 = 2*s. Suppose 41*q - s = -9489. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 69 - 60 - (-2223 - 0). What is the highest common factor of 144 and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 43003 and -1.\nAnswer: -43003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -367647, -735298, -1102957, -1470630, -1838323, -2206042?\nAnswer: -2573793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2563 rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10566 + -10466. What is the least common multiple of x and 2420?\nAnswer: 12100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19517056 a multiple of 407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 + 525\/77 + (-240)\/(-594). What is the biggest value in -5\/12, -0.3, -0.08, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -492 + 344. Let k = -145 - v. Let m(x) = -x + 8. Let y be m(6). Which is the biggest value? (a) 1\/4 (b) k (c) -0.2 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-72)\/(-132))\/(3\/33). Suppose t*m - 9*m = -5*n + 193, 113 = 3*n + m. What is the highest common factor of 247 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 + 816a8?\nAnswer: 81710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 + 2*j**2 + 16374*j - 16374*j.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*j**5 + 1625*j**4 + 11*j**3 - 1338553*j**2?\nAnswer: -300*j**2 + 39000*j + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19192*x = -19194*x + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3\/7 + 18*h**2\/7 - 12*h\/7 - 32\/7 = 0.\nAnswer: -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -10*y**3 - 16*y - 11. Suppose 0 = t - 12 + 1. Let g(a) = 2*a**3 + 3*a + 2. Let z(r) = -3*r + 35. Let i be z(11). What is i*k(v) + t*g(v)?\nAnswer: 2*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2)\/n*n)\/(n\/((n\/(n*n**(-3)*n))\/n))*n**0\/n**(-5)*(n**(-1))**(22\/3)*n**(-7)*n*n**(-2\/3) assuming n is positive.\nAnswer: n**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 u when three letters picked without replacement from {b: 2, u: 1, y: 1, x: 3, s: 10}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 883 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1114578 or -1114516?\nAnswer: -1114578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -916\/3 - -306. Let y = -0.06 + 0.36. Let l = y + 0.7. What is the closest to -1 in -0.2, n, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 402363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + 5*a + a + 8671*a**3.\nAnswer: 8671*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1004353138?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2748*r**5 - 3953*r**5 - 14 + 810*r - 168*r + 10 + 112*r wrt r.\nAnswer: -134020*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q - 4*q - 33*q)*(6*q**4 - 4*q**4 - 3*q**4).\nAnswer: 42*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 7:06 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432 divided by 9.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039747 rounded to four decimal places?\nAnswer: -0.0397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-64)*(-9940)\/(-67095)?\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b**2 + 2*b - 7. Calculate z(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-0.4386763.\nAnswer: 0.04386763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -10*z - 30 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {u: 2, t: 3, w: 5}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2, -5, -3, 75 in increasing order.\nAnswer: -8, -5, -3, -2, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*s**4 - 13\/3*s + 7\/3*s**2 + 2 + 1\/3*s**3 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128550?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 3*v**2 - v + 6. Differentiate g(b) with respect to b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 35\/12*i**4 - 146 - 1\/6*i**6 + 1\/2*i**5 + 0*i**2 + 10\/3*i**3 - 2*i. Solve f(b) = 0 for b.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5653 and 1.896?\nAnswer: 1.0718088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 14972103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 445883444 by -222941722.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13628992 minus -4567997?\nAnswer: 18196989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 269, 259, 227, 161, 49, -121, -361?\n\"Answer: -2*m**3 + m**2 + m + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 24\/11 (b) -43 (c) -3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + (-39 - -16) + 24.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/3 - (7 - 3). Let p = -2 - -7. What is the second derivative of p*w + 15*w**3 - 6*w + o*w - 6*w wrt w?\nAnswer: 90*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pfa when three letters picked without replacement from {t: 2, e: 5, a: 2, p: 4, f: 1}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -28*y**3 - 2*y - 1. Let q be c(-1). Let p = -17 + q. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + -25. Let m = h + -20. What is the remainder when 2 + 74*(-4)\/(-8) is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, z: 1, g: 3, p: 5}. Give prob of sequence zvpp.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -138593\/374 + 629585369\/1709928. Let y = 1\/2286 + j. Find the common denominator of y and -97\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/3, -4, 38 in decreasing order.\nAnswer: 38, 1\/3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8\/13 (b) -0.4 (c) -0.2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -4, 0, 497, 4.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 958*i**2 - 7664*i + 477. What is y(-8)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -56313 and 1389041192.\nAnswer: 1388984879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -122\/23 - -953\/184. What is the nearest to 0.1 in s, 1, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*y - 8 = c, 4 = -y. Suppose 5*s + 2*o = -8, 2*s + 5*o + 1 = -s. Put s, -1, c in ascending order.\nAnswer: s, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 695\/1839?\nAnswer: 695\/1839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/175 and 137\/120.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84076 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -23203 divided by -1482?\nAnswer: 23203\/1482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/16*(-99)\/((-594)\/(-1344))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2, 0 = 5*m + 5*w - 3 - 17. Differentiate 631*q**2 + m*q**3 - 631*q**2 - 37 + 203*q**3 with respect to q.\nAnswer: 624*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21012*q**3 - 105292*q**2 + 503128*q + 5568 = 0. Calculate q.\nAnswer: -8, -58\/5253, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-2\/3)*u\/(u**(3\/8)*u*u))**(-17\/2)*(((u**(-2\/3)*u)\/u)**(3\/34))**17 assuming u is positive.\nAnswer: u**(-31\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 125 - (-14666 - -14558)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s = -66. What is the remainder when s is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3)*6\/4. Let v be (-15)\/(-9)*3 + -11 + 7. Suppose 7 - v = -3*n. Put o, n, 4, 12 in descending order.\nAnswer: 12, 4, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.91 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 130*c + 1158. Give l(11).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*sqrt(76))**2 + ((sqrt(931) + -1 - sqrt(931))*-3)**2 + 2.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 20*t**2 - 10*t + 4. Let n be d(7). Is (n\/10)\/(3 - 70\/25) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.116 - 0.016. Let d = 20.1 - p. Put -0.4, 1\/5, d in decreasing order.\nAnswer: d, 1\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from {d: 13, p: 5}?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 153 - 11. Let y = -141.9823 + a. Round y to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 3, j: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5630188, -5630187, -5630186, -5630185, -5630184?\nAnswer: -5630183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -2418810 and -2418810 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1490952 to the nearest integer?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**3\/13 + 608268*u**2\/13 - 3557502186*u - 184999846088\/13 = 0.\nAnswer: -4, 152069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -2db4?\nAnswer: -2db7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-23)\/2 + 8 + (-99)\/(-36). What is the nearest to -3\/11 in u, 4\/7, -12\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 7*b - 316. Let g = -258 + b. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.86 + 5.76. Let p = a + -3.14. Let i = -0.56 + p. Round i to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-3)\/(-5))\/(135\/(-150)))\/((-2)\/15). Solve -41 = k*j - 4*s, -5*s + 16 = j + 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-4 - (3 - 14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 155409035 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 812\/87*51\/34?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1008)*-2)**2.\nAnswer: -4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*g + 6*g + g + (-2 + 1 + 2)*(3*g + 3*g - 5*g))*(-8 + 1 - 1).\nAnswer: 112*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 12 + 5 + 31*q.\nAnswer: 31*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/5 (b) -5 (c) -13\/4 (d) -265 (e) -23\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7246490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*x**2 - 3*x**2 + 12 - 4*x**2 - 36*x.\nAnswer: 3*(x - 2)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 92 = 42*j + 46. Is j >= -125\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 0 - 50\/3*i**3 + 4*i**2 + 0*i - 5\/3*i**4 - 1\/15*i**5. Factor z(k).\nAnswer: -4*(k + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/793557 and -149\/81810.\nAnswer: 7935570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32817*r + 1295 = -32780*r for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-81))\/(2\/24 - 2\/(-8))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10749*c - 34 + 3*c**2 + 10749*c.\nAnswer: 3*c**2 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -72.78308179898?\nAnswer: -74.78308179898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 674911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-1) - 4 - -6. Suppose -4*s - 1 = c*u - 5, -2*s - 24 = -5*u. Differentiate u*i + 4 - 7 + i - 2*i with respect to i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 25\/2 of a kilometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -9, -3.\nAnswer: -9, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 13*q**4\/8 + q**3\/3 + 58*q**2. Let a(u) = 2*u**2. Give a(z(g)).\nAnswer: 3042*g**2 + 312*g + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 0*c - 2. Let p = 0.14 - -0.16. Let h be (-1)\/(-3) + (-10)\/12. Put p, c, h in decreasing order.\nAnswer: c, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19\/4? (a) -5 (b) 0.6 (c) 0.2 (d) -0.2 (e) 3\/235\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.94*0.06296\nAnswer: 0.0591824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(21) + -5*sqrt(63)\/sqrt(3))\/(sqrt(35)\/sqrt(45)) + 4.\nAnswer: -12*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9473139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 4:51 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/23 (b) -0.2 (c) 2\/35 (d) 45 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 7:00 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 350\/(-15)*(-48)\/10. Suppose -j + 5*j - t = 0. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 486420 divided by -24321?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 2\/8147263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 12*z - 244 + 24 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200810?\nAnswer: 2, 5, 43, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s - 6*s - 6*s + s + 4 - 4 + 4 - 4 - s + (2 + 1 - 2)*(-s - s + s) + 2*s - 1 + 1 - s - 4*s + s to the form v + z*s and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**6\/60 - x**4\/24 - x**3\/6 - x**2. Suppose -u - 2*u - 3 = 0. Let k be y(u). Solve -5*t - 4*z + 14 = -26, k*t - 3 = z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6533760\/192 - (-2 + 25).\nAnswer: 31, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -870.00807 + 870. Round l to four dps.\nAnswer: -0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2)*((-18)\/(-4))\/9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -176, -358, -542, -722, -892?\n\"Answer: m**3 - 7*m**2 - 168*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*((-3424)\/(-240) - 14).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/12 and 133\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**4\/12 + o**3\/2 - 2*o. Determine i(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4733*a*b**3 + 2*a*b**2 + 32*a*b - 8*b**3 - 23*b**2 + 17*b wrt b.\nAnswer: -28398*a - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*j + 100. Let d(h) = h + 6. Let m be d(4). What is the greatest common factor of m and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 599707?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 2*i + 16. Let u(g) = g**2 + 2*g - 14. Let o(k) = -5*a(k) - 6*u(k). Determine o(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3343 + 3345. What is the least common multiple of p and 265?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 727*f - 14 - 41 - 733*f.\nAnswer: -6*f - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(3025))\/(sqrt(5) + -1*-2*sqrt(5)) - (-5 + sqrt(605) + -1 + sqrt(605) + (sqrt(605) - 5*-1*sqrt(605)))*1)**2.\nAnswer: -1100*sqrt(5) + 378449\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 40 = -5*t + x, -4*x = 0. Suppose y + 2*y = 6. Solve 2*g = 4*w + 6*g - t, -y*w = -5*g + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 2. Let b be p(0). Let c = 18 + -13. Suppose -3*h + 0*h + 18 = -b*z, 5*z - c = -5*h. Which is greater: 3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.2, 7, -5.\nAnswer: -5, 0.2, 2\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 12*d - 9. Let k be m(-7). Suppose -1 = -2*v - 2*f + 19, -5*f + k = 3*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -14, 7, 5, -37, 2 in descending order.\nAnswer: 7, 5, 2, 0, -14, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 87 and 292616181.\nAnswer: 292616268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60963162 is divided by 55522?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -65, -134, -203, -272?\n\"Answer: -69*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 281 = -4*m - 263, 0 = -2*f - 5*m + 9 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0148433 rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98105516?\nAnswer: 2, 24526379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**4 - 3*q**4 + 2*q**4 - q + (19*q**2 - 5*q**2 + 4*q**2)*(-4*q**2 + 5 - 5) in the form m*q**4 + v + x*q**2 + y*q + j*q**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 558725 less than -35?\nAnswer: -558760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 + 300 = 5*i. Suppose 137 = 5*t + 3*m, 0*m - m - i = -3*t. Let r(j) = 2*j + 3. What is the remainder when t is divided by r(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**5\/13 + 114*y**4\/13 + 116*y**3 - 2088*y**2\/13 - 6064*y\/13 + 6528\/13 = 0.\nAnswer: -34, -24, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44341559 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 3*v - 9 - 3, 7952*l - 4*v = 7949*l - 19 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -7. List the prime factors of (-3)\/(-5) + 47\/b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1164 or -1158?\nAnswer: -1164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 + -27. What is the common denominator of (21\/(-112))\/((-1)\/(-29)) and ((-10)\/16)\/((-2)\/z)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16268 a multiple of 353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101859.\nAnswer: 3, 19, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s + 36*s - 160272 = 0. Does 24 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4238660 take away 17920?\nAnswer: 4220740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 28*b**2 + 28*b + 40. Let h(k) = 6*k + 59. Let d be h(-5). Let n be q(d). What is the highest common factor of n and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 + (211 - 12\/12) is divided by 68?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 12*m - 18. Let p(x) = -8*x**3 - x**2 + x - 1. Let t be p(1). What is the remainder when o(t) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -367215459, -367215455, -367215449, -367215441, -367215431?\n\"Answer: f**2 + f - 367215461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 17*j**3 + 1 + 2*j**3.\nAnswer: 19*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36184?\nAnswer: 2, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 41*y**2 + 135*y + 203. What is l(-39)?\nAnswer: -2020","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*i + 3, 5*i = -0*i - 3*b + 11. Let u(n) = -n + 1. Let t be u(i). Is t smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*s + 5*s. Suppose -3*v = s*d + 31, 2*v = 3*d - 4*d - 2. Let h(w) = -20*w + 1. Is h(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 6*z - 5. Let h be y(4). Let f = 0.11 - 6.11. Let m = f - -4. Which is the third smallest value? (a) m (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -17*r**2 - 16*r + 10. Let j(u) = 20*u**2 + 17*u - 12. Let h(p) = 6*j(p) + 7*k(p). Calculate h(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83\/6 - 41\/3. Let f be ((-1)\/(-6))\/((-22)\/33). What is the nearest to f in -4, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/3982533 and -61\/570.\nAnswer: 39825330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -208 + 452. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (430\/301)\/(2\/14). Suppose 5*i - 5*t - 5130 = 0, -6*t = -4*i - o*t + 4112. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73007.432 rounded to the nearest ten?\nAnswer: 73010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -3*b + 327. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/19, 12, -1\/998, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/18491?\nAnswer: -2\/18491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5149, -10292, -15431, -20566?\nAnswer: -25697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -8) + -9 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 462842582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, w: 1, q: 14}. Give prob of sequence nq.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 6*l + 5*l. Let r(a) = 4*a - 1. What is r(l)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqq when three letters picked without replacement from qccaqqabuuqqaqcqc?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 l when two letters picked without replacement from {h: 4, k: 3, i: 2, l: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -17, 0, 5 in increasing order.\nAnswer: -17, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 193968 or 193967?\nAnswer: 193967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 12:21 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = w + 30, 720*w - 721*w = -4*n + 24. Let f(b) be the second derivative of 0*b**2 + w + 13\/6*b**3 + 11*b. Let h(k) = 2*k**2. Determine h(f(g)).\nAnswer: 338*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1569*d**3*r - 2*d**2*r*w + 1112*r + 3*w wrt d?\nAnswer: -4707*d**2*r - 4*d*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2456758?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 894601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -186046682 divided by 389219?\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 35 + 20. Let o = -6 - -14. Is o less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7)*v*v)**(1\/4)\/(v*v**(-5\/3))**(1\/63) assuming v is positive.\nAnswer: v**(-937\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**3 + o**2 + o - 6. Let n be b(2). Suppose 105 = -n*m + 35*m. Round m to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 90?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -7*y - 40. Let l be s(-8). Suppose -5*m = -4*g + l, -5*m + m = g + 17. What are the prime factors of (-55 - -59) + g + 162 + 0?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110 (base 2) to base 7.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 327 - 432.5. Let s = 0.21 + -11.11. Let q = t - s. What is q rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36.9*0.53.\nAnswer: -19.557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-2 + 7))*((-45)\/(-6) + -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 10612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4146, -11959, -19772?\nAnswer: -27585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -13118, -5, -0.4, 1\/23?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -33514527 and -33514526 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 15 = 5*v, -c - 3*v + 0 + 9 = 0. Let -2\/13*t**3 + c + 0*t - 4\/13*t**2 + 2\/13*t**4 = 0. What is t?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16476241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*g**2 + 271*g**2 - 90*g**2 - 92*g**2 - 6*g**3 - 8*g**3.\nAnswer: -14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 - 4)*(-3*q - 5*q + 6*q) to the form i + v*q and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 + 141\/4. What is the closest to -0.1 in t, 2\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3312 (base 4) in base 6?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a + 4. Suppose 3*k = -2*s + 31, 3*k - 2*s - 41 = -6. What is p in 4*p - k*p**2 + 4*p**3 + 5*p**2 - p**4 + 3 - a = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44831055 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: Find the first derivative of 218*d + 404*d - 1329*d - 182 + 13*d wrt d.\nAnswer: -694","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 492?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 5169180?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d. Let r(f) = -843*f + 15. Let v(k) = -2536*k + 42. Let w(p) = -14*r(p) + 5*v(p). What is o(w(x))?\nAnswer: 1756*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1064 - -1063.6. What is the third biggest value in -0.2, 20, 2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 5)*(-9 + 9 - a)*(a**2 - a**2 + a**2).\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**3 + 8445*x**2 - 3540771*x - 16906238973 = 0.\nAnswer: -2067, 1319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 318809740 and 8.\nAnswer: 637619480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 27\/(-21) - (-1122)\/7. Suppose 0 = 8*o - b + 40. Let n(p) = p + 3. What is the least common multiple of n(0) and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**5\/4 - 3*x**4\/4 - 37*x**3\/4 + 51*x**2\/4 - x - 3 = 0. Calculate x.\nAnswer: -3, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 921380.6 decades to millennia.\nAnswer: 9213.806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 11805491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104218615 by 4.\nAnswer: 104218615\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 6 = x. Let u = x + 5. What is the closest to 2 in u, -0.3, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 6*k**2 - 113*k + 30. What is the remainder when 289 is divided by x(-14)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, b: 5, d: 1, w: 1, h: 6}. What is prob of picking 2 b and 1 m?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 13*m + 30. Let p be q(4). Let l(k) be the third derivative of -k**4\/24 + k**3 + k**2. What is the lowest common multiple of 28 and l(p)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107428 divided by 4.\nAnswer: -26857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u + 31. Let a be y(7). Let s be 2\/3 - 16\/18. What is the nearest to 1 in s, a, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 5, -5, 3, -1, 3562?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 567496861 a multiple of 1249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1241846, -2483732, -3725618, -4967504?\n\"Answer: -1241886*t + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2 + (-18 + 2 - 3)*(-3 + 6 - 2))*((3*l**3 - 2*l**3 - 4*l**3)*(l**2 + 2*l**2 - l**2) + l**5 - 2*l**5 + 4*l**5).\nAnswer: 60*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/28 + (-28)\/602 + 403572\/(-364812).\nAnswer: -1\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11809 - -11816. Solve -m*j - 287 + 259 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + -1c?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 5499*b**2\/2 + 9*b + 2. Let d be q(4). Let y = d - 1056293\/48. Find the common denominator of -53\/2 and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 8:01 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 16 - (0 - (-3 - -1)) - 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3\/4 (b) 7 (c) -1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5166\/24*(-64)\/(-24) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 677 - 1?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**3 + 3*o**3 + o**3 - 2*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-3))\/(57\/18))\/((-21)\/210*-20)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvvv when four letters picked without replacement from {v: 5, f: 2, a: 1, i: 6, w: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21021 + -2?\nAnswer: 21012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 6*k - 28. Suppose n = f - 45 + 2, 31 = f - 5*n. Let t = -27 + f. What is the remainder when t is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 2*w = 76, -5508*w = 3*s - 5510*w + 110 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*(sqrt(36)\/(sqrt(4)*-1) - sqrt(99)\/(2*sqrt(11))))\/(-6*(sqrt(3)*-1 - sqrt(3)) + 4*(sqrt(27) + sqrt(3))).\nAnswer: 45*sqrt(3)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-192)\/(-42))*(-71028)\/3946\nAnswer: -63\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 2*k - 5*k. Let z be (-108)\/(-24) + (-35)\/(-14)*2\/10. Let u = z + k. What is the remainder when 63 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 + 61 - 129 + 68.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163405?\nAnswer: 5, 11, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -198*y**2 - 84*y**2 + 20*y**2 to o*y + c*y**2 + v and give c.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 29326353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5918, 27531, 63554, 113987, 178830, 258083, 351746?\n\"Answer: 7205*j**2 - 2*j - 1285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 1 + 3. Let q be -5*((-2)\/(-2) + -2). What is the third derivative of -x*h**2 + 5*h**2 - h**q - 2*h**2 wrt h?\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g. Let f(r) = -r**2 + 3*r - 1. Let j(s) = -3*d(s) + f(s). Let n(m) = -m**3 + m + 1. What is -j(l) - n(l)?\nAnswer: l**3 + l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1754, 3512, 5270, 7028, 8786?\n\"Answer: 1758*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*r**2 + 2*r**2 + 2)*(-15*r + 36 - 36).\nAnswer: -30*r**3 - 15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g - 3*g**4 + 0*g**2 + 2*g**2 - 2*g - 2*g**3 to the form j + o*g**2 + y*g**3 + u*g**4 + t*g and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**8\/112 - 3*k**7\/70 + k**6\/20 + 3*k**5\/5 + k**4 - 20*k**2. Find v such that g(v) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**5\/13 + 2*c**4\/13 + 54*c**3\/13 + 54*c**2\/13 - 108*c\/13 = 0.\nAnswer: -3, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a millennium in months?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 37*y**2 - 1518*y - 191987. Let z(w) = -23*w**2 + 1012*w + 127993. Let t(h) = -5*s(h) - 8*z(h). What is d in t(d) = 0?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(5)*1 + 3 + sqrt(5) + 1.\nAnswer: 2*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1214230324 + -332?\nAnswer: -1214231211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4002.458 millennia to years.\nAnswer: 4002458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*a + 41*a**3 + 2*a**4 - a**2 - 43*a**3 + 11*a + 5 in the form j + v*a**4 + f*a**3 + g*a**2 + l*a and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*p = -2*v + 11, -2*p = -3*v - 26. Let s(t) = -2*t - 16. Let g be s(v). Suppose -o + 159 = -g*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/11, 0.21 in descending order.\nAnswer: 0.21, 0.2, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4357)\/3*18\/(-2). Suppose 4*w - 3909 = i. Suppose w = -t - 6555. What is t rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 341499430 times 2\nAnswer: 682998860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2020*l - 2054*l + 68. Solve 15 = 2*p - 5*s, 36 = 7*p + l*s - 3*s for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 65420 or 65472?\nAnswer: 65472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 167 + -170. Let h(c) = -c**2 - 7*c - 3. Give h(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 22*h + 15. Let d be s(22). Solve -t = -3*i - d, -t = 5*i - 2*t + 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3851*j + 4 + 151*j - 3033*j - 1.\nAnswer: -6733*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420*m - 417*m - 6 = 0. Solve -2*j - 2*i = -6, -18 = 2*j - m*i - 2*i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 1465?\nAnswer: -1460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.82 - 0.42. Let i = -4 + k. Suppose 175 = 243*o - 1454 + 171. Is o bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.0728m to micrometers.\nAnswer: 85072800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (136\/(-8) - -8)*(-7)\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 2*j)*(-194*j**2 + 614*j**2 + 255*j**2 + 583*j**2 - 151*j**2) in the form b*j**3 + d*j + c*j**2 + v and give b.\nAnswer: 2214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 898 < 898?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z - 27 + z**3 + z**2 + 39 - 46 to a*z**2 + r*z**3 + p*z + d and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/117*(-1 - -4). Suppose t + 4*j + 61 = 0, -3*t - 161 = 3*j - 2*j. Let q = t + 53. Is o at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/9? (a) -1 (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0499 - -13.9901. Let f = 14 - c. Sort -0.3, -1\/3, -2, f in ascending order.\nAnswer: -2, -1\/3, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9285980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2880, -3094, -3308, -3522, -3736, -3950?\n\"Answer: -214*t - 2666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56731231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 12 = -2*z, -3*z + 46 = -13*a - 7*a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20, -8, -56, -124, -212, -320, -448?\n\"Answer: -10*n**2 + 2*n + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txxxxxxxxxxxxxxxxx. Give prob of picking 1 t and 3 x.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 - ((-3)\/(-6) - 1030\/4)?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*x - 847 = -100*x. Let n = -116 - x. Solve -n*d + 84 - 104 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4*sqrt(11) + -1)**2.\nAnswer: 8*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16283.\nAnswer: 19, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93)\/434*(-280)\/10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84182237.\nAnswer: 197, 331, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + sqrt(112)).\nAnswer: -16*sqrt(7) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5 = -29. Let i(a) = a**2 - 7*a - 10. Let l be i(w). Let t be (-5)\/(15\/(-4)) + l. Sort -0.1, t, 0.4 in increasing order.\nAnswer: t, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18172 + 18457. Solve 341 = -7*k + q for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*w = 778, -782 = -4*c - c - 2*w. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9748919 rounded to three decimal places?\nAnswer: 4.975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**2 - 187\/3*f**3 + 3 + 0*f. Let v be y(4). Round v to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**5 + 378*h**4 - 17340*h**3 - 19580*h**2 + 89658*h - 53118 = 0.\nAnswer: -227, -3, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19632 - 14656. Is x a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 2:57 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -7*s + 39. Let l(w) = 26*w - 135. Let u(q) = 11*j(q) + 3*l(q). Let x(z) = -77*z**2 + 2. Give u(x(y)).\nAnswer: -77*y**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.05 (b) -2\/13 (c) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20539517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.019, -3, -5\/4, 319?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 6*t**2 - 6*t - 1. Let n be l(-5). Solve 0 = -5*d + n*h - 21, -3*d - 2*h = -0*d + 17 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + d - 4 - 15, 3*d = -2*k + 1. Let x(u) = 6*u**2 - 4*u - 2. Let v be x(k). Suppose -v = -q - 4*q. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 8. Calculate h(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3545453.\nAnswer: 29, 179, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -199*u**2 + 5*u + 48. Determine b(3).\nAnswer: -1728","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*n - 4205 + 5085 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -288, -599, -910?\nAnswer: -1221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 0*k**3 - 1\/420*k**6 + 0*k**4 + 0 + 2*k**2 + 1\/210*k**5 + 0*k. Factor b(l).\nAnswer: -2*l**2*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 4*b**2 + 7*b - 8. Suppose 3 = -2*y + 13. Let h be d(y). Suppose 2*f - 616 = -0*j - 2*j, -h*j - 3*f = -614. Round j to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 82*v**3*y**2 + 113*v**2*y**3 + 4316*y**3 wrt v?\nAnswer: 246*v**2*y**2 + 226*v*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from fyfuupuyfffy.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a - 5. Let n be w(-7). Let j(u) = 7*u - n*u + 30 + 5*u + 0*u. What is the units digit of j(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 63 = -3*z - 62, -4*z = 5*g - 32 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snu when three letters picked without replacement from stjuunq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from juwss. What is prob of sequence ssuw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 5.4. Let r = -81454 - -81454. Put -1\/67, n, 1\/6, r in descending order.\nAnswer: n, 1\/6, r, -1\/67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -0.5, -0.063, 0.5, 1\/5.\nAnswer: -23, -0.5, -0.063, 1\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1304473 divided by -1\nAnswer: -1304473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17974110403 + 17974110403 - 9*s.\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 - 3*m - 5. Let p = -1 - 5. Let i be (-4)\/3*27\/p. Is v(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*z - 15*z + 8. Suppose -x + 46 = w - 61, 2*x = z. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*m + 2. Let t = m - -6. Suppose t = -3*i + 2*n + 3, 0 = -4*n + 16. Sort -2, -5, i in descending order.\nAnswer: i, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157345.\nAnswer: 5, 31469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*(0\/(-3) + 2). Let k be (42\/35)\/(4\/i). Suppose -y - 10 = -k*y. Solve 5*p + 35 = -y*g + 2*p, -p = 4*g + 21 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 0)\/(-1 + (-20)\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7361 - 84?\nAnswer: -7435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -1727564\nAnswer: -3455128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1245 - -1265) + (-60 - (4 + -2))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16\/7 (b) 1 (c) -111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o**2 - 11*o + 11. Let r(w) = -3*w**2 + 6*w - 6. Let n = -32 - -26. Let t(m) = n*a(m) - 11*r(m). Let h(i) = -3*i + 3*i - 3*i. Give t(h(s)).\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180664 is divided by 4202?\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 121.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5*q - 44880, -2*q = 32*b - 27*b - 17952. List the prime factors of q.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 3392?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1476988, -1476989, -1476988, -1476985, -1476980, -1476973, -1476964?\n\"Answer: w**2 - 4*w - 1476985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*z = -566*z + 254*z - 12788 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/7*(-4)\/(16\/14). Suppose s*d = -r + 5, -5*r = -5*d - r - 7. Are 4\/29 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/120314 and -21\/2.\nAnswer: 120314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 334*t**2 + 1 - 166*t**2 - 165*t**2 + 12*t as p + d*t**2 + a*t and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -26009510.5 to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + v**2 + 8*v - 2. Let h be t(3). Let m be 3\/1 - 2\/2. Let n = 1 - -4. Solve -h*u = -n*u - m*q - 3, 5*u + 5*q - 5 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -43624\nAnswer: 17449.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/3? (a) 5 (b) -1\/3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 585428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 90, 2, -3, 11, 12, 0 in decreasing order.\nAnswer: 90, 12, 11, 2, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(45)\/(sqrt(9) + sqrt(441)) - ((sqrt(20)\/sqrt(2))\/sqrt(2) - (-1 + sqrt(245) + sqrt(245))**2).\nAnswer: -231*sqrt(5)\/8 + 986","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 6*s = 3*u + 9, -2*u - 17 = 3*s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 148194 and 469281.\nAnswer: 2815686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -410.\nAnswer: -7\/410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-6)\/b)\/((b\/(b**(-6)\/b))\/b))\/(b*b**1*b)**(-5\/18) assuming b is positive.\nAnswer: b**(-79\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(66)\/sqrt(6) + 1 + -4 - 6*(4 + sqrt(99) + sqrt(99)*2))**2.\nAnswer: 3180*sqrt(11) + 31799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 37*v. Let t(a) = 56*a + 21. Give t(j(y)).\nAnswer: 2072*y + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -696, -1393, -2090?\nAnswer: -2787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (27\/15)\/(-3)*(4 - 14). Suppose 4*j - t*j + 32 = 0. What is the remainder when j is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44006*k**2 + 451 + 471 - 922.\nAnswer: -44006*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, s: 3, g: 4}. What is prob of sequence sgcg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 537407414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 383622 - 2*t + 2*t**3 - 383622 - 29*t**2 + t**4 as d*t**4 + x + i*t**2 + a*t + w*t**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 16 + 5)*(-6 + 2 + 2)*(4*p - 4*p - 5*p)*(-p**2 - 2*p**2 + p**2).\nAnswer: -500*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2090158 and 16273373.\nAnswer: 227827222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 9*c**2 + 11*c - 6. Let f = 229 + -221. Calculate u(f).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -2\/9, 0.03, -0.5 in decreasing order.\nAnswer: 66, 0.03, -2\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 718364.8ml in litres?\nAnswer: 718.3648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 1:38 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 182887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.3 less than -303.15948?\nAnswer: -326.45948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**5\/150 + w**4\/10 + 22*w**2. Factor r(k).\nAnswer: 2*k*(k + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 50*u = 2*u + 560 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or 0.028376345?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 + 59. Solve 0 = 2*s - 3*n + 4, -5*s - x*n + 6*n - 1 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*q + 4 = 0. Let h = -0.1019 + 5.1019. Is q less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2916 + 2920. Solve 2*f - z - 30 = -27, 4*z + 16 = q*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.52 - 0.12. Let p = -63\/2 - -32. What is the third smallest value in h, p, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 4*q**2 + 2. Let s be z(-4). Let i = 2 + s. What is the least common multiple of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y + 0*y - 2*y - 2 + 0*y - y. Calculate r(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 63\/3710*1015\/12. Let d = 1688 + -268415\/159. Let w = m + d. Find the common denominator of 31\/7 and w.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l - 6. Suppose 4*k - 4 = -4*i, 9 - 2 = 3*i + 5*k. Let f = 4 - i. Let m be p(f). Solve 0 = -2*y - 0*y - m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*z - 140, 22*z = -l + 18*z + 56. Suppose -l*n + 1683 = -189. Let y(c) = 6*c**2 - 6*c + 5. Calculate the remainder when y(4) is divided by n.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z - 3*z**3 + 2*z + (z - 2*z + 2*z)*(2 - z**2 - 2).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**4 + 10510*u**3 + 2609339*u**2 + 157436556*u - 325394532 = 0.\nAnswer: -123, 2, 10754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 14*s**2 - 7*s - 69. Let c(n) = -7*n**2 + 4*n + 35. Give 7*c(u) + 4*x(u).\nAnswer: 7*u**2 - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 6*k**2 - 2*k - 9. Let z be d(-6). Suppose -p + z*f = 7 + 2, 5*p + 6 = 2*f. Solve p*h = -h - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -284 - -181. Let r = -58 - m. What is the greatest common factor of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (-20 - -20 - 26).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 73*m**4 + 3506*m**3 - 196*m**2 - 14024*m - 384 = 0.\nAnswer: -48, -2, -2\/73, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6302730413 to the nearest integer?\nAnswer: 79390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.44 + -18.43994122. Round d to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/6159186 and -82\/405?\nAnswer: 92387790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-99728 - -20) + (5 - 7). Round z to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 2*r**3\/3 - 36. Let b(c) = -1 - 19*c**2 - 13*c**2 - 8*c**2. Give y(b(n)).\nAnswer: 3200*n**4 + 160*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 24 = -5*b - 5*o, -o = -4*b + 24. Let k be b\/4*(-444)\/(-18). Suppose -282931*c + 282913*c + 666 = 0. Is c not equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 10 = -3*k. Let j(d) = -3*d**3 - 2*d**2 + 1. What is the remainder when 65 is divided by j(k)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37433901 to the power of 1\/2, to the nearest integer?\nAnswer: 6118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 - 1737*w**2 + 2723*w - 105838. Give f(867).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 14*y**2 + 3*y + 31*y**2 - 17*y**2 - 18*y**3 in the form s + u*y**2 + r*y + o*y**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -234a (base 13) in base 2?\nAnswer: -1001101100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 82399226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**3 + 0 + 0 + (10*a**2 - 3*a**2 + 2*a - a**2)*(87*a + 88*a - 176*a) + (-2*a + 3 - 3)*(174 - 174 - 40*a**2) as l + t*a + q*a**2 + z*a**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 35*z**2 + 16*z + 3. Let t be h(-2). Solve 15 + t = 14*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-26)\/10)\/(7\/(-35)). Let h(x) = x**3 + 7*x**2 + 7*x + 11. Let k be h(-6). What is the third derivative of 12*t**k + g*t**5 - 4*t**2 + t**5 wrt t?\nAnswer: 1560*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 37. Let u = -8 + 6. Which is the biggest value? (a) g (b) 0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-81)*252\/12.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000372686 to 6 decimal places.\nAnswer: 0.000373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 933 + -448. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1 + 4 = 0. Suppose 2*i - 5 = m*i + 5*l, 2 = -4*i - 2*l. What is the second derivative of -2*o**3 + 2*o + i*o - 3*o wrt o?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41182*f**3*z**2 - f**3 - 699*f**2*z**2 + 18*f**2*z - 11*f**2 + f*z - 1048*z + 2 wrt z.\nAnswer: 82364*f**3 - 1398*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1875 - 7629.549.\nAnswer: -5754.549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - -1. Let h = -13449 + 13455. Calculate the greatest common divisor of h and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 10:06 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*w = -10, 2*g - w + 14 = -2. What is the units digit of 6\/((g\/2)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*g + 876561 = -19*g + 88*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2*sqrt(192) + sqrt(192))*5)\/sqrt(6).\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-6*-1*sqrt(500) + sqrt(500) + (5*(sqrt(500) + 0 + sqrt(500)) - sqrt(500)))*-2)**2.\nAnswer: 512000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -2\/117 (b) -0.3 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178, -539, -1146, -2005, -3122, -4503?\nAnswer: -6154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182260.\nAnswer: 2, 5, 13, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 685 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 85 = 9*h. Suppose 5*y - 2*u - 688 = 0, -201 = -2*y - 2*u + 63. What is the highest common divisor of y and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 7*u**3 - u**3 + 2*u**2 - 4*u**3 - 2 + 2*u. Let o(q) = -3*q**3 - 7*q**2 - 7*q + 6. What is -7*f(h) - 2*o(h)?\nAnswer: -h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19 or -58\/3?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 459 and 6129.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 165563\/16 + -10343. Find the common denominator of z and 6\/(-39) - 1026\/(-2444).\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(1\/6)\/((p*p**(-2\/11))\/p*p*p*p**8) assuming p is positive.\nAnswer: p**(-659\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/8 + (-5)\/(-20). Suppose -3*o - o + 52 = -f, 3*o - 26 = a*f. What is the highest common divisor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*21\/126*26\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2140*j + 32540. Calculate g(-15).\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 10:47 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 - -33. Let s = -65771383 - -92271381. Suppose o*n = 5*k - 132500002, -4*n + 2*n + s = k. Round k to the nearest 1000000.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 10) to base 5.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 44 + 58)*(-66*v - 6*v - 3*v - 1).\nAnswer: -2775*v - 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4879339 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*u + 360*u = -26 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + -1 + 11 + -3. Solve v*z + 0*z - 10 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-20)\/(-32))\/(8\/(-64)))\/(76\/608)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, b: 5}. What is prob of picking 3 b?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1209152030 to the nearest integer?\nAnswer: 34773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 + -26. Let u(x) = 2 - 15*x - 17*x + y*x. Let h(z) = 2*z - 2. What is -6*h(m) - 5*u(m)?\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 28*f**2 + 26*f - 21. What is i(-29)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -1231*j**9\/504 - 31*j**5\/5 + j**3\/6 - 664*j**2. What is the third derivative of k(i) wrt i?\nAnswer: -147720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**7*r*r)\/(r\/(r**(1\/3)*r)*r)*r\/(r*r\/r**(1\/12))*r**(-1) assuming r is positive.\nAnswer: r**(77\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -433, -1729, -3889, -6913, -10801, -15553, -21169?\nAnswer: -27649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 + 2*y**3 + 3*y**3 - 38*y**3 + 13*y**3 + 42*y**3 - 4*y**3 + 3*y**3 + 0*y**3 + (3*y - y + 0*y)*(-2*y + y**2 + 2*y).\nAnswer: 21*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -3*f**4\/4 + 11*f**3 + 57. Factor i(w).\nAnswer: -3*w**2*(w - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 927 = 6*w - 2*w, -4*w = -3*m + 537. List the prime factors of m.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 31*q**5 + 7*q**3 - 7*q**2 - 20*q. Let d(y) = -10*y**5 - 2*y**3 + 2*y**2 + 7*y. Let s(j) = -7*d(j) - 2*i(j). Find the second derivative of s(z) wrt z.\nAnswer: 160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -92.435 - -24028.\nAnswer: 23935.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101000110000011010 - -101?\nAnswer: 11101000110000011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 1\/5*f**3 + 0*f**2 - 24 + 0*f. Factor t(d).\nAnswer: 3*d**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.9 + -2. Let p(y) = 2*y + 11. Let v be p(-5). Which is greater: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.071 - 0.04. Let d = 0.889 - t. Which is the closest to 4? (a) -0.4 (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 4*o**2 - 5*o + 4. Calculate t(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3064)\/90 - (-2244 + 2210).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 - -0.1. Let o = 0.02 + 3.98. Let q = o - 3. What is the nearest to h in -4\/9, -0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*k**3*q**2 - 6*k**3*q + 82*k**2*q**2 + q**2 - 71*q - 559 wrt q.\nAnswer: -30*k**3 + 164*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((2 - 1) + 1)\/2. Let j be (-1)\/5*15\/(-6). Is r smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1330 = 39*s + 1876 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -154 - -264. Calculate the greatest common factor of g and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*y - 6*y. Let g be y\/12 - 162\/(-8). Let u be 6808\/68 - (-14 + (-1680)\/(-119)). Calculate the greatest common divisor of g and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*l - 66*l - 29*l)*(25 - 6 + 15 + 39).\nAnswer: -5475*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-54)*1\/2\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 2 (b) 1556 (c) 2.6 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 36448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 4*d - 44, 0 = 4724*r - 4729*r + d + 19 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 136 = 2*w, -w = 3*o + o - 132. Suppose -3*r + o = -1. Let f(p) = -p**2 - 6*p - 4. Let m be f(-3). Solve -2*l - m = -r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**2 - 6*c + 2. Suppose 2*s = -j - 14, -4*j - s - 6 = -3*s. What is b(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/7)\/x)\/x)\/(x\/(x*x**(1\/5)))*(x**1)**39*(x**(-4)*x*x*(x**(-3\/7)*x)\/x)**16 assuming x is positive.\nAnswer: x**(-48\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.47 - 764.\nAnswer: -754.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013583149 to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-323)\/(-57) - (-2)\/(-3). Suppose b = r*b. Solve 3*x + b*x - 12 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 25. Let f be -7*(-1)\/t - 0. Let l = -3\/10 - f. Which is the third biggest value? (a) l (b) 1 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iihheiiiehe. What is prob of picking 3 e and 1 h?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21746, -20796, -19846, -18896?\n\"Answer: 950*w - 22696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 7*p**4\/4 + 40*p**3\/3 + 29*p**2 - 2. Let x be s(-2). Let g(q) = -q - 5. Determine g(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -191 + -13. Let j = t - -203. Let h(x) = -x**2 - x - 4. Let b be h(0). What is the closest to j in b, 5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9, -2, -431, 12, -3 in increasing order.\nAnswer: -431, -9, -5, -3, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**4 + 353660*k**3 - 12020105*k**2 + 102158610*k = 0. Calculate k.\nAnswer: 0, 17, 70698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - -37) + -13 - (3 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 17*j**2 - 10*j - 28. Calculate m(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5113 is divided by 1223?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 - 35*i - 14. Let b be n(-17). Let a be (-6)\/15*(b + -8). What is the tens digit of (501\/(a - -1))\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-3.6001.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*v**3)*(0 + 0 + 2) + 4*v**3 - 2*v**3 + 0*v**3 + 4*v - 4*v - 3*v**3 - 14*v**3 + 16*v**3 + 21*v**2 + 7*v**2.\nAnswer: -3*v**3 + 28*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -292, -1111, -2474, -4387, -6856, -9887, -13486?\nAnswer: -17659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1953*c + 2870*c = 473*c - 265350 for c.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00037497121 rounded to six dps?\nAnswer: 0.000375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + 14 + -12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 20*k**2 - 10*k - 58. Give d(-20).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 61 (b) 0 (c) -104 (d) 1\/5 (e) -1 (f) -25 (g) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 15. Calculate the remainder when (-1665 - -1639) + (-58)\/(-1) is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19484, 19485, 19486, 19487, 19488, 19489?\nAnswer: 19490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 0 - 29\/12*n**4 - 23\/6*n**3 + 0*n - 36*n**2. What are the prime factors of b(-3)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - 17 - 9 - (-14 + -49 + 7)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wewwxswxxxlwxxxxw. Give prob of sequence wx.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1060982?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 12:38 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -45*s**2 + 4*s + 10. Let a(r) = -46*r**2 + 5*r + 13. Give -4*a(p) + 5*d(p).\nAnswer: -41*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/(-28)*(2\/(-78) + 0)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 + 52.99959. Round l to five dps.\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72300813 and 663?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 47*n - 2991. What is the lowest common multiple of t(68) and 1640?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3954 divided by 1318\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -10. Suppose 15 = 3*n - p. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 898274?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -747 + 50 = -17*x. What is the remainder when x is divided by 37?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**3 + 0*s**2 - 5*s**3 - 3*s - 3*s**2 - 2. Let z be f(-2). Round z to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 - 53.8. Sort -0.5, k, -4.\nAnswer: -4, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(304) - -2*(sqrt(304) - (sqrt(304) + 0))))*-3.\nAnswer: -12*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 37?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -11 - (70 - 68).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 plus 373135?\nAnswer: 373134.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 - 228?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 45, 96, 147, 198, 249, 300?\n\"Answer: 51*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 5019986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 6*q - 8. Let p be y(4). Is p bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(4\/2 - 11). Let a = -5 - s. Suppose -7*b**a + 2*b**3 - 10*b**3 - 4*b**2 + 3*b**4 = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21332 (base 4) to base 12.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2)**(1\/9)\/(p**(-2\/13)\/p)**16)**(-1\/2) assuming p is positive.\nAnswer: p**(-1093\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -19. Sort 0.4, -4, y in increasing order.\nAnswer: -4, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -105282?\nAnswer: -105277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58581895.\nAnswer: 5, 503, 23293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3 - (2 + 2))*4)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 894 divide 4235773788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*n - n. Let i be (n - -3)\/(3\/2). Let u = -5.8 + 6. Which is the smallest value? (a) i (b) -4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212813 smaller than 212729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 6:31 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 10*s = 3*y - 5, -4*y - 2*s = -10. Solve 3*h - 5*b + 2*b + 12 = y, -3*b + 14 = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74084774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2727941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(190))\/(-4*sqrt(160) - sqrt(160)).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 37971024 divided by 182\nAnswer: 208632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1445, -1444, -1443?\nAnswer: -1442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11618, -23348, -35088, -46844, -58622?\nAnswer: -70428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101435 (base 8) to base 6.\nAnswer: 415221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i + i**2 + 136 + 5*i**3 - 70 - 67 + 2*i in the form b*i**3 + r + q*i + z*i**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 871414 is divided by 465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20566 by 873.\nAnswer: -20566\/873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v**(-5\/4)\/v)\/v*v)**(-11\/5)\/((v*v\/(v**38*v))\/v**(-12)))**(-12\/7) assuming v is positive.\nAnswer: v**(-333\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/2))**(2\/143))**(3\/2)*((v**(-1))**36)**(-16) assuming v is positive.\nAnswer: v**(164739\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s**2 + 2*s**2 + 2*s**2. Let c(j) = 6*j**2 + 13*j**2 + 6*j**2 - 7*j**2 - 7*j**2 - 9*j**2. Calculate c(p(r)).\nAnswer: 128*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7, 10216, -1, -3 in ascending order.\nAnswer: -7, -3, -1, 5, 10216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 342933340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 divided by -17918?\nAnswer: 1\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5310?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2352? (a) 1\/2 (b) 4 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvmocvovovzovod. Give prob of picking 1 d, 1 v, 1 z, and 1 c.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 + (2 - 1))\/(-60 - -59). Let i(c) = 2*c**3 - 3*c**2 - c. Let m be i(3). What is the greatest common factor of m and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.78 + -85.78. Let o = z - -99.1. What is o rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 + -34. Let c = -0.0942276231 - 39.9057724769. Let h = c + i. Round h to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -259*h + 1225. Let s(r) = -44*r**2. Determine x(s(f)).\nAnswer: 11396*f**2 + 1225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6345*o - 2852. Is n(7) a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.1286mg in tonnes?\nAnswer: 0.0000000901286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 14*h - 55. Suppose 7*y - 11*y + 31 = 5*f, -f = 3*y - 15. Let r be j(y). What is the greatest common factor of r and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/12528 and -163\/206712?\nAnswer: 413424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*y**5 - 11*y**5 - 8*y**5 + (2*y**3 + y**3 - 2*y**3)*(0*y**2 + 0*y**2 + 2*y**2).\nAnswer: -34*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3463 - -7965. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-4)\/(-6) + (-8)\/(-6) and 76 - 25*4290\/1625.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6302096?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 12*w - g = 20717, 0 = 4*w + 5*g - 41441. List the prime factors of w.\nAnswer: 3, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38778 divided by 281?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 16 = x, 0 = 2*o + 2*x - 4*x - 16. Solve 0 = -5*v - 15, o*k + 2 - 1 = v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 6285548.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22132, -22181, -22230, -22279?\nAnswer: -22328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -366*l**2 - 2*l + 195*l**2 + 11*l + 195*l**2.\nAnswer: 3*l*(8*l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**2*t**3 - 1420*m**2*t - 49*m*t + 96*t**3 wrt m.\nAnswer: -6*t**3 - 2840*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - z + 6*z)*(4*z + 11 - 4*z + 2*z).\nAnswer: 6*z**2 + 33*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3112 - -0.1?\nAnswer: 3112.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - -7 - (-23 - -27). Solve 8*u - c*u - 4*i + 32 = 0, -22 = 5*u + i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*o - 15, -5*y - 5*o = -5 - 25. Let t be ((-4)\/16)\/(((-3)\/8)\/3). Let x(k) = 0*k**2 - y*k**3 - 4 - 7*k**t + 0*k**2 + 2*k**3. What is x(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 j when four letters picked without replacement from {j: 6, t: 7}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 63535121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -481138962 divided by 3\nAnswer: -160379654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v - 6*v + 2*v + (0 - 5 + 6)*(v + 2*v - 4*v) + (0 - 1 - 3)*(-108 - 40*v + 108) as i*v + n and give i.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*a + x + 150, 0 = -4*x + 8. Let k = a + -42. List the prime factors of k.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/42 + 136\/56?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d4 + 1d?\nAnswer: -1b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**7\/30 - 2*n**5\/15 + 6*n**2. Find the third derivative of u(o) wrt o.\nAnswer: -168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 12 + 4 = 0, 24 = 4*s - x. Suppose 5*c - 75 = -0*t - 4*t, s*t = 2*c + 102. Let f = t + -14. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1143 + 18297\/16. Let t = w + -193\/144. What is the common denominator of 31\/12 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 455891900 to the nearest one million.\nAnswer: 456000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b - 5. Let g be k(-5). Let l be 2\/(-9) - g\/(-45). Solve l = 3*c - 2*c + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9213361 rounded to two dps?\nAnswer: 1.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2281082 or -20529740\/9?\nAnswer: -2281082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)\/sqrt(4) + (sqrt(13) - 2*(sqrt(13) + -1)) + 2.\nAnswer: sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 239995, 239955, 239889, 239797?\nAnswer: 239679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**4\/12 - 2*a**3\/3 + 7*a**2\/2 - 13*a + 2. What is q(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -988*h + 988*h - h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 820492 and 1846107.\nAnswer: 7384428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-32)))\/(l\/(l*l\/(l*l**8))*l) assuming l is positive.\nAnswer: l**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 2:01 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-34)\/x*x*x)\/x**43)\/(x**(-37))**(30\/13) assuming x is positive.\nAnswer: x**(135\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*j - 11803, -5*j - f - 4*f = -19665. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 452 = -75. What is the remainder when 131 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -744.3 and -651.\nAnswer: -1395.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -101, 17, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-7))\/(-2*1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, m: 9, b: 2, w: 3, a: 2, v: 3}. What is prob of picking 1 b and 1 u?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8627942.\nAnswer: 2, 17, 253763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 896 and 11328?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvo when three letters picked without replacement from {o: 2, b: 1, v: 2, n: 6}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, v: 3, q: 2, w: 1, t: 1}. Give prob of sequence tw.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 285 and 190.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*x**4 - 3*x**3 + 7*x**2 - 6*x**4 - 5 + 7*x**4 - 8386*x + 8386*x to the form v*x**2 + d*x**4 + u + r*x + i*x**3 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**3 - f**2 - 9*f - 1. Is r(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 11:33 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -509 - -71261\/140. Let w = m + -303\/3220. Let z be (-2)\/4*(-4)\/(-2). Are w and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 743 by -1.\nAnswer: -743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2563 + -2465. Sort -6, -0.4, y in ascending order.\nAnswer: -6, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 6:18 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*q - 7*q - 14, -3*q = 6. Suppose -2*i - o*j = -42, 4*j - 33 + 13 = 0. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 - 22*t - 17. List the prime factors of u(13).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(7*d**3 - d**3 + d**3) - 8*d**3 + 2*d**2 + 5*d**3 - 4*d**2.\nAnswer: 11*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1097 divided by -6\nAnswer: 1097\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 8:28 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6475*m**2 - 84*m + 83. Is z(1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 221 and 15342327.\nAnswer: 260819559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*h + 3*h - 3*h)*(-3*h + 6*h - h) - 2*h**2 + 0*h**2 + 4*h**2 + (6*h - 4*h - 4*h)*(-2*h + 1 - 1) to d*h**2 + z + q*h and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a - 4. Let r be u(3). Let g be (-93)\/13 - -2*(33\/(-6) - -9). Sort r, g, -2 in ascending order.\nAnswer: -2, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20083 - 16960. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**2 + 3 - h - 7*h**2 + 58 + 23 wrt h.\nAnswer: -10*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 11*r**2 + 11*r**2 - 26*r**2 - 60 + 76*r - 276 = 0?\nAnswer: 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**4\/12 - 5*o**3\/3 + o**2\/2 - 4*o. List the prime factors of w(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15\/26, 0.052, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2071593?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.65 + 120.55. Let j = -108 + m. What is the closest to 1 in 1, 4, j, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/1 + -2 + 5. Let g = 7 + v. Let h(j) = -3*j**2 - 113*j + 43. Let i be h(-38). Solve 2*c + 1 - i = g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7456 to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**6\/120 - z**5\/60 - z**4\/12 - 2*z**3\/3 - z**2. Let d be g(3). What is the units digit of (-2)\/d - 129\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2574 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 - 25*q + 90 - q**4 + 26*q - 89 to t*q**3 + u*q + v + o*q**4 + b*q**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 585790 is divided by 742.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -129350, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2\/9 - 2848*z\/9 - 1013888\/9 = 0.\nAnswer: -712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -2, -10 in increasing order.\nAnswer: -10, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 18 = f, 4*p + 0*p - 6 = 5*f. Factor 1\/3*u**3 - 2\/3*u**f + 1\/3*u + 0.\nAnswer: u*(u - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114936403*q**3 + 3 + 2*q**2 - 2*q**2 - 3 + 114936348*q**3.\nAnswer: -55*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -0.2 (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyddudydydyddddddd. What is prob of picking 3 y?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(17)*3 + 2 + -1)*-6.\nAnswer: -18*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9398*m = 9442*m + 1056 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 41, 30, 15, -4, -27, -54?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*t + 30 = -20*t - 582 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddpj. What is prob of sequence dd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(-1 + (-160)\/(-156)) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3183713 or -3183712?\nAnswer: -3183713","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 1\/189 greater than 0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1713?\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m - 1. Let v be u(1). Sort v, 4, 0.\nAnswer: 0, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 7*r**6\/30 + 3*r**2\/2 - 3*r. Differentiate f(w) wrt w.\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2708 - 2162. Solve d*y - 541*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367 + 4*w**2 - 4*w**2 + 179 + 189 + 7*w**3 + w**3.\nAnswer: 8*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 38679 (base 11) to base 8\nAnswer: 154127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by -773.\nAnswer: -29\/773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*f - 1938 + 2064 = 0. Factor 16\/15*w + 0 + 2\/15*w**f.\nAnswer: 2*w*(w + 8)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6142276*f**2*s**2*v + f**2*s**2 + f**2*s*v + 2153*f*s**2 + 20 wrt v.\nAnswer: 6142276*f**2*s**2 + f**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*w**2 + 2*w**2 + w**2)*(-w + 0*w + 0*w) - 2265 + 2265 + 288*w**3)*(2*w - 6*w + 3*w).\nAnswer: -289*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*f - 63 = 0, -y + 5*f - 21 = -2*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 - 87949*o**3 - 3956355*o**2 - 59338575*o - 296676000.\nAnswer: -(o + 15)**3*(o + 87904)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4 + 34 = 0. Let w(y) = -y**2 - 11*y + 14. Does 12 divide w(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4958.\nAnswer: 2, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*l - 162, -3*l - 77 = -3*c + 100. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.03, 8444, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1611 - 1708 - (-39 + -1).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 127 and -4.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3355427 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 + 18*v + 15. What is y(24)?\nAnswer: -705","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -38280 to the nearest one thousand.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -32. What is the least common multiple of 8 and ((-3)\/2)\/((-1)\/v)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41142 - 7259 = 908*z + 16067 for z.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k = -13*k + 2*o - 8, -12 = -3*k - 3*o. Let u be (-6 + 10\/(-2))*(k - 1). Solve u = z - 5*w - 14, -11 = z + 4*w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4 + 8*c**3 + 22*c**2 - 60*c = 0. What is c?\nAnswer: -3, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f + 2 = 12*f. What is the smallest common multiple of 3 and (-42)\/(-1 - (f + 2))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10761028.\nAnswer: 2, 103, 26119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 56\/42*(-30)\/(-4). Suppose z*v + 36 = v. Let p = 11 + -6. Sort v, 0, 1, p.\nAnswer: v, 0, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 172 - 24*b - 93 - 86 + (-4 + 4 - 1)*(2*b + 3*b - 2*b) - 5*b - 4*b + 5*b.\nAnswer: -31*b - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 16)\/((-34105)\/115957)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2872876 and 988?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 11 + 16 + -7 + 1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2963226419.\nAnswer: 31, 131, 729679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/sqrt(5) + (sqrt(21)\/(1*sqrt(7)))**2 + -2 + ((3*sqrt(9))\/sqrt(3) + sqrt(27) + 4)**2.\nAnswer: 50*sqrt(3) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z + 114. What is the hundreds digit of t(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -4, 5, -13, 0, -3801 in descending order.\nAnswer: 6, 5, 1, 0, -4, -13, -3801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 0 + 5\/6*g**3 + 2*g + 0*g**2. Let t(s) = -s**2. What is t(w(j))?\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 342125 + -7188218\/21. Let x = q - -171. What is the nearest to 1\/4 in -4, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-40) + 1124\/5. Calculate the highest common factor of 50 and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.276 - 0.054. Let o = 4.73 + j. What is o rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88184814 a multiple of 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 15052.39 to the nearest one hundred.\nAnswer: 15100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 2*i - 180 = 0. Suppose 0*b + k = 5*b - i, 0 = 3*k. Calculate the remainder when b is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -19934*(8 - (-2 + 4)). Let w = -85304 - z. Round w to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**2 - 3*m**2 - 2*m**2 + (-2*m + 0*m + 3*m)*(-5*m + 2*m + 2*m) + 0*m**2 - 2*m**2 - 19*m + 21*m + 2 + 2*m**2 - 2.\nAnswer: -3*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2646*h + 35020 = 2252*h - 1396*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -359 - -353. Let v(r) = 2*r**2 + 9*r + 7. Let s be (2 - -1)\/(6\/(-4)). Let k(b) = -b**2 - 5*b - 3. Let f(l) = s*v(l) - 5*k(l). Determine f(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 2*d - d + 2 - d - 2 + (3 - 2 - 2)*(-3*d + 0*d + 5*d))*(0*d**4 - 3*d**4 + d**4).\nAnswer: 10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 132 = 5*d. Suppose -6*m + 0*m = 396. Let b = d - m. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 13*d**2 + 13*d + 8. Let g be i(-12). Let l = g - -21. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 5*z. Suppose -g - 4 = -5*g - j, 3*j = -2*g + 2. Suppose p + 4 + g = 0. Determine c(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r - 5. Let l be 1*(4 + (3 - -1)). Suppose 2*s = -l + 16. Let v(u) = -s - 11 + 6*u - 1. Determine -5*v(f) + 16*z(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-446)\/(-1784)*(-15)\/12?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + (2 - -8))\/1. Let c = 10 - t. Suppose c*z - 8 = -0*z, -3*l + 14 = 2*z. What is the remainder when l is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*j = 74*j + 16637. Which is the fourth biggest value? (a) 2 (b) -1\/5 (c) j (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -n. Let b be n + (4 - (3 - 2)). Solve 3*f = -12, b*w - 2*f - 3 = -1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8710, -8708, -8706, -8704, -8702, -8700?\n\"Answer: 2*z - 8712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -7, -52, 5\/6, 2\/13?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, z: 1, p: 2, u: 2, b: 4}. What is prob of sequence uz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.22303*-4.\nAnswer: 32.89212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s + 4*s - s)*(-4 + 4 + 1)*(3*s - 3*s - 2*s)*(182 - 67 - 85) in the form v + i*s + d*s**2 and give d.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z - 113 = -49 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 354946671 to the power of 1\/2, to the nearest integer?\nAnswer: 18840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and (-20)\/(-15)*13\/(-26)*-936?\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 4*n + 7. Suppose 0 = 47*r - 49*r. Let i be f(r). Solve -i*z + 18 = -13*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432 and 124240?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 187*m**3 - 242*m**2 - 44*m + 44. Let s(o) = o**2 + o - 1. Let c(b) = -d(b) - 44*s(b). Find the third derivative of c(v) wrt v.\nAnswer: -1122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -441962 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2865793 or -2865784?\nAnswer: -2865784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**6\/120 + 3*f**5\/10 - f**4\/8 + 29*f**3\/6 + 3502*f**2. What is x(18)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-13)\/26*(-1 + -83 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/1041603 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-127040)\/(-14292)*3\/240.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 652, 2624, 5918, 10540, 16496, 23792, 32434?\n\"Answer: z**3 + 655*z**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/10 and 101\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**2 + 2047674*n + 2047671 = 0.\nAnswer: -682557, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -3, -8, -1402, 0.4, 1, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 436*d + 439*d = 12, -10*d = l - 40 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-220)\/(-24) + (-11)\/66?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1291552, 2583338, 3875124, 5166910, 6458696, 7750482?\n\"Answer: 1291786*h - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5510041 a multiple of 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a century in decades?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + g**2 - 4*g**2)*(-4*g**2 + 14*g**2 + g**2)*(-24*g + 148 - 148)*(1 - 2 - 2).\nAnswer: -3168*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7*f - 14. Let b be a(-4). What is the remainder when ((-12)\/b)\/(6\/(-168)) is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -5. Let t(z) = -g*z + 29*z - 14*z. Let o(k) = 4*k - 7. Calculate o(t(u)).\nAnswer: 8*u - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*i - 52*i + 84 = 0 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 467*b + 4 + 6 - 466*b. Let o be 6*-1 - (-2 + 1). Determine s(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 471042947 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42339415 by 5.\nAnswer: -8467883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 151107 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -15, -184, 3, 30 in decreasing order.\nAnswer: 30, 3, -2, -5, -15, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 90*l + 672.\nAnswer: 3*(l - 16)*(l - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 911 - 905 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1199 + 5177. Calculate the greatest common divisor of 68 and t.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 6*f + 3*x - 9, -25 = -3*f + x. Let v = f - -45. Let y = -32 + v. Solve -y = 2*r - 6*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13925, -8589, -3251, 2089?\nAnswer: 7431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 2 = -2*h, -3*u - 4 = -2*h - 26 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + -60. Let b = j - -31. Solve 5*u + s = -b, -2*u - u + 4*s = -5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.096 + -91.096. Let s = 91.00000071 + h. Round s to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4124 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 10*s - 35 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 + 5*f + 7. Let o be i(5). Let s be (o\/(-3))\/(3\/12). Solve -x + 14 = 7*g - 3*g, 0 = 2*x - 5*g + s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zszdzszdszzz. Give prob of picking 2 s and 2 z.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20058)\/(-81) - -3)*3. Let t = r - 751. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13415.76586 rounded to the nearest 10?\nAnswer: 13420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p - p + p**4 + 2*p**2 - 1 + 2*p - 3 to h*p + v*p**4 + c*p**2 + s*p**3 + d and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -214 + 211.01. Let f = y + -0.01. Let w = f + 2.9. Is -1 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -5\/18*v**4 - 4*v**2 + 2\/15*v**5 + 1\/3*v**3 + 1\/315*v**7 - 1\/30*v**6 + 0*v + 0. Factor b(t).\nAnswer: 2*(t - 3)*(t - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220228, 880945, 1982136, 3523801, 5505940?\nAnswer: 7928553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 9 = 2*g + 36, 2*b - 14 = 4*g. Let t(m) = -9*m + 3*m + b*m - 6. Give t(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(315)\/(sqrt(7)*3) + (sqrt(5) - (-5 + sqrt(5) + -5)) + -3)**2*-4.\nAnswer: -216 - 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0. Let p = -20 + 19. Sort 0.1, p, d in descending order.\nAnswer: 0.1, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 3*b - 1. Let g be v(2). Suppose g - 10 = -n. What is the smallest common multiple of n and 19 - (8190\/9)\/(-26)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 - 36. Find the third derivative of -275*b**6 - 4*b**2 + w*b**2 + 6*b**2 + 280*b**6 wrt b.\nAnswer: 600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c - 5. Let x(h) = 11*h - 8. Let z be -1 - (2 + 11\/(-1)). Give z*g(o) - 5*x(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -65*m - 28. Is z(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4914 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2093506926.\nAnswer: 2, 3, 7, 29, 1718807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22\/6 + 2\/(-3). Suppose t + 13 = x, -1 - 1 = -t. Suppose i*p + x = o, 27 = 5*o + p - 0*p. Calculate the remainder when 11 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cj when two letters picked without replacement from {c: 3, j: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1582827983?\nAnswer: 11, 13081223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20862 is divided by 5174?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72*s**2 - 2 - 18 + 22)*(2*s + 5*s + 0*s).\nAnswer: -504*s**3 + 14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -121*y + 47. Let q(u) = -40*u + 13. Determine -2*g(b) + 7*q(b).\nAnswer: -38*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*v = -20. Let m(f) = -f + 15. What is the remainder when -5 - (-328)\/24 - (-4)\/(-6) is divided by m(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x**2 - 5 + 4 + 3 - x**3. Let i be o(-5). Solve -3*r + 6 = -3*h, -i*r - 2*h - 2*h = -10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.1 - -13. Which is the third smallest value? (a) k (b) 6 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -328*s**2 + 346*s - 9. Let i(h) = -82*h**2 + 87*h - 2. Let t(n) = -9*i(n) + 2*y(n). Find the second derivative of t(u) wrt u.\nAnswer: 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -176\/255 - -2\/85. Which is smaller: -14 or b?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*c - 6 = 174*c. Find the third derivative of -3*n**c + 257 + 6*n**2 + 8*n**3 - 249 - n**5 wrt n.\nAnswer: -60*n**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -17*o - o + 11*o + 1 - 12*o. Let d(s) = 14*s. What is d(q(z))?\nAnswer: -266*z + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**6\/120 - 7*j**5\/60 - j**4\/24 + 2*j**3\/3 - 3*j**2. Let o be b(7). Put o, 5, -1 in decreasing order.\nAnswer: 5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 + c + 1. Let a be m(-1). Let b be (-1)\/(6\/(-9))*a. Suppose 0 = -b*k + 8*k - 15. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -2413*m**5\/60 - 49*m**4\/4 - 105*m**2 + m. Find the second derivative of t(y) wrt y.\nAnswer: -4826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -206, -442, -676, -908, -1138?\nAnswer: -1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 667.6206l?\nAnswer: 667620.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j - 5 = -20*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-54)\/(-24) + (-2)\/8. Solve 25 = -t*m - 3*q, 0 = -3*m + 4*q - q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 218775 (base 9) to base 14\nAnswer: 35b02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, f: 1, n: 2}. Give prob of sequence fnln.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/55)\/b*b*(b**27\/b)\/b*((((b\/(b*b**(-20)*b))\/b)\/b)\/b)\/(b**12\/b*b))**28 assuming b is positive.\nAnswer: b**(44716\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t**2 + 5*t + 15. Let l(y) = -6*y**2 - 6*y - 14. Let m(w) = -6*l(w) - 5*p(w). What is the units digit of m(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 110, 176, 248, 314, 362?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 228055238 to the nearest integer?\nAnswer: 15101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2849, -5704, -8557, -11408, -14257, -17104, -19949?\nAnswer: -22792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by -491.\nAnswer: 30\/491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 114*y**3 + 110*y**3 - 2 + 1.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oz when two letters picked without replacement from {h: 2, z: 8, o: 2, c: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 123*i - 28497. Let v(l) = -59*l + 14248. Determine -12*f(c) - 25*v(c).\nAnswer: -c - 14236","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2687 - -2616) + 6\/1*2.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1033288386 to five dps.\nAnswer: -0.10333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 391017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2 + 4*y - 3. Let q be 9\/(-6)*2*(-2)\/3. Determine n(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*o + 2545993 - 2547701 = 0 for o.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1107483210559 and 78.\nAnswer: -1107483210481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 10:19 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -421, -420, -419?\n\"Answer: k - 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 76 = -4*t, 0 = t - r - 29 + 14. Solve -42 = 3*a - t*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**4 + o**4 + 0*o**4)*((2 - 2 + 1)*(-2*o + 4*o + 3*o) - 5*o + 3*o + 0*o + o - 2*o + 2*o) + o**5 + 0*o**5 + 0*o**5.\nAnswer: -3*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18450000 rounded to the nearest one hundred thousand?\nAnswer: 18500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 equal to 3092\/709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/1)\/(-2) + 39\/26. Factor 1\/4*b**2 + 1\/4 - v*b.\nAnswer: (b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddlldddlldd. What is prob of sequence dd?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 3)*(-1 - 2*g + 1 - g + 3*g - g + (-g + 3*g - g)*(1 - 5 + 2) - g - 2*g + g) to the form d*g + s and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -152.88 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 745630.3 hours?\nAnswer: 2684269080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10263 + -30793\/3. Sort -9, 21\/8, d, -0.1 in decreasing order.\nAnswer: 21\/8, -0.1, d, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 9) in base 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4918?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1784134.\nAnswer: 2, 11, 81097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3 = l, 0 = 4*l - r - 4*r - 15. Suppose -6 = 3*y + l*z, -6*y = -5*y + z. Let c(n) = 4*n - 7. Determine c(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*r + 30 + 51 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3 - 1368\/27. Let z = -448\/9 - o. Let j = 8 - 12. Sort j, z, -12 in ascending order.\nAnswer: -12, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -6*x + 2*x. Let l(u) = x - 8 + 3*u + 0 - 2*u. Calculate the remainder when 11 is divided by l(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100010100100110011 (base 2) to base 9\nAnswer: -235234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-1))\/(-3 - -6 - 1). Let w be l\/(-6) + (32725\/(-42))\/17. Let m = 89\/2 + w. Is m at least as big as 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/210)\/((315\/50)\/(-7))*(-162)\/12.\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -8. Let h be (-2)\/(4\/(-2))*-3. Let w = u + h. Solve w*q - 5 = 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 0 - (-5 - (-2 + -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1609600 to the nearest integer?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 5:44 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2522314 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00036147 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/28)\/(2\/7)*6. Suppose -2*a = 5 - y. Solve 2*h - i + a + 4 = 0, 7 = -h + i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 8*j**2 + 7*j + 69. Determine y(-7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 79\/5 + 124\/(-155) + (-9367)\/646\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 10*s - 1. Let o be d(3). Let i be 3\/((-871)\/(-2262) + 52\/(-12) + 4). What is the highest common divisor of o and i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3502149?\nAnswer: 3, 7, 79, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 245050 (base 7) to base 14\nAnswer: 12560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 0 + 0)*((-2*y + 3 - 3)*(4 - 23 + 0) + 17*y + 8 - 23*y - 47) to t + f*y**2 + v*y and give f.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5654475 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(180) - (-2 + sqrt(180))*-3) + 5 + -2*sqrt(180))**2 + 2*(-3 + sqrt(180) + 0 + -3)**2.\nAnswer: -168*sqrt(5) + 1154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**4 + 4*g**4 + 23*g**4 + (-g - 4*g + g)*(0*g**3 - 3*g**3 + g**3).\nAnswer: 32*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-112)\/(-98) - 18\/(-21). Solve -23 = o - 4*v, 0 = z*o + o - 2*v + 19 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/108*(71 - 8)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 179, 271, 425, 641, 919?\n\"Answer: 31*c**2 - c + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.1 + -299.1. Let a = 144 + z. Let t = a + 140.999909. What is t rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.3 - 12\nAnswer: -6.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(1\/5))**(-29)\/(s**9*s*s**(-2\/5)\/s*s) assuming s is positive.\nAnswer: s**(-309\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-155)\/100 - -18*24\/(-2160) - (-265)\/(-4).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -1 - 0. Let o be 3\/h*1 - 6. Let r(l) = 14*l - l**2 - 37*l + 6*l + 12*l - 1. What is r(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + t**3 + 2*t**4)*(-3 - 4 + 3)*(2*t - t - 2*t).\nAnswer: 8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3 + -1 + 1 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 2*n**2 + 10 - 10 - 18 + 1 as c*n + m + x*n**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26132415?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - (-5 - -3)) + -6 + 4. Solve -d*s + 2 + 7 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r. Let m(v) = -15*v. Let q(f) = -14*l(f) - 2*m(f). Let b(z) = -3*z. Let a(i) = 5*b(i) + 7*q(i). Let s(o) = -5*o**2. Determine s(a(n)).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - -97.5. Let m = -112 + l. Sort 3, -4\/7, m.\nAnswer: -4\/7, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c - 3*c + 4*c + (4*c - 3*c + c)*(-3 + 3 - 9).\nAnswer: -17*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -336*y**3 + 5*y**2 + 6 - 2*y**2 + 164*y**3 + 171*y**3. What is d(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3918671 and 20473.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**6\/30 + 70*q**3\/3 - 9*q**2 - 3*q - 59. Differentiate r(o) wrt o.\nAnswer: 4*o**3 + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 39*o - 121. What is d(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-10))\/(2\/(-60)). Let q = -19 - y. Let l = 26 + -11. Solve 4*p = f + 7 - 26, l = -2*p - q*f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151 = 8*a + 231 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 11:39 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2*i, -5*k + 18 = 2*i + 2*i. Let z = k - 5. Let f be (1\/2)\/(z\/10). Let a(n) = n + 4. Determine a(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*n - 9*n - 15*n - 21*n + 83*n - 16*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 153399.8 weeks in microseconds?\nAnswer: 92776199040000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -11620.\nAnswer: -11621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -492 less than or equal to -491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 86368 less than 91704?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*h**4 + 20 + 30 - 15 + 50*h**4 wrt h?\nAnswer: 152*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*u = 5 - 23, 4*b - 4 = 4*u. Let s be 21\/4 + 1\/b. Suppose d - s = 6*d. Sort -2, -4, d in descending order.\nAnswer: d, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + -1992769154460.\nAnswer: -1992769154425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + ((380\/15)\/(-19) - 744\/(-18))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 + -75. Suppose -5*z = -10*z + 840. Suppose -2*i + 4*i - z = f. What is the remainder when i is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/30)\/((-568)\/(-14768)*26\/2)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/19, -39, -2\/3?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6066.62 nanometers in kilometers?\nAnswer: 0.00000000606662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/12*(2 + -3). What is the smallest value in -1\/3, 86, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 6. Suppose g = k + 13. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/(51\/(1810 - -26)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6500 - 6468. What is the nearest to 0.1 in g, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (82\/96)\/(105\/(-140)) and 61\/14?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (348\/261)\/((-51)\/63 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3*sqrt(104)*-1 - sqrt(104)))\/(-5*sqrt(1152)*3).\nAnswer: -2*sqrt(13)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z. Let g(l) be the second derivative of 0 + 0*l**2 + 0*l**3 + l - 5\/12*l**4. Calculate g(v(o)).\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 46.4, 0.044, -2?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(3\/(-15)*2). Let i(a) = a**2 + a + 31. Let u be i(l). Let k = -123 + u. Calculate the lowest common multiple of 22 and k.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 4. Let x be g(7). Let q = x + 8. Suppose 6*n = 2*n + 4, -k = -q*n - 1. Calculate the smallest common multiple of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzut when four letters picked without replacement from tzuz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2098664?\nAnswer: 2, 19, 13807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1153*s - 178691. Calculate p(155).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 203.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**(7\/6)*f))\/f**(2\/33)*(f**8)**(-6) assuming f is positive.\nAnswer: f**(-1061\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-5\/7)*f*f)\/f*f)**(-6\/5))**(3\/25) assuming f is positive.\nAnswer: f**(-468\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53644 is divided by 50031.\nAnswer: 3613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-4)\/(3\/(-27)*4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3381 and 499708419?\nAnswer: 3381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (42935\/620)\/((-2)\/(-16)) is divided by 80?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6485 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 327242 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -114*v - 2176. Determine m(-28).\nAnswer: 1016","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*v**3 - 9*v + 946 - 4*v + 13*v.\nAnswer: 26*v**3 + 946","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5*i\/i**(-1\/3)*((i\/((i*i**1)\/i))\/i*i)**(-5\/6))\/(i**(-11)*i*i\/((i**(6\/11)\/i*i)\/i)*i)**(-26\/3) assuming i is positive.\nAnswer: i**(-1949\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 14 + v - 2 + 4 + 9. Let t be x(0). Suppose 4*l - 37 = d, 3*l = 3*d + t + 41. Are d and -17 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -1120*v**3 + 632*v**2 + 6*v + 15. Let j(u) = 3*u**3 + u + 2. Let s(b) = g(b) - 6*j(b). What is the third derivative of s(n) wrt n?\nAnswer: -6828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65986 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6021975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 64172 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 2. Let a be j(-1). Let y be -1*(a - 6\/5). Let z = -348\/845 - -2\/169. Is z > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -197669 or -197667?\nAnswer: -197669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/(-10) + -2)*(-126930)\/(-12693)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34\/713 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7719495mm in kilometers?\nAnswer: 0.0000007719495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -838 divided by -32149?\nAnswer: 838\/32149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 25*r**3 + 14*r**2 - 5*r + 321. Let p(k) = -3*k**2 + k - 1. Let j(t) = -h(t) - 5*p(t). Differentiate j(a) wrt a.\nAnswer: -75*a**2 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3142.\nAnswer: 2, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 10 = -2*t, 3*m = -3*t - 6. List the prime factors of (-1)\/(m\/(-30) + 0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 94 in -0.194, -1, -2\/7?\nAnswer: -0.194","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -15) + (-14 - -1) - 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 886366?\nAnswer: 2, 13, 73, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)*3 + sqrt(252) - (sqrt(252) + -2)**2.\nAnswer: -256 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -2, 0.037, -0.1.\nAnswer: -2, -0.1, 0.037, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 21*i - 75. Let p(j) = -j**2 + 21*j - 74. Let n(k) = -3*p(k) + 4*u(k). Let y be n(16). Solve -4*s = -w - 6 - 16, s - 1 = -y*w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51*o**2\/7 - 9165*o\/7 + 6444\/7.\nAnswer: 3*(o - 179)*(17*o - 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 966 (base 11) to base 7.\nAnswer: 3246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 54 = 2*t. What is the remainder when (-4)\/t + (-1236)\/(-27) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 + 160*b + 3 + 982*b**2 - 2112*b**2 + 1132*b**2 + (-2*b**2 + 5*b**2 - 2*b**2)*(-2*b + 3 - 3).\nAnswer: -b**3 + 2*b**2 + 160*b + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 29 = -5*i - 3*s, i + 16 = -4*s. Let y = 0 + i. Let z = 40863\/5 - 8173. Sort z, y, -5 in decreasing order.\nAnswer: z, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 + z**2 - z - 2. Let q be r(-2). Suppose -5*y = -110 - q. Suppose 39*w - 369 = 1152. Calculate the highest common factor of w and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -4\/7 (b) -0.09 (c) 36 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20110202111002 (base 3) to base 11.\nAnswer: 1a3a399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13491*d - 1441*d + 3743*d.\nAnswer: 15793*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 95.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -1776*l**2 + l - 5. Let m(t) = 2659*t**2 - t + 7. What is -5*m(b) - 7*y(b)?\nAnswer: -863*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*p - 865 = 0, -2*a + 2*p = 3*p - 435. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, -6, 55, -3\/2, 2 in descending order.\nAnswer: 55, 2, -3\/2, -6, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3732 - -8.6.\nAnswer: 3740.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15618 and 3192?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233406 is divided by 9276?\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*w**5 + 2\/3*w**4 + 2\/9*w**2 + 0 - 2\/3*w**3 + 0*w.\nAnswer: -2*w**2*(w - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221725 (base 8) to base 13.\nAnswer: -2800b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121164\/(-7463) - (1 - 17).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/(3042\/364))\/(5\/((-30)\/(-4)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 11930, 164 in decreasing order.\nAnswer: 11930, 164, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9449)\/623634)\/(238\/(-132))?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 5. Let j = 33.03 - 32.93. Which is the nearest to j? (a) i (b) -2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 224\/(-8)*(1400\/(-32))\/35?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + -6 - -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9479, 16707, 23939, 31175?\n\"Answer: 2*c**2 + 7222*c + 2255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.72 - 0.63. Which is greater: 2 or b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 28 = -432*k + 854*k - 424*k, -2*k + 2*h = 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 f when four letters picked without replacement from {g: 1, i: 3, f: 3, y: 5, s: 1, b: 4}.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 7.4\nAnswer: 0.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 509844?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 25 = -w, 3*d - w = 8 + 9. Suppose -132 = -d*s - 2*s. List the prime factors of 4\/s - 17192\/(-308).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmhrhoomzmzmkrmzhm. What is prob of picking 1 k, 1 m, and 1 z?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-3 - -2) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 94193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 10177*r + 3084. Is t(37) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 493685433*k + 538884661 wrt k?\nAnswer: 493685433","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2025 + 4?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 57647135 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {s: 1, z: 2, n: 1, w: 4, j: 3, f: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/5 and -44\/8001?\nAnswer: 40005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbbbenblbelbbbbbnnb. Give prob of picking 1 e, 1 l, and 1 n.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 209*j**2 - 74*j + 801235 with respect to j.\nAnswer: 418*j - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32019818023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 497, 1994, 5483, 11966, 22445, 37922, 59399?\n\"Answer: 167*m**3 - 6*m**2 + 346*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nhnl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 102 - -2?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/4 (b) 299 (c) 5 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 36*p + 30. Let u be i(-35). Let w be u - (10 - -1)*-1. Calculate the highest common factor of w and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*s**2 - 6*s + 6*s.\nAnswer: 139*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 = -1. Let r(l) = 10*l**2 - 2*l + 3. Is r(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + 0\/(-1 + 2). Let q = -267 + 138. Let s be q\/215*1*-5. Sort d, s, 1 in ascending order.\nAnswer: 1, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2538 divide 207493132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13bbcb7 (base 13) to base 12\nAnswer: 212ab58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 16*j**2 + 15*j - 5. Calculate l(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34824527449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 - (-115)\/(-20))*-8 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15372 + -61487\/4. Is i greater than or equal to -825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-695)\/(-2919)*9\/5. Let q = -2 - -7. Sort 40, b, q.\nAnswer: b, q, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 906 or 905?\nAnswer: 905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 221*g + 30267. What is p(-136)?\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47766 + 3343699\/70. Find the common denominator of -47\/70 and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-4 + (3 - 0)). Suppose 3 = t*a - 23. Let o = a + 192. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 8 - 3)*(1 + 0 + 1) - 1 + 2 + 1)*(5 - 2 - 2)*(-72*x + 1458 - 63*x - 1446).\nAnswer: -810*x + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 39*j - 70 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 23*c**2. Let n(r) = -36*r**2 - 28*r. Let w(h) = -4*h**2 - 3*h. Let y = 14 - 154. Let k = 112 + y. Let q(t) = k*w(t) + 3*n(t). What is q(f(a))?\nAnswer: 2116*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18322, 17035, 15748?\n\"Answer: -1287*k + 19609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -796 - -3924\/5. Let w = u + 514\/45. Let b = -125 - -112. Put b, w, 0.5 in decreasing order.\nAnswer: 0.5, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-35))\/((-17)\/170).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1757\/13 + -135. Let i(y) = y**3 - 3*y**2 - 3*y - 5. Let z be i(4). Is z <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - 2*p**4 - 12*p**2 + p**3 + 203 - 201 - 9*p**2 as t*p**3 + s*p**2 + a*p**4 + g*p + y and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + sqrt(162)) - (((sqrt(162) - (sqrt(162) - (sqrt(162) + 1 + sqrt(162)))) + sqrt(162))*-6 + sqrt(162))**2)*2 + 0.\nAnswer: -93692 - 3744*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.42 + 2.23. Let j = l + 41.69. Let p = -41 + j. What is the nearest to p in 0.4, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7342958 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**3 - 765*g**2 + 61056*g - 1449444 = 0.\nAnswer: 43, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, 160, 704, 1766, 3520, 6140?\nAnswer: 9800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, i: 1, o: 4, k: 1}. What is prob of picking 2 v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1039 by -2.\nAnswer: 1039\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3 + 67 = -2*r, -155 = 5*r - g. Is r\/70 - 766\/(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/(-3))\/(20\/30). Suppose 26 = l + d. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 48071*n + 1683724. What is x(-35)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 70*c + 82. Suppose -25*z = -15*z + 10. Suppose 3*g - 5 = -r, g + 1 = 2*g. What is the least common multiple of r and m(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017559 to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 + 75*u - 31. Let z be x(37). Let o(b) be the second derivative of z*b - 2*b**2 + 0 - 1\/6*b**3. Determine o(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 380982 and 21.\nAnswer: 380982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30240 = 327*u - 167*u. Solve 70 = 175*n - u*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73 - -362\/5. Let d = 344\/5 - 69. Let s = 663 - 658. Which is the nearest to d? (a) s (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bak. What is prob of picking 1 k and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {n: 2, h: 2, w: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4388185, -8776335, -13164485, -17552635, -21940785?\nAnswer: -26328935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**5*a*a*a*a**(-4)\/a)**(-38) assuming a is positive.\nAnswer: a**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 7, m: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6934.03ug in grams?\nAnswer: 0.00693403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6344711.7 plus -4.13679?\nAnswer: 6344707.56321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, i: 3}. What is prob of sequence iii?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59 + 20. Let w = -79.4 + k. What is the third smallest value in w, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 76*l + 5491. Determine u(-74).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 46.51552 nanograms?\nAnswer: 0.00000004651552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50178691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g*w**4*y - 2*g*w**3*y**2 - 2*g*w**2*y**2 - 30*g*w + 6*w**3*y**2 + 2*w**2*y**2 - 2*w**2*y wrt w?\nAnswer: 24*g*w*y - 12*g*y**2 + 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1001 is divided by 144.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) -2 (c) 0.46383\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4419*-2\nAnswer: -8838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 0*c**2 + 0*c - 2\/3*c**6 + 0*c**5 + 11\/3*c**3 + 0*c**4 + 17. Find the third derivative of i(r) wrt r.\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 a when three letters picked without replacement from abdsssadad?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 7*x**2 - 4*x + 3. Let u be i(6). Suppose 5*t + 4*k = 470, 5 = k - 0*k. Let m = t + u. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 4*a + 2060, 0 = 8*n - 3*n - 3*a - 2567. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 95 and 55?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 7*j - 16 = -2*n, -3*j = -4*n + 32 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(135\/48))\/((-36)\/270*5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 43*w + 6. Let j be -6 - -1 - (-6 + (6 - -534)). Let m(z) = 3871*z + 539. Give j*s(t) + 6*m(t).\nAnswer: 49*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**4 - 6895*l**3 - 3177405*l**2 - 610716645*l - 42279521130 = 0. What is l?\nAnswer: -686, -231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**3 - 31980*y**2 + 384208*y - 1024896 = 0.\nAnswer: -8007, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/126 and -43\/262002048?\nAnswer: 786006144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 134 - 43 = 0. Which is the second smallest value? (a) 2\/7 (b) u (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5)*(-15)\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5 + 6 = z, -5*z = -4*h - 56. Suppose -15 = 5*y, 61 + 44 = 4*j + 5*y. What is the greatest common divisor of j and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 + 22. Suppose -6*v + b = -v. What is the lowest common multiple of v and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 32. Calculate the least common multiple of 110 and j(-12).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**3 - 7089*y**2 + 4177173*y + 12595401 = 0. What is y?\nAnswer: -3, 1183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 2521*i**5\/20 + 5687*i**2\/2 + 5428*i. Differentiate z(x) with respect to x.\nAnswer: 7563*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/1056 and 47\/132?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20\/2)\/(9\/81). What is the greatest common divisor of r and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**2 + 1888*o + 3792 = 0. Calculate o.\nAnswer: -2, 474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -436.1?\nAnswer: 130.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 12 - 3. Let t be 2 + (-15)\/3 - y. Let f(o) = o**2 + o + 13. Let k be f(t). What is the greatest common divisor of 26 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (3 - 0) - (-12 + 11 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 + 5*w**2 - 5*w**2. Let n(z) = -6*z**2 + 5. Let q(f) = 21*f**2 - 18. Let m(s) = -18*n(s) - 5*q(s). Determine m(j(b)).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 8454216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 z, 1 y, and 1 x when four letters picked without replacement from {z: 1, j: 2, x: 3, y: 5, a: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, q: 2, h: 1, d: 1, w: 1}. What is prob of sequence dq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + sqrt(396))**2 + (sqrt(77) - sqrt(77)*2)\/sqrt(7) + sqrt(11) + (sqrt(22)\/(-1*sqrt(2)) - sqrt(11))**2 + 4.\nAnswer: -12*sqrt(11) + 443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4323 + 4161. Let b = -11 + 10.9. Is b at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 679609, 1359213, 2038805, 2718379, 3397929?\n\"Answer: -s**3 + 679611*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 26*j**3 - 4*j**2 + 4*j - 4. Let m be 9\/24*(7 + 1). Let u(i) = -27*i**3 + 3*i**2 - 3*i + 3. Give m*g(k) + 4*u(k).\nAnswer: -30*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -697, -695, -693?\nAnswer: -691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -2. Suppose g + 2 = b, -4*g = 2*b + 2 - 6. Suppose c = -g*c. Put m, c, -4 in descending order.\nAnswer: m, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.28198 rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 51252.\nAnswer: 307512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 a when two letters picked without replacement from faafaaaa?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -360*d - 105. Let a(q) = 21*q + 6. Let c(s) = 105*a(s) + 6*n(s). Let k(o) = 44*o. Give 6*c(i) - 7*k(i).\nAnswer: -38*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 3*h - 15, -9*o + 25 = -6*o + 5*h. Suppose o = -7*c - 44 + 2095. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4016\/64 + (-2)\/(-8). Let a = h - 62. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197248?\nAnswer: 2, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 4, 7, -11.\nAnswer: -11, -4\/9, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*w**4 + 151*w**2 - 149*w**2 + w**3 - 10*w + 0*w**4 as j*w**4 + z + l*w**3 + h*w + g*w**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*j - 2461 = -7685, 5*j = r - 1061. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106113?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.5 + 0.5. Suppose 5*g = 29 - 4. Which is the nearest to 0? (a) y (b) g (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*w**3*z + 926*w**3 + 106147*w**2*z**3 - 6130*w**2 with respect to z.\nAnswer: 6*w**3 + 318441*w**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -3\/4 (b) -0.1 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/5 + 138*x**2\/5 + 19044*x\/5 - 2628072\/5.\nAnswer: -(x - 138)**2*(x + 138)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 2:24 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.026 times 2\nAnswer: 0.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8.5 in -54, 4\/7, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69 - -28. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7, -19, -31?\n\"Answer: -12*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -285 or -281?\nAnswer: -285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 - 8*r - 10. Let g be p(-5). Suppose 14*s = 9*s + g. Suppose s = 34*j - 30*j. Solve -v + 4*u = 6, 2*u = -0*v + 4*v - j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 26. Let z = x + 2. Let o = z + -4. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 8*d**3 + d + 1. Let z be y(-1). Let m be 10\/(-4)*z\/50. Which is the biggest value? (a) -3 (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(2)*-2 + (sqrt(162)*-1 - sqrt(162)).\nAnswer: -20*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49062 + -39950. What is the highest common factor of 402 and n?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 9 + 216. What is the highest common divisor of 30 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14958*s**2 - 125*s + 17?\nAnswer: 29916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 85, 111, 137, 163?\n\"Answer: 26*i + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 49, -1\/2, 0.5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t**4 + 2205*t**3 + 5*t**2 - 41.\nAnswer: 24*t + 13230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-14) + (-64)\/(-14). Solve k*r = -0*r + 3*s - 27, -15 = r - 3*s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 346, 46, -254, -554, -854?\nAnswer: -1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.8 and -10.5?\nAnswer: 18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((-1)\/(-3)*3). Suppose 6*n = 11*n + c, f = -4*c. Solve -m + 6*m - 25 = n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/25)\/v)\/v)\/v**21*(v*v*(v\/(v*v**(10\/7)\/v*v))\/v*v*v*v*v)\/(v**15*v) assuming v is positive.\nAnswer: v**(-6207\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88 + 123.9. Let j = v - 35.9. Let t(m) = 2*m + 1. Let w be t(-2). Which is smaller: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 142. Let u(y) = 8*y**2 - 22*y. Give c(u(h)).\nAnswer: -8*h**2 + 22*h + 142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 1133300213?\nAnswer: 1133300222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 10. Let b be u(-2). Suppose -12*f - b = -13*f. Let d = 20821\/7 - 2965. Which is smaller: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*a + 154 = -2*h, -4*a = 2*h + 88. Let m be 4\/(-22) - h\/22. Differentiate 1 + 0*o**2 + 0*o**2 - o**m with respect to o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1110*f - 2590. What is the ten thousands digit of c(27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 29 = 9. Suppose 4*u - n = -3*f, -3*f + 3*u + 2*u = -55. Suppose -f = -2*s + 12. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5\/4 - 1811*b**4\/4 + 1807*b**3\/4 + 5435*b**2\/4 - 2263*b + 905 = 0. Calculate b.\nAnswer: -2, 1, 1810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a + 0*a - a + a**2 + 4. List the prime factors of h(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -29808*i + 327879. What is j(11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12 times 6\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - f + 4. Let l(z) be the third derivative of -5*z**4\/12 - 7*z**3\/6 + 31*z**2. Let u be l(-1). Determine a(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1079 + 3367\/3. Do 42 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 765342 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(143)*2 + -6*2*sqrt(143))\/(-1*sqrt(55)\/(sqrt(2205)\/sqrt(9))).\nAnswer: 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 11:33 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*b + 115 = -41 - 79. Solve a - 12 + 7 = 0, b*a = -5*u + 15 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c - 7. Let x be a(3). Let q(f) = -6*f + 44. Let i be q(3). Suppose 2*t = -4*d + 402 + i, -x*t = -20. What are the prime factors of d?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/8 of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411415.\nAnswer: 5, 107, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 61 = 83. Solve 2*f - 3*y = 4*f - 2, 4*y + v = 2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q - 5*q + 3*q)*(6*q - 5*q + q) + 0*q**2 + 3*q**2 - q**2 + 22*q**2 - 141*q**2 + 754*q**2 in the form w*q + t*q**2 + d and give t.\nAnswer: 639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/8 and 97\/666.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16911 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -309730762.\nAnswer: -309730762.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -57, -54, -51, -54, -69?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31574541 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*s**2 - 36029*s + 884833 with respect to s.\nAnswer: -16*s - 36029","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - e768?\nAnswer: -e76a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 + -48. Let p be (6*(-1)\/4)\/3. What is the closest to z in 2, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*r**2 + 3*r**2 - 12*r**3 + 0*r - 2*r + 2*r**2 + 2 as x*r**3 + z + o*r + q*r**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -153, -301, -509, -777?\nAnswer: -1105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apqc when four letters picked without replacement from {y: 2, a: 3, p: 1, q: 1, c: 3, o: 1}.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/a**(1\/3))\/a)\/a**(-7)*(a**36)**(-1\/3) assuming a is positive.\nAnswer: a**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -275634*u*x**4 + 2*u*x**2 - 66450*u - 36 with respect to x.\nAnswer: -1102536*u*x**3 + 4*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 128 = -138. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from {q: 4, d: 2, l: 3, b: 2, s: 6}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 - 5*k + 4. Suppose o + 3*a + 2 = 6, 0 = -5*o + 3*a + 2. Let l be 0\/(-2) + o + -6. What is the units digit of y(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 3 = 3*f - 0*f, 5*f + 2*j - 1 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*h + 1350 = -h, 0 = -5*h. Let y = r + 1032. Let n be 1\/2 + y\/(-6). What is n rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 8) + (-9 - -13). Sort o, 2, 4, -5.\nAnswer: -5, o, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111 - 93. Let c = 22 - l. What is the third derivative of 2308*x**2 - 2286*x**2 - c + 4 + 10*x**6 wrt x?\nAnswer: 1200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408 is divided by 152.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d - 4*d - d)*(-7*d**2 - 2 + 8*d**2 + 2*d + 7*d) to the form o*d + u*d**3 + p*d**2 + r and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 5*k - 45 = -35, -2*k = -2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**3 - 4*r**2 + r. Suppose -w + 5*w = -4. Let y be w\/2*(0 + 6). What are the prime factors of g(y)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*u + 44*u = -88938. Is 27 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -11*v. Let w(a) = -18*a + 10. What is u(w(m))?\nAnswer: 198*m - 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ecz when three letters picked without replacement from zhzhzyeyhooczee?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10140\/7 - -56180\/21. Which is greater: f or 1228?\nAnswer: 1228","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 75, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-144)*-2)\/(2\/(-6)). Put b, -23, -3 in increasing order.\nAnswer: -23, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 24 = -14*f, -6*t - 604 + 399 = -t + 5*f for t.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2490.\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 895 and 1005085.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -17*h - 149. What is the remainder when i(-9) is divided by (-6)\/4*20\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246.87392 rounded to the nearest 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 4*w = 8*w + 10, -6 = 3*h + 5*w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) 1\/2 (b) 0.3 (c) -0.2 (d) -1279\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 5*n**2 - 2*n - 7. Let f be q(-5). Let v = -3 + f. Suppose v = -2*i - 0*i + 14. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 603.093 or -0.1?\nAnswer: 603.093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2 + 379*y + 2145 = 0 for y.\nAnswer: -11\/2, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 d, and 2 w when four letters picked without replacement from {f: 1, w: 3, d: 2, g: 7, o: 1}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 + -4.4. Let j = -100 + 100.4. Let g = -37.5 + 38. Put w, g, 3\/8, j in descending order.\nAnswer: g, j, 3\/8, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 239, 497, 741, 965, 1163, 1329, 1457?\n\"Answer: -u**3 - u**2 + 268*u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**0)**(-2\/27)\/((g**(6\/11)\/g)\/g*g**(-4)))\/(g**(4\/9)*g**4)**(-4\/29) assuming g is positive.\nAnswer: g**(51622\/8613)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -7, 26, -8, -2, 2.\nAnswer: -9, -8, -7, -2, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c + 146. Let p(o) = 5*o + 146. Give -6*f(s) + 5*p(s).\nAnswer: 7*s - 146","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y + 5. Let m(o) = -2*o - 15. What is -2*m(z) - 7*u(z)?\nAnswer: -3*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10729 is divided by 75?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 97 in -4, 11, 2\/15?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4 + 25*i**3 + 15*i**2 - 25*i - 20.\nAnswer: 5*(i - 1)*(i + 1)**2*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frs when three letters picked without replacement from {m: 1, s: 3, d: 6, r: 1, f: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 15024 (b) 0 (c) -0.2 (d) -16\/65 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 13) in base 5?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkvakkkkwkaknavk. Give prob of sequence vanv.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -82, -146, -204, -256?\n\"Answer: 3*g**2 - 73*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 z when three letters picked without replacement from {n: 6, u: 4, r: 2, z: 4, b: 4}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -552*y - 10431. Let u(c) = c**2 + 5*c - 8. What is the remainder when l(-19) is divided by u(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4752 (base 14) to base 12\nAnswer: 7230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7328 and 6576?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 3:16 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3195\/(-63))\/((-57)\/(10374\/(-65))).\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*y + 36, -2*y = 5*l - 5*y - 45. Suppose -353 + 1046 = l*h. Let r(n) = -h - n + 77. Let a(q) = -3*q**2. Calculate a(r(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 11*d - 12. Let f(q) = -5*q**2 + 45*q + 49. Let y(n) = -2*f(n) - 9*g(n). Give y(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0 - -8) + -19931 + 19931?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 23 + 0)*(6*m - 3*m + 0*m) - 22*m + 37*m - 10 - 13*m.\nAnswer: -130*m - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) -0.15 (b) 32 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 44*l + 1333. Calculate the remainder when z(-26) is divided by 101.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/346 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x - 2*x + 4*x**2 + (-4*x**2 + 4*x**2 + x**2)*(3 + 1 - 2).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -190962*s**2\/5 + 4944*s\/5 - 32\/5.\nAnswer: -2*(309*s - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851581408.\nAnswer: 2, 17, 31, 50497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 26.93999589293.\nAnswer: 26.93999589293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 99971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/50 - (-4048)\/330*-3.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.75 (b) 0.07 (c) 508\/5 (d) -0.2 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 10*b - 11*b + 3, 0 = 4*u - 3*b + 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uoou when four letters picked without replacement from {o: 6, u: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 400.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 531 bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 581.\nAnswer: -2\/581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*o**5 + 4*o**4 - 302*o**2 wrt o?\nAnswer: -1260*o**2 + 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4343 + -1700. Let n = 4513 - d. What are the prime factors of n?\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -7*u**3 - 5*u - 5. Let k(j) be the first derivative of -5*j**4\/2 - 7*j**2\/2 - 7*j - 21. Give -5*k(n) + 7*z(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p + 22 - 7*p - 2*p**2 - 22.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 320\/2432*((-16)\/(-10))\/2.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 26080*i + 1929912. Give p(-74).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275812053?\nAnswer: 3, 11, 31, 53, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**5\/60 + k**4\/24 + k**3 - k**2\/2 + 2. Let h(y) be the second derivative of f(y). What are the prime factors of h(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 17898*a + 11275743. Give u(-630).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -427337.\nAnswer: -427341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/2600 and 56\/39?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93 - 4*w**3 + 82 - 10 - 2*w to the form l*w + q*w**3 + p*w**2 + j and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 137, -2\/3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i - 4 = -4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 - 2*t**2 + 11*t - 3. Let u(y) = 3*y**3 + 3*y**2 - 12*y + 4. Calculate -4*k(b) - 3*u(b).\nAnswer: -b**3 - b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*q**3 + q**3 + 2*q**3)*(-10*q - q - 25*q) in the form j*q**2 + k*q + d + h*q**4 + g*q**3 and give h.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16322, 16310, 16304, 16316, 16358, 16442, 16580, 16784?\nAnswer: 17066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 - -123?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 10) to base 2.\nAnswer: -100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - 4)\/((-2)\/(-2234)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.561, -5, -13 in ascending order.\nAnswer: -13, -5, -0.561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 193\/(-386)*(-30 - (0 - 0)). Solve -r = 14*h - 9*h + 3*x, h - 4*x = -3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 3, 0, -9, -3433, 5 in decreasing order.\nAnswer: 18, 5, 3, 0, -9, -3433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/9948 and -151\/72.\nAnswer: 59688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) + sqrt(125)\/sqrt(45))\/(sqrt(500) + -1*sqrt(500) + sqrt(5)).\nAnswer: 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 0 = g. Let p = -45 - g. Solve -n - p = -4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a microsecond in nanoseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a tonne in kilograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22263*-5.\nAnswer: 111315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5361960, -5361959, -5361958, -5361957, -5361956, -5361955?\nAnswer: -5361954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 35*c**2 - 35*c + 28. Let i be j(34). What are the prime factors of (-1)\/i*(-20 - -17)*-684?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174642959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -0.3, 8, 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58409123527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/25? (a) -3 (b) -0.68 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.51*5.\nAnswer: -22.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2236 - -6.13783831.\nAnswer: 2242.13783831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -74979, -1\/2, -7, -4\/5.\nAnswer: -74979, -7, -4\/5, -1\/2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 14*h**2 - 26*h + 114. Suppose -r - 2*r = -66. Calculate the least common multiple of r and s(-16).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 4:49 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 346 = -2*g, -2*q = 3*q + 5*g - 395. Suppose y = -0*y + 17. What is the remainder when q is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1280 and 8036180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by (-12*11\/(-330))\/((-8)\/(-260))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8895.1504 times 0.5\nAnswer: -4447.5752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.054 + -0.073. Let j = -0.077 - l. Let k = 8 + -11. What is the nearest to 0 in k, -0.2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1361.987 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17082529 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 97*c + 483. Determine j(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.48*-44.\nAnswer: 21.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 960 and 1514460.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17046, 17041, 17032, 17019, 17002?\nAnswer: 16981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2. Let i = 56 - 20. Let g(r) be the first derivative of 4*r**2 - 71 + i + 28. Determine h(g(j)).\nAnswer: 128*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2234173 is divided by 134.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**4 + 949*a**3 - 4*a - 140931.\nAnswer: 4*a**3 + 2847*a**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 2 = -4*h + 2*h, -h - 8 = 2*x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (124\/62)\/((-4)\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*v**3 + 467 + 994 - 1919 + 458.\nAnswer: 89*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144524*s - 292075*s - 76889*s.\nAnswer: -513488*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b + b + 83011 - 83011. Let f(j) = 70*j**2. Let t(x) = -5*x**2. Let n(o) = 6*f(o) + 85*t(o). Give n(d(h)).\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6 - 5*d - 2052*d**2 + 7*d**3 + 2060*d**2 - 5*d**3. Let c(y) = -2*y**3 - 9*y**2 + 6*y + 7. Let b(w) = 4*c(w) + 5*i(w). What is b(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -40. Suppose 160 = -13*u + h*u. Calculate the greatest common factor of 32 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u - 3*u + 0*u)*((2 - 2 + 2)*(4*u**2 - 2*u**2 + 0*u**2) - 2*u**2 - 4*u**2 + 4*u**2 - u**2 + 0*u**2 + 2*u**2 + 6 - 6 + 2*u**2).\nAnswer: 15*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h + 0*h + 162 - 82 - 80.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4932 and 16736?\nAnswer: 20635488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 49*k - 6. What is the units digit of p(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**4 + 3*u**4 - 3*u**4)*(1 - 2*u + 2*u - u).\nAnswer: -u**5 + u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r**2 + 31*r - 133. Determine u(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8.6 * 1\nAnswer: -8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 - 10*r**2 + 10*r - 4. Let d be y(4). Is 38 a factor of (74\/d)\/(62\/(-16) + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51\/2 - 249\/10. What is the third smallest value in 0, r, -4, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1688\/(-11394))\/(((-2)\/(-84) - 0)*-4). Sort -1, n, 0, -0.3, -3 in ascending order.\nAnswer: -3, -1, -0.3, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000799555372 rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*(((-9)\/5)\/3)\/(71\/7810)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 4*u**2 - 7*u - 4. Let i be x(-5). Let w(a) = 9*a. What is the units digit of w(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -564438 + -14?\nAnswer: -564452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 68 + 54\/9 - 7. Suppose 67 = -8*a + 9*a. Is a equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + sqrt(2))**2 + (-3*sqrt(2)*3)**2.\nAnswer: 2*sqrt(2) + 165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 69*z - 68*z, -3*z + 2*o + 24 = 0. Solve 0 = j - l + 6, -18 = -j - 5*l - z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 16 = 3*n + 2*f, n - 7 = -3*f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 305231*a**3 - 59*a**2 + 2727 wrt a.\nAnswer: 1831386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t*t**(-2\/7)))\/t*t)**(-29)\/((t**11*t)\/((t**(-3)*t)\/t)) assuming t is positive.\nAnswer: t**(-366\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 680423477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.7 + -2.7. Let m be 3\/(90\/60*20\/6). Which is the nearest to g? (a) m (b) 2\/9 (c) -2\/27 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 52*b - 231. What is v(30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 94.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 times 4097?\nAnswer: -495737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 766 divided by -2809\nAnswer: -766\/2809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-1 + (-4)\/6. Suppose 4*t + 3*x + 2*x = 67, 0 = -2*t + 2*x + 20. Suppose 2*u - v + 4 = t, 5*u + v = 19. What is the closest to -2\/7 in u, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 6)*(4 - 4 - 3)*(j - 2*j - j) + j - 4*j + j.\nAnswer: -38*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 23. Suppose -3*z = 0, 4*p - z - 31 - c = 0. Suppose 112 = 3*y - i - 99, 0 = 2*i + 2. What is the greatest common divisor of p and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/15 or -816.7074?\nAnswer: -816.7074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**4\/12 - 6*g. Let z(q) = 7*q. Determine z(x(f)).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 36*l - 920. Calculate the least common multiple of 35 and f(-56).\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1778155708?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 19*t + 8. Let c be v(14). Let q = c - -273. Is q 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 -7938117, -15876231, -23814345, -31752459?\nAnswer: -39690573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 6 = 24. Suppose -258 = -p*m + 192. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4 + 360*k**3 + 9552*k**2 + 82840*k + 73644.\nAnswer: 4*(k + 1)*(k + 19)**2*(k + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q - 7*q + 169. Suppose -q*j = 6*j - 38. Calculate the least common multiple of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = a, 0*b - 4*b = -4*a + 12. Suppose -45 = -5*c + 5*u - 0*u, 2*c - 5*u = 27. What is the remainder when c is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 + 3594565*a**3 + 3594570*a**2.\nAnswer: -5*a**2*(a - 718914)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36070 and 2665.\nAnswer: 96126550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12111010101 (base 3) to base 4.\nAnswer: -122113033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(((-27)\/(-6))\/9). Let h be -1*x*(-3)\/1. Let q(b) = 2*b - 5. Let y(s) = -1. Determine h*y(n) + q(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7, -3, -3, -13, -39, -87?\n\"Answer: -b**3 + 4*b**2 - b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 4*x**2 + 3*x + 2. Let f be h(3). Suppose 3*g - 815 = -f*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8)**48*(j*j*j*j**(-2\/5))\/j**(-4) assuming j is positive.\nAnswer: j**(1953\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2247, -8985, -20213, -35931, -56139, -80837, -110025?\nAnswer: -143703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-1265))\/(617\/(-6787)).\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 205131609?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-4)*(-2)\/(-3). Let z = 1.221 + 0.33. Let j = 0.449 + z. Which is the nearest to j? (a) s (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 103336 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - (0 - (-1 + -3)). Let y be (-57)\/12 + (-6)\/n. Find the common denominator of (-22)\/y + 2\/8 and -73\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556566 is divided by 92761.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4589275l in millilitres?\nAnswer: 458.9275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/14 - (-18304)\/(-77). Suppose 5*p - 3*g - 2293 = 0, -2*g + 6 + 2 = 0. Let n = p + t. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -169 - -277. What is the highest common factor of 48 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78907 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/7))\/(p\/(p*(p**2*p)\/p)))**(1\/25)\/(p**(-3\/7)*p\/p**(-5))**(-11) assuming p is positive.\nAnswer: p**(10748\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 15, 3*t - t - 4*g - 1836332 = 0. Let q = t - 1757160. What is q rounded to the nearest ten thousand?\nAnswer: -840000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 2:57 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/105 (b) 25 (c) 3.48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (182\/(-35))\/(1 - 57\/30). Is c > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -4, -557, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 116*d**2 - 16*d - 464.\nAnswer: 4*(d - 2)*(d + 2)*(d + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1 + 1)\/(-1))\/(-3). Let k be 4\/(h - (-1)\/4). List the prime factors of 6*(-4)\/k*-10.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.7 + -0.7. Let r = -4 + w. Which is the closest to r? (a) 0.5 (b) 2\/9 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 133 * 0.148117.\nAnswer: 19.699561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 + 36. Let j(u) be the second derivative of -219*u**3\/2 - 13*u**2\/2 + u. Let z be j(v). Round z to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -32. Let w(i) = -i**2 + 8. Let b(h) = a(h) + 4*w(h). Let d(k) = 80*k - 2. Calculate d(b(m)).\nAnswer: -320*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.1 less than 697374.7?\nAnswer: 697417.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*sqrt(325) + -5)**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 37\/2 of a centimeter?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -798a (base 12) to base 3.\nAnswer: -200111221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (82656\/(-15744))\/(((-18)\/16)\/(-3))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2182757 + x + 1091379 + 1091378. Let n(o) be the third derivative of 7*o**4\/8 - 5*o**2. Calculate z(n(h)).\nAnswer: 21*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 8010.\nAnswer: 16020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*q + 188 = 773, 5*q = 3*i - 880. What is the highest common factor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*i = 135, x + 4*i - 37 - 38 = 0. Round x to the nearest integer.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6181881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46511 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - (-274497)\/(-2))*(-12 + 10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-26) + (-360)\/(-26). Calculate the common denominator of (-10)\/j*14\/12 and (-153)\/(-176) - -1 - 128\/704.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123919111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 - f**5 - f**4)*(3 - 4 + 4) + (2*f**5 + 0*f**3 + 0*f**3)*(5 - 1 - 3).\nAnswer: -f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10977 or 10987?\nAnswer: 10987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 728970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/4)*b)**21*(b**(-1))**(25\/3))**(-24))**(-16) assuming b is positive.\nAnswer: b**2848","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 404224 and 640.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51857474.\nAnswer: 2, 25928737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 + 53*g**2 - 84*g + 19. Let c be h(-28). What is the closest to 0 in -1, -4, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8540 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 2:53 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(704) - sqrt(704)*1*-1) + -3*(-1 + sqrt(704) - sqrt(704)))*1)**2.\nAnswer: 96*sqrt(11) + 2825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-140)\/(-44) + (-355)\/115 + 2\/23.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216) - (4 + sqrt(1216)*2 + sqrt(1216))**2.\nAnswer: -10960 - 184*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eemquuheuueuwhq.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -13*c**4\/2 - 2*c**3 - 3*c**2 + 58. What is the third derivative of b(o) wrt o?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9539?\nAnswer: 9539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c + 3*c - 3*c to v + i*c and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*p + 108. Suppose 0 = -3*q + 7*q - p. Let l be 8\/6 - (-6)\/q. What is the third biggest value in 1, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4*s + 4)*(26 + 3 + 3) - 39 - 20*s + 39.\nAnswer: 108*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -15*l**2 + 4*l + 14. Let s(h) = 5*h**2 - h - 5. Calculate -3*j(r) - 8*s(r).\nAnswer: 5*r**2 - 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, x: 1, a: 4, n: 2, f: 1}. Give prob of sequence fd.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 93?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285649?\nAnswer: 7, 13, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-56 + 20)\/(-2178 + 2 + -6). Is 0 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-9)*2340\/(-40)*(-2)\/(-6)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/sqrt(28) + 2 + sqrt(33)\/sqrt(3) - (sqrt(99)*-3 + sqrt(99) + -3))*-1.\nAnswer: -15*sqrt(11)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3379 and 13763?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3458647?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.4 (b) 3 (c) -20 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-9009)\/(-9191) - (-4846)\/101\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - 3. Let x be p(3). Let z be 0\/2*x\/12. Suppose -5*r + 136 - 36 = z. Solve r = 6*o - o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1510 (base 8) to base 5.\nAnswer: 11330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 16, 22, 26, 28, 28, 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/12 - 14\/(-3). Let i(k) = 3*k - 5 + 3*k - r*k. What is i(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2740108 divided by 28\nAnswer: -97861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 8*y. Let h(j) = -23*j. Let t(r) = -6*h(r) - 17*z(r). Let f(u) = 12*u. Let d(g) = 3*g. Let b(w) = 9*d(w) - 2*f(w). What is b(t(c))?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2359*t**4 + t**2 - 2897*t - 79926381 wrt t.\nAnswer: 9436*t**3 + 2*t - 2897","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 72191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1736854 and 419125?\nAnswer: 3353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 5*l - 2. Let g be x(6). Let i = -405 + 425. Let b = g + i. Is 11 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.520547l to millilitres.\nAnswer: 5520.547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 157\/855 - 13\/45. Which is the closest to 4? (a) 1\/7 (b) -0.4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16446 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40496 - -1?\nAnswer: -40495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**7\/(l\/(l*l**(7\/3)*l))*(((l\/(l**(-1)\/l))\/l*l)\/l)**(-2\/17) assuming l is positive.\nAnswer: l**(515\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.2, 1\/44?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18187.6 - -18188. What is the closest to -2\/17 in -0.01, 2\/7, l, -0.7?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/80491?\nAnswer: -2\/80491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-7 - -3) - -2 - 16\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*r**4 + 19132*r**2 + 195255208*r.\nAnswer: 420*r**2 + 38264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 10:55 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/5 - 75*l**2 - 12767*l\/5 + 13143\/5.\nAnswer: -(l - 1)*(l + 39)*(l + 337)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 341 and 0.4.\nAnswer: 136.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/4)\/((-2)\/(-12)). Let z be (0 - 1)\/(2\/(-8)). Let g be z\/14 - (-54)\/(-42). Which is the closest to g? (a) 0.4 (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + 0 + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2921 and 0.5.\nAnswer: 1460.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 4) in base 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(700) + -1 + -5 + 5)**2 + 0.\nAnswer: -40*sqrt(7) + 2801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 5*q + 60 = 2*l, -5*l - q = 66. Let b = l - -8. Let j(h) = h**3 + 6*h**2 - 2*h - 6. Does 12 divide j(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -1. Calculate the lowest common multiple of (-4)\/6*(b - 18) and 3 - (1 + -4 - -2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3212*j - 18980. What is n(-6)?\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 11) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*f = -39*f - 133 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 10*w**2 - 173*w + 3. Let b(o) = 0 - 12 - 6*o**2 + 4 - 8*o**2 + 174*o + 4. Let m(a) = -3*b(a) - 4*l(a). Determine r, given that m(r) = 0.\nAnswer: -85, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40260 + -7544. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/((2*sqrt(18))\/sqrt(3)))\/(sqrt(24)\/(sqrt(100)*2)).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80 - 82. What is the biggest value in -8, -2\/7, t, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1002\/5 - -3026\/15. Solve -j - v**2 + 13\/3*v = 0.\nAnswer: 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*a - 295 = 0. Suppose -2*v - a = -7*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 9*h**4 - 9*h**3 + 2 + 4*h**3 - 1 in the form t*h**3 + y + o*h**4 + p*h + j*h**2 and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 29159 = -4*y, 3*y - 466 = u - 6300. List the prime factors of u.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 + 3*w**3 - 4*w**3 - w**2 + 3*w. Let u be i(-4). Suppose t + u*k = 1 + 1, -t = k - 2. Solve -y = t*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**6\/40 + y**5\/30 - y**2\/2 - 3*y. Let j(z) be the first derivative of d(z). Find the third derivative of j(v) wrt v.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-7) - (-4 - -1). Put a, -1, -12 in ascending order.\nAnswer: -12, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48195*a - 48195*a - 265*a**2)*(-34 - 7*a + 34) + a**3 - a**3 - 2*a**3.\nAnswer: 1853*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 1. Suppose 2*n - 3*w = 2*w + 4, 2*n = -5*w - 16. Let u be d(n). Factor 7\/3*g - 2\/3 - 5\/3*g**u.\nAnswer: -(g - 1)*(5*g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5.145246ns?\nAnswer: 0.000000005145246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -39\/4, 2\/9491, 1, -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 28*4\/28.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 1. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 514*j - 449474. What is y(461)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0101312071 to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2 = 5*u - 0*f, -u + 2*f - 5 = 0. Let c be (1\/u)\/((-11)\/231). What is the units digit of (-510)\/c + 6\/(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -73 - 14?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -20*u - 313. What is the remainder when 3308 is divided by i(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -257.968 - -257. Let j = 0.9 + 0.1. Let n = j + b. What is n rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + 13?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2831*r**4 + 1824*r**4 + 1843*r**4 + (1 - 2*r - 1)*(-2*r**2 + r**3 + 2*r**2) - 6*r**2 + r**4 + 6*r**2 as q*r**2 + p*r**4 + a*r + m + u*r**3 and give p.\nAnswer: 835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56 - d + 2*d - 118 - d**2 + (2*d**2 + 7 - 7)*(2 - 3 + 2).\nAnswer: d**2 + d - 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1437 divided by -3?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01257 - -9.98743. What is the nearest to 0.15 in i, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s**3 - 7*s**2 + 3*s. Let b(k) = -6*k**3 - 9*k**2 + 4*k. Let v(f) = -3*b(f) + 4*j(f). Let h be v(-1). Solve -3*x + 1 = 2*a, -2*a + 6 = x - h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*o - 208*o + 54*o)*(6*o - 8 + 8).\nAnswer: -1326*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -23, -2 in descending order.\nAnswer: 4, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -330*p + 48. Let r be w(0). Solve 7*q - 34 = -r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 186 and 930?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a week in hours?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*t**3 - 2*t - 38?\nAnswer: 9*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**5 - 1122690*h**4 + 420148769319*h**3 - 52413558819861402*h**2 + 628883300873406852*h + 2358383276106682920 = 0.\nAnswer: -3, 15, 374226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-8))\/(30\/(-80))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11b7ee (base 15) in base 7?\nAnswer: 10133666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/108*(-11 - -15)*-84\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (26\/(-2))\/(1\/(-3)). Suppose 3*j = 2*n - 51 + 12, -3*n - 2*j + l = 0. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72 or 6\/11?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -44, -55, -66?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -0.2 (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*c + 32 = 76*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 38 = 3*n, n - 8*l + 34 = -3*l. Let a = -9 - n. Solve -4*s - 4*u = 0, s = 2*s - a*u - 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((15\/9 + -2)\/(-17)). Let x be (-34)\/c + (-2)\/(-3). Solve 0 = -y - s - 1 - 1, x = 4*y + 2*s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 632516 and -50.\nAnswer: -31625800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106 - -105. What is the nearest to o in 0.4, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*g + 51*g + 68*g.\nAnswer: 94*g","meta":{"dup_signals":{},"source":"polynomials__collect_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: Calculate the greatest common divisor of 95 and 1007.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -377*t**2 - 60*t**2 + t - 7*t + t in the form x*t**2 + a*t + p and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from ykckykkkkycyyky?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 2 (b) -1\/4 (c) -1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354*y = 349*y + 10005. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*i + 31*i - 29*i)*(-i + 0*i - 4*i).\nAnswer: 155*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10120 (base 3) to base 7.\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -3*o**4\/4 + 5*o**3 - 12*o**2 + 12*o - 11. Find q such that k(q) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14325*k**3*m + 2*k**3 - 3*k**2*m - 122949*k*m wrt k?\nAnswer: 85950*k*m + 12*k - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 69 (b) -1.71 (c) -29848\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73379 in 0.1, 13\/3, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 47, 178, 397, 710, 1123, 1642, 2273, 3022?\n\"Answer: m**3 + 38*m**2 + 10*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 - -48. Let h(m) = m - 6. Let j be h(6). Let s = 3 - 0. Solve -a*t - 4*n - 11 = j, -2*t + 2*n + 25 = s*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 20 - 0. What is the highest common divisor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -217 - 108. Let k(i) = i**3 - 28*i**2 - 7*i - 612. Let y be k(29). Calculate the greatest common factor of p and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -246.9 + 236. Let r = g - -8. Let j = r + -0.1. Which is the second smallest value? (a) j (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 93300.36 grams?\nAnswer: 93300360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 55.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1225582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*t + 4*n - 12, 0 = 4*t + n - 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**5 + 23924*z**4 + 95748*z**3 + 71820*z**2 = 0.\nAnswer: -3, -1, 0, 5985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-6)\/h**(1\/8)*(h*h**(-1\/19))**(-3) assuming h is positive.\nAnswer: h**(-1363\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -6 (b) 276 (c) -0.2 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53176743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1139 - 2*u**3 + 2*u**3 - 2*u**2 - 1135 - 9*u**4 + 10*u as s + y*u**4 + v*u**3 + b*u + m*u**2 and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2450 + -2449.999489. Round o to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1506910\/7 or -215272?\nAnswer: -215272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -533?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1117 - 272 = -58*x - 789 - 48 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/r**(-5)))\/(r**16*r) assuming r is positive.\nAnswer: r**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79546214 - 39006214. What is r rounded to the nearest one million?\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3203096.\nAnswer: 2, 13, 19, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 23768 divided by -68\nAnswer: -5942\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 981431 is divided by 162368?\nAnswer: 7223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76 - 73. Suppose 0 = -40*c + 39*c + v. Solve 0 = 3*b - c, -3*y - 4*b + 2 + 5 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59515 divided by 216?\nAnswer: 59515\/216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.051 (b) -5 (c) -1\/3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 7:57 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 28*a**3 - 4*a**2 - 3*a + 37. Let t be r(5). Suppose t = 3*u - o, 4*u - 3*o = 4264 + 297. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364 = 3*v - 2791. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15248 and 42.\nAnswer: 640416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -164660 (base 11) to base 2\nAnswer: -111110010000100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 21. Let s be p(-16). Suppose -2*m - 6 = 4*t, 2*t - 29 = -s*m + 3*t. Suppose 0 = j - m*j + 60. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhdhdhhhdhdhhd. Give prob of picking 3 d.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129470 is divided by 53.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + 21. Suppose -n = w + 16. Let r = 5 - w. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 106?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -333 + 0?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2707914 is divided by 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47587 is divided by 15856?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333512.\nAnswer: 2, 47, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 10636871 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/2 + 5 + -3. Let w(z) = 4*z. Let a(x) = x. Suppose 0 = -13*j + 5*j + 176. What is j*a(k) + t*w(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -80, -96, -130, -188, -276, -400?\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**6)**(2\/13)*(d*d*d*d*(d*d**(-1))\/d*d)\/d*d*d**(-13)*d*d)**47 assuming d is positive.\nAnswer: d**(-3713\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + a + 10 = -6*s, 4*s + 2*a = -30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 550 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32*q - 8 + 5 + 3)*(2 - 3 - 4) to the form n*q + y and give n.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/20)\/((-1827)\/87)*(-32)\/(-780)*3?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*k + 23. Let x = k - -49. What is the tens digit of x + (0\/4)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (5 + -6 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*f - f = 0, 0 = -2*t - 5*f - 9. Let q be (-4)\/(-1*(3 - 1)). Let a(j) = 5*j + 1 - q*j - j. Calculate a(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -63*o**2 + 4*o. Let k(l) = -15*l. Give q(k(n)).\nAnswer: -14175*n**2 - 60*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 2:11 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*v - 78*v + 192 = 0. Suppose 4*q = 2*a + 4, 0*q + 5*q = -a + 26. What is the greatest common factor of a and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1053*a + 1035*a - 7 - 13 + (4 - 2 + 0)*(3 - 2*a - 3).\nAnswer: -22*a - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*w = 91*w + 90*w + t + 24, -w - 4*t = 19 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.041 - 3.459. Let q = 3.5 + t. Let k = -1 - 0. Which is the third smallest value? (a) q (b) k (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**3 - 15*t**2 - 4*t + 37. What is l(8)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6466 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + sqrt(60)\/sqrt(2))\/sqrt(10) + (-1 + sqrt(147))**2.\nAnswer: -12*sqrt(3) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/((-84)\/105)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 198490 to the power of 1\/2, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 272.127 - 272. Let p = 0.268 - w. Let l = 0.589 + p. Round l to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -886459, -1772906, -2659353, -3545800, -4432247, -5318694?\nAnswer: -6205141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 158703714 and 702?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -742, -1536, -2404, -3388, -4530, -5872?\n\"Answer: -7*x**3 + 5*x**2 - 760*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 3*h + 6. Let q be h*((-92)\/30 + 3). Let p = -0.432 - -0.132. Which is the closest to -0.3? (a) 3\/8 (b) q (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17819795 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3702.1 rounded to the nearest ten?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 321111 + 6330?\nAnswer: 330441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**5\/20 + y**4 + 8*y**3 + 2*y**2. Factor r(q).\nAnswer: 3*(q + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-3\/10)\/h)*h**11)\/(h**(3\/10)\/h**(-1\/9)))**(2\/105) assuming h is positive.\nAnswer: h**(232\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -3 - (-27 + 29)) + -1 + (-45 - 3)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 + -2 - 10)*(-33)\/2. Is (-2)\/(-11) - ((-82884)\/v - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**2. Let n be (-6)\/(-15) - 8\/(-5). Let y(a) = -n + 2*a**2 + 6 - 4. Give t(y(h)).\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.9, -0.3, 0 in increasing order.\nAnswer: -0.3, 0, 7.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*y**2 - 4061 + 2254 + 1807.\nAnswer: 100*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y + 2688*y**2 - 2686*y**2 + 151*y**3 - 4 - 153*y**3 - 21*y**4 to the form z + r*y**3 + l*y**2 + d*y + k*y**4 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60320\/(-6240))\/(25*-29).\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(11*(-31)\/(1023\/(-90))))\/(2\/984). Find r such that 256\/5*r**3 + 0 - 76\/5*r**4 - 48\/5*r**5 + a*r**2 + 24\/5*r = 0.\nAnswer: -3, -1\/3, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175125 and 83370?\nAnswer: 973344750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**3 + 3*m**2 - m - 1. Let z be g(1). Let h(c) be the second derivative of 5\/6*c**3 + 0*c**2 + 1\/12*c**z - 4*c + 0. What is h(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 729.21694 plus 0.5?\nAnswer: 729.71694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.01 + -0.01. Let h = 134 - 133.43. Let q = h - 1.07. Which is the smallest value? (a) o (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 times 24?\nAnswer: 2520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*p = -6, 0 = -5*f - 3*p + 2*p - 6. Let m be 13\/((-26)\/(-8)) + f + -1. Suppose -a - m*q + 131 = -0*q, 5*q - 20 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2974, -6030, -9084, -12136, -15186, -18234, -21280?\nAnswer: -24324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -3*k**7\/70 + k**4\/6 + 5*k**2. Find the second derivative of v(q) wrt q.\nAnswer: -108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 a when three letters picked without replacement from {u: 1, v: 3, w: 7, a: 1, k: 2, x: 3}.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 16*g + 32. Calculate the remainder when k(-17) is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39958 (base 13) to base 15\nAnswer: -21aba","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/(-6))\/(49\/1029)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-42))\/((4\/(-54))\/((-599)\/(-1797)))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 1230264820?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 - 2 + 4)*(-3 + 0 + 1) + 0 + 6 - 5)*(-b**2 + 3*b**2 - 7*b**2)*(2*b + b - 2*b) to n + p*b**2 + c*b + a*b**3 and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18845 - -18840. Which is the third smallest value? (a) 2\/15 (b) -7 (c) 0.5 (d) q (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330742?\nAnswer: 2, 61, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 8*s**2 + 8*s + 6. Let o be u(-8). Let t = 61 + o. Let x be (5 - 1) + 408\/(-104). What is the third biggest value in 0.5, x, t, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 + 3*s**2 - 4*s**2)*(2 - 2*s - 2).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 7. Let f(t) = -t + 14. Let k be f(10). Suppose -k*n + 1 = a - 0*a, a - 2*n = 1. Put a, l, 5 in descending order.\nAnswer: 5, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + l = -2*m - 8, m = -2*l + 5. Is 7 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106582, 107221, 107858, 108493?\nAnswer: 109126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 741?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000100 + 111010110?\nAnswer: 1010011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 1548.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 19*m**2 - 9*m - 7. List the prime factors of x(21).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 124440*j + 3361338.\nAnswer: -2*(j - 27)*(j + 62247)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-189)\/(-35)*(-330)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + y - y**3 + 17 - 394*y**2 + 1376*y**2 in the form s*y + b*y**3 + w*y**2 + a and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 10:42 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15923 + 15926. What is the second biggest value in -7, -0.1, n, 0.088, -2?\nAnswer: 0.088","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -41, -24, -9, 4, 15?\n\"Answer: -m**2 + 20*m - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a + 95 = -12*a. Suppose -2*d + 0*d + 6 = 0. Solve -25 = -b - 5*i - 0*i, a*b + d*i - 15 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/7 + 166*d\/7 + 1200\/7.\nAnswer: 2*(d + 8)*(d + 75)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 978 = -378. What is the highest common factor of k and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 19. Let g(c) = -1326*c - 40. Give g(v(o)).\nAnswer: -1326*o**2 + 25154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 + j**4 - j**4 + (2*j**3 + 0*j**3 - 4*j**3)*(1 + 4*j - 6*j + 0*j).\nAnswer: 6*j**4 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012 + -111110?\nAnswer: -112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 32426 - -3?\nAnswer: 32429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 14, w: 4}. Give prob of picking 3 n and 1 w.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1515 and 825?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7574*o**4 - 2*o**2 - 10485*o wrt o?\nAnswer: -181776*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23453422151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -17*j - 4. Let y(k) = -3*k - 1. Let l(w) = -2*q(w) + 11*y(w). Let c(s) = s. Calculate l(c(i)).\nAnswer: i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(17) + 2 - (-1 + sqrt(34)\/sqrt(2))) + (4*(sqrt(425) + 0) + 4)**2.\nAnswer: 160*sqrt(17) + 6822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2. Let g be 0 - ((-20)\/5 - (2 + -4)). Let j(x) = -x + 0*x + 6*x**g + x. Calculate j(p(t)).\nAnswer: 24*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -324, -2, -357?\nAnswer: -324","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + 51\/(-35) + 34\/595.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (140 + 18075)*(-1)\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 21 - 1)*(3*z**3 - 2*z**3 + 0*z**3) + (-11 - 18 - 6)*(-z**3 + 2*z**3 - 3*z**3).\nAnswer: 38*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = f - 3626. What are the prime factors of f?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**5 + 474336*s**4\/5 - 4931532*s**3\/5 + 379344*s**2 = 0.\nAnswer: 0, 2\/5, 10, 31612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -19. Factor -6*s - 9*s**4 - 9*s**3 - 10*s**2 - 5*s**2 + 12*s**4 + r*s**5.\nAnswer: 3*s*(s - 2)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/10)\/(((5 + -17)\/12)\/5). Solve 2*l = 2, -p = -7*v + 4*v - 2*l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/243859 or 7\/5?\nAnswer: -10\/243859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 92\/381?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*n**3 - 15*n**2 - 11*n**2 + 7 + 3*n**3 + 38*n**2 + n - 2*n**3 in the form k*n**2 + a + r*n + j*n**3 and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/16 of a centimeter?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-4)\/(8\/10). Let y(b) = -b + 5. Let s be y(-6). Is s\/3*(g + 8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3656 by 2.\nAnswer: 1828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 5:32 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 121281*t + 41 - 121257*t - 41. Let g = -4 - -9. Let z(n) = 2*n**2 + 3. Let q(b) = 4*b**2 + 5. Let k(c) = g*z(c) - 3*q(c). What is j(k(u))?\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/264 and ((-2)\/35)\/((-432)\/36666).\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 7*y**2 + y + 12. What is t(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - p + 3*p + p)*(569 + 152 + 76).\nAnswer: 1594*p**2 + 2391*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o**2 + 6*o + 20. Does 9 divide g(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5448, 5447, 5446, 5445, 5444, 5443?\nAnswer: 5442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2. Let o(z) = -165 - 166 + 502 - 30*z - 163. Determine o(f(r)).\nAnswer: 60*r**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6047686 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 785123789 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 187*t - 30 wrt t.\nAnswer: 187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 249b78 (base 16) in base 7?\nAnswer: 26251310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14722161906 from -0.806.\nAnswer: -14722161906.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468485617.\nAnswer: 9901, 47317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2 + sqrt(2736))*-1 + 1 + -2)**2.\nAnswer: -10948 + 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 32. Solve i = -g - y, -2*g - 11 + 4 = i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -150 + 281\/2. Let p = 8 + y. Which is the third biggest value? (a) p (b) 13 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - 4*(sqrt(162)*4 + sqrt(162) - sqrt(162)))**2 - sqrt(162).\nAnswer: -9*sqrt(2) + 36450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 185 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 11*l. Let k(n) = 547 - 547 + 2*n. Give k(q(h)).\nAnswer: 22*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -12 - (58 - 38)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 12*q**2 - 2*q - 8. Determine d(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 6 = 5*b + 11, -5 = 5*b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**5\/20 + c**4\/2 - c**2\/2 - c. Let s = 259 - 264. What are the prime factors of i(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*(i**(4\/15)\/i)\/i)*i*i*i\/(i*i\/(i*i\/i**1))*(i**17*i)\/(i*i\/(i**(-5\/9)*i)))**(23\/2) assuming i is positive.\nAnswer: i**(21919\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 547425313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 672, 5473, 18536, 43989, 85960, 148577, 235968?\n\"Answer: 688*y**3 + 3*y**2 - 24*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -439*r. Let f(w) = -2*w. Determine f(l(b)).\nAnswer: 878*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 267099674 to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -29a (base 12) in base 9?\nAnswer: -501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2032, 2028, 2020, 2008, 1992?\nAnswer: 1972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 - u**3 - u**3 + 2*u**3 + 4*u**3 - 5*u**3 + (0 + u + 0)*(u**2 + 47*u - 47*u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*6\/144)\/(45\/10).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/10)\/(6\/8). Let y = 2 - 4. Let x = -0.4 - -4.4. Which is the nearest to y? (a) 6\/7 (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2497397346.855 + -0.06.\nAnswer: 2497397346.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 176 + 1?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53.12 - -51.12. Which is the nearest to r? (a) 0.1 (b) -13 (c) -0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/139, -18, 0.3, 1, 3.3, 4?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -210*k**2 + 86*k - 86*k + 4*k**2 - k**2 + 0*k**2 + (-1 + 1 - 1)*(-2*k**2 + 3*k**2 + 0*k**2) in the form c + d*k + x*k**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 h when two letters picked without replacement from {s: 2, e: 8, k: 1, h: 4}?\nAnswer: 32\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38939565.000113 + 38939382. Let l = y + 183. What is l rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 6 = 0, -4*b - 3360*x = -3364*x - 36 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 6:53 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 30*x - 132. What is t(-10)?\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 224420 and 16610.\nAnswer: 372761620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-160)*(-96)\/(-270))\/(1\/5).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000541 to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxlxwooxxxor. What is prob of picking 1 l, 1 r, 1 o, and 1 x?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -65.6077 and -6?\nAnswer: 393.6462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26, -23, -84, -157, -242, -339?\n\"Answer: -6*r**2 - 31*r + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-39)\/(-3)*-1. What is the common denominator of -35\/44 and (b\/6 - 5) + 1 + -3?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + 3 + (-1 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 5*g - 7. Let w(q) = -2*q**2 - 3*q + 2. Let y be w(1). Let p(t) = 2*t**2 - 9*t - 13. Let d(k) = y*p(k) + 5*s(k). What is d(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1195658*c. Let o(a) = -9*a. What is s(o(v))?\nAnswer: 10760922*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 261 + -241. Solve 6*n - n = i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 13646735 in increasing order.\nAnswer: -5, 5, 13646735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 9279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 327448*t**4 - 2*t - 869276 wrt t?\nAnswer: 3929376*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -116, -109, -100?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 13*b - 33 + 108.\nAnswer: 13*b + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -1.4, -1 in descending order.\nAnswer: -3\/4, -1, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -306*m - 2857 - 2859 + 5716 to g + x*m and give x.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 267941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005429034 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -47527851121+-4.1\nAnswer: -47527851125.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**2\/3 + 11768*k\/3 = 0.\nAnswer: -5884, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + l**2 + 12. Let h be a(0). What is the remainder when (-4)\/h - ((-170)\/6 + 1) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 176659.0537 to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*r + 9*r + 14*r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-30))\/(-7 - 715\/(-99)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(-5) + 5 + 0. Suppose n*x - 3*x - 30 = 0. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v + 49*v - 222 = 0. Suppose 5*r + 124 = 2*j, -2*j + 110 = 2*r - 0*r. Calculate the highest common divisor of j and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -61 and -0.50935.\nAnswer: -61.50935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2092 = 100*m + 8 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -101148, -158, 1 in ascending order.\nAnswer: -101148, -158, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of y**3 - 4*y**3 + 16*y - 25*y**3 + 0*y**3 wrt y.\nAnswer: -168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/9852 and 1\/18085809?\nAnswer: 72343236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 6252.0137 to 0 dps.\nAnswer: 6252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 17. Let x = -11.2 + 11. What is the closest to -1 in x, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7d527 - -bdb?\nAnswer: -7c72a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.88281 to one dp.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7876318.\nAnswer: 2, 727, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -m**2*p - 2*m**2 - 41*m*p + 2*m + 8*p + 27 wrt m?\nAnswer: -2*m*p - 4*m - 41*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1339, 1387, 1459, 1555, 1675, 1819?\nAnswer: 1987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10942 and -24.018?\nAnswer: 10917.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*y + 27*y + 270 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 86304.945?\nAnswer: -86308.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 235716?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.15? (a) -3 (b) 5 (c) 3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 - 556 - c**3 + 561 + 5*c**3.\nAnswer: 2*c**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -20770 rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -1)\/((-4)\/(-478)). Let x = 244 - 192. Let y = x + t. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19423248 * 0.5.\nAnswer: 9711624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 68 = -2*g, g = -0*q + 2*q + 24. Calculate the remainder when g is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30\/5 - -177 - (-3 - -3) is divided by 63.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*o + 1 - 78. Suppose -l = 5*f - 5 - o, -3 = -5*f - 4*l. Solve 2*v - 6 = -2*v - 2*a, -f*v + 4*a - 1 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0379 in -0.094, 1, -1\/2?\nAnswer: -0.094","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 921604513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - -36)*(-8)\/20?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*((-12)\/(-5))\/(-4). Let h = 13 + -10. Suppose -2*s - 5 = h*s. What is the closest to 1 in n, 0.3, s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1162\/(-2418) + 4\/6. Let d = -1\/31 + z. Let f = 4 + -5. Which is smaller: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*u - 3*b + 4*b, 3*u - 5*b = -12. Let r be u + (30\/(-2) - 3). Let m = r - -25. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**4\/20 + 113*q**3\/15 - 141*q**2\/2 + 1071*q\/5 + 2964. Factor p(h).\nAnswer: (h - 3)**2*(h + 119)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/110 and -19\/118954.\nAnswer: 594770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 8*f**5 - 3538*f**4 - 24204*f**3 - 18992*f**2 + 60196*f - 13470 = 0?\nAnswer: -5, -3, 1\/4, 1, 449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1594620 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -66400.68086 rounded to the nearest one thousand?\nAnswer: -66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/2))**(1\/44)\/(p**0)**(6\/5))\/(((p**(2\/7)\/p*p)\/p)**(3\/14))**(-37) assuming p is positive.\nAnswer: p**(-24469\/4312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6131721788 - 6131721788 - 29*f + 219*f.\nAnswer: 190*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((1 + 0 + sqrt(1872) - (-1*sqrt(1872) + sqrt(1872) + 5)) + 6*sqrt(1872)*2 + 4*1*sqrt(1872)))**2 + 3.\nAnswer: -1632*sqrt(13) + 541027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -9*l**3 - 4*l**2. Let s(z) = -z**3 - z**2 - 1. Let o = 854 + -855. Determine o*k(j) + 4*s(j).\nAnswer: 5*j**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, -33, -0.02, -617.4?\nAnswer: -617.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9556?\nAnswer: 2, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002929 to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 + 13 = 8*h. Suppose 0 = -w - 3*g + 32, -15*g - 104 = -5*w - 16*g. Calculate the smallest common multiple of h and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*c - 8 = 13, 5*c = z - 33. Suppose 7*u = -335 + 1154. Calculate the greatest common factor of u and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 19*l - 5. Suppose 0 = 5*m - 3*g - 44, -3*m + 3*g + g + 33 = 0. Let h(j) = 9*j - 2. Let o(u) = m*h(u) - 3*p(u). What is the derivative of o(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((35\/7*24\/(-20))\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q**3 + 8*q**2 - 18*q - 3. Let u(w) = 14*w**3 - 23*w**2 + 52*w + 9. Let a(h) = -17*r(h) - 6*u(h). Calculate a(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/356072 and -73\/26516.\nAnswer: 2492504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 7:12 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 474 in ascending order.\nAnswer: -2, 1, 474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 8*o + 14*o + 6*o)*(-8*o**2 + 6 - 6).\nAnswer: -208*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9\/10 of a meter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 23 = 11. Let y = i - -21. Let h be (-4)\/(-10) + y\/(-100). Which is smaller: h or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 4790716?\nAnswer: -1\/684388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 397.7899 to zero decimal places.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 204*o**5 - o**2 - 624*o wrt o?\nAnswer: 12240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*f + 0*o + 4*o + 36 = -39*f, -32 - 13 = 5*o for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -25*p - 259. Let x be b(10). Let q = x - -2547\/5. Which is smaller: 5\/71 or q?\nAnswer: 5\/71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -4. Let n = -359 + 358.6. What is the second biggest value in n, d, -1\/8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 1750.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/4 - 77917*d\/2 + 623400.\nAnswer: -(d - 16)*(d + 155850)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + 10011011?\nAnswer: 10010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 209880 a multiple of 495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 20*l**2 - 21*l + 35. Let o be c(19). Put 1, -2, 6, o in increasing order.\nAnswer: o, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b*b*b*b**(-5\/4)*b*b*b)\/b*b)\/b*b**(4\/15))\/(b*b*(b**(2\/3)\/b)\/b*b*b*b**2*b))**25 assuming b is positive.\nAnswer: b**(-65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 + 153*v + 12. Let l be s(0). Solve 0 = 4*u - 2*z + l, 7*u + 2*z - 4 = 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8*v - 2. Let l(n) be the first derivative of -7*n**2\/2 + 2*n - 5281. Give 6*a(g) + 7*l(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 0.7. Which is the biggest value? (a) m (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)\/(l*(l**(1\/5)\/l)\/l))**(19\/4) assuming l is positive.\nAnswer: l**(-247\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**2\/9 - 8*j\/9 - 14\/3 = 0.\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1399650 and -133\/186.\nAnswer: 1399650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3.1. Let y = -0.04 - h. Let g = y + 0.032. What is g rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1432 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*n - 31*n + 14134 = -1266 for n.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 7 + 425922*w - 425924*w + 2980*w**2.\nAnswer: 2980*w**2 - 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 - -53. Suppose 5*g - 56 = -2*z, -5*z = -5*g + g - l. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 - 148467170*p**2 - p**3 + 148467170*p**2.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3922994647 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/8 of a week?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 3*a - 15042, 6*a - a - 4*d - 25094 = 0. List the prime factors of a.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*c - 8*c + 8, -15 = -3*r - 3*c. Suppose 4*w = -3 + 15. Let o = w - 6. Sort r, o, 4.\nAnswer: o, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 8*a**2 + 9. Let i(j) = 3*j**3 - 23*j**2 - 26. Give 17*h(g) + 6*i(g).\nAnswer: g**3 - 2*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-555)\/(-5)*1\/3. Suppose 0 = z - 6 - i. Calculate the remainder when z is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**7\/315 - m**5\/45 + m**3\/9 + 2*m**2 + 3. Let o(p) be the second derivative of i(p). Solve o(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*j + 43*j + 29*j + 97*j**2 wrt j?\nAnswer: 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*g - 162*g = 0. Suppose -11*b + 3*b + 80 = g. What is the greatest common factor of b and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-96)\/(-440) + (-168)\/(-105). Sort k, -4, 4, -0.02 in decreasing order.\nAnswer: 4, k, -0.02, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 4:48 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 0, 3 in ascending order.\nAnswer: -5, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*d - 3724 - 2631 = 0, 3*j + d - 3815 = 0. Let x = j - 748. Is ((-20)\/16)\/(-5)*x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 0.1. Let d = -3 - 4. Let r be 3 - (1 + d\/(-3)). Which is the biggest value? (a) x (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w - 15*w + 26*w = 3*n - 16, 4*n - 6*w = 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 5*b**2 - 5*b. Let u be q(-4). Suppose 12 = u*t - 0*t. Let g(c) = 2*c**3 + 5*c**2 - 3*c - 2. What are the prime factors of g(t)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-1) + (8 - 2). Let t = 9 - g. Suppose -2*i = -t*i + 32. Calculate the greatest common divisor of i and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*s + 8*s, 2*q - 4 = s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3568 is divided by 508.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13291553.\nAnswer: 11, 47, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 7:09 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, w: 3, k: 2, f: 1}. Give prob of picking 1 t, 1 f, and 2 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5247 (b) 5 (c) 518\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p**3 - 2*p**2 - 12. Let l(h) = -5*h**3 - 2*h**2 - 13. Determine 5*l(a) - 4*w(a).\nAnswer: -5*a**3 - 2*a**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(4\/9)\/r))\/r)\/(r**(-13)\/r) assuming r is positive.\nAnswer: r**(131\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 - -73. What is the remainder when m is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 2*w - w)*(3 - 4 + 3) - 3*w + 2 - 2 + (1 - 4 + 1)*(w - 2*w + 2*w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84\/679457 + -420736758809\/16306968. Let y = w + 25806. Find the common denominator of -11\/432 and y.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -l - 15. Let t = l - -134. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 31*x + 140. Let s be i(-35). Let p be (s - 5\/10)*12\/2. Which is the smallest value? (a) p (b) 0.4 (c) 14 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132 - 138) + (16 - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*b + 131*b + 86*b = 14508. What is the remainder when 259 is divided by b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-3)\/(12\/(-4)) + -1. What is the tens digit of ((-2)\/(-6))\/(((-5)\/(-3795))\/i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 139716 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**6\/6 - 6*d**5\/5 + 3*d**4 - 10*d**3\/3 + 3*d**2\/2 - 1. Determine j so that b(j) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 42*f**3 - f + 24 + 2*f**3 - 8 + 2*f**4 in the form m*f**3 + r*f**2 + w*f + s + d*f**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -129400 divided by 10\nAnswer: -12940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**4\/24 - 2*s**3\/3 + 92*s**2. Let w(u) = u**2 + 4*u - 21. Let p(j) = 5*o(j) - w(j). Determine p(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*z + 3*k - 13 = 0, -2*z + 2*k - 2 = 0. Suppose 24 = -z*g + 10*g. Solve 4 = 2*b + 2*v, 4*b - 6 = -g*v + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22174800 and 20400.\nAnswer: 22174800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + l = -58, 5*g - 3*l - 64 = 5. Suppose -3*n + g = 2*x - 8, -2*n - 6 = 0. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -383.57 to zero dps.\nAnswer: -384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6286 is divided by 131.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -6*y. Let d(w) = w + 8 - 8 + 0*w. Calculate h(d(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*k + 18*k + 19*k - 16)*(k + 5*k - k).\nAnswer: 10*k**2 - 80*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3298269.\nAnswer: 3, 13, 23, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 64, 98, 138, 184?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -211 + 211. Suppose m = 73*i - 68*i - 1465. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445561932 - 353*y + 445561932.\nAnswer: -353*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 6:04 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 4125?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 143, 289, 483, 719, 991?\nAnswer: 1293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 12*c**2 + 10*c - 7. Let y be t(-11). Suppose 3 = 4*j + 3*a, -y*j + 7*a - 2*a = -27. Solve 3 = -j*v - 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36376 - -61399. Suppose 8*f + 11*f = h. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17026, 17319, 17590, 17839, 18066, 18271?\n\"Answer: -11*r**2 + 326*r + 16711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 236360 (base 8) to base 7.\nAnswer: 455356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4*(sqrt(33) - (sqrt(363) - (sqrt(363)*2 - sqrt(363)))\/sqrt(11)))\/(sqrt(147)*2 + 5*sqrt(48))*6)**2.\nAnswer: 57024\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -v + 28, -2*v - 18*c - 14 = -14*c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 113*h - 285 + 1189 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1055671 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 66618069719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyhhyhh. Give prob of sequence yhh.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 3:06 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, -156, -428, -698, -966?\nAnswer: -1232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2637 + 7851 = 0. Let j = b + 52359\/10. Find the common denominator of -17\/4 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6676 and 318.\nAnswer: 1061484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02569 to 3 decimal places.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 10*f + 3. Let x be l(10). Solve -4*v = -7*v + x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3956947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*w**2 - w**3 - 1 + 153*w**2 + 105*w**2 + 94*w**2 to the form j + f*w + x*w**3 + m*w**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(2*v + 3*v - 4*v) + 0 - 4*v + 2 + 0 + (-32 + 18 + 106)*(-3*v + 0*v + 8*v) + (0 + 0 - v)*(-1 + 2 - 2).\nAnswer: 456*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 43*g + 32. Let n(b) = b - 1. Let k(w) = l(w) + 4*n(w). Differentiate k(u) wrt u.\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2355 + (-7)\/(84\/(-132))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = r + 9*r. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**3. Let m be 12\/36*(-1 - (1 + 1)). Let r be s(m). Suppose 47 = o + 32. Calculate the greatest common divisor of o and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -572984, -572992, -573012, -573050, -573112, -573204, -573332, -573502?\nAnswer: -573720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-82 - 26 + 334)*(-2 - 2 + 2)*(3*d + d - 3*d)*(0 - 1 + 3) as g + v*d and give v.\nAnswer: -904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-685)*(-445)\/(-7) - (-124)\/(-217). Is 2\/137 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**3 - 59*v**2 - 60*v - 1. Let o be b(-1). Sort -26, -8, 14, o.\nAnswer: -26, -8, o, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*k**3 - 82*k**3 + 134*k**3.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 178843116 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2143, -5, -14, 4 in increasing order.\nAnswer: -2143, -14, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - (5\/(-1) + -1). Suppose 155 = 5*o + 2*n, -h*o + 0*n + 62 = n. Let x = o + 7. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94 - 103.4. Let a = 9 + g. What is the closest to 1 in a, 5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*y**2 + 61 - 101 + 40 + 100*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -0.1 (c) -0.5 (d) 14 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 510 a factor of 3948972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -32 - 2 + 4 - 5*d. Calculate u(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(1\/4))\/(u**(-1)\/u))\/((u*u**1)\/u**(-2\/5)) assuming u is positive.\nAnswer: u**(7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.8792 - -0.0708. Put 0.2, c, 0.5 in ascending order.\nAnswer: 0.2, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-6*(-5 + 2*(-4*sqrt(272)*-1 + (sqrt(272) + 0)*2))**2 + 1.\nAnswer: -17280*sqrt(17) + 1410949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 9:34 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (5 - -3 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 461 in -3, -0.2, -73, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 112, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*sqrt(78))\/sqrt(6) - ((sqrt(65)\/(2*sqrt(5)) - sqrt(13)) + sqrt(13) + sqrt(13))).\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, v: 6, z: 7}. What is prob of picking 2 m?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 8 = -3. Suppose -3 = -c + g. Which is smaller: c or 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/8 - 3097*h\/4 + 4261875\/8.\nAnswer: -(h - 625)*(h + 6819)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31\/60 + 11\/15. Let t = -91 + 22. Let x = -73 - t. Which is the second smallest value? (a) x (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n**2. Let l be ((-18)\/(-4) - 2)*2. Let u(w) be the first derivative of 1 + 0*w**2 - 4\/3*w**3 + 0*w. Determine l*h(o) - 6*u(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3151 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4492541 to the nearest integer?\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.09 > -311056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8580 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/(-20))\/((88\/22)\/(-20)))\/3*12?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -34 + -3?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -0.3, -11.\nAnswer: -11, -5, -2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/5 - (-31525634)\/(-10). Let b = -2224169 - h. Let c = b + -1368394. Round c to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/18 and 29\/498.\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 3:56 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 147\/(-27)*-1.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-25)\/20)\/((-3)\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1180.798 to zero decimal places.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -73, -70, -53, -16, 47, 142?\n\"Answer: z**3 + z**2 - 7*z - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -443 + 446. Factor -1\/4*t**k + 0*t**2 + 0 + 1\/4*t.\nAnswer: -t*(t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*l + 38*l + 312 = 0. Solve l = j + 54 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = -19*h + 8. Put -11, -3, h, 1 in descending order.\nAnswer: h, 1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 18 = 4*q, -4*o = -2*q - q - 19 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 10*s + 144 = 0. What is the lowest common multiple of s and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -9, -19, -35, -57?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*q - 8*q - q)*(-6*q**4 + 10*q**4 + 5*q**4) + 0*q**5 + 11*q**5 + 7*q**5.\nAnswer: 99*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076427067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36422474?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3765095 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20245225 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (0 + sqrt(68)*1 - (sqrt(68) + (sqrt(68) + 1 + 4 - sqrt(68)))))**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3101 - 102676.\nAnswer: -105777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 133918279 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/5120864 and -53\/352.\nAnswer: 56329504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2468\/6 - (-13)\/(273\/14). Let x(r) = -q + 412 - 4*r**3 - r**3. Let j be (1\/(-2))\/(2\/4). What is x(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 464 = 444. What is the first derivative of -48 + f - 30 - 18*f**o - f wrt f?\nAnswer: -72*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -717715 + -9282285. Round l to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1302\/62*2\/(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b = -2*h + 98 - 85, -9 = 5*b - 4*h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m. Calculate q(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104 and 546.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1014608943 to the nearest integer?\nAnswer: 31853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 444 = -4*o - 0*o, -o = -2*h + 291. What is the greatest common factor of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 19*u + 1199. Let l be m(-63). Solve -l*q = 27*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 2)*(-1 + 0 - 1)*(18 - 2*w + w - 25) in the form c*w + d and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 552 by -24.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 975.203876 rounded to 1 dp?\nAnswer: 975.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3093803778477 + -0.02.\nAnswer: -0.3293803778477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -171*f*g**2 + 187*f*g + 3*g**2 - 266963 with respect to f.\nAnswer: -171*g**2 + 187*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24613 and 4564.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.1 (b) -1\/2 (c) -1\/3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 166690*a**3 + 2*a**2 + 2*a - 3248529.\nAnswer: 500070*a**2 + 4*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -60*t**2 - 5*t + 3. Let w(x) = 30*x**2 + 2*x - 2. Let c(l) = -2*d(l) - 5*w(l). Find the first derivative of c(z) wrt z.\nAnswer: -60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4*((sqrt(891) - (sqrt(891) + -1))*-4 + 0))**2.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s + 9*s + 0*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 573295929 a multiple of 4229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -53*r**4 + 10*r + 0 - 2*r**3 + 52*r**4 + 0. Find the second derivative of g(f) wrt f.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 20. Let a(m) = 8*m - 2. Let g be a(q). Let b = -29 + g. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -554603420 - -3?\nAnswer: -554603414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000557188171 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1614161983.\nAnswer: 7, 230594569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*q - 8*q + 30, 12 = d + 4*q. Let n(l) = l**3 + 41*l**2 - 338*l - 94. Let h be n(-48). Solve -h*p - d*p = -6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 0.02 (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (-1 + 2)) + (-3 - (24 + -33))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o - 3. Let s be y(-9). Suppose 51 = q - 2*g, 3*g - s = -3. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 264962 + -143059. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 2*h, -25*w - 5*h = -26*w - 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61923, 123851, 185779, 247707?\nAnswer: 309635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116635 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + -43. Let u = b - -7. Let -2\/3*v**2 + 2*v**5 + 0 + 2\/3*v**4 + 0*v - u*v**3 = 0. Calculate v.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*b - 3 = -53*b. Let r be (b\/(-2))\/(18\/(-60)) + 0. Suppose r*h + 30 = -5*x, -2*x - 14 = -2*h + 6*h. Sort -2, 4, h, 5 in ascending order.\nAnswer: -2, h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 1630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2773056 divided by 21008.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.768 + -0.168. Let p = -6.69 + 6.49. Which is the fourth smallest value? (a) y (b) p (c) -4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/4270 and 31\/308904?\nAnswer: 10811640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s**2 - s**3 - 5*s**2 + 4*s**2 + 18*s**3. Let c(f) = -42*f**3 + 12*f**2. Suppose -143 = -8*i - 47. What is i*u(x) + 5*c(x)?\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -62988390 divided by -5765?\nAnswer: 10926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000618572 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 638642082 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 14*h**2 + 23*h**3 - 22*h**3 - 22 - 2*h - 15*h. Let p be u(-15). Solve 4*b = -j + p, 4*b + 4*j - 8 = -0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((14\/(-156))\/(-7))\/((-28)\/(-8)*188\/1974)\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 31 - 8c?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -8. Suppose -4*s = -c - 7*s + 6, 4*c - 2*s + 18 = 0. Let a be -2*(-4)\/(-6)*c. Solve 4*u + k = a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16\/39 (b) 5.758 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3\/7 - 240*m**2\/7 - 702*m\/7 = 0. What is m?\nAnswer: -117, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154183 + 3*j - 154183.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 115 by 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.618980413 rounded to two dps?\nAnswer: -1.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.068 (b) 2\/7 (c) -2\/3 (d) -0.09 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**4\/4 - 2*z**3\/3 + 13*z**2\/2 - z - 45. What is the derivative of o(d) wrt d?\nAnswer: -6*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -59061, -118128, -177195?\n\"Answer: -59067*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4252.56492 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213 = -5*z + 153. List the prime factors of 2\/(-12) - 2294\/z.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96 + -32. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - 3\/1)\/1. Suppose -1 = 4*u - 3*v - 0, 0 = -4*u + y*v + 2. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 + 1028*q - 132098.\nAnswer: -2*(q - 257)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**3 - 3*u**3 + 5*u**3)*(-2*u + 4*u - 4*u) - 4*u**4 - u**4 - 2*u**4 + (u - 4*u + u)*(5*u**3 - 4*u**3 - 3*u**3) - 4*u**4 + u**4 + 5*u**4.\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 931*a + 298871. Give b(-321).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*j - 21 - 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4d3 - -6e?\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*t - 23 + 63. Let l be (115\/(-10))\/((-1)\/(-2)). Let y = l + 28. Solve -y*a = t*p + 2, a = -2*a - 3*p - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**0)**(-3\/34)*(y**(2\/3)\/y)\/(y\/(y**(-6)*y)))\/((y*y**(2\/7)*y)**(1\/24)\/(y**(1\/4)\/(y\/y**(-1)))) assuming y is positive.\nAnswer: y**(-3935\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 - 13 = 13*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -3) + 0 - 5 - -9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3008.283 centuries?\nAnswer: 300828.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 25 = -0*u - 3*u, -5*y + 2*u = -25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -209*x**3 - 31*x**2 - 24*x + 7. Calculate l(-1).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8\/15 of a minute?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.04 (b) -3 (c) 519115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 80*l + 2513. Determine k(-34).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-3 - (-5 + 6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296902 is divided by 59378?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*m + 4080 = 0, 2*s + m - 326 + 3061 = 0. Let b = 3952 + s. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-9)*4*54\/(-288)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 558555484.\nAnswer: 2, 139638871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6228 and 3071442.\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41\/2 - -20. Let s(v) = -v**2 + 2*v. Let k be s(2). Is l <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10 - 11 - 5\/(5\/(-2)). What is the lowest common multiple of ((-24)\/20)\/((-9)\/660*p) and 72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 3*b - b)*(-1 + 1 - 1)*(-2 + 6 - 5).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0. Suppose i*b = -2*o - 5*b - 10, b + 2 = 0. Suppose -u + 2 = -o*u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5157\/(-1146)*((-24)\/9)\/1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -4*c + 24. Suppose 3*x - 2 = 2*j, -5*x + j + 9 + c = 0. Solve x*w = 8 - 20 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 33 + 15)*(2 - 5 + 2 - 2*i + (2*i + 0*i + 0*i)*(0 - 2 + 0) + 3*i - 4*i + 0*i - 2*i + 3 - 3 - 5*i - 5*i + 7*i).\nAnswer: -744*i - 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (6 - ((-10 - -5) + 9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 189741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/408*-34*(-11)\/(-4). Solve -10*n + 3 = -a*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {s: 2, i: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/424474 and 67\/6?\nAnswer: 1273422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 320922 and 4813830?\nAnswer: 4813830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-10493.\nAnswer: -20986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 + -70. Solve 3*t + o = -2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -164\/237 + 2\/79. Let l = -2291.3 + 2291.8. Let u be 45\/18*4\/5. What is the nearest to u in f, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6*q - 620 = -4*j, -2*j = -4*q - 314. Solve 27 = 162*d - j*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2455070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23298739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r - 5*v + 187 = 0, 0 = 3*r + 2*v - 561. What is the highest common factor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/((-3)\/(105\/(-2))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7001.485 millilitres in litres?\nAnswer: 7.001485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4136827 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 3*f + 2 - 1 = 0, -39*f + 43 = 29*r - 44*f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 26, 56 in descending order.\nAnswer: 56, 26, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -2\/41 (c) -103736\/17 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 - 36*o + 64. Let b be u(16). Solve -23*y + 13 - 105 = b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38545427?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1051821, 2103642, 3155465, 4207290, 5259117, 6310946?\nAnswer: 7362777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2 - (230\/20 - 11). Let x(q) be the second derivative of 0*q**3 - 4*q + 0*q**2 + s - 1\/12*q**4. Let v(w) = -2*w**2. Calculate v(x(j)).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 3. Let s be h(0). Suppose -2*m - s*m + 10 = 0. Suppose l = v - 5, m*l = 5*l - 2*v + 10. Which is smaller: -4\/7 or l?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15011313 (base 6) in base 12?\nAnswer: -209b39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(3 - 1)*1. Sort 4, k, 0, 5.\nAnswer: 0, k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 6*x - 7*x - 7*x**2.\nAnswer: -5*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 + 4 - 14) + -10 + 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/15, 4, -0.5, 0.03?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-28)\/(-8))\/(-1))\/((-147)\/(-14) - 11). Solve 3*u + 4*c = 9, 9 = -4*u + s*u + 3*c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4)*g*g**2)\/(g**(-2\/17)*g**(2\/11)) assuming g is positive.\nAnswer: g**(2009\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 33062*n. Let q(h) = -h. Give q(y(x)).\nAnswer: -33062*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 198, 345, 632, 1107?\nAnswer: 1818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 2*v + 20, -15*v + 10*v = -n + 24 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/7 + (-52)\/(-14). Calculate the highest common divisor of h and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23820 - -10?\nAnswer: -23810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0050566 to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + -1*(sqrt(34)\/(4*sqrt(2)*-3))**2.\nAnswer: 271\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(128\/72))\/((-3)\/(-12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 193, 0, 386, 12 in descending order.\nAnswer: 386, 193, 12, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1.941298um?\nAnswer: 0.0001941298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -12*u. Let c(j) = 3*j. Let l(w) = -9*c(w) - 2*t(w). Let y(v) = -2*v - 6. Let x(s) = 6*s + 17. Let f(d) = 6*x(d) + 17*y(d). What is l(f(h))?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -5 (c) 3 (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*g - 54 = -2*v, -60 = -5*v - 5*g. Suppose 5*r = v + 6. Let s(q) = -4*q + 3. Give s(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.4 - -4.46. Let t = o + -0.06. Let l = -0.6 + -4.4. Which is the closest to t? (a) -4 (b) -5\/2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p + 99 = -21. Find the third derivative of w**p + 9*w**2 - 77*w**6 - 2*w**2 + 107*w**6 + 4*w wrt w.\nAnswer: 3600*w**3 + 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 403524 and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d58 + 1c?\nAnswer: 3d76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8656838 centuries in decades?\nAnswer: 8.656838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**3 - 7011*c**2 - 4092669*c + 4099683 = 0.\nAnswer: -1169, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 290 - 262. Let v be 30\/(-18)*33 + x. Are v and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.175 - -109.175. Let r = f - 121. Which is the second smallest value? (a) 1\/4 (b) -3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138, -277, -416?\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18, -2\/11, -782441?\nAnswer: -782441","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.03 (b) 6 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -368*g*k**3*s**2 + 3*g*s**2 - 2*g + 68*k**3*s**2 - k**3 - k**2*s**2 + s**2 wrt g.\nAnswer: -368*k**3*s**2 + 3*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 + 6*c**3 - 2*c**3 - c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 439767791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**2 - 4*r**2 - r**2 + (-4*r + 7 - 7)*(2*r + 3*r - 6*r)*(15 - 3 + 4).\nAnswer: 63*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j + 25. Let h be n(-8). Let y(k) = k**2 + 3*k - 2. Calculate the remainder when y(3) is divided by -7 + 9 - (-4)\/h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + -220?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 8)*((-1758)\/(-2051))\/(3\/35)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w*w*w*(w**(-11)*w)\/w*w)\/(w\/((w**(-3\/4)\/w)\/w*w)))\/(w**(1\/3))**(-28) assuming w is positive.\nAnswer: w**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1680, -1701, -1724, -1749, -1776, -1805, -1836?\nAnswer: -1869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -15 - 5\/2*a**2 - 5\/3*a**3 + 0*a. What is the second derivative of i(w) wrt w?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 68.1, -72, -2\/3, -2\/13, 1\/5 in decreasing order.\nAnswer: 68.1, 1\/5, 0, -2\/13, -2\/3, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3611?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -224.3205005 to 1 dp.\nAnswer: -224.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - 3469 + 3469.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nccccccnnvccnwvncv. What is prob of picking 3 v?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5\/4*s**2 - 3\/4*s + 1\/2 = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*k = -2*k. Calculate the common denominator of 17\/28 and 62\/(-8) + 1\/(2 + k).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 6*y - 0*y. Suppose y = a - 67 - 0. Let k = a + -62. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y**2 - 3*y + 3. Let w(v) = -16*v**2 + 8*v - 8. Suppose a - 176 + 193 = -5*j, j - 3*a - 3 = 0. What is j*w(u) - 8*z(u)?\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 34*y - 75 + 238 = 2*p, -4*p = 5*y - 41 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -3.93. Let p = u - -0.03. Let q = 0.03 - 2.03. Which is greater: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.06, 142\/37, 9\/7, 0.01, 5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/20)\/(-13*36\/(-468))?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 292.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/231 (b) 7\/8 (c) 3\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -862941.476 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**3 - 3*m**2 + 3*m + 3. Let h be ((-4)\/(-6))\/((-10)\/(-15)). Let o(f) = f**3 - f**2 + f + 1. Give h*v(q) - 3*o(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.083 + 0.117. Let k be (9\/8)\/((-2)\/8). Is k >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1779001988 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, p: 1, g: 6, k: 5, t: 1, j: 1}. Give prob of sequence gkg.\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (8 + (8 - -2) + -17 - -25)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7\/5 (b) -2\/41 (c) -1 (d) 763 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*o**2 - 50*o**2 + 3 - 3.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-12) + 4\/6. Suppose -i = g + 5, 5*g - 2*i + 21 = 10. Which is smaller: w or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 193520 and 106864?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2827*m - 18. Let x(t) = 2*t - 3. What is f(k) - 6*x(k)?\nAnswer: 2815*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4110226 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**2. Let h(l) = 852*l. Determine h(f(g)).\nAnswer: 3408*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -73 + 157?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 55\/(-6)*((-96)\/(-10) - (-70 + 78)). Let s = 1 - 0. Which is smaller: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 17*m = 0. Which is bigger: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*l = -48*l + 655. Let a = -53 - -57. Suppose -2*h - 68 = -4*g, -a*g - h + 5*h = -60. Calculate the remainder when l is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/5 (b) 1065 (c) 10.1 (d) 5 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.5773ug to tonnes.\nAnswer: 0.0000000000535773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5219126287?\nAnswer: 103, 947, 53507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17\/44, -5, 82457?\nAnswer: 17\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 167338643 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b**2 + 2*b - 5. Let r(a) = -5*a**2 + 3*a - 6. Calculate 2*r(h) - 3*v(h).\nAnswer: 8*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 405 and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/2 and -113\/16314.\nAnswer: 16314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/81383 and 4\/39.\nAnswer: 3173937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 16*s - 58. Let q be h(9). Find the third derivative of -4*z**q + 15*z**4 + 30*z**2 + 34*z**2 + 3*z**2 wrt z.\nAnswer: -240*z**2 + 360*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1112 + 1226.7. Let o = -109 + w. Round o to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/32 + (-365655)\/123168?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-5) - -4)\/(2\/15). What is the greatest common factor of 36 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5125 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 8*d**2. Let y(n) be the first derivative of -4*n**3\/3 + 66. Give y(r(a)).\nAnswer: -256*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 47*j**8\/28 + 13*j**4\/3 + 121*j. What is the third derivative of t(h) wrt h?\nAnswer: 11280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**4*p**3 + 6*b**4*p**2 + b**2*p**3 - 2*b**2 - 56*b wrt b?\nAnswer: -24*b*p**3 + 144*b*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6555565*s**3 + 561*s**2 - 31*s - 2.\nAnswer: -39333390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72 - 10*j**2 - 72 + 22*j wrt j.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4)\/(80\/(-96)) + 0 + 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1342 or -4?\nAnswer: -1342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b + 20*b = 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, e: 1, r: 7}. What is prob of sequence dd?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1114045 + 1?\nAnswer: -1114044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003182 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i - 15. Let u be q(7). Let m = 0 - 4. Let n be u - (108\/21)\/m. Is n less than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u - 28 = -4*b, 5*u - 4240 + 4220 = 0 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -81. What is the highest common factor of 95 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -847, -833, -819, -805, -791, -777?\n\"Answer: 14*p - 861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 7110.\nAnswer: 14220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -2*v**3\/3 - 2*v. Let h = 4 + -5. Give m(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -28. Suppose -l = 4*u + 3, -10 = u + 5*l + z. Solve -o - 5*n + 25 = u, -o + 7*n - 25 = 2*n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*d**5*q**3 + 16145*d**3*q**3 - 17*d**2*q**3 + d**2*q - 95*d**2 - 2*d*q**3 - 8 wrt d.\nAnswer: -1680*d**2*q**3 + 96870*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2487*i**2 + 2061*i**2 + 2467*i**2 + 2539*i**2 - 840*i**2 + 3294*i**2 + (-3 - 4 + 4)*(0*i**2 + 0*i**2 - 3*i**2).\nAnswer: 7043*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, 0.5, 3.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*(sqrt(1331) + (sqrt(1331)*-1 - sqrt(1331))*-2))**2 + 3.\nAnswer: -2661997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 6) to base 4.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, j: 2}. Give prob of picking 2 k and 2 j.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1377) + 0)*6 + (6*sqrt(136)*1)\/(sqrt(8) + -1*sqrt(1152)).\nAnswer: -2 + 588*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.032493 - -350.097507. What is p rounded to the nearest 10?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-4))\/(q**(2\/5)*q)*q**(-5\/3)*q*q**(9\/5) assuming q is positive.\nAnswer: q**(-49\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 2*f - 1. Let h be q(-3). Let d be (3 + -6 - -2) + 31\/1. Let o = 35 - d. Solve -5*i = -o, -5*k + 2*k + h*i = -4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1862602 - 1861967 = 127*x. Factor -4\/3*d**3 + 10\/3*d**4 + 0 + 0*d - 8\/3*d**2 - d**x.\nAnswer: -d**2*(d - 2)**2*(3*d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304205930 at most as big as 1304205929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81156 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*z = 196, 4*m + 0*m = -z + 253. Differentiate -h**2 - m - 29*h + 0*h**2 + 3*h**2 wrt h.\nAnswer: 4*h - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 - -56. Let n be ((-1)\/(-3))\/(380\/75 - 5). Sort s, 0.3, n, -3\/8 in decreasing order.\nAnswer: s, n, 0.3, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -0.125 (c) 4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 10*v**3 + v**2 - 2. Determine b(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2\/5 (b) -42\/120121 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -43, -84, -151, -250, -387, -568?\nAnswer: -799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 - 7. What is the smallest common multiple of 16 and h(3)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -101?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146, 141, 134, 125, 114, 101, 86?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3, -10, -21, -36, -55, -78, -105?\n\"Answer: -2*v**2 - v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wccchcwhwcww. What is prob of sequence wwhc?\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5562 + -27808\/5. What is the closest to t in 9, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -876942 - 0.2\nAnswer: -876942.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 4 + -3 + 10 + -9. Suppose -3*w + o + 0*o = -1466, x*o = 3*w - 1462. What are the prime factors of w?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/7*(-8 + 1). Is i\/(-18) + (-80)\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100 + 80. Let m be -2*3\/111 + 0\/h. Put 5, -1, 3\/8, m in descending order.\nAnswer: 5, 3\/8, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -810? (a) -2\/21 (b) -1\/4 (c) 5 (d) 2 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y - 2*y - 5*y + 3*y + 0*y. Let b(f) = -14*f**2 + 0*f + 0*f. Calculate v(b(c)).\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -599 + -3?\nAnswer: -602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r + r**2 + 3*r)*(3*r - 4*r + 0*r + (-3 + 5 + 1)*(-2*r + r + 3*r))*(-6 + 0 - 2) to the form h*r + n*r**3 + w*r**2 + k and give n.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + o + 1 = 0, 3*o + 5 = -g - 8. Let b = -580 - -7538\/13. Sort b, -0.6, g in ascending order.\nAnswer: g, -0.6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-18) - 5043\/(-27). Let r = -298 + t. Let d = r - -188. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -817, 348, 2281, 4982, 8451, 12688?\nAnswer: 17693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 117*n + 7*n - 439 = -70*n + 1501 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 97520 and 1719480?\nAnswer: 182264880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 11 = v + 1, x = v - 18. Let n be (v\/(-8) + 4)*2. Suppose 0 = 4*o - 2*o - 4. Which is the biggest value? (a) o (b) n (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85.8213246 + -85.82. What is k rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 28*g**2 + 6*g + 17. Let a be h(-3). Let v = a + -144. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -200 - a?\nAnswer: -20a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*b**4 + 6*b**4 - 12*b**4 + (2572*b**3 + 512*b**3 + 359*b**3)*(3 - 3 + b) as p*b + c*b**2 + j*b**4 + a + q*b**3 and give j.\nAnswer: 3414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b. Let q be 1 + (2 - 6) + 5. Determine f(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v\/(v**(-3\/5)\/v))*v)\/(v**(-18\/7)*v))**(-1\/11) assuming v is positive.\nAnswer: v**(-34\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.064 (b) 3 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -10413 to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -428341\/9075 + 1\/9075. Suppose -3*f + 71 - 212 = 0. Let g = p - f. Are 0 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 3. Let l be g(-1). Suppose 76 + l = 5*b. Solve -4*x + 2*x = 5*d + 8, 0 = 2*d - 4*x - b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 8*c**2 - 1. Let t be -2 + 1\/(2\/6). Let f = 3 + t. Is p(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -881 + 925. Let t = 11 + -7. Calculate the greatest common factor of x and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2114*y - 86. Let n(t) = -4228*t - 158. Determine -11*g(w) + 6*n(w).\nAnswer: -2114*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9296\/5 - 1859. Let h be (1 - 4)\/((-27)\/2). What is the closest to h in 2, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 + 0)*(5 - 5 - 3*n) - 2 - 2*n + 2 + 6 - n - 6)*(-5*n**2 + 5*n**2 - 4*n**4).\nAnswer: 36*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - v = -21, 6 = 4*s - 2*v - 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 5*i - 110 = 0, 79499*w - i = 79491*w + 149 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4597905*b**2*f**3*w - b**2*f + 28*b**2 - 2*f**3 + 366*f**2 wrt w?\nAnswer: 4597905*b**2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 11 + 27)*(6 - 4*z + 7*z - 5) as i*z + u and give u.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1204835043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -924*j + 892*j + 4992 = 0. What is the highest common divisor of 66 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 6 + (-1 - -2) + -15 + 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 302893563, 302893562, 302893561?\n\"Answer: -r + 302893564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 10*d = 55 - 60, -j = -2*d - 0*d + 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 13*f**2 - 51*f + 59. Let w be x(5). What is the greatest common divisor of 72 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-10)*(-16)\/20*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13081059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 3\/13, -2, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u - 9. Let r be a(3). Let c(t) = 7*t**2 + 5*t + 3. Let f be c(3). Calculate the greatest common factor of f and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*40\/(-16)*(-242)\/330.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.91698l in millilitres?\nAnswer: 98916.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.746805 rounded to 0 decimal places?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4123425841 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 62\/(-4)*(-1 - 1). Suppose -d*j + 24*j = -189. Let g be (-4)\/6 - (-110)\/3. Calculate the greatest common divisor of j and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11.3 or -0.027336?\nAnswer: -0.027336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49713550.\nAnswer: 2, 5, 994271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, b: 1, c: 1, z: 2, a: 3}. What is prob of sequence aa?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-27) + (-28)\/126.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-27)\/(-72) - 1493\/(-8). Let y(p) = -96 + f - 88 - 2*p. Let b(w) = 2*w**2. Give b(y(m)).\nAnswer: 8*m**2 - 24*m + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47688.4 - 522.7. Let q = 48211.360009 + w. Let o = q + -0.26. What is o rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(57)\/sqrt(3))**2) + sqrt(19) + 2)*-3.\nAnswer: -6*sqrt(19) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((((-4)\/26)\/((525\/(-273))\/(-25)))\/2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2)**(-1\/45))**(-34) assuming z is positive.\nAnswer: z**(68\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 3:56 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89 + -95. Let m be (3\/10)\/(s\/(-10)). Which is the second smallest value? (a) 1 (b) m (c) -17\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -39 (b) 60\/17 (c) 91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -348*g + 341*g + 284*g + 347*g + 667*g**3 wrt g?\nAnswer: 4002*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 46.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*z**2 - 3*z**3 + 1284 - 1284)*(1 - 1 + 2) in the form p*z**3 + k*z + r + q*z**2 and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21803357 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(30) + (sqrt(30) - sqrt(180)\/(sqrt(6) - ((sqrt(294) - sqrt(6)) + sqrt(6)))))\/(sqrt(240)\/sqrt(10))*-2*-6.\nAnswer: -65*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 21*d. Let p(o) = -21*o. Let t(h) = 6*p(h) + 7*q(h). Let r = 375 - 375. Let l(n) = 5*n**2 - 7*n**2 + r*n**2 + 3*n**2. What is l(t(c))?\nAnswer: 441*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2025 is divided by 672.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -211\/14820 and -3\/884.\nAnswer: 251940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1, 0.3, -49?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 219439461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 5. Suppose 5*q + h + 4*h = 0, 0 = -5*q + h. Let a = q - -3. Suppose 5*x = 2*z - 36, -a = -x - x - 5*z. Calculate y(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1446859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95\/10 - (-3)\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i**3 - 2*i)*(2*i - 2*i + 4*i + 3*i - 2*i - 3*i + 2 - 2 + 2*i + (0 + 2*i + 0)*(1 + 1 - 1)).\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*q**2 - 1122*q - 15 = 0.\nAnswer: -1\/75, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 47173 + 22*g + 25*g - 47169. Let y(k) = -24*k - 2. Give 6*u(v) + 11*y(v).\nAnswer: 18*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 2*j**7\/3 + 752*j**6\/15 + 999*j**5 - 486*j**4 - 38*j - 2. Let b(z) = 0. Calculate z.\nAnswer: -27, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 8 + 1)*(-1 + 0 + 3) - 1 + 4 - 2)*(-2*i + 2*i - i)*((0 + 0 + 2)*(2 - 2 - 1) + 10 + 5 - 3)*(-i + 4*i - i) as c + m*i + z*i**2 and give z.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(5) + (sqrt(5) - sqrt(320))) + -2 + sqrt(7) + -4 - (sqrt(448)*1 + -5 + 3))**2.\nAnswer: 172*sqrt(7)\/3 + 13519\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -2, 3, 0.3, -1\/27416?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -9*g + 2*g**4 - 9 - 257\/6*g**3 + 0*g**2. What is the second derivative of l(q) wrt q?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14809 (b) 5 (c) -0.2 (d) -0.5 (e) 2 (f) 10 (g) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 9*h**2 + 9*h - 5. Let m be y(8). Let r = 4 - 2. Let p = -8153 + 8150. Sort r, m, 5, p.\nAnswer: p, r, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3 + 2 - 4 + 0*v - v. Let b = 5 + -1. Suppose 0 = -b*q + 3*q. Give s(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -39 + 30 + 422\/47. Let u = 22 + -17. Which is the biggest value? (a) w (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(152)*2*-5 + sqrt(152)))\/(sqrt(80)\/(sqrt(50)\/(sqrt(45) + sqrt(5)))).\nAnswer: -9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m + 8*m - 6*m)*(-7*m**2 - 25 + 25)*(-5*m + m + 3*m) to t*m**2 + p*m + z + j*m**4 + d*m**3 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -16*g - 1. Let d(x) = 3*x. Let m(v) = -12*v + 14. Let a be m(1). Let r = 22 - 11. What is a*c(k) + r*d(k)?\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1038 + 667. Let q = c - -366. Put q, -0.45, 5\/4 in descending order.\nAnswer: 5\/4, -0.45, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 167 - 461. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -790 - -790.4. What is the third biggest value in 0.2, -0.3, i, 6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**3 - y**4 - 5*y**3)*(-14 - 2 + 129).\nAnswer: -113*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 3*o**2 - o - 1. Let u be x(-3). Suppose -16 = -u*g + 90. List the prime factors of g.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1110010000110111 (base 2) to base 12\nAnswer: -29987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27238616 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 10:34 PM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 3*v + 2*v**2 + 3*v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = 3*n. Suppose -n*i + 410 = -2*i - 2*l, -l = -5*i + 1017. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**8\/168 - 9*t**6\/20 + 247*t**5\/60 - 3*t**2 - 10*t. Find the third derivative of c(r) wrt r.\nAnswer: -120*r**2 - 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -391*h**5\/20 - 29*h**4\/3 - h**3\/6 + 87*h - 3. What is the third derivative of u(a) wrt a?\nAnswer: -2346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8)*348\/(-377)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*w - 6. Suppose 3*a + 5 = z + 14, 0 = -2*a + z + 6. Differentiate -v + 2*v + w - a*v wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78 - -95. Let a = -172.7 + x. What is the nearest to -0.2 in 3\/4, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 140 + 104 = 0. Suppose -y = -6*f + 35. Suppose -f + 0 = -5*a - 3*g, 0 = g - 2. Solve 2*x + 0*x = -a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 89*k + 36 + 192 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 934, -22, 3.\nAnswer: -50, -22, 3, 934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-13223364)\/(-1221) - (-2)\/37?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212 (base 5) to base 11.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 676 = -222*t - 116*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3 + 306 - (1 + 2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2835420?\nAnswer: 2, 3, 5, 7, 43, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4999173, 4999111, 4999049, 4998987, 4998925, 4998863?\n\"Answer: -62*u + 4999235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 7. Let r = s + -3. Find the third derivative of -j**3 + j**2 - 3*j**2 + r*j**3 wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*t + 192*t + 1998 = -52*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 300 - 250. Let n(y) = -9*y**3 - 2*y - 1. Let z be n(-1). Calculate the greatest common divisor of m and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -2*m - 4*l + 50, -3*m - l - 13 = 0. Let x be m\/(-4)*(-56)\/6. Is 11 a factor of 14 + x - -1*53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22)\/(-6) + (-10)\/(-30). Differentiate 0*a**2 + 0 + 2*a**2 + v wrt a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4744721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/7 + ((-180)\/(-28))\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3616534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103368 by -354.\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 679, 677, 675, 673, 671, 669?\n\"Answer: -2*b + 681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**7\/35 + v**4\/8 - 13*v**3\/2 + v**2 - 5. Differentiate c(a) wrt a.\nAnswer: -24*a**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, p: 2, m: 1}. What is prob of sequence mp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2346804 (base 9) in base 15?\nAnswer: -1a1a34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f*f**(-1)*f))\/(f**(-1\/3)\/f))\/((f\/f**(2\/9)*f)\/f*f**(2\/5)))\/(f**8\/f**(7\/5)*f\/((f*f**(-8))\/f)*f**2) assuming f is positive.\nAnswer: f**(-148\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -90, -94?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 + 61838*y**2 + 0*y**3 - y**3 - 30917*y**2 - 30865*y**2.\nAnswer: 3*y**3 + 56*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11990*g**4 - 7724*g**2 wrt g?\nAnswer: -287760*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 9:07 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 75327 - -5?\nAnswer: 75333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/18)\/((-10)\/(-12)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 363139.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 t when two letters picked without replacement from {t: 2, a: 2, j: 4, y: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -0.01609058?\nAnswer: -1.98390942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.5 (c) 4 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 99\/2 - 49. Let z(n) be the second derivative of 0 - n - g*n**3 - 3\/2*n**2. What is the derivative of z(u) wrt u?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 136\/160 + 4\/10?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 233*q + 44260. Calculate f(-190).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 656 by -164.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 10 = -503*i + 502*i, 8*a - 5*i + 15 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/((-53)\/(2067\/(-78)))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3 or 3067?\nAnswer: 3067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 1. Let a(b) = 7*b + 1. Let o(s) = -a(s) - 4*l(s). Calculate the remainder when 52 is divided by o(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 12, -71, 5 in decreasing order.\nAnswer: 12, 5, 4, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r - r + 7*r + 0 + 0 - r + (3*r + r - 2*r)*(3 + 4 - 5))*(5*r - 2*r + 5*r).\nAnswer: 40*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**4\/24 + 8*j**3\/3 - j**2. What is the remainder when v(-8) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13656cd (base 14) to base 10\nAnswer: 9388581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/16*(-9)\/((-324)\/(-80)))\/((-20480)\/(-6144))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2756.5277 to the nearest ten.\nAnswer: -2760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/213152 and 49\/80?\nAnswer: 1065760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 3*k**6\/10 + k**5\/20 - 19*k**4\/24 + k**3\/2 + 371*k**2. Find the second derivative of l(h) wrt h.\nAnswer: 216*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 13 = -3*j, 0 = 5*c - 3*j - 5 - 15 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-8)*(120\/28 - 4)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 608\/160 + ((-64)\/(-20))\/(-4). Let w(k) = 9*k**2 + k. Let f(h) = 8*h**2 + h. Give a*w(g) - 4*f(g).\nAnswer: -5*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 9987 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 2. Let w be y(2). Let g be w - (0 + 5\/(-3)). Suppose u - 7*u = 18. Which is the closest to 1? (a) u (b) -2\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18078 and 908354?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 (base 6) in base 8?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 3*l + 15430771*l**3 - 15432107*l**3.\nAnswer: -1336*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 1, 25 in increasing order.\nAnswer: -1, 1, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m + 18*m + r + 4 = 0, -5*r = -m + 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5343907?\nAnswer: 5343907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8*g**2 - 2*g + 5. Let k(z) = -23*z**2 + 6*z - 14. Let u = -20 - -29. Let c = 15 - u. What is c*k(w) + 17*b(w)?\nAnswer: -2*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 13 = -x - 0*x, -4*x - 2 = 2*s. Let d(u) = -2*u**2 + 29*u**3 - u - 2 - 31*u**s - 2*u - u. Suppose -j - 5*o = -13, -j - 1 = 3*o - 8. What is d(j)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -3778 (c) -1 (d) -3 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e4 + 9?\nAnswer: -da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - f = -689. Is -54 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23\/316 - -14\/79. Put 1\/6, 2, w, 5 in decreasing order.\nAnswer: 5, 2, w, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 37, -42, -173, -368, -639, -998?\nAnswer: -1457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 8:45 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**6\/960 + o**5\/160 + o**4\/12 + o**3\/4 - 74*o**2. Factor a(b).\nAnswer: -(b - 6)*(b + 1)*(b + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1394 and 4.\nAnswer: 2788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 806 <= 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by -4\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8*(33\/6 + -5). Suppose -2*x + x - 3*s = -4, -2*x + 2 = r*s. Suppose -3*h - 12 = 0, 320 = 5*w - 5*h - 0*h. Sort w, 4, x.\nAnswer: x, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h**2 - 7*h - 2. Suppose -6*v = -v. Let k(n) = -2*n + v*n - 2*n + 3*n - n**2. Give b(o) - 6*k(o).\nAnswer: o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1320 in -2\/3, -2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - y**2 + y - 2. Let f = -13 + 11. Let k be g(f). Suppose -x + 2*x - 36 = k. Calculate the highest common divisor of x and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75 + -160. Let c = a - -231. Let l = 1.1 + -0.4. What is the second smallest value in l, -1, c, 4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1743*x + 510*x - 629*x.\nAnswer: -1862*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or 2326?\nAnswer: 2326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2861568971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**2 - 17646*p - 70616 = 0. Calculate p.\nAnswer: -4, 8827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 156256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -5, 108 in ascending order.\nAnswer: -5, -1, 3, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z + 10 = 21*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 2. Suppose 3*x = -5*h - 22 - 0, 3*h = -3*x - 24. Let o = x + 14. What is m(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -37*b - 2. Let u(l) = -36*l - 1. Give 2*s(p) - 3*u(p).\nAnswer: 34*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**2 + 1. Let u(f) = -5*f**3 - 13 + 4*f**3 - 2*f + 0 - 7*f**2. Let o be u(-7). Calculate t(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, a: 1, n: 13}. What is prob of sequence ra?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-2)\/5*90. Suppose -4*q + 252 = s. Suppose 0 = c + 2*r + 8, 3*c + 13 = -13*r + 8*r. What is the remainder when q is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 15. Suppose -2*y + b = -q, -y - q = 3*q - 5. Suppose -y*a = -2*a + 7. Is 3\/47 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 284 + -287. What is the nearest to -1\/5 in m, -1.2, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 581.3564 nanograms?\nAnswer: 0.5813564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omm when three letters picked without replacement from moomzzmzmmnm.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c = 27*c + 88 - 48 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*n**5 - 36*n - 8*n - 12*n**5 + 4*n**4 + 5*n**5 wrt n?\nAnswer: -20*n**3 + 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q. Suppose c - 1 = -k, 3 = c + 2*k + 5. Let t be ((-2)\/(-3))\/((-20)\/(-150)). Let u(n) = 4 - t*n + 3*n - c. Calculate o(u(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + -12. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 11:42 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -24.1. Let l = a + -6. Let f = -2.1 + l. What is the biggest value in f, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.8 - 3.2. Let p = -3.5 + s. Which is the nearest to -1? (a) -2\/5 (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184920, -739681, -1664300, -2958789, -4623160, -6657425, -9061596?\nAnswer: -11835685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 986.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41*k**3 + 24*k**2 - 856 wrt k.\nAnswer: 123*k**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((c - 3*c + 3*c)*(-2 - 2 - 2) + 4*c - 4*c + 10*c)*(2 - 4 + 3)*(2 + 2 - 3)*(c + 3 - 4 - 2) in the form p*c + t*c**2 + o and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 31 = c. Let s = 74 - c. List the prime factors of s\/2*4\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -v**4 + 421 + 1373 + 194 + 2549*v**4 wrt v.\nAnswer: 10192*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (-1 - 20\/1 - -4). Let b = y - -24. Suppose 2*h = h + 7. Calculate the smallest common multiple of h and b.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 76*b + 312. Is 7 a factor of q(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11663, -93316, -314949, -746552, -1458115, -2519628?\n\"Answer: -11665*b**3 + 2*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 1270\/20 + 5\/(-10)*5 + 4?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c. Let j be ((-1)\/(-3))\/((-6)\/(-18)). What is the lowest common multiple of z(j) and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(sqrt(13) + 2)**2 + -3.\nAnswer: 4*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 250*x**3 + x**2 + x - 1. Let i be k(1). Let j = i - 488. Let h = j + 746. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) -26 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -3*d + 4, -2 + 4 = -2*l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-318) + 790594\/(-40174)?\nAnswer: -59\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46462 - 224968 = -10*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) 1 (c) 3\/5 (d) -24 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4566845195 and -0.1.\nAnswer: -4566845195.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 3:04 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.39 and -3.\nAnswer: -4.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.1, -2, 0.071847, -0.2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 178*b**3 - 3*b**2 - 3*b + 2. Let k(l) = -l**2. Let j(t) = -4*k(t) + x(t). Let h be j(1). Let f = h + -97. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-2)*r))\/r**(-4\/7))**14\/((r*(r*r**(-1\/5))\/r*r\/(r*r**(1\/5)))\/((r\/r**(3\/4)*r)\/(r*r**6*r))) assuming r is positive.\nAnswer: r**(573\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -21.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 4:36 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**24*p)\/(((p*p\/(p**(6\/13)*p))\/p*p)\/p)*(p\/(p\/(p*p**(-6)*p)))\/(p*p\/(p\/((p\/p**5)\/p))))**13 assuming p is positive.\nAnswer: p**331","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3766146*p**3 + 95*p**2 - 2046*p.\nAnswer: 22596876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31\/2? (a) 2\/7 (b) 2\/11 (c) -1\/2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13b0 (base 16) to base 3\nAnswer: 20220200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 39\/(-5 - -2). Suppose -2*c - u + 71 = 0. Suppose -o - o = -14. Calculate the greatest common factor of o and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 874 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4, -2*z + 100 = -4*n + 2*z. Is n <= -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 390 - 373. Solve -22*i + x*i = 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-5) - (8 + -8). Let a = -8 - -8.3. Let t = a - 0.6. What is the third biggest value in t, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6472208339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -316927789 and -0.5.\nAnswer: -316927789.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1088 + -638. Is 68 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*b**4*r**3 - 29*b**3*r**2 + 569*r**3 wrt b?\nAnswer: -72*b**3*r**3 - 87*b**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 + -26 + -152 + 94.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7750 in 4, 0.9, -13\/2?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.027 and 99967.\nAnswer: 2699.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7078843, -7078845, -7078847?\n\"Answer: -2*g - 7078841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18975152*d**6 - 2*d**3*s + 2*d**2*s - 10*d**2 + 297*d*s - 5*d - 20*s + 1 wrt d.\nAnswer: 2277018240*d**3 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70 - 281.\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by 638.\nAnswer: -35\/638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**5 - 10197*g**4 + 10982397*g**3 - 3615455547*g**2 - 7263899088*g - 3637450944 = 0.\nAnswer: -1, 633, 1384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308958929?\nAnswer: 308958929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (47 + -36 - (3 + 8))) + (3 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8510187, 17020366, 25530545?\n\"Answer: 8510179*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3, -55, -131, -237, -379, -563?\n\"Answer: -i**3 - 6*i**2 - 27*i + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**0*u*u)\/u*u)**(22\/5)*(u**(-1\/2))**(-29))**(-2\/67) assuming u is positive.\nAnswer: u**(-277\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n - 2. Let r be g(-6). Let s = -7 + r. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/14)\/((-780)\/(-3640)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 736?\nAnswer: 5152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 84*w + 3. Let b be u(3). Suppose m + 7 = -2*c - 4, 27 = -3*c - 5*m. Let h be (66\/(-18) - c)*1*45. What is the greatest common factor of b and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 942, 1835, 2750, 3693, 4670, 5687?\nAnswer: 6750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/6788 and -25\/44.\nAnswer: 74668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*c = 8. Suppose 2*r - 7 - 14 = 3*t, -8 = -r + 4*t. Solve -r = -2*h - c for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2395*h**3 + 958*h**2 - 958*h - 958. Let y(x) = x**3 + x**2 - x - 1. Give d(r) - 958*y(r).\nAnswer: 1437*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3436\/16 - 1 - (-2)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i - 2. Let j = 161 + -165. Let k(l) = 3*l + 1. Give j*k(p) - 3*m(p).\nAnswer: -3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p**2 + 5*p + 4. Let l(v) = 2*v**2 - 2*v - 2. Let y = 28 + -44. Let o be (-1)\/((-2*12\/y)\/(-6)). Calculate o*h(j) + 9*l(j).\nAnswer: -2*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45303 is divided by 221?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1393\/3 - -463. What is the second biggest value in 0, 2, -3\/7, 3\/7, y?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 251726?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 4 (c) -36 (d) 1\/831\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 + 139. Let w = q + -70. Suppose 0 = 6*j - w*j + 300. Round j to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -8. What is the common denominator of ((-1)\/g)\/((-1)\/(-124)) and 47\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 7438295.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*42526\nAnswer: 8505.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23099224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -815382819 - -815382822.49999967. Let d = -3.5 + h. Round d to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/1695 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 + 12*f**3 - 39*f**2 - 120*f + 144.\nAnswer: 3*(f - 3)*(f - 1)*(f + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 381.37 to the nearest ten.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 22 = 4*g, 4*f = -5*g - 8 + 25. Let z be 4\/(-10) + (-111)\/(-15). Let m = z - g. Solve -2*u + 8 = m*d, 2*d + 5*u - 20 = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + d + 4 = 0, 0 = x - 19*d + 21*d - 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1513874834*g*p**5 - 299685627*g*p**2 wrt p?\nAnswer: 90832490040*g*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 55031*b - 9*b**2 - 19*b**2 - 54939*b in the form p + c*b**2 + l*b and give l.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -2\/129684767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.173538mm in nanometers?\nAnswer: 3173538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 5*o**2 - 2*o - 9. Let j(z) = -2*z**3 - 11*z**2 - 4*z - 18. Determine 9*b(l) - 4*j(l).\nAnswer: -l**3 - l**2 - 2*l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38798581?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, 2\/11, -51?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**5\/30 + 5*f**4\/24 + f**3\/2 - f**2 - 42*f. What is l(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3002 is divided by 961.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3404 by -186.\nAnswer: -1702\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 380 (base 9) in base 5?\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 895.8435 + -896. Round x to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((1 + (sqrt(162) - sqrt(162)*-4) + sqrt(162))*-3 + 0 + 4) + 1)**2.\nAnswer: -6480*sqrt(2) + 839833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -716*u**2 + 1943*u**2 - 625*u**2 as v + z*u + j*u**2 and give j.\nAnswer: 602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 450864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 95 - 56 = -3*z, -4*a = -z + 61. Is ((-382)\/(-5))\/(18\/z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**4\/2 + 2*r**3 - 2*r**2 + 11. Suppose w(q) = 0. What is q?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -852 - -1705. Let t = 1567 - p. Calculate the remainder when t is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 557978 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 2*a + 55. What is d(0)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, u: 3, q: 1, o: 10, x: 1}. What is prob of sequence nxqo?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1309959 is divided by 896?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200122001122201 (base 3) to base 12.\nAnswer: -3396224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 31. Let w(k) = 2*k**2 + 3*k - 10. Let y(s) = 2*s**2 + 2*s - 10. Let x(c) = z*w(c) + 5*y(c). What is the remainder when x(4) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -7 - ((1 - 3) + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f. Suppose -5*j = -3*a - 99 - 33, -2*a + 88 = 4*j. Let y = -23 + j. Give l(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-1))\/((-60)\/48).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r - 1. Suppose -f + 54 = 59. Let m(i) = -3*i - 2. Give f*c(k) + 4*m(k).\nAnswer: -2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from sssssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 434c5 + 9?\nAnswer: 434ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 169.458435 rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 - 4*s + 4*s - 1 - 3*s**3 + s - 2*s**4 + 5*s**3 to the form n + j*s**2 + b*s**4 + v*s**3 + t*s and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 + 41119.1868?\nAnswer: 41118.3868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -59, -57, -53, -47?\n\"Answer: d**2 - d - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**3\/7 - 2*f**2 - 60*f\/7 - 72\/7 = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 33*c + 1. Let b(k) be the first derivative of k**3\/3 + 3. Let s = -38 - -28. Let h(y) = -12*y**2. Let p(f) = s*b(f) - h(f). Calculate p(a(l)).\nAnswer: 2178*l**2 + 132*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4.9, 0, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*(-1)\/(-10)*20\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zszszbsszs. What is prob of picking 1 b and 1 z?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-10)*-1)\/((-16)\/(-160)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001664 rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1299 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**5 + l**4 - 3*l**2 - 1. Let q(f) = -14*f**5 - 19*f**4 + 212*f**2 + 4. Let j(x) = -q(x) - 4*r(x). What is the third derivative of j(c) wrt c?\nAnswer: 360*c**2 + 360*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 - -284. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3538297*w**5 - 4*w**2 + 834*w + 12 wrt w?\nAnswer: -212297820*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29017 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*k**2 + 3 + (-6*k + 4*k + 3*k)*(-4*k + 3*k + 4*k) + k**2 - 2*k**2 - k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -15*k**2 - 16*k + 6. Let z(r) = -43*r**2 - 47*r + 17. Let f(d) = -17*b(d) + 6*z(d). Let i(c) = -3*c**2. Give i(f(p)).\nAnswer: -27*p**4 - 180*p**3 - 300*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 1.8, -6, -209 in ascending order.\nAnswer: -209, -6, 3\/5, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 166\/(-34) - ((-7400)\/102 - (-9204)\/1062)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3524034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -762284 (base 9) to base 15\nAnswer: -8e98a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31004442 divided by -42.\nAnswer: -738201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41273140, 82546280, 123819420?\nAnswer: 165092560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/16 and 1\/1979.\nAnswer: 31664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1324222.\nAnswer: 2, 662111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-5) + 2 - 2\/(-5). Solve 0 - 6\/5*f**4 + 0*f**2 - z*f**5 - 4\/5*f**3 + 0*f = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 0 + (5 - 4 + 4)*(1 - 1 - 1))*(-4*f**3 - f**3 + 3*f**3) to r + c*f + o*f**2 + k*f**3 and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**5 + 8*t**3 - 4*t.\nAnswer: -4*t*(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 e when three letters picked without replacement from {e: 5, b: 11}.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.52 + -1.37. Let i = h + -4.15. What is the second biggest value in 3, i, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 8\/247, 0.5, -2 in decreasing order.\nAnswer: 0.5, 8\/247, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19004, -38002, -57002, -76004?\nAnswer: -95008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*g + g + 0*g)*(-1 - 3 + 3) + (3 + 0 - 2)*(g + g - 3*g) - 22*g - 154*g + 20*g)*(-g - g + 3*g) - g - 2*g**2 + g.\nAnswer: -157*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2764485, 2764535, 2764619, 2764737, 2764889, 2765075, 2765295?\n\"Answer: 17*o**2 - o + 2764469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.159102 rounded to four dps?\nAnswer: 0.1591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.37 + 0.13. Let q = 2.05 + -0.05. Which is the nearest to -1? (a) q (b) k (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/1078 and 47\/3248868.\nAnswer: 250162836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5215156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2. Let y(o) = o + 11. Let u(v) = -11*n(v) + 2*y(v). Let l(f) = -2*f. Let s(m) = -4*l(m) - 6*u(m). Let r(j) = -12*j - 18*j + 9*j. What is s(r(w))?\nAnswer: 84*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 q when two letters picked without replacement from {q: 1, c: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*i**3 - 2*i**2*w**2 - 4*i**2 + i*w**2 - 37*w**2 wrt i?\nAnswer: -144*i - 4*w**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2003133130 (base 4) to base 13.\nAnswer: -15b1bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**3 + 11*y**2 + 4*y - 3. Let f be g(-5). Sort -5, f, -2, -31 in descending order.\nAnswer: f, -2, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*v - 2. Suppose -q + v + 1 = 0. What is d in -14*d**q + 0 + d - 57\/2*d**4 + 3\/2*d**2 - 14*d**3 = 0?\nAnswer: -1, -2\/7, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g = 70 + 10. Solve -g*t = 10 - 18 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 15*j**2 + 15*j - 227. What is l(15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13566 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.65 - -0.621. Let g = -5.271 + a. Let b = g + 5. What is the nearest to 1 in -5, b, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 769, 1545, 2329, 3127, 3945, 4789?\nAnswer: 5665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/(-49) - (4\/(-7) - 3). Solve -2*f - l = 0, -j = j + 5*f + 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -38*p - 31. Let f be b(-1). Solve -3*r = -5*y + f, -4*y = 4*r + r + 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 + 0 = 2*d - 23*t, 517*d - 516*d = -3*t + 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7*v**2 + 6*v + 3. Let c(x) = -3*x**2 - 3*x - 1. Determine -13*c(w) - 6*n(w).\nAnswer: -3*w**2 + 3*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}